Subgroups — C₅₃×#63041 #27270553

Order 13568.

7428 conjugacy classes of subgroups.

The subgroup lattice has 2456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3562	C₂	1	2	yes	maximal, complemented
2	C₅₃×#3560	C₂	1	4	yes	maximal, complemented
3	C₅₃×#3551	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#3546	C₂	1	2	yes	maximal, complemented
5	C₅₃×#3546	C₂	1	2	yes	maximal, complemented
6	C₅₃×#3543	C₂	1	2	yes	maximal, complemented
7	C₅₃×#3543	C₂	1	2	yes	maximal, complemented
8	C₅₃×#3542	C₂	1	4	yes	maximal, complemented
9	C₅₃×#3542	C₂	1	2	yes	maximal, complemented
10	C₅₃×#3540	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#3539	C₂	1	2	yes	maximal, complemented
12	C₅₃×#3537	C₂	1	4	yes	maximal, complemented
13	C₅₃×#3537	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#3534	C₂	1	4	yes	maximal, complemented
15	C₅₃×#3534	C₂	1	4	yes	maximal, complemented
16	C₅₃×#3533	C₂	1	2	yes	maximal, complemented
17	C₅₃×#3532	C₂	1	2	yes	maximal, complemented
18	C₅₃×#3532	C₂	1	4	yes	maximal, complemented
19	C₅₃×#3529	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₅₃×#560	C₂	1	2	yes	maximal, complemented
21	C₅₃×#3521	C₂	1	2	yes	maximal, complemented
22	C₅₃×#3519	C₂	1	2	yes	maximal, complemented
23	C₅₃×#3513	C₂	1	2	yes	maximal, complemented
24	C₅₃×#3498	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#3496	C₂	1	2	yes	maximal, complemented
26	C₅₃×#3488	C₂	1	2	yes	maximal, complemented
27	C₅₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#3484	C₂	1	2	yes	maximal, complemented
30	C₂×H(5,𝔽₂)×C₅₃	C₂²	1	1	yes	characteristic, complemented
31	C₂×H(5,𝔽₂)×C₅₃	C₂²	1	2	yes	complemented
32	C₂×H(5,𝔽₂)×C₅₃	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
34	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₅₃×#563	C₂²	1	1	yes	characteristic, complemented
36	C₅₃×#563	C₂²	1	2	yes	complemented
37	C₅₃×#563	C₂²	1	2	yes	complemented
38	C₅₃×#562	C₂²	1	2	yes	complemented
39	C₅₃×#562	C₂²	1	2	yes	complemented
40	C₅₃×#562	C₂²	1	2	yes	complemented
41	C₅₃×#562	C₂²	1	4	yes	complemented
42	C₅₃×#562	C₂²	1	4	yes	complemented
43	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
44	C₅₃×H(3,𝔽₄)	C₂²	1	2	yes	complemented
45	C₅₃×#560	C₂²	1	1	yes	characteristic, complemented
46	C₅₃×#560	C₂²	1	4	yes	complemented
47	C₅₃×#560	C₂²	1	2	yes	complemented
48	C₅₃×#560	C₂²	1	2	yes	complemented
49	C₅₃×#560	C₂²	1	4	yes	complemented
50	C₅₃×#560	C₂²	1	4	yes	complemented
51	C₅₃×#560	C₂²	1	4	yes	complemented
52	C₅₃×#560	C₂²	1	4	yes	complemented
53	C₅₃×#560	C₂²	1	4	yes	complemented
54	C₅₃×#560	C₂²	1	2	yes	complemented
55	C₅₃×#560	C₂²	1	4	yes	complemented
56	C₅₃×#560	C₂²	1	2	yes	complemented
57	C₅₃×#560	C₂²	1	2	yes	complemented
58	C₅₃×#560	C₂²	1	1	yes	characteristic, complemented
59	C₅₃×#560	C₂²	1	4	yes	complemented
60	C₅₃×#560	C₂²	1	4	yes	complemented
61	C₅₃×#560	C₂²	1	4	yes	complemented
62	C₅₃×#560	C₂²	1	2	yes	complemented
63	C₅₃×#559	C₂²	1	2	yes	complemented
64	C₅₃×#559	C₂²	1	2	yes	complemented
65	C₅₃×#556	C₂²	1	2	yes	complemented
66	C₅₃×#556	C₂²	1	2	yes	complemented
67	C₅₃×#555	C₂²	1	2	yes	complemented
68	C₅₃×#555	C₂²	1	2	yes	complemented
69	C₅₃×#554	C₂²	1	2	yes	complemented
70	C₅₃×#553	C₂²	1	2	yes	complemented
71	C₅₃×#553	C₂²	1	2	yes	complemented
72	C₅₃×#553	C₂²	1	4	yes	complemented
73	C₅₃×#553	C₂²	1	4	yes	complemented
74	C₅₃×#553	C₂²	1	4	yes	complemented
75	C₅₃×#553	C₂²	1	4	yes	complemented
76	C₅₃×#553	C₂²	1	2	yes	complemented
77	C₅₃×#553	C₂²	1	4	yes	complemented
78	C₅₃×#553	C₂²	1	2	yes	complemented
79	C₅₃×#553	C₂²	1	4	yes	complemented
80	C₅₃×#553	C₂²	1	4	yes	complemented
81	C₅₃×#552	C₂²	1	2	yes	complemented
82	C₅₃×#552	C₂²	1	2	yes	complemented
83	C₅₃×#552	C₂²	1	4	yes	complemented
84	C₅₃×#551	C₂²	1	4	yes	complemented
85	C₅₃×#551	C₂²	1	4	yes	complemented
86	C₅₃×#551	C₂²	1	4	yes	complemented
87	C₅₃×#551	C₂²	1	2	yes	complemented
88	C₅₃×#551	C₂²	1	4	yes	complemented
89	C₅₃×#551	C₂²	1	2	yes	complemented
90	C₅₃×#551	C₂²	1	4	yes	complemented
91	C₅₃×#551	C₂²	1	4	yes	complemented
92	C₅₃×#550	C₂²	1	2	yes	complemented
93	C₅₃×#550	C₂²	1	2	yes	complemented
94	C₅₃×#550	C₂²	1	2	yes	complemented
95	C₅₃×#550	C₂²	1	4	yes	complemented
96	C₅₃×#550	C₂²	1	2	yes	complemented
97	C₅₃×#550	C₂²	1	2	yes	complemented
98	C₅₃×#548	C₂²	1	2	yes	complemented
99	C₅₃×#548	C₂²	1	2	yes	complemented
100	C₅₃×#547	C₂²	1	2	yes	complemented
101	C₅₃×#547	C₂²	1	2	yes	complemented
102	C₅₃×#547	C₂²	1	2	yes	complemented
103	C₅₃×#547	C₂²	1	2	yes	complemented
104	C₅₃×#547	C₂²	1	4	yes	complemented
105	C₅₃×#547	C₂²	1	4	yes	complemented
106	C₅₃×#546	C₂²	1	2	yes	complemented
107	C₅₃×#546	C₂²	1	2	yes	complemented
108	C₅₃×#546	C₂²	1	2	yes	complemented
109	C₅₃×#546	C₂²	1	4	yes	complemented
110	C₅₃×#546	C₂²	1	4	yes	complemented
111	C₅₃×#546	C₂²	1	4	yes	complemented
112	C₅₃×#546	C₂²	1	2	yes	complemented
113	C₅₃×#546	C₂²	1	2	yes	complemented
114	C₅₃×#546	C₂²	1	2	yes	complemented
115	C₅₃×#546	C₂²	1	4	yes	complemented
116	C₅₃×#546	C₂²	1	4	yes	complemented
117	C₅₃×#546	C₂²	1	4	yes	complemented
118	C₅₃×#546	C₂²	1	4	yes	complemented
119	C₅₃×#546	C₂²	1	4	yes	complemented
120	C₅₃×#546	C₂²	1	4	yes	complemented
121	C₅₃×#546	C₂²	1	4	yes	complemented
122	C₅₃×#546	C₂²	1	4	yes	complemented
123	C₅₃×#546	C₂²	1	4	yes	complemented
124	C₅₃×#546	C₂²	1	2	yes	complemented
125	C₅₃×#546	C₂²	1	4	yes	complemented
126	C₅₃×#546	C₂²	1	2	yes	complemented
127	C₅₃×#546	C₂²	1	4	yes	complemented
128	C₅₃×#546	C₂²	1	4	yes	complemented
129	C₅₃×#546	C₂²	1	4	yes	complemented
130	C₅₃×#546	C₂²	1	2	yes	complemented
131	C₅₃×#546	C₂²	1	2	yes	complemented
132	D₄²×C₅₃	C₂²	1	2	yes	complemented
133	D₄²×C₅₃	C₂²	1	2	yes	complemented
134	D₄²×C₅₃	C₂²	1	2	yes	complemented
135	D₄²×C₅₃	C₂²	1	4	yes	complemented
136	D₄²×C₅₃	C₂²	1	4	yes	complemented
137	D₄²×C₅₃	C₂²	1	4	yes	complemented
138	D₄²×C₅₃	C₂²	1	2	yes	complemented
139	D₄²×C₅₃	C₂²	1	2	yes	complemented
140	D₄²×C₅₃	C₂²	1	2	yes	complemented
141	D₄²×C₅₃	C₂²	1	2	yes	complemented
142	D₄²×C₅₃	C₂²	1	4	yes	complemented
143	D₄²×C₅₃	C₂²	1	4	yes	complemented
144	D₄²×C₅₃	C₂²	1	4	yes	complemented
145	D₄²×C₅₃	C₂²	1	4	yes	complemented
146	D₄²×C₅₃	C₂²	1	2	yes	complemented
147	D₄²×C₅₃	C₂²	1	2	yes	complemented
148	D₄²×C₅₃	C₂²	1	4	yes	complemented
149	D₄²×C₅₃	C₂²	1	4	yes	complemented
150	D₄²×C₅₃	C₂²	1	2	yes	complemented
151	C₅₃×#542	C₂²	1	2	yes	complemented
152	C₅₃×#542	C₂²	1	4	yes	complemented
153	C₅₃×#542	C₂²	1	2	yes	complemented
154	C₅₃×#542	C₂²	1	4	yes	complemented
155	C₅₃×#541	C₂²	1	2	yes	complemented
156	C₅₃×#540	C₂²	1	2	yes	complemented
157	C₅₃×#540	C₂²	1	4	yes	complemented
158	C₅₃×#540	C₂²	1	4	yes	complemented
159	C₅₃×#540	C₂²	1	2	yes	complemented
160	C₅₃×#540	C₂²	1	2	yes	complemented
161	C₅₃×#540	C₂²	1	4	yes	complemented
162	C₅₃×#540	C₂²	1	4	yes	complemented
163	C₅₃×#540	C₂²	1	4	yes	complemented
164	C₅₃×#540	C₂²	1	4	yes	complemented
165	C₅₃×#539	C₂²	1	4	yes	complemented
166	C₅₃×#539	C₂²	1	4	yes	complemented
167	C₅₃×#539	C₂²	1	4	yes	complemented
168	C₅₃×#539	C₂²	1	4	yes	complemented
169	C₅₃×#539	C₂²	1	4	yes	complemented
170	C₅₃×#538	C₂²	1	4	yes	complemented
171	C₅₃×#538	C₂²	1	4	yes	complemented
172	C₅₃×#538	C₂²	1	4	yes	complemented
173	C₅₃×#538	C₂²	1	4	yes	complemented
174	C₅₃×#538	C₂²	1	4	yes	complemented
175	C₅₃×#538	C₂²	1	4	yes	complemented
176	C₅₃×#538	C₂²	1	4	yes	complemented
177	C₅₃×#538	C₂²	1	4	yes	complemented
178	C₅₃×#538	C₂²	1	4	yes	complemented
179	C₅₃×#538	C₂²	1	4	yes	complemented
180	C₅₃×#538	C₂²	1	4	yes	complemented
181	C₅₃×#538	C₂²	1	4	yes	complemented
182	C₅₃×#538	C₂²	1	4	yes	complemented
183	C₅₃×#538	C₂²	1	4	yes	complemented
184	C₅₃×#537	C₂²	1	2	yes	complemented
185	C₅₃×#537	C₂²	1	2	yes	complemented
186	C₅₃×#537	C₂²	1	4	yes	complemented
187	C₅₃×#537	C₂²	1	4	yes	complemented
188	C₅₃×#537	C₂²	1	2	yes	complemented
189	C₅₃×#536	C₂²	1	1	yes	characteristic, complemented
190	C₅₃×#536	C₂²	1	1	yes	characteristic, complemented
191	C₅₃×#535	C₂²	1	1	yes	characteristic, complemented
192	C₅₃×#535	C₂²	1	2	yes	complemented
193	C₅₃×#535	C₂²	1	2	yes	complemented
194	C₅₃×#535	C₂²	1	1	yes	characteristic, complemented
195	C₅₃×#535	C₂²	1	4	yes	complemented
196	C₅₃×#535	C₂²	1	2	yes	complemented
197	C₅₃×#535	C₂²	1	4	yes	complemented
198	C₅₃×#535	C₂²	1	4	yes	complemented
199	C₅₃×#535	C₂²	1	4	yes	complemented
200	C₅₃×#535	C₂²	1	1	yes	characteristic, complemented
201	C₅₃×#535	C₂²	1	2	yes	complemented
202	C₅₃×#535	C₂²	1	4	yes	complemented
203	C₅₃×#535	C₂²	1	1	yes	characteristic, complemented
204	C₅₃×#535	C₂²	1	2	yes	complemented
205	C₅₃×#534	C₂²	1	2	yes	complemented
206	C₅₃×#534	C₂²	1	2	yes	complemented
207	C₅₃×#534	C₂²	1	4	yes	complemented
208	C₅₃×#534	C₂²	1	4	yes	complemented
209	C₅₃×#534	C₂²	1	2	yes	complemented
210	C₅₃×#534	C₂²	1	4	yes	complemented
211	C₅₃×#534	C₂²	1	4	yes	complemented
212	C₅₃×#534	C₂²	1	4	yes	complemented
213	C₅₃×#534	C₂²	1	4	yes	complemented
214	C₅₃×#534	C₂²	1	4	yes	complemented
215	C₅₃×#534	C₂²	1	4	yes	complemented
216	C₅₃×#534	C₂²	1	2	yes	complemented
217	C₅₃×#532	C₂²	1	2	yes	complemented
218	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
219	C₅₃×#532	C₂²	1	2	yes	complemented
220	C₅₃×#532	C₂²	1	2	yes	complemented
221	C₅₃×#532	C₂²	1	2	yes	complemented
222	C₂×#127×C₅₃	C₂²	1	2	yes	complemented
223	C₂×#127×C₅₃	C₂²	1	1	yes	characteristic, complemented
224	C₅₃×#529	C₂²	1	2	yes	complemented
225	C₅₃×#529	C₂²	1	2	yes	complemented
226	C₅₃×#529	C₂²	1	2	yes	complemented
227	C₅₃×#529	C₂²	1	4	yes	complemented
228	C₅₃×#529	C₂²	1	2	yes	complemented
229	C₅₃×#529	C₂²	1	2	yes	complemented
230	C₂×#126×C₅₃	C₂²	1	4	yes	complemented
231	C₅₃×#525	C₂²	1	2	yes	complemented
232	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
233	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
234	C₅₃×#525	C₂²	1	2	yes	complemented
235	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
236	C₅₃×#525	C₂²	1	2	yes	complemented
237	C₅₃×#525	C₂²	1	4	yes	complemented
238	C₅₃×#525	C₂²	1	4	yes	complemented
239	C₅₃×#525	C₂²	1	4	yes	complemented
240	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
241	C₂×#123×C₅₃	C₂²	1	2	yes	complemented
242	C₂×#123×C₅₃	C₂²	1	4	yes	complemented
243	C₂×#123×C₅₃	C₂²	1	2	yes	complemented
244	C₂×#121×C₅₃	C₂²	1	4	yes	complemented
245	C₂×#121×C₅₃	C₂²	1	4	yes	complemented
246	C₂×#121×C₅₃	C₂²	1	4	yes	complemented
247	C₂×#121×C₅₃	C₂²	1	2	yes	complemented
248	C₂×#121×C₅₃	C₂²	1	4	yes	complemented
249	C₂×#120×C₅₃	C₂²	1	4	yes	complemented
250	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
251	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
252	C₂×#120×C₅₃	C₂²	1	4	yes	complemented
253	C₅₃×#520	C₂²	1	2	yes	complemented
254	C₅₃×#518	C₂²	1	1	yes	characteristic, complemented
255	C₅₃×#518	C₂²	1	2	yes	complemented
256	C₅₃×#518	C₂²	1	1	yes	characteristic, complemented
257	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
258	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
259	C₂⁵×C₅₃	C₂³	1	2	yes	—
260	H(5,𝔽₂)×C₅₃	—	4	4	no	—
261	H(5,𝔽₂)×C₅₃	—	4	8	no	—
262	H(5,𝔽₂)×C₅₃	—	4	4	no	—
263	C₂×#41×C₅₃	—	4	4	no	—
264	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
265	C₂×#41×C₅₃	C₂³	1	2	yes	—
266	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
267	C₂×#41×C₅₃	C₂³	1	2	yes	—
268	C₂×#41×C₅₃	C₂³	1	2	yes	—
269	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
270	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
271	C₂×#41×C₅₃	C₂³	1	4	yes	—
272	C₂×#41×C₅₃	C₂³	1	2	yes	—
273	C₂×#41×C₅₃	C₂³	1	2	yes	—
274	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic, complemented
275	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
276	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
277	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
278	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
279	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
280	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
281	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
282	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
283	C₂²×D₄×C₅₃	—	4	4	no	—
284	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
285	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
286	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
288	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
289	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
290	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
291	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
292	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
293	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
294	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
295	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
296	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
297	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
298	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
299	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
300	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
301	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
302	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
303	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
304	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
305	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
306	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
307	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
308	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
309	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
310	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
311	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
312	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
313	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
314	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
315	C₂³×C₄×C₅₃	C₂³	1	2	yes	complemented
316	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
317	C₂³×C₄×C₅₃	C₂³	1	4	yes	complemented
318	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
319	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
320	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
321	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
322	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
323	#127×C₅₃	C₂³	1	1	yes	characteristic
324	#127×C₅₃	C₂³	1	2	yes	—
325	#127×C₅₃	C₂³	1	2	yes	—
326	#127×C₅₃	C₂³	1	4	yes	—
327	#127×C₅₃	C₂³	1	2	yes	—
328	#127×C₅₃	C₂³	1	2	yes	—
329	#127×C₅₃	C₂³	1	2	yes	—
330	#127×C₅₃	C₂³	1	4	yes	—
331	#127×C₅₃	C₂³	1	4	yes	—
332	#127×C₅₃	C₂³	1	2	yes	—
333	#127×C₅₃	C₂³	1	2	yes	complemented
334	#127×C₅₃	C₂³	1	2	yes	complemented
335	#127×C₅₃	C₂³	1	2	yes	complemented
336	#127×C₅₃	C₂³	1	2	yes	complemented
337	#127×C₅₃	C₂³	1	4	yes	complemented
338	#127×C₅₃	C₂³	1	4	yes	complemented
339	#126×C₅₃	C₂³	1	2	yes	—
340	#126×C₅₃	C₂³	1	4	yes	—
341	#126×C₅₃	C₂³	1	4	yes	—
342	#126×C₅₃	C₂³	1	4	yes	—
343	#126×C₅₃	C₂³	1	2	yes	—
344	#126×C₅₃	C₂³	1	2	yes	—
345	#126×C₅₃	C₂³	1	4	yes	—
346	#126×C₅₃	C₂³	1	4	yes	—
347	#126×C₅₃	C₂³	1	4	yes	complemented
348	#126×C₅₃	C₂³	1	4	yes	complemented
349	#126×C₅₃	C₂³	1	4	yes	complemented
350	#126×C₅₃	C₂³	1	4	yes	complemented
351	#126×C₅₃	C₂³	1	2	yes	complemented
352	#126×C₅₃	C₂³	1	4	yes	complemented
353	#126×C₅₃	C₂³	1	2	yes	complemented
354	#126×C₅₃	C₂³	1	2	yes	complemented
355	#126×C₅₃	C₂³	1	4	yes	complemented
356	#126×C₅₃	C₂³	1	4	yes	complemented
357	#126×C₅₃	C₂³	1	4	yes	complemented
358	#126×C₅₃	C₂³	1	4	yes	complemented
359	#126×C₅₃	C₂³	1	4	yes	complemented
360	#126×C₅₃	C₂³	1	4	yes	complemented
361	#125×C₅₃	C₂³	1	4	yes	complemented
362	#125×C₅₃	C₂³	1	2	yes	complemented
363	#125×C₅₃	C₂³	1	2	yes	complemented
364	#125×C₅₃	C₂³	1	2	yes	complemented
365	#125×C₅₃	C₂³	1	2	yes	complemented
366	#125×C₅₃	C₂³	1	2	yes	complemented
367	#125×C₅₃	C₂³	1	4	yes	complemented
368	#125×C₅₃	C₂³	1	4	yes	complemented
369	#125×C₅₃	C₂³	1	4	yes	complemented
370	#124×C₅₃	C₂³	1	2	yes	—
371	#124×C₅₃	C₂³	1	2	yes	—
372	#124×C₅₃	C₂³	1	2	yes	—
373	#124×C₅₃	C₂³	1	2	yes	—
374	#124×C₅₃	C₂³	1	2	yes	—
375	#124×C₅₃	C₂³	1	1	yes	characteristic
376	#124×C₅₃	C₂³	1	2	yes	—
377	#124×C₅₃	C₂³	1	2	yes	—
378	#124×C₅₃	C₂³	1	2	yes	—
379	#124×C₅₃	C₂³	1	4	yes	—
380	#124×C₅₃	C₂³	1	4	yes	—
381	#124×C₅₃	C₂³	1	4	yes	—
382	#124×C₅₃	C₂³	1	4	yes	—
383	#124×C₅₃	C₂³	1	2	yes	—
384	#124×C₅₃	C₂³	1	4	yes	—
385	#124×C₅₃	C₂³	1	4	yes	complemented
386	#124×C₅₃	C₂³	1	2	yes	complemented
387	#124×C₅₃	C₂³	1	2	yes	complemented
388	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
389	#124×C₅₃	C₂³	1	4	yes	complemented
390	#124×C₅₃	C₂³	1	2	yes	complemented
391	#124×C₅₃	C₂³	1	2	yes	complemented
392	#124×C₅₃	C₂³	1	4	yes	complemented
393	#124×C₅₃	C₂³	1	4	yes	complemented
394	#124×C₅₃	C₂³	1	4	yes	complemented
395	#123×C₅₃	C₂³	1	1	yes	characteristic
396	#123×C₅₃	C₂³	1	2	yes	—
397	#123×C₅₃	C₂³	1	2	yes	—
398	#123×C₅₃	C₂³	1	4	yes	—
399	#123×C₅₃	C₂³	1	4	yes	—
400	#123×C₅₃	C₂³	1	4	yes	—
401	#123×C₅₃	C₂³	1	4	yes	—
402	#123×C₅₃	C₂³	1	4	yes	—
403	#123×C₅₃	C₂³	1	4	yes	—
404	#123×C₅₃	C₂³	1	2	yes	—
405	#123×C₅₃	C₂³	1	1	yes	characteristic
406	#123×C₅₃	C₂³	1	2	yes	—
407	#123×C₅₃	C₂³	1	2	yes	—
408	#123×C₅₃	C₂³	1	1	yes	characteristic
409	#123×C₅₃	C₂³	1	4	yes	—
410	#123×C₅₃	C₂³	1	2	yes	—
411	#123×C₅₃	C₂³	1	4	yes	—
412	#123×C₅₃	C₂³	1	2	yes	—
413	#123×C₅₃	C₂³	1	2	yes	—
414	#123×C₅₃	C₂³	1	4	yes	—
415	#123×C₅₃	C₂³	1	4	yes	—
416	#123×C₅₃	C₂³	1	4	yes	—
417	#123×C₅₃	C₂³	1	4	yes	—
418	#123×C₅₃	C₂³	1	4	yes	—
419	#123×C₅₃	C₂³	1	4	yes	—
420	#123×C₅₃	C₂³	1	2	yes	complemented
421	#123×C₅₃	C₂³	1	1	yes	characteristic, complemented
422	#123×C₅₃	C₂³	1	4	yes	complemented
423	#123×C₅₃	C₂³	1	2	yes	complemented
424	#123×C₅₃	C₂³	1	2	yes	complemented
425	#123×C₅₃	C₂³	1	2	yes	complemented
426	#123×C₅₃	C₂³	1	4	yes	complemented
427	#123×C₅₃	C₂³	1	4	yes	complemented
428	#123×C₅₃	C₂³	1	4	yes	complemented
429	#123×C₅₃	C₂³	1	4	yes	complemented
430	#123×C₅₃	C₂³	1	4	yes	complemented
431	#123×C₅₃	C₂³	1	2	yes	complemented
432	#123×C₅₃	C₂³	1	4	yes	complemented
433	#123×C₅₃	C₂³	1	4	yes	complemented
434	#123×C₅₃	C₂³	1	4	yes	complemented
435	#123×C₅₃	C₂³	1	2	yes	complemented
436	#123×C₅₃	C₂³	1	4	yes	complemented
437	#123×C₅₃	C₂³	1	4	yes	complemented
438	#123×C₅₃	C₂³	1	2	yes	complemented
439	#123×C₅₃	C₂³	1	2	yes	complemented
440	#123×C₅₃	C₂³	1	4	yes	complemented
441	#123×C₅₃	C₂³	1	4	yes	complemented
442	#123×C₅₃	C₂³	1	4	yes	complemented
443	#123×C₅₃	C₂³	1	4	yes	complemented
444	#123×C₅₃	C₂³	1	4	yes	complemented
445	#123×C₅₃	C₂³	1	4	yes	complemented
446	#123×C₅₃	C₂³	1	4	yes	complemented
447	#123×C₅₃	C₂³	1	4	yes	complemented
448	#123×C₅₃	C₂³	1	4	yes	complemented
449	#123×C₅₃	C₂³	1	4	yes	complemented
450	#123×C₅₃	C₂³	1	4	yes	complemented
451	#123×C₅₃	C₂³	1	4	yes	complemented
452	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
453	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
454	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
455	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
456	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
457	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
458	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
459	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
460	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
461	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
462	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
463	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
464	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
465	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
466	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
467	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
468	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
469	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
470	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
471	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
472	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
473	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
474	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
475	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
476	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
477	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
478	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
479	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
480	#121×C₅₃	C₂³	1	2	yes	—
481	#121×C₅₃	C₂³	1	2	yes	—
482	#121×C₅₃	C₂³	1	2	yes	—
483	#121×C₅₃	C₂³	1	4	yes	—
484	#121×C₅₃	C₂³	1	4	yes	—
485	#121×C₅₃	C₂³	1	4	yes	—
486	#121×C₅₃	C₂³	1	4	yes	—
487	#121×C₅₃	C₂³	1	4	yes	—
488	#121×C₅₃	C₂³	1	4	yes	—
489	#121×C₅₃	C₂³	1	2	yes	—
490	#121×C₅₃	C₂³	1	4	yes	—
491	#121×C₅₃	C₂³	1	2	yes	—
492	#121×C₅₃	C₂³	1	4	yes	—
493	#121×C₅₃	C₂³	1	4	yes	—
494	#121×C₅₃	C₂³	1	4	yes	—
495	#121×C₅₃	C₂³	1	4	yes	—
496	#121×C₅₃	C₂³	1	4	yes	—
497	#121×C₅₃	C₂³	1	2	yes	—
498	#121×C₅₃	C₂³	1	4	yes	—
499	#121×C₅₃	C₂³	1	2	yes	—
500	#121×C₅₃	C₂³	1	2	yes	—
501	#121×C₅₃	C₂³	1	2	yes	—
502	#121×C₅₃	C₂³	1	2	yes	—
503	#121×C₅₃	C₂³	1	2	yes	—
504	#121×C₅₃	C₂³	1	2	yes	—
505	#121×C₅₃	C₂³	1	2	yes	—
506	#121×C₅₃	C₂³	1	2	yes	—
507	#121×C₅₃	C₂³	1	4	yes	—
508	#121×C₅₃	C₂³	1	2	yes	—
509	#121×C₅₃	C₂³	1	2	yes	—
510	#121×C₅₃	C₂³	1	2	yes	—
511	#121×C₅₃	C₂³	1	2	yes	—
512	#121×C₅₃	C₂³	1	2	yes	—
513	#121×C₅₃	C₂³	1	4	yes	—
514	#121×C₅₃	C₂³	1	2	yes	—
515	#121×C₅₃	C₂³	1	2	yes	—
516	#121×C₅₃	C₂³	1	4	yes	—
517	#121×C₅₃	C₂³	1	4	yes	—
518	#121×C₅₃	C₂³	1	4	yes	—
519	#121×C₅₃	C₂³	1	4	yes	—
520	#121×C₅₃	C₂³	1	4	yes	—
521	#121×C₅₃	C₂³	1	4	yes	—
522	#121×C₅₃	C₂³	1	4	yes	—
523	#121×C₅₃	C₂³	1	4	yes	—
524	#121×C₅₃	C₂³	1	4	yes	—
525	#121×C₅₃	C₂³	1	4	yes	—
526	#121×C₅₃	C₂³	1	4	yes	—
527	#121×C₅₃	C₂³	1	4	yes	—
528	#121×C₅₃	C₂³	1	4	yes	—
529	#121×C₅₃	C₂³	1	4	yes	—
530	#121×C₅₃	C₂³	1	4	yes	—
531	#121×C₅₃	C₂³	1	4	yes	complemented
532	#121×C₅₃	C₂³	1	4	yes	complemented
533	#121×C₅₃	C₂³	1	2	yes	complemented
534	#121×C₅₃	C₂³	1	4	yes	complemented
535	#121×C₅₃	C₂³	1	4	yes	complemented
536	#121×C₅₃	C₂³	1	4	yes	complemented
537	#121×C₅₃	C₂³	1	4	yes	complemented
538	#121×C₅₃	C₂³	1	4	yes	complemented
539	#121×C₅₃	C₂³	1	4	yes	complemented
540	#121×C₅₃	C₂³	1	4	yes	complemented
541	#121×C₅₃	C₂³	1	4	yes	complemented
542	#121×C₅₃	C₂³	1	2	yes	complemented
543	#121×C₅₃	C₂³	1	4	yes	complemented
544	#121×C₅₃	C₂³	1	4	yes	complemented
545	#121×C₅₃	C₂³	1	4	yes	complemented
546	#121×C₅₃	C₂³	1	2	yes	complemented
547	#121×C₅₃	C₂³	1	4	yes	complemented
548	#121×C₅₃	C₂³	1	4	yes	complemented
549	#121×C₅₃	C₂³	1	4	yes	complemented
550	#121×C₅₃	C₂³	1	4	yes	complemented
551	#121×C₅₃	C₂³	1	4	yes	complemented
552	#121×C₅₃	C₂³	1	4	yes	complemented
553	#121×C₅₃	C₂³	1	4	yes	complemented
554	#121×C₅₃	C₂³	1	2	yes	complemented
555	#121×C₅₃	C₂³	1	2	yes	complemented
556	#121×C₅₃	C₂³	1	4	yes	complemented
557	#121×C₅₃	C₂³	1	2	yes	complemented
558	#121×C₅₃	C₂³	1	4	yes	complemented
559	#121×C₅₃	C₂³	1	4	yes	complemented
560	#121×C₅₃	C₂³	1	4	yes	complemented
561	#121×C₅₃	C₂³	1	4	yes	complemented
562	#121×C₅₃	C₂³	1	4	yes	complemented
563	#121×C₅₃	C₂³	1	4	yes	complemented
564	#121×C₅₃	C₂³	1	4	yes	complemented
565	#121×C₅₃	C₂³	1	4	yes	complemented
566	#121×C₅₃	C₂³	1	4	yes	complemented
567	#121×C₅₃	C₂³	1	4	yes	complemented
568	#121×C₅₃	C₂³	1	4	yes	complemented
569	#121×C₅₃	C₂³	1	4	yes	complemented
570	#121×C₅₃	C₂³	1	4	yes	complemented
571	#120×C₅₃	C₂³	1	2	yes	—
572	#120×C₅₃	C₂³	1	2	yes	—
573	#120×C₅₃	C₂³	1	1	yes	characteristic
574	#120×C₅₃	C₂³	1	4	yes	—
575	#120×C₅₃	C₂³	1	2	yes	—
576	#120×C₅₃	C₂³	1	1	yes	characteristic
577	#120×C₅₃	C₂³	1	2	yes	—
578	#120×C₅₃	C₂³	1	4	yes	—
579	#120×C₅₃	C₂³	1	4	yes	—
580	#120×C₅₃	C₂³	1	2	yes	—
581	#120×C₅₃	C₂³	1	2	yes	—
582	#120×C₅₃	C₂³	1	4	yes	—
583	#120×C₅₃	C₂³	1	2	yes	—
584	#120×C₅₃	C₂³	1	4	yes	—
585	#120×C₅₃	C₂³	1	4	yes	—
586	#120×C₅₃	C₂³	1	4	yes	—
587	#120×C₅₃	C₂³	1	4	yes	—
588	#120×C₅₃	C₂³	1	4	yes	—
589	#120×C₅₃	C₂³	1	4	yes	—
590	#120×C₅₃	C₂³	1	4	yes	—
591	#120×C₅₃	C₂³	1	4	yes	—
592	#120×C₅₃	C₂³	1	4	yes	—
593	#120×C₅₃	C₂³	1	4	yes	—
594	#120×C₅₃	C₂³	1	4	yes	—
595	#120×C₅₃	C₂³	1	4	yes	—
596	#120×C₅₃	C₂³	1	4	yes	—
597	#120×C₅₃	C₂³	1	4	yes	—
598	#120×C₅₃	C₂³	1	1	yes	characteristic
599	#120×C₅₃	C₂³	1	2	yes	—
600	#120×C₅₃	C₂³	1	4	yes	—
601	#120×C₅₃	C₂³	1	4	yes	—
602	#120×C₅₃	C₂³	1	4	yes	—
603	#120×C₅₃	C₂³	1	2	yes	—
604	#120×C₅₃	C₂³	1	4	yes	—
605	#120×C₅₃	C₂³	1	4	yes	—
606	#120×C₅₃	C₂³	1	4	yes	—
607	#120×C₅₃	C₂³	1	2	yes	complemented
608	#120×C₅₃	C₂³	1	1	yes	characteristic, complemented
609	#120×C₅₃	C₂³	1	4	yes	complemented
610	#120×C₅₃	C₂³	1	4	yes	complemented
611	#120×C₅₃	C₂³	1	2	yes	complemented
612	#120×C₅₃	C₂³	1	4	yes	complemented
613	#120×C₅₃	C₂³	1	4	yes	complemented
614	#120×C₅₃	C₂³	1	4	yes	complemented
615	#120×C₅₃	C₂³	1	4	yes	complemented
616	#120×C₅₃	C₂³	1	4	yes	complemented
617	#120×C₅₃	C₂³	1	4	yes	complemented
618	#120×C₅₃	C₂³	1	4	yes	complemented
619	#120×C₅₃	C₂³	1	4	yes	complemented
620	#120×C₅₃	C₂³	1	2	yes	complemented
621	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
622	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
623	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
624	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
625	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
626	C₄×D₄×C₅₃	C₂³	1	2	yes	—
627	C₄×D₄×C₅₃	C₂³	1	2	yes	—
628	C₄×D₄×C₅₃	C₂³	1	2	yes	—
629	C₄×D₄×C₅₃	C₂³	1	4	yes	—
630	C₄×D₄×C₅₃	C₂³	1	4	yes	—
631	C₄×D₄×C₅₃	C₂³	1	4	yes	—
632	C₄×D₄×C₅₃	C₂³	1	2	yes	—
633	C₄×D₄×C₅₃	C₂³	1	2	yes	—
634	C₄×D₄×C₅₃	C₂³	1	2	yes	—
635	C₄×D₄×C₅₃	C₂³	1	2	yes	—
636	C₄×D₄×C₅₃	C₂³	1	2	yes	—
637	C₄×D₄×C₅₃	C₂³	1	2	yes	—
638	C₄×D₄×C₅₃	C₂³	1	2	yes	—
639	C₄×D₄×C₅₃	C₂³	1	2	yes	—
640	C₄×D₄×C₅₃	C₂³	1	2	yes	—
641	C₄×D₄×C₅₃	C₂³	1	4	yes	—
642	C₄×D₄×C₅₃	C₂³	1	4	yes	—
643	C₄×D₄×C₅₃	C₂³	1	4	yes	—
644	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
645	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
646	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
647	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
648	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
649	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
650	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
651	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
652	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
653	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
654	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
655	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
656	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
657	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
658	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
659	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
660	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
661	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
662	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
663	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
664	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
665	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
666	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
667	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
668	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
669	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
670	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
671	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
672	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
673	#117×C₅₃	C₂³	1	2	yes	—
674	#117×C₅₃	C₂³	1	1	yes	characteristic
675	#117×C₅₃	C₂³	1	1	yes	characteristic
676	#117×C₅₃	C₂³	1	2	yes	—
677	#117×C₅₃	C₂³	1	2	yes	complemented
678	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
679	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
680	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
681	#117×C₅₃	C₂³	1	2	yes	complemented
682	#117×C₅₃	C₂³	1	4	yes	complemented
683	#117×C₅₃	C₂³	1	4	yes	complemented
684	#117×C₅₃	C₂³	1	4	yes	complemented
685	#117×C₅₃	C₂³	1	4	yes	complemented
686	#117×C₅₃	C₂³	1	4	yes	complemented
687	#117×C₅₃	C₂³	1	4	yes	complemented
688	#117×C₅₃	C₂³	1	4	yes	complemented
689	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
690	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
691	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
692	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
693	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
694	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
695	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
696	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
697	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
698	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
699	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
700	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
701	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
702	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
703	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
704	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
705	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
706	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
707	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
708	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
709	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
710	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
711	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
712	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
713	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
714	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
715	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
716	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
717	C₂⁴×C₅₃	—	4	4	no	—
718	C₂⁴×C₅₃	—	8	4	no	—
719	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
720	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
721	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
722	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
723	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
724	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
725	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
726	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
727	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
728	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
729	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
730	#41×C₅₃	—	2	8	no	—
731	#41×C₅₃	—	2	4	no	—
732	#41×C₅₃	—	4	2	no	—
733	#41×C₅₃	—	4	4	no	—
734	#41×C₅₃	—	4	2	no	—
735	#41×C₅₃	—	4	8	no	—
736	#41×C₅₃	—	4	8	no	—
737	#41×C₅₃	—	4	4	no	—
738	#41×C₅₃	—	4	4	no	—
739	#41×C₅₃	—	4	4	no	—
740	#41×C₅₃	—	4	4	no	—
741	#41×C₅₃	—	4	2	no	—
742	#41×C₅₃	—	4	2	no	—
743	#41×C₅₃	—	4	4	no	—
744	#41×C₅₃	—	4	4	no	—
745	#41×C₅₃	—	8	4	no	—
746	#41×C₅₃	—	8	4	no	—
747	#41×C₅₃	—	8	4	no	—
748	C₂×Q₈×C₅₃	—	4	2	no	—
749	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
750	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
751	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
752	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
753	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
754	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
755	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
756	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
757	C₂×D₄×C₅₃	—	2	4	no	—
758	C₂×D₄×C₅₃	—	2	8	no	—
759	C₂×D₄×C₅₃	—	2	4	no	—
760	C₂×D₄×C₅₃	—	2	8	no	—
761	C₂×D₄×C₅₃	—	4	2	no	—
762	C₂×D₄×C₅₃	—	4	4	no	—
763	C₂×D₄×C₅₃	—	4	4	no	—
764	C₂×D₄×C₅₃	—	4	2	no	—
765	C₂×D₄×C₅₃	—	4	2	no	—
766	C₂×D₄×C₅₃	—	4	8	no	—
767	C₂×D₄×C₅₃	—	4	4	no	—
768	C₂×D₄×C₅₃	—	4	4	no	—
769	C₂×D₄×C₅₃	—	4	4	no	—
770	C₂×D₄×C₅₃	—	4	8	no	—
771	C₂×D₄×C₅₃	—	4	4	no	—
772	C₂×D₄×C₅₃	—	4	8	no	—
773	C₂×D₄×C₅₃	—	4	8	no	—
774	C₂×D₄×C₅₃	—	4	4	no	—
775	C₂×D₄×C₅₃	—	4	4	no	—
776	C₂×D₄×C₅₃	—	4	8	no	—
777	C₂×D₄×C₅₃	—	8	4	no	—
778	C₂×D₄×C₅₃	—	8	4	no	—
779	C₂×D₄×C₅₃	—	8	4	no	—
780	C₂×D₄×C₅₃	—	8	4	no	—
781	C₂×D₄×C₅₃	—	8	4	no	—
782	C₂×D₄×C₅₃	—	8	4	no	—
783	C₂×D₄×C₅₃	—	8	4	no	—
784	C₂×D₄×C₅₃	—	8	4	no	—
785	C₂×D₄×C₅₃	—	8	4	no	—
786	C₂×D₄×C₅₃	—	8	4	no	—
787	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
788	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
789	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
790	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
791	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
792	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
793	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
794	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
795	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
796	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
797	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
798	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
799	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
800	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
801	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
802	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
803	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
804	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
805	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
806	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
807	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
808	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
809	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
810	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
811	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
812	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
813	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
814	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
815	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
816	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
817	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
818	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
819	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
820	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
821	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
822	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
823	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
824	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
825	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
826	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
827	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
828	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
829	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
830	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
831	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
832	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
833	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
834	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
835	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
836	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
837	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
838	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
839	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
840	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
842	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
843	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
844	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
845	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
846	C₂²×C₄×C₅₃	—	4	2	no	—
847	C₂²×C₄×C₅₃	—	4	2	no	—
848	C₂²×C₄×C₅₃	—	4	4	no	—
849	C₂²×C₄×C₅₃	—	8	4	no	—
850	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
851	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
852	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
853	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
854	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
855	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
856	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
857	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
858	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
859	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
860	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
861	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
862	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
863	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
864	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
865	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
866	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
867	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
868	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
869	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
870	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
871	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
872	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
873	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
874	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
875	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
876	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
877	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
878	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
879	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
880	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
881	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
882	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
883	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
884	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
885	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
886	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
887	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
888	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
889	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
890	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
891	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
892	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
893	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
894	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
895	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
896	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
897	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
898	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
899	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
900	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
901	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
902	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
903	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
904	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
905	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
906	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
907	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
908	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
909	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
910	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
911	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
912	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
913	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
914	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
915	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
916	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
917	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
918	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
919	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
920	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
921	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
922	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
923	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
924	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
925	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
926	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
927	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
928	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
929	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
930	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
931	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
932	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
933	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
934	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
935	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
936	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
937	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
938	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
939	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
940	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
941	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
942	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
943	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
944	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
945	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
946	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
947	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
948	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
949	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
950	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
951	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
952	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
953	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
954	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
955	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
956	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
957	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
958	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
959	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
960	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
961	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
962	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
963	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
964	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
965	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
966	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
967	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
968	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
969	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
970	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
971	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
972	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
973	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
974	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
975	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
976	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
977	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
978	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
979	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
980	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
981	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
982	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
983	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
984	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
985	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
986	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
987	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
988	C₄²×C₅₃	C₂⁴	1	2	yes	—
989	C₄²×C₅₃	C₂⁴	1	2	yes	—
990	C₄²×C₅₃	C₂⁴	1	2	yes	—
991	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
992	C₄²×C₅₃	C₂⁴	1	2	yes	—
993	C₄²×C₅₃	C₂⁴	1	4	yes	—
994	C₄²×C₅₃	C₂⁴	1	2	yes	—
995	C₄²×C₅₃	C₂⁴	1	2	yes	—
996	C₄²×C₅₃	C₂⁴	1	2	yes	—
997	C₄²×C₅₃	C₂⁴	1	4	yes	—
998	C₄²×C₅₃	C₂⁴	1	2	yes	—
999	C₄²×C₅₃	C₂⁴	1	4	yes	—
1000	C₄²×C₅₃	C₂⁴	1	4	yes	—
1001	C₂³×C₅₃	—	2	4	no	—
1002	C₂³×C₅₃	—	2	8	no	—
1003	C₂³×C₅₃	—	2	8	no	—
1004	C₂³×C₅₃	—	2	4	no	—
1005	C₂³×C₅₃	—	4	1	no	—
1006	C₂³×C₅₃	—	4	2	no	—
1007	C₂³×C₅₃	—	4	1	no	—
1008	C₂³×C₅₃	—	4	4	no	—
1009	C₂³×C₅₃	—	4	2	no	—
1010	C₂³×C₅₃	—	4	4	no	—
1011	C₂³×C₅₃	—	4	4	no	—
1012	C₂³×C₅₃	—	4	4	no	—
1013	C₂³×C₅₃	—	4	2	no	—
1014	C₂³×C₅₃	—	4	4	no	—
1015	C₂³×C₅₃	—	4	4	no	—
1016	C₂³×C₅₃	—	4	4	no	—
1017	C₂³×C₅₃	—	4	4	no	—
1018	C₂³×C₅₃	—	4	4	no	—
1019	C₂³×C₅₃	—	4	4	no	—
1020	C₂³×C₅₃	—	4	4	no	—
1021	C₂³×C₅₃	—	4	2	no	—
1022	C₂³×C₅₃	—	4	2	no	—
1023	C₂³×C₅₃	—	4	4	no	—
1024	C₂³×C₅₃	—	4	4	no	—
1025	C₂³×C₅₃	—	4	4	no	—
1026	C₂³×C₅₃	—	4	4	no	—
1027	C₂³×C₅₃	—	8	16	no	—
1028	C₂³×C₅₃	C₂⁵	1	2	yes	—
1029	C₂³×C₅₃	C₂⁵	1	2	yes	—
1030	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1031	C₂³×C₅₃	C₂⁵	1	2	yes	—
1032	C₂³×C₅₃	C₂⁵	1	4	yes	—
1033	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1034	C₂³×C₅₃	C₂⁵	1	2	yes	—
1035	C₂³×C₅₃	C₂⁵	1	4	yes	—
1036	C₂³×C₅₃	C₂⁵	1	2	yes	—
1037	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1038	C₂³×C₅₃	C₂⁵	1	2	yes	—
1039	Q₈×C₅₃	—	2	4	no	—
1040	Q₈×C₅₃	—	2	2	no	—
1041	Q₈×C₅₃	—	4	2	no	—
1042	Q₈×C₅₃	—	4	2	no	—
1043	Q₈×C₅₃	—	4	1	no	—
1044	Q₈×C₅₃	—	4	1	no	—
1045	Q₈×C₅₃	—	4	2	no	—
1046	Q₈×C₅₃	—	4	4	no	—
1047	D₄×C₅₃	—	2	4	no	—
1048	D₄×C₅₃	—	2	8	no	—
1049	D₄×C₅₃	—	2	8	no	—
1050	D₄×C₅₃	—	2	4	no	—
1051	D₄×C₅₃	—	2	4	no	—
1052	D₄×C₅₃	—	2	8	no	—
1053	D₄×C₅₃	—	2	4	no	—
1054	D₄×C₅₃	—	2	2	no	—
1055	D₄×C₅₃	—	2	4	no	—
1056	D₄×C₅₃	—	2	2	no	—
1057	D₄×C₅₃	—	4	4	no	—
1058	D₄×C₅₃	—	4	2	no	—
1059	D₄×C₅₃	—	4	2	no	—
1060	D₄×C₅₃	—	4	4	no	—
1061	D₄×C₅₃	—	4	1	no	—
1062	D₄×C₅₃	—	4	1	no	—
1063	D₄×C₅₃	—	4	2	no	—
1064	D₄×C₅₃	—	4	2	no	—
1065	D₄×C₅₃	—	4	1	no	—
1066	D₄×C₅₃	—	4	2	no	—
1067	D₄×C₅₃	—	4	2	no	—
1068	D₄×C₅₃	—	4	2	no	—
1069	D₄×C₅₃	—	4	1	no	—
1070	D₄×C₅₃	—	4	2	no	—
1071	D₄×C₅₃	—	4	2	no	—
1072	D₄×C₅₃	—	4	4	no	—
1073	D₄×C₅₃	—	4	4	no	—
1074	D₄×C₅₃	—	4	4	no	—
1075	D₄×C₅₃	—	4	4	no	—
1076	D₄×C₅₃	—	4	2	no	—
1077	D₄×C₅₃	—	4	4	no	—
1078	D₄×C₅₃	—	4	4	no	—
1079	D₄×C₅₃	—	4	4	no	—
1080	D₄×C₅₃	—	4	4	no	—
1081	D₄×C₅₃	—	4	2	no	—
1082	D₄×C₅₃	—	4	4	no	—
1083	D₄×C₅₃	—	4	2	no	—
1084	D₄×C₅₃	—	4	4	no	—
1085	D₄×C₅₃	—	4	2	no	—
1086	D₄×C₅₃	—	4	2	no	—
1087	D₄×C₅₃	—	4	4	no	—
1088	D₄×C₅₃	—	4	2	no	—
1089	D₄×C₅₃	—	4	4	no	—
1090	D₄×C₅₃	—	4	4	no	—
1091	D₄×C₅₃	—	4	2	no	—
1092	D₄×C₅₃	—	4	4	no	—
1093	D₄×C₅₃	—	4	4	no	—
1094	D₄×C₅₃	—	4	4	no	—
1095	D₄×C₅₃	—	4	2	no	—
1096	D₄×C₅₃	—	4	4	no	—
1097	D₄×C₅₃	—	4	4	no	—
1098	D₄×C₅₃	—	4	4	no	—
1099	D₄×C₅₃	—	4	4	no	—
1100	D₄×C₅₃	—	4	4	no	—
1101	D₄×C₅₃	—	4	4	no	—
1102	D₄×C₅₃	—	4	4	no	—
1103	D₄×C₅₃	—	4	4	no	—
1104	D₄×C₅₃	—	4	2	no	—
1105	D₄×C₅₃	H(5,𝔽₂)	1	4	yes	—
1106	C₂×C₄×C₅₃	—	2	8	no	—
1107	C₂×C₄×C₅₃	—	2	4	no	—
1108	C₂×C₄×C₅₃	—	2	4	no	—
1109	C₂×C₄×C₅₃	—	2	2	no	—
1110	C₂×C₄×C₅₃	—	2	2	no	—
1111	C₂×C₄×C₅₃	—	2	4	no	—
1112	C₂×C₄×C₅₃	—	2	4	no	—
1113	C₂×C₄×C₅₃	—	2	2	no	—
1114	C₂×C₄×C₅₃	—	4	1	no	—
1115	C₂×C₄×C₅₃	—	4	2	no	—
1116	C₂×C₄×C₅₃	—	4	1	no	—
1117	C₂×C₄×C₅₃	—	4	2	no	—
1118	C₂×C₄×C₅₃	—	4	2	no	—
1119	C₂×C₄×C₅₃	—	4	4	no	—
1120	C₂×C₄×C₅₃	—	4	2	no	—
1121	C₂×C₄×C₅₃	—	4	4	no	—
1122	C₂×C₄×C₅₃	—	4	4	no	—
1123	C₂×C₄×C₅₃	—	4	4	no	—
1124	C₂×C₄×C₅₃	—	4	4	no	—
1125	C₂×C₄×C₅₃	—	4	4	no	—
1126	C₂×C₄×C₅₃	—	4	2	no	—
1127	C₂×C₄×C₅₃	—	4	4	no	—
1128	C₂×C₄×C₅₃	—	4	4	no	—
1129	C₂×C₄×C₅₃	—	4	4	no	—
1130	C₂×C₄×C₅₃	—	4	2	no	—
1131	C₂×C₄×C₅₃	—	4	4	no	—
1132	C₂×C₄×C₅₃	—	4	2	no	—
1133	C₂×C₄×C₅₃	—	4	4	no	—
1134	C₂×C₄×C₅₃	—	4	4	no	—
1135	C₂×C₄×C₅₃	—	4	4	no	—
1136	C₂×C₄×C₅₃	—	4	4	no	—
1137	C₂×C₄×C₅₃	—	4	4	no	—
1138	C₂×C₄×C₅₃	—	4	2	no	—
1139	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1140	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1141	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1142	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1143	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1144	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1145	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1146	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1147	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1148	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1149	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1150	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1151	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1152	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1153	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1154	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1155	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1156	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1157	#63041	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
1158	C₂²×C₅₃	—	2	4	no	—
1159	C₂²×C₅₃	—	2	1	no	—
1160	C₂²×C₅₃	—	2	2	no	—
1161	C₂²×C₅₃	—	2	2	no	—
1162	C₂²×C₅₃	—	2	1	no	—
1163	C₂²×C₅₃	—	2	1	no	—
1164	C₂²×C₅₃	—	2	2	no	—
1165	C₂²×C₅₃	—	2	2	no	—
1166	C₂²×C₅₃	—	2	4	no	—
1167	C₂²×C₅₃	—	2	4	no	—
1168	C₂²×C₅₃	—	2	2	no	—
1169	C₂²×C₅₃	—	2	2	no	—
1170	C₂²×C₅₃	—	2	4	no	—
1171	C₂²×C₅₃	—	2	2	no	—
1172	C₂²×C₅₃	—	2	2	no	—
1173	C₂²×C₅₃	—	2	4	no	—
1174	C₂²×C₅₃	—	2	4	no	—
1175	C₂²×C₅₃	—	2	4	no	—
1176	C₂²×C₅₃	—	2	4	no	—
1177	C₂²×C₅₃	—	2	2	no	—
1178	C₂²×C₅₃	—	2	2	no	—
1179	C₂²×C₅₃	—	2	2	no	—
1180	C₂²×C₅₃	—	2	4	no	—
1181	C₂²×C₅₃	—	2	2	no	—
1182	C₂²×C₅₃	—	2	2	no	—
1183	C₂²×C₅₃	—	2	2	no	—
1184	C₂²×C₅₃	—	4	4	no	—
1185	C₂²×C₅₃	—	8	8	no	—
1186	C₂²×C₅₃	—	8	4	no	—
1187	C₂²×C₅₃	—	8	4	no	—
1188	C₂²×C₅₃	—	8	8	no	—
1189	C₂²×C₅₃	—	8	2	no	—
1190	C₂²×C₅₃	—	8	8	no	—
1191	C₂²×C₅₃	—	8	4	no	—
1192	C₂²×C₅₃	—	16	2	no	—
1193	C₂²×C₅₃	—	16	4	no	—
1194	C₂²×C₅₃	—	16	2	no	—
1195	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1196	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1197	C₄×C₅₃	—	2	2	no	—
1198	C₄×C₅₃	—	2	1	no	—
1199	C₄×C₅₃	—	2	1	no	—
1200	C₄×C₅₃	—	2	2	no	—
1201	C₄×C₅₃	—	2	2	no	—
1202	C₄×C₅₃	—	2	1	no	—
1203	C₄×C₅₃	—	2	2	no	—
1204	C₄×C₅₃	—	2	4	no	—
1205	C₄×C₅₃	—	2	2	no	—
1206	C₄×C₅₃	—	2	4	no	—
1207	C₄×C₅₃	—	2	2	no	—
1208	C₄×C₅₃	—	2	4	no	—
1209	C₄×C₅₃	—	2	2	no	—
1210	C₄×C₅₃	—	2	2	no	—
1211	C₄×C₅₃	—	2	4	no	—
1212	C₄×C₅₃	—	2	2	no	—
1213	C₄×C₅₃	—	2	2	no	—
1214	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1215	#3562	C₂×C₅₃	1	2	yes	complemented
1216	#3560	C₂×C₅₃	1	4	yes	complemented
1217	#3551	C₂×C₅₃	1	1	yes	characteristic, complemented
1218	#3546	C₂×C₅₃	1	2	yes	complemented
1219	#3546	C₂×C₅₃	1	2	yes	complemented
1220	#3543	C₂×C₅₃	1	2	yes	complemented
1221	#3543	C₂×C₅₃	1	2	yes	complemented
1222	#3542	C₂×C₅₃	1	4	yes	complemented
1223	#3542	C₂×C₅₃	1	2	yes	complemented
1224	#3540	C₂×C₅₃	1	1	yes	characteristic, complemented
1225	#3539	C₂×C₅₃	1	2	yes	complemented
1226	#3537	C₂×C₅₃	1	4	yes	complemented
1227	#3537	C₂×C₅₃	1	1	yes	characteristic, complemented
1228	#3534	C₂×C₅₃	1	4	yes	complemented
1229	#3534	C₂×C₅₃	1	4	yes	complemented
1230	#3533	C₂×C₅₃	1	2	yes	complemented
1231	#3532	C₂×C₅₃	1	2	yes	complemented
1232	#3532	C₂×C₅₃	1	4	yes	complemented
1233	#3529	C₂×C₅₃	1	1	yes	characteristic, complemented
1234	C₂×#560	C₂×C₅₃	1	2	yes	complemented
1235	#3521	C₂×C₅₃	1	2	yes	complemented
1236	#3519	C₂×C₅₃	1	2	yes	complemented
1237	#3513	C₂×C₅₃	1	2	yes	complemented
1238	#3498	C₂×C₅₃	1	1	yes	characteristic, complemented
1239	#3496	C₂×C₅₃	1	2	yes	complemented
1240	#3488	C₂×C₅₃	1	2	yes	complemented
1241	#3485	C₂×C₅₃	1	1	yes	characteristic, complemented
1242	#3484	C₂×C₅₃	1	1	yes	characteristic, complemented
1243	#3484	C₂×C₅₃	1	2	yes	complemented
1244	C₂×C₅₃	—	2	4	no	—
1245	C₂×C₅₃	—	4	2	no	—
1246	C₂×C₅₃	—	4	1	no	—
1247	C₂×C₅₃	—	4	2	no	—
1248	C₂×C₅₃	—	4	1	no	—
1249	C₂×C₅₃	—	4	2	no	—
1250	C₂×C₅₃	—	4	4	no	—
1251	C₂×C₅₃	—	4	2	no	—
1252	C₂×C₅₃	—	4	2	no	—
1253	C₂×C₅₃	—	4	4	no	—
1254	C₂×C₅₃	—	4	1	no	—
1255	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1256	C₂×C₅₃	H(7,𝔽₂)	1	2	yes	—
1257	C₂×H(5,𝔽₂)	C₂²×C₅₃	1	1	yes	characteristic, complemented
1258	C₂×H(5,𝔽₂)	C₂²×C₅₃	1	2	yes	complemented
1259	C₂×H(5,𝔽₂)	C₂²×C₅₃	1	1	yes	characteristic, complemented
1260	C₂²×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1261	C₂³×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1262	#563	C₂²×C₅₃	1	1	yes	characteristic, complemented
1263	#563	C₂²×C₅₃	1	2	yes	complemented
1264	#563	C₂²×C₅₃	1	2	yes	complemented
1265	#562	C₂²×C₅₃	1	2	yes	complemented
1266	#562	C₂²×C₅₃	1	2	yes	complemented
1267	#562	C₂²×C₅₃	1	2	yes	complemented
1268	#562	C₂²×C₅₃	1	4	yes	complemented
1269	#562	C₂²×C₅₃	1	4	yes	complemented
1270	H(3,𝔽₄)	C₂²×C₅₃	1	1	yes	characteristic, complemented
1271	H(3,𝔽₄)	C₂²×C₅₃	1	2	yes	complemented
1272	#560	C₂²×C₅₃	1	1	yes	characteristic, complemented
1273	#560	C₂²×C₅₃	1	4	yes	complemented
1274	#560	C₂²×C₅₃	1	2	yes	complemented
1275	#560	C₂²×C₅₃	1	2	yes	complemented
1276	#560	C₂²×C₅₃	1	4	yes	complemented
1277	#560	C₂²×C₅₃	1	4	yes	complemented
1278	#560	C₂²×C₅₃	1	4	yes	complemented
1279	#560	C₂²×C₅₃	1	4	yes	complemented
1280	#560	C₂²×C₅₃	1	4	yes	complemented
1281	#560	C₂²×C₅₃	1	2	yes	complemented
1282	#560	C₂²×C₅₃	1	4	yes	complemented
1283	#560	C₂²×C₅₃	1	2	yes	complemented
1284	#560	C₂²×C₅₃	1	2	yes	complemented
1285	#560	C₂²×C₅₃	1	1	yes	characteristic, complemented
1286	#560	C₂²×C₅₃	1	4	yes	complemented
1287	#560	C₂²×C₅₃	1	4	yes	complemented
1288	#560	C₂²×C₅₃	1	4	yes	complemented
1289	#560	C₂²×C₅₃	1	2	yes	complemented
1290	#559	C₂²×C₅₃	1	2	yes	complemented
1291	#559	C₂²×C₅₃	1	2	yes	complemented
1292	#556	C₂²×C₅₃	1	2	yes	complemented
1293	#556	C₂²×C₅₃	1	2	yes	complemented
1294	#555	C₂²×C₅₃	1	2	yes	complemented
1295	#555	C₂²×C₅₃	1	2	yes	complemented
1296	#554	C₂²×C₅₃	1	2	yes	complemented
1297	#553	C₂²×C₅₃	1	2	yes	complemented
1298	#553	C₂²×C₅₃	1	2	yes	complemented
1299	#553	C₂²×C₅₃	1	4	yes	complemented
1300	#553	C₂²×C₅₃	1	4	yes	complemented
1301	#553	C₂²×C₅₃	1	4	yes	complemented
1302	#553	C₂²×C₅₃	1	4	yes	complemented
1303	#553	C₂²×C₅₃	1	2	yes	complemented
1304	#553	C₂²×C₅₃	1	4	yes	complemented
1305	#553	C₂²×C₅₃	1	2	yes	complemented
1306	#553	C₂²×C₅₃	1	4	yes	complemented
1307	#553	C₂²×C₅₃	1	4	yes	complemented
1308	#552	C₂²×C₅₃	1	2	yes	complemented
1309	#552	C₂²×C₅₃	1	2	yes	complemented
1310	#552	C₂²×C₅₃	1	4	yes	complemented
1311	#551	C₂²×C₅₃	1	4	yes	complemented
1312	#551	C₂²×C₅₃	1	4	yes	complemented
1313	#551	C₂²×C₅₃	1	4	yes	complemented
1314	#551	C₂²×C₅₃	1	2	yes	complemented
1315	#551	C₂²×C₅₃	1	4	yes	complemented
1316	#551	C₂²×C₅₃	1	2	yes	complemented
1317	#551	C₂²×C₅₃	1	4	yes	complemented
1318	#551	C₂²×C₅₃	1	4	yes	complemented
1319	#550	C₂²×C₅₃	1	2	yes	complemented
1320	#550	C₂²×C₅₃	1	2	yes	complemented
1321	#550	C₂²×C₅₃	1	2	yes	complemented
1322	#550	C₂²×C₅₃	1	4	yes	complemented
1323	#550	C₂²×C₅₃	1	2	yes	complemented
1324	#550	C₂²×C₅₃	1	2	yes	complemented
1325	#548	C₂²×C₅₃	1	2	yes	complemented
1326	#548	C₂²×C₅₃	1	2	yes	complemented
1327	#547	C₂²×C₅₃	1	2	yes	complemented
1328	#547	C₂²×C₅₃	1	2	yes	complemented
1329	#547	C₂²×C₅₃	1	2	yes	complemented
1330	#547	C₂²×C₅₃	1	2	yes	complemented
1331	#547	C₂²×C₅₃	1	4	yes	complemented
1332	#547	C₂²×C₅₃	1	4	yes	complemented
1333	#546	C₂²×C₅₃	1	2	yes	complemented
1334	#546	C₂²×C₅₃	1	2	yes	complemented
1335	#546	C₂²×C₅₃	1	2	yes	complemented
1336	#546	C₂²×C₅₃	1	4	yes	complemented
1337	#546	C₂²×C₅₃	1	4	yes	complemented
1338	#546	C₂²×C₅₃	1	4	yes	complemented
1339	#546	C₂²×C₅₃	1	2	yes	complemented
1340	#546	C₂²×C₅₃	1	2	yes	complemented
1341	#546	C₂²×C₅₃	1	2	yes	complemented
1342	#546	C₂²×C₅₃	1	4	yes	complemented
1343	#546	C₂²×C₅₃	1	4	yes	complemented
1344	#546	C₂²×C₅₃	1	4	yes	complemented
1345	#546	C₂²×C₅₃	1	4	yes	complemented
1346	#546	C₂²×C₅₃	1	4	yes	complemented
1347	#546	C₂²×C₅₃	1	4	yes	complemented
1348	#546	C₂²×C₅₃	1	4	yes	complemented
1349	#546	C₂²×C₅₃	1	4	yes	complemented
1350	#546	C₂²×C₅₃	1	4	yes	complemented
1351	#546	C₂²×C₅₃	1	2	yes	complemented
1352	#546	C₂²×C₅₃	1	4	yes	complemented
1353	#546	C₂²×C₅₃	1	2	yes	complemented
1354	#546	C₂²×C₅₃	1	4	yes	complemented
1355	#546	C₂²×C₅₃	1	4	yes	complemented
1356	#546	C₂²×C₅₃	1	4	yes	complemented
1357	#546	C₂²×C₅₃	1	2	yes	complemented
1358	#546	C₂²×C₅₃	1	2	yes	complemented
1359	D₄²	C₂²×C₅₃	1	2	yes	complemented
1360	D₄²	C₂²×C₅₃	1	2	yes	complemented
1361	D₄²	C₂²×C₅₃	1	2	yes	complemented
1362	D₄²	C₂²×C₅₃	1	4	yes	complemented
1363	D₄²	C₂²×C₅₃	1	4	yes	complemented
1364	D₄²	C₂²×C₅₃	1	4	yes	complemented
1365	D₄²	C₂²×C₅₃	1	2	yes	complemented
1366	D₄²	C₂²×C₅₃	1	2	yes	complemented
1367	D₄²	C₂²×C₅₃	1	2	yes	complemented
1368	D₄²	C₂²×C₅₃	1	2	yes	complemented
1369	D₄²	C₂²×C₅₃	1	4	yes	complemented
1370	D₄²	C₂²×C₅₃	1	4	yes	complemented
1371	D₄²	C₂²×C₅₃	1	4	yes	complemented
1372	D₄²	C₂²×C₅₃	1	4	yes	complemented
1373	D₄²	C₂²×C₅₃	1	2	yes	complemented
1374	D₄²	C₂²×C₅₃	1	2	yes	complemented
1375	D₄²	C₂²×C₅₃	1	4	yes	complemented
1376	D₄²	C₂²×C₅₃	1	4	yes	complemented
1377	D₄²	C₂²×C₅₃	1	2	yes	complemented
1378	#542	C₂²×C₅₃	1	2	yes	complemented
1379	#542	C₂²×C₅₃	1	4	yes	complemented
1380	#542	C₂²×C₅₃	1	2	yes	complemented
1381	#542	C₂²×C₅₃	1	4	yes	complemented
1382	#541	C₂²×C₅₃	1	2	yes	complemented
1383	#540	C₂²×C₅₃	1	2	yes	complemented
1384	#540	C₂²×C₅₃	1	4	yes	complemented
1385	#540	C₂²×C₅₃	1	4	yes	complemented
1386	#540	C₂²×C₅₃	1	2	yes	complemented
1387	#540	C₂²×C₅₃	1	2	yes	complemented
1388	#540	C₂²×C₅₃	1	4	yes	complemented
1389	#540	C₂²×C₅₃	1	4	yes	complemented
1390	#540	C₂²×C₅₃	1	4	yes	complemented
1391	#540	C₂²×C₅₃	1	4	yes	complemented
1392	#539	C₂²×C₅₃	1	4	yes	complemented
1393	#539	C₂²×C₅₃	1	4	yes	complemented
1394	#539	C₂²×C₅₃	1	4	yes	complemented
1395	#539	C₂²×C₅₃	1	4	yes	complemented
1396	#539	C₂²×C₅₃	1	4	yes	complemented
1397	#538	C₂²×C₅₃	1	4	yes	complemented
1398	#538	C₂²×C₅₃	1	4	yes	complemented
1399	#538	C₂²×C₅₃	1	4	yes	complemented
1400	#538	C₂²×C₅₃	1	4	yes	complemented
1401	#538	C₂²×C₅₃	1	4	yes	complemented
1402	#538	C₂²×C₅₃	1	4	yes	complemented
1403	#538	C₂²×C₅₃	1	4	yes	complemented
1404	#538	C₂²×C₅₃	1	4	yes	complemented
1405	#538	C₂²×C₅₃	1	4	yes	complemented
1406	#538	C₂²×C₅₃	1	4	yes	complemented
1407	#538	C₂²×C₅₃	1	4	yes	complemented
1408	#538	C₂²×C₅₃	1	4	yes	complemented
1409	#538	C₂²×C₅₃	1	4	yes	complemented
1410	#538	C₂²×C₅₃	1	4	yes	complemented
1411	#537	C₂²×C₅₃	1	2	yes	complemented
1412	#537	C₂²×C₅₃	1	2	yes	complemented
1413	#537	C₂²×C₅₃	1	4	yes	complemented
1414	#537	C₂²×C₅₃	1	4	yes	complemented
1415	#537	C₂²×C₅₃	1	2	yes	complemented
1416	#536	C₂²×C₅₃	1	1	yes	characteristic, complemented
1417	#536	C₂²×C₅₃	1	1	yes	characteristic, complemented
1418	#535	C₂²×C₅₃	1	1	yes	characteristic, complemented
1419	#535	C₂²×C₅₃	1	2	yes	complemented
1420	#535	C₂²×C₅₃	1	2	yes	complemented
1421	#535	C₂²×C₅₃	1	1	yes	characteristic, complemented
1422	#535	C₂²×C₅₃	1	4	yes	complemented
1423	#535	C₂²×C₅₃	1	2	yes	complemented
1424	#535	C₂²×C₅₃	1	4	yes	complemented
1425	#535	C₂²×C₅₃	1	4	yes	complemented
1426	#535	C₂²×C₅₃	1	4	yes	complemented
1427	#535	C₂²×C₅₃	1	1	yes	characteristic, complemented
1428	#535	C₂²×C₅₃	1	2	yes	complemented
1429	#535	C₂²×C₅₃	1	4	yes	complemented
1430	#535	C₂²×C₅₃	1	1	yes	characteristic, complemented
1431	#535	C₂²×C₅₃	1	2	yes	complemented
1432	#534	C₂²×C₅₃	1	2	yes	complemented
1433	#534	C₂²×C₅₃	1	2	yes	complemented
1434	#534	C₂²×C₅₃	1	4	yes	complemented
1435	#534	C₂²×C₅₃	1	4	yes	complemented
1436	#534	C₂²×C₅₃	1	2	yes	complemented
1437	#534	C₂²×C₅₃	1	4	yes	complemented
1438	#534	C₂²×C₅₃	1	4	yes	complemented
1439	#534	C₂²×C₅₃	1	4	yes	complemented
1440	#534	C₂²×C₅₃	1	4	yes	complemented
1441	#534	C₂²×C₅₃	1	4	yes	complemented
1442	#534	C₂²×C₅₃	1	4	yes	complemented
1443	#534	C₂²×C₅₃	1	2	yes	complemented
1444	#532	C₂²×C₅₃	1	2	yes	complemented
1445	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1446	#532	C₂²×C₅₃	1	2	yes	complemented
1447	#532	C₂²×C₅₃	1	2	yes	complemented
1448	#532	C₂²×C₅₃	1	2	yes	complemented
1449	C₂×#127	C₂²×C₅₃	1	2	yes	complemented
1450	C₂×#127	C₂²×C₅₃	1	1	yes	characteristic, complemented
1451	#529	C₂²×C₅₃	1	2	yes	complemented
1452	#529	C₂²×C₅₃	1	2	yes	complemented
1453	#529	C₂²×C₅₃	1	2	yes	complemented
1454	#529	C₂²×C₅₃	1	4	yes	complemented
1455	#529	C₂²×C₅₃	1	2	yes	complemented
1456	#529	C₂²×C₅₃	1	2	yes	complemented
1457	C₂×#126	C₂²×C₅₃	1	4	yes	complemented
1458	#525	C₂²×C₅₃	1	2	yes	complemented
1459	#525	C₂²×C₅₃	1	1	yes	characteristic, complemented
1460	#525	C₂²×C₅₃	1	1	yes	characteristic, complemented
1461	#525	C₂²×C₅₃	1	2	yes	complemented
1462	#525	C₂²×C₅₃	1	1	yes	characteristic, complemented
1463	#525	C₂²×C₅₃	1	2	yes	complemented
1464	#525	C₂²×C₅₃	1	4	yes	complemented
1465	#525	C₂²×C₅₃	1	4	yes	complemented
1466	#525	C₂²×C₅₃	1	4	yes	complemented
1467	#525	C₂²×C₅₃	1	1	yes	characteristic, complemented
1468	C₂×#123	C₂²×C₅₃	1	2	yes	complemented
1469	C₂×#123	C₂²×C₅₃	1	4	yes	complemented
1470	C₂×#123	C₂²×C₅₃	1	2	yes	complemented
1471	C₂×#121	C₂²×C₅₃	1	4	yes	complemented
1472	C₂×#121	C₂²×C₅₃	1	4	yes	complemented
1473	C₂×#121	C₂²×C₅₃	1	4	yes	complemented
1474	C₂×#121	C₂²×C₅₃	1	2	yes	complemented
1475	C₂×#121	C₂²×C₅₃	1	4	yes	complemented
1476	C₂×#120	C₂²×C₅₃	1	4	yes	complemented
1477	C₂×#120	C₂²×C₅₃	1	2	yes	complemented
1478	C₂×#120	C₂²×C₅₃	1	2	yes	complemented
1479	C₂×#120	C₂²×C₅₃	1	4	yes	complemented
1480	#520	C₂²×C₅₃	1	2	yes	complemented
1481	#518	C₂²×C₅₃	1	1	yes	characteristic, complemented
1482	#518	C₂²×C₅₃	1	2	yes	complemented
1483	#518	C₂²×C₅₃	1	1	yes	characteristic, complemented
1484	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1485	C₂×C₄×D₄	C₂²×C₅₃	1	2	yes	complemented
1486	C₅₃	#63041	1	1	yes	characteristic, direct product factor, Sylow
1487	C₂⁵	C₂³×C₅₃	1	2	yes	—
1488	H(5,𝔽₂)	—	4	4	no	—
1489	H(5,𝔽₂)	—	4	8	no	—
1490	H(5,𝔽₂)	—	4	4	no	—
1491	C₂×#41	—	4	4	no	—
1492	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1493	C₂×#41	C₂³×C₅₃	1	2	yes	—
1494	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1495	C₂×#41	C₂³×C₅₃	1	2	yes	—
1496	C₂×#41	C₂³×C₅₃	1	2	yes	—
1497	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1498	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1499	C₂×#41	C₂³×C₅₃	1	4	yes	—
1500	C₂×#41	C₂³×C₅₃	1	2	yes	—
1501	C₂×#41	C₂³×C₅₃	1	2	yes	—
1502	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic, complemented
1503	C₂×#41	C₂³×C₅₃	1	2	yes	complemented
1504	C₂×#41	C₂³×C₅₃	1	2	yes	complemented
1505	C₂×#41	C₂³×C₅₃	1	4	yes	complemented
1506	C₂×#41	C₂³×C₅₃	1	2	yes	complemented
1507	C₂×#41	C₂³×C₅₃	1	4	yes	complemented
1508	C₂×#41	C₂³×C₅₃	1	4	yes	complemented
1509	C₂×#41	C₂³×C₅₃	1	4	yes	complemented
1510	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic, complemented
1511	C₂²×D₄	—	4	4	no	—
1512	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1513	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1514	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1515	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1516	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1517	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1518	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1519	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1520	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1521	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1522	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1523	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1524	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1525	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1526	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1527	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1528	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1529	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1530	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1531	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1532	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1533	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1534	C₂²×D₄	C₂³×C₅₃	1	2	yes	complemented
1535	C₂²×D₄	C₂³×C₅₃	1	4	yes	complemented
1536	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic, complemented
1537	C₂²×D₄	C₂³×C₅₃	1	2	yes	complemented
1538	C₂²×D₄	C₂³×C₅₃	1	4	yes	complemented
1539	C₂²×D₄	C₂³×C₅₃	1	4	yes	complemented
1540	C₂²×D₄	C₂³×C₅₃	1	4	yes	complemented
1541	C₂²×D₄	C₂³×C₅₃	1	4	yes	complemented
1542	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1543	C₂³×C₄	C₂³×C₅₃	1	2	yes	complemented
1544	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic, complemented
1545	C₂³×C₄	C₂³×C₅₃	1	4	yes	complemented
1546	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic, complemented
1547	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1548	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1549	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1550	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1551	#127	C₂³×C₅₃	1	1	yes	characteristic
1552	#127	C₂³×C₅₃	1	2	yes	—
1553	#127	C₂³×C₅₃	1	2	yes	—
1554	#127	C₂³×C₅₃	1	4	yes	—
1555	#127	C₂³×C₅₃	1	2	yes	—
1556	#127	C₂³×C₅₃	1	2	yes	—
1557	#127	C₂³×C₅₃	1	2	yes	—
1558	#127	C₂³×C₅₃	1	4	yes	—
1559	#127	C₂³×C₅₃	1	4	yes	—
1560	#127	C₂³×C₅₃	1	2	yes	—
1561	#127	C₂³×C₅₃	1	2	yes	complemented
1562	#127	C₂³×C₅₃	1	2	yes	complemented
1563	#127	C₂³×C₅₃	1	2	yes	complemented
1564	#127	C₂³×C₅₃	1	2	yes	complemented
1565	#127	C₂³×C₅₃	1	4	yes	complemented
1566	#127	C₂³×C₅₃	1	4	yes	complemented
1567	#126	C₂³×C₅₃	1	2	yes	—
1568	#126	C₂³×C₅₃	1	4	yes	—
1569	#126	C₂³×C₅₃	1	4	yes	—
1570	#126	C₂³×C₅₃	1	4	yes	—
1571	#126	C₂³×C₅₃	1	2	yes	—
1572	#126	C₂³×C₅₃	1	2	yes	—
1573	#126	C₂³×C₅₃	1	4	yes	—
1574	#126	C₂³×C₅₃	1	4	yes	—
1575	#126	C₂³×C₅₃	1	4	yes	complemented
1576	#126	C₂³×C₅₃	1	4	yes	complemented
1577	#126	C₂³×C₅₃	1	4	yes	complemented
1578	#126	C₂³×C₅₃	1	4	yes	complemented
1579	#126	C₂³×C₅₃	1	2	yes	complemented
1580	#126	C₂³×C₅₃	1	4	yes	complemented
1581	#126	C₂³×C₅₃	1	2	yes	complemented
1582	#126	C₂³×C₅₃	1	2	yes	complemented
1583	#126	C₂³×C₅₃	1	4	yes	complemented
1584	#126	C₂³×C₅₃	1	4	yes	complemented
1585	#126	C₂³×C₅₃	1	4	yes	complemented
1586	#126	C₂³×C₅₃	1	4	yes	complemented
1587	#126	C₂³×C₅₃	1	4	yes	complemented
1588	#126	C₂³×C₅₃	1	4	yes	complemented
1589	#125	C₂³×C₅₃	1	4	yes	complemented
1590	#125	C₂³×C₅₃	1	2	yes	complemented
1591	#125	C₂³×C₅₃	1	2	yes	complemented
1592	#125	C₂³×C₅₃	1	2	yes	complemented
1593	#125	C₂³×C₅₃	1	2	yes	complemented
1594	#125	C₂³×C₅₃	1	2	yes	complemented
1595	#125	C₂³×C₅₃	1	4	yes	complemented
1596	#125	C₂³×C₅₃	1	4	yes	complemented
1597	#125	C₂³×C₅₃	1	4	yes	complemented
1598	#124	C₂³×C₅₃	1	2	yes	—
1599	#124	C₂³×C₅₃	1	2	yes	—
1600	#124	C₂³×C₅₃	1	2	yes	—
1601	#124	C₂³×C₅₃	1	2	yes	—
1602	#124	C₂³×C₅₃	1	2	yes	—
1603	#124	C₂³×C₅₃	1	1	yes	characteristic
1604	#124	C₂³×C₅₃	1	2	yes	—
1605	#124	C₂³×C₅₃	1	2	yes	—
1606	#124	C₂³×C₅₃	1	2	yes	—
1607	#124	C₂³×C₅₃	1	4	yes	—
1608	#124	C₂³×C₅₃	1	4	yes	—
1609	#124	C₂³×C₅₃	1	4	yes	—
1610	#124	C₂³×C₅₃	1	4	yes	—
1611	#124	C₂³×C₅₃	1	2	yes	—
1612	#124	C₂³×C₅₃	1	4	yes	—
1613	#124	C₂³×C₅₃	1	4	yes	complemented
1614	#124	C₂³×C₅₃	1	2	yes	complemented
1615	#124	C₂³×C₅₃	1	2	yes	complemented
1616	#124	C₂³×C₅₃	1	1	yes	characteristic, complemented
1617	#124	C₂³×C₅₃	1	4	yes	complemented
1618	#124	C₂³×C₅₃	1	2	yes	complemented
1619	#124	C₂³×C₅₃	1	2	yes	complemented
1620	#124	C₂³×C₅₃	1	4	yes	complemented
1621	#124	C₂³×C₅₃	1	4	yes	complemented
1622	#124	C₂³×C₅₃	1	4	yes	complemented
1623	#123	C₂³×C₅₃	1	1	yes	characteristic
1624	#123	C₂³×C₅₃	1	2	yes	—
1625	#123	C₂³×C₅₃	1	2	yes	—
1626	#123	C₂³×C₅₃	1	4	yes	—
1627	#123	C₂³×C₅₃	1	4	yes	—
1628	#123	C₂³×C₅₃	1	4	yes	—
1629	#123	C₂³×C₅₃	1	4	yes	—
1630	#123	C₂³×C₅₃	1	4	yes	—
1631	#123	C₂³×C₅₃	1	4	yes	—
1632	#123	C₂³×C₅₃	1	2	yes	—
1633	#123	C₂³×C₅₃	1	1	yes	characteristic
1634	#123	C₂³×C₅₃	1	2	yes	—
1635	#123	C₂³×C₅₃	1	2	yes	—
1636	#123	C₂³×C₅₃	1	1	yes	characteristic
1637	#123	C₂³×C₅₃	1	4	yes	—
1638	#123	C₂³×C₅₃	1	2	yes	—
1639	#123	C₂³×C₅₃	1	4	yes	—
1640	#123	C₂³×C₅₃	1	2	yes	—
1641	#123	C₂³×C₅₃	1	2	yes	—
1642	#123	C₂³×C₅₃	1	4	yes	—
1643	#123	C₂³×C₅₃	1	4	yes	—
1644	#123	C₂³×C₅₃	1	4	yes	—
1645	#123	C₂³×C₅₃	1	4	yes	—
1646	#123	C₂³×C₅₃	1	4	yes	—
1647	#123	C₂³×C₅₃	1	4	yes	—
1648	#123	C₂³×C₅₃	1	2	yes	complemented
1649	#123	C₂³×C₅₃	1	1	yes	characteristic, complemented
1650	#123	C₂³×C₅₃	1	4	yes	complemented
1651	#123	C₂³×C₅₃	1	2	yes	complemented
1652	#123	C₂³×C₅₃	1	2	yes	complemented
1653	#123	C₂³×C₅₃	1	2	yes	complemented
1654	#123	C₂³×C₅₃	1	4	yes	complemented
1655	#123	C₂³×C₅₃	1	4	yes	complemented
1656	#123	C₂³×C₅₃	1	4	yes	complemented
1657	#123	C₂³×C₅₃	1	4	yes	complemented
1658	#123	C₂³×C₅₃	1	4	yes	complemented
1659	#123	C₂³×C₅₃	1	2	yes	complemented
1660	#123	C₂³×C₅₃	1	4	yes	complemented
1661	#123	C₂³×C₅₃	1	4	yes	complemented
1662	#123	C₂³×C₅₃	1	4	yes	complemented
1663	#123	C₂³×C₅₃	1	2	yes	complemented
1664	#123	C₂³×C₅₃	1	4	yes	complemented
1665	#123	C₂³×C₅₃	1	4	yes	complemented
1666	#123	C₂³×C₅₃	1	2	yes	complemented
1667	#123	C₂³×C₅₃	1	2	yes	complemented
1668	#123	C₂³×C₅₃	1	4	yes	complemented
1669	#123	C₂³×C₅₃	1	4	yes	complemented
1670	#123	C₂³×C₅₃	1	4	yes	complemented
1671	#123	C₂³×C₅₃	1	4	yes	complemented
1672	#123	C₂³×C₅₃	1	4	yes	complemented
1673	#123	C₂³×C₅₃	1	4	yes	complemented
1674	#123	C₂³×C₅₃	1	4	yes	complemented
1675	#123	C₂³×C₅₃	1	4	yes	complemented
1676	#123	C₂³×C₅₃	1	4	yes	complemented
1677	#123	C₂³×C₅₃	1	4	yes	complemented
1678	#123	C₂³×C₅₃	1	4	yes	complemented
1679	#123	C₂³×C₅₃	1	4	yes	complemented
1680	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1681	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1682	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1683	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1684	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1685	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1686	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1687	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1688	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1689	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1690	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1691	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1692	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1693	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1694	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1695	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1696	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1697	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1698	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1699	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	complemented
1700	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1701	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1702	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1703	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1704	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1705	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1706	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1707	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	complemented
1708	#121	C₂³×C₅₃	1	2	yes	—
1709	#121	C₂³×C₅₃	1	2	yes	—
1710	#121	C₂³×C₅₃	1	2	yes	—
1711	#121	C₂³×C₅₃	1	4	yes	—
1712	#121	C₂³×C₅₃	1	4	yes	—
1713	#121	C₂³×C₅₃	1	4	yes	—
1714	#121	C₂³×C₅₃	1	4	yes	—
1715	#121	C₂³×C₅₃	1	4	yes	—
1716	#121	C₂³×C₅₃	1	4	yes	—
1717	#121	C₂³×C₅₃	1	2	yes	—
1718	#121	C₂³×C₅₃	1	4	yes	—
1719	#121	C₂³×C₅₃	1	2	yes	—
1720	#121	C₂³×C₅₃	1	4	yes	—
1721	#121	C₂³×C₅₃	1	4	yes	—
1722	#121	C₂³×C₅₃	1	4	yes	—
1723	#121	C₂³×C₅₃	1	4	yes	—
1724	#121	C₂³×C₅₃	1	4	yes	—
1725	#121	C₂³×C₅₃	1	2	yes	—
1726	#121	C₂³×C₅₃	1	4	yes	—
1727	#121	C₂³×C₅₃	1	2	yes	—
1728	#121	C₂³×C₅₃	1	2	yes	—
1729	#121	C₂³×C₅₃	1	2	yes	—
1730	#121	C₂³×C₅₃	1	2	yes	—
1731	#121	C₂³×C₅₃	1	2	yes	—
1732	#121	C₂³×C₅₃	1	2	yes	—
1733	#121	C₂³×C₅₃	1	2	yes	—
1734	#121	C₂³×C₅₃	1	2	yes	—
1735	#121	C₂³×C₅₃	1	4	yes	—
1736	#121	C₂³×C₅₃	1	2	yes	—
1737	#121	C₂³×C₅₃	1	2	yes	—
1738	#121	C₂³×C₅₃	1	2	yes	—
1739	#121	C₂³×C₅₃	1	2	yes	—
1740	#121	C₂³×C₅₃	1	2	yes	—
1741	#121	C₂³×C₅₃	1	4	yes	—
1742	#121	C₂³×C₅₃	1	2	yes	—
1743	#121	C₂³×C₅₃	1	2	yes	—
1744	#121	C₂³×C₅₃	1	4	yes	—
1745	#121	C₂³×C₅₃	1	4	yes	—
1746	#121	C₂³×C₅₃	1	4	yes	—
1747	#121	C₂³×C₅₃	1	4	yes	—
1748	#121	C₂³×C₅₃	1	4	yes	—
1749	#121	C₂³×C₅₃	1	4	yes	—
1750	#121	C₂³×C₅₃	1	4	yes	—
1751	#121	C₂³×C₅₃	1	4	yes	—
1752	#121	C₂³×C₅₃	1	4	yes	—
1753	#121	C₂³×C₅₃	1	4	yes	—
1754	#121	C₂³×C₅₃	1	4	yes	—
1755	#121	C₂³×C₅₃	1	4	yes	—
1756	#121	C₂³×C₅₃	1	4	yes	—
1757	#121	C₂³×C₅₃	1	4	yes	—
1758	#121	C₂³×C₅₃	1	4	yes	—
1759	#121	C₂³×C₅₃	1	4	yes	complemented
1760	#121	C₂³×C₅₃	1	4	yes	complemented
1761	#121	C₂³×C₅₃	1	2	yes	complemented
1762	#121	C₂³×C₅₃	1	4	yes	complemented
1763	#121	C₂³×C₅₃	1	4	yes	complemented
1764	#121	C₂³×C₅₃	1	4	yes	complemented
1765	#121	C₂³×C₅₃	1	4	yes	complemented
1766	#121	C₂³×C₅₃	1	4	yes	complemented
1767	#121	C₂³×C₅₃	1	4	yes	complemented
1768	#121	C₂³×C₅₃	1	4	yes	complemented
1769	#121	C₂³×C₅₃	1	4	yes	complemented
1770	#121	C₂³×C₅₃	1	2	yes	complemented
1771	#121	C₂³×C₅₃	1	4	yes	complemented
1772	#121	C₂³×C₅₃	1	4	yes	complemented
1773	#121	C₂³×C₅₃	1	4	yes	complemented
1774	#121	C₂³×C₅₃	1	2	yes	complemented
1775	#121	C₂³×C₅₃	1	4	yes	complemented
1776	#121	C₂³×C₅₃	1	4	yes	complemented
1777	#121	C₂³×C₅₃	1	4	yes	complemented
1778	#121	C₂³×C₅₃	1	4	yes	complemented
1779	#121	C₂³×C₅₃	1	4	yes	complemented
1780	#121	C₂³×C₅₃	1	4	yes	complemented
1781	#121	C₂³×C₅₃	1	4	yes	complemented
1782	#121	C₂³×C₅₃	1	2	yes	complemented
1783	#121	C₂³×C₅₃	1	2	yes	complemented
1784	#121	C₂³×C₅₃	1	4	yes	complemented
1785	#121	C₂³×C₅₃	1	2	yes	complemented
1786	#121	C₂³×C₅₃	1	4	yes	complemented
1787	#121	C₂³×C₅₃	1	4	yes	complemented
1788	#121	C₂³×C₅₃	1	4	yes	complemented
1789	#121	C₂³×C₅₃	1	4	yes	complemented
1790	#121	C₂³×C₅₃	1	4	yes	complemented
1791	#121	C₂³×C₅₃	1	4	yes	complemented
1792	#121	C₂³×C₅₃	1	4	yes	complemented
1793	#121	C₂³×C₅₃	1	4	yes	complemented
1794	#121	C₂³×C₅₃	1	4	yes	complemented
1795	#121	C₂³×C₅₃	1	4	yes	complemented
1796	#121	C₂³×C₅₃	1	4	yes	complemented
1797	#121	C₂³×C₅₃	1	4	yes	complemented
1798	#121	C₂³×C₅₃	1	4	yes	complemented
1799	#120	C₂³×C₅₃	1	2	yes	—
1800	#120	C₂³×C₅₃	1	2	yes	—
1801	#120	C₂³×C₅₃	1	4	yes	—
1802	#120	C₂³×C₅₃	1	2	yes	—
1803	#120	C₂³×C₅₃	1	1	yes	characteristic
1804	#120	C₂³×C₅₃	1	1	yes	characteristic
1805	#120	C₂³×C₅₃	1	2	yes	—
1806	#120	C₂³×C₅₃	1	4	yes	—
1807	#120	C₂³×C₅₃	1	4	yes	—
1808	#120	C₂³×C₅₃	1	2	yes	—
1809	#120	C₂³×C₅₃	1	4	yes	—
1810	#120	C₂³×C₅₃	1	2	yes	—
1811	#120	C₂³×C₅₃	1	4	yes	—
1812	#120	C₂³×C₅₃	1	2	yes	—
1813	#120	C₂³×C₅₃	1	4	yes	—
1814	#120	C₂³×C₅₃	1	4	yes	—
1815	#120	C₂³×C₅₃	1	4	yes	—
1816	#120	C₂³×C₅₃	1	4	yes	—
1817	#120	C₂³×C₅₃	1	4	yes	—
1818	#120	C₂³×C₅₃	1	4	yes	—
1819	#120	C₂³×C₅₃	1	4	yes	—
1820	#120	C₂³×C₅₃	1	4	yes	—
1821	#120	C₂³×C₅₃	1	4	yes	—
1822	#120	C₂³×C₅₃	1	4	yes	—
1823	#120	C₂³×C₅₃	1	4	yes	—
1824	#120	C₂³×C₅₃	1	4	yes	—
1825	#120	C₂³×C₅₃	1	4	yes	—
1826	#120	C₂³×C₅₃	1	1	yes	characteristic
1827	#120	C₂³×C₅₃	1	2	yes	—
1828	#120	C₂³×C₅₃	1	4	yes	—
1829	#120	C₂³×C₅₃	1	4	yes	—
1830	#120	C₂³×C₅₃	1	4	yes	—
1831	#120	C₂³×C₅₃	1	2	yes	—
1832	#120	C₂³×C₅₃	1	4	yes	—
1833	#120	C₂³×C₅₃	1	4	yes	—
1834	#120	C₂³×C₅₃	1	4	yes	—
1835	#120	C₂³×C₅₃	1	2	yes	complemented
1836	#120	C₂³×C₅₃	1	1	yes	characteristic, complemented
1837	#120	C₂³×C₅₃	1	4	yes	complemented
1838	#120	C₂³×C₅₃	1	4	yes	complemented
1839	#120	C₂³×C₅₃	1	2	yes	complemented
1840	#120	C₂³×C₅₃	1	4	yes	complemented
1841	#120	C₂³×C₅₃	1	4	yes	complemented
1842	#120	C₂³×C₅₃	1	4	yes	complemented
1843	#120	C₂³×C₅₃	1	4	yes	complemented
1844	#120	C₂³×C₅₃	1	4	yes	complemented
1845	#120	C₂³×C₅₃	1	4	yes	complemented
1846	#120	C₂³×C₅₃	1	4	yes	complemented
1847	#120	C₂³×C₅₃	1	4	yes	complemented
1848	#120	C₂³×C₅₃	1	2	yes	complemented
1849	C₄×Q₈	C₂³×C₅₃	1	2	yes	complemented
1850	C₄×Q₈	C₂³×C₅₃	1	2	yes	complemented
1851	C₄×Q₈	C₂³×C₅₃	1	2	yes	complemented
1852	C₄×Q₈	C₂³×C₅₃	1	2	yes	complemented
1853	C₄×Q₈	C₂³×C₅₃	1	4	yes	complemented
1854	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1855	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1856	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1857	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1858	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1859	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1860	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1861	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1862	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1863	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1864	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1865	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1866	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1867	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1868	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1869	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1870	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1871	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1872	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1873	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1874	C₄×D₄	C₂³×C₅₃	1	2	yes	complemented
1875	C₄×D₄	C₂³×C₅₃	1	2	yes	complemented
1876	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1877	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1878	C₄×D₄	C₂³×C₅₃	1	2	yes	complemented
1879	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1880	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1881	C₄×D₄	C₂³×C₅₃	1	2	yes	complemented
1882	C₄×D₄	C₂³×C₅₃	1	2	yes	complemented
1883	C₄×D₄	C₂³×C₅₃	1	2	yes	complemented
1884	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1885	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1886	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1887	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1888	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1889	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1890	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1891	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1892	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1893	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1894	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1895	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1896	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1897	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1898	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1899	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1900	C₄×D₄	C₂³×C₅₃	1	4	yes	complemented
1901	#117	C₂³×C₅₃	1	2	yes	—
1902	#117	C₂³×C₅₃	1	1	yes	characteristic
1903	#117	C₂³×C₅₃	1	1	yes	characteristic
1904	#117	C₂³×C₅₃	1	2	yes	—
1905	#117	C₂³×C₅₃	1	2	yes	complemented
1906	#117	C₂³×C₅₃	1	1	yes	characteristic, complemented
1907	#117	C₂³×C₅₃	1	1	yes	characteristic, complemented
1908	#117	C₂³×C₅₃	1	1	yes	characteristic, complemented
1909	#117	C₂³×C₅₃	1	2	yes	complemented
1910	#117	C₂³×C₅₃	1	4	yes	complemented
1911	#117	C₂³×C₅₃	1	4	yes	complemented
1912	#117	C₂³×C₅₃	1	4	yes	complemented
1913	#117	C₂³×C₅₃	1	4	yes	complemented
1914	#117	C₂³×C₅₃	1	4	yes	complemented
1915	#117	C₂³×C₅₃	1	4	yes	complemented
1916	#117	C₂³×C₅₃	1	4	yes	complemented
1917	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	complemented
1918	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1919	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	complemented
1920	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1921	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1922	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1923	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1924	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1925	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1926	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1927	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1928	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1929	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1930	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1931	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1932	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1933	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1934	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1935	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	complemented
1936	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	complemented
1937	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1938	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1939	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1940	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1941	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	complemented
1942	C₂×C₄²	C₂³×C₅₃	1	2	yes	complemented
1943	C₂×C₄²	C₂³×C₅₃	1	2	yes	complemented
1944	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic, complemented
1945	C₂⁴	—	4	4	no	—
1946	C₂⁴	—	8	4	no	—
1947	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1948	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1949	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1950	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1951	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1952	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1953	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1954	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1955	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1956	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1957	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1958	#41	—	2	8	no	—
1959	#41	—	2	4	no	—
1960	#41	—	4	2	no	—
1961	#41	—	4	4	no	—
1962	#41	—	4	2	no	—
1963	#41	—	4	8	no	—
1964	#41	—	4	8	no	—
1965	#41	—	4	4	no	—
1966	#41	—	4	4	no	—
1967	#41	—	4	4	no	—
1968	#41	—	4	4	no	—
1969	#41	—	4	2	no	—
1970	#41	—	4	2	no	—
1971	#41	—	4	4	no	—
1972	#41	—	4	4	no	—
1973	#41	—	8	4	no	—
1974	#41	—	8	4	no	—
1975	#41	—	8	4	no	—
1976	C₂×Q₈	—	4	2	no	—
1977	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1978	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1979	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1980	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1981	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1982	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1983	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1984	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1985	C₂×D₄	—	2	4	no	—
1986	C₂×D₄	—	2	8	no	—
1987	C₂×D₄	—	2	4	no	—
1988	C₂×D₄	—	2	8	no	—
1989	C₂×D₄	—	4	2	no	—
1990	C₂×D₄	—	4	4	no	—
1991	C₂×D₄	—	4	4	no	—
1992	C₂×D₄	—	4	2	no	—
1993	C₂×D₄	—	4	2	no	—
1994	C₂×D₄	—	4	8	no	—
1995	C₂×D₄	—	4	4	no	—
1996	C₂×D₄	—	4	4	no	—
1997	C₂×D₄	—	4	4	no	—
1998	C₂×D₄	—	4	8	no	—
1999	C₂×D₄	—	4	4	no	—
2000	C₂×D₄	—	4	8	no	—
2001	C₂×D₄	—	4	8	no	—
2002	C₂×D₄	—	4	4	no	—
2003	C₂×D₄	—	4	4	no	—
2004	C₂×D₄	—	4	8	no	—
2005	C₂×D₄	—	8	4	no	—
2006	C₂×D₄	—	8	4	no	—
2007	C₂×D₄	—	8	4	no	—
2008	C₂×D₄	—	8	4	no	—
2009	C₂×D₄	—	8	4	no	—
2010	C₂×D₄	—	8	4	no	—
2011	C₂×D₄	—	8	4	no	—
2012	C₂×D₄	—	8	4	no	—
2013	C₂×D₄	—	8	4	no	—
2014	C₂×D₄	—	8	4	no	—
2015	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2016	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2017	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
2018	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2019	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2020	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2021	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2022	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2023	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2024	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
2025	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2026	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2027	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2028	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2029	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2030	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2031	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2032	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2033	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2034	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2035	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2036	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2037	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2038	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2039	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2040	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2041	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2042	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2043	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2044	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2045	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2046	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2047	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2048	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2049	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2050	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2051	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2052	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2053	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2054	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
2055	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2056	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2057	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
2058	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2059	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2060	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2061	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2062	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2063	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2064	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2065	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2066	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2067	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
2068	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2069	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2070	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
2071	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
2072	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
2073	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
2074	C₂²×C₄	—	4	2	no	—
2075	C₂²×C₄	—	4	2	no	—
2076	C₂²×C₄	—	4	4	no	—
2077	C₂²×C₄	—	8	4	no	—
2078	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2079	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2080	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2081	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2082	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2083	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2084	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2085	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2086	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2087	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2088	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2089	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2090	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2091	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2092	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2093	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2094	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2095	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2096	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2097	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2098	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2099	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2100	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2101	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2102	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2103	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2104	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2105	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2106	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2107	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2108	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2109	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2110	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2111	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2112	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2113	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2114	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2115	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2116	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2117	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2118	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2119	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2120	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2121	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2122	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2123	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2124	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2125	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2126	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2127	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2128	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2129	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2130	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2131	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2132	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2133	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2134	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2135	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2136	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2137	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2138	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2139	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2140	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2141	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2142	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2143	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2144	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2145	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2146	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2147	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2148	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2149	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2150	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2151	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2152	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2153	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2154	C₂²⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2155	C₂²⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2156	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2157	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2158	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2159	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2160	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2161	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2162	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2163	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2164	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2165	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2166	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2167	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2168	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2169	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2170	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2171	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2172	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2173	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2174	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2175	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2176	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2177	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2178	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2179	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2180	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2181	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2182	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2183	C₂²⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2184	C₂²⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2185	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2186	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2187	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2188	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2189	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2190	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2191	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2192	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2193	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2194	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2195	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2196	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2197	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2198	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2199	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2200	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2201	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2202	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2203	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2204	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2205	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2206	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2207	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2208	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2209	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2210	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2211	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2212	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2213	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2214	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2215	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2216	C₄²	C₂⁴×C₅₃	1	2	yes	—
2217	C₄²	C₂⁴×C₅₃	1	2	yes	—
2218	C₄²	C₂⁴×C₅₃	1	2	yes	—
2219	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2220	C₄²	C₂⁴×C₅₃	1	2	yes	—
2221	C₄²	C₂⁴×C₅₃	1	4	yes	—
2222	C₄²	C₂⁴×C₅₃	1	2	yes	—
2223	C₄²	C₂⁴×C₅₃	1	2	yes	—
2224	C₄²	C₂⁴×C₅₃	1	2	yes	—
2225	C₄²	C₂⁴×C₅₃	1	4	yes	—
2226	C₄²	C₂⁴×C₅₃	1	2	yes	—
2227	C₄²	C₂⁴×C₅₃	1	4	yes	—
2228	C₄²	C₂⁴×C₅₃	1	4	yes	—
2229	C₂³	—	2	4	no	—
2230	C₂³	—	2	8	no	—
2231	C₂³	—	2	8	no	—
2232	C₂³	—	2	4	no	—
2233	C₂³	—	4	1	no	—
2234	C₂³	—	4	2	no	—
2235	C₂³	—	4	1	no	—
2236	C₂³	—	4	4	no	—
2237	C₂³	—	4	2	no	—
2238	C₂³	—	4	4	no	—
2239	C₂³	—	4	4	no	—
2240	C₂³	—	4	4	no	—
2241	C₂³	—	4	2	no	—
2242	C₂³	—	4	4	no	—
2243	C₂³	—	4	4	no	—
2244	C₂³	—	4	4	no	—
2245	C₂³	—	4	4	no	—
2246	C₂³	—	4	4	no	—
2247	C₂³	—	4	4	no	—
2248	C₂³	—	4	4	no	—
2249	C₂³	—	4	2	no	—
2250	C₂³	—	4	2	no	—
2251	C₂³	—	4	4	no	—
2252	C₂³	—	4	4	no	—
2253	C₂³	—	4	4	no	—
2254	C₂³	—	4	4	no	—
2255	C₂³	—	8	16	no	—
2256	C₂³	C₂⁵×C₅₃	1	2	yes	—
2257	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2258	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2259	C₂³	C₂⁵×C₅₃	1	4	yes	—
2260	C₂³	C₂⁵×C₅₃	1	2	yes	—
2261	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2262	C₂³	C₂⁵×C₅₃	1	2	yes	—
2263	C₂³	C₂⁵×C₅₃	1	4	yes	—
2264	C₂³	C₂⁵×C₅₃	1	2	yes	—
2265	C₂³	C₂⁵×C₅₃	1	2	yes	—
2266	C₂³	C₂⁵×C₅₃	1	2	yes	—
2267	Q₈	—	2	4	no	—
2268	Q₈	—	2	2	no	—
2269	Q₈	—	4	2	no	—
2270	Q₈	—	4	2	no	—
2271	Q₈	—	4	1	no	—
2272	Q₈	—	4	1	no	—
2273	Q₈	—	4	2	no	—
2274	Q₈	—	4	4	no	—
2275	D₄	—	2	4	no	—
2276	D₄	—	2	8	no	—
2277	D₄	—	2	8	no	—
2278	D₄	—	2	4	no	—
2279	D₄	—	2	4	no	—
2280	D₄	—	2	8	no	—
2281	D₄	—	2	4	no	—
2282	D₄	—	2	2	no	—
2283	D₄	—	2	4	no	—
2284	D₄	—	2	2	no	—
2285	D₄	—	4	4	no	—
2286	D₄	—	4	2	no	—
2287	D₄	—	4	2	no	—
2288	D₄	—	4	4	no	—
2289	D₄	—	4	1	no	—
2290	D₄	—	4	1	no	—
2291	D₄	—	4	2	no	—
2292	D₄	—	4	2	no	—
2293	D₄	—	4	1	no	—
2294	D₄	—	4	2	no	—
2295	D₄	—	4	2	no	—
2296	D₄	—	4	2	no	—
2297	D₄	—	4	1	no	—
2298	D₄	—	4	2	no	—
2299	D₄	—	4	2	no	—
2300	D₄	—	4	4	no	—
2301	D₄	—	4	4	no	—
2302	D₄	—	4	4	no	—
2303	D₄	—	4	4	no	—
2304	D₄	—	4	2	no	—
2305	D₄	—	4	4	no	—
2306	D₄	—	4	4	no	—
2307	D₄	—	4	4	no	—
2308	D₄	—	4	4	no	—
2309	D₄	—	4	2	no	—
2310	D₄	—	4	4	no	—
2311	D₄	—	4	2	no	—
2312	D₄	—	4	4	no	—
2313	D₄	—	4	2	no	—
2314	D₄	—	4	2	no	—
2315	D₄	—	4	4	no	—
2316	D₄	—	4	2	no	—
2317	D₄	—	4	4	no	—
2318	D₄	—	4	4	no	—
2319	D₄	—	4	2	no	—
2320	D₄	—	4	4	no	—
2321	D₄	—	4	4	no	—
2322	D₄	—	4	4	no	—
2323	D₄	—	4	2	no	—
2324	D₄	—	4	4	no	—
2325	D₄	—	4	4	no	—
2326	D₄	—	4	4	no	—
2327	D₄	—	4	4	no	—
2328	D₄	—	4	4	no	—
2329	D₄	—	4	4	no	—
2330	D₄	—	4	4	no	—
2331	D₄	—	4	4	no	—
2332	D₄	—	4	2	no	—
2333	D₄	H(5,𝔽₂)×C₅₃	1	4	yes	—
2334	C₂×C₄	—	2	8	no	—
2335	C₂×C₄	—	2	4	no	—
2336	C₂×C₄	—	2	4	no	—
2337	C₂×C₄	—	2	2	no	—
2338	C₂×C₄	—	2	2	no	—
2339	C₂×C₄	—	2	4	no	—
2340	C₂×C₄	—	2	4	no	—
2341	C₂×C₄	—	2	2	no	—
2342	C₂×C₄	—	4	1	no	—
2343	C₂×C₄	—	4	2	no	—
2344	C₂×C₄	—	4	1	no	—
2345	C₂×C₄	—	4	2	no	—
2346	C₂×C₄	—	4	2	no	—
2347	C₂×C₄	—	4	4	no	—
2348	C₂×C₄	—	4	2	no	—
2349	C₂×C₄	—	4	4	no	—
2350	C₂×C₄	—	4	4	no	—
2351	C₂×C₄	—	4	4	no	—
2352	C₂×C₄	—	4	4	no	—
2353	C₂×C₄	—	4	4	no	—
2354	C₂×C₄	—	4	2	no	—
2355	C₂×C₄	—	4	4	no	—
2356	C₂×C₄	—	4	4	no	—
2357	C₂×C₄	—	4	4	no	—
2358	C₂×C₄	—	4	2	no	—
2359	C₂×C₄	—	4	4	no	—
2360	C₂×C₄	—	4	2	no	—
2361	C₂×C₄	—	4	4	no	—
2362	C₂×C₄	—	4	4	no	—
2363	C₂×C₄	—	4	4	no	—
2364	C₂×C₄	—	4	4	no	—
2365	C₂×C₄	—	4	4	no	—
2366	C₂×C₄	—	4	2	no	—
2367	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2368	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2369	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2370	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2371	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2372	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2373	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2374	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2375	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2376	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2377	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2378	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2379	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2380	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2381	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2382	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2383	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2384	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2385	C₂²	—	2	4	no	—
2386	C₂²	—	2	1	no	—
2387	C₂²	—	2	2	no	—
2388	C₂²	—	2	2	no	—
2389	C₂²	—	2	1	no	—
2390	C₂²	—	2	1	no	—
2391	C₂²	—	2	2	no	—
2392	C₂²	—	2	2	no	—
2393	C₂²	—	2	4	no	—
2394	C₂²	—	2	4	no	—
2395	C₂²	—	2	2	no	—
2396	C₂²	—	2	2	no	—
2397	C₂²	—	2	4	no	—
2398	C₂²	—	2	2	no	—
2399	C₂²	—	2	2	no	—
2400	C₂²	—	2	4	no	—
2401	C₂²	—	2	4	no	—
2402	C₂²	—	2	4	no	—
2403	C₂²	—	2	4	no	—
2404	C₂²	—	2	2	no	—
2405	C₂²	—	2	2	no	—
2406	C₂²	—	2	2	no	—
2407	C₂²	—	2	4	no	—
2408	C₂²	—	2	2	no	—
2409	C₂²	—	2	2	no	—
2410	C₂²	—	2	2	no	—
2411	C₂²	—	4	4	no	—
2412	C₂²	—	8	8	no	—
2413	C₂²	—	8	4	no	—
2414	C₂²	—	8	4	no	—
2415	C₂²	—	8	8	no	—
2416	C₂²	—	8	4	no	—
2417	C₂²	—	8	8	no	—
2418	C₂²	—	8	2	no	—
2419	C₂²	—	16	4	no	—
2420	C₂²	—	16	2	no	—
2421	C₂²	—	16	2	no	—
2422	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	4	yes	—
2423	C₂²	C₂⁶×C₅₃	1	1	yes	characteristic
2424	C₄	—	2	2	no	—
2425	C₄	—	2	1	no	—
2426	C₄	—	2	1	no	—
2427	C₄	—	2	2	no	—
2428	C₄	—	2	2	no	—
2429	C₄	—	2	1	no	—
2430	C₄	—	2	2	no	—
2431	C₄	—	2	4	no	—
2432	C₄	—	2	2	no	—
2433	C₄	—	2	4	no	—
2434	C₄	—	2	2	no	—
2435	C₄	—	2	4	no	—
2436	C₄	—	2	2	no	—
2437	C₄	—	2	2	no	—
2438	C₄	—	2	4	no	—
2439	C₄	—	2	2	no	—
2440	C₄	—	2	2	no	—
2441	C₄	C₂×H(5,𝔽₂)×C₅₃	1	2	yes	—
2442	C₂	—	2	4	no	—
2443	C₂	—	4	2	no	—
2444	C₂	—	4	1	no	—
2445	C₂	—	4	4	no	—
2446	C₂	—	4	2	no	—
2447	C₂	—	4	1	no	—
2448	C₂	—	4	2	no	—
2449	C₂	—	4	2	no	—
2450	C₂	—	4	4	no	—
2451	C₂	—	4	2	no	—
2452	C₂	—	4	1	no	—
2453	C₂	C₂²×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
2454	C₂	C₅₃×H(7,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₅₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₅₃ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₅₃×#3562	C₂	semidirect
2. C₅₃×#3560	C₂	semidirect
3. C₅₃×#3551	C₂	semidirect
4. C₅₃×#3546	C₂	semidirect
5. C₅₃×#3546	C₂	semidirect
6. C₅₃×#3543	C₂	semidirect
7. C₅₃×#3543	C₂	semidirect
8. C₅₃×#3542	C₂	semidirect
9. C₅₃×#3542	C₂	semidirect
10. C₅₃×#3540	C₂	semidirect
11. C₅₃×#3539	C₂	semidirect
12. C₅₃×#3537	C₂	semidirect
13. C₅₃×#3537	C₂	semidirect
14. C₅₃×#3534	C₂	semidirect
15. C₅₃×#3534	C₂	semidirect
16. C₅₃×#3533	C₂	semidirect
17. C₅₃×#3532	C₂	semidirect
18. C₅₃×#3532	C₂	semidirect
19. C₅₃×#3529	C₂	semidirect
20. C₂×C₅₃×#560	C₂	semidirect
21. C₅₃×#3521	C₂	semidirect
22. C₅₃×#3519	C₂	semidirect
23. C₅₃×#3513	C₂	semidirect
24. C₅₃×#3498	C₂	semidirect
25. C₅₃×#3496	C₂	semidirect
26. C₅₃×#3488	C₂	semidirect
27. C₅₃×#3485	C₂	semidirect
28. C₅₃×#3484	C₂	semidirect
29. C₅₃×#3484	C₂	semidirect
30. C₂×H(5,𝔽₂)×C₅₃	C₂²	semidirect
31. C₂×H(5,𝔽₂)×C₅₃	C₂²	semidirect
32. C₂×H(5,𝔽₂)×C₅₃	C₂²	semidirect
33. C₂²×#41×C₅₃	C₂²	semidirect
34. C₂³×D₄×C₅₃	C₂²	semidirect
35. C₅₃×#563	C₂²	semidirect
36. C₅₃×#563	C₂²	semidirect
37. C₅₃×#563	C₂²	semidirect
38. C₅₃×#562	C₂²	semidirect
39. C₅₃×#562	C₂²	semidirect
40. C₅₃×#562	C₂²	semidirect
41. C₅₃×#562	C₂²	semidirect
42. C₅₃×#562	C₂²	semidirect
43. C₅₃×H(3,𝔽₄)	C₂²	semidirect
44. C₅₃×H(3,𝔽₄)	C₂²	semidirect
45. C₅₃×#560	C₂²	semidirect
46. C₅₃×#560	C₂²	semidirect
47. C₅₃×#560	C₂²	semidirect
48. C₅₃×#560	C₂²	semidirect
49. C₅₃×#560	C₂²	semidirect
50. C₅₃×#560	C₂²	semidirect
51. C₅₃×#560	C₂²	semidirect
52. C₅₃×#560	C₂²	semidirect
53. C₅₃×#560	C₂²	semidirect
54. C₅₃×#560	C₂²	semidirect
55. C₅₃×#560	C₂²	semidirect
56. C₅₃×#560	C₂²	semidirect
57. C₅₃×#560	C₂²	semidirect
58. C₅₃×#560	C₂²	semidirect
59. C₅₃×#560	C₂²	semidirect
60. C₅₃×#560	C₂²	semidirect
61. C₅₃×#560	C₂²	semidirect
62. C₅₃×#560	C₂²	semidirect
63. C₅₃×#559	C₂²	semidirect
64. C₅₃×#559	C₂²	semidirect
65. C₅₃×#556	C₂²	semidirect
66. C₅₃×#556	C₂²	semidirect
67. C₅₃×#555	C₂²	semidirect
68. C₅₃×#555	C₂²	semidirect
69. C₅₃×#554	C₂²	semidirect
70. C₅₃×#553	C₂²	semidirect
71. C₅₃×#553	C₂²	semidirect
72. C₅₃×#553	C₂²	semidirect
73. C₅₃×#553	C₂²	semidirect
74. C₅₃×#553	C₂²	semidirect
75. C₅₃×#553	C₂²	semidirect
76. C₅₃×#553	C₂²	semidirect
77. C₅₃×#553	C₂²	semidirect
78. C₅₃×#553	C₂²	semidirect
79. C₅₃×#553	C₂²	semidirect
80. C₅₃×#553	C₂²	semidirect
81. C₅₃×#552	C₂²	semidirect
82. C₅₃×#552	C₂²	semidirect
83. C₅₃×#552	C₂²	semidirect
84. C₅₃×#551	C₂²	semidirect
85. C₅₃×#551	C₂²	semidirect
86. C₅₃×#551	C₂²	semidirect
87. C₅₃×#551	C₂²	semidirect
88. C₅₃×#551	C₂²	semidirect
89. C₅₃×#551	C₂²	semidirect
90. C₅₃×#551	C₂²	semidirect
91. C₅₃×#551	C₂²	semidirect
92. C₅₃×#550	C₂²	semidirect
93. C₅₃×#550	C₂²	semidirect
94. C₅₃×#550	C₂²	semidirect
95. C₅₃×#550	C₂²	semidirect
96. C₅₃×#550	C₂²	semidirect
97. C₅₃×#550	C₂²	semidirect
98. C₅₃×#548	C₂²	semidirect
99. C₅₃×#548	C₂²	semidirect
100. C₅₃×#547	C₂²	semidirect
101. C₅₃×#547	C₂²	semidirect
102. C₅₃×#547	C₂²	semidirect
103. C₅₃×#547	C₂²	semidirect
104. C₅₃×#547	C₂²	semidirect
105. C₅₃×#547	C₂²	semidirect
106. C₅₃×#546	C₂²	semidirect
107. C₅₃×#546	C₂²	semidirect
108. C₅₃×#546	C₂²	semidirect
109. C₅₃×#546	C₂²	semidirect
110. C₅₃×#546	C₂²	semidirect
111. C₅₃×#546	C₂²	semidirect
112. C₅₃×#546	C₂²	semidirect
113. C₅₃×#546	C₂²	semidirect
114. C₅₃×#546	C₂²	semidirect
115. C₅₃×#546	C₂²	semidirect
116. C₅₃×#546	C₂²	semidirect
117. C₅₃×#546	C₂²	semidirect
118. C₅₃×#546	C₂²	semidirect
119. C₅₃×#546	C₂²	semidirect
120. C₅₃×#546	C₂²	semidirect
121. C₅₃×#546	C₂²	semidirect
122. C₅₃×#546	C₂²	semidirect
123. C₅₃×#546	C₂²	semidirect
124. C₅₃×#546	C₂²	semidirect
125. C₅₃×#546	C₂²	semidirect
126. C₅₃×#546	C₂²	semidirect
127. C₅₃×#546	C₂²	semidirect
128. C₅₃×#546	C₂²	semidirect
129. C₅₃×#546	C₂²	semidirect
130. C₅₃×#546	C₂²	semidirect
131. C₅₃×#546	C₂²	semidirect
132. D₄²×C₅₃	C₂²	semidirect
133. D₄²×C₅₃	C₂²	semidirect
134. D₄²×C₅₃	C₂²	semidirect
135. D₄²×C₅₃	C₂²	semidirect
136. D₄²×C₅₃	C₂²	semidirect
137. D₄²×C₅₃	C₂²	semidirect
138. D₄²×C₅₃	C₂²	semidirect
139. D₄²×C₅₃	C₂²	semidirect
140. D₄²×C₅₃	C₂²	semidirect
141. D₄²×C₅₃	C₂²	semidirect
142. D₄²×C₅₃	C₂²	semidirect
143. D₄²×C₅₃	C₂²	semidirect
144. D₄²×C₅₃	C₂²	semidirect
145. D₄²×C₅₃	C₂²	semidirect
146. D₄²×C₅₃	C₂²	semidirect
147. D₄²×C₅₃	C₂²	semidirect
148. D₄²×C₅₃	C₂²	semidirect
149. D₄²×C₅₃	C₂²	semidirect
150. D₄²×C₅₃	C₂²	semidirect
151. C₅₃×#542	C₂²	semidirect
152. C₅₃×#542	C₂²	semidirect
153. C₅₃×#542	C₂²	semidirect
154. C₅₃×#542	C₂²	semidirect
155. C₅₃×#541	C₂²	semidirect
156. C₅₃×#540	C₂²	semidirect
157. C₅₃×#540	C₂²	semidirect
158. C₅₃×#540	C₂²	semidirect
159. C₅₃×#540	C₂²	semidirect
160. C₅₃×#540	C₂²	semidirect
161. C₅₃×#540	C₂²	semidirect
162. C₅₃×#540	C₂²	semidirect
163. C₅₃×#540	C₂²	semidirect
164. C₅₃×#540	C₂²	semidirect
165. C₅₃×#539	C₂²	semidirect
166. C₅₃×#539	C₂²	semidirect
167. C₅₃×#539	C₂²	semidirect
168. C₅₃×#539	C₂²	semidirect
169. C₅₃×#539	C₂²	semidirect
170. C₅₃×#538	C₂²	semidirect
171. C₅₃×#538	C₂²	semidirect
172. C₅₃×#538	C₂²	semidirect
173. C₅₃×#538	C₂²	semidirect
174. C₅₃×#538	C₂²	semidirect
175. C₅₃×#538	C₂²	semidirect
176. C₅₃×#538	C₂²	semidirect
177. C₅₃×#538	C₂²	semidirect
178. C₅₃×#538	C₂²	semidirect
179. C₅₃×#538	C₂²	semidirect
180. C₅₃×#538	C₂²	semidirect
181. C₅₃×#538	C₂²	semidirect
182. C₅₃×#538	C₂²	semidirect
183. C₅₃×#538	C₂²	semidirect
184. C₅₃×#537	C₂²	semidirect
185. C₅₃×#537	C₂²	semidirect
186. C₅₃×#537	C₂²	semidirect
187. C₅₃×#537	C₂²	semidirect
188. C₅₃×#537	C₂²	semidirect
189. C₅₃×#536	C₂²	semidirect
190. C₅₃×#536	C₂²	semidirect
191. C₅₃×#535	C₂²	semidirect
192. C₅₃×#535	C₂²	semidirect
193. C₅₃×#535	C₂²	semidirect
194. C₅₃×#535	C₂²	semidirect
195. C₅₃×#535	C₂²	semidirect
196. C₅₃×#535	C₂²	semidirect
197. C₅₃×#535	C₂²	semidirect
198. C₅₃×#535	C₂²	semidirect
199. C₅₃×#535	C₂²	semidirect
200. C₅₃×#535	C₂²	semidirect
201. C₅₃×#535	C₂²	semidirect
202. C₅₃×#535	C₂²	semidirect
203. C₅₃×#535	C₂²	semidirect
204. C₅₃×#535	C₂²	semidirect
205. C₅₃×#534	C₂²	semidirect
206. C₅₃×#534	C₂²	semidirect
207. C₅₃×#534	C₂²	semidirect
208. C₅₃×#534	C₂²	semidirect
209. C₅₃×#534	C₂²	semidirect
210. C₅₃×#534	C₂²	semidirect
211. C₅₃×#534	C₂²	semidirect
212. C₅₃×#534	C₂²	semidirect
213. C₅₃×#534	C₂²	semidirect
214. C₅₃×#534	C₂²	semidirect
215. C₅₃×#534	C₂²	semidirect
216. C₅₃×#534	C₂²	semidirect
217. C₅₃×#532	C₂²	semidirect
218. C₅₃×#532	C₂²	semidirect
219. C₅₃×#532	C₂²	semidirect
220. C₅₃×#532	C₂²	semidirect
221. C₅₃×#532	C₂²	semidirect
222. C₂×#127×C₅₃	C₂²	semidirect
223. C₂×#127×C₅₃	C₂²	semidirect
224. C₅₃×#529	C₂²	semidirect
225. C₅₃×#529	C₂²	semidirect
226. C₅₃×#529	C₂²	semidirect
227. C₅₃×#529	C₂²	semidirect
228. C₅₃×#529	C₂²	semidirect
229. C₅₃×#529	C₂²	semidirect
230. C₂×#126×C₅₃	C₂²	semidirect
231. C₅₃×#525	C₂²	semidirect
232. C₅₃×#525	C₂²	semidirect
233. C₅₃×#525	C₂²	semidirect
234. C₅₃×#525	C₂²	semidirect
235. C₅₃×#525	C₂²	semidirect
236. C₅₃×#525	C₂²	semidirect
237. C₅₃×#525	C₂²	semidirect
238. C₅₃×#525	C₂²	semidirect
239. C₅₃×#525	C₂²	semidirect
240. C₅₃×#525	C₂²	semidirect
241. C₂×#123×C₅₃	C₂²	semidirect
242. C₂×#123×C₅₃	C₂²	semidirect
243. C₂×#123×C₅₃	C₂²	semidirect
244. C₂×#121×C₅₃	C₂²	semidirect
245. C₂×#121×C₅₃	C₂²	semidirect
246. C₂×#121×C₅₃	C₂²	semidirect
247. C₂×#121×C₅₃	C₂²	semidirect
248. C₂×#121×C₅₃	C₂²	semidirect
249. C₂×#120×C₅₃	C₂²	semidirect
250. C₂×#120×C₅₃	C₂²	semidirect
251. C₂×#120×C₅₃	C₂²	semidirect
252. C₂×#120×C₅₃	C₂²	semidirect
253. C₅₃×#520	C₂²	semidirect
254. C₅₃×#518	C₂²	semidirect
255. C₅₃×#518	C₂²	semidirect
256. C₅₃×#518	C₂²	semidirect
257. C₄×#41×C₅₃	C₂²	semidirect
258. C₂×C₄×D₄×C₅₃	C₂²	semidirect
274. C₂×#41×C₅₃	C₂³	semidirect
275. C₂×#41×C₅₃	C₂³	semidirect
276. C₂×#41×C₅₃	C₂³	semidirect
277. C₂×#41×C₅₃	C₂³	semidirect
278. C₂×#41×C₅₃	C₂³	semidirect
279. C₂×#41×C₅₃	C₂³	semidirect
280. C₂×#41×C₅₃	C₂³	semidirect
281. C₂×#41×C₅₃	C₂³	semidirect
282. C₂²×Q₈×C₅₃	C₂³	semidirect
306. C₂²×D₄×C₅₃	C₂³	semidirect
307. C₂²×D₄×C₅₃	C₂³	semidirect
308. C₂²×D₄×C₅₃	C₂³	semidirect
309. C₂²×D₄×C₅₃	C₂³	semidirect
310. C₂²×D₄×C₅₃	C₂³	semidirect
311. C₂²×D₄×C₅₃	C₂³	semidirect
312. C₂²×D₄×C₅₃	C₂³	semidirect
313. C₂²×D₄×C₅₃	C₂³	semidirect
315. C₂³×C₄×C₅₃	C₂³	semidirect
316. C₂³×C₄×C₅₃	C₂³	semidirect
317. C₂³×C₄×C₅₃	C₂³	semidirect
318. C₄⋊Q₈×C₅₃	C₂³	semidirect
319. C₄⋊Q₈×C₅₃	C₂³	semidirect
320. C₄⋊Q₈×C₅₃	C₂³	semidirect
321. C₄⋊Q₈×C₅₃	C₂³	semidirect
322. C₄⋊Q₈×C₅₃	C₂³	semidirect
333. #127×C₅₃	C₂³	semidirect
334. #127×C₅₃	C₂³	semidirect
335. #127×C₅₃	C₂³	semidirect
336. #127×C₅₃	C₂³	semidirect
337. #127×C₅₃	C₂³	semidirect
338. #127×C₅₃	C₂³	semidirect
347. #126×C₅₃	C₂³	semidirect
348. #126×C₅₃	C₂³	semidirect
349. #126×C₅₃	C₂³	semidirect
350. #126×C₅₃	C₂³	semidirect
351. #126×C₅₃	C₂³	semidirect
352. #126×C₅₃	C₂³	semidirect
353. #126×C₅₃	C₂³	semidirect
354. #126×C₅₃	C₂³	semidirect
355. #126×C₅₃	C₂³	semidirect
356. #126×C₅₃	C₂³	semidirect
357. #126×C₅₃	C₂³	semidirect
358. #126×C₅₃	C₂³	semidirect
359. #126×C₅₃	C₂³	semidirect
360. #126×C₅₃	C₂³	semidirect
361. #125×C₅₃	C₂³	semidirect
362. #125×C₅₃	C₂³	semidirect
363. #125×C₅₃	C₂³	semidirect
364. #125×C₅₃	C₂³	semidirect
365. #125×C₅₃	C₂³	semidirect
366. #125×C₅₃	C₂³	semidirect
367. #125×C₅₃	C₂³	semidirect
368. #125×C₅₃	C₂³	semidirect
369. #125×C₅₃	C₂³	semidirect
385. #124×C₅₃	C₂³	semidirect
386. #124×C₅₃	C₂³	semidirect
387. #124×C₅₃	C₂³	semidirect
388. #124×C₅₃	C₂³	semidirect
389. #124×C₅₃	C₂³	semidirect
390. #124×C₅₃	C₂³	semidirect
391. #124×C₅₃	C₂³	semidirect
392. #124×C₅₃	C₂³	semidirect
393. #124×C₅₃	C₂³	semidirect
394. #124×C₅₃	C₂³	semidirect
420. #123×C₅₃	C₂³	semidirect
421. #123×C₅₃	C₂³	semidirect
422. #123×C₅₃	C₂³	semidirect
423. #123×C₅₃	C₂³	semidirect
424. #123×C₅₃	C₂³	semidirect
425. #123×C₅₃	C₂³	semidirect
426. #123×C₅₃	C₂³	semidirect
427. #123×C₅₃	C₂³	semidirect
428. #123×C₅₃	C₂³	semidirect
429. #123×C₅₃	C₂³	semidirect
430. #123×C₅₃	C₂³	semidirect
431. #123×C₅₃	C₂³	semidirect
432. #123×C₅₃	C₂³	semidirect
433. #123×C₅₃	C₂³	semidirect
434. #123×C₅₃	C₂³	semidirect
435. #123×C₅₃	C₂³	semidirect
436. #123×C₅₃	C₂³	semidirect
437. #123×C₅₃	C₂³	semidirect
438. #123×C₅₃	C₂³	semidirect
439. #123×C₅₃	C₂³	semidirect
440. #123×C₅₃	C₂³	semidirect
441. #123×C₅₃	C₂³	semidirect
442. #123×C₅₃	C₂³	semidirect
443. #123×C₅₃	C₂³	semidirect
444. #123×C₅₃	C₂³	semidirect
445. #123×C₅₃	C₂³	semidirect
446. #123×C₅₃	C₂³	semidirect
447. #123×C₅₃	C₂³	semidirect
448. #123×C₅₃	C₂³	semidirect
449. #123×C₅₃	C₂³	semidirect
450. #123×C₅₃	C₂³	semidirect
451. #123×C₅₃	C₂³	semidirect
458. C₂²⋊Q₈×C₅₃	C₂³	semidirect
459. C₂²⋊Q₈×C₅₃	C₂³	semidirect
460. C₂²⋊Q₈×C₅₃	C₂³	semidirect
461. C₂²⋊Q₈×C₅₃	C₂³	semidirect
462. C₂²⋊Q₈×C₅₃	C₂³	semidirect
463. C₂²⋊Q₈×C₅₃	C₂³	semidirect
464. C₂²⋊Q₈×C₅₃	C₂³	semidirect
465. C₂²⋊Q₈×C₅₃	C₂³	semidirect
466. C₂²⋊Q₈×C₅₃	C₂³	semidirect
467. C₂²⋊Q₈×C₅₃	C₂³	semidirect
468. C₂²⋊Q₈×C₅₃	C₂³	semidirect
469. C₂²⋊Q₈×C₅₃	C₂³	semidirect
470. C₂²⋊Q₈×C₅₃	C₂³	semidirect
471. C₂²⋊Q₈×C₅₃	C₂³	semidirect
472. C₂²⋊Q₈×C₅₃	C₂³	semidirect
473. C₂²⋊Q₈×C₅₃	C₂³	semidirect
474. C₂²⋊Q₈×C₅₃	C₂³	semidirect
475. C₂²⋊Q₈×C₅₃	C₂³	semidirect
476. C₂²⋊Q₈×C₅₃	C₂³	semidirect
477. C₂²⋊Q₈×C₅₃	C₂³	semidirect
478. C₂²⋊Q₈×C₅₃	C₂³	semidirect
479. C₂²⋊Q₈×C₅₃	C₂³	semidirect
531. #121×C₅₃	C₂³	semidirect
532. #121×C₅₃	C₂³	semidirect
533. #121×C₅₃	C₂³	semidirect
534. #121×C₅₃	C₂³	semidirect
535. #121×C₅₃	C₂³	semidirect
536. #121×C₅₃	C₂³	semidirect
537. #121×C₅₃	C₂³	semidirect
538. #121×C₅₃	C₂³	semidirect
539. #121×C₅₃	C₂³	semidirect
540. #121×C₅₃	C₂³	semidirect
541. #121×C₅₃	C₂³	semidirect
542. #121×C₅₃	C₂³	semidirect
543. #121×C₅₃	C₂³	semidirect
544. #121×C₅₃	C₂³	semidirect
545. #121×C₅₃	C₂³	semidirect
546. #121×C₅₃	C₂³	semidirect
547. #121×C₅₃	C₂³	semidirect
548. #121×C₅₃	C₂³	semidirect
549. #121×C₅₃	C₂³	semidirect
550. #121×C₅₃	C₂³	semidirect
551. #121×C₅₃	C₂³	semidirect
552. #121×C₅₃	C₂³	semidirect
553. #121×C₅₃	C₂³	semidirect
554. #121×C₅₃	C₂³	semidirect
555. #121×C₅₃	C₂³	semidirect
556. #121×C₅₃	C₂³	semidirect
557. #121×C₅₃	C₂³	semidirect
558. #121×C₅₃	C₂³	semidirect
559. #121×C₅₃	C₂³	semidirect
560. #121×C₅₃	C₂³	semidirect
561. #121×C₅₃	C₂³	semidirect
562. #121×C₅₃	C₂³	semidirect
563. #121×C₅₃	C₂³	semidirect
564. #121×C₅₃	C₂³	semidirect
565. #121×C₅₃	C₂³	semidirect
566. #121×C₅₃	C₂³	semidirect
567. #121×C₅₃	C₂³	semidirect
568. #121×C₅₃	C₂³	semidirect
569. #121×C₅₃	C₂³	semidirect
570. #121×C₅₃	C₂³	semidirect
607. #120×C₅₃	C₂³	semidirect
608. #120×C₅₃	C₂³	semidirect
609. #120×C₅₃	C₂³	semidirect
610. #120×C₅₃	C₂³	semidirect
611. #120×C₅₃	C₂³	semidirect
612. #120×C₅₃	C₂³	semidirect
613. #120×C₅₃	C₂³	semidirect
614. #120×C₅₃	C₂³	semidirect
615. #120×C₅₃	C₂³	semidirect
616. #120×C₅₃	C₂³	semidirect
617. #120×C₅₃	C₂³	semidirect
618. #120×C₅₃	C₂³	semidirect
619. #120×C₅₃	C₂³	semidirect
620. #120×C₅₃	C₂³	semidirect
621. C₄×Q₈×C₅₃	C₂³	semidirect
622. C₄×Q₈×C₅₃	C₂³	semidirect
623. C₄×Q₈×C₅₃	C₂³	semidirect
624. C₄×Q₈×C₅₃	C₂³	semidirect
625. C₄×Q₈×C₅₃	C₂³	semidirect
644. C₄×D₄×C₅₃	C₂³	semidirect
645. C₄×D₄×C₅₃	C₂³	semidirect
646. C₄×D₄×C₅₃	C₂³	semidirect
647. C₄×D₄×C₅₃	C₂³	semidirect
648. C₄×D₄×C₅₃	C₂³	semidirect
649. C₄×D₄×C₅₃	C₂³	semidirect
650. C₄×D₄×C₅₃	C₂³	semidirect
651. C₄×D₄×C₅₃	C₂³	semidirect
652. C₄×D₄×C₅₃	C₂³	semidirect
653. C₄×D₄×C₅₃	C₂³	semidirect
654. C₄×D₄×C₅₃	C₂³	semidirect
655. C₄×D₄×C₅₃	C₂³	semidirect
656. C₄×D₄×C₅₃	C₂³	semidirect
657. C₄×D₄×C₅₃	C₂³	semidirect
658. C₄×D₄×C₅₃	C₂³	semidirect
659. C₄×D₄×C₅₃	C₂³	semidirect
660. C₄×D₄×C₅₃	C₂³	semidirect
661. C₄×D₄×C₅₃	C₂³	semidirect
662. C₄×D₄×C₅₃	C₂³	semidirect
663. C₄×D₄×C₅₃	C₂³	semidirect
664. C₄×D₄×C₅₃	C₂³	semidirect
665. C₄×D₄×C₅₃	C₂³	semidirect
666. C₄×D₄×C₅₃	C₂³	semidirect
667. C₄×D₄×C₅₃	C₂³	semidirect
668. C₄×D₄×C₅₃	C₂³	semidirect
669. C₄×D₄×C₅₃	C₂³	semidirect
670. C₄×D₄×C₅₃	C₂³	semidirect
671. C₄×D₄×C₅₃	C₂³	semidirect
672. C₄×D₄×C₅₃	C₂³	semidirect
677. #117×C₅₃	C₂³	semidirect
678. #117×C₅₃	C₂³	semidirect
679. #117×C₅₃	C₂³	semidirect
680. #117×C₅₃	C₂³	semidirect
681. #117×C₅₃	C₂³	semidirect
682. #117×C₅₃	C₂³	semidirect
683. #117×C₅₃	C₂³	semidirect
684. #117×C₅₃	C₂³	semidirect
685. #117×C₅₃	C₂³	semidirect
686. #117×C₅₃	C₂³	semidirect
687. #117×C₅₃	C₂³	semidirect
688. #117×C₅₃	C₂³	semidirect
689. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
690. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
691. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
692. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
693. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
694. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
695. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
706. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
707. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
708. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
709. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
710. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
711. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
712. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
713. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
714. C₂×C₄²×C₅₃	C₂³	semidirect
715. C₂×C₄²×C₅₃	C₂³	semidirect
716. C₂×C₄²×C₅₃	C₂³	semidirect
1157. #63041	C₅₃	direct (N × H)
1215. #3562	C₂×C₅₃	semidirect
1216. #3560	C₂×C₅₃	semidirect
1217. #3551	C₂×C₅₃	semidirect
1218. #3546	C₂×C₅₃	semidirect
1219. #3546	C₂×C₅₃	semidirect
1220. #3543	C₂×C₅₃	semidirect
1221. #3543	C₂×C₅₃	semidirect
1222. #3542	C₂×C₅₃	semidirect
1223. #3542	C₂×C₅₃	semidirect
1224. #3540	C₂×C₅₃	semidirect
1225. #3539	C₂×C₅₃	semidirect
1226. #3537	C₂×C₅₃	semidirect
1227. #3537	C₂×C₅₃	semidirect
1228. #3534	C₂×C₅₃	semidirect
1229. #3534	C₂×C₅₃	semidirect
1230. #3533	C₂×C₅₃	semidirect
1231. #3532	C₂×C₅₃	semidirect
1232. #3532	C₂×C₅₃	semidirect
1233. #3529	C₂×C₅₃	semidirect
1234. C₂×#560	C₂×C₅₃	semidirect
1235. #3521	C₂×C₅₃	semidirect
1236. #3519	C₂×C₅₃	semidirect
1237. #3513	C₂×C₅₃	semidirect
1238. #3498	C₂×C₅₃	semidirect
1239. #3496	C₂×C₅₃	semidirect
1240. #3488	C₂×C₅₃	semidirect
1241. #3485	C₂×C₅₃	semidirect
1242. #3484	C₂×C₅₃	semidirect
1243. #3484	C₂×C₅₃	semidirect
1257. C₂×H(5,𝔽₂)	C₂²×C₅₃	semidirect
1258. C₂×H(5,𝔽₂)	C₂²×C₅₃	semidirect
1259. C₂×H(5,𝔽₂)	C₂²×C₅₃	semidirect
1260. C₂²×#41	C₂²×C₅₃	semidirect
1261. C₂³×D₄	C₂²×C₅₃	semidirect
1262. #563	C₂²×C₅₃	semidirect
1263. #563	C₂²×C₅₃	semidirect
1264. #563	C₂²×C₅₃	semidirect
1265. #562	C₂²×C₅₃	semidirect
1266. #562	C₂²×C₅₃	semidirect
1267. #562	C₂²×C₅₃	semidirect
1268. #562	C₂²×C₅₃	semidirect
1269. #562	C₂²×C₅₃	semidirect
1270. H(3,𝔽₄)	C₂²×C₅₃	semidirect
1271. H(3,𝔽₄)	C₂²×C₅₃	semidirect
1272. #560	C₂²×C₅₃	semidirect
1273. #560	C₂²×C₅₃	semidirect
1274. #560	C₂²×C₅₃	semidirect
1275. #560	C₂²×C₅₃	semidirect
1276. #560	C₂²×C₅₃	semidirect
1277. #560	C₂²×C₅₃	semidirect
1278. #560	C₂²×C₅₃	semidirect
1279. #560	C₂²×C₅₃	semidirect
1280. #560	C₂²×C₅₃	semidirect
1281. #560	C₂²×C₅₃	semidirect
1282. #560	C₂²×C₅₃	semidirect
1283. #560	C₂²×C₅₃	semidirect
1284. #560	C₂²×C₅₃	semidirect
1285. #560	C₂²×C₅₃	semidirect
1286. #560	C₂²×C₅₃	semidirect
1287. #560	C₂²×C₅₃	semidirect
1288. #560	C₂²×C₅₃	semidirect
1289. #560	C₂²×C₅₃	semidirect
1290. #559	C₂²×C₅₃	semidirect
1291. #559	C₂²×C₅₃	semidirect
1292. #556	C₂²×C₅₃	semidirect
1293. #556	C₂²×C₅₃	semidirect
1294. #555	C₂²×C₅₃	semidirect
1295. #555	C₂²×C₅₃	semidirect
1296. #554	C₂²×C₅₃	semidirect
1297. #553	C₂²×C₅₃	semidirect
1298. #553	C₂²×C₅₃	semidirect
1299. #553	C₂²×C₅₃	semidirect
1300. #553	C₂²×C₅₃	semidirect
1301. #553	C₂²×C₅₃	semidirect
1302. #553	C₂²×C₅₃	semidirect
1303. #553	C₂²×C₅₃	semidirect
1304. #553	C₂²×C₅₃	semidirect
1305. #553	C₂²×C₅₃	semidirect
1306. #553	C₂²×C₅₃	semidirect
1307. #553	C₂²×C₅₃	semidirect
1308. #552	C₂²×C₅₃	semidirect
1309. #552	C₂²×C₅₃	semidirect
1310. #552	C₂²×C₅₃	semidirect
1311. #551	C₂²×C₅₃	semidirect
1312. #551	C₂²×C₅₃	semidirect
1313. #551	C₂²×C₅₃	semidirect
1314. #551	C₂²×C₅₃	semidirect
1315. #551	C₂²×C₅₃	semidirect
1316. #551	C₂²×C₅₃	semidirect
1317. #551	C₂²×C₅₃	semidirect
1318. #551	C₂²×C₅₃	semidirect
1319. #550	C₂²×C₅₃	semidirect
1320. #550	C₂²×C₅₃	semidirect
1321. #550	C₂²×C₅₃	semidirect
1322. #550	C₂²×C₅₃	semidirect
1323. #550	C₂²×C₅₃	semidirect
1324. #550	C₂²×C₅₃	semidirect
1325. #548	C₂²×C₅₃	semidirect
1326. #548	C₂²×C₅₃	semidirect
1327. #547	C₂²×C₅₃	semidirect
1328. #547	C₂²×C₅₃	semidirect
1329. #547	C₂²×C₅₃	semidirect
1330. #547	C₂²×C₅₃	semidirect
1331. #547	C₂²×C₅₃	semidirect
1332. #547	C₂²×C₅₃	semidirect
1333. #546	C₂²×C₅₃	semidirect
1334. #546	C₂²×C₅₃	semidirect
1335. #546	C₂²×C₅₃	semidirect
1336. #546	C₂²×C₅₃	semidirect
1337. #546	C₂²×C₅₃	semidirect
1338. #546	C₂²×C₅₃	semidirect
1339. #546	C₂²×C₅₃	semidirect
1340. #546	C₂²×C₅₃	semidirect
1341. #546	C₂²×C₅₃	semidirect
1342. #546	C₂²×C₅₃	semidirect
1343. #546	C₂²×C₅₃	semidirect
1344. #546	C₂²×C₅₃	semidirect
1345. #546	C₂²×C₅₃	semidirect
1346. #546	C₂²×C₅₃	semidirect
1347. #546	C₂²×C₅₃	semidirect
1348. #546	C₂²×C₅₃	semidirect
1349. #546	C₂²×C₅₃	semidirect
1350. #546	C₂²×C₅₃	semidirect
1351. #546	C₂²×C₅₃	semidirect
1352. #546	C₂²×C₅₃	semidirect
1353. #546	C₂²×C₅₃	semidirect
1354. #546	C₂²×C₅₃	semidirect
1355. #546	C₂²×C₅₃	semidirect
1356. #546	C₂²×C₅₃	semidirect
1357. #546	C₂²×C₅₃	semidirect
1358. #546	C₂²×C₅₃	semidirect
1359. D₄²	C₂²×C₅₃	semidirect
1360. D₄²	C₂²×C₅₃	semidirect
1361. D₄²	C₂²×C₅₃	semidirect
1362. D₄²	C₂²×C₅₃	semidirect
1363. D₄²	C₂²×C₅₃	semidirect
1364. D₄²	C₂²×C₅₃	semidirect
1365. D₄²	C₂²×C₅₃	semidirect
1366. D₄²	C₂²×C₅₃	semidirect
1367. D₄²	C₂²×C₅₃	semidirect
1368. D₄²	C₂²×C₅₃	semidirect
1369. D₄²	C₂²×C₅₃	semidirect
1370. D₄²	C₂²×C₅₃	semidirect
1371. D₄²	C₂²×C₅₃	semidirect
1372. D₄²	C₂²×C₅₃	semidirect
1373. D₄²	C₂²×C₅₃	semidirect
1374. D₄²	C₂²×C₅₃	semidirect
1375. D₄²	C₂²×C₅₃	semidirect
1376. D₄²	C₂²×C₅₃	semidirect
1377. D₄²	C₂²×C₅₃	semidirect
1378. #542	C₂²×C₅₃	semidirect
1379. #542	C₂²×C₅₃	semidirect
1380. #542	C₂²×C₅₃	semidirect
1381. #542	C₂²×C₅₃	semidirect
1382. #541	C₂²×C₅₃	semidirect
1383. #540	C₂²×C₅₃	semidirect
1384. #540	C₂²×C₅₃	semidirect
1385. #540	C₂²×C₅₃	semidirect
1386. #540	C₂²×C₅₃	semidirect
1387. #540	C₂²×C₅₃	semidirect
1388. #540	C₂²×C₅₃	semidirect
1389. #540	C₂²×C₅₃	semidirect
1390. #540	C₂²×C₅₃	semidirect
1391. #540	C₂²×C₅₃	semidirect
1392. #539	C₂²×C₅₃	semidirect
1393. #539	C₂²×C₅₃	semidirect
1394. #539	C₂²×C₅₃	semidirect
1395. #539	C₂²×C₅₃	semidirect
1396. #539	C₂²×C₅₃	semidirect
1397. #538	C₂²×C₅₃	semidirect
1398. #538	C₂²×C₅₃	semidirect
1399. #538	C₂²×C₅₃	semidirect
1400. #538	C₂²×C₅₃	semidirect
1401. #538	C₂²×C₅₃	semidirect
1402. #538	C₂²×C₅₃	semidirect
1403. #538	C₂²×C₅₃	semidirect
1404. #538	C₂²×C₅₃	semidirect
1405. #538	C₂²×C₅₃	semidirect
1406. #538	C₂²×C₅₃	semidirect
1407. #538	C₂²×C₅₃	semidirect
1408. #538	C₂²×C₅₃	semidirect
1409. #538	C₂²×C₅₃	semidirect
1410. #538	C₂²×C₅₃	semidirect
1411. #537	C₂²×C₅₃	semidirect
1412. #537	C₂²×C₅₃	semidirect
1413. #537	C₂²×C₅₃	semidirect
1414. #537	C₂²×C₅₃	semidirect
1415. #537	C₂²×C₅₃	semidirect
1416. #536	C₂²×C₅₃	semidirect
1417. #536	C₂²×C₅₃	semidirect
1418. #535	C₂²×C₅₃	semidirect
1419. #535	C₂²×C₅₃	semidirect
1420. #535	C₂²×C₅₃	semidirect
1421. #535	C₂²×C₅₃	semidirect
1422. #535	C₂²×C₅₃	semidirect
1423. #535	C₂²×C₅₃	semidirect
1424. #535	C₂²×C₅₃	semidirect
1425. #535	C₂²×C₅₃	semidirect
1426. #535	C₂²×C₅₃	semidirect
1427. #535	C₂²×C₅₃	semidirect
1428. #535	C₂²×C₅₃	semidirect
1429. #535	C₂²×C₅₃	semidirect
1430. #535	C₂²×C₅₃	semidirect
1431. #535	C₂²×C₅₃	semidirect
1432. #534	C₂²×C₅₃	semidirect
1433. #534	C₂²×C₅₃	semidirect
1434. #534	C₂²×C₅₃	semidirect
1435. #534	C₂²×C₅₃	semidirect
1436. #534	C₂²×C₅₃	semidirect
1437. #534	C₂²×C₅₃	semidirect
1438. #534	C₂²×C₅₃	semidirect
1439. #534	C₂²×C₅₃	semidirect
1440. #534	C₂²×C₅₃	semidirect
1441. #534	C₂²×C₅₃	semidirect
1442. #534	C₂²×C₅₃	semidirect
1443. #534	C₂²×C₅₃	semidirect
1444. #532	C₂²×C₅₃	semidirect
1445. #532	C₂²×C₅₃	semidirect
1446. #532	C₂²×C₅₃	semidirect
1447. #532	C₂²×C₅₃	semidirect
1448. #532	C₂²×C₅₃	semidirect
1449. C₂×#127	C₂²×C₅₃	semidirect
1450. C₂×#127	C₂²×C₅₃	semidirect
1451. #529	C₂²×C₅₃	semidirect
1452. #529	C₂²×C₅₃	semidirect
1453. #529	C₂²×C₅₃	semidirect
1454. #529	C₂²×C₅₃	semidirect
1455. #529	C₂²×C₅₃	semidirect
1456. #529	C₂²×C₅₃	semidirect
1457. C₂×#126	C₂²×C₅₃	semidirect
1458. #525	C₂²×C₅₃	semidirect
1459. #525	C₂²×C₅₃	semidirect
1460. #525	C₂²×C₅₃	semidirect
1461. #525	C₂²×C₅₃	semidirect
1462. #525	C₂²×C₅₃	semidirect
1463. #525	C₂²×C₅₃	semidirect
1464. #525	C₂²×C₅₃	semidirect
1465. #525	C₂²×C₅₃	semidirect
1466. #525	C₂²×C₅₃	semidirect
1467. #525	C₂²×C₅₃	semidirect
1468. C₂×#123	C₂²×C₅₃	semidirect
1469. C₂×#123	C₂²×C₅₃	semidirect
1470. C₂×#123	C₂²×C₅₃	semidirect
1471. C₂×#121	C₂²×C₅₃	semidirect
1472. C₂×#121	C₂²×C₅₃	semidirect
1473. C₂×#121	C₂²×C₅₃	semidirect
1474. C₂×#121	C₂²×C₅₃	semidirect
1475. C₂×#121	C₂²×C₅₃	semidirect
1476. C₂×#120	C₂²×C₅₃	semidirect
1477. C₂×#120	C₂²×C₅₃	semidirect
1478. C₂×#120	C₂²×C₅₃	semidirect
1479. C₂×#120	C₂²×C₅₃	semidirect
1480. #520	C₂²×C₅₃	semidirect
1481. #518	C₂²×C₅₃	semidirect
1482. #518	C₂²×C₅₃	semidirect
1483. #518	C₂²×C₅₃	semidirect
1484. C₄×#41	C₂²×C₅₃	semidirect
1485. C₂×C₄×D₄	C₂²×C₅₃	semidirect
1486. C₅₃	#63041	direct (N × H)
1502. C₂×#41	C₂³×C₅₃	semidirect
1503. C₂×#41	C₂³×C₅₃	semidirect
1504. C₂×#41	C₂³×C₅₃	semidirect
1505. C₂×#41	C₂³×C₅₃	semidirect
1506. C₂×#41	C₂³×C₅₃	semidirect
1507. C₂×#41	C₂³×C₅₃	semidirect
1508. C₂×#41	C₂³×C₅₃	semidirect
1509. C₂×#41	C₂³×C₅₃	semidirect
1510. C₂²×Q₈	C₂³×C₅₃	semidirect
1534. C₂²×D₄	C₂³×C₅₃	semidirect
1535. C₂²×D₄	C₂³×C₅₃	semidirect
1536. C₂²×D₄	C₂³×C₅₃	semidirect
1537. C₂²×D₄	C₂³×C₅₃	semidirect
1538. C₂²×D₄	C₂³×C₅₃	semidirect
1539. C₂²×D₄	C₂³×C₅₃	semidirect
1540. C₂²×D₄	C₂³×C₅₃	semidirect
1541. C₂²×D₄	C₂³×C₅₃	semidirect
1543. C₂³×C₄	C₂³×C₅₃	semidirect
1544. C₂³×C₄	C₂³×C₅₃	semidirect
1545. C₂³×C₄	C₂³×C₅₃	semidirect
1546. C₄⋊Q₈	C₂³×C₅₃	semidirect
1547. C₄⋊Q₈	C₂³×C₅₃	semidirect
1548. C₄⋊Q₈	C₂³×C₅₃	semidirect
1549. C₄⋊Q₈	C₂³×C₅₃	semidirect
1550. C₄⋊Q₈	C₂³×C₅₃	semidirect
1561. #127	C₂³×C₅₃	semidirect
1562. #127	C₂³×C₅₃	semidirect
1563. #127	C₂³×C₅₃	semidirect
1564. #127	C₂³×C₅₃	semidirect
1565. #127	C₂³×C₅₃	semidirect
1566. #127	C₂³×C₅₃	semidirect
1575. #126	C₂³×C₅₃	semidirect
1576. #126	C₂³×C₅₃	semidirect
1577. #126	C₂³×C₅₃	semidirect
1578. #126	C₂³×C₅₃	semidirect
1579. #126	C₂³×C₅₃	semidirect
1580. #126	C₂³×C₅₃	semidirect
1581. #126	C₂³×C₅₃	semidirect
1582. #126	C₂³×C₅₃	semidirect
1583. #126	C₂³×C₅₃	semidirect
1584. #126	C₂³×C₅₃	semidirect
1585. #126	C₂³×C₅₃	semidirect
1586. #126	C₂³×C₅₃	semidirect
1587. #126	C₂³×C₅₃	semidirect
1588. #126	C₂³×C₅₃	semidirect
1589. #125	C₂³×C₅₃	semidirect
1590. #125	C₂³×C₅₃	semidirect
1591. #125	C₂³×C₅₃	semidirect
1592. #125	C₂³×C₅₃	semidirect
1593. #125	C₂³×C₅₃	semidirect
1594. #125	C₂³×C₅₃	semidirect
1595. #125	C₂³×C₅₃	semidirect
1596. #125	C₂³×C₅₃	semidirect
1597. #125	C₂³×C₅₃	semidirect
1613. #124	C₂³×C₅₃	semidirect
1614. #124	C₂³×C₅₃	semidirect
1615. #124	C₂³×C₅₃	semidirect
1616. #124	C₂³×C₅₃	semidirect
1617. #124	C₂³×C₅₃	semidirect
1618. #124	C₂³×C₅₃	semidirect
1619. #124	C₂³×C₅₃	semidirect
1620. #124	C₂³×C₅₃	semidirect
1621. #124	C₂³×C₅₃	semidirect
1622. #124	C₂³×C₅₃	semidirect
1648. #123	C₂³×C₅₃	semidirect
1649. #123	C₂³×C₅₃	semidirect
1650. #123	C₂³×C₅₃	semidirect
1651. #123	C₂³×C₅₃	semidirect
1652. #123	C₂³×C₅₃	semidirect
1653. #123	C₂³×C₅₃	semidirect
1654. #123	C₂³×C₅₃	semidirect
1655. #123	C₂³×C₅₃	semidirect
1656. #123	C₂³×C₅₃	semidirect
1657. #123	C₂³×C₅₃	semidirect
1658. #123	C₂³×C₅₃	semidirect
1659. #123	C₂³×C₅₃	semidirect
1660. #123	C₂³×C₅₃	semidirect
1661. #123	C₂³×C₅₃	semidirect
1662. #123	C₂³×C₅₃	semidirect
1663. #123	C₂³×C₅₃	semidirect
1664. #123	C₂³×C₅₃	semidirect
1665. #123	C₂³×C₅₃	semidirect
1666. #123	C₂³×C₅₃	semidirect
1667. #123	C₂³×C₅₃	semidirect
1668. #123	C₂³×C₅₃	semidirect
1669. #123	C₂³×C₅₃	semidirect
1670. #123	C₂³×C₅₃	semidirect
1671. #123	C₂³×C₅₃	semidirect
1672. #123	C₂³×C₅₃	semidirect
1673. #123	C₂³×C₅₃	semidirect
1674. #123	C₂³×C₅₃	semidirect
1675. #123	C₂³×C₅₃	semidirect
1676. #123	C₂³×C₅₃	semidirect
1677. #123	C₂³×C₅₃	semidirect
1678. #123	C₂³×C₅₃	semidirect
1679. #123	C₂³×C₅₃	semidirect
1686. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1687. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1688. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1689. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1690. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1691. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1692. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1693. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1694. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1695. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1696. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1697. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1698. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1699. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1700. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1701. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1702. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1703. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1704. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1705. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1706. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1707. C₂²⋊Q₈	C₂³×C₅₃	semidirect
1759. #121	C₂³×C₅₃	semidirect
1760. #121	C₂³×C₅₃	semidirect
1761. #121	C₂³×C₅₃	semidirect
1762. #121	C₂³×C₅₃	semidirect
1763. #121	C₂³×C₅₃	semidirect
1764. #121	C₂³×C₅₃	semidirect
1765. #121	C₂³×C₅₃	semidirect
1766. #121	C₂³×C₅₃	semidirect
1767. #121	C₂³×C₅₃	semidirect
1768. #121	C₂³×C₅₃	semidirect
1769. #121	C₂³×C₅₃	semidirect
1770. #121	C₂³×C₅₃	semidirect
1771. #121	C₂³×C₅₃	semidirect
1772. #121	C₂³×C₅₃	semidirect
1773. #121	C₂³×C₅₃	semidirect
1774. #121	C₂³×C₅₃	semidirect
1775. #121	C₂³×C₅₃	semidirect
1776. #121	C₂³×C₅₃	semidirect
1777. #121	C₂³×C₅₃	semidirect
1778. #121	C₂³×C₅₃	semidirect
1779. #121	C₂³×C₅₃	semidirect
1780. #121	C₂³×C₅₃	semidirect
1781. #121	C₂³×C₅₃	semidirect
1782. #121	C₂³×C₅₃	semidirect
1783. #121	C₂³×C₅₃	semidirect
1784. #121	C₂³×C₅₃	semidirect
1785. #121	C₂³×C₅₃	semidirect
1786. #121	C₂³×C₅₃	semidirect
1787. #121	C₂³×C₅₃	semidirect
1788. #121	C₂³×C₅₃	semidirect
1789. #121	C₂³×C₅₃	semidirect
1790. #121	C₂³×C₅₃	semidirect
1791. #121	C₂³×C₅₃	semidirect
1792. #121	C₂³×C₅₃	semidirect
1793. #121	C₂³×C₅₃	semidirect
1794. #121	C₂³×C₅₃	semidirect
1795. #121	C₂³×C₅₃	semidirect
1796. #121	C₂³×C₅₃	semidirect
1797. #121	C₂³×C₅₃	semidirect
1798. #121	C₂³×C₅₃	semidirect
1835. #120	C₂³×C₅₃	semidirect
1836. #120	C₂³×C₅₃	semidirect
1837. #120	C₂³×C₅₃	semidirect
1838. #120	C₂³×C₅₃	semidirect
1839. #120	C₂³×C₅₃	semidirect
1840. #120	C₂³×C₅₃	semidirect
1841. #120	C₂³×C₅₃	semidirect
1842. #120	C₂³×C₅₃	semidirect
1843. #120	C₂³×C₅₃	semidirect
1844. #120	C₂³×C₅₃	semidirect
1845. #120	C₂³×C₅₃	semidirect
1846. #120	C₂³×C₅₃	semidirect
1847. #120	C₂³×C₅₃	semidirect
1848. #120	C₂³×C₅₃	semidirect
1849. C₄×Q₈	C₂³×C₅₃	semidirect
1850. C₄×Q₈	C₂³×C₅₃	semidirect
1851. C₄×Q₈	C₂³×C₅₃	semidirect
1852. C₄×Q₈	C₂³×C₅₃	semidirect
1853. C₄×Q₈	C₂³×C₅₃	semidirect
1872. C₄×D₄	C₂³×C₅₃	semidirect
1873. C₄×D₄	C₂³×C₅₃	semidirect
1874. C₄×D₄	C₂³×C₅₃	semidirect
1875. C₄×D₄	C₂³×C₅₃	semidirect
1876. C₄×D₄	C₂³×C₅₃	semidirect
1877. C₄×D₄	C₂³×C₅₃	semidirect
1878. C₄×D₄	C₂³×C₅₃	semidirect
1879. C₄×D₄	C₂³×C₅₃	semidirect
1880. C₄×D₄	C₂³×C₅₃	semidirect
1881. C₄×D₄	C₂³×C₅₃	semidirect
1882. C₄×D₄	C₂³×C₅₃	semidirect
1883. C₄×D₄	C₂³×C₅₃	semidirect
1884. C₄×D₄	C₂³×C₅₃	semidirect
1885. C₄×D₄	C₂³×C₅₃	semidirect
1886. C₄×D₄	C₂³×C₅₃	semidirect
1887. C₄×D₄	C₂³×C₅₃	semidirect
1888. C₄×D₄	C₂³×C₅₃	semidirect
1889. C₄×D₄	C₂³×C₅₃	semidirect
1890. C₄×D₄	C₂³×C₅₃	semidirect
1891. C₄×D₄	C₂³×C₅₃	semidirect
1892. C₄×D₄	C₂³×C₅₃	semidirect
1893. C₄×D₄	C₂³×C₅₃	semidirect
1894. C₄×D₄	C₂³×C₅₃	semidirect
1895. C₄×D₄	C₂³×C₅₃	semidirect
1896. C₄×D₄	C₂³×C₅₃	semidirect
1897. C₄×D₄	C₂³×C₅₃	semidirect
1898. C₄×D₄	C₂³×C₅₃	semidirect
1899. C₄×D₄	C₂³×C₅₃	semidirect
1900. C₄×D₄	C₂³×C₅₃	semidirect
1905. #117	C₂³×C₅₃	semidirect
1906. #117	C₂³×C₅₃	semidirect
1907. #117	C₂³×C₅₃	semidirect
1908. #117	C₂³×C₅₃	semidirect
1909. #117	C₂³×C₅₃	semidirect
1910. #117	C₂³×C₅₃	semidirect
1911. #117	C₂³×C₅₃	semidirect
1912. #117	C₂³×C₅₃	semidirect
1913. #117	C₂³×C₅₃	semidirect
1914. #117	C₂³×C₅₃	semidirect
1915. #117	C₂³×C₅₃	semidirect
1916. #117	C₂³×C₅₃	semidirect
1917. C₂×C₄⋊C₄	C₂³×C₅₃	semidirect
1918. C₂×C₄⋊C₄	C₂³×C₅₃	semidirect
1919. C₂×C₄⋊C₄	C₂³×C₅₃	semidirect
1920. C₂×C₄⋊C₄	C₂³×C₅₃	semidirect
1921. C₂×C₄⋊C₄	C₂³×C₅₃	semidirect
1922. C₂×C₄⋊C₄	C₂³×C₅₃	semidirect
1923. C₂×C₄⋊C₄	C₂³×C₅₃	semidirect
1934. C₂×C₂²⋊C₄	C₂³×C₅₃	semidirect
1935. C₂×C₂²⋊C₄	C₂³×C₅₃	semidirect
1936. C₂×C₂²⋊C₄	C₂³×C₅₃	semidirect
1937. C₂×C₂²⋊C₄	C₂³×C₅₃	semidirect
1938. C₂×C₂²⋊C₄	C₂³×C₅₃	semidirect
1939. C₂×C₂²⋊C₄	C₂³×C₅₃	semidirect
1940. C₂×C₂²⋊C₄	C₂³×C₅₃	semidirect
1941. C₂×C₂²⋊C₄	C₂³×C₅₃	semidirect
1942. C₂×C₄²	C₂³×C₅₃	semidirect
1943. C₂×C₄²	C₂³×C₅₃	semidirect
1944. C₂×C₄²	C₂³×C₅₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₅₃×#3562	2
C₅₃×#3560	2
C₅₃×#3551	2
C₅₃×#3546	2
C₅₃×#3543	2
C₅₃×#3542	2
C₅₃×#3540	2
C₅₃×#3539	2
C₅₃×#3537	2
C₅₃×#3534	2
C₅₃×#3533	2
C₅₃×#3532	2
C₅₃×#3529	2
C₂×C₅₃×#560	2
C₅₃×#3521	2
C₅₃×#3519	2
C₅₃×#3513	2
C₅₃×#3498	2
C₅₃×#3496	2
C₅₃×#3488	2
C₅₃×#3485	2
C₅₃×#3484	2
#63041	53

Subgroups — C53×#63041 #27270553

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#63041 #27270553