Subgroups — C₅₃×#63055 #27270567

Order 13568.

6730 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3567	C₂	1	2	yes	maximal, complemented
2	C₅₃×#3566	C₂	1	4	yes	maximal, complemented
3	C₅₃×#3566	C₂	1	4	yes	maximal, complemented
4	C₅₃×#3562	C₂	1	4	yes	maximal, complemented
5	C₅₃×#3558	C₂	1	2	yes	maximal, complemented
6	C₅₃×#3558	C₂	1	2	yes	maximal, complemented
7	C₅₃×#3553	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#3545	C₂	1	2	yes	maximal, complemented
9	C₅₃×#3542	C₂	1	4	yes	maximal, complemented
10	C₅₃×#3541	C₂	1	4	yes	maximal, complemented
11	C₅₃×#3537	C₂	1	4	yes	maximal, complemented
12	C₅₃×#3534	C₂	1	4	yes	maximal, complemented
13	C₅₃×#3534	C₂	1	4	yes	maximal, complemented
14	C₅₃×#3533	C₂	1	4	yes	maximal, complemented
15	C₅₃×#3529	C₂	1	2	yes	maximal, complemented
16	C₂×C₅₃×#562	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#3519	C₂	1	4	yes	maximal, complemented
18	C₅₃×#3514	C₂	1	2	yes	maximal, complemented
19	C₅₃×#3513	C₂	1	4	yes	maximal, complemented
20	C₅₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#3505	C₂	1	4	yes	maximal, complemented
22	C₅₃×#564	C₂²	1	1	yes	characteristic, complemented
23	C₅₃×#563	C₂²	1	4	yes	complemented
24	C₅₃×#563	C₂²	1	2	yes	complemented
25	C₅₃×#563	C₂²	1	4	yes	complemented
26	C₅₃×#562	C₂²	1	1	yes	characteristic, complemented
27	C₅₃×#562	C₂²	1	4	yes	complemented
28	C₅₃×#562	C₂²	1	4	yes	complemented
29	C₅₃×#562	C₂²	1	4	yes	complemented
30	C₅₃×#562	C₂²	1	1	yes	characteristic, complemented
31	C₅₃×#562	C₂²	1	2	yes	complemented
32	C₅₃×#562	C₂²	1	4	yes	complemented
33	C₅₃×#562	C₂²	1	4	yes	complemented
34	C₅₃×#562	C₂²	1	2	yes	complemented
35	C₅₃×#562	C₂²	1	4	yes	complemented
36	C₅₃×#562	C₂²	1	4	yes	complemented
37	C₅₃×#562	C₂²	1	2	yes	complemented
38	C₅₃×#562	C₂²	1	1	yes	characteristic, complemented
39	C₅₃×H(3,𝔽₄)	C₂²	1	2	yes	complemented
40	C₅₃×H(3,𝔽₄)	C₂²	1	2	yes	complemented
41	C₅₃×#560	C₂²	1	4	yes	complemented
42	C₅₃×#560	C₂²	1	4	yes	complemented
43	C₅₃×#560	C₂²	1	4	yes	complemented
44	C₅₃×#560	C₂²	1	4	yes	complemented
45	C₅₃×#560	C₂²	1	4	yes	complemented
46	C₅₃×#560	C₂²	1	4	yes	complemented
47	C₅₃×#559	C₂²	1	4	yes	complemented
48	C₅₃×#559	C₂²	1	2	yes	complemented
49	C₅₃×#559	C₂²	1	4	yes	complemented
50	C₅₃×#556	C₂²	1	2	yes	complemented
51	C₅₃×#556	C₂²	1	4	yes	complemented
52	C₅₃×#555	C₂²	1	4	yes	complemented
53	C₅₃×#555	C₂²	1	4	yes	complemented
54	C₅₃×#554	C₂²	1	4	yes	complemented
55	C₅₃×#554	C₂²	1	4	yes	complemented
56	C₅₃×#553	C₂²	1	4	yes	complemented
57	C₅₃×#553	C₂²	1	4	yes	complemented
58	C₅₃×#553	C₂²	1	4	yes	complemented
59	C₅₃×#553	C₂²	1	4	yes	complemented
60	C₅₃×#553	C₂²	1	4	yes	complemented
61	C₅₃×#553	C₂²	1	4	yes	complemented
62	C₅₃×#553	C₂²	1	4	yes	complemented
63	C₅₃×#553	C₂²	1	4	yes	complemented
64	C₅₃×#553	C₂²	1	4	yes	complemented
65	C₅₃×#553	C₂²	1	4	yes	complemented
66	C₅₃×#553	C₂²	1	4	yes	complemented
67	C₅₃×#553	C₂²	1	4	yes	complemented
68	C₅₃×#553	C₂²	1	4	yes	complemented
69	C₅₃×#553	C₂²	1	4	yes	complemented
70	C₅₃×#552	C₂²	1	4	yes	complemented
71	C₅₃×#552	C₂²	1	4	yes	complemented
72	C₅₃×#552	C₂²	1	4	yes	complemented
73	C₅₃×#552	C₂²	1	4	yes	complemented
74	C₅₃×#552	C₂²	1	4	yes	complemented
75	C₅₃×#552	C₂²	1	4	yes	complemented
76	C₅₃×#551	C₂²	1	4	yes	complemented
77	C₅₃×#551	C₂²	1	4	yes	complemented
78	C₅₃×#551	C₂²	1	4	yes	complemented
79	C₅₃×#551	C₂²	1	4	yes	complemented
80	C₅₃×#551	C₂²	1	4	yes	complemented
81	C₅₃×#551	C₂²	1	4	yes	complemented
82	C₅₃×#551	C₂²	1	4	yes	complemented
83	C₅₃×#551	C₂²	1	4	yes	complemented
84	C₅₃×#551	C₂²	1	4	yes	complemented
85	C₅₃×#551	C₂²	1	4	yes	complemented
86	C₅₃×#550	C₂²	1	4	yes	complemented
87	D₄×Q₈×C₅₃	C₂²	1	2	yes	complemented
88	C₅₃×#548	C₂²	1	2	yes	complemented
89	C₅₃×#548	C₂²	1	4	yes	complemented
90	C₅₃×#548	C₂²	1	2	yes	complemented
91	C₅₃×#548	C₂²	1	4	yes	complemented
92	C₅₃×#547	C₂²	1	4	yes	complemented
93	C₅₃×#547	C₂²	1	4	yes	complemented
94	C₅₃×#546	C₂²	1	4	yes	complemented
95	C₅₃×#546	C₂²	1	4	yes	complemented
96	C₅₃×#546	C₂²	1	4	yes	complemented
97	C₅₃×#546	C₂²	1	4	yes	complemented
98	C₅₃×#546	C₂²	1	4	yes	complemented
99	C₅₃×#546	C₂²	1	4	yes	complemented
100	C₅₃×#546	C₂²	1	2	yes	complemented
101	C₅₃×#546	C₂²	1	2	yes	complemented
102	C₅₃×#546	C₂²	1	4	yes	complemented
103	C₅₃×#546	C₂²	1	4	yes	complemented
104	C₅₃×#546	C₂²	1	4	yes	complemented
105	C₅₃×#546	C₂²	1	4	yes	complemented
106	C₅₃×#546	C₂²	1	4	yes	complemented
107	C₅₃×#546	C₂²	1	4	yes	complemented
108	C₅₃×#546	C₂²	1	4	yes	complemented
109	D₄²×C₅₃	C₂²	1	4	yes	complemented
110	D₄²×C₅₃	C₂²	1	2	yes	complemented
111	D₄²×C₅₃	C₂²	1	4	yes	complemented
112	D₄²×C₅₃	C₂²	1	4	yes	complemented
113	D₄²×C₅₃	C₂²	1	4	yes	complemented
114	D₄²×C₅₃	C₂²	1	4	yes	complemented
115	D₄²×C₅₃	C₂²	1	4	yes	complemented
116	C₅₃×#542	C₂²	1	4	yes	complemented
117	C₅₃×#542	C₂²	1	4	yes	complemented
118	C₅₃×#542	C₂²	1	4	yes	complemented
119	C₅₃×#542	C₂²	1	4	yes	complemented
120	C₅₃×#542	C₂²	1	4	yes	complemented
121	C₅₃×#542	C₂²	1	4	yes	complemented
122	C₅₃×#541	C₂²	1	2	yes	complemented
123	C₅₃×#541	C₂²	1	4	yes	complemented
124	C₅₃×#541	C₂²	1	4	yes	complemented
125	C₅₃×#540	C₂²	1	2	yes	complemented
126	C₅₃×#540	C₂²	1	4	yes	complemented
127	C₅₃×#540	C₂²	1	4	yes	complemented
128	C₅₃×#540	C₂²	1	4	yes	complemented
129	C₅₃×#540	C₂²	1	4	yes	complemented
130	C₅₃×#540	C₂²	1	4	yes	complemented
131	C₅₃×#540	C₂²	1	4	yes	complemented
132	C₅₃×#540	C₂²	1	4	yes	complemented
133	C₅₃×#539	C₂²	1	4	yes	complemented
134	C₅₃×#539	C₂²	1	4	yes	complemented
135	C₅₃×#539	C₂²	1	4	yes	complemented
136	C₅₃×#539	C₂²	1	4	yes	complemented
137	C₅₃×#539	C₂²	1	4	yes	complemented
138	C₅₃×#539	C₂²	1	4	yes	complemented
139	C₅₃×#539	C₂²	1	4	yes	complemented
140	C₅₃×#539	C₂²	1	4	yes	complemented
141	C₅₃×#539	C₂²	1	4	yes	complemented
142	C₅₃×#538	C₂²	1	4	yes	complemented
143	C₅₃×#538	C₂²	1	4	yes	complemented
144	C₅₃×#538	C₂²	1	4	yes	complemented
145	C₅₃×#538	C₂²	1	4	yes	complemented
146	C₅₃×#538	C₂²	1	4	yes	complemented
147	C₅₃×#538	C₂²	1	4	yes	complemented
148	C₅₃×#538	C₂²	1	4	yes	complemented
149	C₅₃×#538	C₂²	1	4	yes	complemented
150	C₅₃×#538	C₂²	1	4	yes	complemented
151	C₅₃×#538	C₂²	1	4	yes	complemented
152	C₅₃×#538	C₂²	1	4	yes	complemented
153	C₅₃×#538	C₂²	1	4	yes	complemented
154	C₅₃×#538	C₂²	1	4	yes	complemented
155	C₅₃×#538	C₂²	1	4	yes	complemented
156	C₅₃×#538	C₂²	1	4	yes	complemented
157	C₅₃×#538	C₂²	1	4	yes	complemented
158	C₅₃×#537	C₂²	1	2	yes	complemented
159	C₅₃×#537	C₂²	1	4	yes	complemented
160	C₅₃×#536	C₂²	1	4	yes	complemented
161	C₅₃×#535	C₂²	1	4	yes	complemented
162	C₅₃×#535	C₂²	1	4	yes	complemented
163	C₅₃×#535	C₂²	1	4	yes	complemented
164	C₅₃×#534	C₂²	1	4	yes	complemented
165	C₅₃×#534	C₂²	1	4	yes	complemented
166	C₅₃×#534	C₂²	1	4	yes	complemented
167	C₅₃×#534	C₂²	1	4	yes	complemented
168	C₅₃×#534	C₂²	1	4	yes	complemented
169	C₅₃×#534	C₂²	1	4	yes	complemented
170	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
171	C₅₃×#532	C₂²	1	2	yes	complemented
172	C₅₃×#532	C₂²	1	4	yes	complemented
173	C₅₃×#529	C₂²	1	4	yes	complemented
174	C₅₃×#529	C₂²	1	4	yes	complemented
175	C₅₃×#529	C₂²	1	2	yes	complemented
176	C₅₃×#529	C₂²	1	2	yes	complemented
177	C₅₃×#529	C₂²	1	4	yes	complemented
178	C₅₃×#529	C₂²	1	4	yes	complemented
179	C₅₃×#529	C₂²	1	2	yes	complemented
180	C₅₃×#529	C₂²	1	2	yes	complemented
181	C₅₃×#529	C₂²	1	2	yes	complemented
182	C₅₃×#529	C₂²	1	4	yes	complemented
183	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
184	C₂×#124×C₅₃	C₂²	1	2	yes	complemented
185	C₂×#124×C₅₃	C₂²	1	2	yes	complemented
186	C₅₃×#525	C₂²	1	4	yes	complemented
187	C₅₃×#525	C₂²	1	4	yes	complemented
188	C₅₃×#525	C₂²	1	4	yes	complemented
189	C₅₃×#525	C₂²	1	4	yes	complemented
190	C₅₃×#525	C₂²	1	4	yes	complemented
191	C₅₃×#525	C₂²	1	4	yes	complemented
192	C₂×#123×C₅₃	C₂²	1	4	yes	complemented
193	C₂×#123×C₅₃	C₂²	1	4	yes	complemented
194	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	4	yes	complemented
195	C₂×#121×C₅₃	C₂²	1	4	yes	complemented
196	C₂×#121×C₅₃	C₂²	1	4	yes	complemented
197	C₂×#121×C₅₃	C₂²	1	4	yes	complemented
198	C₅₃×#520	C₂²	1	2	yes	complemented
199	C₅₃×#518	C₂²	1	4	yes	complemented
200	C₅₃×#518	C₂²	1	4	yes	complemented
201	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×D₄×C₅₃	C₂²	1	4	yes	complemented
203	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
204	C₂×#41×C₅₃	C₂³	1	2	yes	—
205	C₂×#41×C₅₃	C₂³	1	2	yes	—
206	C₂×#41×C₅₃	C₂³	1	4	yes	—
207	C₂×#41×C₅₃	C₂³	1	4	yes	—
208	C₂×#41×C₅₃	C₂³	1	4	yes	—
209	C₂×#41×C₅₃	C₂³	1	4	yes	—
210	C₂×#41×C₅₃	C₂³	1	2	yes	—
211	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
212	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
213	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
214	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
215	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
216	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
217	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
218	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
219	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
220	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
221	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
222	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
223	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
224	C₂³×C₄×C₅₃	C₂³	1	4	yes	—
225	C₂³×C₄×C₅₃	C₂³	1	4	yes	—
226	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
227	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
228	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
229	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
230	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
231	#127×C₅₃	C₂³	1	1	yes	characteristic
232	#127×C₅₃	C₂³	1	2	yes	—
233	#127×C₅₃	C₂³	1	4	yes	—
234	#127×C₅₃	C₂³	1	4	yes	—
235	#127×C₅₃	C₂³	1	4	yes	—
236	#127×C₅₃	C₂³	1	4	yes	—
237	#126×C₅₃	C₂³	1	4	yes	—
238	#126×C₅₃	C₂³	1	4	yes	—
239	#126×C₅₃	C₂³	1	4	yes	—
240	#126×C₅₃	C₂³	1	4	yes	—
241	#126×C₅₃	C₂³	1	4	yes	—
242	#126×C₅₃	C₂³	1	4	yes	—
243	#126×C₅₃	C₂³	1	4	yes	—
244	#126×C₅₃	C₂³	1	4	yes	—
245	#126×C₅₃	C₂³	1	4	yes	—
246	#126×C₅₃	C₂³	1	4	yes	—
247	#126×C₅₃	C₂³	1	4	yes	—
248	#126×C₅₃	C₂³	1	4	yes	—
249	#126×C₅₃	C₂³	1	4	yes	—
250	#126×C₅₃	C₂³	1	4	yes	—
251	#126×C₅₃	C₂³	1	4	yes	—
252	#126×C₅₃	C₂³	1	4	yes	—
253	#126×C₅₃	C₂³	1	4	yes	—
254	#126×C₅₃	C₂³	1	4	yes	—
255	#126×C₅₃	C₂³	1	4	yes	—
256	#126×C₅₃	C₂³	1	4	yes	—
257	#126×C₅₃	C₂³	1	4	yes	—
258	#126×C₅₃	C₂³	1	4	yes	—
259	#126×C₅₃	C₂³	1	4	yes	—
260	#126×C₅₃	C₂³	1	4	yes	—
261	#126×C₅₃	C₂³	1	4	yes	—
262	#125×C₅₃	C₂³	1	1	yes	characteristic
263	#125×C₅₃	C₂³	1	1	yes	characteristic
264	#125×C₅₃	C₂³	1	4	yes	—
265	#125×C₅₃	C₂³	1	2	yes	—
266	#125×C₅₃	C₂³	1	2	yes	—
267	#125×C₅₃	C₂³	1	4	yes	—
268	#125×C₅₃	C₂³	1	4	yes	—
269	#125×C₅₃	C₂³	1	4	yes	—
270	#125×C₅₃	C₂³	1	4	yes	—
271	#125×C₅₃	C₂³	1	4	yes	—
272	#125×C₅₃	C₂³	1	4	yes	—
273	#125×C₅₃	C₂³	1	4	yes	—
274	#125×C₅₃	C₂³	1	4	yes	—
275	#125×C₅₃	C₂³	1	4	yes	—
276	#125×C₅₃	C₂³	1	4	yes	—
277	#125×C₅₃	C₂³	1	4	yes	—
278	#125×C₅₃	C₂³	1	4	yes	—
279	#124×C₅₃	C₂³	1	2	yes	—
280	#124×C₅₃	C₂³	1	2	yes	—
281	#124×C₅₃	C₂³	1	2	yes	—
282	#124×C₅₃	C₂³	1	4	yes	—
283	#124×C₅₃	C₂³	1	4	yes	—
284	#124×C₅₃	C₂³	1	2	yes	—
285	#124×C₅₃	C₂³	1	2	yes	—
286	#124×C₅₃	C₂³	1	2	yes	—
287	#124×C₅₃	C₂³	1	2	yes	—
288	#124×C₅₃	C₂³	1	4	yes	—
289	#124×C₅₃	C₂³	1	4	yes	—
290	#124×C₅₃	C₂³	1	2	yes	—
291	#124×C₅₃	C₂³	1	4	yes	—
292	#124×C₅₃	C₂³	1	4	yes	—
293	#124×C₅₃	C₂³	1	4	yes	—
294	#124×C₅₃	C₂³	1	4	yes	—
295	#124×C₅₃	C₂³	1	4	yes	—
296	#124×C₅₃	C₂³	1	4	yes	—
297	#124×C₅₃	C₂³	1	4	yes	—
298	#124×C₅₃	C₂³	1	4	yes	—
299	#124×C₅₃	C₂³	1	4	yes	—
300	#124×C₅₃	C₂³	1	4	yes	—
301	#124×C₅₃	C₂³	1	4	yes	—
302	#124×C₅₃	C₂³	1	4	yes	—
303	#124×C₅₃	C₂³	1	4	yes	—
304	#124×C₅₃	C₂³	1	4	yes	—
305	#124×C₅₃	C₂³	1	4	yes	—
306	#123×C₅₃	C₂³	1	4	yes	—
307	#123×C₅₃	C₂³	1	4	yes	—
308	#123×C₅₃	C₂³	1	4	yes	—
309	#123×C₅₃	C₂³	1	4	yes	—
310	#123×C₅₃	C₂³	1	4	yes	—
311	#123×C₅₃	C₂³	1	4	yes	—
312	#123×C₅₃	C₂³	1	4	yes	—
313	#123×C₅₃	C₂³	1	4	yes	—
314	#123×C₅₃	C₂³	1	4	yes	—
315	#123×C₅₃	C₂³	1	4	yes	—
316	#123×C₅₃	C₂³	1	4	yes	—
317	#123×C₅₃	C₂³	1	4	yes	—
318	#123×C₅₃	C₂³	1	4	yes	—
319	#123×C₅₃	C₂³	1	4	yes	—
320	#123×C₅₃	C₂³	1	4	yes	—
321	#123×C₅₃	C₂³	1	4	yes	—
322	#123×C₅₃	C₂³	1	4	yes	—
323	#123×C₅₃	C₂³	1	4	yes	—
324	#123×C₅₃	C₂³	1	4	yes	—
325	#123×C₅₃	C₂³	1	4	yes	—
326	#123×C₅₃	C₂³	1	4	yes	—
327	#123×C₅₃	C₂³	1	4	yes	—
328	#123×C₅₃	C₂³	1	4	yes	—
329	#123×C₅₃	C₂³	1	4	yes	—
330	#123×C₅₃	C₂³	1	4	yes	—
331	#123×C₅₃	C₂³	1	4	yes	—
332	#123×C₅₃	C₂³	1	4	yes	—
333	#123×C₅₃	C₂³	1	4	yes	—
334	#123×C₅₃	C₂³	1	4	yes	—
335	#123×C₅₃	C₂³	1	4	yes	—
336	#123×C₅₃	C₂³	1	4	yes	—
337	#123×C₅₃	C₂³	1	4	yes	—
338	#123×C₅₃	C₂³	1	4	yes	—
339	#123×C₅₃	C₂³	1	4	yes	—
340	#123×C₅₃	C₂³	1	4	yes	—
341	#123×C₅₃	C₂³	1	4	yes	—
342	#123×C₅₃	C₂³	1	4	yes	—
343	#123×C₅₃	C₂³	1	4	yes	—
344	#123×C₅₃	C₂³	1	4	yes	—
345	#123×C₅₃	C₂³	1	4	yes	—
346	#123×C₅₃	C₂³	1	4	yes	—
347	#123×C₅₃	C₂³	1	4	yes	—
348	#123×C₅₃	C₂³	1	4	yes	—
349	#123×C₅₃	C₂³	1	4	yes	—
350	#123×C₅₃	C₂³	1	4	yes	—
351	#123×C₅₃	C₂³	1	4	yes	—
352	#123×C₅₃	C₂³	1	4	yes	—
353	#123×C₅₃	C₂³	1	4	yes	—
354	#123×C₅₃	C₂³	1	4	yes	—
355	#123×C₅₃	C₂³	1	4	yes	—
356	#123×C₅₃	C₂³	1	4	yes	—
357	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
358	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
359	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
360	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
361	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
362	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
363	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
364	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
365	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
366	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
367	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
368	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
369	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
370	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
371	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
372	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
373	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
374	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
375	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
376	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
377	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
378	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
379	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
380	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
381	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
382	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
383	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
384	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
385	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
386	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
387	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
388	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
389	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
390	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
391	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
392	#121×C₅₃	C₂³	1	4	yes	—
393	#121×C₅₃	C₂³	1	4	yes	—
394	#121×C₅₃	C₂³	1	4	yes	—
395	#121×C₅₃	C₂³	1	4	yes	—
396	#121×C₅₃	C₂³	1	4	yes	—
397	#121×C₅₃	C₂³	1	4	yes	—
398	#121×C₅₃	C₂³	1	4	yes	—
399	#121×C₅₃	C₂³	1	4	yes	—
400	#121×C₅₃	C₂³	1	4	yes	—
401	#121×C₅₃	C₂³	1	4	yes	—
402	#121×C₅₃	C₂³	1	4	yes	—
403	#121×C₅₃	C₂³	1	4	yes	—
404	#121×C₅₃	C₂³	1	4	yes	—
405	#121×C₅₃	C₂³	1	4	yes	—
406	#121×C₅₃	C₂³	1	4	yes	—
407	#121×C₅₃	C₂³	1	4	yes	—
408	#121×C₅₃	C₂³	1	4	yes	—
409	#121×C₅₃	C₂³	1	4	yes	—
410	#121×C₅₃	C₂³	1	4	yes	—
411	#121×C₅₃	C₂³	1	4	yes	—
412	#121×C₅₃	C₂³	1	4	yes	—
413	#121×C₅₃	C₂³	1	4	yes	—
414	#121×C₅₃	C₂³	1	4	yes	—
415	#121×C₅₃	C₂³	1	4	yes	—
416	#121×C₅₃	C₂³	1	4	yes	—
417	#121×C₅₃	C₂³	1	4	yes	—
418	#121×C₅₃	C₂³	1	4	yes	—
419	#121×C₅₃	C₂³	1	4	yes	—
420	#121×C₅₃	C₂³	1	4	yes	—
421	#121×C₅₃	C₂³	1	4	yes	—
422	#121×C₅₃	C₂³	1	4	yes	—
423	#121×C₅₃	C₂³	1	2	yes	—
424	#121×C₅₃	C₂³	1	2	yes	—
425	#121×C₅₃	C₂³	1	2	yes	—
426	#121×C₅₃	C₂³	1	4	yes	—
427	#121×C₅₃	C₂³	1	4	yes	—
428	#121×C₅₃	C₂³	1	2	yes	—
429	#121×C₅₃	C₂³	1	2	yes	—
430	#121×C₅₃	C₂³	1	4	yes	—
431	#121×C₅₃	C₂³	1	4	yes	—
432	#121×C₅₃	C₂³	1	4	yes	—
433	#121×C₅₃	C₂³	1	4	yes	—
434	#121×C₅₃	C₂³	1	4	yes	—
435	#121×C₅₃	C₂³	1	4	yes	—
436	#121×C₅₃	C₂³	1	4	yes	—
437	#121×C₅₃	C₂³	1	4	yes	—
438	#121×C₅₃	C₂³	1	4	yes	—
439	#121×C₅₃	C₂³	1	4	yes	—
440	#121×C₅₃	C₂³	1	4	yes	—
441	#121×C₅₃	C₂³	1	4	yes	—
442	#121×C₅₃	C₂³	1	4	yes	—
443	#121×C₅₃	C₂³	1	4	yes	—
444	#121×C₅₃	C₂³	1	4	yes	—
445	#121×C₅₃	C₂³	1	4	yes	—
446	#121×C₅₃	C₂³	1	4	yes	—
447	#121×C₅₃	C₂³	1	4	yes	—
448	#121×C₅₃	C₂³	1	4	yes	—
449	#121×C₅₃	C₂³	1	4	yes	—
450	#121×C₅₃	C₂³	1	4	yes	—
451	#121×C₅₃	C₂³	1	4	yes	—
452	#121×C₅₃	C₂³	1	4	yes	—
453	#121×C₅₃	C₂³	1	4	yes	—
454	#121×C₅₃	C₂³	1	4	yes	—
455	#121×C₅₃	C₂³	1	4	yes	—
456	#120×C₅₃	C₂³	1	4	yes	—
457	#120×C₅₃	C₂³	1	4	yes	—
458	#120×C₅₃	C₂³	1	4	yes	—
459	#120×C₅₃	C₂³	1	4	yes	—
460	#120×C₅₃	C₂³	1	4	yes	—
461	#120×C₅₃	C₂³	1	4	yes	—
462	#120×C₅₃	C₂³	1	4	yes	—
463	#120×C₅₃	C₂³	1	4	yes	—
464	#120×C₅₃	C₂³	1	4	yes	—
465	#120×C₅₃	C₂³	1	4	yes	—
466	#120×C₅₃	C₂³	1	4	yes	—
467	#120×C₅₃	C₂³	1	4	yes	—
468	#120×C₅₃	C₂³	1	4	yes	—
469	#120×C₅₃	C₂³	1	4	yes	—
470	#120×C₅₃	C₂³	1	4	yes	—
471	#120×C₅₃	C₂³	1	4	yes	—
472	#120×C₅₃	C₂³	1	4	yes	—
473	#120×C₅₃	C₂³	1	4	yes	—
474	#120×C₅₃	C₂³	1	4	yes	—
475	#120×C₅₃	C₂³	1	4	yes	—
476	#120×C₅₃	C₂³	1	4	yes	—
477	#120×C₅₃	C₂³	1	4	yes	—
478	#120×C₅₃	C₂³	1	4	yes	—
479	#120×C₅₃	C₂³	1	4	yes	—
480	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
481	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
482	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
483	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
484	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
485	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
486	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
487	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
488	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
489	C₄×D₄×C₅₃	C₂³	1	4	yes	—
490	C₄×D₄×C₅₃	C₂³	1	4	yes	—
491	C₄×D₄×C₅₃	C₂³	1	4	yes	—
492	C₄×D₄×C₅₃	C₂³	1	4	yes	—
493	C₄×D₄×C₅₃	C₂³	1	4	yes	—
494	C₄×D₄×C₅₃	C₂³	1	4	yes	—
495	C₄×D₄×C₅₃	C₂³	1	4	yes	—
496	C₄×D₄×C₅₃	C₂³	1	4	yes	—
497	C₄×D₄×C₅₃	C₂³	1	2	yes	—
498	C₄×D₄×C₅₃	C₂³	1	2	yes	—
499	C₄×D₄×C₅₃	C₂³	1	2	yes	—
500	C₄×D₄×C₅₃	C₂³	1	4	yes	—
501	C₄×D₄×C₅₃	C₂³	1	4	yes	—
502	C₄×D₄×C₅₃	C₂³	1	4	yes	—
503	C₄×D₄×C₅₃	C₂³	1	4	yes	—
504	C₄×D₄×C₅₃	C₂³	1	4	yes	—
505	C₄×D₄×C₅₃	C₂³	1	4	yes	—
506	C₄×D₄×C₅₃	C₂³	1	4	yes	—
507	C₄×D₄×C₅₃	C₂³	1	4	yes	—
508	C₄×D₄×C₅₃	C₂³	1	4	yes	—
509	C₄×D₄×C₅₃	C₂³	1	4	yes	—
510	C₄×D₄×C₅₃	C₂³	1	4	yes	—
511	C₄×D₄×C₅₃	C₂³	1	4	yes	—
512	C₄×D₄×C₅₃	C₂³	1	2	yes	—
513	C₄×D₄×C₅₃	C₂³	1	4	yes	—
514	C₄×D₄×C₅₃	C₂³	1	2	yes	—
515	C₄×D₄×C₅₃	C₂³	1	4	yes	—
516	C₄×D₄×C₅₃	C₂³	1	2	yes	—
517	C₄×D₄×C₅₃	C₂³	1	4	yes	—
518	C₄×D₄×C₅₃	C₂³	1	4	yes	—
519	C₄×D₄×C₅₃	C₂³	1	4	yes	—
520	C₄×D₄×C₅₃	C₂³	1	4	yes	—
521	C₄×D₄×C₅₃	C₂³	1	4	yes	—
522	C₄×D₄×C₅₃	C₂³	1	4	yes	—
523	C₄×D₄×C₅₃	C₂³	1	4	yes	—
524	C₄×D₄×C₅₃	C₂³	1	4	yes	—
525	C₄×D₄×C₅₃	C₂³	1	4	yes	—
526	C₄×D₄×C₅₃	C₂³	1	2	yes	—
527	C₄×D₄×C₅₃	C₂³	1	4	yes	—
528	C₄×D₄×C₅₃	C₂³	1	4	yes	—
529	C₄×D₄×C₅₃	C₂³	1	4	yes	—
530	C₄×D₄×C₅₃	C₂³	1	4	yes	—
531	C₄×D₄×C₅₃	C₂³	1	4	yes	—
532	C₄×D₄×C₅₃	C₂³	1	4	yes	—
533	C₄×D₄×C₅₃	C₂³	1	2	yes	—
534	C₄×D₄×C₅₃	C₂³	1	4	yes	—
535	C₄×D₄×C₅₃	C₂³	1	4	yes	—
536	C₄×D₄×C₅₃	C₂³	1	4	yes	—
537	C₄×D₄×C₅₃	C₂³	1	4	yes	—
538	#117×C₅₃	C₂³	1	1	yes	characteristic
539	#117×C₅₃	C₂³	1	2	yes	—
540	#117×C₅₃	C₂³	1	4	yes	—
541	#117×C₅₃	C₂³	1	4	yes	—
542	#117×C₅₃	C₂³	1	4	yes	—
543	#117×C₅₃	C₂³	1	4	yes	—
544	#117×C₅₃	C₂³	1	4	yes	—
545	#117×C₅₃	C₂³	1	4	yes	—
546	#117×C₅₃	C₂³	1	4	yes	—
547	#117×C₅₃	C₂³	1	4	yes	—
548	#117×C₅₃	C₂³	1	4	yes	—
549	#117×C₅₃	C₂³	1	4	yes	—
550	#117×C₅₃	C₂³	1	4	yes	—
551	#117×C₅₃	C₂³	1	4	yes	—
552	#117×C₅₃	C₂³	1	4	yes	—
553	#117×C₅₃	C₂³	1	4	yes	—
554	#117×C₅₃	C₂³	1	4	yes	—
555	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
556	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
557	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
558	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
559	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
560	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
561	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
562	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
563	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
564	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
565	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
566	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
567	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
568	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
569	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
570	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
571	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
572	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
573	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
574	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
575	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
576	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
577	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
578	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
579	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
580	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
581	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
582	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
583	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
584	#41×C₅₃	—	4	2	no	—
585	#41×C₅₃	—	4	4	no	—
586	#41×C₅₃	—	8	2	no	—
587	#41×C₅₃	—	8	4	no	—
588	#41×C₅₃	—	8	4	no	—
589	#41×C₅₃	—	8	4	no	—
590	#41×C₅₃	—	8	4	no	—
591	#41×C₅₃	—	8	2	no	—
592	C₂×Q₈×C₅₃	—	8	2	no	—
593	C₂×Q₈×C₅₃	—	8	2	no	—
594	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
595	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
596	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
597	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
598	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
599	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
600	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
601	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
602	C₂×D₄×C₅₃	—	4	8	no	—
603	C₂×D₄×C₅₃	—	4	8	no	—
604	C₂×D₄×C₅₃	—	4	8	no	—
605	C₂×D₄×C₅₃	—	8	4	no	—
606	C₂×D₄×C₅₃	—	8	4	no	—
607	C₂×D₄×C₅₃	—	8	4	no	—
608	C₂×D₄×C₅₃	—	8	2	no	—
609	C₂×D₄×C₅₃	—	8	2	no	—
610	C₂×D₄×C₅₃	—	8	4	no	—
611	C₂×D₄×C₅₃	—	8	4	no	—
612	C₂×D₄×C₅₃	—	8	4	no	—
613	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
614	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
615	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
616	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
617	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
618	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
619	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
620	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
621	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
622	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
623	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
624	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
625	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
626	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
627	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
628	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
629	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
630	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
631	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
632	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
633	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
634	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
635	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
636	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
637	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
638	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
639	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
640	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
641	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
642	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
643	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
644	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
645	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
646	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
647	C₂²×C₄×C₅₃	—	8	4	no	—
648	C₂²×C₄×C₅₃	—	8	4	no	—
649	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
650	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
651	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
652	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
653	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
654	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
655	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
656	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
657	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
658	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
659	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
660	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
661	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
662	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
663	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
665	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
666	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
667	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
668	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
669	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
670	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
671	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
672	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
673	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
674	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
675	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
676	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
677	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
678	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
679	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
680	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
681	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
682	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
683	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
684	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
685	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
686	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
687	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
688	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
689	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
690	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
691	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
692	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
693	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
694	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
695	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
696	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
697	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
698	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
699	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
700	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
701	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
702	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
703	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
704	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
705	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
706	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
707	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
708	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
709	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
710	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
711	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
712	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
713	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
714	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
715	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
716	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
717	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
718	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
719	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
720	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
721	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
722	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
723	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
724	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
725	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
726	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
727	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
728	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
729	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
730	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
731	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
732	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
733	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
734	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
735	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
736	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
737	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
738	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
739	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
740	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
741	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
742	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
743	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
744	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
745	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
746	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
747	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
748	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
749	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
750	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
751	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
752	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
753	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
754	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
755	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
756	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
757	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
758	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
759	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
760	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
761	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
762	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
763	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
764	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
765	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
766	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
767	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
768	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
769	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
770	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
771	C₄²×C₅₃	C₂⁴	1	4	yes	—
772	C₄²×C₅₃	C₂⁴	1	4	yes	—
773	C₄²×C₅₃	C₂⁴	1	2	yes	—
774	C₄²×C₅₃	C₂⁴	1	2	yes	—
775	C₄²×C₅₃	C₂⁴	1	4	yes	—
776	C₄²×C₅₃	C₂⁴	1	2	yes	—
777	C₄²×C₅₃	C₂⁴	1	4	yes	—
778	C₄²×C₅₃	C₂⁴	1	2	yes	—
779	C₄²×C₅₃	C₂⁴	1	4	yes	—
780	C₄²×C₅₃	C₂⁴	1	4	yes	—
781	C₄²×C₅₃	C₂⁴	1	4	yes	—
782	C₄²×C₅₃	C₂⁴	1	4	yes	—
783	C₄²×C₅₃	C₂⁴	1	4	yes	—
784	C₂³×C₅₃	—	2	8	no	—
785	C₂³×C₅₃	—	4	4	no	—
786	C₂³×C₅₃	—	4	4	no	—
787	C₂³×C₅₃	—	4	4	no	—
788	C₂³×C₅₃	—	4	4	no	—
789	C₂³×C₅₃	—	4	4	no	—
790	C₂³×C₅₃	—	4	4	no	—
791	C₂³×C₅₃	—	4	4	no	—
792	C₂³×C₅₃	—	4	4	no	—
793	C₂³×C₅₃	—	4	4	no	—
794	C₂³×C₅₃	—	4	4	no	—
795	C₂³×C₅₃	—	4	4	no	—
796	C₂³×C₅₃	C₂⁵	1	2	yes	—
797	C₂³×C₅₃	C₂⁵	1	4	yes	—
798	C₂³×C₅₃	C₂⁵	1	4	yes	—
799	C₂³×C₅₃	C₂⁵	1	4	yes	—
800	C₂³×C₅₃	C₂⁵	1	4	yes	—
801	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
802	Q₈×C₅₃	—	4	2	no	—
803	Q₈×C₅₃	—	4	2	no	—
804	Q₈×C₅₃	—	4	4	no	—
805	Q₈×C₅₃	—	4	4	no	—
806	Q₈×C₅₃	—	4	2	no	—
807	Q₈×C₅₃	—	4	1	no	—
808	Q₈×C₅₃	—	4	2	no	—
809	Q₈×C₅₃	—	4	4	no	—
810	D₄×C₅₃	—	2	8	no	—
811	D₄×C₅₃	—	2	8	no	—
812	D₄×C₅₃	—	2	4	no	—
813	D₄×C₅₃	—	4	4	no	—
814	D₄×C₅₃	—	4	4	no	—
815	D₄×C₅₃	—	4	4	no	—
816	D₄×C₅₃	—	4	4	no	—
817	D₄×C₅₃	—	4	4	no	—
818	D₄×C₅₃	—	4	4	no	—
819	D₄×C₅₃	—	4	4	no	—
820	D₄×C₅₃	—	4	4	no	—
821	D₄×C₅₃	—	4	4	no	—
822	D₄×C₅₃	—	4	4	no	—
823	D₄×C₅₃	—	4	4	no	—
824	D₄×C₅₃	—	4	4	no	—
825	D₄×C₅₃	—	4	4	no	—
826	D₄×C₅₃	—	4	4	no	—
827	D₄×C₅₃	—	4	2	no	—
828	D₄×C₅₃	—	4	4	no	—
829	D₄×C₅₃	—	4	4	no	—
830	D₄×C₅₃	—	4	4	no	—
831	D₄×C₅₃	—	4	4	no	—
832	D₄×C₅₃	—	4	4	no	—
833	D₄×C₅₃	—	4	4	no	—
834	D₄×C₅₃	—	4	4	no	—
835	D₄×C₅₃	—	4	4	no	—
836	D₄×C₅₃	—	4	2	no	—
837	D₄×C₅₃	—	4	4	no	—
838	D₄×C₅₃	—	4	2	no	—
839	D₄×C₅₃	—	4	4	no	—
840	D₄×C₅₃	—	4	1	no	—
841	D₄×C₅₃	—	4	2	no	—
842	D₄×C₅₃	—	4	4	no	—
843	D₄×C₅₃	—	4	4	no	—
844	C₂×C₄×C₅₃	—	2	2	no	—
845	C₂×C₄×C₅₃	—	4	4	no	—
846	C₂×C₄×C₅₃	—	4	4	no	—
847	C₂×C₄×C₅₃	—	4	4	no	—
848	C₂×C₄×C₅₃	—	4	4	no	—
849	C₂×C₄×C₅₃	—	4	4	no	—
850	C₂×C₄×C₅₃	—	4	4	no	—
851	C₂×C₄×C₅₃	—	4	4	no	—
852	C₂×C₄×C₅₃	—	4	4	no	—
853	C₂×C₄×C₅₃	—	4	4	no	—
854	C₂×C₄×C₅₃	—	4	4	no	—
855	C₂×C₄×C₅₃	—	4	4	no	—
856	C₂×C₄×C₅₃	—	4	4	no	—
857	C₂×C₄×C₅₃	—	4	4	no	—
858	C₂×C₄×C₅₃	—	4	4	no	—
859	C₂×C₄×C₅₃	—	4	2	no	—
860	C₂×C₄×C₅₃	—	4	2	no	—
861	C₂×C₄×C₅₃	—	4	4	no	—
862	C₂×C₄×C₅₃	—	4	4	no	—
863	C₂×C₄×C₅₃	—	4	4	no	—
864	C₂×C₄×C₅₃	—	4	4	no	—
865	C₂×C₄×C₅₃	—	4	4	no	—
866	C₂×C₄×C₅₃	—	4	2	no	—
867	C₂×C₄×C₅₃	—	4	2	no	—
868	C₂×C₄×C₅₃	—	4	4	no	—
869	C₂×C₄×C₅₃	—	4	4	no	—
870	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
871	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
872	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
873	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
874	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
875	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
876	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
877	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
878	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
879	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
880	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
881	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
882	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
883	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
884	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
885	#63055	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
886	C₂²×C₅₃	—	2	2	no	—
887	C₂²×C₅₃	—	2	4	no	—
888	C₂²×C₅₃	—	2	4	no	—
889	C₂²×C₅₃	—	2	2	no	—
890	C₂²×C₅₃	—	2	4	no	—
891	C₂²×C₅₃	—	2	4	no	—
892	C₂²×C₅₃	—	2	4	no	—
893	C₂²×C₅₃	—	2	4	no	—
894	C₂²×C₅₃	—	2	2	no	—
895	C₂²×C₅₃	—	2	4	no	—
896	C₂²×C₅₃	—	2	4	no	—
897	C₂²×C₅₃	—	2	4	no	—
898	C₂²×C₅₃	—	2	4	no	—
899	C₂²×C₅₃	—	2	4	no	—
900	C₂²×C₅₃	—	2	2	no	—
901	C₂²×C₅₃	—	2	4	no	—
902	C₂²×C₅₃	—	8	8	no	—
903	C₂²×C₅₃	—	8	8	no	—
904	C₂²×C₅₃	—	16	4	no	—
905	C₂²×C₅₃	—	16	4	no	—
906	C₂²×C₅₃	#585	1	2	yes	—
907	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
908	C₄×C₅₃	—	2	1	no	—
909	C₄×C₅₃	—	2	1	no	—
910	C₄×C₅₃	—	2	4	no	—
911	C₄×C₅₃	—	2	2	no	—
912	C₄×C₅₃	—	2	4	no	—
913	C₄×C₅₃	—	2	2	no	—
914	C₄×C₅₃	—	2	4	no	—
915	C₄×C₅₃	—	2	4	no	—
916	C₄×C₅₃	—	2	4	no	—
917	C₄×C₅₃	—	2	4	no	—
918	C₄×C₅₃	—	2	4	no	—
919	C₄×C₅₃	—	2	2	no	—
920	C₄×C₅₃	—	2	2	no	—
921	C₄×C₅₃	—	2	2	no	—
922	C₄×C₅₃	—	2	4	no	—
923	#3567	C₂×C₅₃	1	2	yes	complemented
924	#3566	C₂×C₅₃	1	4	yes	complemented
925	#3566	C₂×C₅₃	1	4	yes	complemented
926	#3562	C₂×C₅₃	1	4	yes	complemented
927	#3558	C₂×C₅₃	1	2	yes	complemented
928	#3558	C₂×C₅₃	1	2	yes	complemented
929	#3553	C₂×C₅₃	1	1	yes	characteristic, complemented
930	#3545	C₂×C₅₃	1	2	yes	complemented
931	#3542	C₂×C₅₃	1	4	yes	complemented
932	#3541	C₂×C₅₃	1	4	yes	complemented
933	#3537	C₂×C₅₃	1	4	yes	complemented
934	#3534	C₂×C₅₃	1	4	yes	complemented
935	#3534	C₂×C₅₃	1	4	yes	complemented
936	#3533	C₂×C₅₃	1	4	yes	complemented
937	#3529	C₂×C₅₃	1	2	yes	complemented
938	C₂×#562	C₂×C₅₃	1	1	yes	characteristic, complemented
939	#3519	C₂×C₅₃	1	4	yes	complemented
940	#3514	C₂×C₅₃	1	2	yes	complemented
941	#3513	C₂×C₅₃	1	4	yes	complemented
942	#3512	C₂×C₅₃	1	1	yes	characteristic, complemented
943	#3505	C₂×C₅₃	1	4	yes	complemented
944	C₂×C₅₃	—	2	2	no	—
945	C₂×C₅₃	—	4	4	no	—
946	C₂×C₅₃	—	4	4	no	—
947	C₂×C₅₃	—	4	4	no	—
948	C₂×C₅₃	—	4	4	no	—
949	C₂×C₅₃	—	4	2	no	—
950	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
951	C₂×C₅₃	H(7,𝔽₂)	1	2	yes	—
952	#564	C₂²×C₅₃	1	1	yes	characteristic, complemented
953	#563	C₂²×C₅₃	1	4	yes	complemented
954	#563	C₂²×C₅₃	1	2	yes	complemented
955	#563	C₂²×C₅₃	1	4	yes	complemented
956	#562	C₂²×C₅₃	1	1	yes	characteristic, complemented
957	#562	C₂²×C₅₃	1	4	yes	complemented
958	#562	C₂²×C₅₃	1	4	yes	complemented
959	#562	C₂²×C₅₃	1	4	yes	complemented
960	#562	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#562	C₂²×C₅₃	1	2	yes	complemented
962	#562	C₂²×C₅₃	1	4	yes	complemented
963	#562	C₂²×C₅₃	1	4	yes	complemented
964	#562	C₂²×C₅₃	1	2	yes	complemented
965	#562	C₂²×C₅₃	1	4	yes	complemented
966	#562	C₂²×C₅₃	1	4	yes	complemented
967	#562	C₂²×C₅₃	1	2	yes	complemented
968	#562	C₂²×C₅₃	1	1	yes	characteristic, complemented
969	H(3,𝔽₄)	C₂²×C₅₃	1	2	yes	complemented
970	H(3,𝔽₄)	C₂²×C₅₃	1	2	yes	complemented
971	#560	C₂²×C₅₃	1	4	yes	complemented
972	#560	C₂²×C₅₃	1	4	yes	complemented
973	#560	C₂²×C₅₃	1	4	yes	complemented
974	#560	C₂²×C₅₃	1	4	yes	complemented
975	#560	C₂²×C₅₃	1	4	yes	complemented
976	#560	C₂²×C₅₃	1	4	yes	complemented
977	#559	C₂²×C₅₃	1	4	yes	complemented
978	#559	C₂²×C₅₃	1	2	yes	complemented
979	#559	C₂²×C₅₃	1	4	yes	complemented
980	#556	C₂²×C₅₃	1	2	yes	complemented
981	#556	C₂²×C₅₃	1	4	yes	complemented
982	#555	C₂²×C₅₃	1	4	yes	complemented
983	#555	C₂²×C₅₃	1	4	yes	complemented
984	#554	C₂²×C₅₃	1	4	yes	complemented
985	#554	C₂²×C₅₃	1	4	yes	complemented
986	#553	C₂²×C₅₃	1	4	yes	complemented
987	#553	C₂²×C₅₃	1	4	yes	complemented
988	#553	C₂²×C₅₃	1	4	yes	complemented
989	#553	C₂²×C₅₃	1	4	yes	complemented
990	#553	C₂²×C₅₃	1	4	yes	complemented
991	#553	C₂²×C₅₃	1	4	yes	complemented
992	#553	C₂²×C₅₃	1	4	yes	complemented
993	#553	C₂²×C₅₃	1	4	yes	complemented
994	#553	C₂²×C₅₃	1	4	yes	complemented
995	#553	C₂²×C₅₃	1	4	yes	complemented
996	#553	C₂²×C₅₃	1	4	yes	complemented
997	#553	C₂²×C₅₃	1	4	yes	complemented
998	#553	C₂²×C₅₃	1	4	yes	complemented
999	#553	C₂²×C₅₃	1	4	yes	complemented
1000	#552	C₂²×C₅₃	1	4	yes	complemented
1001	#552	C₂²×C₅₃	1	4	yes	complemented
1002	#552	C₂²×C₅₃	1	4	yes	complemented
1003	#552	C₂²×C₅₃	1	4	yes	complemented
1004	#552	C₂²×C₅₃	1	4	yes	complemented
1005	#552	C₂²×C₅₃	1	4	yes	complemented
1006	#551	C₂²×C₅₃	1	4	yes	complemented
1007	#551	C₂²×C₅₃	1	4	yes	complemented
1008	#551	C₂²×C₅₃	1	4	yes	complemented
1009	#551	C₂²×C₅₃	1	4	yes	complemented
1010	#551	C₂²×C₅₃	1	4	yes	complemented
1011	#551	C₂²×C₅₃	1	4	yes	complemented
1012	#551	C₂²×C₅₃	1	4	yes	complemented
1013	#551	C₂²×C₅₃	1	4	yes	complemented
1014	#551	C₂²×C₅₃	1	4	yes	complemented
1015	#551	C₂²×C₅₃	1	4	yes	complemented
1016	#550	C₂²×C₅₃	1	4	yes	complemented
1017	D₄×Q₈	C₂²×C₅₃	1	2	yes	complemented
1018	#548	C₂²×C₅₃	1	2	yes	complemented
1019	#548	C₂²×C₅₃	1	4	yes	complemented
1020	#548	C₂²×C₅₃	1	2	yes	complemented
1021	#548	C₂²×C₅₃	1	4	yes	complemented
1022	#547	C₂²×C₅₃	1	4	yes	complemented
1023	#547	C₂²×C₅₃	1	4	yes	complemented
1024	#546	C₂²×C₅₃	1	4	yes	complemented
1025	#546	C₂²×C₅₃	1	4	yes	complemented
1026	#546	C₂²×C₅₃	1	4	yes	complemented
1027	#546	C₂²×C₅₃	1	4	yes	complemented
1028	#546	C₂²×C₅₃	1	4	yes	complemented
1029	#546	C₂²×C₅₃	1	4	yes	complemented
1030	#546	C₂²×C₅₃	1	2	yes	complemented
1031	#546	C₂²×C₅₃	1	2	yes	complemented
1032	#546	C₂²×C₅₃	1	4	yes	complemented
1033	#546	C₂²×C₅₃	1	4	yes	complemented
1034	#546	C₂²×C₅₃	1	4	yes	complemented
1035	#546	C₂²×C₅₃	1	4	yes	complemented
1036	#546	C₂²×C₅₃	1	4	yes	complemented
1037	#546	C₂²×C₅₃	1	4	yes	complemented
1038	#546	C₂²×C₅₃	1	4	yes	complemented
1039	D₄²	C₂²×C₅₃	1	4	yes	complemented
1040	D₄²	C₂²×C₅₃	1	2	yes	complemented
1041	D₄²	C₂²×C₅₃	1	4	yes	complemented
1042	D₄²	C₂²×C₅₃	1	4	yes	complemented
1043	D₄²	C₂²×C₅₃	1	4	yes	complemented
1044	D₄²	C₂²×C₅₃	1	4	yes	complemented
1045	D₄²	C₂²×C₅₃	1	4	yes	complemented
1046	#542	C₂²×C₅₃	1	4	yes	complemented
1047	#542	C₂²×C₅₃	1	4	yes	complemented
1048	#542	C₂²×C₅₃	1	4	yes	complemented
1049	#542	C₂²×C₅₃	1	4	yes	complemented
1050	#542	C₂²×C₅₃	1	4	yes	complemented
1051	#542	C₂²×C₅₃	1	4	yes	complemented
1052	#541	C₂²×C₅₃	1	2	yes	complemented
1053	#541	C₂²×C₅₃	1	4	yes	complemented
1054	#541	C₂²×C₅₃	1	4	yes	complemented
1055	#540	C₂²×C₅₃	1	2	yes	complemented
1056	#540	C₂²×C₅₃	1	4	yes	complemented
1057	#540	C₂²×C₅₃	1	4	yes	complemented
1058	#540	C₂²×C₅₃	1	4	yes	complemented
1059	#540	C₂²×C₅₃	1	4	yes	complemented
1060	#540	C₂²×C₅₃	1	4	yes	complemented
1061	#540	C₂²×C₅₃	1	4	yes	complemented
1062	#540	C₂²×C₅₃	1	4	yes	complemented
1063	#539	C₂²×C₅₃	1	4	yes	complemented
1064	#539	C₂²×C₅₃	1	4	yes	complemented
1065	#539	C₂²×C₅₃	1	4	yes	complemented
1066	#539	C₂²×C₅₃	1	4	yes	complemented
1067	#539	C₂²×C₅₃	1	4	yes	complemented
1068	#539	C₂²×C₅₃	1	4	yes	complemented
1069	#539	C₂²×C₅₃	1	4	yes	complemented
1070	#539	C₂²×C₅₃	1	4	yes	complemented
1071	#539	C₂²×C₅₃	1	4	yes	complemented
1072	#538	C₂²×C₅₃	1	4	yes	complemented
1073	#538	C₂²×C₅₃	1	4	yes	complemented
1074	#538	C₂²×C₅₃	1	4	yes	complemented
1075	#538	C₂²×C₅₃	1	4	yes	complemented
1076	#538	C₂²×C₅₃	1	4	yes	complemented
1077	#538	C₂²×C₅₃	1	4	yes	complemented
1078	#538	C₂²×C₅₃	1	4	yes	complemented
1079	#538	C₂²×C₅₃	1	4	yes	complemented
1080	#538	C₂²×C₅₃	1	4	yes	complemented
1081	#538	C₂²×C₅₃	1	4	yes	complemented
1082	#538	C₂²×C₅₃	1	4	yes	complemented
1083	#538	C₂²×C₅₃	1	4	yes	complemented
1084	#538	C₂²×C₅₃	1	4	yes	complemented
1085	#538	C₂²×C₅₃	1	4	yes	complemented
1086	#538	C₂²×C₅₃	1	4	yes	complemented
1087	#538	C₂²×C₅₃	1	4	yes	complemented
1088	#537	C₂²×C₅₃	1	2	yes	complemented
1089	#537	C₂²×C₅₃	1	4	yes	complemented
1090	#536	C₂²×C₅₃	1	4	yes	complemented
1091	#535	C₂²×C₅₃	1	4	yes	complemented
1092	#535	C₂²×C₅₃	1	4	yes	complemented
1093	#535	C₂²×C₅₃	1	4	yes	complemented
1094	#534	C₂²×C₅₃	1	4	yes	complemented
1095	#534	C₂²×C₅₃	1	4	yes	complemented
1096	#534	C₂²×C₅₃	1	4	yes	complemented
1097	#534	C₂²×C₅₃	1	4	yes	complemented
1098	#534	C₂²×C₅₃	1	4	yes	complemented
1099	#534	C₂²×C₅₃	1	4	yes	complemented
1100	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1101	#532	C₂²×C₅₃	1	2	yes	complemented
1102	#532	C₂²×C₅₃	1	4	yes	complemented
1103	#529	C₂²×C₅₃	1	4	yes	complemented
1104	#529	C₂²×C₅₃	1	4	yes	complemented
1105	#529	C₂²×C₅₃	1	2	yes	complemented
1106	#529	C₂²×C₅₃	1	2	yes	complemented
1107	#529	C₂²×C₅₃	1	4	yes	complemented
1108	#529	C₂²×C₅₃	1	4	yes	complemented
1109	#529	C₂²×C₅₃	1	2	yes	complemented
1110	#529	C₂²×C₅₃	1	2	yes	complemented
1111	#529	C₂²×C₅₃	1	2	yes	complemented
1112	#529	C₂²×C₅₃	1	4	yes	complemented
1113	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic, complemented
1114	C₂×#124	C₂²×C₅₃	1	2	yes	complemented
1115	C₂×#124	C₂²×C₅₃	1	2	yes	complemented
1116	#525	C₂²×C₅₃	1	4	yes	complemented
1117	#525	C₂²×C₅₃	1	4	yes	complemented
1118	#525	C₂²×C₅₃	1	4	yes	complemented
1119	#525	C₂²×C₅₃	1	4	yes	complemented
1120	#525	C₂²×C₅₃	1	4	yes	complemented
1121	#525	C₂²×C₅₃	1	4	yes	complemented
1122	C₂×#123	C₂²×C₅₃	1	4	yes	complemented
1123	C₂×#123	C₂²×C₅₃	1	4	yes	complemented
1124	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	4	yes	complemented
1125	C₂×#121	C₂²×C₅₃	1	4	yes	complemented
1126	C₂×#121	C₂²×C₅₃	1	4	yes	complemented
1127	C₂×#121	C₂²×C₅₃	1	4	yes	complemented
1128	#520	C₂²×C₅₃	1	2	yes	complemented
1129	#518	C₂²×C₅₃	1	4	yes	complemented
1130	#518	C₂²×C₅₃	1	4	yes	complemented
1131	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1132	C₂×C₄×D₄	C₂²×C₅₃	1	4	yes	complemented
1133	C₅₃	#63055	1	1	yes	characteristic, direct product factor, Sylow
1134	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1135	C₂×#41	C₂³×C₅₃	1	2	yes	—
1136	C₂×#41	C₂³×C₅₃	1	2	yes	—
1137	C₂×#41	C₂³×C₅₃	1	4	yes	—
1138	C₂×#41	C₂³×C₅₃	1	4	yes	—
1139	C₂×#41	C₂³×C₅₃	1	4	yes	—
1140	C₂×#41	C₂³×C₅₃	1	4	yes	—
1141	C₂×#41	C₂³×C₅₃	1	2	yes	—
1142	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1143	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1144	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1145	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1146	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1147	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1148	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1149	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1150	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1151	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1152	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1153	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1154	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1155	C₂³×C₄	C₂³×C₅₃	1	4	yes	—
1156	C₂³×C₄	C₂³×C₅₃	1	4	yes	—
1157	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1158	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1159	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1160	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1161	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1162	#127	C₂³×C₅₃	1	1	yes	characteristic
1163	#127	C₂³×C₅₃	1	2	yes	—
1164	#127	C₂³×C₅₃	1	4	yes	—
1165	#127	C₂³×C₅₃	1	4	yes	—
1166	#127	C₂³×C₅₃	1	4	yes	—
1167	#127	C₂³×C₅₃	1	4	yes	—
1168	#126	C₂³×C₅₃	1	4	yes	—
1169	#126	C₂³×C₅₃	1	4	yes	—
1170	#126	C₂³×C₅₃	1	4	yes	—
1171	#126	C₂³×C₅₃	1	4	yes	—
1172	#126	C₂³×C₅₃	1	4	yes	—
1173	#126	C₂³×C₅₃	1	4	yes	—
1174	#126	C₂³×C₅₃	1	4	yes	—
1175	#126	C₂³×C₅₃	1	4	yes	—
1176	#126	C₂³×C₅₃	1	4	yes	—
1177	#126	C₂³×C₅₃	1	4	yes	—
1178	#126	C₂³×C₅₃	1	4	yes	—
1179	#126	C₂³×C₅₃	1	4	yes	—
1180	#126	C₂³×C₅₃	1	4	yes	—
1181	#126	C₂³×C₅₃	1	4	yes	—
1182	#126	C₂³×C₅₃	1	4	yes	—
1183	#126	C₂³×C₅₃	1	4	yes	—
1184	#126	C₂³×C₅₃	1	4	yes	—
1185	#126	C₂³×C₅₃	1	4	yes	—
1186	#126	C₂³×C₅₃	1	4	yes	—
1187	#126	C₂³×C₅₃	1	4	yes	—
1188	#126	C₂³×C₅₃	1	4	yes	—
1189	#126	C₂³×C₅₃	1	4	yes	—
1190	#126	C₂³×C₅₃	1	4	yes	—
1191	#126	C₂³×C₅₃	1	4	yes	—
1192	#126	C₂³×C₅₃	1	4	yes	—
1193	#125	C₂³×C₅₃	1	1	yes	characteristic
1194	#125	C₂³×C₅₃	1	1	yes	characteristic
1195	#125	C₂³×C₅₃	1	4	yes	—
1196	#125	C₂³×C₅₃	1	2	yes	—
1197	#125	C₂³×C₅₃	1	2	yes	—
1198	#125	C₂³×C₅₃	1	4	yes	—
1199	#125	C₂³×C₅₃	1	4	yes	—
1200	#125	C₂³×C₅₃	1	4	yes	—
1201	#125	C₂³×C₅₃	1	4	yes	—
1202	#125	C₂³×C₅₃	1	4	yes	—
1203	#125	C₂³×C₅₃	1	4	yes	—
1204	#125	C₂³×C₅₃	1	4	yes	—
1205	#125	C₂³×C₅₃	1	4	yes	—
1206	#125	C₂³×C₅₃	1	4	yes	—
1207	#125	C₂³×C₅₃	1	4	yes	—
1208	#125	C₂³×C₅₃	1	4	yes	—
1209	#125	C₂³×C₅₃	1	4	yes	—
1210	#124	C₂³×C₅₃	1	2	yes	—
1211	#124	C₂³×C₅₃	1	2	yes	—
1212	#124	C₂³×C₅₃	1	2	yes	—
1213	#124	C₂³×C₅₃	1	4	yes	—
1214	#124	C₂³×C₅₃	1	4	yes	—
1215	#124	C₂³×C₅₃	1	2	yes	—
1216	#124	C₂³×C₅₃	1	2	yes	—
1217	#124	C₂³×C₅₃	1	2	yes	—
1218	#124	C₂³×C₅₃	1	2	yes	—
1219	#124	C₂³×C₅₃	1	4	yes	—
1220	#124	C₂³×C₅₃	1	4	yes	—
1221	#124	C₂³×C₅₃	1	2	yes	—
1222	#124	C₂³×C₅₃	1	4	yes	—
1223	#124	C₂³×C₅₃	1	4	yes	—
1224	#124	C₂³×C₅₃	1	4	yes	—
1225	#124	C₂³×C₅₃	1	4	yes	—
1226	#124	C₂³×C₅₃	1	4	yes	—
1227	#124	C₂³×C₅₃	1	4	yes	—
1228	#124	C₂³×C₅₃	1	4	yes	—
1229	#124	C₂³×C₅₃	1	4	yes	—
1230	#124	C₂³×C₅₃	1	4	yes	—
1231	#124	C₂³×C₅₃	1	4	yes	—
1232	#124	C₂³×C₅₃	1	4	yes	—
1233	#124	C₂³×C₅₃	1	4	yes	—
1234	#124	C₂³×C₅₃	1	4	yes	—
1235	#124	C₂³×C₅₃	1	4	yes	—
1236	#124	C₂³×C₅₃	1	4	yes	—
1237	#123	C₂³×C₅₃	1	4	yes	—
1238	#123	C₂³×C₅₃	1	4	yes	—
1239	#123	C₂³×C₅₃	1	4	yes	—
1240	#123	C₂³×C₅₃	1	4	yes	—
1241	#123	C₂³×C₅₃	1	4	yes	—
1242	#123	C₂³×C₅₃	1	4	yes	—
1243	#123	C₂³×C₅₃	1	4	yes	—
1244	#123	C₂³×C₅₃	1	4	yes	—
1245	#123	C₂³×C₅₃	1	4	yes	—
1246	#123	C₂³×C₅₃	1	4	yes	—
1247	#123	C₂³×C₅₃	1	4	yes	—
1248	#123	C₂³×C₅₃	1	4	yes	—
1249	#123	C₂³×C₅₃	1	4	yes	—
1250	#123	C₂³×C₅₃	1	4	yes	—
1251	#123	C₂³×C₅₃	1	4	yes	—
1252	#123	C₂³×C₅₃	1	4	yes	—
1253	#123	C₂³×C₅₃	1	4	yes	—
1254	#123	C₂³×C₅₃	1	4	yes	—
1255	#123	C₂³×C₅₃	1	4	yes	—
1256	#123	C₂³×C₅₃	1	4	yes	—
1257	#123	C₂³×C₅₃	1	4	yes	—
1258	#123	C₂³×C₅₃	1	4	yes	—
1259	#123	C₂³×C₅₃	1	4	yes	—
1260	#123	C₂³×C₅₃	1	4	yes	—
1261	#123	C₂³×C₅₃	1	4	yes	—
1262	#123	C₂³×C₅₃	1	4	yes	—
1263	#123	C₂³×C₅₃	1	4	yes	—
1264	#123	C₂³×C₅₃	1	4	yes	—
1265	#123	C₂³×C₅₃	1	4	yes	—
1266	#123	C₂³×C₅₃	1	4	yes	—
1267	#123	C₂³×C₅₃	1	4	yes	—
1268	#123	C₂³×C₅₃	1	4	yes	—
1269	#123	C₂³×C₅₃	1	4	yes	—
1270	#123	C₂³×C₅₃	1	4	yes	—
1271	#123	C₂³×C₅₃	1	4	yes	—
1272	#123	C₂³×C₅₃	1	4	yes	—
1273	#123	C₂³×C₅₃	1	4	yes	—
1274	#123	C₂³×C₅₃	1	4	yes	—
1275	#123	C₂³×C₅₃	1	4	yes	—
1276	#123	C₂³×C₅₃	1	4	yes	—
1277	#123	C₂³×C₅₃	1	4	yes	—
1278	#123	C₂³×C₅₃	1	4	yes	—
1279	#123	C₂³×C₅₃	1	4	yes	—
1280	#123	C₂³×C₅₃	1	4	yes	—
1281	#123	C₂³×C₅₃	1	4	yes	—
1282	#123	C₂³×C₅₃	1	4	yes	—
1283	#123	C₂³×C₅₃	1	4	yes	—
1284	#123	C₂³×C₅₃	1	4	yes	—
1285	#123	C₂³×C₅₃	1	4	yes	—
1286	#123	C₂³×C₅₃	1	4	yes	—
1287	#123	C₂³×C₅₃	1	4	yes	—
1288	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1289	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1290	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1291	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1292	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1293	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1294	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1295	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1296	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1297	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1298	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1299	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1300	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1301	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1302	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1303	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1304	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1305	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1306	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1307	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1308	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1309	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1310	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1311	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1312	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1313	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1314	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1315	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1316	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1317	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1318	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1319	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1320	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1321	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1322	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1323	#121	C₂³×C₅₃	1	4	yes	—
1324	#121	C₂³×C₅₃	1	4	yes	—
1325	#121	C₂³×C₅₃	1	4	yes	—
1326	#121	C₂³×C₅₃	1	4	yes	—
1327	#121	C₂³×C₅₃	1	4	yes	—
1328	#121	C₂³×C₅₃	1	4	yes	—
1329	#121	C₂³×C₅₃	1	4	yes	—
1330	#121	C₂³×C₅₃	1	4	yes	—
1331	#121	C₂³×C₅₃	1	4	yes	—
1332	#121	C₂³×C₅₃	1	4	yes	—
1333	#121	C₂³×C₅₃	1	4	yes	—
1334	#121	C₂³×C₅₃	1	4	yes	—
1335	#121	C₂³×C₅₃	1	4	yes	—
1336	#121	C₂³×C₅₃	1	4	yes	—
1337	#121	C₂³×C₅₃	1	4	yes	—
1338	#121	C₂³×C₅₃	1	4	yes	—
1339	#121	C₂³×C₅₃	1	4	yes	—
1340	#121	C₂³×C₅₃	1	4	yes	—
1341	#121	C₂³×C₅₃	1	4	yes	—
1342	#121	C₂³×C₅₃	1	4	yes	—
1343	#121	C₂³×C₅₃	1	4	yes	—
1344	#121	C₂³×C₅₃	1	4	yes	—
1345	#121	C₂³×C₅₃	1	4	yes	—
1346	#121	C₂³×C₅₃	1	4	yes	—
1347	#121	C₂³×C₅₃	1	4	yes	—
1348	#121	C₂³×C₅₃	1	4	yes	—
1349	#121	C₂³×C₅₃	1	4	yes	—
1350	#121	C₂³×C₅₃	1	4	yes	—
1351	#121	C₂³×C₅₃	1	4	yes	—
1352	#121	C₂³×C₅₃	1	4	yes	—
1353	#121	C₂³×C₅₃	1	4	yes	—
1354	#121	C₂³×C₅₃	1	2	yes	—
1355	#121	C₂³×C₅₃	1	2	yes	—
1356	#121	C₂³×C₅₃	1	2	yes	—
1357	#121	C₂³×C₅₃	1	4	yes	—
1358	#121	C₂³×C₅₃	1	4	yes	—
1359	#121	C₂³×C₅₃	1	2	yes	—
1360	#121	C₂³×C₅₃	1	2	yes	—
1361	#121	C₂³×C₅₃	1	4	yes	—
1362	#121	C₂³×C₅₃	1	4	yes	—
1363	#121	C₂³×C₅₃	1	4	yes	—
1364	#121	C₂³×C₅₃	1	4	yes	—
1365	#121	C₂³×C₅₃	1	4	yes	—
1366	#121	C₂³×C₅₃	1	4	yes	—
1367	#121	C₂³×C₅₃	1	4	yes	—
1368	#121	C₂³×C₅₃	1	4	yes	—
1369	#121	C₂³×C₅₃	1	4	yes	—
1370	#121	C₂³×C₅₃	1	4	yes	—
1371	#121	C₂³×C₅₃	1	4	yes	—
1372	#121	C₂³×C₅₃	1	4	yes	—
1373	#121	C₂³×C₅₃	1	4	yes	—
1374	#121	C₂³×C₅₃	1	4	yes	—
1375	#121	C₂³×C₅₃	1	4	yes	—
1376	#121	C₂³×C₅₃	1	4	yes	—
1377	#121	C₂³×C₅₃	1	4	yes	—
1378	#121	C₂³×C₅₃	1	4	yes	—
1379	#121	C₂³×C₅₃	1	4	yes	—
1380	#121	C₂³×C₅₃	1	4	yes	—
1381	#121	C₂³×C₅₃	1	4	yes	—
1382	#121	C₂³×C₅₃	1	4	yes	—
1383	#121	C₂³×C₅₃	1	4	yes	—
1384	#121	C₂³×C₅₃	1	4	yes	—
1385	#121	C₂³×C₅₃	1	4	yes	—
1386	#121	C₂³×C₅₃	1	4	yes	—
1387	#120	C₂³×C₅₃	1	4	yes	—
1388	#120	C₂³×C₅₃	1	4	yes	—
1389	#120	C₂³×C₅₃	1	4	yes	—
1390	#120	C₂³×C₅₃	1	4	yes	—
1391	#120	C₂³×C₅₃	1	4	yes	—
1392	#120	C₂³×C₅₃	1	4	yes	—
1393	#120	C₂³×C₅₃	1	4	yes	—
1394	#120	C₂³×C₅₃	1	4	yes	—
1395	#120	C₂³×C₅₃	1	4	yes	—
1396	#120	C₂³×C₅₃	1	4	yes	—
1397	#120	C₂³×C₅₃	1	4	yes	—
1398	#120	C₂³×C₅₃	1	4	yes	—
1399	#120	C₂³×C₅₃	1	4	yes	—
1400	#120	C₂³×C₅₃	1	4	yes	—
1401	#120	C₂³×C₅₃	1	4	yes	—
1402	#120	C₂³×C₅₃	1	4	yes	—
1403	#120	C₂³×C₅₃	1	4	yes	—
1404	#120	C₂³×C₅₃	1	4	yes	—
1405	#120	C₂³×C₅₃	1	4	yes	—
1406	#120	C₂³×C₅₃	1	4	yes	—
1407	#120	C₂³×C₅₃	1	4	yes	—
1408	#120	C₂³×C₅₃	1	4	yes	—
1409	#120	C₂³×C₅₃	1	4	yes	—
1410	#120	C₂³×C₅₃	1	4	yes	—
1411	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1412	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1413	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1414	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1415	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1416	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1417	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1418	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1419	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1420	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1421	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1422	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1423	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1424	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1425	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1426	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1427	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1428	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1429	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1430	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1431	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1432	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1433	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1434	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1435	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1436	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1437	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1438	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1439	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1440	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1441	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1442	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1443	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1444	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1445	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1446	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1447	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1448	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1449	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1450	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1451	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1452	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1453	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1454	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1455	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1456	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1457	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1458	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1459	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1460	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1461	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1462	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1463	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1464	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1465	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1466	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1467	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1468	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1469	#117	C₂³×C₅₃	1	1	yes	characteristic
1470	#117	C₂³×C₅₃	1	2	yes	—
1471	#117	C₂³×C₅₃	1	4	yes	—
1472	#117	C₂³×C₅₃	1	4	yes	—
1473	#117	C₂³×C₅₃	1	4	yes	—
1474	#117	C₂³×C₅₃	1	4	yes	—
1475	#117	C₂³×C₅₃	1	4	yes	—
1476	#117	C₂³×C₅₃	1	4	yes	—
1477	#117	C₂³×C₅₃	1	4	yes	—
1478	#117	C₂³×C₅₃	1	4	yes	—
1479	#117	C₂³×C₅₃	1	4	yes	—
1480	#117	C₂³×C₅₃	1	4	yes	—
1481	#117	C₂³×C₅₃	1	4	yes	—
1482	#117	C₂³×C₅₃	1	4	yes	—
1483	#117	C₂³×C₅₃	1	4	yes	—
1484	#117	C₂³×C₅₃	1	4	yes	—
1485	#117	C₂³×C₅₃	1	4	yes	—
1486	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1487	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1488	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1489	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1490	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1491	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1492	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1493	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1494	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1495	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1496	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1497	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1498	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1499	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1500	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1501	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1502	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1503	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1504	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1505	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1506	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1507	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1508	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1509	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1510	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1511	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1512	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1513	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1514	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1515	#41	—	4	2	no	—
1516	#41	—	4	4	no	—
1517	#41	—	8	2	no	—
1518	#41	—	8	4	no	—
1519	#41	—	8	4	no	—
1520	#41	—	8	4	no	—
1521	#41	—	8	4	no	—
1522	#41	—	8	2	no	—
1523	C₂×Q₈	—	8	2	no	—
1524	C₂×Q₈	—	8	2	no	—
1525	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1526	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1527	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1528	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1529	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1530	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1531	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1532	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1533	C₂×D₄	—	4	8	no	—
1534	C₂×D₄	—	4	8	no	—
1535	C₂×D₄	—	4	8	no	—
1536	C₂×D₄	—	8	4	no	—
1537	C₂×D₄	—	8	4	no	—
1538	C₂×D₄	—	8	4	no	—
1539	C₂×D₄	—	8	2	no	—
1540	C₂×D₄	—	8	2	no	—
1541	C₂×D₄	—	8	4	no	—
1542	C₂×D₄	—	8	4	no	—
1543	C₂×D₄	—	8	4	no	—
1544	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1545	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1546	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1547	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1548	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1549	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1550	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1551	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1552	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1553	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1554	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1555	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1556	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1557	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1558	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1559	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1560	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1561	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1562	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1563	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1564	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1565	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1566	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1567	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1568	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1569	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1570	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1571	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1572	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1573	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1574	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1575	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1576	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1577	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1578	C₂²×C₄	—	8	4	no	—
1579	C₂²×C₄	—	8	4	no	—
1580	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1581	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1582	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1583	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1584	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1585	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1586	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1587	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1588	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1589	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1590	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1591	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1592	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1593	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1594	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1595	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1596	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1597	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1598	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1599	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1600	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1601	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1602	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1603	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1604	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1605	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1606	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1607	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1608	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1609	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1610	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1611	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1612	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1613	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1614	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1615	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1616	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1617	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1618	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1619	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1620	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1621	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1622	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1623	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1624	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1625	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1626	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1627	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1628	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1629	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1630	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1631	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1632	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1633	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1634	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1635	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1636	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1637	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1638	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1639	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1640	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1641	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1642	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1643	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1644	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1645	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1646	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1647	C₂²⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1648	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1649	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1650	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1651	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1652	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1653	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1654	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1655	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1656	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1657	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1658	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1659	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1660	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1661	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1662	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1663	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1664	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1665	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1666	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1667	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1668	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1669	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1670	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1671	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1672	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1673	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1674	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1675	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1676	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1677	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1678	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1679	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1680	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1681	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1682	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1683	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1684	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1685	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1686	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1687	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1688	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1689	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1690	C₂²⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1691	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1692	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1693	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1694	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1695	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1696	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1697	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1698	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1699	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1700	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1701	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1702	C₄²	C₂⁴×C₅₃	1	4	yes	—
1703	C₄²	C₂⁴×C₅₃	1	4	yes	—
1704	C₄²	C₂⁴×C₅₃	1	2	yes	—
1705	C₄²	C₂⁴×C₅₃	1	2	yes	—
1706	C₄²	C₂⁴×C₅₃	1	4	yes	—
1707	C₄²	C₂⁴×C₅₃	1	2	yes	—
1708	C₄²	C₂⁴×C₅₃	1	4	yes	—
1709	C₄²	C₂⁴×C₅₃	1	2	yes	—
1710	C₄²	C₂⁴×C₅₃	1	4	yes	—
1711	C₄²	C₂⁴×C₅₃	1	4	yes	—
1712	C₄²	C₂⁴×C₅₃	1	4	yes	—
1713	C₄²	C₂⁴×C₅₃	1	4	yes	—
1714	C₄²	C₂⁴×C₅₃	1	4	yes	—
1715	C₂³	—	2	8	no	—
1716	C₂³	—	4	4	no	—
1717	C₂³	—	4	4	no	—
1718	C₂³	—	4	4	no	—
1719	C₂³	—	4	4	no	—
1720	C₂³	—	4	4	no	—
1721	C₂³	—	4	4	no	—
1722	C₂³	—	4	4	no	—
1723	C₂³	—	4	4	no	—
1724	C₂³	—	4	4	no	—
1725	C₂³	—	4	4	no	—
1726	C₂³	—	4	4	no	—
1727	C₂³	C₂⁵×C₅₃	1	4	yes	—
1728	C₂³	C₂⁵×C₅₃	1	4	yes	—
1729	C₂³	C₂⁵×C₅₃	1	4	yes	—
1730	C₂³	C₂⁵×C₅₃	1	2	yes	—
1731	C₂³	C₂⁵×C₅₃	1	4	yes	—
1732	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1733	Q₈	—	4	2	no	—
1734	Q₈	—	4	2	no	—
1735	Q₈	—	4	4	no	—
1736	Q₈	—	4	4	no	—
1737	Q₈	—	4	2	no	—
1738	Q₈	—	4	1	no	—
1739	Q₈	—	4	2	no	—
1740	Q₈	—	4	4	no	—
1741	D₄	—	2	8	no	—
1742	D₄	—	2	8	no	—
1743	D₄	—	2	4	no	—
1744	D₄	—	4	4	no	—
1745	D₄	—	4	4	no	—
1746	D₄	—	4	4	no	—
1747	D₄	—	4	4	no	—
1748	D₄	—	4	4	no	—
1749	D₄	—	4	4	no	—
1750	D₄	—	4	4	no	—
1751	D₄	—	4	4	no	—
1752	D₄	—	4	4	no	—
1753	D₄	—	4	4	no	—
1754	D₄	—	4	4	no	—
1755	D₄	—	4	4	no	—
1756	D₄	—	4	4	no	—
1757	D₄	—	4	4	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	4	4	no	—
1760	D₄	—	4	4	no	—
1761	D₄	—	4	4	no	—
1762	D₄	—	4	4	no	—
1763	D₄	—	4	4	no	—
1764	D₄	—	4	4	no	—
1765	D₄	—	4	4	no	—
1766	D₄	—	4	4	no	—
1767	D₄	—	4	2	no	—
1768	D₄	—	4	4	no	—
1769	D₄	—	4	2	no	—
1770	D₄	—	4	4	no	—
1771	D₄	—	4	1	no	—
1772	D₄	—	4	2	no	—
1773	D₄	—	4	4	no	—
1774	D₄	—	4	4	no	—
1775	C₂×C₄	—	2	2	no	—
1776	C₂×C₄	—	4	4	no	—
1777	C₂×C₄	—	4	4	no	—
1778	C₂×C₄	—	4	4	no	—
1779	C₂×C₄	—	4	4	no	—
1780	C₂×C₄	—	4	4	no	—
1781	C₂×C₄	—	4	4	no	—
1782	C₂×C₄	—	4	4	no	—
1783	C₂×C₄	—	4	4	no	—
1784	C₂×C₄	—	4	4	no	—
1785	C₂×C₄	—	4	4	no	—
1786	C₂×C₄	—	4	4	no	—
1787	C₂×C₄	—	4	4	no	—
1788	C₂×C₄	—	4	4	no	—
1789	C₂×C₄	—	4	4	no	—
1790	C₂×C₄	—	4	2	no	—
1791	C₂×C₄	—	4	2	no	—
1792	C₂×C₄	—	4	4	no	—
1793	C₂×C₄	—	4	4	no	—
1794	C₂×C₄	—	4	4	no	—
1795	C₂×C₄	—	4	4	no	—
1796	C₂×C₄	—	4	4	no	—
1797	C₂×C₄	—	4	2	no	—
1798	C₂×C₄	—	4	2	no	—
1799	C₂×C₄	—	4	4	no	—
1800	C₂×C₄	—	4	4	no	—
1801	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1802	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
1803	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1804	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1805	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1806	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1807	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1808	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1809	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1810	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
1811	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1812	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1813	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1814	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1815	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1816	C₂²	—	2	2	no	—
1817	C₂²	—	2	4	no	—
1818	C₂²	—	2	4	no	—
1819	C₂²	—	2	2	no	—
1820	C₂²	—	2	4	no	—
1821	C₂²	—	2	4	no	—
1822	C₂²	—	2	4	no	—
1823	C₂²	—	2	4	no	—
1824	C₂²	—	2	2	no	—
1825	C₂²	—	2	4	no	—
1826	C₂²	—	2	4	no	—
1827	C₂²	—	2	4	no	—
1828	C₂²	—	2	4	no	—
1829	C₂²	—	2	4	no	—
1830	C₂²	—	2	2	no	—
1831	C₂²	—	2	4	no	—
1832	C₂²	—	8	8	no	—
1833	C₂²	—	8	8	no	—
1834	C₂²	—	16	4	no	—
1835	C₂²	—	16	4	no	—
1836	C₂²	C₅₃×#585	1	2	yes	—
1837	C₂²	C₂⁶×C₅₃	1	1	yes	characteristic
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	4	no	—
1841	C₄	—	2	2	no	—
1842	C₄	—	2	4	no	—
1843	C₄	—	2	2	no	—
1844	C₄	—	2	4	no	—
1845	C₄	—	2	4	no	—
1846	C₄	—	2	4	no	—
1847	C₄	—	2	4	no	—
1848	C₄	—	2	4	no	—
1849	C₄	—	2	2	no	—
1850	C₄	—	2	2	no	—
1851	C₄	—	2	2	no	—
1852	C₄	—	2	4	no	—
1853	C₂	—	2	2	no	—
1854	C₂	—	4	4	no	—
1855	C₂	—	4	4	no	—
1856	C₂	—	4	4	no	—
1857	C₂	—	4	4	no	—
1858	C₂	—	4	2	no	—
1859	C₂	C₂×C₅₃×#585	1	1	yes	characteristic
1860	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×#3567	C₂	semidirect
2. C₅₃×#3566	C₂	semidirect
3. C₅₃×#3566	C₂	semidirect
4. C₅₃×#3562	C₂	semidirect
5. C₅₃×#3558	C₂	semidirect
6. C₅₃×#3558	C₂	semidirect
7. C₅₃×#3553	C₂	semidirect
8. C₅₃×#3545	C₂	semidirect
9. C₅₃×#3542	C₂	semidirect
10. C₅₃×#3541	C₂	semidirect
11. C₅₃×#3537	C₂	semidirect
12. C₅₃×#3534	C₂	semidirect
13. C₅₃×#3534	C₂	semidirect
14. C₅₃×#3533	C₂	semidirect
15. C₅₃×#3529	C₂	semidirect
16. C₂×C₅₃×#562	C₂	semidirect
17. C₅₃×#3519	C₂	semidirect
18. C₅₃×#3514	C₂	semidirect
19. C₅₃×#3513	C₂	semidirect
20. C₅₃×#3512	C₂	semidirect
21. C₅₃×#3505	C₂	semidirect
22. C₅₃×#564	C₂²	semidirect
23. C₅₃×#563	C₂²	semidirect
24. C₅₃×#563	C₂²	semidirect
25. C₅₃×#563	C₂²	semidirect
26. C₅₃×#562	C₂²	semidirect
27. C₅₃×#562	C₂²	semidirect
28. C₅₃×#562	C₂²	semidirect
29. C₅₃×#562	C₂²	semidirect
30. C₅₃×#562	C₂²	semidirect
31. C₅₃×#562	C₂²	semidirect
32. C₅₃×#562	C₂²	semidirect
33. C₅₃×#562	C₂²	semidirect
34. C₅₃×#562	C₂²	semidirect
35. C₅₃×#562	C₂²	semidirect
36. C₅₃×#562	C₂²	semidirect
37. C₅₃×#562	C₂²	semidirect
38. C₅₃×#562	C₂²	semidirect
39. C₅₃×H(3,𝔽₄)	C₂²	semidirect
40. C₅₃×H(3,𝔽₄)	C₂²	semidirect
41. C₅₃×#560	C₂²	semidirect
42. C₅₃×#560	C₂²	semidirect
43. C₅₃×#560	C₂²	semidirect
44. C₅₃×#560	C₂²	semidirect
45. C₅₃×#560	C₂²	semidirect
46. C₅₃×#560	C₂²	semidirect
47. C₅₃×#559	C₂²	semidirect
48. C₅₃×#559	C₂²	semidirect
49. C₅₃×#559	C₂²	semidirect
50. C₅₃×#556	C₂²	semidirect
51. C₅₃×#556	C₂²	semidirect
52. C₅₃×#555	C₂²	semidirect
53. C₅₃×#555	C₂²	semidirect
54. C₅₃×#554	C₂²	semidirect
55. C₅₃×#554	C₂²	semidirect
56. C₅₃×#553	C₂²	semidirect
57. C₅₃×#553	C₂²	semidirect
58. C₅₃×#553	C₂²	semidirect
59. C₅₃×#553	C₂²	semidirect
60. C₅₃×#553	C₂²	semidirect
61. C₅₃×#553	C₂²	semidirect
62. C₅₃×#553	C₂²	semidirect
63. C₅₃×#553	C₂²	semidirect
64. C₅₃×#553	C₂²	semidirect
65. C₅₃×#553	C₂²	semidirect
66. C₅₃×#553	C₂²	semidirect
67. C₅₃×#553	C₂²	semidirect
68. C₅₃×#553	C₂²	semidirect
69. C₅₃×#553	C₂²	semidirect
70. C₅₃×#552	C₂²	semidirect
71. C₅₃×#552	C₂²	semidirect
72. C₅₃×#552	C₂²	semidirect
73. C₅₃×#552	C₂²	semidirect
74. C₅₃×#552	C₂²	semidirect
75. C₅₃×#552	C₂²	semidirect
76. C₅₃×#551	C₂²	semidirect
77. C₅₃×#551	C₂²	semidirect
78. C₅₃×#551	C₂²	semidirect
79. C₅₃×#551	C₂²	semidirect
80. C₅₃×#551	C₂²	semidirect
81. C₅₃×#551	C₂²	semidirect
82. C₅₃×#551	C₂²	semidirect
83. C₅₃×#551	C₂²	semidirect
84. C₅₃×#551	C₂²	semidirect
85. C₅₃×#551	C₂²	semidirect
86. C₅₃×#550	C₂²	semidirect
87. D₄×Q₈×C₅₃	C₂²	semidirect
88. C₅₃×#548	C₂²	semidirect
89. C₅₃×#548	C₂²	semidirect
90. C₅₃×#548	C₂²	semidirect
91. C₅₃×#548	C₂²	semidirect
92. C₅₃×#547	C₂²	semidirect
93. C₅₃×#547	C₂²	semidirect
94. C₅₃×#546	C₂²	semidirect
95. C₅₃×#546	C₂²	semidirect
96. C₅₃×#546	C₂²	semidirect
97. C₅₃×#546	C₂²	semidirect
98. C₅₃×#546	C₂²	semidirect
99. C₅₃×#546	C₂²	semidirect
100. C₅₃×#546	C₂²	semidirect
101. C₅₃×#546	C₂²	semidirect
102. C₅₃×#546	C₂²	semidirect
103. C₅₃×#546	C₂²	semidirect
104. C₅₃×#546	C₂²	semidirect
105. C₅₃×#546	C₂²	semidirect
106. C₅₃×#546	C₂²	semidirect
107. C₅₃×#546	C₂²	semidirect
108. C₅₃×#546	C₂²	semidirect
109. D₄²×C₅₃	C₂²	semidirect
110. D₄²×C₅₃	C₂²	semidirect
111. D₄²×C₅₃	C₂²	semidirect
112. D₄²×C₅₃	C₂²	semidirect
113. D₄²×C₅₃	C₂²	semidirect
114. D₄²×C₅₃	C₂²	semidirect
115. D₄²×C₅₃	C₂²	semidirect
116. C₅₃×#542	C₂²	semidirect
117. C₅₃×#542	C₂²	semidirect
118. C₅₃×#542	C₂²	semidirect
119. C₅₃×#542	C₂²	semidirect
120. C₅₃×#542	C₂²	semidirect
121. C₅₃×#542	C₂²	semidirect
122. C₅₃×#541	C₂²	semidirect
123. C₅₃×#541	C₂²	semidirect
124. C₅₃×#541	C₂²	semidirect
125. C₅₃×#540	C₂²	semidirect
126. C₅₃×#540	C₂²	semidirect
127. C₅₃×#540	C₂²	semidirect
128. C₅₃×#540	C₂²	semidirect
129. C₅₃×#540	C₂²	semidirect
130. C₅₃×#540	C₂²	semidirect
131. C₅₃×#540	C₂²	semidirect
132. C₅₃×#540	C₂²	semidirect
133. C₅₃×#539	C₂²	semidirect
134. C₅₃×#539	C₂²	semidirect
135. C₅₃×#539	C₂²	semidirect
136. C₅₃×#539	C₂²	semidirect
137. C₅₃×#539	C₂²	semidirect
138. C₅₃×#539	C₂²	semidirect
139. C₅₃×#539	C₂²	semidirect
140. C₅₃×#539	C₂²	semidirect
141. C₅₃×#539	C₂²	semidirect
142. C₅₃×#538	C₂²	semidirect
143. C₅₃×#538	C₂²	semidirect
144. C₅₃×#538	C₂²	semidirect
145. C₅₃×#538	C₂²	semidirect
146. C₅₃×#538	C₂²	semidirect
147. C₅₃×#538	C₂²	semidirect
148. C₅₃×#538	C₂²	semidirect
149. C₅₃×#538	C₂²	semidirect
150. C₅₃×#538	C₂²	semidirect
151. C₅₃×#538	C₂²	semidirect
152. C₅₃×#538	C₂²	semidirect
153. C₅₃×#538	C₂²	semidirect
154. C₅₃×#538	C₂²	semidirect
155. C₅₃×#538	C₂²	semidirect
156. C₅₃×#538	C₂²	semidirect
157. C₅₃×#538	C₂²	semidirect
158. C₅₃×#537	C₂²	semidirect
159. C₅₃×#537	C₂²	semidirect
160. C₅₃×#536	C₂²	semidirect
161. C₅₃×#535	C₂²	semidirect
162. C₅₃×#535	C₂²	semidirect
163. C₅₃×#535	C₂²	semidirect
164. C₅₃×#534	C₂²	semidirect
165. C₅₃×#534	C₂²	semidirect
166. C₅₃×#534	C₂²	semidirect
167. C₅₃×#534	C₂²	semidirect
168. C₅₃×#534	C₂²	semidirect
169. C₅₃×#534	C₂²	semidirect
170. C₅₃×#532	C₂²	semidirect
171. C₅₃×#532	C₂²	semidirect
172. C₅₃×#532	C₂²	semidirect
173. C₅₃×#529	C₂²	semidirect
174. C₅₃×#529	C₂²	semidirect
175. C₅₃×#529	C₂²	semidirect
176. C₅₃×#529	C₂²	semidirect
177. C₅₃×#529	C₂²	semidirect
178. C₅₃×#529	C₂²	semidirect
179. C₅₃×#529	C₂²	semidirect
180. C₅₃×#529	C₂²	semidirect
181. C₅₃×#529	C₂²	semidirect
182. C₅₃×#529	C₂²	semidirect
183. C₂×#125×C₅₃	C₂²	semidirect
184. C₂×#124×C₅₃	C₂²	semidirect
185. C₂×#124×C₅₃	C₂²	semidirect
186. C₅₃×#525	C₂²	semidirect
187. C₅₃×#525	C₂²	semidirect
188. C₅₃×#525	C₂²	semidirect
189. C₅₃×#525	C₂²	semidirect
190. C₅₃×#525	C₂²	semidirect
191. C₅₃×#525	C₂²	semidirect
192. C₂×#123×C₅₃	C₂²	semidirect
193. C₂×#123×C₅₃	C₂²	semidirect
194. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
195. C₂×#121×C₅₃	C₂²	semidirect
196. C₂×#121×C₅₃	C₂²	semidirect
197. C₂×#121×C₅₃	C₂²	semidirect
198. C₅₃×#520	C₂²	semidirect
199. C₅₃×#518	C₂²	semidirect
200. C₅₃×#518	C₂²	semidirect
201. C₄×#41×C₅₃	C₂²	semidirect
202. C₂×C₄×D₄×C₅₃	C₂²	semidirect
885. #63055	C₅₃	direct (N × H)
923. #3567	C₂×C₅₃	semidirect
924. #3566	C₂×C₅₃	semidirect
925. #3566	C₂×C₅₃	semidirect
926. #3562	C₂×C₅₃	semidirect
927. #3558	C₂×C₅₃	semidirect
928. #3558	C₂×C₅₃	semidirect
929. #3553	C₂×C₅₃	semidirect
930. #3545	C₂×C₅₃	semidirect
931. #3542	C₂×C₅₃	semidirect
932. #3541	C₂×C₅₃	semidirect
933. #3537	C₂×C₅₃	semidirect
934. #3534	C₂×C₅₃	semidirect
935. #3534	C₂×C₅₃	semidirect
936. #3533	C₂×C₅₃	semidirect
937. #3529	C₂×C₅₃	semidirect
938. C₂×#562	C₂×C₅₃	semidirect
939. #3519	C₂×C₅₃	semidirect
940. #3514	C₂×C₅₃	semidirect
941. #3513	C₂×C₅₃	semidirect
942. #3512	C₂×C₅₃	semidirect
943. #3505	C₂×C₅₃	semidirect
952. #564	C₂²×C₅₃	semidirect
953. #563	C₂²×C₅₃	semidirect
954. #563	C₂²×C₅₃	semidirect
955. #563	C₂²×C₅₃	semidirect
956. #562	C₂²×C₅₃	semidirect
957. #562	C₂²×C₅₃	semidirect
958. #562	C₂²×C₅₃	semidirect
959. #562	C₂²×C₅₃	semidirect
960. #562	C₂²×C₅₃	semidirect
961. #562	C₂²×C₅₃	semidirect
962. #562	C₂²×C₅₃	semidirect
963. #562	C₂²×C₅₃	semidirect
964. #562	C₂²×C₅₃	semidirect
965. #562	C₂²×C₅₃	semidirect
966. #562	C₂²×C₅₃	semidirect
967. #562	C₂²×C₅₃	semidirect
968. #562	C₂²×C₅₃	semidirect
969. H(3,𝔽₄)	C₂²×C₅₃	semidirect
970. H(3,𝔽₄)	C₂²×C₅₃	semidirect
971. #560	C₂²×C₅₃	semidirect
972. #560	C₂²×C₅₃	semidirect
973. #560	C₂²×C₅₃	semidirect
974. #560	C₂²×C₅₃	semidirect
975. #560	C₂²×C₅₃	semidirect
976. #560	C₂²×C₅₃	semidirect
977. #559	C₂²×C₅₃	semidirect
978. #559	C₂²×C₅₃	semidirect
979. #559	C₂²×C₅₃	semidirect
980. #556	C₂²×C₅₃	semidirect
981. #556	C₂²×C₅₃	semidirect
982. #555	C₂²×C₅₃	semidirect
983. #555	C₂²×C₅₃	semidirect
984. #554	C₂²×C₅₃	semidirect
985. #554	C₂²×C₅₃	semidirect
986. #553	C₂²×C₅₃	semidirect
987. #553	C₂²×C₅₃	semidirect
988. #553	C₂²×C₅₃	semidirect
989. #553	C₂²×C₅₃	semidirect
990. #553	C₂²×C₅₃	semidirect
991. #553	C₂²×C₅₃	semidirect
992. #553	C₂²×C₅₃	semidirect
993. #553	C₂²×C₅₃	semidirect
994. #553	C₂²×C₅₃	semidirect
995. #553	C₂²×C₅₃	semidirect
996. #553	C₂²×C₅₃	semidirect
997. #553	C₂²×C₅₃	semidirect
998. #553	C₂²×C₅₃	semidirect
999. #553	C₂²×C₅₃	semidirect
1000. #552	C₂²×C₅₃	semidirect
1001. #552	C₂²×C₅₃	semidirect
1002. #552	C₂²×C₅₃	semidirect
1003. #552	C₂²×C₅₃	semidirect
1004. #552	C₂²×C₅₃	semidirect
1005. #552	C₂²×C₅₃	semidirect
1006. #551	C₂²×C₅₃	semidirect
1007. #551	C₂²×C₅₃	semidirect
1008. #551	C₂²×C₅₃	semidirect
1009. #551	C₂²×C₅₃	semidirect
1010. #551	C₂²×C₅₃	semidirect
1011. #551	C₂²×C₅₃	semidirect
1012. #551	C₂²×C₅₃	semidirect
1013. #551	C₂²×C₅₃	semidirect
1014. #551	C₂²×C₅₃	semidirect
1015. #551	C₂²×C₅₃	semidirect
1016. #550	C₂²×C₅₃	semidirect
1017. D₄×Q₈	C₂²×C₅₃	semidirect
1018. #548	C₂²×C₅₃	semidirect
1019. #548	C₂²×C₅₃	semidirect
1020. #548	C₂²×C₅₃	semidirect
1021. #548	C₂²×C₅₃	semidirect
1022. #547	C₂²×C₅₃	semidirect
1023. #547	C₂²×C₅₃	semidirect
1024. #546	C₂²×C₅₃	semidirect
1025. #546	C₂²×C₅₃	semidirect
1026. #546	C₂²×C₅₃	semidirect
1027. #546	C₂²×C₅₃	semidirect
1028. #546	C₂²×C₅₃	semidirect
1029. #546	C₂²×C₅₃	semidirect
1030. #546	C₂²×C₅₃	semidirect
1031. #546	C₂²×C₅₃	semidirect
1032. #546	C₂²×C₅₃	semidirect
1033. #546	C₂²×C₅₃	semidirect
1034. #546	C₂²×C₅₃	semidirect
1035. #546	C₂²×C₅₃	semidirect
1036. #546	C₂²×C₅₃	semidirect
1037. #546	C₂²×C₅₃	semidirect
1038. #546	C₂²×C₅₃	semidirect
1039. D₄²	C₂²×C₅₃	semidirect
1040. D₄²	C₂²×C₅₃	semidirect
1041. D₄²	C₂²×C₅₃	semidirect
1042. D₄²	C₂²×C₅₃	semidirect
1043. D₄²	C₂²×C₅₃	semidirect
1044. D₄²	C₂²×C₅₃	semidirect
1045. D₄²	C₂²×C₅₃	semidirect
1046. #542	C₂²×C₅₃	semidirect
1047. #542	C₂²×C₅₃	semidirect
1048. #542	C₂²×C₅₃	semidirect
1049. #542	C₂²×C₅₃	semidirect
1050. #542	C₂²×C₅₃	semidirect
1051. #542	C₂²×C₅₃	semidirect
1052. #541	C₂²×C₅₃	semidirect
1053. #541	C₂²×C₅₃	semidirect
1054. #541	C₂²×C₅₃	semidirect
1055. #540	C₂²×C₅₃	semidirect
1056. #540	C₂²×C₅₃	semidirect
1057. #540	C₂²×C₅₃	semidirect
1058. #540	C₂²×C₅₃	semidirect
1059. #540	C₂²×C₅₃	semidirect
1060. #540	C₂²×C₅₃	semidirect
1061. #540	C₂²×C₅₃	semidirect
1062. #540	C₂²×C₅₃	semidirect
1063. #539	C₂²×C₅₃	semidirect
1064. #539	C₂²×C₅₃	semidirect
1065. #539	C₂²×C₅₃	semidirect
1066. #539	C₂²×C₅₃	semidirect
1067. #539	C₂²×C₅₃	semidirect
1068. #539	C₂²×C₅₃	semidirect
1069. #539	C₂²×C₅₃	semidirect
1070. #539	C₂²×C₅₃	semidirect
1071. #539	C₂²×C₅₃	semidirect
1072. #538	C₂²×C₅₃	semidirect
1073. #538	C₂²×C₅₃	semidirect
1074. #538	C₂²×C₅₃	semidirect
1075. #538	C₂²×C₅₃	semidirect
1076. #538	C₂²×C₅₃	semidirect
1077. #538	C₂²×C₅₃	semidirect
1078. #538	C₂²×C₅₃	semidirect
1079. #538	C₂²×C₅₃	semidirect
1080. #538	C₂²×C₅₃	semidirect
1081. #538	C₂²×C₅₃	semidirect
1082. #538	C₂²×C₅₃	semidirect
1083. #538	C₂²×C₅₃	semidirect
1084. #538	C₂²×C₅₃	semidirect
1085. #538	C₂²×C₅₃	semidirect
1086. #538	C₂²×C₅₃	semidirect
1087. #538	C₂²×C₅₃	semidirect
1088. #537	C₂²×C₅₃	semidirect
1089. #537	C₂²×C₅₃	semidirect
1090. #536	C₂²×C₅₃	semidirect
1091. #535	C₂²×C₅₃	semidirect
1092. #535	C₂²×C₅₃	semidirect
1093. #535	C₂²×C₅₃	semidirect
1094. #534	C₂²×C₅₃	semidirect
1095. #534	C₂²×C₅₃	semidirect
1096. #534	C₂²×C₅₃	semidirect
1097. #534	C₂²×C₅₃	semidirect
1098. #534	C₂²×C₅₃	semidirect
1099. #534	C₂²×C₅₃	semidirect
1100. #532	C₂²×C₅₃	semidirect
1101. #532	C₂²×C₅₃	semidirect
1102. #532	C₂²×C₅₃	semidirect
1103. #529	C₂²×C₅₃	semidirect
1104. #529	C₂²×C₅₃	semidirect
1105. #529	C₂²×C₅₃	semidirect
1106. #529	C₂²×C₅₃	semidirect
1107. #529	C₂²×C₅₃	semidirect
1108. #529	C₂²×C₅₃	semidirect
1109. #529	C₂²×C₅₃	semidirect
1110. #529	C₂²×C₅₃	semidirect
1111. #529	C₂²×C₅₃	semidirect
1112. #529	C₂²×C₅₃	semidirect
1113. C₂×#125	C₂²×C₅₃	semidirect
1114. C₂×#124	C₂²×C₅₃	semidirect
1115. C₂×#124	C₂²×C₅₃	semidirect
1116. #525	C₂²×C₅₃	semidirect
1117. #525	C₂²×C₅₃	semidirect
1118. #525	C₂²×C₅₃	semidirect
1119. #525	C₂²×C₅₃	semidirect
1120. #525	C₂²×C₅₃	semidirect
1121. #525	C₂²×C₅₃	semidirect
1122. C₂×#123	C₂²×C₅₃	semidirect
1123. C₂×#123	C₂²×C₅₃	semidirect
1124. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
1125. C₂×#121	C₂²×C₅₃	semidirect
1126. C₂×#121	C₂²×C₅₃	semidirect
1127. C₂×#121	C₂²×C₅₃	semidirect
1128. #520	C₂²×C₅₃	semidirect
1129. #518	C₂²×C₅₃	semidirect
1130. #518	C₂²×C₅₃	semidirect
1131. C₄×#41	C₂²×C₅₃	semidirect
1132. C₂×C₄×D₄	C₂²×C₅₃	semidirect
1133. C₅₃	#63055	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅₃×#3567	2
C₅₃×#3566	2
C₅₃×#3562	2
C₅₃×#3558	2
C₅₃×#3553	2
C₅₃×#3545	2
C₅₃×#3542	2
C₅₃×#3541	2
C₅₃×#3537	2
C₅₃×#3534	2
C₅₃×#3533	2
C₅₃×#3529	2
C₂×C₅₃×#562	2
C₅₃×#3519	2
C₅₃×#3514	2
C₅₃×#3513	2
C₅₃×#3512	2
C₅₃×#3505	2
#63055	53

Subgroups — C53×#63055 #27270567

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#63055 #27270567