Subgroups — C₅₃×#62743 #27270255

Order 13568.

6634 conjugacy classes of subgroups.

The subgroup lattice has 2346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3568	C₂	1	2	yes	maximal, complemented
2	C₅₃×#3567	C₂	1	2	yes	maximal, complemented
3	C₅₃×#3566	C₂	1	4	yes	maximal, complemented
4	C₅₃×#3565	C₂	1	2	yes	maximal, complemented
5	C₅₃×#3564	C₂	1	2	yes	maximal, complemented
6	C₅₃×#3563	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#3562	C₂	1	2	yes	maximal, complemented
8	C₅₃×#3561	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#3560	C₂	1	2	yes	maximal, complemented
10	C₅₃×#3559	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#3557	C₂	1	2	yes	maximal, complemented
13	C₅₃×#3551	C₂	1	2	yes	maximal, complemented
14	C₅₃×#3542	C₂	1	2	yes	maximal, complemented
15	C₅₃×#3541	C₂	1	2	yes	maximal, complemented
16	C₅₃×#3533	C₂	1	4	yes	maximal, complemented
17	C₅₃×#3531	C₂	1	2	yes	maximal, complemented
18	C₅₃×#3529	C₂	1	2	yes	maximal, complemented
19	C₅₃×#3482	C₂	1	2	yes	maximal, complemented
20	C₅₃×#3481	C₂	1	2	yes	maximal, complemented
21	C₅₃×#3480	C₂	1	2	yes	maximal, complemented
22	C₅₃×#3475	C₂	1	4	yes	maximal, complemented
23	C₅₃×#3475	C₂	1	2	yes	maximal, complemented
24	C₅₃×#3461	C₂	1	2	yes	maximal, complemented
25	C₅₃×#3460	C₂	1	2	yes	maximal, complemented
26	C₅₃×#3460	C₂	1	2	yes	maximal, complemented
27	C₅₃×#3459	C₂	1	2	yes	maximal, complemented
28	C₅₃×#3455	C₂	1	4	yes	maximal, complemented
29	C₅₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅₃×#564	C₂²	1	2	yes	complemented
33	C₅₃×#563	C₂²	1	4	yes	complemented
34	C₅₃×#563	C₂²	1	2	yes	complemented
35	C₅₃×#563	C₂²	1	4	yes	complemented
36	C₅₃×#563	C₂²	1	4	yes	complemented
37	C₅₃×#563	C₂²	1	4	yes	complemented
38	C₅₃×#563	C₂²	1	4	yes	complemented
39	C₅₃×#563	C₂²	1	2	yes	complemented
40	C₅₃×#563	C₂²	1	2	yes	complemented
41	C₅₃×#562	C₂²	1	4	yes	complemented
42	C₅₃×#562	C₂²	1	4	yes	complemented
43	C₅₃×#562	C₂²	1	2	yes	complemented
44	C₅₃×#562	C₂²	1	2	yes	complemented
45	C₅₃×#562	C₂²	1	4	yes	complemented
46	C₅₃×#562	C₂²	1	4	yes	complemented
47	C₅₃×#562	C₂²	1	2	yes	complemented
48	C₅₃×H(3,𝔽₄)	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×#559	C₂²	1	4	yes	complemented
53	C₅₃×#559	C₂²	1	2	yes	complemented
54	C₅₃×#559	C₂²	1	2	yes	complemented
55	C₅₃×#557	C₂²	1	2	yes	complemented
56	C₅₃×#557	C₂²	1	2	yes	complemented
57	C₅₃×#556	C₂²	1	2	yes	complemented
58	C₅₃×#556	C₂²	1	4	yes	complemented
59	C₅₃×#556	C₂²	1	2	yes	complemented
60	C₅₃×#556	C₂²	1	4	yes	complemented
61	C₅₃×#556	C₂²	1	2	yes	complemented
62	C₅₃×#556	C₂²	1	4	yes	complemented
63	C₅₃×#555	C₂²	1	2	yes	—
64	C₅₃×#555	C₂²	1	4	yes	complemented
65	C₅₃×#554	C₂²	1	4	yes	complemented
66	C₅₃×#554	C₂²	1	2	yes	complemented
67	C₅₃×#554	C₂²	1	2	yes	complemented
68	C₅₃×#554	C₂²	1	2	yes	complemented
69	C₅₃×#553	C₂²	1	4	yes	complemented
70	C₅₃×#553	C₂²	1	4	yes	complemented
71	C₅₃×#553	C₂²	1	4	yes	complemented
72	C₅₃×#553	C₂²	1	4	yes	complemented
73	C₅₃×#553	C₂²	1	2	yes	complemented
74	C₅₃×#553	C₂²	1	2	yes	complemented
75	C₅₃×#553	C₂²	1	4	yes	complemented
76	C₅₃×#553	C₂²	1	2	yes	complemented
77	C₅₃×#553	C₂²	1	2	yes	complemented
78	C₅₃×#553	C₂²	1	4	yes	complemented
79	C₅₃×#552	C₂²	1	4	yes	complemented
80	C₅₃×#552	C₂²	1	2	yes	complemented
81	C₅₃×#552	C₂²	1	2	yes	complemented
82	C₅₃×#552	C₂²	1	4	yes	complemented
83	C₅₃×#552	C₂²	1	4	yes	complemented
84	C₅₃×#552	C₂²	1	4	yes	complemented
85	C₅₃×#552	C₂²	1	4	yes	complemented
86	C₅₃×#552	C₂²	1	4	yes	complemented
87	C₅₃×#552	C₂²	1	2	yes	complemented
88	C₅₃×#552	C₂²	1	2	yes	complemented
89	C₅₃×#552	C₂²	1	4	yes	complemented
90	C₅₃×#551	C₂²	1	4	yes	complemented
91	C₅₃×#551	C₂²	1	4	yes	complemented
92	C₅₃×#551	C₂²	1	4	yes	complemented
93	C₅₃×#551	C₂²	1	4	yes	complemented
94	C₅₃×#551	C₂²	1	4	yes	complemented
95	C₅₃×#551	C₂²	1	4	yes	complemented
96	C₅₃×#551	C₂²	1	4	yes	complemented
97	C₅₃×#551	C₂²	1	4	yes	complemented
98	C₅₃×#550	C₂²	1	2	yes	—
99	D₄×Q₈×C₅₃	C₂²	1	2	yes	complemented
100	C₅₃×#548	C₂²	1	2	yes	—
101	C₅₃×#548	C₂²	1	2	yes	complemented
102	C₅₃×#548	C₂²	1	2	yes	complemented
103	C₅₃×#548	C₂²	1	2	yes	complemented
104	C₅₃×#547	C₂²	1	4	yes	complemented
105	C₅₃×#547	C₂²	1	2	yes	complemented
106	C₅₃×#547	C₂²	1	4	yes	complemented
107	C₅₃×#547	C₂²	1	2	yes	complemented
108	C₅₃×#546	C₂²	1	4	yes	—
109	C₅₃×#546	C₂²	1	2	yes	—
110	C₅₃×#546	C₂²	1	4	yes	complemented
111	C₅₃×#546	C₂²	1	2	yes	complemented
112	C₅₃×#546	C₂²	1	2	yes	complemented
113	C₅₃×#546	C₂²	1	4	yes	complemented
114	C₅₃×#546	C₂²	1	2	yes	complemented
115	D₄²×C₅₃	C₂²	1	2	yes	—
116	C₅₃×#544	C₂²	1	2	yes	complemented
117	C₅₃×#544	C₂²	1	2	yes	complemented
118	C₅₃×#544	C₂²	1	2	yes	complemented
119	C₅₃×#543	C₂²	1	2	yes	complemented
120	C₅₃×#542	C₂²	1	4	yes	complemented
121	C₅₃×#542	C₂²	1	4	yes	complemented
122	C₅₃×#542	C₂²	1	4	yes	complemented
123	C₅₃×#542	C₂²	1	4	yes	complemented
124	C₅₃×#542	C₂²	1	2	yes	complemented
125	C₅₃×#542	C₂²	1	4	yes	complemented
126	C₅₃×#542	C₂²	1	2	yes	complemented
127	C₅₃×#542	C₂²	1	4	yes	complemented
128	C₅₃×#542	C₂²	1	4	yes	complemented
129	C₅₃×#542	C₂²	1	4	yes	complemented
130	C₅₃×#542	C₂²	1	2	yes	complemented
131	C₅₃×#542	C₂²	1	2	yes	complemented
132	C₅₃×#541	C₂²	1	4	yes	complemented
133	C₅₃×#541	C₂²	1	4	yes	complemented
134	C₅₃×#541	C₂²	1	2	yes	complemented
135	C₅₃×#541	C₂²	1	2	yes	complemented
136	C₅₃×#541	C₂²	1	4	yes	complemented
137	C₅₃×#540	C₂²	1	2	yes	—
138	C₅₃×#540	C₂²	1	4	yes	complemented
139	C₅₃×#540	C₂²	1	4	yes	complemented
140	C₅₃×#540	C₂²	1	4	yes	complemented
141	C₅₃×#540	C₂²	1	4	yes	complemented
142	C₅₃×#540	C₂²	1	2	yes	complemented
143	C₅₃×#540	C₂²	1	4	yes	complemented
144	C₅₃×#539	C₂²	1	2	yes	—
145	C₅₃×#539	C₂²	1	4	yes	complemented
146	C₅₃×#539	C₂²	1	4	yes	complemented
147	C₅₃×#539	C₂²	1	4	yes	complemented
148	C₅₃×#539	C₂²	1	4	yes	complemented
149	C₅₃×#539	C₂²	1	4	yes	complemented
150	C₅₃×#539	C₂²	1	2	yes	complemented
151	C₅₃×#539	C₂²	1	4	yes	complemented
152	C₅₃×#539	C₂²	1	4	yes	complemented
153	C₅₃×#539	C₂²	1	4	yes	complemented
154	C₅₃×#538	C₂²	1	2	yes	—
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×#538	C₂²	1	4	yes	complemented
159	C₅₃×#538	C₂²	1	4	yes	complemented
160	C₅₃×#538	C₂²	1	4	yes	complemented
161	C₅₃×#538	C₂²	1	4	yes	complemented
162	C₅₃×#538	C₂²	1	4	yes	complemented
163	C₅₃×#538	C₂²	1	4	yes	complemented
164	C₅₃×#538	C₂²	1	2	yes	complemented
165	C₅₃×#538	C₂²	1	4	yes	complemented
166	C₅₃×#537	C₂²	1	2	yes	—
167	C₅₃×#537	C₂²	1	2	yes	complemented
168	C₅₃×#537	C₂²	1	2	yes	complemented
169	C₅₃×#536	C₂²	1	2	yes	complemented
170	C₅₃×#536	C₂²	1	2	yes	complemented
171	C₅₃×#535	C₂²	1	4	yes	complemented
172	C₅₃×#535	C₂²	1	2	yes	complemented
173	C₅₃×#535	C₂²	1	2	yes	complemented
174	C₅₃×#534	C₂²	1	2	yes	—
175	C₅₃×#534	C₂²	1	4	yes	complemented
176	C₅₃×#533	C₂²	1	4	yes	complemented
177	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#533	C₂²	1	2	yes	complemented
179	C₅₃×#533	C₂²	1	4	yes	complemented
180	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#532	C₂²	1	1	yes	characteristic
186	C₅₃×#532	C₂²	1	1	yes	characteristic
187	C₅₃×#532	C₂²	1	4	yes	complemented
188	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
189	C₅₃×#532	C₂²	1	2	yes	complemented
190	C₅₃×#532	C₂²	1	4	yes	complemented
191	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
192	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
193	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#529	C₂²	1	1	yes	characteristic
195	C₅₃×#529	C₂²	1	2	yes	complemented
196	C₅₃×#529	C₂²	1	2	yes	complemented
197	C₅₃×#529	C₂²	1	4	yes	complemented
198	C₅₃×#529	C₂²	1	4	yes	complemented
199	C₅₃×#529	C₂²	1	4	yes	complemented
200	C₅₃×#529	C₂²	1	4	yes	complemented
201	C₅₃×#529	C₂²	1	4	yes	complemented
202	C₅₃×#529	C₂²	1	4	yes	complemented
203	C₅₃×#529	C₂²	1	4	yes	complemented
204	C₅₃×#529	C₂²	1	4	yes	complemented
205	C₅₃×#529	C₂²	1	2	yes	complemented
206	C₅₃×#529	C₂²	1	4	yes	complemented
207	C₅₃×#529	C₂²	1	4	yes	complemented
208	C₅₃×#529	C₂²	1	2	yes	complemented
209	C₅₃×#529	C₂²	1	2	yes	complemented
210	C₅₃×#529	C₂²	1	4	yes	complemented
211	C₅₃×#529	C₂²	1	2	yes	complemented
212	C₅₃×#529	C₂²	1	2	yes	complemented
213	C₅₃×#529	C₂²	1	2	yes	complemented
214	C₅₃×#529	C₂²	1	2	yes	complemented
215	C₅₃×#529	C₂²	1	2	yes	complemented
216	C₅₃×#529	C₂²	1	2	yes	complemented
217	C₅₃×#529	C₂²	1	2	yes	complemented
218	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
219	C₅₃×#529	C₂²	1	2	yes	complemented
220	C₅₃×#529	C₂²	1	2	yes	complemented
221	C₅₃×#529	C₂²	1	2	yes	complemented
222	C₅₃×#529	C₂²	1	2	yes	complemented
223	C₅₃×#529	C₂²	1	2	yes	complemented
224	C₅₃×#529	C₂²	1	2	yes	complemented
225	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
226	C₅₃×#529	C₂²	1	2	yes	complemented
227	C₅₃×#529	C₂²	1	2	yes	complemented
228	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
229	C₂×#126×C₅₃	C₂²	1	2	yes	complemented
230	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
231	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
232	C₅₃×#525	C₂²	1	1	yes	characteristic
233	C₅₃×#525	C₂²	1	4	yes	complemented
234	C₅₃×#525	C₂²	1	4	yes	complemented
235	C₅₃×#525	C₂²	1	2	yes	complemented
236	C₅₃×#525	C₂²	1	4	yes	complemented
237	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
238	C₅₃×#525	C₂²	1	4	yes	complemented
239	C₅₃×#525	C₂²	1	4	yes	complemented
240	C₅₃×#525	C₂²	1	2	yes	complemented
241	C₅₃×#525	C₂²	1	2	yes	complemented
242	C₅₃×#525	C₂²	1	2	yes	complemented
243	C₅₃×#525	C₂²	1	2	yes	complemented
244	C₂×#123×C₅₃	C₂²	1	2	yes	complemented
245	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
246	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
247	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
248	C₄×#41×C₅₃	C₂²	1	4	yes	complemented
249	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
250	C₄×#41×C₅₃	C₂²	1	4	yes	complemented
251	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
252	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
253	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
254	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
255	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
256	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
257	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
258	C₂×C₄×Q₈×C₅₃	C₂²	1	2	yes	complemented
259	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
260	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
261	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
262	C₂×C₄×D₄×C₅₃	C₂²	1	4	yes	complemented
263	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
264	C₂×#117×C₅₃	C₂²	1	4	yes	complemented
265	C₂×#117×C₅₃	C₂²	1	2	yes	complemented
266	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
268	C₂×#41×C₅₃	C₂³	1	4	yes	—
269	C₂×#41×C₅₃	C₂³	1	2	yes	—
270	C₂×#41×C₅₃	C₂³	1	2	yes	—
271	C₂×#41×C₅₃	C₂³	1	2	yes	—
272	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
273	C₂×#41×C₅₃	C₂³	1	2	yes	—
274	C₂×#41×C₅₃	C₂³	1	2	yes	—
275	C₂×#41×C₅₃	C₂³	1	4	yes	—
276	C₂×#41×C₅₃	C₂³	1	2	yes	—
277	C₂×#41×C₅₃	C₂³	1	2	yes	—
278	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
279	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
280	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
281	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
282	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
283	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
284	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
285	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
288	C₂³×C₄×C₅₃	C₂³	1	4	yes	—
289	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
290	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
291	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
292	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
293	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
294	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
295	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
296	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
297	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
298	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
299	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
300	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
301	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
302	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
303	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
304	#127×C₅₃	C₂³	1	1	yes	characteristic
305	#127×C₅₃	C₂³	1	1	yes	characteristic
306	#127×C₅₃	C₂³	1	4	yes	—
307	#127×C₅₃	C₂³	1	2	yes	—
308	#127×C₅₃	C₂³	1	4	yes	—
309	#126×C₅₃	C₂³	1	4	yes	—
310	#126×C₅₃	C₂³	1	4	yes	—
311	#126×C₅₃	C₂³	1	4	yes	—
312	#126×C₅₃	C₂³	1	4	yes	—
313	#126×C₅₃	C₂³	1	2	yes	—
314	#126×C₅₃	C₂³	1	2	yes	—
315	#126×C₅₃	C₂³	1	2	yes	—
316	#126×C₅₃	C₂³	1	4	yes	—
317	#126×C₅₃	C₂³	1	2	yes	—
318	#126×C₅₃	C₂³	1	4	yes	—
319	#126×C₅₃	C₂³	1	4	yes	—
320	#126×C₅₃	C₂³	1	4	yes	—
321	#126×C₅₃	C₂³	1	4	yes	—
322	#126×C₅₃	C₂³	1	4	yes	—
323	#126×C₅₃	C₂³	1	4	yes	—
324	#126×C₅₃	C₂³	1	4	yes	—
325	#126×C₅₃	C₂³	1	4	yes	—
326	#126×C₅₃	C₂³	1	4	yes	—
327	#126×C₅₃	C₂³	1	4	yes	—
328	#126×C₅₃	C₂³	1	4	yes	—
329	#126×C₅₃	C₂³	1	4	yes	—
330	#126×C₅₃	C₂³	1	4	yes	—
331	#126×C₅₃	C₂³	1	4	yes	—
332	#126×C₅₃	C₂³	1	4	yes	—
333	#126×C₅₃	C₂³	1	4	yes	—
334	#126×C₅₃	C₂³	1	4	yes	—
335	#126×C₅₃	C₂³	1	4	yes	—
336	#126×C₅₃	C₂³	1	4	yes	—
337	#126×C₅₃	C₂³	1	4	yes	—
338	#126×C₅₃	C₂³	1	4	yes	—
339	#126×C₅₃	C₂³	1	4	yes	—
340	#126×C₅₃	C₂³	1	4	yes	—
341	#126×C₅₃	C₂³	1	4	yes	—
342	#126×C₅₃	C₂³	1	4	yes	—
343	#125×C₅₃	C₂³	1	2	yes	—
344	#125×C₅₃	C₂³	1	2	yes	—
345	#125×C₅₃	C₂³	1	2	yes	—
346	#125×C₅₃	C₂³	1	2	yes	—
347	#125×C₅₃	C₂³	1	1	yes	characteristic
348	#125×C₅₃	C₂³	1	2	yes	—
349	#125×C₅₃	C₂³	1	2	yes	—
350	#125×C₅₃	C₂³	1	2	yes	—
351	#125×C₅₃	C₂³	1	2	yes	—
352	#125×C₅₃	C₂³	1	2	yes	—
353	#125×C₅₃	C₂³	1	1	yes	characteristic
354	#125×C₅₃	C₂³	1	4	yes	—
355	#125×C₅₃	C₂³	1	4	yes	—
356	#125×C₅₃	C₂³	1	4	yes	—
357	#125×C₅₃	C₂³	1	4	yes	—
358	#125×C₅₃	C₂³	1	4	yes	—
359	#125×C₅₃	C₂³	1	4	yes	—
360	#125×C₅₃	C₂³	1	4	yes	—
361	#125×C₅₃	C₂³	1	4	yes	—
362	#125×C₅₃	C₂³	1	2	yes	—
363	#125×C₅₃	C₂³	1	4	yes	—
364	#125×C₅₃	C₂³	1	4	yes	—
365	#125×C₅₃	C₂³	1	4	yes	—
366	#125×C₅₃	C₂³	1	2	yes	—
367	#125×C₅₃	C₂³	1	4	yes	—
368	#125×C₅₃	C₂³	1	4	yes	—
369	#125×C₅₃	C₂³	1	4	yes	—
370	#125×C₅₃	C₂³	1	4	yes	—
371	#125×C₅₃	C₂³	1	4	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	2	yes	—
376	#124×C₅₃	C₂³	1	1	yes	characteristic
377	#124×C₅₃	C₂³	1	2	yes	—
378	#124×C₅₃	C₂³	1	2	yes	—
379	#124×C₅₃	C₂³	1	2	yes	—
380	#124×C₅₃	C₂³	1	2	yes	—
381	#124×C₅₃	C₂³	1	2	yes	—
382	#124×C₅₃	C₂³	1	1	yes	characteristic
383	#124×C₅₃	C₂³	1	4	yes	—
384	#124×C₅₃	C₂³	1	2	yes	—
385	#124×C₅₃	C₂³	1	4	yes	—
386	#124×C₅₃	C₂³	1	4	yes	—
387	#124×C₅₃	C₂³	1	4	yes	—
388	#124×C₅₃	C₂³	1	2	yes	—
389	#124×C₅₃	C₂³	1	4	yes	—
390	#124×C₅₃	C₂³	1	4	yes	—
391	#124×C₅₃	C₂³	1	4	yes	—
392	#124×C₅₃	C₂³	1	4	yes	—
393	#124×C₅₃	C₂³	1	4	yes	—
394	#124×C₅₃	C₂³	1	4	yes	—
395	#124×C₅₃	C₂³	1	4	yes	—
396	#124×C₅₃	C₂³	1	4	yes	—
397	#124×C₅₃	C₂³	1	4	yes	—
398	#124×C₅₃	C₂³	1	4	yes	—
399	#124×C₅₃	C₂³	1	4	yes	—
400	#124×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	4	yes	—
405	#123×C₅₃	C₂³	1	2	yes	—
406	#123×C₅₃	C₂³	1	2	yes	—
407	#123×C₅₃	C₂³	1	2	yes	—
408	#123×C₅₃	C₂³	1	4	yes	—
409	#123×C₅₃	C₂³	1	2	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	4	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	4	yes	—
421	#123×C₅₃	C₂³	1	4	yes	—
422	#123×C₅₃	C₂³	1	4	yes	—
423	#123×C₅₃	C₂³	1	4	yes	—
424	#123×C₅₃	C₂³	1	4	yes	—
425	#123×C₅₃	C₂³	1	4	yes	—
426	#123×C₅₃	C₂³	1	4	yes	—
427	#123×C₅₃	C₂³	1	4	yes	—
428	#123×C₅₃	C₂³	1	4	yes	—
429	#123×C₅₃	C₂³	1	4	yes	—
430	#123×C₅₃	C₂³	1	4	yes	—
431	#123×C₅₃	C₂³	1	4	yes	—
432	#123×C₅₃	C₂³	1	4	yes	—
433	#123×C₅₃	C₂³	1	4	yes	—
434	#123×C₅₃	C₂³	1	4	yes	—
435	#123×C₅₃	C₂³	1	4	yes	—
436	#123×C₅₃	C₂³	1	4	yes	—
437	#123×C₅₃	C₂³	1	4	yes	—
438	#123×C₅₃	C₂³	1	4	yes	—
439	#123×C₅₃	C₂³	1	4	yes	—
440	#123×C₅₃	C₂³	1	4	yes	—
441	#123×C₅₃	C₂³	1	4	yes	—
442	#123×C₅₃	C₂³	1	4	yes	—
443	#123×C₅₃	C₂³	1	4	yes	—
444	#123×C₅₃	C₂³	1	4	yes	—
445	#123×C₅₃	C₂³	1	4	yes	—
446	#123×C₅₃	C₂³	1	4	yes	—
447	#123×C₅₃	C₂³	1	4	yes	—
448	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
449	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
450	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
451	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
452	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
453	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
454	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
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	—
459	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
460	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
461	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
462	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
463	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
464	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
465	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
466	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
467	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
468	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
469	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
470	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
471	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
472	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
473	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
474	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
475	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
476	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
477	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
478	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
479	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
480	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
481	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
482	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
483	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
484	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
485	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
486	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
487	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
488	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
489	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
490	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
491	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
492	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
493	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
494	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
495	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
496	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
497	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
498	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
499	C₂²⋊Q₈×C₅₃	C₂³	1	4	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	1	yes	characteristic
505	#121×C₅₃	C₂³	1	1	yes	characteristic
506	#121×C₅₃	C₂³	1	2	yes	—
507	#121×C₅₃	C₂³	1	1	yes	characteristic
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	2	yes	—
514	#121×C₅₃	C₂³	1	1	yes	characteristic
515	#121×C₅₃	C₂³	1	2	yes	—
516	#121×C₅₃	C₂³	1	2	yes	—
517	#121×C₅₃	C₂³	1	2	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	—
532	#121×C₅₃	C₂³	1	4	yes	—
533	#121×C₅₃	C₂³	1	4	yes	—
534	#121×C₅₃	C₂³	1	2	yes	—
535	#121×C₅₃	C₂³	1	4	yes	—
536	#121×C₅₃	C₂³	1	2	yes	—
537	#121×C₅₃	C₂³	1	4	yes	—
538	#121×C₅₃	C₂³	1	4	yes	—
539	#121×C₅₃	C₂³	1	4	yes	—
540	#121×C₅₃	C₂³	1	4	yes	—
541	#121×C₅₃	C₂³	1	4	yes	—
542	#121×C₅₃	C₂³	1	4	yes	—
543	#121×C₅₃	C₂³	1	2	yes	—
544	#121×C₅₃	C₂³	1	4	yes	—
545	#121×C₅₃	C₂³	1	4	yes	—
546	#121×C₅₃	C₂³	1	4	yes	—
547	#121×C₅₃	C₂³	1	2	yes	—
548	#121×C₅₃	C₂³	1	4	yes	—
549	#121×C₅₃	C₂³	1	4	yes	—
550	#121×C₅₃	C₂³	1	4	yes	—
551	#121×C₅₃	C₂³	1	4	yes	—
552	#120×C₅₃	C₂³	1	2	yes	—
553	#120×C₅₃	C₂³	1	4	yes	—
554	#120×C₅₃	C₂³	1	2	yes	—
555	#120×C₅₃	C₂³	1	4	yes	—
556	#120×C₅₃	C₂³	1	4	yes	—
557	#120×C₅₃	C₂³	1	4	yes	—
558	#120×C₅₃	C₂³	1	4	yes	—
559	#120×C₅₃	C₂³	1	4	yes	—
560	#120×C₅₃	C₂³	1	4	yes	—
561	#120×C₅₃	C₂³	1	4	yes	—
562	#120×C₅₃	C₂³	1	4	yes	—
563	#120×C₅₃	C₂³	1	4	yes	—
564	#120×C₅₃	C₂³	1	4	yes	—
565	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
566	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
567	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
568	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
569	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
570	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
571	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
572	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
573	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
574	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
575	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
576	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
577	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
578	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
579	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
580	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
581	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
582	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
583	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
584	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
585	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
586	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
587	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
588	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
589	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
590	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
591	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
592	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
593	C₄×D₄×C₅₃	C₂³	1	2	yes	—
594	C₄×D₄×C₅₃	C₂³	1	2	yes	—
595	C₄×D₄×C₅₃	C₂³	1	2	yes	—
596	C₄×D₄×C₅₃	C₂³	1	2	yes	—
597	C₄×D₄×C₅₃	C₂³	1	2	yes	—
598	C₄×D₄×C₅₃	C₂³	1	4	yes	—
599	C₄×D₄×C₅₃	C₂³	1	2	yes	—
600	C₄×D₄×C₅₃	C₂³	1	4	yes	—
601	C₄×D₄×C₅₃	C₂³	1	4	yes	—
602	C₄×D₄×C₅₃	C₂³	1	4	yes	—
603	C₄×D₄×C₅₃	C₂³	1	4	yes	—
604	C₄×D₄×C₅₃	C₂³	1	4	yes	—
605	C₄×D₄×C₅₃	C₂³	1	4	yes	—
606	C₄×D₄×C₅₃	C₂³	1	4	yes	—
607	C₄×D₄×C₅₃	C₂³	1	4	yes	—
608	C₄×D₄×C₅₃	C₂³	1	4	yes	—
609	C₄×D₄×C₅₃	C₂³	1	4	yes	—
610	C₄×D₄×C₅₃	C₂³	1	4	yes	—
611	C₄×D₄×C₅₃	C₂³	1	2	yes	—
612	C₄×D₄×C₅₃	C₂³	1	2	yes	—
613	C₄×D₄×C₅₃	C₂³	1	4	yes	—
614	C₄×D₄×C₅₃	C₂³	1	2	yes	—
615	C₄×D₄×C₅₃	C₂³	1	2	yes	—
616	C₄×D₄×C₅₃	C₂³	1	4	yes	—
617	C₄×D₄×C₅₃	C₂³	1	2	yes	—
618	C₄×D₄×C₅₃	C₂³	1	4	yes	—
619	C₄×D₄×C₅₃	C₂³	1	2	yes	—
620	C₄×D₄×C₅₃	C₂³	1	2	yes	—
621	C₄×D₄×C₅₃	C₂³	1	4	yes	—
622	C₄×D₄×C₅₃	C₂³	1	2	yes	—
623	C₄×D₄×C₅₃	C₂³	1	2	yes	—
624	C₄×D₄×C₅₃	C₂³	1	4	yes	—
625	C₄×D₄×C₅₃	C₂³	1	2	yes	—
626	C₄×D₄×C₅₃	C₂³	1	4	yes	—
627	C₄×D₄×C₅₃	C₂³	1	4	yes	—
628	C₄×D₄×C₅₃	C₂³	1	2	yes	—
629	C₄×D₄×C₅₃	C₂³	1	2	yes	—
630	C₄×D₄×C₅₃	C₂³	1	2	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	4	yes	—
635	C₄×D₄×C₅₃	C₂³	1	2	yes	—
636	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
641	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
642	C₄×D₄×C₅₃	C₂³	1	2	yes	—
643	C₄×D₄×C₅₃	C₂³	1	2	yes	—
644	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
645	C₄×D₄×C₅₃	C₂³	1	2	yes	—
646	C₄×D₄×C₅₃	C₂³	1	4	yes	—
647	C₄×D₄×C₅₃	C₂³	1	4	yes	—
648	C₄×D₄×C₅₃	C₂³	1	4	yes	—
649	C₄×D₄×C₅₃	C₂³	1	4	yes	—
650	C₄×D₄×C₅₃	C₂³	1	4	yes	—
651	C₄×D₄×C₅₃	C₂³	1	4	yes	—
652	C₄×D₄×C₅₃	C₂³	1	4	yes	—
653	C₄×D₄×C₅₃	C₂³	1	4	yes	—
654	C₄×D₄×C₅₃	C₂³	1	2	yes	—
655	C₄×D₄×C₅₃	C₂³	1	4	yes	—
656	C₄×D₄×C₅₃	C₂³	1	4	yes	—
657	C₄×D₄×C₅₃	C₂³	1	4	yes	—
658	C₄×D₄×C₅₃	C₂³	1	2	yes	—
659	#117×C₅₃	C₂³	1	2	yes	—
660	#117×C₅₃	C₂³	1	4	yes	—
661	#117×C₅₃	C₂³	1	4	yes	—
662	#117×C₅₃	C₂³	1	4	yes	—
663	#117×C₅₃	C₂³	1	4	yes	—
664	#117×C₅₃	C₂³	1	4	yes	—
665	#117×C₅₃	C₂³	1	4	yes	—
666	#117×C₅₃	C₂³	1	4	yes	—
667	#117×C₅₃	C₂³	1	4	yes	—
668	#117×C₅₃	C₂³	1	4	yes	—
669	#117×C₅₃	C₂³	1	4	yes	—
670	#117×C₅₃	C₂³	1	2	yes	—
671	#117×C₅₃	C₂³	1	1	yes	characteristic
672	#117×C₅₃	C₂³	1	4	yes	—
673	#117×C₅₃	C₂³	1	1	yes	characteristic
674	#117×C₅₃	C₂³	1	4	yes	—
675	#117×C₅₃	C₂³	1	2	yes	—
676	#117×C₅₃	C₂³	1	2	yes	—
677	#117×C₅₃	C₂³	1	2	yes	—
678	#117×C₅₃	C₂³	1	2	yes	—
679	#117×C₅₃	C₂³	1	2	yes	—
680	#117×C₅₃	C₂³	1	2	yes	—
681	#117×C₅₃	C₂³	1	2	yes	—
682	#117×C₅₃	C₂³	1	2	yes	—
683	#117×C₅₃	C₂³	1	4	yes	—
684	#117×C₅₃	C₂³	1	4	yes	—
685	#117×C₅₃	C₂³	1	2	yes	—
686	#117×C₅₃	C₂³	1	4	yes	—
687	#117×C₅₃	C₂³	1	2	yes	—
688	#117×C₅₃	C₂³	1	2	yes	—
689	#117×C₅₃	C₂³	1	4	yes	—
690	#117×C₅₃	C₂³	1	4	yes	—
691	#117×C₅₃	C₂³	1	4	yes	—
692	#117×C₅₃	C₂³	1	4	yes	—
693	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
694	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
695	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
696	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
697	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
698	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
699	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
700	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
701	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
702	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
703	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
704	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
705	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
706	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
707	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
708	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
709	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
710	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
711	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
712	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
713	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
714	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
715	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
716	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
717	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
718	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
719	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
720	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
721	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
722	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
723	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
724	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
725	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
726	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
727	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
728	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
729	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
730	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
731	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
732	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
733	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
734	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
735	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
736	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
737	#41×C₅₃	—	4	2	no	—
738	#41×C₅₃	—	4	8	no	—
739	#41×C₅₃	—	4	4	no	—
740	#41×C₅₃	—	4	4	no	—
741	#41×C₅₃	—	4	2	no	—
742	#41×C₅₃	—	4	4	no	—
743	#41×C₅₃	—	4	4	no	—
744	#41×C₅₃	—	4	8	no	—
745	#41×C₅₃	—	4	4	no	—
746	#41×C₅₃	—	4	4	no	—
747	#41×C₅₃	—	4	4	no	—
748	C₂×Q₈×C₅₃	—	4	2	no	—
749	C₂×Q₈×C₅₃	—	4	4	no	—
750	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
751	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
752	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
753	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
754	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
755	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
756	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
757	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
758	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
759	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
760	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
761	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
762	C₂×D₄×C₅₃	—	4	2	no	—
763	C₂×D₄×C₅₃	—	4	4	no	—
764	C₂×D₄×C₅₃	—	4	4	no	—
765	C₂×D₄×C₅₃	—	4	8	no	—
766	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
767	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
768	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
769	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
770	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
771	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
772	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
773	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
774	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
777	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
778	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
779	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
780	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
781	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
782	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
783	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
784	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
785	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
786	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
787	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
788	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
789	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
790	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
791	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
792	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
793	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
794	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
795	C₂²×C₄×C₅₃	—	4	4	no	—
796	C₂²×C₄×C₅₃	—	4	2	no	—
797	C₂²×C₄×C₅₃	—	4	8	no	—
798	C₂²×C₄×C₅₃	—	4	2	no	—
799	C₂²×C₄×C₅₃	—	4	2	no	—
800	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
801	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
802	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
803	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
804	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
805	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
806	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
807	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
808	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
809	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
810	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
811	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
812	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
813	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
814	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
815	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
816	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
817	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
818	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
819	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
820	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
821	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
822	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
823	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
824	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
825	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
826	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
827	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
828	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
829	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
830	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
831	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
832	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
833	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
834	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
835	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
836	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
837	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
838	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
839	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
840	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
841	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
842	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
843	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
844	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
845	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
846	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
847	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
849	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
850	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
851	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
852	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
854	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
855	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
856	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
857	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
858	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
859	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
860	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
861	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
862	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
863	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
864	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
865	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
866	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
867	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
868	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
869	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
870	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
871	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
872	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
873	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
874	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
875	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
876	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
877	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
878	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
879	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
880	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
881	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
882	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
883	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
884	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
885	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
886	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
887	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
888	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
889	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
890	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
891	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
892	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
893	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
894	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
895	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
896	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
897	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
898	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
899	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
900	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
901	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
902	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
903	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
904	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
905	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
906	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
907	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
908	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
909	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
910	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
911	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
912	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
913	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
914	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
915	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
916	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
917	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
918	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
919	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
920	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
921	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
922	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
923	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
924	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
925	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
926	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
927	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
928	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
929	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
930	C₂²⋊C₄×C₅₃	C₂⁴	1	2	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	2	yes	—
935	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
936	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
937	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
938	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
939	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
940	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
941	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
942	C₂²⋊C₄×C₅₃	C₂⁴	1	2	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	2	yes	—
952	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
953	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
954	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
955	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
956	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
957	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
958	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
959	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
960	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
961	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
962	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
963	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
964	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
965	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
966	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
967	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
968	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
969	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
970	C₄²×C₅₃	C₂⁴	1	4	yes	—
971	C₄²×C₅₃	C₂⁴	1	2	yes	—
972	C₄²×C₅₃	C₂⁴	1	4	yes	—
973	C₄²×C₅₃	C₂⁴	1	4	yes	—
974	C₄²×C₅₃	C₂⁴	1	4	yes	—
975	C₄²×C₅₃	C₂⁴	1	2	yes	—
976	C₄²×C₅₃	C₂⁴	1	2	yes	—
977	C₄²×C₅₃	C₂⁴	1	2	yes	—
978	C₄²×C₅₃	C₂⁴	1	4	yes	—
979	C₄²×C₅₃	C₂⁴	1	4	yes	—
980	C₄²×C₅₃	C₂⁴	1	4	yes	—
981	C₄²×C₅₃	C₂⁴	1	4	yes	—
982	C₄²×C₅₃	C₂⁴	1	4	yes	—
983	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
984	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
985	C₄²×C₅₃	C₂⁴	1	4	yes	—
986	C₄²×C₅₃	C₂⁴	1	2	yes	—
987	C₄²×C₅₃	C₂⁴	1	2	yes	—
988	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
989	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
990	C₄²×C₅₃	C₂⁴	1	4	yes	—
991	C₂³×C₅₃	—	2	2	no	—
992	C₂³×C₅₃	—	2	4	no	—
993	C₂³×C₅₃	—	4	1	no	—
994	C₂³×C₅₃	—	4	1	no	—
995	C₂³×C₅₃	—	4	2	no	—
996	C₂³×C₅₃	—	4	4	no	—
997	C₂³×C₅₃	—	4	2	no	—
998	C₂³×C₅₃	—	4	4	no	—
999	C₂³×C₅₃	—	4	4	no	—
1000	C₂³×C₅₃	C₂⁵	1	2	yes	—
1001	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1002	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1003	C₂³×C₅₃	C₂⁵	1	4	yes	—
1004	C₂³×C₅₃	C₂⁵	1	2	yes	—
1005	C₂³×C₅₃	C₂⁵	1	4	yes	—
1006	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1007	Q₈×C₅₃	—	2	4	no	—
1008	Q₈×C₅₃	—	2	4	no	—
1009	Q₈×C₅₃	—	4	2	no	—
1010	Q₈×C₅₃	—	4	4	no	—
1011	Q₈×C₅₃	—	4	1	no	—
1012	Q₈×C₅₃	—	4	4	no	—
1013	Q₈×C₅₃	—	4	2	no	—
1014	Q₈×C₅₃	—	4	4	no	—
1015	Q₈×C₅₃	—	4	2	no	—
1016	Q₈×C₅₃	—	4	1	no	—
1017	Q₈×C₅₃	—	4	2	no	—
1018	Q₈×C₅₃	—	4	2	no	—
1019	D₄×C₅₃	—	2	4	no	—
1020	D₄×C₅₃	—	2	8	no	—
1021	D₄×C₅₃	—	2	4	no	—
1022	D₄×C₅₃	—	2	4	no	—
1023	D₄×C₅₃	—	2	4	no	—
1024	D₄×C₅₃	—	4	4	no	—
1025	D₄×C₅₃	—	4	4	no	—
1026	D₄×C₅₃	—	4	4	no	—
1027	D₄×C₅₃	—	4	2	no	—
1028	D₄×C₅₃	—	4	4	no	—
1029	D₄×C₅₃	—	4	4	no	—
1030	D₄×C₅₃	—	4	2	no	—
1031	D₄×C₅₃	—	4	4	no	—
1032	D₄×C₅₃	—	4	2	no	—
1033	D₄×C₅₃	—	4	4	no	—
1034	D₄×C₅₃	—	4	2	no	—
1035	D₄×C₅₃	—	4	1	no	—
1036	D₄×C₅₃	—	4	4	no	—
1037	D₄×C₅₃	—	4	4	no	—
1038	D₄×C₅₃	—	4	2	no	—
1039	D₄×C₅₃	—	4	1	no	—
1040	D₄×C₅₃	—	4	2	no	—
1041	D₄×C₅₃	—	4	2	no	—
1042	D₄×C₅₃	—	4	2	no	—
1043	D₄×C₅₃	—	4	4	no	—
1044	D₄×C₅₃	—	4	2	no	—
1045	D₄×C₅₃	—	4	4	no	—
1046	D₄×C₅₃	—	4	4	no	—
1047	D₄×C₅₃	—	4	4	no	—
1048	C₂×C₄×C₅₃	—	2	2	no	—
1049	C₂×C₄×C₅₃	—	2	2	no	—
1050	C₂×C₄×C₅₃	—	2	4	no	—
1051	C₂×C₄×C₅₃	—	2	2	no	—
1052	C₂×C₄×C₅₃	—	2	8	no	—
1053	C₂×C₄×C₅₃	—	2	4	no	—
1054	C₂×C₄×C₅₃	—	2	2	no	—
1055	C₂×C₄×C₅₃	—	2	2	no	—
1056	C₂×C₄×C₅₃	—	2	2	no	—
1057	C₂×C₄×C₅₃	—	2	2	no	—
1058	C₂×C₄×C₅₃	—	2	8	no	—
1059	C₂×C₄×C₅₃	—	2	2	no	—
1060	C₂×C₄×C₅₃	—	2	4	no	—
1061	C₂×C₄×C₅₃	—	2	4	no	—
1062	C₂×C₄×C₅₃	—	2	4	no	—
1063	C₂×C₄×C₅₃	—	4	1	no	—
1064	C₂×C₄×C₅₃	—	4	4	no	—
1065	C₂×C₄×C₅₃	—	4	1	no	—
1066	C₂×C₄×C₅₃	—	4	1	no	—
1067	C₂×C₄×C₅₃	—	4	1	no	—
1068	C₂×C₄×C₅₃	—	4	1	no	—
1069	C₂×C₄×C₅₃	—	4	1	no	—
1070	C₂×C₄×C₅₃	—	4	1	no	—
1071	C₂×C₄×C₅₃	—	4	2	no	—
1072	C₂×C₄×C₅₃	—	4	4	no	—
1073	C₂×C₄×C₅₃	—	4	4	no	—
1074	C₂×C₄×C₅₃	—	4	4	no	—
1075	C₂×C₄×C₅₃	—	4	1	no	—
1076	C₂×C₄×C₅₃	—	4	1	no	—
1077	C₂×C₄×C₅₃	—	4	1	no	—
1078	C₂×C₄×C₅₃	—	4	4	no	—
1079	C₂×C₄×C₅₃	—	4	4	no	—
1080	C₂×C₄×C₅₃	—	4	2	no	—
1081	C₂×C₄×C₅₃	—	4	2	no	—
1082	C₂×C₄×C₅₃	—	4	4	no	—
1083	C₂×C₄×C₅₃	—	4	2	no	—
1084	C₂×C₄×C₅₃	—	4	4	no	—
1085	C₂×C₄×C₅₃	—	4	4	no	—
1086	C₂×C₄×C₅₃	—	4	4	no	—
1087	C₂×C₄×C₅₃	—	4	4	no	—
1088	C₂×C₄×C₅₃	—	4	4	no	—
1089	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1090	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1091	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1092	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1093	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1094	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1095	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1096	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1097	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1098	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1099	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1100	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1101	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1102	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1103	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1104	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1105	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1106	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1107	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1108	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1109	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1110	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1111	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1112	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1113	#62743	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
1114	C₂²×C₅₃	—	2	1	no	—
1115	C₂²×C₅₃	—	2	1	no	—
1116	C₂²×C₅₃	—	2	2	no	—
1117	C₂²×C₅₃	—	2	2	no	—
1118	C₂²×C₅₃	—	2	4	no	—
1119	C₂²×C₅₃	—	2	1	no	—
1120	C₂²×C₅₃	—	2	1	no	—
1121	C₂²×C₅₃	—	2	1	no	—
1122	C₂²×C₅₃	—	2	1	no	—
1123	C₂²×C₅₃	—	2	4	no	—
1124	C₂²×C₅₃	—	2	2	no	—
1125	C₂²×C₅₃	—	2	2	no	—
1126	C₂²×C₅₃	—	2	2	no	—
1127	C₂²×C₅₃	—	2	4	no	—
1128	C₂²×C₅₃	—	2	4	no	—
1129	C₂²×C₅₃	—	2	1	no	—
1130	C₂²×C₅₃	—	2	1	no	—
1131	C₂²×C₅₃	—	2	2	no	—
1132	C₂²×C₅₃	—	2	4	no	—
1133	C₂²×C₅₃	—	2	4	no	—
1134	C₂²×C₅₃	—	4	4	no	—
1135	C₂²×C₅₃	—	8	4	no	—
1136	C₂²×C₅₃	—	8	8	no	—
1137	C₂²×C₅₃	#585	1	2	yes	—
1138	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1139	C₄×C₅₃	—	2	1	no	—
1140	C₄×C₅₃	—	2	1	no	—
1141	C₄×C₅₃	—	2	1	no	—
1142	C₄×C₅₃	—	2	1	no	—
1143	C₄×C₅₃	—	2	4	no	—
1144	C₄×C₅₃	—	2	2	no	—
1145	C₄×C₅₃	—	2	4	no	—
1146	C₄×C₅₃	—	2	2	no	—
1147	C₄×C₅₃	—	2	1	no	—
1148	C₄×C₅₃	—	2	1	no	—
1149	C₄×C₅₃	—	2	1	no	—
1150	C₄×C₅₃	—	2	1	no	—
1151	C₄×C₅₃	—	2	1	no	—
1152	C₄×C₅₃	—	2	4	no	—
1153	C₄×C₅₃	—	2	1	no	—
1154	C₄×C₅₃	—	2	2	no	—
1155	C₄×C₅₃	—	2	2	no	—
1156	C₄×C₅₃	—	2	2	no	—
1157	C₄×C₅₃	—	2	4	no	—
1158	C₄×C₅₃	—	2	2	no	—
1159	C₄×C₅₃	—	2	4	no	—
1160	C₄×C₅₃	—	2	4	no	—
1161	C₄×C₅₃	#585	1	2	yes	—
1162	C₄×C₅₃	#585	1	2	yes	—
1163	#3568	C₂×C₅₃	1	2	yes	complemented
1164	#3567	C₂×C₅₃	1	2	yes	complemented
1165	#3566	C₂×C₅₃	1	4	yes	complemented
1166	#3565	C₂×C₅₃	1	2	yes	complemented
1167	#3564	C₂×C₅₃	1	2	yes	complemented
1168	#3563	C₂×C₅₃	1	1	yes	characteristic, complemented
1169	#3562	C₂×C₅₃	1	2	yes	complemented
1170	#3561	C₂×C₅₃	1	1	yes	characteristic, complemented
1171	#3560	C₂×C₅₃	1	2	yes	complemented
1172	#3559	C₂×C₅₃	1	1	yes	characteristic, complemented
1173	#3558	C₂×C₅₃	1	1	yes	characteristic, complemented
1174	#3557	C₂×C₅₃	1	2	yes	complemented
1175	#3551	C₂×C₅₃	1	2	yes	complemented
1176	#3542	C₂×C₅₃	1	2	yes	complemented
1177	#3541	C₂×C₅₃	1	2	yes	complemented
1178	#3533	C₂×C₅₃	1	4	yes	complemented
1179	#3531	C₂×C₅₃	1	2	yes	complemented
1180	#3529	C₂×C₅₃	1	2	yes	complemented
1181	#3482	C₂×C₅₃	1	2	yes	complemented
1182	#3481	C₂×C₅₃	1	2	yes	complemented
1183	#3480	C₂×C₅₃	1	2	yes	complemented
1184	#3475	C₂×C₅₃	1	4	yes	complemented
1185	#3475	C₂×C₅₃	1	2	yes	complemented
1186	#3461	C₂×C₅₃	1	2	yes	complemented
1187	#3460	C₂×C₅₃	1	2	yes	complemented
1188	#3460	C₂×C₅₃	1	2	yes	complemented
1189	#3459	C₂×C₅₃	1	2	yes	complemented
1190	#3455	C₂×C₅₃	1	4	yes	complemented
1191	#3444	C₂×C₅₃	1	1	yes	characteristic, complemented
1192	#3444	C₂×C₅₃	1	1	yes	characteristic, complemented
1193	C₂×#529	C₂×C₅₃	1	1	yes	characteristic, complemented
1194	C₂×C₅₃	—	2	2	no	—
1195	C₂×C₅₃	—	4	2	no	—
1196	C₂×C₅₃	—	4	1	no	—
1197	C₂×C₅₃	—	4	1	no	—
1198	C₂×C₅₃	—	4	4	no	—
1199	C₂×C₅₃	—	4	2	no	—
1200	C₂×C₅₃	—	4	4	no	—
1201	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1202	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1203	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1204	#564	C₂²×C₅₃	1	2	yes	complemented
1205	#563	C₂²×C₅₃	1	4	yes	complemented
1206	#563	C₂²×C₅₃	1	2	yes	complemented
1207	#563	C₂²×C₅₃	1	4	yes	complemented
1208	#563	C₂²×C₅₃	1	4	yes	complemented
1209	#563	C₂²×C₅₃	1	4	yes	complemented
1210	#563	C₂²×C₅₃	1	4	yes	complemented
1211	#563	C₂²×C₅₃	1	2	yes	complemented
1212	#563	C₂²×C₅₃	1	2	yes	complemented
1213	#562	C₂²×C₅₃	1	4	yes	complemented
1214	#562	C₂²×C₅₃	1	4	yes	complemented
1215	#562	C₂²×C₅₃	1	2	yes	complemented
1216	#562	C₂²×C₅₃	1	2	yes	complemented
1217	#562	C₂²×C₅₃	1	4	yes	complemented
1218	#562	C₂²×C₅₃	1	4	yes	complemented
1219	#562	C₂²×C₅₃	1	2	yes	complemented
1220	H(3,𝔽₄)	C₂²×C₅₃	1	2	yes	complemented
1221	#560	C₂²×C₅₃	1	4	yes	complemented
1222	#560	C₂²×C₅₃	1	4	yes	complemented
1223	#560	C₂²×C₅₃	1	4	yes	complemented
1224	#559	C₂²×C₅₃	1	4	yes	complemented
1225	#559	C₂²×C₅₃	1	2	yes	complemented
1226	#559	C₂²×C₅₃	1	2	yes	complemented
1227	#557	C₂²×C₅₃	1	2	yes	complemented
1228	#557	C₂²×C₅₃	1	2	yes	complemented
1229	#556	C₂²×C₅₃	1	2	yes	complemented
1230	#556	C₂²×C₅₃	1	4	yes	complemented
1231	#556	C₂²×C₅₃	1	2	yes	complemented
1232	#556	C₂²×C₅₃	1	4	yes	complemented
1233	#556	C₂²×C₅₃	1	2	yes	complemented
1234	#556	C₂²×C₅₃	1	4	yes	complemented
1235	#555	C₂²×C₅₃	1	2	yes	—
1236	#555	C₂²×C₅₃	1	4	yes	complemented
1237	#554	C₂²×C₅₃	1	4	yes	complemented
1238	#554	C₂²×C₅₃	1	2	yes	complemented
1239	#554	C₂²×C₅₃	1	2	yes	complemented
1240	#554	C₂²×C₅₃	1	2	yes	complemented
1241	#553	C₂²×C₅₃	1	4	yes	complemented
1242	#553	C₂²×C₅₃	1	4	yes	complemented
1243	#553	C₂²×C₅₃	1	4	yes	complemented
1244	#553	C₂²×C₅₃	1	4	yes	complemented
1245	#553	C₂²×C₅₃	1	2	yes	complemented
1246	#553	C₂²×C₅₃	1	2	yes	complemented
1247	#553	C₂²×C₅₃	1	4	yes	complemented
1248	#553	C₂²×C₅₃	1	2	yes	complemented
1249	#553	C₂²×C₅₃	1	2	yes	complemented
1250	#553	C₂²×C₅₃	1	4	yes	complemented
1251	#552	C₂²×C₅₃	1	4	yes	complemented
1252	#552	C₂²×C₅₃	1	2	yes	complemented
1253	#552	C₂²×C₅₃	1	2	yes	complemented
1254	#552	C₂²×C₅₃	1	4	yes	complemented
1255	#552	C₂²×C₅₃	1	4	yes	complemented
1256	#552	C₂²×C₅₃	1	4	yes	complemented
1257	#552	C₂²×C₅₃	1	4	yes	complemented
1258	#552	C₂²×C₅₃	1	4	yes	complemented
1259	#552	C₂²×C₅₃	1	2	yes	complemented
1260	#552	C₂²×C₅₃	1	2	yes	complemented
1261	#552	C₂²×C₅₃	1	4	yes	complemented
1262	#551	C₂²×C₅₃	1	4	yes	complemented
1263	#551	C₂²×C₅₃	1	4	yes	complemented
1264	#551	C₂²×C₅₃	1	4	yes	complemented
1265	#551	C₂²×C₅₃	1	4	yes	complemented
1266	#551	C₂²×C₅₃	1	4	yes	complemented
1267	#551	C₂²×C₅₃	1	4	yes	complemented
1268	#551	C₂²×C₅₃	1	4	yes	complemented
1269	#551	C₂²×C₅₃	1	4	yes	complemented
1270	#550	C₂²×C₅₃	1	2	yes	—
1271	D₄×Q₈	C₂²×C₅₃	1	2	yes	complemented
1272	#548	C₂²×C₅₃	1	2	yes	—
1273	#548	C₂²×C₅₃	1	2	yes	complemented
1274	#548	C₂²×C₅₃	1	2	yes	complemented
1275	#548	C₂²×C₅₃	1	2	yes	complemented
1276	#547	C₂²×C₅₃	1	4	yes	complemented
1277	#547	C₂²×C₅₃	1	2	yes	complemented
1278	#547	C₂²×C₅₃	1	4	yes	complemented
1279	#547	C₂²×C₅₃	1	2	yes	complemented
1280	#546	C₂²×C₅₃	1	4	yes	—
1281	#546	C₂²×C₅₃	1	2	yes	—
1282	#546	C₂²×C₅₃	1	4	yes	complemented
1283	#546	C₂²×C₅₃	1	2	yes	complemented
1284	#546	C₂²×C₅₃	1	2	yes	complemented
1285	#546	C₂²×C₅₃	1	4	yes	complemented
1286	#546	C₂²×C₅₃	1	2	yes	complemented
1287	D₄²	C₂²×C₅₃	1	2	yes	—
1288	#544	C₂²×C₅₃	1	2	yes	complemented
1289	#544	C₂²×C₅₃	1	2	yes	complemented
1290	#544	C₂²×C₅₃	1	2	yes	complemented
1291	#543	C₂²×C₅₃	1	2	yes	complemented
1292	#542	C₂²×C₅₃	1	4	yes	complemented
1293	#542	C₂²×C₅₃	1	4	yes	complemented
1294	#542	C₂²×C₅₃	1	4	yes	complemented
1295	#542	C₂²×C₅₃	1	4	yes	complemented
1296	#542	C₂²×C₅₃	1	2	yes	complemented
1297	#542	C₂²×C₅₃	1	4	yes	complemented
1298	#542	C₂²×C₅₃	1	2	yes	complemented
1299	#542	C₂²×C₅₃	1	4	yes	complemented
1300	#542	C₂²×C₅₃	1	4	yes	complemented
1301	#542	C₂²×C₅₃	1	4	yes	complemented
1302	#542	C₂²×C₅₃	1	2	yes	complemented
1303	#542	C₂²×C₅₃	1	2	yes	complemented
1304	#541	C₂²×C₅₃	1	4	yes	complemented
1305	#541	C₂²×C₅₃	1	4	yes	complemented
1306	#541	C₂²×C₅₃	1	2	yes	complemented
1307	#541	C₂²×C₅₃	1	2	yes	complemented
1308	#541	C₂²×C₅₃	1	4	yes	complemented
1309	#540	C₂²×C₅₃	1	2	yes	—
1310	#540	C₂²×C₅₃	1	4	yes	complemented
1311	#540	C₂²×C₅₃	1	4	yes	complemented
1312	#540	C₂²×C₅₃	1	4	yes	complemented
1313	#540	C₂²×C₅₃	1	4	yes	complemented
1314	#540	C₂²×C₅₃	1	2	yes	complemented
1315	#540	C₂²×C₅₃	1	4	yes	complemented
1316	#539	C₂²×C₅₃	1	2	yes	—
1317	#539	C₂²×C₅₃	1	4	yes	complemented
1318	#539	C₂²×C₅₃	1	4	yes	complemented
1319	#539	C₂²×C₅₃	1	4	yes	complemented
1320	#539	C₂²×C₅₃	1	4	yes	complemented
1321	#539	C₂²×C₅₃	1	4	yes	complemented
1322	#539	C₂²×C₅₃	1	2	yes	complemented
1323	#539	C₂²×C₅₃	1	4	yes	complemented
1324	#539	C₂²×C₅₃	1	4	yes	complemented
1325	#539	C₂²×C₅₃	1	4	yes	complemented
1326	#538	C₂²×C₅₃	1	2	yes	—
1327	#538	C₂²×C₅₃	1	4	yes	complemented
1328	#538	C₂²×C₅₃	1	4	yes	complemented
1329	#538	C₂²×C₅₃	1	4	yes	complemented
1330	#538	C₂²×C₅₃	1	4	yes	complemented
1331	#538	C₂²×C₅₃	1	4	yes	complemented
1332	#538	C₂²×C₅₃	1	4	yes	complemented
1333	#538	C₂²×C₅₃	1	4	yes	complemented
1334	#538	C₂²×C₅₃	1	4	yes	complemented
1335	#538	C₂²×C₅₃	1	4	yes	complemented
1336	#538	C₂²×C₅₃	1	2	yes	complemented
1337	#538	C₂²×C₅₃	1	4	yes	complemented
1338	#537	C₂²×C₅₃	1	2	yes	—
1339	#537	C₂²×C₅₃	1	2	yes	complemented
1340	#537	C₂²×C₅₃	1	2	yes	complemented
1341	#536	C₂²×C₅₃	1	2	yes	complemented
1342	#536	C₂²×C₅₃	1	2	yes	complemented
1343	#535	C₂²×C₅₃	1	4	yes	complemented
1344	#535	C₂²×C₅₃	1	2	yes	complemented
1345	#535	C₂²×C₅₃	1	2	yes	complemented
1346	#534	C₂²×C₅₃	1	2	yes	—
1347	#534	C₂²×C₅₃	1	4	yes	complemented
1348	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1349	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1350	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1351	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1352	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1353	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1354	#533	C₂²×C₅₃	1	4	yes	complemented
1355	#533	C₂²×C₅₃	1	2	yes	complemented
1356	#533	C₂²×C₅₃	1	4	yes	complemented
1357	#532	C₂²×C₅₃	1	1	yes	characteristic
1358	#532	C₂²×C₅₃	1	1	yes	characteristic
1359	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1360	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1361	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1362	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1363	#532	C₂²×C₅₃	1	4	yes	complemented
1364	#532	C₂²×C₅₃	1	2	yes	complemented
1365	#532	C₂²×C₅₃	1	4	yes	complemented
1366	#529	C₂²×C₅₃	1	1	yes	characteristic
1367	#529	C₂²×C₅₃	1	2	yes	complemented
1368	#529	C₂²×C₅₃	1	2	yes	complemented
1369	#529	C₂²×C₅₃	1	2	yes	complemented
1370	#529	C₂²×C₅₃	1	2	yes	complemented
1371	#529	C₂²×C₅₃	1	2	yes	complemented
1372	#529	C₂²×C₅₃	1	2	yes	complemented
1373	#529	C₂²×C₅₃	1	2	yes	complemented
1374	#529	C₂²×C₅₃	1	2	yes	complemented
1375	#529	C₂²×C₅₃	1	2	yes	complemented
1376	#529	C₂²×C₅₃	1	2	yes	complemented
1377	#529	C₂²×C₅₃	1	2	yes	complemented
1378	#529	C₂²×C₅₃	1	2	yes	complemented
1379	#529	C₂²×C₅₃	1	2	yes	complemented
1380	#529	C₂²×C₅₃	1	1	yes	characteristic, complemented
1381	#529	C₂²×C₅₃	1	2	yes	complemented
1382	#529	C₂²×C₅₃	1	2	yes	complemented
1383	#529	C₂²×C₅₃	1	2	yes	complemented
1384	#529	C₂²×C₅₃	1	2	yes	complemented
1385	#529	C₂²×C₅₃	1	1	yes	characteristic, complemented
1386	#529	C₂²×C₅₃	1	2	yes	complemented
1387	#529	C₂²×C₅₃	1	1	yes	characteristic, complemented
1388	#529	C₂²×C₅₃	1	4	yes	complemented
1389	#529	C₂²×C₅₃	1	4	yes	complemented
1390	#529	C₂²×C₅₃	1	4	yes	complemented
1391	#529	C₂²×C₅₃	1	4	yes	complemented
1392	#529	C₂²×C₅₃	1	4	yes	complemented
1393	#529	C₂²×C₅₃	1	4	yes	complemented
1394	#529	C₂²×C₅₃	1	4	yes	complemented
1395	#529	C₂²×C₅₃	1	4	yes	complemented
1396	#529	C₂²×C₅₃	1	4	yes	complemented
1397	#529	C₂²×C₅₃	1	4	yes	complemented
1398	#529	C₂²×C₅₃	1	2	yes	complemented
1399	#529	C₂²×C₅₃	1	2	yes	complemented
1400	#529	C₂²×C₅₃	1	4	yes	complemented
1401	C₂×#126	C₂²×C₅₃	1	2	yes	complemented
1402	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic, complemented
1403	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic
1404	#525	C₂²×C₅₃	1	1	yes	characteristic
1405	#525	C₂²×C₅₃	1	2	yes	complemented
1406	#525	C₂²×C₅₃	1	1	yes	characteristic, complemented
1407	#525	C₂²×C₅₃	1	2	yes	complemented
1408	#525	C₂²×C₅₃	1	2	yes	complemented
1409	#525	C₂²×C₅₃	1	2	yes	complemented
1410	#525	C₂²×C₅₃	1	2	yes	complemented
1411	#525	C₂²×C₅₃	1	4	yes	complemented
1412	#525	C₂²×C₅₃	1	4	yes	complemented
1413	#525	C₂²×C₅₃	1	4	yes	complemented
1414	#525	C₂²×C₅₃	1	4	yes	complemented
1415	#525	C₂²×C₅₃	1	4	yes	complemented
1416	C₂×#123	C₂²×C₅₃	1	2	yes	complemented
1417	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
1418	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
1419	C₄×#41	C₂²×C₅₃	1	2	yes	complemented
1420	C₄×#41	C₂²×C₅₃	1	2	yes	complemented
1421	C₄×#41	C₂²×C₅₃	1	2	yes	complemented
1422	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1423	C₄×#41	C₂²×C₅₃	1	2	yes	complemented
1424	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1425	C₄×#41	C₂²×C₅₃	1	2	yes	complemented
1426	C₄×#41	C₂²×C₅₃	1	4	yes	complemented
1427	C₄×#41	C₂²×C₅₃	1	4	yes	complemented
1428	C₄×#41	C₂²×C₅₃	1	2	yes	complemented
1429	C₄×#41	C₂²×C₅₃	1	2	yes	complemented
1430	C₂×C₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
1431	C₂×C₄×Q₈	C₂²×C₅₃	1	2	yes	complemented
1432	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
1433	C₂×C₄×D₄	C₂²×C₅₃	1	2	yes	complemented
1434	C₂×C₄×D₄	C₂²×C₅₃	1	4	yes	complemented
1435	C₂×C₄×D₄	C₂²×C₅₃	1	2	yes	complemented
1436	C₂×#117	C₂²×C₅₃	1	2	yes	complemented
1437	C₂×#117	C₂²×C₅₃	1	4	yes	complemented
1438	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic, complemented
1439	C₅₃	#62743	1	1	yes	characteristic, direct product factor, Sylow
1440	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1441	C₂×#41	C₂³×C₅₃	1	4	yes	—
1442	C₂×#41	C₂³×C₅₃	1	2	yes	—
1443	C₂×#41	C₂³×C₅₃	1	2	yes	—
1444	C₂×#41	C₂³×C₅₃	1	2	yes	—
1445	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1446	C₂×#41	C₂³×C₅₃	1	2	yes	—
1447	C₂×#41	C₂³×C₅₃	1	2	yes	—
1448	C₂×#41	C₂³×C₅₃	1	4	yes	—
1449	C₂×#41	C₂³×C₅₃	1	2	yes	—
1450	C₂×#41	C₂³×C₅₃	1	2	yes	—
1451	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1452	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1453	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1454	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1455	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1456	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1457	C₂³×C₄	C₂³×C₅₃	1	2	yes	—
1458	C₂³×C₄	C₂³×C₅₃	1	4	yes	—
1459	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1460	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1461	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1462	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1463	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1464	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1465	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1466	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1467	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1468	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1469	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1470	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1471	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1472	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1473	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1474	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1475	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1476	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1477	#127	C₂³×C₅₃	1	1	yes	characteristic
1478	#127	C₂³×C₅₃	1	1	yes	characteristic
1479	#127	C₂³×C₅₃	1	4	yes	—
1480	#127	C₂³×C₅₃	1	2	yes	—
1481	#127	C₂³×C₅₃	1	4	yes	—
1482	#126	C₂³×C₅₃	1	4	yes	—
1483	#126	C₂³×C₅₃	1	4	yes	—
1484	#126	C₂³×C₅₃	1	4	yes	—
1485	#126	C₂³×C₅₃	1	4	yes	—
1486	#126	C₂³×C₅₃	1	2	yes	—
1487	#126	C₂³×C₅₃	1	2	yes	—
1488	#126	C₂³×C₅₃	1	2	yes	—
1489	#126	C₂³×C₅₃	1	4	yes	—
1490	#126	C₂³×C₅₃	1	2	yes	—
1491	#126	C₂³×C₅₃	1	4	yes	—
1492	#126	C₂³×C₅₃	1	4	yes	—
1493	#126	C₂³×C₅₃	1	4	yes	—
1494	#126	C₂³×C₅₃	1	4	yes	—
1495	#126	C₂³×C₅₃	1	4	yes	—
1496	#126	C₂³×C₅₃	1	4	yes	—
1497	#126	C₂³×C₅₃	1	4	yes	—
1498	#126	C₂³×C₅₃	1	4	yes	—
1499	#126	C₂³×C₅₃	1	4	yes	—
1500	#126	C₂³×C₅₃	1	4	yes	—
1501	#126	C₂³×C₅₃	1	4	yes	—
1502	#126	C₂³×C₅₃	1	4	yes	—
1503	#126	C₂³×C₅₃	1	4	yes	—
1504	#126	C₂³×C₅₃	1	4	yes	—
1505	#126	C₂³×C₅₃	1	4	yes	—
1506	#126	C₂³×C₅₃	1	4	yes	—
1507	#126	C₂³×C₅₃	1	4	yes	—
1508	#126	C₂³×C₅₃	1	4	yes	—
1509	#126	C₂³×C₅₃	1	4	yes	—
1510	#126	C₂³×C₅₃	1	4	yes	—
1511	#126	C₂³×C₅₃	1	4	yes	—
1512	#126	C₂³×C₅₃	1	4	yes	—
1513	#126	C₂³×C₅₃	1	4	yes	—
1514	#126	C₂³×C₅₃	1	4	yes	—
1515	#126	C₂³×C₅₃	1	4	yes	—
1516	#125	C₂³×C₅₃	1	2	yes	—
1517	#125	C₂³×C₅₃	1	2	yes	—
1518	#125	C₂³×C₅₃	1	2	yes	—
1519	#125	C₂³×C₅₃	1	2	yes	—
1520	#125	C₂³×C₅₃	1	1	yes	characteristic
1521	#125	C₂³×C₅₃	1	2	yes	—
1522	#125	C₂³×C₅₃	1	2	yes	—
1523	#125	C₂³×C₅₃	1	2	yes	—
1524	#125	C₂³×C₅₃	1	2	yes	—
1525	#125	C₂³×C₅₃	1	2	yes	—
1526	#125	C₂³×C₅₃	1	1	yes	characteristic
1527	#125	C₂³×C₅₃	1	4	yes	—
1528	#125	C₂³×C₅₃	1	4	yes	—
1529	#125	C₂³×C₅₃	1	4	yes	—
1530	#125	C₂³×C₅₃	1	4	yes	—
1531	#125	C₂³×C₅₃	1	4	yes	—
1532	#125	C₂³×C₅₃	1	4	yes	—
1533	#125	C₂³×C₅₃	1	4	yes	—
1534	#125	C₂³×C₅₃	1	4	yes	—
1535	#125	C₂³×C₅₃	1	2	yes	—
1536	#125	C₂³×C₅₃	1	4	yes	—
1537	#125	C₂³×C₅₃	1	4	yes	—
1538	#125	C₂³×C₅₃	1	4	yes	—
1539	#125	C₂³×C₅₃	1	2	yes	—
1540	#125	C₂³×C₅₃	1	4	yes	—
1541	#125	C₂³×C₅₃	1	4	yes	—
1542	#125	C₂³×C₅₃	1	4	yes	—
1543	#125	C₂³×C₅₃	1	4	yes	—
1544	#125	C₂³×C₅₃	1	4	yes	—
1545	#124	C₂³×C₅₃	1	2	yes	—
1546	#124	C₂³×C₅₃	1	2	yes	—
1547	#124	C₂³×C₅₃	1	2	yes	—
1548	#124	C₂³×C₅₃	1	2	yes	—
1549	#124	C₂³×C₅₃	1	1	yes	characteristic
1550	#124	C₂³×C₅₃	1	2	yes	—
1551	#124	C₂³×C₅₃	1	2	yes	—
1552	#124	C₂³×C₅₃	1	2	yes	—
1553	#124	C₂³×C₅₃	1	2	yes	—
1554	#124	C₂³×C₅₃	1	2	yes	—
1555	#124	C₂³×C₅₃	1	1	yes	characteristic
1556	#124	C₂³×C₅₃	1	4	yes	—
1557	#124	C₂³×C₅₃	1	2	yes	—
1558	#124	C₂³×C₅₃	1	4	yes	—
1559	#124	C₂³×C₅₃	1	4	yes	—
1560	#124	C₂³×C₅₃	1	4	yes	—
1561	#124	C₂³×C₅₃	1	2	yes	—
1562	#124	C₂³×C₅₃	1	4	yes	—
1563	#124	C₂³×C₅₃	1	4	yes	—
1564	#124	C₂³×C₅₃	1	4	yes	—
1565	#124	C₂³×C₅₃	1	4	yes	—
1566	#124	C₂³×C₅₃	1	4	yes	—
1567	#124	C₂³×C₅₃	1	4	yes	—
1568	#124	C₂³×C₅₃	1	4	yes	—
1569	#124	C₂³×C₅₃	1	4	yes	—
1570	#124	C₂³×C₅₃	1	4	yes	—
1571	#124	C₂³×C₅₃	1	4	yes	—
1572	#124	C₂³×C₅₃	1	4	yes	—
1573	#124	C₂³×C₅₃	1	4	yes	—
1574	#123	C₂³×C₅₃	1	4	yes	—
1575	#123	C₂³×C₅₃	1	4	yes	—
1576	#123	C₂³×C₅₃	1	4	yes	—
1577	#123	C₂³×C₅₃	1	4	yes	—
1578	#123	C₂³×C₅₃	1	2	yes	—
1579	#123	C₂³×C₅₃	1	2	yes	—
1580	#123	C₂³×C₅₃	1	2	yes	—
1581	#123	C₂³×C₅₃	1	4	yes	—
1582	#123	C₂³×C₅₃	1	2	yes	—
1583	#123	C₂³×C₅₃	1	2	yes	—
1584	#123	C₂³×C₅₃	1	4	yes	—
1585	#123	C₂³×C₅₃	1	2	yes	—
1586	#123	C₂³×C₅₃	1	4	yes	—
1587	#123	C₂³×C₅₃	1	4	yes	—
1588	#123	C₂³×C₅₃	1	4	yes	—
1589	#123	C₂³×C₅₃	1	4	yes	—
1590	#123	C₂³×C₅₃	1	4	yes	—
1591	#123	C₂³×C₅₃	1	4	yes	—
1592	#123	C₂³×C₅₃	1	4	yes	—
1593	#123	C₂³×C₅₃	1	4	yes	—
1594	#123	C₂³×C₅₃	1	4	yes	—
1595	#123	C₂³×C₅₃	1	4	yes	—
1596	#123	C₂³×C₅₃	1	4	yes	—
1597	#123	C₂³×C₅₃	1	4	yes	—
1598	#123	C₂³×C₅₃	1	4	yes	—
1599	#123	C₂³×C₅₃	1	4	yes	—
1600	#123	C₂³×C₅₃	1	4	yes	—
1601	#123	C₂³×C₅₃	1	4	yes	—
1602	#123	C₂³×C₅₃	1	4	yes	—
1603	#123	C₂³×C₅₃	1	4	yes	—
1604	#123	C₂³×C₅₃	1	4	yes	—
1605	#123	C₂³×C₅₃	1	4	yes	—
1606	#123	C₂³×C₅₃	1	4	yes	—
1607	#123	C₂³×C₅₃	1	4	yes	—
1608	#123	C₂³×C₅₃	1	4	yes	—
1609	#123	C₂³×C₅₃	1	4	yes	—
1610	#123	C₂³×C₅₃	1	4	yes	—
1611	#123	C₂³×C₅₃	1	4	yes	—
1612	#123	C₂³×C₅₃	1	4	yes	—
1613	#123	C₂³×C₅₃	1	4	yes	—
1614	#123	C₂³×C₅₃	1	4	yes	—
1615	#123	C₂³×C₅₃	1	4	yes	—
1616	#123	C₂³×C₅₃	1	4	yes	—
1617	#123	C₂³×C₅₃	1	4	yes	—
1618	#123	C₂³×C₅₃	1	4	yes	—
1619	#123	C₂³×C₅₃	1	4	yes	—
1620	#123	C₂³×C₅₃	1	4	yes	—
1621	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1622	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1623	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1624	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1625	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1626	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1627	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1628	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1629	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1630	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1631	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1632	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1633	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1634	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1635	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1636	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1637	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1638	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1639	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1640	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1641	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1642	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1643	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1644	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1645	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1646	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1647	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1648	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1649	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1650	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1651	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1652	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1653	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1654	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1655	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1656	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1657	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1658	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1659	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1660	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1661	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1662	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1663	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1664	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1665	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1666	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1667	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1668	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1669	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1670	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1671	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1672	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1673	#121	C₂³×C₅₃	1	2	yes	—
1674	#121	C₂³×C₅₃	1	2	yes	—
1675	#121	C₂³×C₅₃	1	2	yes	—
1676	#121	C₂³×C₅₃	1	2	yes	—
1677	#121	C₂³×C₅₃	1	1	yes	characteristic
1678	#121	C₂³×C₅₃	1	1	yes	characteristic
1679	#121	C₂³×C₅₃	1	2	yes	—
1680	#121	C₂³×C₅₃	1	1	yes	characteristic
1681	#121	C₂³×C₅₃	1	2	yes	—
1682	#121	C₂³×C₅₃	1	2	yes	—
1683	#121	C₂³×C₅₃	1	2	yes	—
1684	#121	C₂³×C₅₃	1	2	yes	—
1685	#121	C₂³×C₅₃	1	2	yes	—
1686	#121	C₂³×C₅₃	1	2	yes	—
1687	#121	C₂³×C₅₃	1	1	yes	characteristic
1688	#121	C₂³×C₅₃	1	2	yes	—
1689	#121	C₂³×C₅₃	1	2	yes	—
1690	#121	C₂³×C₅₃	1	2	yes	—
1691	#121	C₂³×C₅₃	1	4	yes	—
1692	#121	C₂³×C₅₃	1	4	yes	—
1693	#121	C₂³×C₅₃	1	4	yes	—
1694	#121	C₂³×C₅₃	1	4	yes	—
1695	#121	C₂³×C₅₃	1	4	yes	—
1696	#121	C₂³×C₅₃	1	4	yes	—
1697	#121	C₂³×C₅₃	1	4	yes	—
1698	#121	C₂³×C₅₃	1	4	yes	—
1699	#121	C₂³×C₅₃	1	4	yes	—
1700	#121	C₂³×C₅₃	1	4	yes	—
1701	#121	C₂³×C₅₃	1	4	yes	—
1702	#121	C₂³×C₅₃	1	4	yes	—
1703	#121	C₂³×C₅₃	1	4	yes	—
1704	#121	C₂³×C₅₃	1	4	yes	—
1705	#121	C₂³×C₅₃	1	4	yes	—
1706	#121	C₂³×C₅₃	1	4	yes	—
1707	#121	C₂³×C₅₃	1	2	yes	—
1708	#121	C₂³×C₅₃	1	4	yes	—
1709	#121	C₂³×C₅₃	1	2	yes	—
1710	#121	C₂³×C₅₃	1	4	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	2	yes	—
1717	#121	C₂³×C₅₃	1	4	yes	—
1718	#121	C₂³×C₅₃	1	4	yes	—
1719	#121	C₂³×C₅₃	1	4	yes	—
1720	#121	C₂³×C₅₃	1	2	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	#120	C₂³×C₅₃	1	2	yes	—
1726	#120	C₂³×C₅₃	1	4	yes	—
1727	#120	C₂³×C₅₃	1	2	yes	—
1728	#120	C₂³×C₅₃	1	4	yes	—
1729	#120	C₂³×C₅₃	1	4	yes	—
1730	#120	C₂³×C₅₃	1	4	yes	—
1731	#120	C₂³×C₅₃	1	4	yes	—
1732	#120	C₂³×C₅₃	1	4	yes	—
1733	#120	C₂³×C₅₃	1	4	yes	—
1734	#120	C₂³×C₅₃	1	4	yes	—
1735	#120	C₂³×C₅₃	1	4	yes	—
1736	#120	C₂³×C₅₃	1	4	yes	—
1737	#120	C₂³×C₅₃	1	4	yes	—
1738	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1739	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1740	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1741	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1742	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1743	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1744	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1745	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1746	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1747	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1748	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1749	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1750	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1751	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1752	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1753	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1754	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1755	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1756	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1757	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1758	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1759	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1760	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1761	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1762	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1763	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1764	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1765	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1766	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1767	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1768	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1769	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1770	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1771	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1772	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1773	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1774	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1775	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1776	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1777	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1778	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1779	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1780	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1781	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1782	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1783	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1784	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1785	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1786	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1787	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1788	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1789	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1790	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1791	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1792	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1793	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1794	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1795	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1796	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1797	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1798	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1799	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1800	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1801	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1802	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1803	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1804	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1805	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1806	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1807	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1808	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1809	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1810	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1811	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1812	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1813	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1814	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1815	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1816	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1817	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1818	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1819	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1820	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1821	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1822	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1823	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1824	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1825	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1826	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1827	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1828	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1829	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1830	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1831	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1832	#117	C₂³×C₅₃	1	4	yes	—
1833	#117	C₂³×C₅₃	1	2	yes	—
1834	#117	C₂³×C₅₃	1	4	yes	—
1835	#117	C₂³×C₅₃	1	4	yes	—
1836	#117	C₂³×C₅₃	1	4	yes	—
1837	#117	C₂³×C₅₃	1	4	yes	—
1838	#117	C₂³×C₅₃	1	4	yes	—
1839	#117	C₂³×C₅₃	1	4	yes	—
1840	#117	C₂³×C₅₃	1	4	yes	—
1841	#117	C₂³×C₅₃	1	4	yes	—
1842	#117	C₂³×C₅₃	1	4	yes	—
1843	#117	C₂³×C₅₃	1	2	yes	—
1844	#117	C₂³×C₅₃	1	1	yes	characteristic
1845	#117	C₂³×C₅₃	1	1	yes	characteristic
1846	#117	C₂³×C₅₃	1	4	yes	—
1847	#117	C₂³×C₅₃	1	2	yes	—
1848	#117	C₂³×C₅₃	1	4	yes	—
1849	#117	C₂³×C₅₃	1	2	yes	—
1850	#117	C₂³×C₅₃	1	2	yes	—
1851	#117	C₂³×C₅₃	1	2	yes	—
1852	#117	C₂³×C₅₃	1	2	yes	—
1853	#117	C₂³×C₅₃	1	2	yes	—
1854	#117	C₂³×C₅₃	1	2	yes	—
1855	#117	C₂³×C₅₃	1	2	yes	—
1856	#117	C₂³×C₅₃	1	4	yes	—
1857	#117	C₂³×C₅₃	1	4	yes	—
1858	#117	C₂³×C₅₃	1	2	yes	—
1859	#117	C₂³×C₅₃	1	4	yes	—
1860	#117	C₂³×C₅₃	1	2	yes	—
1861	#117	C₂³×C₅₃	1	2	yes	—
1862	#117	C₂³×C₅₃	1	4	yes	—
1863	#117	C₂³×C₅₃	1	4	yes	—
1864	#117	C₂³×C₅₃	1	4	yes	—
1865	#117	C₂³×C₅₃	1	4	yes	—
1866	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1867	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1868	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1869	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1870	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1871	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1872	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1873	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1874	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1875	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1876	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1877	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1878	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1879	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1880	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1881	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1882	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1883	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1884	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1885	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1886	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1887	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1888	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1889	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1890	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1891	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1892	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1893	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1894	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1895	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1896	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1897	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1898	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1899	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1900	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1901	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1902	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1903	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1904	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1905	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1906	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1907	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1908	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1909	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1910	#41	—	4	2	no	—
1911	#41	—	4	8	no	—
1912	#41	—	4	4	no	—
1913	#41	—	4	4	no	—
1914	#41	—	4	2	no	—
1915	#41	—	4	4	no	—
1916	#41	—	4	4	no	—
1917	#41	—	4	8	no	—
1918	#41	—	4	4	no	—
1919	#41	—	4	4	no	—
1920	#41	—	4	4	no	—
1921	C₂×Q₈	—	4	2	no	—
1922	C₂×Q₈	—	4	4	no	—
1923	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1924	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1925	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1926	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1927	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1928	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1929	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1930	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1931	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1932	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1933	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1934	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1935	C₂×D₄	—	4	2	no	—
1936	C₂×D₄	—	4	4	no	—
1937	C₂×D₄	—	4	4	no	—
1938	C₂×D₄	—	4	8	no	—
1939	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1940	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1941	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1942	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1943	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1944	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1945	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1946	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1947	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1948	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1949	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1950	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1951	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1952	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1953	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1954	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1955	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1956	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1957	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1958	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1959	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1960	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1961	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1962	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1963	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1964	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1965	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1966	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1967	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1968	C₂²×C₄	—	4	4	no	—
1969	C₂²×C₄	—	4	2	no	—
1970	C₂²×C₄	—	4	8	no	—
1971	C₂²×C₄	—	4	2	no	—
1972	C₂²×C₄	—	4	2	no	—
1973	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1974	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1975	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1976	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1977	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1978	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1979	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1980	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1981	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1982	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1983	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1984	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1985	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1986	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1987	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1988	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1989	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1990	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1991	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1992	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1993	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1994	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1995	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1996	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1997	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1998	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1999	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2000	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2001	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2002	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2003	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2004	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2005	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2006	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2007	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2008	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2009	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
2010	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2011	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2012	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2013	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
2014	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2015	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2016	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2017	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2018	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2019	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2020	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2021	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2022	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2023	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2024	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2025	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2026	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2027	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2028	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2029	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2030	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2031	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2032	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2033	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2034	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2035	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2036	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2037	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2038	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2039	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2040	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2041	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2042	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2043	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2044	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2045	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2046	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2047	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2048	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2049	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2050	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2051	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2052	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2053	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2054	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2055	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2056	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2057	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2058	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2059	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2060	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2061	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2062	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2063	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2064	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2065	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2066	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2067	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2068	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2069	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2070	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2071	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2072	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2073	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2074	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2075	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2076	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2077	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2078	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2079	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2080	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2081	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2082	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2083	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2084	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2085	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2086	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2087	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2088	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2089	C₂²⋊C₄	C₂⁴×C₅₃	1	4	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	4	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	4	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	2	yes	—
2104	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2105	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2106	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2107	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2108	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2109	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2110	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2111	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2112	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2113	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2114	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2115	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2116	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2117	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2118	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2119	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2120	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2121	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2122	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2123	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2124	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2125	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2126	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2127	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2128	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2129	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2130	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2131	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2132	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2133	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2134	C₄²	C₂⁴×C₅₃	1	4	yes	—
2135	C₄²	C₂⁴×C₅₃	1	2	yes	—
2136	C₄²	C₂⁴×C₅₃	1	2	yes	—
2137	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2138	C₄²	C₂⁴×C₅₃	1	4	yes	—
2139	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2140	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2141	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2142	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2143	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2144	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2145	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2146	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2147	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2148	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2149	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2150	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2151	C₄²	C₂⁴×C₅₃	1	4	yes	—
2152	C₄²	C₂⁴×C₅₃	1	2	yes	—
2153	C₄²	C₂⁴×C₅₃	1	4	yes	—
2154	C₄²	C₂⁴×C₅₃	1	4	yes	—
2155	C₄²	C₂⁴×C₅₃	1	4	yes	—
2156	C₄²	C₂⁴×C₅₃	1	2	yes	—
2157	C₄²	C₂⁴×C₅₃	1	2	yes	—
2158	C₄²	C₂⁴×C₅₃	1	2	yes	—
2159	C₄²	C₂⁴×C₅₃	1	4	yes	—
2160	C₄²	C₂⁴×C₅₃	1	4	yes	—
2161	C₄²	C₂⁴×C₅₃	1	4	yes	—
2162	C₄²	C₂⁴×C₅₃	1	4	yes	—
2163	C₄²	C₂⁴×C₅₃	1	4	yes	—
2164	C₂³	—	2	2	no	—
2165	C₂³	—	2	4	no	—
2166	C₂³	—	4	1	no	—
2167	C₂³	—	4	1	no	—
2168	C₂³	—	4	2	no	—
2169	C₂³	—	4	4	no	—
2170	C₂³	—	4	2	no	—
2171	C₂³	—	4	4	no	—
2172	C₂³	—	4	4	no	—
2173	C₂³	C₂⁵×C₅₃	1	2	yes	—
2174	C₂³	C₂⁵×C₅₃	1	4	yes	—
2175	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2176	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2177	C₂³	C₂⁵×C₅₃	1	4	yes	—
2178	C₂³	C₂⁵×C₅₃	1	2	yes	—
2179	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2180	Q₈	—	2	4	no	—
2181	Q₈	—	2	4	no	—
2182	Q₈	—	4	2	no	—
2183	Q₈	—	4	4	no	—
2184	Q₈	—	4	1	no	—
2185	Q₈	—	4	4	no	—
2186	Q₈	—	4	2	no	—
2187	Q₈	—	4	4	no	—
2188	Q₈	—	4	2	no	—
2189	Q₈	—	4	1	no	—
2190	Q₈	—	4	2	no	—
2191	Q₈	—	4	2	no	—
2192	D₄	—	2	4	no	—
2193	D₄	—	2	8	no	—
2194	D₄	—	2	4	no	—
2195	D₄	—	2	4	no	—
2196	D₄	—	2	4	no	—
2197	D₄	—	4	4	no	—
2198	D₄	—	4	4	no	—
2199	D₄	—	4	4	no	—
2200	D₄	—	4	2	no	—
2201	D₄	—	4	4	no	—
2202	D₄	—	4	4	no	—
2203	D₄	—	4	2	no	—
2204	D₄	—	4	4	no	—
2205	D₄	—	4	2	no	—
2206	D₄	—	4	4	no	—
2207	D₄	—	4	2	no	—
2208	D₄	—	4	1	no	—
2209	D₄	—	4	4	no	—
2210	D₄	—	4	4	no	—
2211	D₄	—	4	2	no	—
2212	D₄	—	4	1	no	—
2213	D₄	—	4	2	no	—
2214	D₄	—	4	2	no	—
2215	D₄	—	4	2	no	—
2216	D₄	—	4	4	no	—
2217	D₄	—	4	2	no	—
2218	D₄	—	4	4	no	—
2219	D₄	—	4	4	no	—
2220	D₄	—	4	4	no	—
2221	C₂×C₄	—	2	2	no	—
2222	C₂×C₄	—	2	2	no	—
2223	C₂×C₄	—	2	4	no	—
2224	C₂×C₄	—	2	2	no	—
2225	C₂×C₄	—	2	8	no	—
2226	C₂×C₄	—	2	4	no	—
2227	C₂×C₄	—	2	2	no	—
2228	C₂×C₄	—	2	2	no	—
2229	C₂×C₄	—	2	2	no	—
2230	C₂×C₄	—	2	2	no	—
2231	C₂×C₄	—	2	8	no	—
2232	C₂×C₄	—	2	2	no	—
2233	C₂×C₄	—	2	4	no	—
2234	C₂×C₄	—	2	4	no	—
2235	C₂×C₄	—	2	4	no	—
2236	C₂×C₄	—	4	1	no	—
2237	C₂×C₄	—	4	4	no	—
2238	C₂×C₄	—	4	1	no	—
2239	C₂×C₄	—	4	1	no	—
2240	C₂×C₄	—	4	1	no	—
2241	C₂×C₄	—	4	1	no	—
2242	C₂×C₄	—	4	1	no	—
2243	C₂×C₄	—	4	1	no	—
2244	C₂×C₄	—	4	2	no	—
2245	C₂×C₄	—	4	4	no	—
2246	C₂×C₄	—	4	4	no	—
2247	C₂×C₄	—	4	4	no	—
2248	C₂×C₄	—	4	1	no	—
2249	C₂×C₄	—	4	1	no	—
2250	C₂×C₄	—	4	1	no	—
2251	C₂×C₄	—	4	4	no	—
2252	C₂×C₄	—	4	4	no	—
2253	C₂×C₄	—	4	2	no	—
2254	C₂×C₄	—	4	2	no	—
2255	C₂×C₄	—	4	4	no	—
2256	C₂×C₄	—	4	2	no	—
2257	C₂×C₄	—	4	4	no	—
2258	C₂×C₄	—	4	4	no	—
2259	C₂×C₄	—	4	4	no	—
2260	C₂×C₄	—	4	4	no	—
2261	C₂×C₄	—	4	4	no	—
2262	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2263	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2264	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2265	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2266	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2267	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2268	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2269	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2270	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2271	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2272	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2273	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2274	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2275	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2276	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2277	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2278	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2279	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2280	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2281	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2282	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2283	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2284	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2285	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2286	C₂²	—	2	1	no	—
2287	C₂²	—	2	1	no	—
2288	C₂²	—	2	2	no	—
2289	C₂²	—	2	2	no	—
2290	C₂²	—	2	4	no	—
2291	C₂²	—	2	1	no	—
2292	C₂²	—	2	1	no	—
2293	C₂²	—	2	1	no	—
2294	C₂²	—	2	1	no	—
2295	C₂²	—	2	4	no	—
2296	C₂²	—	2	2	no	—
2297	C₂²	—	2	2	no	—
2298	C₂²	—	2	2	no	—
2299	C₂²	—	2	4	no	—
2300	C₂²	—	2	4	no	—
2301	C₂²	—	2	1	no	—
2302	C₂²	—	2	1	no	—
2303	C₂²	—	2	2	no	—
2304	C₂²	—	2	4	no	—
2305	C₂²	—	2	4	no	—
2306	C₂²	—	4	4	no	—
2307	C₂²	—	8	4	no	—
2308	C₂²	—	8	8	no	—
2309	C₂²	C₅₃×#585	1	2	yes	—
2310	C₂²	C₂⁶×C₅₃	1	1	yes	characteristic
2311	C₄	—	2	1	no	—
2312	C₄	—	2	1	no	—
2313	C₄	—	2	1	no	—
2314	C₄	—	2	1	no	—
2315	C₄	—	2	4	no	—
2316	C₄	—	2	2	no	—
2317	C₄	—	2	4	no	—
2318	C₄	—	2	2	no	—
2319	C₄	—	2	1	no	—
2320	C₄	—	2	1	no	—
2321	C₄	—	2	1	no	—
2322	C₄	—	2	1	no	—
2323	C₄	—	2	1	no	—
2324	C₄	—	2	4	no	—
2325	C₄	—	2	1	no	—
2326	C₄	—	2	2	no	—
2327	C₄	—	2	2	no	—
2328	C₄	—	2	2	no	—
2329	C₄	—	2	4	no	—
2330	C₄	—	2	2	no	—
2331	C₄	—	2	4	no	—
2332	C₄	—	2	4	no	—
2333	C₄	C₅₃×#585	1	2	yes	—
2334	C₄	C₅₃×#585	1	2	yes	—
2335	C₂	—	2	2	no	—
2336	C₂	—	4	1	no	—
2337	C₂	—	4	1	no	—
2338	C₂	—	4	2	no	—
2339	C₂	—	4	4	no	—
2340	C₂	—	4	4	no	—
2341	C₂	—	4	2	no	—
2342	C₂	C₂×C₅₃×#585	1	1	yes	characteristic
2343	C₂	C₂×C₅₃×#585	1	1	yes	characteristic
2344	C₂	C₂×C₅₃×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₅₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅₃
socle	C₂²×C₅₃	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₅₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₃×#3568	C₂	semidirect
2. C₅₃×#3567	C₂	semidirect
3. C₅₃×#3566	C₂	semidirect
4. C₅₃×#3565	C₂	semidirect
5. C₅₃×#3564	C₂	semidirect
6. C₅₃×#3563	C₂	semidirect
7. C₅₃×#3562	C₂	semidirect
8. C₅₃×#3561	C₂	semidirect
9. C₅₃×#3560	C₂	semidirect
10. C₅₃×#3559	C₂	semidirect
11. C₅₃×#3558	C₂	semidirect
12. C₅₃×#3557	C₂	semidirect
13. C₅₃×#3551	C₂	semidirect
14. C₅₃×#3542	C₂	semidirect
15. C₅₃×#3541	C₂	semidirect
16. C₅₃×#3533	C₂	semidirect
17. C₅₃×#3531	C₂	semidirect
18. C₅₃×#3529	C₂	semidirect
19. C₅₃×#3482	C₂	semidirect
20. C₅₃×#3481	C₂	semidirect
21. C₅₃×#3480	C₂	semidirect
22. C₅₃×#3475	C₂	semidirect
23. C₅₃×#3475	C₂	semidirect
24. C₅₃×#3461	C₂	semidirect
25. C₅₃×#3460	C₂	semidirect
26. C₅₃×#3460	C₂	semidirect
27. C₅₃×#3459	C₂	semidirect
28. C₅₃×#3455	C₂	semidirect
29. C₅₃×#3444	C₂	semidirect
30. C₅₃×#3444	C₂	semidirect
31. C₂×C₅₃×#529	C₂	semidirect
32. C₅₃×#564	C₂²	semidirect
33. C₅₃×#563	C₂²	semidirect
34. C₅₃×#563	C₂²	semidirect
35. C₅₃×#563	C₂²	semidirect
36. C₅₃×#563	C₂²	semidirect
37. C₅₃×#563	C₂²	semidirect
38. C₅₃×#563	C₂²	semidirect
39. C₅₃×#563	C₂²	semidirect
40. C₅₃×#563	C₂²	semidirect
41. C₅₃×#562	C₂²	semidirect
42. C₅₃×#562	C₂²	semidirect
43. C₅₃×#562	C₂²	semidirect
44. C₅₃×#562	C₂²	semidirect
45. C₅₃×#562	C₂²	semidirect
46. C₅₃×#562	C₂²	semidirect
47. C₅₃×#562	C₂²	semidirect
48. C₅₃×H(3,𝔽₄)	C₂²	semidirect
49. C₅₃×#560	C₂²	semidirect
50. C₅₃×#560	C₂²	semidirect
51. C₅₃×#560	C₂²	semidirect
52. C₅₃×#559	C₂²	semidirect
53. C₅₃×#559	C₂²	semidirect
54. C₅₃×#559	C₂²	semidirect
55. C₅₃×#557	C₂²	semidirect
56. C₅₃×#557	C₂²	semidirect
57. C₅₃×#556	C₂²	semidirect
58. C₅₃×#556	C₂²	semidirect
59. C₅₃×#556	C₂²	semidirect
60. C₅₃×#556	C₂²	semidirect
61. C₅₃×#556	C₂²	semidirect
62. C₅₃×#556	C₂²	semidirect
64. C₅₃×#555	C₂²	semidirect
65. C₅₃×#554	C₂²	semidirect
66. C₅₃×#554	C₂²	semidirect
67. C₅₃×#554	C₂²	semidirect
68. C₅₃×#554	C₂²	semidirect
69. C₅₃×#553	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×#552	C₂²	semidirect
80. C₅₃×#552	C₂²	semidirect
81. C₅₃×#552	C₂²	semidirect
82. C₅₃×#552	C₂²	semidirect
83. C₅₃×#552	C₂²	semidirect
84. C₅₃×#552	C₂²	semidirect
85. C₅₃×#552	C₂²	semidirect
86. C₅₃×#552	C₂²	semidirect
87. C₅₃×#552	C₂²	semidirect
88. C₅₃×#552	C₂²	semidirect
89. C₅₃×#552	C₂²	semidirect
90. C₅₃×#551	C₂²	semidirect
91. C₅₃×#551	C₂²	semidirect
92. C₅₃×#551	C₂²	semidirect
93. C₅₃×#551	C₂²	semidirect
94. C₅₃×#551	C₂²	semidirect
95. C₅₃×#551	C₂²	semidirect
96. C₅₃×#551	C₂²	semidirect
97. C₅₃×#551	C₂²	semidirect
99. D₄×Q₈×C₅₃	C₂²	semidirect
101. C₅₃×#548	C₂²	semidirect
102. C₅₃×#548	C₂²	semidirect
103. C₅₃×#548	C₂²	semidirect
104. C₅₃×#547	C₂²	semidirect
105. C₅₃×#547	C₂²	semidirect
106. C₅₃×#547	C₂²	semidirect
107. C₅₃×#547	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
116. C₅₃×#544	C₂²	semidirect
117. C₅₃×#544	C₂²	semidirect
118. C₅₃×#544	C₂²	semidirect
119. C₅₃×#543	C₂²	semidirect
120. C₅₃×#542	C₂²	semidirect
121. C₅₃×#542	C₂²	semidirect
122. C₅₃×#542	C₂²	semidirect
123. C₅₃×#542	C₂²	semidirect
124. C₅₃×#542	C₂²	semidirect
125. C₅₃×#542	C₂²	semidirect
126. C₅₃×#542	C₂²	semidirect
127. C₅₃×#542	C₂²	semidirect
128. C₅₃×#542	C₂²	semidirect
129. C₅₃×#542	C₂²	semidirect
130. C₅₃×#542	C₂²	semidirect
131. C₅₃×#542	C₂²	semidirect
132. C₅₃×#541	C₂²	semidirect
133. C₅₃×#541	C₂²	semidirect
134. C₅₃×#541	C₂²	semidirect
135. C₅₃×#541	C₂²	semidirect
136. C₅₃×#541	C₂²	semidirect
138. C₅₃×#540	C₂²	semidirect
139. C₅₃×#540	C₂²	semidirect
140. C₅₃×#540	C₂²	semidirect
141. C₅₃×#540	C₂²	semidirect
142. C₅₃×#540	C₂²	semidirect
143. C₅₃×#540	C₂²	semidirect
145. C₅₃×#539	C₂²	semidirect
146. C₅₃×#539	C₂²	semidirect
147. C₅₃×#539	C₂²	semidirect
148. C₅₃×#539	C₂²	semidirect
149. C₅₃×#539	C₂²	semidirect
150. C₅₃×#539	C₂²	semidirect
151. C₅₃×#539	C₂²	semidirect
152. C₅₃×#539	C₂²	semidirect
153. C₅₃×#539	C₂²	semidirect
155. C₅₃×#538	C₂²	semidirect
156. C₅₃×#538	C₂²	semidirect
157. C₅₃×#538	C₂²	semidirect
158. C₅₃×#538	C₂²	semidirect
159. C₅₃×#538	C₂²	semidirect
160. C₅₃×#538	C₂²	semidirect
161. C₅₃×#538	C₂²	semidirect
162. C₅₃×#538	C₂²	semidirect
163. C₅₃×#538	C₂²	semidirect
164. C₅₃×#538	C₂²	semidirect
165. C₅₃×#538	C₂²	semidirect
167. C₅₃×#537	C₂²	semidirect
168. C₅₃×#537	C₂²	semidirect
169. C₅₃×#536	C₂²	semidirect
170. C₅₃×#536	C₂²	semidirect
171. C₅₃×#535	C₂²	semidirect
172. C₅₃×#535	C₂²	semidirect
173. C₅₃×#535	C₂²	semidirect
175. C₅₃×#534	C₂²	semidirect
176. C₅₃×#533	C₂²	semidirect
177. C₅₃×#533	C₂²	semidirect
178. C₅₃×#533	C₂²	semidirect
179. C₅₃×#533	C₂²	semidirect
180. C₅₃×#533	C₂²	semidirect
181. C₅₃×#533	C₂²	semidirect
182. C₅₃×#533	C₂²	semidirect
183. C₅₃×#533	C₂²	semidirect
184. C₅₃×#533	C₂²	semidirect
187. C₅₃×#532	C₂²	semidirect
188. C₅₃×#532	C₂²	semidirect
189. C₅₃×#532	C₂²	semidirect
190. C₅₃×#532	C₂²	semidirect
191. C₅₃×#532	C₂²	semidirect
192. C₅₃×#532	C₂²	semidirect
193. C₅₃×#532	C₂²	semidirect
195. C₅₃×#529	C₂²	semidirect
196. C₅₃×#529	C₂²	semidirect
197. C₅₃×#529	C₂²	semidirect
198. C₅₃×#529	C₂²	semidirect
199. C₅₃×#529	C₂²	semidirect
200. C₅₃×#529	C₂²	semidirect
201. C₅₃×#529	C₂²	semidirect
202. C₅₃×#529	C₂²	semidirect
203. C₅₃×#529	C₂²	semidirect
204. C₅₃×#529	C₂²	semidirect
205. C₅₃×#529	C₂²	semidirect
206. C₅₃×#529	C₂²	semidirect
207. C₅₃×#529	C₂²	semidirect
208. C₅₃×#529	C₂²	semidirect
209. C₅₃×#529	C₂²	semidirect
210. C₅₃×#529	C₂²	semidirect
211. C₅₃×#529	C₂²	semidirect
212. C₅₃×#529	C₂²	semidirect
213. C₅₃×#529	C₂²	semidirect
214. C₅₃×#529	C₂²	semidirect
215. C₅₃×#529	C₂²	semidirect
216. C₅₃×#529	C₂²	semidirect
217. C₅₃×#529	C₂²	semidirect
218. C₅₃×#529	C₂²	semidirect
219. C₅₃×#529	C₂²	semidirect
220. C₅₃×#529	C₂²	semidirect
221. C₅₃×#529	C₂²	semidirect
222. C₅₃×#529	C₂²	semidirect
223. C₅₃×#529	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. C₂×#126×C₅₃	C₂²	semidirect
230. C₂×#125×C₅₃	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. C₅₃×#525	C₂²	semidirect
242. C₅₃×#525	C₂²	semidirect
243. C₅₃×#525	C₂²	semidirect
244. C₂×#123×C₅₃	C₂²	semidirect
245. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
247. C₄×#41×C₅₃	C₂²	semidirect
248. C₄×#41×C₅₃	C₂²	semidirect
249. C₄×#41×C₅₃	C₂²	semidirect
250. C₄×#41×C₅₃	C₂²	semidirect
251. C₄×#41×C₅₃	C₂²	semidirect
252. C₄×#41×C₅₃	C₂²	semidirect
253. C₄×#41×C₅₃	C₂²	semidirect
254. C₄×#41×C₅₃	C₂²	semidirect
255. C₄×#41×C₅₃	C₂²	semidirect
256. C₄×#41×C₅₃	C₂²	semidirect
257. C₄×#41×C₅₃	C₂²	semidirect
258. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
259. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
261. C₂×C₄×D₄×C₅₃	C₂²	semidirect
262. C₂×C₄×D₄×C₅₃	C₂²	semidirect
263. C₂×C₄×D₄×C₅₃	C₂²	semidirect
264. C₂×#117×C₅₃	C₂²	semidirect
265. C₂×#117×C₅₃	C₂²	semidirect
266. C₂²×C₄²×C₅₃	C₂²	semidirect
1113. #62743	C₅₃	direct (N × H)
1163. #3568	C₂×C₅₃	semidirect
1164. #3567	C₂×C₅₃	semidirect
1165. #3566	C₂×C₅₃	semidirect
1166. #3565	C₂×C₅₃	semidirect
1167. #3564	C₂×C₅₃	semidirect
1168. #3563	C₂×C₅₃	semidirect
1169. #3562	C₂×C₅₃	semidirect
1170. #3561	C₂×C₅₃	semidirect
1171. #3560	C₂×C₅₃	semidirect
1172. #3559	C₂×C₅₃	semidirect
1173. #3558	C₂×C₅₃	semidirect
1174. #3557	C₂×C₅₃	semidirect
1175. #3551	C₂×C₅₃	semidirect
1176. #3542	C₂×C₅₃	semidirect
1177. #3541	C₂×C₅₃	semidirect
1178. #3533	C₂×C₅₃	semidirect
1179. #3531	C₂×C₅₃	semidirect
1180. #3529	C₂×C₅₃	semidirect
1181. #3482	C₂×C₅₃	semidirect
1182. #3481	C₂×C₅₃	semidirect
1183. #3480	C₂×C₅₃	semidirect
1184. #3475	C₂×C₅₃	semidirect
1185. #3475	C₂×C₅₃	semidirect
1186. #3461	C₂×C₅₃	semidirect
1187. #3460	C₂×C₅₃	semidirect
1188. #3460	C₂×C₅₃	semidirect
1189. #3459	C₂×C₅₃	semidirect
1190. #3455	C₂×C₅₃	semidirect
1191. #3444	C₂×C₅₃	semidirect
1192. #3444	C₂×C₅₃	semidirect
1193. C₂×#529	C₂×C₅₃	semidirect
1204. #564	C₂²×C₅₃	semidirect
1205. #563	C₂²×C₅₃	semidirect
1206. #563	C₂²×C₅₃	semidirect
1207. #563	C₂²×C₅₃	semidirect
1208. #563	C₂²×C₅₃	semidirect
1209. #563	C₂²×C₅₃	semidirect
1210. #563	C₂²×C₅₃	semidirect
1211. #563	C₂²×C₅₃	semidirect
1212. #563	C₂²×C₅₃	semidirect
1213. #562	C₂²×C₅₃	semidirect
1214. #562	C₂²×C₅₃	semidirect
1215. #562	C₂²×C₅₃	semidirect
1216. #562	C₂²×C₅₃	semidirect
1217. #562	C₂²×C₅₃	semidirect
1218. #562	C₂²×C₅₃	semidirect
1219. #562	C₂²×C₅₃	semidirect
1220. H(3,𝔽₄)	C₂²×C₅₃	semidirect
1221. #560	C₂²×C₅₃	semidirect
1222. #560	C₂²×C₅₃	semidirect
1223. #560	C₂²×C₅₃	semidirect
1224. #559	C₂²×C₅₃	semidirect
1225. #559	C₂²×C₅₃	semidirect
1226. #559	C₂²×C₅₃	semidirect
1227. #557	C₂²×C₅₃	semidirect
1228. #557	C₂²×C₅₃	semidirect
1229. #556	C₂²×C₅₃	semidirect
1230. #556	C₂²×C₅₃	semidirect
1231. #556	C₂²×C₅₃	semidirect
1232. #556	C₂²×C₅₃	semidirect
1233. #556	C₂²×C₅₃	semidirect
1234. #556	C₂²×C₅₃	semidirect
1236. #555	C₂²×C₅₃	semidirect
1237. #554	C₂²×C₅₃	semidirect
1238. #554	C₂²×C₅₃	semidirect
1239. #554	C₂²×C₅₃	semidirect
1240. #554	C₂²×C₅₃	semidirect
1241. #553	C₂²×C₅₃	semidirect
1242. #553	C₂²×C₅₃	semidirect
1243. #553	C₂²×C₅₃	semidirect
1244. #553	C₂²×C₅₃	semidirect
1245. #553	C₂²×C₅₃	semidirect
1246. #553	C₂²×C₅₃	semidirect
1247. #553	C₂²×C₅₃	semidirect
1248. #553	C₂²×C₅₃	semidirect
1249. #553	C₂²×C₅₃	semidirect
1250. #553	C₂²×C₅₃	semidirect
1251. #552	C₂²×C₅₃	semidirect
1252. #552	C₂²×C₅₃	semidirect
1253. #552	C₂²×C₅₃	semidirect
1254. #552	C₂²×C₅₃	semidirect
1255. #552	C₂²×C₅₃	semidirect
1256. #552	C₂²×C₅₃	semidirect
1257. #552	C₂²×C₅₃	semidirect
1258. #552	C₂²×C₅₃	semidirect
1259. #552	C₂²×C₅₃	semidirect
1260. #552	C₂²×C₅₃	semidirect
1261. #552	C₂²×C₅₃	semidirect
1262. #551	C₂²×C₅₃	semidirect
1263. #551	C₂²×C₅₃	semidirect
1264. #551	C₂²×C₅₃	semidirect
1265. #551	C₂²×C₅₃	semidirect
1266. #551	C₂²×C₅₃	semidirect
1267. #551	C₂²×C₅₃	semidirect
1268. #551	C₂²×C₅₃	semidirect
1269. #551	C₂²×C₅₃	semidirect
1271. D₄×Q₈	C₂²×C₅₃	semidirect
1273. #548	C₂²×C₅₃	semidirect
1274. #548	C₂²×C₅₃	semidirect
1275. #548	C₂²×C₅₃	semidirect
1276. #547	C₂²×C₅₃	semidirect
1277. #547	C₂²×C₅₃	semidirect
1278. #547	C₂²×C₅₃	semidirect
1279. #547	C₂²×C₅₃	semidirect
1282. #546	C₂²×C₅₃	semidirect
1283. #546	C₂²×C₅₃	semidirect
1284. #546	C₂²×C₅₃	semidirect
1285. #546	C₂²×C₅₃	semidirect
1286. #546	C₂²×C₅₃	semidirect
1288. #544	C₂²×C₅₃	semidirect
1289. #544	C₂²×C₅₃	semidirect
1290. #544	C₂²×C₅₃	semidirect
1291. #543	C₂²×C₅₃	semidirect
1292. #542	C₂²×C₅₃	semidirect
1293. #542	C₂²×C₅₃	semidirect
1294. #542	C₂²×C₅₃	semidirect
1295. #542	C₂²×C₅₃	semidirect
1296. #542	C₂²×C₅₃	semidirect
1297. #542	C₂²×C₅₃	semidirect
1298. #542	C₂²×C₅₃	semidirect
1299. #542	C₂²×C₅₃	semidirect
1300. #542	C₂²×C₅₃	semidirect
1301. #542	C₂²×C₅₃	semidirect
1302. #542	C₂²×C₅₃	semidirect
1303. #542	C₂²×C₅₃	semidirect
1304. #541	C₂²×C₅₃	semidirect
1305. #541	C₂²×C₅₃	semidirect
1306. #541	C₂²×C₅₃	semidirect
1307. #541	C₂²×C₅₃	semidirect
1308. #541	C₂²×C₅₃	semidirect
1310. #540	C₂²×C₅₃	semidirect
1311. #540	C₂²×C₅₃	semidirect
1312. #540	C₂²×C₅₃	semidirect
1313. #540	C₂²×C₅₃	semidirect
1314. #540	C₂²×C₅₃	semidirect
1315. #540	C₂²×C₅₃	semidirect
1317. #539	C₂²×C₅₃	semidirect
1318. #539	C₂²×C₅₃	semidirect
1319. #539	C₂²×C₅₃	semidirect
1320. #539	C₂²×C₅₃	semidirect
1321. #539	C₂²×C₅₃	semidirect
1322. #539	C₂²×C₅₃	semidirect
1323. #539	C₂²×C₅₃	semidirect
1324. #539	C₂²×C₅₃	semidirect
1325. #539	C₂²×C₅₃	semidirect
1327. #538	C₂²×C₅₃	semidirect
1328. #538	C₂²×C₅₃	semidirect
1329. #538	C₂²×C₅₃	semidirect
1330. #538	C₂²×C₅₃	semidirect
1331. #538	C₂²×C₅₃	semidirect
1332. #538	C₂²×C₅₃	semidirect
1333. #538	C₂²×C₅₃	semidirect
1334. #538	C₂²×C₅₃	semidirect
1335. #538	C₂²×C₅₃	semidirect
1336. #538	C₂²×C₅₃	semidirect
1337. #538	C₂²×C₅₃	semidirect
1339. #537	C₂²×C₅₃	semidirect
1340. #537	C₂²×C₅₃	semidirect
1341. #536	C₂²×C₅₃	semidirect
1342. #536	C₂²×C₅₃	semidirect
1343. #535	C₂²×C₅₃	semidirect
1344. #535	C₂²×C₅₃	semidirect
1345. #535	C₂²×C₅₃	semidirect
1347. #534	C₂²×C₅₃	semidirect
1348. #533	C₂²×C₅₃	semidirect
1349. #533	C₂²×C₅₃	semidirect
1350. #533	C₂²×C₅₃	semidirect
1351. #533	C₂²×C₅₃	semidirect
1352. #533	C₂²×C₅₃	semidirect
1353. #533	C₂²×C₅₃	semidirect
1354. #533	C₂²×C₅₃	semidirect
1355. #533	C₂²×C₅₃	semidirect
1356. #533	C₂²×C₅₃	semidirect
1359. #532	C₂²×C₅₃	semidirect
1360. #532	C₂²×C₅₃	semidirect
1361. #532	C₂²×C₅₃	semidirect
1362. #532	C₂²×C₅₃	semidirect
1363. #532	C₂²×C₅₃	semidirect
1364. #532	C₂²×C₅₃	semidirect
1365. #532	C₂²×C₅₃	semidirect
1367. #529	C₂²×C₅₃	semidirect
1368. #529	C₂²×C₅₃	semidirect
1369. #529	C₂²×C₅₃	semidirect
1370. #529	C₂²×C₅₃	semidirect
1371. #529	C₂²×C₅₃	semidirect
1372. #529	C₂²×C₅₃	semidirect
1373. #529	C₂²×C₅₃	semidirect
1374. #529	C₂²×C₅₃	semidirect
1375. #529	C₂²×C₅₃	semidirect
1376. #529	C₂²×C₅₃	semidirect
1377. #529	C₂²×C₅₃	semidirect
1378. #529	C₂²×C₅₃	semidirect
1379. #529	C₂²×C₅₃	semidirect
1380. #529	C₂²×C₅₃	semidirect
1381. #529	C₂²×C₅₃	semidirect
1382. #529	C₂²×C₅₃	semidirect
1383. #529	C₂²×C₅₃	semidirect
1384. #529	C₂²×C₅₃	semidirect
1385. #529	C₂²×C₅₃	semidirect
1386. #529	C₂²×C₅₃	semidirect
1387. #529	C₂²×C₅₃	semidirect
1388. #529	C₂²×C₅₃	semidirect
1389. #529	C₂²×C₅₃	semidirect
1390. #529	C₂²×C₅₃	semidirect
1391. #529	C₂²×C₅₃	semidirect
1392. #529	C₂²×C₅₃	semidirect
1393. #529	C₂²×C₅₃	semidirect
1394. #529	C₂²×C₅₃	semidirect
1395. #529	C₂²×C₅₃	semidirect
1396. #529	C₂²×C₅₃	semidirect
1397. #529	C₂²×C₅₃	semidirect
1398. #529	C₂²×C₅₃	semidirect
1399. #529	C₂²×C₅₃	semidirect
1400. #529	C₂²×C₅₃	semidirect
1401. C₂×#126	C₂²×C₅₃	semidirect
1402. C₂×#125	C₂²×C₅₃	semidirect
1405. #525	C₂²×C₅₃	semidirect
1406. #525	C₂²×C₅₃	semidirect
1407. #525	C₂²×C₅₃	semidirect
1408. #525	C₂²×C₅₃	semidirect
1409. #525	C₂²×C₅₃	semidirect
1410. #525	C₂²×C₅₃	semidirect
1411. #525	C₂²×C₅₃	semidirect
1412. #525	C₂²×C₅₃	semidirect
1413. #525	C₂²×C₅₃	semidirect
1414. #525	C₂²×C₅₃	semidirect
1415. #525	C₂²×C₅₃	semidirect
1416. C₂×#123	C₂²×C₅₃	semidirect
1417. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
1419. C₄×#41	C₂²×C₅₃	semidirect
1420. C₄×#41	C₂²×C₅₃	semidirect
1421. C₄×#41	C₂²×C₅₃	semidirect
1422. C₄×#41	C₂²×C₅₃	semidirect
1423. C₄×#41	C₂²×C₅₃	semidirect
1424. C₄×#41	C₂²×C₅₃	semidirect
1425. C₄×#41	C₂²×C₅₃	semidirect
1426. C₄×#41	C₂²×C₅₃	semidirect
1427. C₄×#41	C₂²×C₅₃	semidirect
1428. C₄×#41	C₂²×C₅₃	semidirect
1429. C₄×#41	C₂²×C₅₃	semidirect
1430. C₂×C₄×Q₈	C₂²×C₅₃	semidirect
1431. C₂×C₄×Q₈	C₂²×C₅₃	semidirect
1433. C₂×C₄×D₄	C₂²×C₅₃	semidirect
1434. C₂×C₄×D₄	C₂²×C₅₃	semidirect
1435. C₂×C₄×D₄	C₂²×C₅₃	semidirect
1436. C₂×#117	C₂²×C₅₃	semidirect
1437. C₂×#117	C₂²×C₅₃	semidirect
1438. C₂²×C₄²	C₂²×C₅₃	semidirect
1439. C₅₃	#62743	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×#3568	2
C₅₃×#3567	2
C₅₃×#3566	2
C₅₃×#3565	2
C₅₃×#3564	2
C₅₃×#3563	2
C₅₃×#3562	2
C₅₃×#3561	2
C₅₃×#3560	2
C₅₃×#3559	2
C₅₃×#3558	2
C₅₃×#3557	2
C₅₃×#3551	2
C₅₃×#3542	2
C₅₃×#3541	2
C₅₃×#3533	2
C₅₃×#3531	2
C₅₃×#3529	2
C₅₃×#3482	2
C₅₃×#3481	2
C₅₃×#3480	2
C₅₃×#3475	2
C₅₃×#3461	2
C₅₃×#3460	2
C₅₃×#3459	2
C₅₃×#3455	2
C₅₃×#3444	2
C₂×C₅₃×#529	2
#62743	53

Subgroups — C53×#62743 #27270255

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#62743 #27270255