Subgroups — #28329051

Order 13568.

2522 conjugacy classes of subgroups.

The subgroup lattice has 2244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291262	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291258	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291256	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291255	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291247	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291246	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291243	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291240	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291240	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291239	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291231	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291228	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×C₄⋊#6157	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291216	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291205	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291204	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291203	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291201	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291200	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291200	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291191	C₂	1	1	yes	maximal, characteristic, complemented
28	#120×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#120×#6157	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811570	C₂	1	1	yes	maximal, characteristic, complemented
31	#538×D₅₃	C₂	1	1	yes	maximal, characteristic
32	C₂⁴×#6157	C₂²	1	1	yes	characteristic
33	C₂×Q₈×#6157	C₂²	1	1	yes	characteristic, complemented
34	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
35	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
36	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
37	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
38	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
39	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
40	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
41	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
42	C₂×D₄×#6157	C₂²	1	1	yes	characteristic, complemented
43	C₂×#13133296	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄⋊#6157	C₂²	1	1	yes	characteristic
45	C₂²×C₄⋊#6157	C₂²	1	1	yes	characteristic
46	C₂²×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
48	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	#16811575	C₂²	1	1	yes	characteristic
52	#16811575	C₂²	1	1	yes	characteristic
53	#16811575	C₂²	1	1	yes	characteristic
54	#16811575	C₂²	1	1	yes	characteristic
55	#16811575	C₂²	1	1	yes	characteristic, complemented
56	#16811574	C₂²	1	1	yes	characteristic, complemented
57	#16811574	C₂²	1	1	yes	characteristic, complemented
58	#16811574	C₂²	1	1	yes	characteristic, complemented
59	#16811574	C₂²	1	1	yes	characteristic, complemented
60	#16811574	C₂²	1	1	yes	characteristic, complemented
61	#16811574	C₂²	1	1	yes	characteristic, complemented
62	#16811574	C₂²	1	1	yes	characteristic, complemented
63	#16811574	C₂²	1	1	yes	characteristic, complemented
64	#16811573	C₂²	1	1	yes	characteristic
65	#16811573	C₂²	1	1	yes	characteristic
66	#16811573	C₂²	1	1	yes	characteristic
67	#16811573	C₂²	1	1	yes	characteristic
68	#16811573	C₂²	1	1	yes	characteristic
69	#16811573	C₂²	1	1	yes	characteristic
70	#16811573	C₂²	1	1	yes	characteristic
71	#16811573	C₂²	1	1	yes	characteristic
72	#16811573	C₂²	1	1	yes	characteristic
73	#16811573	C₂²	1	1	yes	characteristic
74	#16811573	C₂²	1	1	yes	characteristic
75	#16811573	C₂²	1	1	yes	characteristic
76	#16811573	C₂²	1	1	yes	characteristic
77	#16811573	C₂²	1	1	yes	characteristic
78	#16811573	C₂²	1	1	yes	characteristic
79	#16811573	C₂²	1	1	yes	characteristic
80	#16811573	C₂²	1	1	yes	characteristic, complemented
81	#16811573	C₂²	1	1	yes	characteristic, complemented
82	#16811573	C₂²	1	1	yes	characteristic, complemented
83	#16811573	C₂²	1	1	yes	characteristic, complemented
84	#16811573	C₂²	1	1	yes	characteristic, complemented
85	#16811573	C₂²	1	1	yes	characteristic, complemented
86	#16811573	C₂²	1	1	yes	characteristic, complemented
87	#16811573	C₂²	1	1	yes	characteristic, complemented
88	#16811572	C₂²	1	1	yes	characteristic, complemented
89	#16811572	C₂²	1	1	yes	characteristic, complemented
90	#16811572	C₂²	1	1	yes	characteristic, complemented
91	#16811572	C₂²	1	1	yes	characteristic, complemented
92	#16811572	C₂²	1	1	yes	characteristic, complemented
93	#16811572	C₂²	1	1	yes	characteristic, complemented
94	#16811572	C₂²	1	1	yes	characteristic, complemented
95	#16811572	C₂²	1	1	yes	characteristic, complemented
96	#16811572	C₂²	1	1	yes	characteristic, complemented
97	#16811572	C₂²	1	1	yes	characteristic, complemented
98	#16811572	C₂²	1	1	yes	characteristic, complemented
99	#16811572	C₂²	1	1	yes	characteristic, complemented
100	#16811571	C₂²	1	1	yes	characteristic
101	#16811571	C₂²	1	1	yes	characteristic
102	#16811571	C₂²	1	1	yes	characteristic
103	#16811571	C₂²	1	1	yes	characteristic
104	#16811571	C₂²	1	1	yes	characteristic
105	#16811571	C₂²	1	1	yes	characteristic
106	#16811571	C₂²	1	1	yes	characteristic
107	#16811571	C₂²	1	1	yes	characteristic
108	#16811571	C₂²	1	1	yes	characteristic
109	#16811571	C₂²	1	1	yes	characteristic
110	#16811571	C₂²	1	1	yes	characteristic
111	#16811571	C₂²	1	1	yes	characteristic
112	#16811571	C₂²	1	1	yes	characteristic, complemented
113	#16811571	C₂²	1	1	yes	characteristic, complemented
114	#16811570	C₂²	1	1	yes	characteristic
115	#16811570	C₂²	1	1	yes	characteristic
116	#16811570	C₂²	1	1	yes	characteristic
117	#16811570	C₂²	1	1	yes	characteristic
118	#16811570	C₂²	1	1	yes	characteristic
119	#16811570	C₂²	1	1	yes	characteristic
120	#16811570	C₂²	1	1	yes	characteristic
121	#16811570	C₂²	1	1	yes	characteristic
122	#16811570	C₂²	1	1	yes	characteristic
123	#16811570	C₂²	1	1	yes	characteristic
124	#16811570	C₂²	1	1	yes	characteristic
125	#16811570	C₂²	1	1	yes	characteristic
126	#16811570	C₂²	1	1	yes	characteristic
127	#16811570	C₂²	1	1	yes	characteristic
128	#16811570	C₂²	1	1	yes	characteristic
129	#16811570	C₂²	1	1	yes	characteristic
130	#16811570	C₂²	1	1	yes	characteristic, complemented
131	#16811570	C₂²	1	1	yes	characteristic, complemented
132	#16811570	C₂²	1	1	yes	characteristic, complemented
133	#16811570	C₂²	1	1	yes	characteristic, complemented
134	#16811570	C₂²	1	1	yes	characteristic, complemented
135	#16811570	C₂²	1	1	yes	characteristic, complemented
136	#16811569	C₂²	1	1	yes	characteristic, complemented
137	#16811568	C₂²	1	1	yes	characteristic, complemented
138	#16811567	C₂²	1	1	yes	characteristic, complemented
139	#16811567	C₂²	1	1	yes	characteristic, complemented
140	#16811566	C₂²	1	1	yes	characteristic, complemented
141	#16811565	C₂²	1	1	yes	characteristic
142	#16811565	C₂²	1	1	yes	characteristic
143	#16811565	C₂²	1	1	yes	characteristic, complemented
144	#16811565	C₂²	1	1	yes	characteristic, complemented
145	#16811565	C₂²	1	1	yes	characteristic, complemented
146	#16811564	C₂²	1	1	yes	characteristic
147	#16811564	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
149	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
150	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
151	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
164	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
168	#16811559	C₂²	1	1	yes	characteristic, complemented
169	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
171	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	#16811213	C₄	1	1	yes	characteristic, complemented
173	#16811212	C₄	1	1	yes	characteristic, complemented
174	#16811212	C₄	1	1	yes	characteristic, complemented
175	#16811211	C₄	1	1	yes	characteristic, complemented
176	#16811210	C₄	1	1	yes	characteristic, complemented
177	#16811209	C₄	1	1	yes	characteristic, complemented
178	#16811209	C₄	1	1	yes	characteristic, complemented
179	#16811208	C₄	1	1	yes	characteristic, complemented
180	#16811208	C₄	1	1	yes	characteristic, complemented
181	#16811207	C₄	1	1	yes	characteristic, complemented
182	#16811207	C₄	1	1	yes	characteristic, complemented
183	#16811206	C₄	1	1	yes	characteristic, complemented
184	#16811206	C₄	1	1	yes	characteristic, complemented
185	#16811205	C₄	1	1	yes	characteristic, complemented
186	#16811205	C₄	1	1	yes	characteristic, complemented
187	#126×D₅₃	C₂²	1	1	yes	characteristic
188	#126×D₅₃	C₂²	1	1	yes	characteristic
189	#124×D₅₃	C₂²	1	1	yes	characteristic
190	#124×D₅₃	C₂²	1	1	yes	characteristic
191	#123×D₅₃	C₂²	1	1	yes	characteristic
192	#123×D₅₃	C₂²	1	1	yes	characteristic
193	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
194	#121×D₅₃	C₂²	1	1	yes	characteristic
195	#121×D₅₃	C₂²	1	1	yes	characteristic
196	#121×D₅₃	C₂²	1	1	yes	characteristic
197	#120×D₅₃	C₂²	1	1	yes	characteristic
198	#120×D₅₃	C₂²	1	1	yes	characteristic
199	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
200	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#538	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	—	4	2	no	—
204	C₂³×#6157	—	4	2	no	—
205	C₂³×#6157	—	4	2	no	—
206	C₂³×#6157	C₂³	1	1	yes	characteristic
207	C₂³×#6157	C₂³	1	1	yes	characteristic
208	C₂³×#6157	C₂³	1	1	yes	characteristic
209	C₂³×#6157	C₂³	1	1	yes	characteristic
210	C₂³×#6157	C₂³	1	1	yes	characteristic
211	C₂³×#6157	C₂³	1	1	yes	characteristic
212	C₂³×#6157	C₂³	1	1	yes	characteristic
213	C₂³×#6157	C₂³	1	1	yes	characteristic
214	C₂³×#6157	C₂³	1	1	yes	characteristic
215	C₂³×#6157	C₂³	1	1	yes	characteristic
216	C₂³×#6157	C₂³	1	1	yes	characteristic
217	C₂³×#6157	C₂³	1	1	yes	characteristic
218	Q₈×#6157	—	4	2	no	—
219	D₄×#6157	—	4	2	no	—
220	D₄×#6157	—	4	2	no	—
221	D₄×#6157	—	4	2	no	—
222	D₄×#6157	—	4	2	no	—
223	D₄×#6157	—	4	2	no	—
224	D₄×#6157	—	4	2	no	—
225	D₄×#6157	—	4	2	no	—
226	D₄×#6157	—	4	2	no	—
227	D₄×#6157	—	4	2	no	—
228	#13133296	—	4	2	no	—
229	C₂×C₄⋊#6157	—	4	2	no	—
230	C₂×C₄⋊#6157	—	4	2	no	—
231	C₂×C₄⋊#6157	—	4	2	no	—
232	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊#6157	—	4	2	no	—
257	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
285	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
286	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
287	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
288	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
289	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
290	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
291	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
292	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
293	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
294	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
295	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
296	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
297	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
298	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
299	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
300	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
301	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
333	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
334	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
335	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
336	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
337	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
338	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
339	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
340	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
341	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
342	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
343	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
345	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
346	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
347	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
348	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
349	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
350	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
351	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
352	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
353	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
354	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
355	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
356	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
357	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
358	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
359	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
360	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
361	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
362	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
364	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
365	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
366	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
367	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
370	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
373	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
374	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
377	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
379	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
401	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
402	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
403	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
404	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
405	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
406	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
407	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
408	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
409	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
410	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
411	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
416	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
417	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
419	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
420	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
422	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
423	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
429	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
430	#13133186	C₂×C₄	1	1	yes	characteristic, complemented
431	#13133186	C₂×C₄	1	1	yes	characteristic, complemented
432	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
433	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
434	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
435	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
436	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
437	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
438	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
439	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
440	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
441	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
442	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
443	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
444	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
445	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
446	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
447	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
448	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
449	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
450	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
451	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
452	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
453	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
454	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
455	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
456	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
458	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
459	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
460	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
461	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
462	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
463	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
464	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
465	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
466	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
467	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
473	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
474	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
475	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
476	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
477	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
478	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
479	C₄²×D₅₃	C₂³	1	1	yes	characteristic
480	C₄²×D₅₃	C₂³	1	1	yes	characteristic
481	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
484	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
485	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
486	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
487	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
488	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
489	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
490	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
491	#120×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
492	#120×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
493	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
494	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
495	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
496	C₂⁴×C₅₃	C₂²×C₄	1	1	yes	characteristic
497	C₂³×D₅₃	—	2	2	no	—
498	C₂³×D₅₃	—	2	2	no	—
499	C₂³×D₅₃	—	4	1	no	—
500	C₂³×D₅₃	—	4	1	no	—
501	C₂³×D₅₃	—	4	1	no	—
502	C₂³×D₅₃	—	4	1	no	—
503	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
507	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
508	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
509	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
510	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
511	C₂²×#6157	—	2	2	no	—
512	C₂²×#6157	—	2	2	no	—
513	C₂²×#6157	—	2	2	no	—
514	C₂²×#6157	—	2	2	no	—
515	C₂²×#6157	—	2	2	no	—
516	C₂²×#6157	—	2	2	no	—
517	C₂²×#6157	—	2	2	no	—
518	C₂²×#6157	—	2	2	no	—
519	C₂²×#6157	—	2	2	no	—
520	C₂²×#6157	—	2	2	no	—
521	C₂²×#6157	—	2	2	no	—
522	C₂²×#6157	—	2	2	no	—
523	C₂²×#6157	—	4	1	no	—
524	C₂²×#6157	—	4	1	no	—
525	C₂²×#6157	—	4	1	no	—
526	C₂²×#6157	—	4	1	no	—
527	C₂²×#6157	—	4	1	no	—
528	C₂²×#6157	—	4	1	no	—
529	C₂²×#6157	—	4	1	no	—
530	C₂²×#6157	—	4	1	no	—
531	C₂²×#6157	—	4	1	no	—
532	C₂²×#6157	—	4	1	no	—
533	C₂²×#6157	—	4	1	no	—
534	C₂²×#6157	—	4	1	no	—
535	C₂²×#6157	—	4	1	no	—
536	C₂²×#6157	—	4	1	no	—
537	C₂²×#6157	—	4	1	no	—
538	C₂²×#6157	—	4	1	no	—
539	C₂²×#6157	—	4	1	no	—
540	C₂²×#6157	—	4	1	no	—
541	C₂²×#6157	—	4	1	no	—
542	C₂²×#6157	—	4	1	no	—
543	C₂²×#6157	—	4	1	no	—
544	C₂²×#6157	—	4	1	no	—
545	C₂²×#6157	—	4	1	no	—
546	C₂²×#6157	—	4	1	no	—
547	C₂²×#6157	—	4	16	no	—
548	C₂²×#6157	C₂⁴	1	1	yes	characteristic
549	C₂²×#6157	C₂⁴	1	1	yes	characteristic
550	C₂²×#6157	C₂⁴	1	1	yes	characteristic
551	C₂²×#6157	C₂⁴	1	1	yes	characteristic
552	C₂²×#6157	C₂⁴	1	1	yes	characteristic
553	C₂²×#6157	C₂⁴	1	1	yes	characteristic
554	C₂²×#6157	C₂⁴	1	1	yes	characteristic
555	C₂²×#6157	C₂⁴	1	1	yes	characteristic
556	C₂²×#6157	C₂⁴	1	1	yes	characteristic
557	C₂²×#6157	C₂⁴	1	1	yes	characteristic
558	C₂²×#6157	C₂⁴	1	1	yes	characteristic
559	C₂²×#6157	C₂⁴	1	1	yes	characteristic
560	C₂²×#6157	C₂⁴	1	1	yes	characteristic
561	C₂²×#6157	C₂⁴	1	1	yes	characteristic
562	C₂²×#6157	C₂⁴	1	1	yes	characteristic
563	C₂²×#6157	C₂⁴	1	1	yes	characteristic
564	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
565	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
566	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
567	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
568	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
569	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
570	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
571	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
572	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
573	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
574	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
575	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
576	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
589	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
590	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
591	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
592	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
593	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
594	Q₈×D₅₃	—	4	1	no	—
595	Q₈×D₅₃	—	4	1	no	—
596	D₄×D₅₃	—	2	2	no	—
597	D₄×D₅₃	—	2	2	no	—
598	D₄×D₅₃	—	2	2	no	—
599	D₄×D₅₃	—	2	2	no	—
600	D₄×D₅₃	—	4	1	no	—
601	D₄×D₅₃	—	4	1	no	—
602	D₄×D₅₃	—	4	1	no	—
603	D₄×D₅₃	—	4	1	no	—
604	D₄×D₅₃	—	4	1	no	—
605	D₄×D₅₃	—	4	1	no	—
606	D₄×D₅₃	—	4	1	no	—
607	D₄×D₅₃	—	4	1	no	—
608	D₄×D₅₃	—	4	1	no	—
609	D₄×D₅₃	—	4	1	no	—
610	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
611	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
612	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
613	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
614	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
615	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
616	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic, complemented
617	C₂×C₄×D₅₃	—	4	1	no	—
618	C₂×C₄×D₅₃	—	4	1	no	—
619	C₂×C₄×D₅₃	—	4	1	no	—
620	C₂×C₄×D₅₃	—	4	1	no	—
621	C₂×C₄×D₅₃	—	4	1	no	—
622	C₂×C₄×D₅₃	—	4	1	no	—
623	C₂×C₄×D₅₃	—	4	1	no	—
624	C₂×C₄×D₅₃	—	4	1	no	—
625	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
630	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
631	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
632	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
633	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
638	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
641	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
642	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
643	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic, complemented
644	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic, complemented
645	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic, complemented
646	C₂²⋊#6157	—	2	2	no	—
647	C₂²⋊#6157	—	2	2	no	—
648	C₂²⋊#6157	—	2	2	no	—
649	C₂²⋊#6157	—	2	2	no	—
650	C₂²⋊#6157	—	2	2	no	—
651	C₂²⋊#6157	—	2	2	no	—
652	C₂²⋊#6157	—	4	1	no	—
653	C₂²⋊#6157	—	4	1	no	—
654	C₂²⋊#6157	—	4	1	no	—
655	C₂²⋊#6157	—	4	1	no	—
656	C₂²⋊#6157	—	4	1	no	—
657	C₂²⋊#6157	—	4	1	no	—
658	C₂²⋊#6157	—	4	1	no	—
659	C₂²⋊#6157	—	4	1	no	—
660	C₂²⋊#6157	—	4	1	no	—
661	C₂²⋊#6157	—	4	1	no	—
662	C₂²⋊#6157	—	4	1	no	—
663	C₂²⋊#6157	—	4	1	no	—
664	C₂²⋊#6157	—	4	1	no	—
665	C₂²⋊#6157	—	4	1	no	—
666	C₂²⋊#6157	—	4	1	no	—
667	C₂²⋊#6157	—	4	1	no	—
668	C₂²⋊#6157	—	4	1	no	—
669	C₂²⋊#6157	—	4	1	no	—
670	C₂²⋊#6157	—	4	1	no	—
671	C₂²⋊#6157	—	4	1	no	—
672	C₂²⋊#6157	—	4	1	no	—
673	C₂²⋊#6157	—	4	1	no	—
674	C₄⋊#6157	—	2	2	no	—
675	C₄⋊#6157	—	2	2	no	—
676	C₄⋊#6157	—	2	2	no	—
677	C₄⋊#6157	—	2	2	no	—
678	C₄⋊#6157	—	2	2	no	—
679	C₄⋊#6157	—	2	2	no	—
680	C₄⋊#6157	—	4	1	no	—
681	C₄⋊#6157	—	4	1	no	—
682	C₄⋊#6157	—	4	1	no	—
683	C₄⋊#6157	—	4	1	no	—
684	C₄⋊#6157	—	4	1	no	—
685	C₄⋊#6157	—	4	1	no	—
686	C₄⋊#6157	—	4	1	no	—
687	C₄⋊#6157	—	4	1	no	—
688	C₄⋊#6157	—	4	1	no	—
689	C₄⋊#6157	—	4	1	no	—
690	C₄⋊#6157	—	4	1	no	—
691	C₄⋊#6157	—	4	1	no	—
692	C₄⋊#6157	—	4	1	no	—
693	C₄⋊#6157	—	4	1	no	—
694	C₄⋊#6157	—	4	1	no	—
695	C₄⋊#6157	—	4	1	no	—
696	C₄⋊#6157	—	4	1	no	—
697	C₄⋊#6157	—	4	1	no	—
698	C₄×#6157	—	2	2	no	—
699	C₄×#6157	—	2	2	no	—
700	C₄×#6157	—	4	1	no	—
701	C₄×#6157	—	4	1	no	—
702	C₄×#6157	—	4	1	no	—
703	C₄×#6157	—	4	1	no	—
704	C₄×#6157	—	4	1	no	—
705	C₄×#6157	—	4	1	no	—
706	C₄×#6157	—	4	1	no	—
707	C₄×#6157	—	4	1	no	—
708	C₄×#6157	—	4	1	no	—
709	C₄×#6157	—	4	1	no	—
710	C₄×#6157	—	4	1	no	—
711	C₄×#6157	—	4	1	no	—
712	C₄×#6157	—	4	1	no	—
713	C₄×#6157	—	4	1	no	—
714	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
715	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
716	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
717	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
718	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
719	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
720	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
721	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
722	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
723	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
724	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
725	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
726	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
727	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
728	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
729	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
730	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
731	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
732	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
733	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
734	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
735	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
736	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
737	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
738	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
739	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
740	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
741	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
742	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
743	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
744	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
745	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
746	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
747	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
748	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
749	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
750	#11719921	C₂²×C₄	1	1	yes	characteristic
751	#11719921	C₂²×C₄	1	1	yes	characteristic
752	#11719921	C₂²×C₄	1	1	yes	characteristic
753	#11719921	C₂²×C₄	1	1	yes	characteristic
754	#11719921	C₂²×C₄	1	1	yes	characteristic
755	#11719921	C₂²×C₄	1	1	yes	characteristic
756	#11719921	C₂²×C₄	1	1	yes	characteristic
757	#11719921	C₂²×C₄	1	1	yes	characteristic
758	#11719921	C₂²×C₄	1	1	yes	characteristic
759	#11719921	C₂²×C₄	1	1	yes	characteristic
760	#11719921	C₂²×C₄	1	1	yes	characteristic
761	#11719921	C₂²×C₄	1	1	yes	characteristic
762	#11719921	C₂²×C₄	1	1	yes	characteristic
763	#11719921	C₂²×C₄	1	1	yes	characteristic
764	#11719921	C₂²×C₄	1	1	yes	characteristic
765	#11719921	C₂²×C₄	1	1	yes	characteristic
766	#11719921	C₂²×C₄	1	1	yes	characteristic
767	#11719921	C₂²×C₄	1	1	yes	characteristic
768	#11719921	C₂²×C₄	1	1	yes	characteristic
769	#11719921	C₂²×C₄	1	1	yes	characteristic
770	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
771	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
772	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
773	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
774	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
775	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
776	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
777	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
778	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
779	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
780	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
781	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
782	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
783	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
784	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
785	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
786	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
787	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
788	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
789	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
790	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
791	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
792	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
793	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
794	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
795	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
796	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
797	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
798	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
799	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
800	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
801	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
802	C₂³×C₅₃	—	2	2	no	—
803	C₂³×C₅₃	—	4	1	no	—
804	C₂³×C₅₃	—	4	1	no	—
805	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
806	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
807	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
808	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
809	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
810	C₂²×D₅₃	—	2	1	no	—
811	C₂²×D₅₃	—	2	1	no	—
812	C₂²×D₅₃	—	2	1	no	—
813	C₂²×D₅₃	—	2	1	no	—
814	C₂²×D₅₃	—	2	2	no	—
815	C₂²×D₅₃	—	2	2	no	—
816	C₂²×D₅₃	—	2	2	no	—
817	C₂²×D₅₃	—	2	1	no	—
818	C₂²×D₅₃	—	2	1	no	—
819	C₂²×D₅₃	—	2	1	no	—
820	C₂²×D₅₃	—	2	1	no	—
821	C₂²×D₅₃	—	2	1	no	—
822	C₂²×D₅₃	—	2	1	no	—
823	C₂²×D₅₃	—	2	1	no	—
824	C₂²×D₅₃	—	2	1	no	—
825	C₂²×D₅₃	—	2	1	no	—
826	C₂²×D₅₃	—	2	1	no	—
827	C₂²×D₅₃	—	2	1	no	—
828	C₂²×D₅₃	—	2	1	no	—
829	C₂²×D₅₃	—	2	1	no	—
830	C₂²×D₅₃	—	2	1	no	—
831	C₂²×D₅₃	—	2	1	no	—
832	C₂²×D₅₃	—	2	1	no	—
833	C₂²×D₅₃	—	2	1	no	—
834	C₂²×D₅₃	—	2	1	no	—
835	C₂²×D₅₃	—	2	1	no	—
836	C₂²×D₅₃	—	2	1	no	—
837	C₂²×D₅₃	—	2	1	no	—
838	C₂²×D₅₃	—	2	1	no	—
839	C₂²×D₅₃	—	2	1	no	—
840	C₂²×D₅₃	—	2	1	no	—
841	C₂²×D₅₃	—	4	1	no	—
842	C₂²×D₅₃	—	4	1	no	—
843	C₂²×D₅₃	—	4	1	no	—
844	C₂²×D₅₃	—	4	1	no	—
845	C₂²×D₅₃	—	4	1	no	—
846	C₂²×D₅₃	—	4	1	no	—
847	C₂²×D₅₃	—	4	4	no	—
848	C₂²×D₅₃	—	4	4	no	—
849	C₂²×D₅₃	—	4	4	no	—
850	C₂²×D₅₃	—	4	4	no	—
851	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
852	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
853	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
854	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
855	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
856	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
857	C₂²×D₅₃	2₋¹⁺⁴	1	2	yes	—
858	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
859	C₂×#6157	—	2	1	no	—
860	C₂×#6157	—	2	1	no	—
861	C₂×#6157	—	2	1	no	—
862	C₂×#6157	—	2	1	no	—
863	C₂×#6157	—	2	1	no	—
864	C₂×#6157	—	2	1	no	—
865	C₂×#6157	—	2	1	no	—
866	C₂×#6157	—	2	1	no	—
867	C₂×#6157	—	2	1	no	—
868	C₂×#6157	—	2	1	no	—
869	C₂×#6157	—	2	1	no	—
870	C₂×#6157	—	2	1	no	—
871	C₂×#6157	—	2	1	no	—
872	C₂×#6157	—	2	1	no	—
873	C₂×#6157	—	2	1	no	—
874	C₂×#6157	—	2	1	no	—
875	C₂×#6157	—	2	1	no	—
876	C₂×#6157	—	2	1	no	—
877	C₂×#6157	—	2	1	no	—
878	C₂×#6157	—	2	1	no	—
879	C₂×#6157	—	2	1	no	—
880	C₂×#6157	—	2	1	no	—
881	C₂×#6157	—	2	1	no	—
882	C₂×#6157	—	2	1	no	—
883	C₂×#6157	—	2	1	no	—
884	C₂×#6157	—	2	1	no	—
885	C₂×#6157	—	2	1	no	—
886	C₂×#6157	—	2	1	no	—
887	C₂×#6157	—	2	1	no	—
888	C₂×#6157	—	2	1	no	—
889	C₂×#6157	—	2	1	no	—
890	C₂×#6157	—	2	1	no	—
891	C₂×#6157	—	2	1	no	—
892	C₂×#6157	—	2	1	no	—
893	C₂×#6157	—	2	1	no	—
894	C₂×#6157	—	2	1	no	—
895	C₂×#6157	—	2	1	no	—
896	C₂×#6157	—	2	1	no	—
897	C₂×#6157	—	2	1	no	—
898	C₂×#6157	—	2	1	no	—
899	C₂×#6157	—	2	1	no	—
900	C₂×#6157	—	2	1	no	—
901	C₂×#6157	—	2	1	no	—
902	C₂×#6157	—	2	1	no	—
903	C₂×#6157	—	2	1	no	—
904	C₂×#6157	—	2	1	no	—
905	C₂×#6157	—	4	4	no	—
906	C₂×#6157	—	4	4	no	—
907	C₂×#6157	—	4	4	no	—
908	C₂×#6157	—	4	4	no	—
909	C₂×#6157	—	4	4	no	—
910	C₂×#6157	—	4	4	no	—
911	C₂×#6157	—	8	2	no	—
912	C₂×#6157	—	8	2	no	—
913	C₂×#6157	—	8	2	no	—
914	C₂×#6157	—	8	2	no	—
915	C₂×#6157	—	8	2	no	—
916	C₂×#6157	—	8	2	no	—
917	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
918	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
919	Q₈×C₅₃	—	4	1	no	—
920	D₄×C₅₃	—	2	2	no	—
921	D₄×C₅₃	—	2	2	no	—
922	D₄×C₅₃	—	4	1	no	—
923	D₄×C₅₃	—	4	1	no	—
924	D₄×C₅₃	—	4	1	no	—
925	D₄×C₅₃	—	4	1	no	—
926	D₄×C₅₃	—	4	1	no	—
927	C₂×C₄×C₅₃	—	4	1	no	—
928	C₂×C₄×C₅₃	—	4	1	no	—
929	C₂×C₄×C₅₃	—	4	1	no	—
930	C₂×C₄×C₅₃	—	4	1	no	—
931	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
932	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
933	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
934	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
935	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
936	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
937	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
938	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
939	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
940	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
941	C₂²⋊D₅₃	—	2	2	no	—
942	C₂²⋊D₅₃	—	2	2	no	—
943	C₂²⋊D₅₃	—	2	2	no	—
944	C₂²⋊D₅₃	—	2	2	no	—
945	C₂²⋊D₅₃	—	4	1	no	—
946	C₂²⋊D₅₃	—	4	1	no	—
947	C₂²⋊D₅₃	—	4	1	no	—
948	C₂²⋊D₅₃	—	4	1	no	—
949	C₂²⋊D₅₃	—	4	1	no	—
950	C₂²⋊D₅₃	—	4	1	no	—
951	C₂²⋊D₅₃	—	4	1	no	—
952	C₂²⋊D₅₃	—	4	1	no	—
953	C₂²⋊D₅₃	—	4	1	no	—
954	C₂²⋊D₅₃	—	4	1	no	—
955	C₂×Dic₅₃	—	4	1	no	—
956	C₂×Dic₅₃	—	4	1	no	—
957	C₂×Dic₅₃	—	4	1	no	—
958	C₂×Dic₅₃	—	4	1	no	—
959	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
960	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
961	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
962	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
963	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
964	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
965	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
966	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
967	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
968	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
969	D₂₁₂	—	2	2	no	—
970	D₂₁₂	—	2	2	no	—
971	D₂₁₂	—	4	1	no	—
972	D₂₁₂	—	4	1	no	—
973	D₂₁₂	—	4	1	no	—
974	D₂₁₂	—	4	1	no	—
975	D₂₁₂	—	4	1	no	—
976	C₄×D₅₃	—	2	1	no	—
977	C₄×D₅₃	—	2	1	no	—
978	C₄×D₅₃	—	2	1	no	—
979	C₄×D₅₃	—	2	1	no	—
980	C₄×D₅₃	—	2	1	no	—
981	C₄×D₅₃	—	2	1	no	—
982	C₄×D₅₃	—	2	1	no	—
983	C₄×D₅₃	—	2	1	no	—
984	C₄×D₅₃	—	2	1	no	—
985	C₄×D₅₃	—	2	1	no	—
986	C₄×D₅₃	—	2	1	no	—
987	C₄×D₅₃	—	2	1	no	—
988	C₄×D₅₃	—	2	1	no	—
989	C₄×D₅₃	—	2	1	no	—
990	C₄×D₅₃	—	2	1	no	—
991	C₄×D₅₃	—	2	1	no	—
992	C₄×D₅₃	—	2	1	no	—
993	C₄×D₅₃	—	2	1	no	—
994	C₄×D₅₃	—	2	1	no	—
995	C₄×D₅₃	—	2	1	no	—
996	C₄×D₅₃	—	4	1	no	—
997	C₄×D₅₃	—	4	1	no	—
998	C₄×D₅₃	—	4	1	no	—
999	C₄×D₅₃	—	4	1	no	—
1000	C₄×D₅₃	—	4	1	no	—
1001	C₄×D₅₃	—	4	1	no	—
1002	C₄×D₅₃	—	4	1	no	—
1003	C₄×D₅₃	—	4	1	no	—
1004	Dic₁₀₆	—	4	1	no	—
1005	Dic₁₀₆	—	4	1	no	—
1006	Dic₁₀₆	—	4	1	no	—
1007	#34416	—	53	1	no	maximal, Sylow
1008	C₂²×C₅₃	—	2	1	no	—
1009	C₂²×C₅₃	—	2	1	no	—
1010	C₂²×C₅₃	—	2	1	no	—
1011	C₂²×C₅₃	—	2	1	no	—
1012	C₂²×C₅₃	—	2	1	no	—
1013	C₂²×C₅₃	—	2	1	no	—
1014	C₂²×C₅₃	—	2	1	no	—
1015	C₂²×C₅₃	—	2	1	no	—
1016	C₂²×C₅₃	—	2	1	no	—
1017	C₂²×C₅₃	—	2	1	no	—
1018	C₂²×C₅₃	—	2	1	no	—
1019	C₂²×C₅₃	—	2	1	no	—
1020	C₂²×C₅₃	—	2	1	no	—
1021	C₂²×C₅₃	—	2	1	no	—
1022	C₂²×C₅₃	—	4	4	no	—
1023	C₂²×C₅₃	#520	1	2	yes	—
1024	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
1025	C₂×D₅₃	—	2	1	no	—
1026	C₂×D₅₃	—	2	1	no	—
1027	C₂×D₅₃	—	2	2	no	—
1028	C₂×D₅₃	—	2	2	no	—
1029	C₂×D₅₃	—	2	2	no	—
1030	C₂×D₅₃	—	2	2	no	—
1031	C₂×D₅₃	—	2	1	no	—
1032	C₂×D₅₃	—	2	1	no	—
1033	C₂×D₅₃	—	2	1	no	—
1034	C₂×D₅₃	—	2	1	no	—
1035	C₂×D₅₃	—	2	1	no	—
1036	C₂×D₅₃	—	2	1	no	—
1037	C₂×D₅₃	—	2	1	no	—
1038	C₂×D₅₃	—	2	1	no	—
1039	C₂×D₅₃	—	2	1	no	—
1040	C₂×D₅₃	—	2	1	no	—
1041	C₂×D₅₃	—	2	1	no	—
1042	C₂×D₅₃	—	2	1	no	—
1043	C₂×D₅₃	—	4	4	no	—
1044	C₂×D₅₃	—	4	4	no	—
1045	C₂×D₅₃	—	4	4	no	—
1046	C₂×D₅₃	—	4	1	no	—
1047	C₂×D₅₃	—	4	1	no	—
1048	C₂×D₅₃	—	4	1	no	—
1049	C₂×D₅₃	—	4	1	no	—
1050	C₂×D₅₃	—	4	1	no	—
1051	C₂×D₅₃	—	4	1	no	—
1052	C₂×D₅₃	—	4	1	no	—
1053	C₂×D₅₃	—	4	1	no	—
1054	C₂×D₅₃	—	4	1	no	—
1055	C₂×D₅₃	—	4	1	no	—
1056	C₂×D₅₃	—	4	1	no	—
1057	C₂×D₅₃	—	4	1	no	—
1058	C₂×D₅₃	—	4	1	no	—
1059	C₂×D₅₃	—	4	1	no	—
1060	C₂×D₅₃	—	4	1	no	—
1061	C₂×D₅₃	—	4	1	no	—
1062	C₂×D₅₃	#520	1	2	yes	—
1063	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1064	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1065	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1066	C₂×D₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1067	C₂×D₅₃	#585	1	1	yes	characteristic
1068	C₂×D₅₃	#585	1	1	yes	characteristic
1069	#6157	—	2	2	no	—
1070	#6157	—	2	2	no	—
1071	#6157	—	4	1	no	—
1072	#6157	—	4	1	no	—
1073	#6157	—	4	1	no	—
1074	#6157	—	4	1	no	—
1075	#6157	—	4	1	no	—
1076	#6157	—	4	1	no	—
1077	#6157	—	4	1	no	—
1078	#6157	—	4	1	no	—
1079	#6157	—	4	1	no	—
1080	#6157	—	4	1	no	—
1081	#6157	—	4	1	no	—
1082	#6157	—	4	1	no	—
1083	#6157	—	4	1	no	—
1084	#6157	—	4	1	no	—
1085	C₄×C₅₃	—	2	1	no	—
1086	C₄×C₅₃	—	2	1	no	—
1087	C₄×C₅₃	—	2	1	no	—
1088	C₄×C₅₃	—	2	1	no	—
1089	C₄×C₅₃	—	2	1	no	—
1090	C₄×C₅₃	—	2	1	no	—
1091	C₄×C₅₃	—	2	1	no	—
1092	C₄×C₅₃	—	2	1	no	—
1093	C₄×C₅₃	—	2	1	no	—
1094	C₄×C₅₃	—	2	1	no	—
1095	Dic₅₃	—	2	1	no	—
1096	Dic₅₃	—	2	1	no	—
1097	Dic₅₃	—	2	1	no	—
1098	Dic₅₃	—	2	1	no	—
1099	Dic₅₃	—	2	1	no	—
1100	Dic₅₃	—	2	1	no	—
1101	Dic₅₃	—	2	1	no	—
1102	Dic₅₃	—	2	1	no	—
1103	Dic₅₃	—	2	1	no	—
1104	Dic₅₃	—	2	1	no	—
1105	C₂×#538	—	53	1	no	—
1106	#2383	—	53	1	no	—
1107	#2379	—	53	1	no	—
1108	#2377	—	53	1	no	—
1109	#2376	—	53	1	no	—
1110	#2373	—	53	1	no	—
1111	#2368	—	53	1	no	—
1112	#2367	—	53	1	no	—
1113	#2364	—	53	1	no	—
1114	#2361	—	53	1	no	—
1115	#2361	—	53	1	no	—
1116	#2360	—	53	1	no	—
1117	#2359	—	53	1	no	—
1118	#2353	—	53	1	no	—
1119	#2352	—	53	1	no	—
1120	#2349	—	53	1	no	—
1121	D₄×C₄⋊C₄	—	53	1	no	—
1122	#2337	—	53	1	no	—
1123	#2335	—	53	1	no	—
1124	#2334	—	53	1	no	—
1125	#2334	—	53	1	no	—
1126	#2326	—	53	1	no	—
1127	#2325	—	53	1	no	—
1128	#2324	—	53	1	no	—
1129	#2322	—	53	1	no	—
1130	#2321	—	53	1	no	—
1131	#2321	—	53	1	no	—
1132	#2312	—	53	1	no	—
1133	C₄×#120	—	53	1	no	—
1134	C₄×#120	—	53	1	no	—
1135	C₂×#385	—	53	1	no	—
1136	C₂×C₅₃	—	2	2	no	—
1137	C₂×C₅₃	—	4	1	no	—
1138	C₂×C₅₃	—	4	1	no	—
1139	C₂×C₅₃	—	4	1	no	—
1140	C₂×C₅₃	—	4	1	no	—
1141	C₂×C₅₃	C₂×#520	1	1	yes	characteristic
1142	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1143	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1144	D₅₃	—	2	2	no	—
1145	D₅₃	—	4	1	no	—
1146	D₅₃	—	4	1	no	—
1147	D₅₃	—	4	1	no	—
1148	D₅₃	—	4	1	no	—
1149	D₅₃	#3532	1	1	yes	characteristic
1150	D₅₃	#3533	1	1	yes	characteristic
1151	D₅₃	#3541	1	1	yes	characteristic
1152	D₅₃	#3541	1	1	yes	characteristic
1153	C₂⁴×C₄	—	53	1	no	—
1154	#538	—	53	1	no	—
1155	#538	—	53	1	no	—
1156	#538	—	53	1	no	—
1157	#538	—	53	1	no	—
1158	#538	—	53	1	no	—
1159	#538	—	53	1	no	—
1160	#538	—	53	1	no	—
1161	#538	—	53	1	no	—
1162	#538	—	53	1	no	—
1163	#538	—	53	1	no	—
1164	#538	—	53	1	no	—
1165	#538	—	53	1	no	—
1166	#538	—	53	1	no	—
1167	#538	—	53	1	no	—
1168	#538	—	53	1	no	—
1169	#538	#6157	1	1	yes	characteristic, complemented
1170	C₂×#126	—	53	1	no	—
1171	C₂×#126	—	53	1	no	—
1172	C₂×#124	—	53	1	no	—
1173	C₂×#124	—	53	1	no	—
1174	C₂×#123	—	53	1	no	—
1175	C₂×#123	—	53	1	no	—
1176	C₂×C₂²⋊Q₈	—	53	1	no	—
1177	C₂×#121	—	53	1	no	—
1178	C₂×#121	—	53	1	no	—
1179	C₂×#121	—	53	1	no	—
1180	C₂×#120	—	53	1	no	—
1181	C₂×#120	—	53	1	no	—
1182	C₂×C₄×Q₈	—	53	1	no	—
1183	C₂×C₄×D₄	—	53	1	no	—
1184	C₂×C₄×D₄	—	53	1	no	—
1185	C₂×C₄×D₄	—	53	1	no	—
1186	C₂×C₄×D₄	—	53	1	no	—
1187	C₂×C₄×D₄	—	53	1	no	—
1188	C₂×C₄×D₄	—	53	1	no	—
1189	C₂×C₄×D₄	—	53	1	no	—
1190	C₂×C₄×D₄	—	53	1	no	—
1191	C₂×C₄×D₄	—	53	1	no	—
1192	C₂×C₄×D₄	—	53	1	no	—
1193	C₂×C₄×D₄	—	53	1	no	—
1194	C₂×#117	—	53	1	no	—
1195	C₂²×C₄⋊C₄	—	53	1	no	—
1196	C₂²×C₄⋊C₄	—	53	1	no	—
1197	C₂²×C₄⋊C₄	—	53	1	no	—
1198	C₂²×C₂²⋊C₄	—	53	1	no	—
1199	C₂²×C₂²⋊C₄	—	53	1	no	—
1200	#391	—	53	1	no	—
1201	#391	—	53	1	no	—
1202	#391	—	53	1	no	—
1203	#390	—	53	1	no	—
1204	#390	—	53	1	no	—
1205	#390	—	53	1	no	—
1206	#390	—	53	1	no	—
1207	#390	—	53	1	no	—
1208	#389	—	53	1	no	—
1209	#389	—	53	1	no	—
1210	#389	—	53	1	no	—
1211	#389	—	53	1	no	—
1212	#389	—	53	1	no	—
1213	#389	—	53	1	no	—
1214	#389	—	53	1	no	—
1215	#389	—	53	1	no	—
1216	#388	—	53	1	no	—
1217	#388	—	53	1	no	—
1218	#388	—	53	1	no	—
1219	#388	—	53	1	no	—
1220	#388	—	53	1	no	—
1221	#388	—	53	1	no	—
1222	#388	—	53	1	no	—
1223	#388	—	53	1	no	—
1224	#388	—	53	1	no	—
1225	#388	—	53	1	no	—
1226	#388	—	53	1	no	—
1227	#388	—	53	1	no	—
1228	#388	—	53	1	no	—
1229	#388	—	53	1	no	—
1230	#388	—	53	1	no	—
1231	#388	—	53	1	no	—
1232	#388	—	53	1	no	—
1233	#388	—	53	1	no	—
1234	#388	—	53	1	no	—
1235	#388	—	53	1	no	—
1236	#388	—	53	1	no	—
1237	#388	—	53	1	no	—
1238	#388	—	53	1	no	—
1239	#388	—	53	1	no	—
1240	#387	—	53	1	no	—
1241	#387	—	53	1	no	—
1242	#387	—	53	1	no	—
1243	#387	—	53	1	no	—
1244	#387	—	53	1	no	—
1245	#387	—	53	1	no	—
1246	#387	—	53	1	no	—
1247	#387	—	53	1	no	—
1248	#387	—	53	1	no	—
1249	#387	—	53	1	no	—
1250	#387	—	53	1	no	—
1251	#387	—	53	1	no	—
1252	#386	—	53	1	no	—
1253	#386	—	53	1	no	—
1254	#386	—	53	1	no	—
1255	#386	—	53	1	no	—
1256	#386	—	53	1	no	—
1257	#386	—	53	1	no	—
1258	#386	—	53	1	no	—
1259	#386	—	53	1	no	—
1260	#386	—	53	1	no	—
1261	#386	—	53	1	no	—
1262	#386	—	53	1	no	—
1263	#386	—	53	1	no	—
1264	#386	—	53	1	no	—
1265	#386	—	53	1	no	—
1266	#385	—	53	1	no	—
1267	#385	—	53	1	no	—
1268	#385	—	53	1	no	—
1269	#385	—	53	1	no	—
1270	#385	—	53	1	no	—
1271	#385	—	53	1	no	—
1272	#385	—	53	1	no	—
1273	#385	—	53	1	no	—
1274	#385	—	53	1	no	—
1275	#385	—	53	1	no	—
1276	#385	—	53	1	no	—
1277	#385	—	53	1	no	—
1278	#385	—	53	1	no	—
1279	#385	—	53	1	no	—
1280	#385	—	53	1	no	—
1281	#385	—	53	1	no	—
1282	#385	—	53	1	no	—
1283	#385	—	53	1	no	—
1284	#385	—	53	1	no	—
1285	#385	—	53	1	no	—
1286	#385	—	53	1	no	—
1287	#385	—	53	1	no	—
1288	#384	—	53	1	no	—
1289	#383	—	53	1	no	—
1290	#382	—	53	1	no	—
1291	#382	—	53	1	no	—
1292	#381	—	53	1	no	—
1293	#380	—	53	1	no	—
1294	#380	—	53	1	no	—
1295	#380	—	53	1	no	—
1296	#380	—	53	1	no	—
1297	#380	—	53	1	no	—
1298	#379	—	53	1	no	—
1299	#379	—	53	1	no	—
1300	C₄×C₄⋊C₄	—	53	1	no	—
1301	C₄×C₄⋊C₄	—	53	1	no	—
1302	C₄×C₄⋊C₄	—	53	1	no	—
1303	C₄×C₄⋊C₄	—	53	1	no	—
1304	C₄×C₄⋊C₄	—	53	1	no	—
1305	C₄×C₄⋊C₄	—	53	1	no	—
1306	C₄×C₄⋊C₄	—	53	1	no	—
1307	C₄×C₂²⋊C₄	—	53	1	no	—
1308	C₄×C₂²⋊C₄	—	53	1	no	—
1309	C₄×C₂²⋊C₄	—	53	1	no	—
1310	C₄×C₂²⋊C₄	—	53	1	no	—
1311	C₄×C₂²⋊C₄	—	53	1	no	—
1312	C₄×C₂²⋊C₄	—	53	1	no	—
1313	C₄×C₂²⋊C₄	—	53	1	no	—
1314	C₄×C₂²⋊C₄	—	53	1	no	—
1315	C₄×C₂²⋊C₄	—	53	1	no	—
1316	C₄×C₂²⋊C₄	—	53	1	no	—
1317	C₄×C₂²⋊C₄	—	53	1	no	—
1318	C₄×C₂²⋊C₄	—	53	1	no	—
1319	C₄×C₂²⋊C₄	—	53	1	no	—
1320	#376	—	53	1	no	—
1321	C₂×#95	—	53	1	no	—
1322	C₂×#95	—	53	1	no	—
1323	C₂×#95	—	53	1	no	—
1324	C₅₃	#34416	1	1	yes	characteristic, complemented, Sylow
1325	C₂⁵	—	53	1	no	—
1326	C₂²×Q₈	—	53	1	no	—
1327	C₂²×D₄	—	53	1	no	—
1328	C₂²×D₄	—	53	1	no	—
1329	C₂²×D₄	—	53	1	no	—
1330	C₂²×D₄	—	53	1	no	—
1331	C₂²×D₄	—	53	1	no	—
1332	C₂²×D₄	—	53	1	no	—
1333	C₂²×D₄	—	53	1	no	—
1334	C₂³×C₄	—	53	1	no	—
1335	C₂³×C₄	—	53	1	no	—
1336	C₂³×C₄	—	53	1	no	—
1337	C₂³×C₄	—	53	1	no	—
1338	C₂³×C₄	—	53	1	no	—
1339	C₂³×C₄	—	53	1	no	—
1340	C₂³×C₄	—	53	1	no	—
1341	C₂³×C₄	—	53	1	no	—
1342	C₂³×C₄	—	53	1	no	—
1343	C₂³×C₄	—	53	1	no	—
1344	C₂³×C₄	—	53	1	no	—
1345	C₂³×C₄	—	53	1	no	—
1346	C₂³×C₄	—	53	1	no	—
1347	C₂³×C₄	—	53	1	no	—
1348	C₂³×C₄	—	53	1	no	—
1349	C₂³×C₄	—	53	1	no	—
1350	C₂³×C₄	—	212	2	no	—
1351	C₂³×C₄	—	212	2	no	—
1352	C₂³×C₄	—	212	2	no	—
1353	#126	—	53	1	no	—
1354	#126	—	53	1	no	—
1355	#126	—	53	1	no	—
1356	#126	—	53	1	no	—
1357	#126	—	53	1	no	—
1358	#126	—	53	1	no	—
1359	#126	—	53	1	no	—
1360	#126	—	53	1	no	—
1361	#126	—	53	1	no	—
1362	#126	—	53	1	no	—
1363	#126	—	53	1	no	—
1364	#126	—	53	1	no	—
1365	#126	—	53	1	no	—
1366	#126	—	53	1	no	—
1367	#126	C₂×#6157	1	1	yes	characteristic, complemented
1368	#126	C₂×#6157	1	1	yes	characteristic, complemented
1369	#124	—	53	1	no	—
1370	#124	—	53	1	no	—
1371	#124	—	53	1	no	—
1372	#124	—	53	1	no	—
1373	#124	—	53	1	no	—
1374	#124	—	53	1	no	—
1375	#124	—	53	1	no	—
1376	#124	—	53	1	no	—
1377	#124	—	53	1	no	—
1378	#124	—	53	1	no	—
1379	#124	—	53	1	no	—
1380	#124	—	53	1	no	—
1381	#124	—	53	1	no	—
1382	#124	—	53	1	no	—
1383	#124	C₂×#6157	1	1	yes	characteristic, complemented
1384	#124	C₂×#6157	1	1	yes	characteristic, complemented
1385	#123	—	53	1	no	—
1386	#123	—	53	1	no	—
1387	#123	—	53	1	no	—
1388	#123	—	53	1	no	—
1389	#123	—	53	1	no	—
1390	#123	—	53	1	no	—
1391	#123	—	53	1	no	—
1392	#123	—	53	1	no	—
1393	#123	—	53	1	no	—
1394	#123	—	53	1	no	—
1395	#123	—	53	1	no	—
1396	#123	—	53	1	no	—
1397	#123	—	53	1	no	—
1398	#123	—	53	1	no	—
1399	#123	C₂×#6157	1	1	yes	characteristic, complemented
1400	#123	C₂×#6157	1	1	yes	characteristic, complemented
1401	C₂²⋊Q₈	—	53	1	no	—
1402	C₂²⋊Q₈	—	53	1	no	—
1403	C₂²⋊Q₈	—	53	1	no	—
1404	C₂²⋊Q₈	—	53	1	no	—
1405	C₂²⋊Q₈	—	53	1	no	—
1406	C₂²⋊Q₈	—	53	1	no	—
1407	C₂²⋊Q₈	—	53	1	no	—
1408	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1409	#121	—	53	1	no	—
1410	#121	—	53	1	no	—
1411	#121	—	53	1	no	—
1412	#121	—	53	1	no	—
1413	#121	—	53	1	no	—
1414	#121	—	53	1	no	—
1415	#121	—	53	1	no	—
1416	#121	—	53	1	no	—
1417	#121	—	53	1	no	—
1418	#121	—	53	1	no	—
1419	#121	—	53	1	no	—
1420	#121	—	53	1	no	—
1421	#121	—	53	1	no	—
1422	#121	—	53	1	no	—
1423	#121	—	53	1	no	—
1424	#121	—	53	1	no	—
1425	#121	—	53	1	no	—
1426	#121	—	53	1	no	—
1427	#121	—	53	1	no	—
1428	#121	—	53	1	no	—
1429	#121	—	53	1	no	—
1430	#121	C₂×#6157	1	1	yes	characteristic, complemented
1431	#121	C₂×#6157	1	1	yes	characteristic, complemented
1432	#121	C₂×#6157	1	1	yes	characteristic, complemented
1433	#120	—	53	1	no	—
1434	#120	—	53	1	no	—
1435	#120	—	53	1	no	—
1436	#120	—	53	1	no	—
1437	#120	—	53	1	no	—
1438	#120	—	53	1	no	—
1439	#120	—	53	1	no	—
1440	#120	—	53	1	no	—
1441	#120	—	53	1	no	—
1442	#120	—	53	1	no	—
1443	#120	—	53	1	no	—
1444	#120	—	53	1	no	—
1445	#120	—	53	1	no	—
1446	#120	—	53	1	no	—
1447	#120	C₂×#6157	1	1	yes	characteristic, complemented
1448	#120	C₂×#6157	1	1	yes	characteristic, complemented
1449	C₄×Q₈	—	212	2	no	—
1450	C₄×D₄	—	53	1	no	—
1451	C₄×D₄	—	53	1	no	—
1452	C₄×D₄	—	53	1	no	—
1453	C₄×D₄	—	53	1	no	—
1454	C₄×D₄	—	53	1	no	—
1455	C₄×D₄	—	53	1	no	—
1456	C₄×D₄	—	53	1	no	—
1457	C₄×D₄	—	53	1	no	—
1458	C₄×D₄	—	53	1	no	—
1459	C₄×D₄	—	53	1	no	—
1460	C₄×D₄	—	53	1	no	—
1461	C₄×D₄	—	53	1	no	—
1462	C₄×D₄	—	53	1	no	—
1463	C₄×D₄	—	53	1	no	—
1464	C₄×D₄	—	212	2	no	—
1465	C₄×D₄	—	212	2	no	—
1466	C₄×D₄	—	212	2	no	—
1467	C₄×D₄	—	212	2	no	—
1468	C₄×D₄	—	212	2	no	—
1469	C₄×D₄	—	212	2	no	—
1470	C₄×D₄	—	212	2	no	—
1471	C₄×D₄	—	212	2	no	—
1472	C₄×D₄	—	212	2	no	—
1473	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1474	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1475	#117	—	212	2	no	—
1476	C₂×C₄⋊C₄	—	53	1	no	—
1477	C₂×C₄⋊C₄	—	53	1	no	—
1478	C₂×C₄⋊C₄	—	53	1	no	—
1479	C₂×C₄⋊C₄	—	53	1	no	—
1480	C₂×C₄⋊C₄	—	53	1	no	—
1481	C₂×C₄⋊C₄	—	53	1	no	—
1482	C₂×C₄⋊C₄	—	53	1	no	—
1483	C₂×C₄⋊C₄	—	53	1	no	—
1484	C₂×C₄⋊C₄	—	53	1	no	—
1485	C₂×C₄⋊C₄	—	53	1	no	—
1486	C₂×C₄⋊C₄	—	53	1	no	—
1487	C₂×C₄⋊C₄	—	53	1	no	—
1488	C₂×C₄⋊C₄	—	53	1	no	—
1489	C₂×C₄⋊C₄	—	53	1	no	—
1490	C₂×C₄⋊C₄	—	53	1	no	—
1491	C₂×C₄⋊C₄	—	53	1	no	—
1492	C₂×C₄⋊C₄	—	53	1	no	—
1493	C₂×C₄⋊C₄	—	53	1	no	—
1494	C₂×C₄⋊C₄	—	53	1	no	—
1495	C₂×C₄⋊C₄	—	53	1	no	—
1496	C₂×C₄⋊C₄	—	53	1	no	—
1497	C₂×C₄⋊C₄	—	53	1	no	—
1498	C₂×C₄⋊C₄	—	53	1	no	—
1499	C₂×C₄⋊C₄	—	53	1	no	—
1500	C₂×C₄⋊C₄	—	53	1	no	—
1501	C₂×C₄⋊C₄	—	53	1	no	—
1502	C₂×C₄⋊C₄	—	53	1	no	—
1503	C₂×C₄⋊C₄	—	53	1	no	—
1504	C₂×C₄⋊C₄	—	53	1	no	—
1505	C₂×C₄⋊C₄	—	53	1	no	—
1506	C₂×C₄⋊C₄	—	212	2	no	—
1507	C₂×C₄⋊C₄	—	212	2	no	—
1508	C₂×C₄⋊C₄	—	212	2	no	—
1509	C₂×C₂²⋊C₄	—	53	1	no	—
1510	C₂×C₂²⋊C₄	—	53	1	no	—
1511	C₂×C₂²⋊C₄	—	53	1	no	—
1512	C₂×C₂²⋊C₄	—	53	1	no	—
1513	C₂×C₂²⋊C₄	—	53	1	no	—
1514	C₂×C₂²⋊C₄	—	53	1	no	—
1515	C₂×C₂²⋊C₄	—	53	1	no	—
1516	C₂×C₂²⋊C₄	—	53	1	no	—
1517	C₂×C₂²⋊C₄	—	53	1	no	—
1518	C₂×C₂²⋊C₄	—	53	1	no	—
1519	C₂×C₂²⋊C₄	—	53	1	no	—
1520	C₂×C₂²⋊C₄	—	53	1	no	—
1521	C₂×C₂²⋊C₄	—	53	1	no	—
1522	C₂×C₂²⋊C₄	—	53	1	no	—
1523	C₂×C₂²⋊C₄	—	53	1	no	—
1524	C₂×C₂²⋊C₄	—	53	1	no	—
1525	C₂×C₂²⋊C₄	—	53	1	no	—
1526	C₂×C₂²⋊C₄	—	53	1	no	—
1527	C₂×C₂²⋊C₄	—	53	1	no	—
1528	C₂×C₂²⋊C₄	—	53	1	no	—
1529	C₂×C₂²⋊C₄	—	53	1	no	—
1530	C₂×C₂²⋊C₄	—	53	1	no	—
1531	C₂×C₂²⋊C₄	—	53	1	no	—
1532	C₂×C₂²⋊C₄	—	53	1	no	—
1533	C₂×C₂²⋊C₄	—	53	1	no	—
1534	C₂×C₂²⋊C₄	—	53	1	no	—
1535	C₂×C₂²⋊C₄	—	53	1	no	—
1536	C₂×C₂²⋊C₄	—	53	1	no	—
1537	C₂×C₂²⋊C₄	—	53	1	no	—
1538	C₂×C₂²⋊C₄	—	53	1	no	—
1539	C₂×C₂²⋊C₄	—	53	1	no	—
1540	C₂×C₂²⋊C₄	—	53	1	no	—
1541	C₂×C₂²⋊C₄	—	53	1	no	—
1542	C₂×C₂²⋊C₄	—	53	1	no	—
1543	C₂×C₂²⋊C₄	—	53	1	no	—
1544	C₂×C₂²⋊C₄	—	53	1	no	—
1545	C₂×C₂²⋊C₄	—	53	1	no	—
1546	C₂×C₂²⋊C₄	—	53	1	no	—
1547	C₂×C₂²⋊C₄	—	53	1	no	—
1548	C₂×C₂²⋊C₄	—	53	1	no	—
1549	C₂×C₂²⋊C₄	—	53	1	no	—
1550	C₂×C₂²⋊C₄	—	53	1	no	—
1551	C₂×C₂²⋊C₄	—	53	1	no	—
1552	C₂×C₂²⋊C₄	—	53	1	no	—
1553	C₂×C₂²⋊C₄	—	53	1	no	—
1554	C₂×C₂²⋊C₄	—	53	1	no	—
1555	C₂×C₂²⋊C₄	—	53	1	no	—
1556	C₂×C₂²⋊C₄	—	53	1	no	—
1557	C₂×C₂²⋊C₄	—	53	1	no	—
1558	C₂×C₂²⋊C₄	—	212	2	no	—
1559	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1560	C₂×C₄²	—	53	1	no	—
1561	C₂×C₄²	—	53	1	no	—
1562	C₂×C₄²	—	53	1	no	—
1563	C₂×C₄²	—	53	1	no	—
1564	C₂×C₄²	—	53	1	no	—
1565	C₂×C₄²	—	53	1	no	—
1566	C₂×C₄²	—	53	1	no	—
1567	C₂×C₄²	—	53	1	no	—
1568	C₂×C₄²	—	53	1	no	—
1569	C₂×C₄²	—	53	1	no	—
1570	C₂×C₄²	—	53	1	no	—
1571	C₂×C₄²	—	53	1	no	—
1572	C₂×C₄²	—	53	1	no	—
1573	C₂×C₄²	—	53	1	no	—
1574	C₂×C₄²	—	53	1	no	—
1575	C₂×C₄²	—	53	1	no	—
1576	C₂×C₄²	—	53	1	no	—
1577	C₂×C₄²	—	53	1	no	—
1578	#95	—	53	1	no	—
1579	#95	—	53	1	no	—
1580	#95	—	53	1	no	—
1581	#95	—	53	1	no	—
1582	#95	—	53	1	no	—
1583	#95	—	53	1	no	—
1584	#95	—	53	1	no	—
1585	#95	—	53	1	no	—
1586	#95	—	53	1	no	—
1587	#95	—	53	1	no	—
1588	#95	—	53	1	no	—
1589	#95	—	53	1	no	—
1590	#95	—	53	1	no	—
1591	#95	—	53	1	no	—
1592	#95	—	53	1	no	—
1593	#95	—	53	1	no	—
1594	#95	—	53	1	no	—
1595	#95	—	53	1	no	—
1596	#95	—	53	1	no	—
1597	#95	—	53	1	no	—
1598	#95	—	53	1	no	—
1599	#95	—	53	1	no	—
1600	#95	—	53	1	no	—
1601	#95	—	53	1	no	—
1602	#95	—	53	1	no	—
1603	#95	—	53	1	no	—
1604	#95	—	53	1	no	—
1605	#95	—	53	1	no	—
1606	#95	—	53	1	no	—
1607	#95	—	53	1	no	—
1608	#95	—	53	1	no	—
1609	#95	—	53	1	no	—
1610	#95	—	53	1	no	—
1611	#95	—	53	1	no	—
1612	#95	—	53	1	no	—
1613	#95	—	53	1	no	—
1614	#95	—	53	1	no	—
1615	#95	—	53	1	no	—
1616	#95	—	53	1	no	—
1617	#95	—	53	1	no	—
1618	C₂⁴	—	53	1	no	—
1619	C₂⁴	—	53	1	no	—
1620	C₂⁴	—	53	1	no	—
1621	C₂⁴	—	53	1	no	—
1622	C₂⁴	—	53	1	no	—
1623	C₂⁴	—	53	1	no	—
1624	C₂⁴	—	53	1	no	—
1625	C₂⁴	—	53	1	no	—
1626	C₂⁴	—	106	2	no	—
1627	C₂⁴	—	106	2	no	—
1628	C₂⁴	—	212	1	no	—
1629	C₂⁴	—	212	1	no	—
1630	C₂⁴	—	212	1	no	—
1631	C₂⁴	—	212	1	no	—
1632	C₂⁴	C₂²×#6157	1	1	yes	characteristic
1633	C₂×Q₈	—	53	1	no	—
1634	C₂×Q₈	—	53	1	no	—
1635	C₂×Q₈	—	53	1	no	—
1636	C₂×Q₈	—	212	1	no	—
1637	C₂×Q₈	—	212	1	no	—
1638	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic, complemented
1639	C₂×D₄	—	53	1	no	—
1640	C₂×D₄	—	53	1	no	—
1641	C₂×D₄	—	53	1	no	—
1642	C₂×D₄	—	53	1	no	—
1643	C₂×D₄	—	53	1	no	—
1644	C₂×D₄	—	53	1	no	—
1645	C₂×D₄	—	53	1	no	—
1646	C₂×D₄	—	53	1	no	—
1647	C₂×D₄	—	53	1	no	—
1648	C₂×D₄	—	53	1	no	—
1649	C₂×D₄	—	53	1	no	—
1650	C₂×D₄	—	53	1	no	—
1651	C₂×D₄	—	53	1	no	—
1652	C₂×D₄	—	53	1	no	—
1653	C₂×D₄	—	53	1	no	—
1654	C₂×D₄	—	53	1	no	—
1655	C₂×D₄	—	53	1	no	—
1656	C₂×D₄	—	53	1	no	—
1657	C₂×D₄	—	53	1	no	—
1658	C₂×D₄	—	53	1	no	—
1659	C₂×D₄	—	53	1	no	—
1660	C₂×D₄	—	106	2	no	—
1661	C₂×D₄	—	106	2	no	—
1662	C₂×D₄	—	106	2	no	—
1663	C₂×D₄	—	106	2	no	—
1664	C₂×D₄	—	212	1	no	—
1665	C₂×D₄	—	212	1	no	—
1666	C₂×D₄	—	212	1	no	—
1667	C₂×D₄	—	212	1	no	—
1668	C₂×D₄	—	212	1	no	—
1669	C₂×D₄	—	212	1	no	—
1670	C₂×D₄	—	212	1	no	—
1671	C₂×D₄	—	212	1	no	—
1672	C₂×D₄	—	212	1	no	—
1673	C₂×D₄	—	212	1	no	—
1674	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1675	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1676	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1677	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1678	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1679	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1680	C₂×D₄	C₂²×#6157	1	1	yes	characteristic, complemented
1681	C₂²×C₄	—	53	1	no	—
1682	C₂²×C₄	—	53	1	no	—
1683	C₂²×C₄	—	53	1	no	—
1684	C₂²×C₄	—	53	1	no	—
1685	C₂²×C₄	—	53	1	no	—
1686	C₂²×C₄	—	53	1	no	—
1687	C₂²×C₄	—	53	1	no	—
1688	C₂²×C₄	—	53	1	no	—
1689	C₂²×C₄	—	53	1	no	—
1690	C₂²×C₄	—	53	1	no	—
1691	C₂²×C₄	—	53	1	no	—
1692	C₂²×C₄	—	53	1	no	—
1693	C₂²×C₄	—	53	1	no	—
1694	C₂²×C₄	—	53	1	no	—
1695	C₂²×C₄	—	53	1	no	—
1696	C₂²×C₄	—	53	1	no	—
1697	C₂²×C₄	—	53	1	no	—
1698	C₂²×C₄	—	53	1	no	—
1699	C₂²×C₄	—	53	1	no	—
1700	C₂²×C₄	—	53	1	no	—
1701	C₂²×C₄	—	53	1	no	—
1702	C₂²×C₄	—	53	1	no	—
1703	C₂²×C₄	—	53	1	no	—
1704	C₂²×C₄	—	53	1	no	—
1705	C₂²×C₄	—	53	1	no	—
1706	C₂²×C₄	—	53	1	no	—
1707	C₂²×C₄	—	53	1	no	—
1708	C₂²×C₄	—	53	1	no	—
1709	C₂²×C₄	—	53	1	no	—
1710	C₂²×C₄	—	53	1	no	—
1711	C₂²×C₄	—	53	1	no	—
1712	C₂²×C₄	—	53	1	no	—
1713	C₂²×C₄	—	53	1	no	—
1714	C₂²×C₄	—	53	1	no	—
1715	C₂²×C₄	—	53	1	no	—
1716	C₂²×C₄	—	53	1	no	—
1717	C₂²×C₄	—	53	1	no	—
1718	C₂²×C₄	—	53	1	no	—
1719	C₂²×C₄	—	106	2	no	—
1720	C₂²×C₄	—	106	2	no	—
1721	C₂²×C₄	—	106	2	no	—
1722	C₂²×C₄	—	106	2	no	—
1723	C₂²×C₄	—	106	2	no	—
1724	C₂²×C₄	—	106	2	no	—
1725	C₂²×C₄	—	106	2	no	—
1726	C₂²×C₄	—	106	2	no	—
1727	C₂²×C₄	—	106	2	no	—
1728	C₂²×C₄	—	106	2	no	—
1729	C₂²×C₄	—	106	2	no	—
1730	C₂²×C₄	—	106	2	no	—
1731	C₂²×C₄	—	212	1	no	—
1732	C₂²×C₄	—	212	1	no	—
1733	C₂²×C₄	—	212	1	no	—
1734	C₂²×C₄	—	212	1	no	—
1735	C₂²×C₄	—	212	1	no	—
1736	C₂²×C₄	—	212	1	no	—
1737	C₂²×C₄	—	212	1	no	—
1738	C₂²×C₄	—	212	1	no	—
1739	C₂²×C₄	—	212	1	no	—
1740	C₂²×C₄	—	212	1	no	—
1741	C₂²×C₄	—	212	1	no	—
1742	C₂²×C₄	—	212	1	no	—
1743	C₂²×C₄	—	212	1	no	—
1744	C₂²×C₄	—	212	1	no	—
1745	C₂²×C₄	—	212	1	no	—
1746	C₂²×C₄	—	212	1	no	—
1747	C₂²×C₄	—	212	1	no	—
1748	C₂²×C₄	—	212	1	no	—
1749	C₂²×C₄	—	212	1	no	—
1750	C₂²×C₄	—	212	1	no	—
1751	C₂²×C₄	—	212	1	no	—
1752	C₂²×C₄	—	212	1	no	—
1753	C₂²×C₄	—	212	1	no	—
1754	C₂²×C₄	—	212	1	no	—
1755	C₂²×C₄	—	212	1	no	—
1756	C₂²×C₄	—	212	1	no	—
1757	C₂²×C₄	—	212	1	no	—
1758	C₂²×C₄	—	212	1	no	—
1759	C₂²×C₄	—	212	1	no	—
1760	C₂²×C₄	—	212	1	no	—
1761	C₂²×C₄	—	212	1	no	—
1762	C₂²×C₄	—	212	1	no	—
1763	C₂²×C₄	—	212	16	no	—
1764	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1765	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1766	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1767	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1768	C₄⋊C₄	—	53	1	no	—
1769	C₄⋊C₄	—	53	1	no	—
1770	C₄⋊C₄	—	53	1	no	—
1771	C₄⋊C₄	—	53	1	no	—
1772	C₄⋊C₄	—	53	1	no	—
1773	C₄⋊C₄	—	53	1	no	—
1774	C₄⋊C₄	—	53	1	no	—
1775	C₄⋊C₄	—	53	1	no	—
1776	C₄⋊C₄	—	53	1	no	—
1777	C₄⋊C₄	—	53	1	no	—
1778	C₄⋊C₄	—	53	1	no	—
1779	C₄⋊C₄	—	53	1	no	—
1780	C₄⋊C₄	—	53	1	no	—
1781	C₄⋊C₄	—	53	1	no	—
1782	C₄⋊C₄	—	53	1	no	—
1783	C₄⋊C₄	—	53	1	no	—
1784	C₄⋊C₄	—	53	1	no	—
1785	C₄⋊C₄	—	53	1	no	—
1786	C₄⋊C₄	—	106	2	no	—
1787	C₄⋊C₄	—	106	2	no	—
1788	C₄⋊C₄	—	106	2	no	—
1789	C₄⋊C₄	—	106	2	no	—
1790	C₄⋊C₄	—	106	2	no	—
1791	C₄⋊C₄	—	106	2	no	—
1792	C₄⋊C₄	—	212	1	no	—
1793	C₄⋊C₄	—	212	1	no	—
1794	C₄⋊C₄	—	212	1	no	—
1795	C₄⋊C₄	—	212	1	no	—
1796	C₄⋊C₄	—	212	1	no	—
1797	C₄⋊C₄	—	212	1	no	—
1798	C₄⋊C₄	—	212	1	no	—
1799	C₄⋊C₄	—	212	1	no	—
1800	C₄⋊C₄	—	212	1	no	—
1801	C₄⋊C₄	—	212	1	no	—
1802	C₄⋊C₄	—	212	1	no	—
1803	C₄⋊C₄	—	212	1	no	—
1804	C₄⋊C₄	—	212	1	no	—
1805	C₄⋊C₄	—	212	1	no	—
1806	C₄⋊C₄	—	212	1	no	—
1807	C₄⋊C₄	—	212	1	no	—
1808	C₄⋊C₄	—	212	1	no	—
1809	C₄⋊C₄	—	212	1	no	—
1810	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1811	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1812	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1813	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1814	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1815	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1816	C₂²⋊C₄	—	53	1	no	—
1817	C₂²⋊C₄	—	53	1	no	—
1818	C₂²⋊C₄	—	53	1	no	—
1819	C₂²⋊C₄	—	53	1	no	—
1820	C₂²⋊C₄	—	53	1	no	—
1821	C₂²⋊C₄	—	53	1	no	—
1822	C₂²⋊C₄	—	53	1	no	—
1823	C₂²⋊C₄	—	53	1	no	—
1824	C₂²⋊C₄	—	53	1	no	—
1825	C₂²⋊C₄	—	53	1	no	—
1826	C₂²⋊C₄	—	53	1	no	—
1827	C₂²⋊C₄	—	53	1	no	—
1828	C₂²⋊C₄	—	53	1	no	—
1829	C₂²⋊C₄	—	53	1	no	—
1830	C₂²⋊C₄	—	53	1	no	—
1831	C₂²⋊C₄	—	53	1	no	—
1832	C₂²⋊C₄	—	53	1	no	—
1833	C₂²⋊C₄	—	53	1	no	—
1834	C₂²⋊C₄	—	53	1	no	—
1835	C₂²⋊C₄	—	53	1	no	—
1836	C₂²⋊C₄	—	53	1	no	—
1837	C₂²⋊C₄	—	53	1	no	—
1838	C₂²⋊C₄	—	53	1	no	—
1839	C₂²⋊C₄	—	53	1	no	—
1840	C₂²⋊C₄	—	53	1	no	—
1841	C₂²⋊C₄	—	53	1	no	—
1842	C₂²⋊C₄	—	53	1	no	—
1843	C₂²⋊C₄	—	53	1	no	—
1844	C₂²⋊C₄	—	53	1	no	—
1845	C₂²⋊C₄	—	53	1	no	—
1846	C₂²⋊C₄	—	53	1	no	—
1847	C₂²⋊C₄	—	53	1	no	—
1848	C₂²⋊C₄	—	53	1	no	—
1849	C₂²⋊C₄	—	53	1	no	—
1850	C₂²⋊C₄	—	53	1	no	—
1851	C₂²⋊C₄	—	53	1	no	—
1852	C₂²⋊C₄	—	53	1	no	—
1853	C₂²⋊C₄	—	53	1	no	—
1854	C₂²⋊C₄	—	53	1	no	—
1855	C₂²⋊C₄	—	53	1	no	—
1856	C₂²⋊C₄	—	53	1	no	—
1857	C₂²⋊C₄	—	53	1	no	—
1858	C₂²⋊C₄	—	106	2	no	—
1859	C₂²⋊C₄	—	106	2	no	—
1860	C₂²⋊C₄	—	106	2	no	—
1861	C₂²⋊C₄	—	106	2	no	—
1862	C₂²⋊C₄	—	106	2	no	—
1863	C₂²⋊C₄	—	106	2	no	—
1864	C₂²⋊C₄	—	212	1	no	—
1865	C₂²⋊C₄	—	212	1	no	—
1866	C₂²⋊C₄	—	212	1	no	—
1867	C₂²⋊C₄	—	212	1	no	—
1868	C₂²⋊C₄	—	212	1	no	—
1869	C₂²⋊C₄	—	212	1	no	—
1870	C₂²⋊C₄	—	212	1	no	—
1871	C₂²⋊C₄	—	212	1	no	—
1872	C₂²⋊C₄	—	212	1	no	—
1873	C₂²⋊C₄	—	212	1	no	—
1874	C₂²⋊C₄	—	212	1	no	—
1875	C₂²⋊C₄	—	212	1	no	—
1876	C₂²⋊C₄	—	212	1	no	—
1877	C₂²⋊C₄	—	212	1	no	—
1878	C₂²⋊C₄	—	212	1	no	—
1879	C₂²⋊C₄	—	212	1	no	—
1880	C₂²⋊C₄	—	212	1	no	—
1881	C₂²⋊C₄	—	212	1	no	—
1882	C₂²⋊C₄	—	212	1	no	—
1883	C₂²⋊C₄	—	212	1	no	—
1884	C₂²⋊C₄	—	212	1	no	—
1885	C₂²⋊C₄	—	212	1	no	—
1886	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1887	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1888	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1889	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1890	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1891	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1892	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1893	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1894	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1895	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1896	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1897	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1898	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1899	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1900	C₄²	—	53	1	no	—
1901	C₄²	—	53	1	no	—
1902	C₄²	—	53	1	no	—
1903	C₄²	—	53	1	no	—
1904	C₄²	—	53	1	no	—
1905	C₄²	—	53	1	no	—
1906	C₄²	—	106	2	no	—
1907	C₄²	—	106	2	no	—
1908	C₄²	—	212	1	no	—
1909	C₄²	—	212	1	no	—
1910	C₄²	—	212	1	no	—
1911	C₄²	—	212	1	no	—
1912	C₄²	—	212	1	no	—
1913	C₄²	—	212	1	no	—
1914	C₄²	—	212	1	no	—
1915	C₄²	—	212	1	no	—
1916	C₄²	—	212	1	no	—
1917	C₄²	—	212	1	no	—
1918	C₄²	—	212	1	no	—
1919	C₄²	—	212	1	no	—
1920	C₄²	—	212	1	no	—
1921	C₄²	—	212	1	no	—
1922	C₄²	C₂²×#6157	1	1	yes	characteristic, complemented
1923	C₄²	C₂²×#6157	1	1	yes	characteristic, complemented
1924	C₂³	—	2	2	no	—
1925	C₂³	—	4	1	no	—
1926	C₂³	—	4	1	no	—
1927	C₂³	—	53	1	no	—
1928	C₂³	—	53	2	no	—
1929	C₂³	—	53	2	no	—
1930	C₂³	—	53	1	no	—
1931	C₂³	—	53	1	no	—
1932	C₂³	—	53	1	no	—
1933	C₂³	—	53	1	no	—
1934	C₂³	—	53	1	no	—
1935	C₂³	—	106	1	no	—
1936	C₂³	—	106	1	no	—
1937	C₂³	—	106	1	no	—
1938	C₂³	—	106	1	no	—
1939	C₂³	—	106	1	no	—
1940	C₂³	—	106	1	no	—
1941	C₂³	—	106	1	no	—
1942	C₂³	—	106	1	no	—
1943	C₂³	—	106	1	no	—
1944	C₂³	—	106	1	no	—
1945	C₂³	—	106	1	no	—
1946	C₂³	—	106	1	no	—
1947	C₂³	—	106	1	no	—
1948	C₂³	—	106	1	no	—
1949	C₂³	—	106	1	no	—
1950	C₂³	—	106	1	no	—
1951	C₂³	—	106	1	no	—
1952	C₂³	—	106	1	no	—
1953	C₂³	—	106	1	no	—
1954	C₂³	—	106	1	no	—
1955	C₂³	—	106	1	no	—
1956	C₂³	—	106	1	no	—
1957	C₂³	—	106	1	no	—
1958	C₂³	—	106	1	no	—
1959	C₂³	—	106	1	no	—
1960	C₂³	—	106	1	no	—
1961	C₂³	—	106	1	no	—
1962	C₂³	—	106	1	no	—
1963	C₂³	—	106	2	no	—
1964	C₂³	—	106	2	no	—
1965	C₂³	—	106	2	no	—
1966	C₂³	—	212	1	no	—
1967	C₂³	—	212	1	no	—
1968	C₂³	—	212	1	no	—
1969	C₂³	—	212	1	no	—
1970	C₂³	—	212	1	no	—
1971	C₂³	—	212	1	no	—
1972	C₂³	—	212	4	no	—
1973	C₂³	—	212	4	no	—
1974	C₂³	—	212	4	no	—
1975	C₂³	—	212	4	no	—
1976	C₂³	C₂³×#6157	1	1	yes	characteristic
1977	C₂³	C₂³×#6157	1	1	yes	characteristic
1978	C₂³	C₂³×#6157	1	1	yes	characteristic
1979	C₂³	C₂³×#6157	1	1	yes	characteristic
1980	C₂³	C₂³×#6157	1	1	yes	characteristic
1981	Q₈	—	4	1	no	—
1982	Q₈	—	212	1	no	—
1983	Q₈	—	212	1	no	—
1984	Q₈	—	212	1	no	—
1985	D₄	—	2	2	no	—
1986	D₄	—	2	2	no	—
1987	D₄	—	4	1	no	—
1988	D₄	—	4	1	no	—
1989	D₄	—	4	1	no	—
1990	D₄	—	4	1	no	—
1991	D₄	—	4	1	no	—
1992	D₄	—	106	2	no	—
1993	D₄	—	106	2	no	—
1994	D₄	—	106	2	no	—
1995	D₄	—	106	2	no	—
1996	D₄	—	106	2	no	—
1997	D₄	—	106	2	no	—
1998	D₄	—	212	1	no	—
1999	D₄	—	212	1	no	—
2000	D₄	—	212	1	no	—
2001	D₄	—	212	1	no	—
2002	D₄	—	212	1	no	—
2003	D₄	—	212	1	no	—
2004	D₄	—	212	1	no	—
2005	D₄	—	212	1	no	—
2006	D₄	—	212	1	no	—
2007	D₄	—	212	1	no	—
2008	D₄	—	212	1	no	—
2009	D₄	—	212	1	no	—
2010	D₄	—	212	1	no	—
2011	D₄	—	212	1	no	—
2012	D₄	—	212	1	no	—
2013	C₂×C₄	—	4	1	no	—
2014	C₂×C₄	—	4	1	no	—
2015	C₂×C₄	—	4	1	no	—
2016	C₂×C₄	—	4	1	no	—
2017	C₂×C₄	—	53	2	no	—
2018	C₂×C₄	—	53	2	no	—
2019	C₂×C₄	—	53	1	no	—
2020	C₂×C₄	—	53	1	no	—
2021	C₂×C₄	—	53	1	no	—
2022	C₂×C₄	—	53	1	no	—
2023	C₂×C₄	—	53	1	no	—
2024	C₂×C₄	—	53	1	no	—
2025	C₂×C₄	—	53	1	no	—
2026	C₂×C₄	—	53	1	no	—
2027	C₂×C₄	—	53	1	no	—
2028	C₂×C₄	—	53	1	no	—
2029	C₂×C₄	—	106	1	no	—
2030	C₂×C₄	—	106	1	no	—
2031	C₂×C₄	—	106	1	no	—
2032	C₂×C₄	—	106	1	no	—
2033	C₂×C₄	—	106	1	no	—
2034	C₂×C₄	—	106	1	no	—
2035	C₂×C₄	—	106	1	no	—
2036	C₂×C₄	—	106	1	no	—
2037	C₂×C₄	—	106	1	no	—
2038	C₂×C₄	—	106	1	no	—
2039	C₂×C₄	—	106	1	no	—
2040	C₂×C₄	—	106	1	no	—
2041	C₂×C₄	—	106	1	no	—
2042	C₂×C₄	—	106	1	no	—
2043	C₂×C₄	—	106	1	no	—
2044	C₂×C₄	—	106	1	no	—
2045	C₂×C₄	—	106	1	no	—
2046	C₂×C₄	—	106	1	no	—
2047	C₂×C₄	—	106	1	no	—
2048	C₂×C₄	—	106	1	no	—
2049	C₂×C₄	—	106	1	no	—
2050	C₂×C₄	—	106	1	no	—
2051	C₂×C₄	—	106	1	no	—
2052	C₂×C₄	—	106	1	no	—
2053	C₂×C₄	—	106	1	no	—
2054	C₂×C₄	—	106	1	no	—
2055	C₂×C₄	—	106	1	no	—
2056	C₂×C₄	—	106	1	no	—
2057	C₂×C₄	—	106	1	no	—
2058	C₂×C₄	—	106	1	no	—
2059	C₂×C₄	—	106	1	no	—
2060	C₂×C₄	—	106	1	no	—
2061	C₂×C₄	—	106	1	no	—
2062	C₂×C₄	—	106	1	no	—
2063	C₂×C₄	—	106	1	no	—
2064	C₂×C₄	—	106	1	no	—
2065	C₂×C₄	—	106	1	no	—
2066	C₂×C₄	—	106	1	no	—
2067	C₂×C₄	—	106	1	no	—
2068	C₂×C₄	—	106	1	no	—
2069	C₂×C₄	—	106	1	no	—
2070	C₂×C₄	—	106	1	no	—
2071	C₂×C₄	—	106	1	no	—
2072	C₂×C₄	—	106	1	no	—
2073	C₂×C₄	—	106	1	no	—
2074	C₂×C₄	—	106	1	no	—
2075	C₂×C₄	—	106	1	no	—
2076	C₂×C₄	—	106	1	no	—
2077	C₂×C₄	—	106	1	no	—
2078	C₂×C₄	—	106	1	no	—
2079	C₂×C₄	—	106	1	no	—
2080	C₂×C₄	—	106	1	no	—
2081	C₂×C₄	—	106	1	no	—
2082	C₂×C₄	—	106	1	no	—
2083	C₂×C₄	—	106	1	no	—
2084	C₂×C₄	—	106	1	no	—
2085	C₂×C₄	—	106	1	no	—
2086	C₂×C₄	—	106	1	no	—
2087	C₂×C₄	—	106	1	no	—
2088	C₂×C₄	—	106	1	no	—
2089	C₂×C₄	—	106	1	no	—
2090	C₂×C₄	—	106	1	no	—
2091	C₂×C₄	—	106	1	no	—
2092	C₂×C₄	—	106	1	no	—
2093	C₂×C₄	—	106	1	no	—
2094	C₂×C₄	—	106	1	no	—
2095	C₂×C₄	—	424	2	no	—
2096	C₂×C₄	—	424	2	no	—
2097	C₂×C₄	—	424	2	no	—
2098	C₂×C₄	—	424	2	no	—
2099	C₂×C₄	—	424	2	no	—
2100	C₂×C₄	—	424	2	no	—
2101	C₂×C₄	—	212	1	no	—
2102	C₂×C₄	—	212	1	no	—
2103	C₂×C₄	—	212	1	no	—
2104	C₂×C₄	—	212	1	no	—
2105	C₂×C₄	—	212	1	no	—
2106	C₂×C₄	—	212	1	no	—
2107	C₂×C₄	—	212	1	no	—
2108	C₂×C₄	—	212	1	no	—
2109	C₂×C₄	—	212	1	no	—
2110	C₂×C₄	—	212	1	no	—
2111	C₂×C₄	—	212	1	no	—
2112	C₂×C₄	—	212	1	no	—
2113	C₂×C₄	—	212	4	no	—
2114	C₂×C₄	—	212	4	no	—
2115	C₂×C₄	—	212	4	no	—
2116	C₂×C₄	—	212	4	no	—
2117	C₂×C₄	—	212	4	no	—
2118	C₂×C₄	—	212	4	no	—
2119	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2120	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2121	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2122	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2123	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2124	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2125	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2126	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2127	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2128	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2129	C₂²	—	2	1	no	—
2130	C₂²	—	2	1	no	—
2131	C₂²	—	2	1	no	—
2132	C₂²	—	2	1	no	—
2133	C₂²	—	2	1	no	—
2134	C₂²	—	2	1	no	—
2135	C₂²	—	2	1	no	—
2136	C₂²	—	2	1	no	—
2137	C₂²	—	2	1	no	—
2138	C₂²	—	2	1	no	—
2139	C₂²	—	2	1	no	—
2140	C₂²	—	2	1	no	—
2141	C₂²	—	2	1	no	—
2142	C₂²	—	2	1	no	—
2143	C₂²	—	4	4	no	—
2144	C₂²	—	53	1	no	—
2145	C₂²	—	53	1	no	—
2146	C₂²	—	53	1	no	—
2147	C₂²	—	53	1	no	—
2148	C₂²	—	53	1	no	—
2149	C₂²	—	53	1	no	—
2150	C₂²	—	53	2	no	—
2151	C₂²	—	106	2	no	—
2152	C₂²	—	106	2	no	—
2153	C₂²	—	106	2	no	—
2154	C₂²	—	106	2	no	—
2155	C₂²	—	106	1	no	—
2156	C₂²	—	106	1	no	—
2157	C₂²	—	106	1	no	—
2158	C₂²	—	106	1	no	—
2159	C₂²	—	106	1	no	—
2160	C₂²	—	106	1	no	—
2161	C₂²	—	106	1	no	—
2162	C₂²	—	106	1	no	—
2163	C₂²	—	106	1	no	—
2164	C₂²	—	106	1	no	—
2165	C₂²	—	106	1	no	—
2166	C₂²	—	106	1	no	—
2167	C₂²	—	106	1	no	—
2168	C₂²	—	106	1	no	—
2169	C₂²	—	212	4	no	—
2170	C₂²	—	212	1	no	—
2171	C₂²	—	212	1	no	—
2172	C₂²	—	212	1	no	—
2173	C₂²	—	212	1	no	—
2174	C₂²	—	212	1	no	—
2175	C₂²	—	212	1	no	—
2176	C₂²	—	212	1	no	—
2177	C₂²	—	212	1	no	—
2178	C₂²	—	212	1	no	—
2179	C₂²	—	212	1	no	—
2180	C₂²	—	212	1	no	—
2181	C₂²	—	212	1	no	—
2182	C₂²	—	212	1	no	—
2183	C₂²	—	212	1	no	—
2184	C₂²	—	212	1	no	—
2185	C₂²	—	212	1	no	—
2186	C₂²	—	212	4	no	—
2187	C₂²	—	212	4	no	—
2188	C₂²	#16811692	1	2	yes	—
2189	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2190	C₄	—	2	1	no	—
2191	C₄	—	2	1	no	—
2192	C₄	—	2	1	no	—
2193	C₄	—	2	1	no	—
2194	C₄	—	2	1	no	—
2195	C₄	—	2	1	no	—
2196	C₄	—	2	1	no	—
2197	C₄	—	2	1	no	—
2198	C₄	—	2	1	no	—
2199	C₄	—	2	1	no	—
2200	C₄	—	106	2	no	—
2201	C₄	—	106	2	no	—
2202	C₄	—	106	1	no	—
2203	C₄	—	106	1	no	—
2204	C₄	—	106	1	no	—
2205	C₄	—	106	1	no	—
2206	C₄	—	106	1	no	—
2207	C₄	—	106	1	no	—
2208	C₄	—	106	1	no	—
2209	C₄	—	106	1	no	—
2210	C₄	—	106	1	no	—
2211	C₄	—	106	1	no	—
2212	C₄	—	212	1	no	—
2213	C₄	—	212	1	no	—
2214	C₄	—	212	1	no	—
2215	C₄	—	212	1	no	—
2216	C₄	—	212	1	no	—
2217	C₄	—	212	1	no	—
2218	C₄	—	212	1	no	—
2219	C₄	—	212	1	no	—
2220	C₄	—	212	1	no	—
2221	C₄	—	212	1	no	—
2222	C₄	—	212	1	no	—
2223	C₄	—	212	1	no	—
2224	C₄	—	212	1	no	—
2225	C₄	—	212	1	no	—
2226	C₂	—	2	2	no	—
2227	C₂	—	4	1	no	—
2228	C₂	—	4	1	no	—
2229	C₂	—	4	1	no	—
2230	C₂	—	4	1	no	—
2231	C₂	—	53	1	no	—
2232	C₂	—	53	1	no	—
2233	C₂	—	53	1	no	—
2234	C₂	—	53	1	no	—
2235	C₂	—	106	2	no	—
2236	C₂	—	212	1	no	—
2237	C₂	—	212	1	no	—
2238	C₂	—	212	1	no	—
2239	C₂	—	212	1	no	—
2240	C₂	C₂×#16811692	1	1	yes	characteristic
2241	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic
2242	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#538	C₄
prime radical	#538×D₅₃	C₂
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#538	#6157
hypocenter	C₅₃	#34416
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
1. #20291262	C₂	semidirect
2. #20291258	C₂	semidirect
3. #20291256	C₂	semidirect
4. #20291255	C₂	semidirect
5. #20291252	C₂	semidirect
6. #20291247	C₂	semidirect
7. #20291246	C₂	semidirect
8. #20291243	C₂	semidirect
9. #20291240	C₂	semidirect
10. #20291240	C₂	semidirect
11. #20291239	C₂	semidirect
12. #20291238	C₂	semidirect
13. #20291232	C₂	semidirect
14. #20291231	C₂	semidirect
15. #20291228	C₂	semidirect
16. D₄×C₄⋊#6157	C₂	semidirect
17. #20291216	C₂	semidirect
18. #20291214	C₂	semidirect
19. #20291213	C₂	semidirect
20. #20291213	C₂	semidirect
21. #20291205	C₂	semidirect
22. #20291204	C₂	semidirect
23. #20291203	C₂	semidirect
24. #20291201	C₂	semidirect
25. #20291200	C₂	semidirect
26. #20291200	C₂	semidirect
27. #20291191	C₂	semidirect
28. #120×#6157	C₂	semidirect
29. #120×#6157	C₂	semidirect
30. C₂×#16811570	C₂	semidirect
33. C₂×Q₈×#6157	C₂²	semidirect
42. C₂×D₄×#6157	C₂²	semidirect
43. C₂×#13133296	C₂²	semidirect
46. C₂²×C₄⋊#6157	C₂²	semidirect
48. (C₂×#6157)⋊Q₈	C₂²	semidirect
49. (C₂×#6157)⋊Q₈	C₂²	semidirect
50. (C₂×#6157)⋊Q₈	C₂²	semidirect
55. #16811575	C₂²	semidirect
56. #16811574	C₂²	semidirect
57. #16811574	C₂²	semidirect
58. #16811574	C₂²	semidirect
59. #16811574	C₂²	semidirect
60. #16811574	C₂²	semidirect
61. #16811574	C₂²	semidirect
62. #16811574	C₂²	semidirect
63. #16811574	C₂²	semidirect
80. #16811573	C₂²	semidirect
81. #16811573	C₂²	semidirect
82. #16811573	C₂²	semidirect
83. #16811573	C₂²	semidirect
84. #16811573	C₂²	semidirect
85. #16811573	C₂²	semidirect
86. #16811573	C₂²	semidirect
87. #16811573	C₂²	semidirect
88. #16811572	C₂²	semidirect
89. #16811572	C₂²	semidirect
90. #16811572	C₂²	semidirect
91. #16811572	C₂²	semidirect
92. #16811572	C₂²	semidirect
93. #16811572	C₂²	semidirect
94. #16811572	C₂²	semidirect
95. #16811572	C₂²	semidirect
96. #16811572	C₂²	semidirect
97. #16811572	C₂²	semidirect
98. #16811572	C₂²	semidirect
99. #16811572	C₂²	semidirect
112. #16811571	C₂²	semidirect
113. #16811571	C₂²	semidirect
130. #16811570	C₂²	semidirect
131. #16811570	C₂²	semidirect
132. #16811570	C₂²	semidirect
133. #16811570	C₂²	semidirect
134. #16811570	C₂²	semidirect
135. #16811570	C₂²	semidirect
136. #16811569	C₂²	semidirect
137. #16811568	C₂²	semidirect
138. #16811567	C₂²	semidirect
139. #16811567	C₂²	semidirect
140. #16811566	C₂²	semidirect
143. #16811565	C₂²	semidirect
144. #16811565	C₂²	semidirect
145. #16811565	C₂²	semidirect
148. C₄⋊C₄×#6157	C₂²	semidirect
149. C₄⋊C₄×#6157	C₂²	semidirect
150. C₄⋊C₄×#6157	C₂²	semidirect
151. C₄⋊C₄×#6157	C₂²	semidirect
152. C₄×C₄⋊#6157	C₂²	semidirect
153. C₄×C₄⋊#6157	C₂²	semidirect
154. C₄×C₄⋊#6157	C₂²	semidirect
163. C₂²⋊C₄×#6157	C₂²	semidirect
164. C₂²⋊C₄×#6157	C₂²	semidirect
167. C₄×C₂²⋊#6157	C₂²	semidirect
168. #16811559	C₂²	semidirect
171. C₂×(C₂×#6157)⋊C₄	C₂²	semidirect
172. #16811213	C₄	semidirect
173. #16811212	C₄	semidirect
174. #16811212	C₄	semidirect
175. #16811211	C₄	semidirect
176. #16811210	C₄	semidirect
177. #16811209	C₄	semidirect
178. #16811209	C₄	semidirect
179. #16811208	C₄	semidirect
180. #16811208	C₄	semidirect
181. #16811207	C₄	semidirect
182. #16811207	C₄	semidirect
183. #16811206	C₄	semidirect
184. #16811206	C₄	semidirect
185. #16811205	C₄	semidirect
186. #16811205	C₄	semidirect
202. C₅₃×#538	C₄	semidirect
354. #13133212	C₂×C₄	semidirect
355. #13133212	C₂×C₄	semidirect
356. #13133212	C₂×C₄	semidirect
357. #13133212	C₂×C₄	semidirect
358. #13133212	C₂×C₄	semidirect
359. #13133212	C₂×C₄	semidirect
360. #13133211	C₂×C₄	semidirect
361. #13133211	C₂×C₄	semidirect
362. #13133210	C₂×C₄	semidirect
363. #13133210	C₂×C₄	semidirect
364. #13133210	C₂×C₄	semidirect
365. #13133210	C₂×C₄	semidirect
366. #13133210	C₂×C₄	semidirect
367. #13133210	C₂×C₄	semidirect
368. #13133206	C₂×C₄	semidirect
369. #13133206	C₂×C₄	semidirect
370. #13133205	C₂×C₄	semidirect
371. #13133205	C₂×C₄	semidirect
372. #13133204	C₂×C₄	semidirect
373. #13133204	C₂×C₄	semidirect
374. #13133203	C₂×C₄	semidirect
375. #13133203	C₂×C₄	semidirect
376. #13133203	C₂×C₄	semidirect
377. #13133203	C₂×C₄	semidirect
378. #13133203	C₂×C₄	semidirect
379. #13133203	C₂×C₄	semidirect
380. #13133203	C₂×C₄	semidirect
381. #13133203	C₂×C₄	semidirect
382. #13133202	C₂×C₄	semidirect
383. #13133202	C₂×C₄	semidirect
384. #13133202	C₂×C₄	semidirect
385. #13133202	C₂×C₄	semidirect
386. #13133201	C₂×C₄	semidirect
387. #13133201	C₂×C₄	semidirect
388. #13133200	C₂×C₄	semidirect
389. #13133200	C₂×C₄	semidirect
390. #13133199	C₂×C₄	semidirect
391. #13133199	C₂×C₄	semidirect
392. #13133199	C₂×C₄	semidirect
393. #13133199	C₂×C₄	semidirect
394. #13133198	C₂×C₄	semidirect
395. #13133198	C₂×C₄	semidirect
396. #13133197	C₂×C₄	semidirect
397. #13133196	C₂×C₄	semidirect
398. #13133195	C₂×C₄	semidirect
399. #13133195	C₂×C₄	semidirect
400. #13133194	C₂×C₄	semidirect
401. #13133194	C₂×C₄	semidirect
402. #13133193	C₂×C₄	semidirect
403. #13133192	C₂×C₄	semidirect
404. #13133192	C₂×C₄	semidirect
405. #13133192	C₂×C₄	semidirect
406. #13133191	C₂×C₄	semidirect
407. #13133191	C₂×C₄	semidirect
408. #13133191	C₂×C₄	semidirect
409. #13133190	C₂×C₄	semidirect
410. #13133190	C₂×C₄	semidirect
411. #13133190	C₂×C₄	semidirect
412. #13133190	C₂×C₄	semidirect
413. #13133190	C₂×C₄	semidirect
414. #13133190	C₂×C₄	semidirect
415. #13133189	C₂×C₄	semidirect
416. #13133189	C₂×C₄	semidirect
417. #13133189	C₂×C₄	semidirect
418. #13133189	C₂×C₄	semidirect
419. #13133189	C₂×C₄	semidirect
420. #13133189	C₂×C₄	semidirect
421. #13133188	C₂×C₄	semidirect
422. #13133188	C₂×C₄	semidirect
423. #13133188	C₂×C₄	semidirect
424. #13133187	C₂×C₄	semidirect
425. #13133187	C₂×C₄	semidirect
426. #13133187	C₂×C₄	semidirect
427. #13133187	C₂×C₄	semidirect
428. #13133187	C₂×C₄	semidirect
429. #13133187	C₂×C₄	semidirect
430. #13133186	C₂×C₄	semidirect
431. #13133186	C₂×C₄	semidirect
432. #13133185	C₂×C₄	semidirect
433. #13133185	C₂×C₄	semidirect
434. #13133185	C₂×C₄	semidirect
435. #13133185	C₂×C₄	semidirect
436. #13133185	C₂×C₄	semidirect
437. #13133185	C₂×C₄	semidirect
438. C₄×D₂₁₂	C₂×C₄	semidirect
439. C₄×D₂₁₂	C₂×C₄	semidirect
440. D₄×Dic₅₃	C₂×C₄	semidirect
441. D₄×Dic₅₃	C₂×C₄	semidirect
442. #13133179	C₂×C₄	semidirect
443. #13133179	C₂×C₄	semidirect
444. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
445. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
446. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
447. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
448. #13133177	C₂×C₄	semidirect
449. #13133177	C₂×C₄	semidirect
450. #13133177	C₂×C₄	semidirect
451. #13133177	C₂×C₄	semidirect
458. C₂×C₂²⋊Dic₅₃	C₂×C₄	semidirect
459. C₂×#11719921	C₂×C₄	semidirect
460. C₂×#11719921	C₂×C₄	semidirect
461. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
462. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
463. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
464. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
481. #126×C₅₃	C₂×C₄	semidirect
482. #126×C₅₃	C₂×C₄	semidirect
483. #124×C₅₃	C₂×C₄	semidirect
484. #124×C₅₃	C₂×C₄	semidirect
485. #123×C₅₃	C₂×C₄	semidirect
486. #123×C₅₃	C₂×C₄	semidirect
487. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
488. #121×C₅₃	C₂×C₄	semidirect
489. #121×C₅₃	C₂×C₄	semidirect
490. #121×C₅₃	C₂×C₄	semidirect
491. #120×C₅₃	C₂×C₄	semidirect
492. #120×C₅₃	C₂×C₄	semidirect
493. C₄×D₄×C₅₃	C₂×C₄	semidirect
494. C₄×D₄×C₅₃	C₂×C₄	semidirect
495. C₂×C₂²⋊C₄×C₅₃	C₂×C₄	semidirect
564. C₂×Q₈×C₅₃	C₂²×C₄	semidirect
571. C₂×D₄×C₅₃	C₂²×C₄	semidirect
574. C₂²×C₄×C₅₃	C₂²×C₄	semidirect
575. C₂²×C₄×C₅₃	C₂²×C₄	semidirect
588. C₂×C₂²⋊D₅₃	C₂²×C₄	semidirect
589. C₂×C₂²⋊D₅₃	C₂²×C₄	semidirect
592. C₂²×Dic₅₃	C₂²×C₄	semidirect
593. C₂²×Dic₅₃	C₂²×C₄	semidirect
616. C₂×D₂₁₂	C₂²×C₄	semidirect
629. C₂×C₄×D₅₃	C₂²×C₄	semidirect
630. C₂×C₄×D₅₃	C₂²×C₄	semidirect
631. C₂×C₄×D₅₃	C₂²×C₄	semidirect
632. C₂×C₄×D₅₃	C₂²×C₄	semidirect
643. C₂×Dic₁₀₆	C₂²×C₄	semidirect
644. C₂×Dic₁₀₆	C₂²×C₄	semidirect
645. C₂×Dic₁₀₆	C₂²×C₄	semidirect
714. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
715. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
716. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
717. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
718. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
719. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
730. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
731. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
732. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
733. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
734. C₄²×C₅₃	C₂²×C₄	semidirect
735. C₄²×C₅₃	C₂²×C₄	semidirect
746. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
747. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
748. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
749. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
770. #11719921	C₂²×C₄	semidirect
771. #11719921	C₂²×C₄	semidirect
772. #11719921	C₂²×C₄	semidirect
773. #11719921	C₂²×C₄	semidirect
774. #11719921	C₂²×C₄	semidirect
775. #11719921	C₂²×C₄	semidirect
776. #11719921	C₂²×C₄	semidirect
777. #11719921	C₂²×C₄	semidirect
778. C₄⋊Dic₅₃	C₂²×C₄	semidirect
779. C₄⋊Dic₅₃	C₂²×C₄	semidirect
780. C₄⋊Dic₅₃	C₂²×C₄	semidirect
781. C₄⋊Dic₅₃	C₂²×C₄	semidirect
782. C₄⋊Dic₅₃	C₂²×C₄	semidirect
783. C₄⋊Dic₅₃	C₂²×C₄	semidirect
784. #11719919	C₂²×C₄	semidirect
785. #11719919	C₂²×C₄	semidirect
786. #11719919	C₂²×C₄	semidirect
787. #11719919	C₂²×C₄	semidirect
788. #11719919	C₂²×C₄	semidirect
789. #11719919	C₂²×C₄	semidirect
790. #11719919	C₂²×C₄	semidirect
791. #11719919	C₂²×C₄	semidirect
792. #11719919	C₂²×C₄	semidirect
793. #11719919	C₂²×C₄	semidirect
794. #11719919	C₂²×C₄	semidirect
795. #11719919	C₂²×C₄	semidirect
796. C₄×Dic₅₃	C₂²×C₄	semidirect
797. C₄×Dic₅₃	C₂²×C₄	semidirect
798. C₄×Dic₅₃	C₂²×C₄	semidirect
799. C₄×Dic₅₃	C₂²×C₄	semidirect
800. C₄×Dic₅₃	C₂²×C₄	semidirect
801. C₄×Dic₅₃	C₂²×C₄	semidirect
1169. #538	#6157	semidirect
1324. C₅₃	#34416	semidirect
1367. #126	C₂×#6157	semidirect
1368. #126	C₂×#6157	semidirect
1383. #124	C₂×#6157	semidirect
1384. #124	C₂×#6157	semidirect
1399. #123	C₂×#6157	semidirect
1400. #123	C₂×#6157	semidirect
1408. C₂²⋊Q₈	C₂×#6157	semidirect
1430. #121	C₂×#6157	semidirect
1431. #121	C₂×#6157	semidirect
1432. #121	C₂×#6157	semidirect
1447. #120	C₂×#6157	semidirect
1448. #120	C₂×#6157	semidirect
1473. C₄×D₄	C₂×#6157	semidirect
1474. C₄×D₄	C₂×#6157	semidirect
1559. C₂×C₂²⋊C₄	C₂×#6157	semidirect
1638. C₂×Q₈	C₂²×#6157	semidirect
1680. C₂×D₄	C₂²×#6157	semidirect
1766. C₂²×C₄	C₂²×#6157	semidirect
1767. C₂²×C₄	C₂²×#6157	semidirect
1810. C₄⋊C₄	C₂²×#6157	semidirect
1811. C₄⋊C₄	C₂²×#6157	semidirect
1812. C₄⋊C₄	C₂²×#6157	semidirect
1813. C₄⋊C₄	C₂²×#6157	semidirect
1814. C₄⋊C₄	C₂²×#6157	semidirect
1815. C₄⋊C₄	C₂²×#6157	semidirect
1896. C₂²⋊C₄	C₂²×#6157	semidirect
1897. C₂²⋊C₄	C₂²×#6157	semidirect
1898. C₂²⋊C₄	C₂²×#6157	semidirect
1899. C₂²⋊C₄	C₂²×#6157	semidirect
1922. C₄²	C₂²×#6157	semidirect
1923. C₄²	C₂²×#6157	semidirect

Maximal subgroups

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

subgroup	index
#20291262	2
#20291258	2
#20291256	2
#20291255	2
#20291252	2
#20291247	2
#20291246	2
#20291243	2
#20291240	2
#20291239	2
#20291238	2
#20291232	2
#20291231	2
#20291228	2
D₄×C₄⋊#6157	2
#20291216	2
#20291214	2
#20291213	2
#20291205	2
#20291204	2
#20291203	2
#20291201	2
#20291200	2
#20291191	2
#120×#6157	2
C₂×#16811570	2
#538×D₅₃	2
#34416	53