Subgroups — #32862615

Order 18176.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22601723	C₂	1	1	yes	maximal, characteristic
2	#22597510	C₂	1	1	yes	maximal, characteristic, complemented
3	#22597506	C₂	1	1	yes	maximal, characteristic, complemented
4	#22597505	C₂	1	1	yes	maximal, characteristic, complemented
5	#22597504	C₂	1	1	yes	maximal, characteristic, complemented
6	#22597498	C₂	1	1	yes	maximal, characteristic, complemented
7	#22597497	C₂	1	1	yes	maximal, characteristic, complemented
8	#22597495	C₂	1	1	yes	maximal, characteristic, complemented
9	#22597491	C₂	1	1	yes	maximal, characteristic, complemented
10	#22597488	C₂	1	1	yes	maximal, characteristic, complemented
11	#22597487	C₂	1	1	yes	maximal, characteristic, complemented
12	#22597482	C₂	1	1	yes	maximal, characteristic, complemented
13	#22597478	C₂	1	1	yes	maximal, characteristic, complemented
14	#22597476	C₂	1	1	yes	maximal, characteristic, complemented
15	#22597474	C₂	1	1	yes	maximal, characteristic, complemented
16	#22597473	C₂	1	1	yes	maximal, characteristic, complemented
17	#22597285	C₂	1	1	yes	maximal, characteristic, complemented
18	#22597282	C₂	1	1	yes	maximal, characteristic, complemented
19	#22597081	C₂	1	1	yes	maximal, characteristic, complemented
20	#22597079	C₂	1	1	yes	maximal, characteristic, complemented
21	#22597040	C₂	1	1	yes	maximal, characteristic, complemented
22	#22597038	C₂	1	1	yes	maximal, characteristic, complemented
23	#22597029	C₂	1	1	yes	maximal, characteristic, complemented
24	#22597029	C₂	1	1	yes	maximal, characteristic, complemented
25	#22597003	C₂	1	1	yes	maximal, characteristic, complemented
26	#22597001	C₂	1	1	yes	maximal, characteristic, complemented
27	#22596974	C₂	1	1	yes	maximal, characteristic, complemented
28	#22596907	C₂	1	1	yes	maximal, characteristic, complemented
29	#22596905	C₂	1	1	yes	maximal, characteristic, complemented
30	#424×D₇₁	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₁×#2994	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556136	C₂²	1	1	yes	characteristic
33	C₂×#14556134	C₂²	1	1	yes	characteristic
34	C₂×#14556134	C₂²	1	1	yes	characteristic
35	C₂×#14556134	C₂²	1	1	yes	characteristic
36	C₂×M₁₆×D₇₁	C₂²	1	1	yes	characteristic
37	C₂²×C₈×D₇₁	C₂²	1	1	yes	characteristic
38	#17986619	C₄	1	1	yes	characteristic
39	#17986617	C₄	1	1	yes	characteristic
40	#17986615	C₄	1	1	yes	characteristic
41	#17986613	C₄	1	1	yes	characteristic
42	#17986608	C₄	1	1	yes	characteristic
43	#17986606	C₄	1	1	yes	characteristic
44	#17986601	C₄	1	1	yes	characteristic
45	#17986599	C₄	1	1	yes	characteristic
46	#17986597	C₄	1	1	yes	characteristic
47	#17986595	C₄	1	1	yes	characteristic
48	#17986592	C₄	1	1	yes	characteristic
49	#17986590	C₄	1	1	yes	characteristic
50	#17986588	C₄	1	1	yes	characteristic
51	#17986585	C₄	1	1	yes	characteristic
52	#17986583	C₄	1	1	yes	characteristic
53	#17986581	C₄	1	1	yes	characteristic
54	#17986553	C₂²	1	1	yes	characteristic
55	#17986546	C₂²	1	1	yes	characteristic
56	#17986536	C₂²	1	1	yes	characteristic
57	#17986533	C₂²	1	1	yes	characteristic
58	#17986531	C₂²	1	1	yes	characteristic
59	#17986529	C₂²	1	1	yes	characteristic
60	#17986529	C₂²	1	1	yes	characteristic
61	#17986527	C₂²	1	1	yes	characteristic
62	#17986527	C₂²	1	1	yes	characteristic
63	#17986508	C₂²	1	1	yes	characteristic
64	#17986508	C₂²	1	1	yes	characteristic
65	C₄×#11765865	C₂²	1	1	yes	characteristic
66	#17986467	C₂²	1	1	yes	characteristic
67	#117×D₇₁	C₂²	1	1	yes	characteristic
68	#17986130	C₂²	1	1	yes	characteristic, complemented
69	#17986130	C₂²	1	1	yes	characteristic, complemented
70	#17986129	C₂²	1	1	yes	characteristic, complemented
71	#17986129	C₂²	1	1	yes	characteristic, complemented
72	#17986129	C₂²	1	1	yes	characteristic, complemented
73	#17986128	C₂²	1	1	yes	characteristic, complemented
74	#17986128	C₂²	1	1	yes	characteristic, complemented
75	#17986128	C₂²	1	1	yes	characteristic, complemented
76	#17986128	C₂²	1	1	yes	characteristic, complemented
77	#17986127	C₂²	1	1	yes	characteristic, complemented
78	#17986127	C₂²	1	1	yes	characteristic, complemented
79	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic, complemented
80	#17986123	C₂²	1	1	yes	characteristic, complemented
81	#17986123	C₂²	1	1	yes	characteristic, complemented
82	#17986078	C₂²	1	1	yes	characteristic
83	#17986078	C₂²	1	1	yes	characteristic, complemented
84	#17986077	C₂²	1	1	yes	characteristic
85	#17986077	C₂²	1	1	yes	characteristic, complemented
86	#17986076	C₂²	1	1	yes	characteristic
87	#17986075	C₂²	1	1	yes	characteristic
88	#17986075	C₂²	1	1	yes	characteristic
89	#17986075	C₂²	1	1	yes	characteristic, complemented
90	#17986074	C₂²	1	1	yes	characteristic
91	#17986074	C₂²	1	1	yes	characteristic
92	#17986074	C₂²	1	1	yes	characteristic, complemented
93	#17986073	C₂²	1	1	yes	characteristic
94	#17986073	C₂²	1	1	yes	characteristic
95	#17986073	C₂²	1	1	yes	characteristic
96	#17986073	C₂²	1	1	yes	characteristic, complemented
97	#17986073	C₂²	1	1	yes	characteristic, complemented
98	#17986072	C₂²	1	1	yes	characteristic
99	#17986072	C₂²	1	1	yes	characteristic, complemented
100	#17986071	C₂²	1	1	yes	characteristic
101	#17986071	C₂²	1	1	yes	characteristic
102	#17986071	C₂²	1	1	yes	characteristic
103	#17986071	C₂²	1	1	yes	characteristic, complemented
104	#17986070	C₂²	1	1	yes	characteristic
105	#17986070	C₂²	1	1	yes	characteristic, complemented
106	#17986070	C₂²	1	1	yes	characteristic, complemented
107	#17986069	C₂²	1	1	yes	characteristic
108	#17986069	C₂²	1	1	yes	characteristic
109	#17986069	C₂²	1	1	yes	characteristic
110	#17986069	C₂²	1	1	yes	characteristic, complemented
111	#17986068	C₂²	1	1	yes	characteristic
112	#17986067	C₂²	1	1	yes	characteristic
113	#17986067	C₂²	1	1	yes	characteristic
114	#17986067	C₂²	1	1	yes	characteristic
115	C₈×D₂₈₄	C₂²	1	1	yes	characteristic
116	C₈×D₂₈₄	C₂²	1	1	yes	characteristic
117	#17986064	C₂²	1	1	yes	characteristic, complemented
118	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
119	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
120	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
121	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
122	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
123	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
124	#17986061	C₂²	1	1	yes	characteristic
125	#17986060	C₂²	1	1	yes	characteristic
126	#17986060	C₂²	1	1	yes	characteristic, complemented
127	#17986059	C₂²	1	1	yes	characteristic
128	#17986059	C₂²	1	1	yes	characteristic
129	#17986059	C₂²	1	1	yes	characteristic, complemented
130	#17986059	C₂²	1	1	yes	characteristic, complemented
131	#17986058	C₂²	1	1	yes	characteristic
132	#17986058	C₂²	1	1	yes	characteristic, complemented
133	#17986058	C₂²	1	1	yes	characteristic, complemented
134	#17986057	C₂²	1	1	yes	characteristic
135	#17986057	C₂²	1	1	yes	characteristic
136	#17986057	C₂²	1	1	yes	characteristic, complemented
137	#17986057	C₂²	1	1	yes	characteristic, complemented
138	#17986056	C₂²	1	1	yes	characteristic, complemented
139	#17986055	C₂²	1	1	yes	characteristic, complemented
140	#17986054	C₂²	1	1	yes	characteristic, complemented
141	#17986053	C₂²	1	1	yes	characteristic, complemented
142	#17986051	C₂²	1	1	yes	characteristic, complemented
143	#17986050	C₂²	1	1	yes	characteristic, complemented
144	#17986049	C₂²	1	1	yes	characteristic, complemented
145	#17986027	C₂²	1	1	yes	characteristic
146	#17986026	C₂²	1	1	yes	characteristic
147	#17986026	C₂²	1	1	yes	characteristic, complemented
148	#17986025	C₂²	1	1	yes	characteristic
149	#17986025	C₂²	1	1	yes	characteristic, complemented
150	#17986025	C₂²	1	1	yes	characteristic, complemented
151	#17986024	C₂²	1	1	yes	characteristic
152	#17986024	C₂²	1	1	yes	characteristic
153	#17986024	C₂²	1	1	yes	characteristic
154	#17986024	C₂²	1	1	yes	characteristic
155	#17986024	C₂²	1	1	yes	characteristic
156	#17986024	C₂²	1	1	yes	characteristic
157	#17986024	C₂²	1	1	yes	characteristic
158	#17986024	C₂²	1	1	yes	characteristic
159	#17986024	C₂²	1	1	yes	characteristic, complemented
160	#17986024	C₂²	1	1	yes	characteristic, complemented
161	#17986024	C₂²	1	1	yes	characteristic, complemented
162	#17986024	C₂²	1	1	yes	characteristic, complemented
163	#17986023	C₂²	1	1	yes	characteristic, complemented
164	#17986022	C₂²	1	1	yes	characteristic, complemented
165	#17986021	C₂²	1	1	yes	characteristic
166	#17986021	C₂²	1	1	yes	characteristic
167	#17986021	C₂²	1	1	yes	characteristic, complemented
168	#17986021	C₂²	1	1	yes	characteristic, complemented
169	C₂×Dic₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
170	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
171	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
172	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
173	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
174	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
175	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
176	#17985964	C₂²	1	1	yes	characteristic
177	#17985964	C₂²	1	1	yes	characteristic
178	#17985964	C₂²	1	1	yes	characteristic
179	#17985964	C₂²	1	1	yes	characteristic
180	#17985961	C₂²	1	1	yes	characteristic
181	#17985961	C₂²	1	1	yes	characteristic
182	#17985956	C₂²	1	1	yes	characteristic
183	#17985953	C₂²	1	1	yes	characteristic
184	#17985953	C₂²	1	1	yes	characteristic
185	#17985953	C₂²	1	1	yes	characteristic
186	#17985951	C₂²	1	1	yes	characteristic
187	C₄×#11765848	C₂²	1	1	yes	characteristic
188	#529×C₇₁	C₂²	1	1	yes	characteristic
189	#446×C₇₁	C₂²	1	1	yes	characteristic, complemented
190	C₈×Q₈×C₇₁	C₂²	1	1	yes	characteristic, complemented
191	#436×C₇₁	C₂²	1	1	yes	characteristic
192	#435×C₇₁	C₂²	1	1	yes	characteristic
193	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
194	C₈×D₄×C₇₁	C₂²	1	1	yes	characteristic
195	C₈×D₄×C₇₁	C₂²	1	1	yes	characteristic
196	C₈×D₄×C₇₁	C₂²	1	1	yes	characteristic, complemented
197	#433×C₇₁	C₂²	1	1	yes	characteristic
198	#433×C₇₁	C₂²	1	1	yes	characteristic, complemented
199	#431×C₇₁	C₂²	1	1	yes	characteristic, complemented
200	#424×C₇₁	C₂²	1	1	yes	characteristic
201	#424×C₇₁	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄⋊C₈×C₇₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11765865	C₂³	1	1	yes	characteristic
204	C₂×#11765865	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
206	#14556136	—	4	2	no	—
207	#14556134	—	4	2	no	—
208	#14556134	—	4	2	no	—
209	#14556134	—	4	2	no	—
210	C₂×#11765849	C₂³	1	1	yes	characteristic
211	C₂×#11765849	C₂³	1	1	yes	characteristic
212	C₂×#11765849	C₂³	1	1	yes	characteristic
213	C₂×#11765849	C₂³	1	1	yes	characteristic
214	C₂×#11765848	C₂³	1	1	yes	characteristic
215	C₂×#11765848	C₂³	1	1	yes	characteristic
216	C₂×#11765848	C₂³	1	1	yes	characteristic
217	C₂×#11765848	C₂³	1	1	yes	characteristic
218	C₂×#11765848	C₂³	1	1	yes	characteristic
219	C₂×#11765848	C₂³	1	1	yes	characteristic
220	C₂×#11765848	C₂³	1	1	yes	characteristic
221	C₂×#11765848	C₂³	1	1	yes	characteristic
222	C₂×#11765848	C₂³	1	1	yes	characteristic
223	C₂×#11765848	C₂³	1	1	yes	characteristic
224	M₁₆×D₇₁	—	4	2	no	—
225	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
226	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
227	C₂×C₈×D₇₁	—	4	2	no	—
228	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
229	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
230	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
231	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
232	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
233	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
234	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
235	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
236	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
237	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
238	#14556127	C₂×C₄	1	1	yes	characteristic
239	#14556127	C₂×C₄	1	1	yes	characteristic
240	#14556126	C₂×C₄	1	1	yes	characteristic
241	#14556124	C₂×C₄	1	1	yes	characteristic
242	#14556123	C₂×C₄	1	1	yes	characteristic
243	#14556123	C₂×C₄	1	1	yes	characteristic
244	#14556123	C₂×C₄	1	1	yes	characteristic
245	#14556123	C₂×C₄	1	1	yes	characteristic
246	#14556123	C₂×C₄	1	1	yes	characteristic
247	#14556123	C₂×C₄	1	1	yes	characteristic
248	#14556122	C₂×C₄	1	1	yes	characteristic
249	#14556122	C₂×C₄	1	1	yes	characteristic
250	#14556121	C₂×C₄	1	1	yes	characteristic
251	#14556121	C₂×C₄	1	1	yes	characteristic
252	#14556121	C₂×C₄	1	1	yes	characteristic
253	#14556121	C₂×C₄	1	1	yes	characteristic
254	#14556121	C₂×C₄	1	1	yes	characteristic
255	#14556121	C₂×C₄	1	1	yes	characteristic
256	#14556120	C₂×C₄	1	1	yes	characteristic
257	#14556119	C₂×C₄	1	1	yes	characteristic
258	#14556119	C₂×C₄	1	1	yes	characteristic
259	#14556118	C₂×C₄	1	1	yes	characteristic
260	#14556118	C₂×C₄	1	1	yes	characteristic
261	#14556118	C₂×C₄	1	1	yes	characteristic
262	#14556118	C₂×C₄	1	1	yes	characteristic
263	#14556118	C₂×C₄	1	1	yes	characteristic
264	#14556118	C₂×C₄	1	1	yes	characteristic
265	#14556117	C₂×C₄	1	1	yes	characteristic
266	#14556116	C₂×C₄	1	1	yes	characteristic
267	#14556115	C₂×C₄	1	1	yes	characteristic
268	#14556114	C₂×C₄	1	1	yes	characteristic
269	#14556114	C₂×C₄	1	1	yes	characteristic
270	#14556114	C₂×C₄	1	1	yes	characteristic
271	#14556114	C₂×C₄	1	1	yes	characteristic
272	#14556114	C₂×C₄	1	1	yes	characteristic
273	#14556114	C₂×C₄	1	1	yes	characteristic
274	#14556113	C₂×C₄	1	1	yes	characteristic
275	#14556113	C₂×C₄	1	1	yes	characteristic
276	#14556113	C₂×C₄	1	1	yes	characteristic
277	#14556113	C₂×C₄	1	1	yes	characteristic
278	#14556113	C₂×C₄	1	1	yes	characteristic
279	#14556113	C₂×C₄	1	1	yes	characteristic
280	#14556112	C₂×C₄	1	1	yes	characteristic
281	#14556112	C₂×C₄	1	1	yes	characteristic
282	#14556111	C₂×C₄	1	1	yes	characteristic
283	#14556111	C₂×C₄	1	1	yes	characteristic
284	#14556110	C₂×C₄	1	1	yes	characteristic
285	#14556110	C₂×C₄	1	1	yes	characteristic
286	#14556110	C₂×C₄	1	1	yes	characteristic
287	#14556110	C₂×C₄	1	1	yes	characteristic
288	#14556110	C₂×C₄	1	1	yes	characteristic
289	#14556110	C₂×C₄	1	1	yes	characteristic
290	#14556109	C₂×C₄	1	1	yes	characteristic
291	#14556109	C₂×C₄	1	1	yes	characteristic
292	#14556108	C₂×C₄	1	1	yes	characteristic
293	#14556108	C₂×C₄	1	1	yes	characteristic
294	#14556107	C₂×C₄	1	1	yes	characteristic
295	#14556106	C₂×C₄	1	1	yes	characteristic
296	#14556106	C₂×C₄	1	1	yes	characteristic
297	#14556106	C₂×C₄	1	1	yes	characteristic
298	#14556106	C₂×C₄	1	1	yes	characteristic
299	#14556106	C₂×C₄	1	1	yes	characteristic
300	#14556106	C₂×C₄	1	1	yes	characteristic
301	#14556105	C₂×C₄	1	1	yes	characteristic
302	#14556105	C₂×C₄	1	1	yes	characteristic
303	#14556105	C₂×C₄	1	1	yes	characteristic
304	#14556105	C₂×C₄	1	1	yes	characteristic
305	#14556104	C₂×C₄	1	1	yes	characteristic
306	#14556104	C₂×C₄	1	1	yes	characteristic
307	#14556103	C₂×C₄	1	1	yes	characteristic
308	#14556103	C₂×C₄	1	1	yes	characteristic
309	#14556102	C₂×C₄	1	1	yes	characteristic
310	#14556101	C₂×C₄	1	1	yes	characteristic
311	#14556101	C₂×C₄	1	1	yes	characteristic
312	#14556101	C₂×C₄	1	1	yes	characteristic
313	#14556101	C₂×C₄	1	1	yes	characteristic
314	#14556101	C₂×C₄	1	1	yes	characteristic
315	#14556101	C₂×C₄	1	1	yes	characteristic
316	#14556100	C₂×C₄	1	1	yes	characteristic
317	#14556100	C₂×C₄	1	1	yes	characteristic
318	#14556100	C₂×C₄	1	1	yes	characteristic
319	#14556100	C₂×C₄	1	1	yes	characteristic
320	#14556099	C₂×C₄	1	1	yes	characteristic
321	#14556099	C₂×C₄	1	1	yes	characteristic
322	#14556098	C₂×C₄	1	1	yes	characteristic
323	#14556098	C₂×C₄	1	1	yes	characteristic
324	#14556096	C₂×C₄	1	1	yes	characteristic
325	#14556096	C₂×C₄	1	1	yes	characteristic
326	C₄×Dic₁₄₂	C₂×C₄	1	1	yes	characteristic
327	C₄×Dic₁₄₂	C₂×C₄	1	1	yes	characteristic
328	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
329	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
330	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
331	#14556093	C₂×C₄	1	1	yes	characteristic
332	#14556093	C₂×C₄	1	1	yes	characteristic
333	C₄×D₂₈₄	C₂×C₄	1	1	yes	characteristic
334	C₄×D₂₈₄	C₂×C₄	1	1	yes	characteristic
335	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
336	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
337	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
338	#14556090	C₂×C₄	1	1	yes	characteristic
339	#14556090	C₂×C₄	1	1	yes	characteristic
340	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
341	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
342	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
343	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
344	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
345	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
346	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
347	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
348	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
349	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
350	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
351	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
352	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
353	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
354	#14556087	C₂³	1	1	yes	characteristic
355	#14556087	C₂³	1	1	yes	characteristic
356	#14556086	C₂×C₄	1	1	yes	characteristic
357	#14556086	C₂×C₄	1	1	yes	characteristic
358	#14556085	C₂³	1	1	yes	characteristic
359	#14556085	C₂³	1	1	yes	characteristic
360	#14556085	C₂³	1	1	yes	characteristic
361	#14556085	C₂³	1	1	yes	characteristic
362	#14556085	C₂³	1	1	yes	characteristic
363	#14556085	C₂³	1	1	yes	characteristic
364	#14556084	C₂×C₄	1	1	yes	characteristic
365	#14556084	C₂×C₄	1	1	yes	characteristic
366	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
367	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
368	C₂²⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
369	C₂²⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
370	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
371	C₄²×D₇₁	C₂³	1	1	yes	characteristic
372	C₄²×D₇₁	C₂³	1	1	yes	characteristic
373	C₄²×D₇₁	C₂³	1	1	yes	characteristic
374	C₄²×D₇₁	C₂³	1	1	yes	characteristic
375	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
376	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
377	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
378	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
379	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
380	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
381	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
382	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
383	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
384	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
385	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
386	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
387	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
388	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
389	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
390	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
391	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
392	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
393	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
394	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
395	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
396	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
397	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
398	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
399	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
400	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
401	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
402	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
403	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
404	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
405	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
406	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
407	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
408	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
409	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
410	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
411	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
412	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
413	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
414	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
415	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
416	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
417	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
418	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
419	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
420	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
421	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
422	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
423	#14556039	C₂³	1	1	yes	characteristic
424	#14556039	C₂³	1	1	yes	characteristic
425	#14556039	C₂³	1	1	yes	characteristic
426	#14556039	C₂³	1	1	yes	characteristic
427	#14556038	C₂³	1	1	yes	characteristic
428	#14556038	C₂³	1	1	yes	characteristic
429	#14556038	C₂³	1	1	yes	characteristic
430	#14556038	C₂³	1	1	yes	characteristic
431	#14556038	C₂³	1	1	yes	characteristic
432	#14556038	C₂³	1	1	yes	characteristic
433	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
434	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
435	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
436	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
437	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
438	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
439	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
440	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
441	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
442	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
443	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
444	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
445	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
446	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
447	#126×C₇₁	C₂×C₄	1	1	yes	characteristic
448	#126×C₇₁	C₂×C₄	1	1	yes	characteristic
449	#125×C₇₁	C₂×C₄	1	1	yes	characteristic
450	#124×C₇₁	C₂×C₄	1	1	yes	characteristic
451	#123×C₇₁	C₂×C₄	1	1	yes	characteristic
452	#123×C₇₁	C₂×C₄	1	1	yes	characteristic
453	C₂²⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
454	#121×C₇₁	C₂×C₄	1	1	yes	characteristic
455	C₄×Q₈×C₇₁	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
459	#117×C₇₁	C₂³	1	1	yes	characteristic
460	#117×C₇₁	C₂³	1	1	yes	characteristic
461	C₂×C₄²×C₇₁	C₂³	1	1	yes	characteristic
462	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
463	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
464	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
465	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
466	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
467	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
468	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
469	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
470	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
471	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
478	#97×C₇₁	C₂³	1	1	yes	characteristic
479	#97×C₇₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
481	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
484	C₂³×D₇₁	C₂²×C₄	1	1	yes	characteristic
485	#11765865	—	2	2	no	—
486	#11765865	—	2	2	no	—
487	#11765865	—	2	2	no	—
488	#11765865	—	2	2	no	—
489	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
490	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
491	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
492	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
493	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
494	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
495	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
496	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
497	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
498	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
509	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
510	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
511	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₄×D₇₁	—	2	2	no	—
513	C₂×C₄×D₇₁	—	2	2	no	—
514	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
525	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
526	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
527	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
528	#11765849	—	4	1	no	—
529	#11765849	—	4	1	no	—
530	#11765849	—	4	1	no	—
531	#11765849	—	4	1	no	—
532	#11765848	—	2	2	no	—
533	#11765848	—	2	2	no	—
534	#11765848	—	2	2	no	—
535	#11765848	—	2	2	no	—
536	#11765848	—	4	1	no	—
537	#11765848	—	4	1	no	—
538	#11765848	—	4	1	no	—
539	#11765848	—	4	1	no	—
540	#11765848	—	4	1	no	—
541	#11765848	—	4	1	no	—
542	C₂×C₇₁⋊C₈	—	4	1	no	—
543	C₂×C₇₁⋊C₈	—	4	1	no	—
544	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
545	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
546	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
547	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
548	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
549	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
550	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
551	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
552	C₈×D₇₁	—	2	2	no	—
553	C₈×D₇₁	—	2	2	no	—
554	C₈×D₇₁	—	2	2	no	—
555	C₈×D₇₁	—	2	2	no	—
556	C₈×D₇₁	—	4	1	no	—
557	C₈×D₇₁	—	4	1	no	—
558	C₈×D₇₁	—	4	1	no	—
559	C₈×D₇₁	—	4	1	no	—
560	C₈×D₇₁	—	4	1	no	—
561	C₈×D₇₁	—	4	1	no	—
562	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
563	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
564	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
565	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
566	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
567	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
568	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
569	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
570	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
571	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
572	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
597	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
598	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
599	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
600	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
601	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
602	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
603	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
604	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
605	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
606	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
631	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
632	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
633	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
634	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
635	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
636	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
637	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
638	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
639	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
640	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
641	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
642	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
643	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
644	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
645	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
646	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
647	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
648	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
649	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
650	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
651	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
652	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
653	M₁₆×C₇₁	—	4	1	no	—
654	M₁₆×C₇₁	—	4	1	no	—
655	C₂×C₈×C₇₁	—	4	1	no	—
656	C₂×C₈×C₇₁	—	4	1	no	—
657	C₂×C₈×C₇₁	—	4	1	no	—
658	C₂×C₈×C₇₁	—	4	1	no	—
659	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
660	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
661	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
662	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
663	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
664	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
665	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
666	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
667	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
668	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
669	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
670	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
671	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
672	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
677	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
678	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
679	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
687	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
688	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
689	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
690	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
691	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
692	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
693	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
694	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
695	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
696	C₂²×D₇₁	—	2	2	no	—
697	C₂²×D₇₁	—	4	1	no	—
698	C₂²×D₇₁	—	4	1	no	—
699	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
700	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
701	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
702	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
703	Q₈×C₇₁	—	4	1	no	—
704	D₄×C₇₁	—	4	1	no	—
705	D₄×C₇₁	—	4	1	no	—
706	D₄×C₇₁	—	4	1	no	—
707	C₂×C₄×C₇₁	—	2	1	no	—
708	C₂×C₄×C₇₁	—	2	1	no	—
709	C₂×C₄×C₇₁	—	2	1	no	—
710	C₂×C₄×C₇₁	—	2	1	no	—
711	C₂×C₄×C₇₁	—	2	1	no	—
712	C₂×C₄×C₇₁	—	2	1	no	—
713	C₂×C₄×C₇₁	—	4	1	no	—
714	C₂×C₄×C₇₁	—	4	1	no	—
715	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
716	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
717	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
718	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
723	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
724	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
725	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
726	C₂×C₄×C₇₁	C₂⁵	1	1	yes	characteristic
727	C₂²⋊D₇₁	—	2	2	no	—
728	C₂²⋊D₇₁	—	2	2	no	—
729	C₂²⋊D₇₁	—	2	2	no	—
730	C₂²⋊D₇₁	—	2	2	no	—
731	C₂²⋊D₇₁	—	4	1	no	—
732	C₂²⋊D₇₁	—	4	1	no	—
733	C₂²⋊D₇₁	—	4	1	no	—
734	C₂²⋊D₇₁	—	4	1	no	—
735	C₂²⋊D₇₁	—	4	1	no	—
736	C₂²⋊D₇₁	—	4	1	no	—
737	C₂×Dic₇₁	—	2	2	no	—
738	C₂×Dic₇₁	—	4	1	no	—
739	C₂×Dic₇₁	—	4	1	no	—
740	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
741	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
742	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
743	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
744	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
745	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
746	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
747	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
748	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
749	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
750	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
751	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
752	D₂₈₄	—	2	2	no	—
753	D₂₈₄	—	2	2	no	—
754	D₂₈₄	—	4	1	no	—
755	D₂₈₄	—	4	1	no	—
756	D₂₈₄	—	4	1	no	—
757	C₄×D₇₁	—	2	2	no	—
758	C₄×D₇₁	—	2	1	no	—
759	C₄×D₇₁	—	2	1	no	—
760	C₄×D₇₁	—	2	1	no	—
761	C₄×D₇₁	—	2	1	no	—
762	C₄×D₇₁	—	2	1	no	—
763	C₄×D₇₁	—	2	1	no	—
764	C₄×D₇₁	—	2	2	no	—
765	C₄×D₇₁	—	4	1	no	—
766	C₄×D₇₁	—	4	1	no	—
767	C₄×D₇₁	—	4	1	no	—
768	C₄×D₇₁	—	4	1	no	—
769	C₄×D₇₁	—	4	1	no	—
770	C₄×D₇₁	—	4	1	no	—
771	C₄×D₇₁	—	4	1	no	—
772	C₄×D₇₁	—	4	1	no	—
773	C₄×D₇₁	H(5,𝔽₂)	1	2	yes	—
774	C₄×D₇₁	2₋¹⁺⁴	1	2	yes	—
775	Dic₁₄₂	—	2	2	no	—
776	Dic₁₄₂	—	2	2	no	—
777	Dic₁₄₂	—	4	1	no	—
778	Dic₁₄₂	—	4	1	no	—
779	Dic₁₄₂	—	4	1	no	—
780	C₈×C₇₁	—	2	1	no	—
781	C₈×C₇₁	—	2	1	no	—
782	C₈×C₇₁	—	2	1	no	—
783	C₈×C₇₁	—	2	1	no	—
784	C₈×C₇₁	—	2	1	no	—
785	C₈×C₇₁	—	2	1	no	—
786	C₈×C₇₁	—	2	1	no	—
787	C₈×C₇₁	—	2	1	no	—
788	C₇₁⋊C₈	—	2	1	no	—
789	C₇₁⋊C₈	—	2	1	no	—
790	C₇₁⋊C₈	—	2	1	no	—
791	C₇₁⋊C₈	—	2	1	no	—
792	C₇₁⋊C₈	—	2	1	no	—
793	C₇₁⋊C₈	—	2	1	no	—
794	C₇₁⋊C₈	—	2	1	no	—
795	C₇₁⋊C₈	—	2	1	no	—
796	C₂²×C₇₁	—	2	1	no	—
797	C₂²×C₇₁	—	2	1	no	—
798	C₂²×C₇₁	—	2	1	no	—
799	C₂²×C₇₁	—	2	1	no	—
800	C₂²×C₇₁	—	2	1	no	—
801	C₂²×C₇₁	—	2	1	no	—
802	C₂²×C₇₁	—	2	1	no	—
803	C₂²×C₇₁	—	2	1	no	—
804	C₂²×C₇₁	—	2	1	no	—
805	C₂²×C₇₁	C₂⁴×C₄	1	1	yes	characteristic
806	C₂×D₇₁	—	2	1	no	—
807	C₂×D₇₁	—	2	1	no	—
808	C₂×D₇₁	—	2	1	no	—
809	C₂×D₇₁	—	2	1	no	—
810	C₂×D₇₁	—	2	1	no	—
811	C₂×D₇₁	—	2	1	no	—
812	C₂×D₇₁	—	2	1	no	—
813	C₂×D₇₁	—	2	1	no	—
814	C₂×D₇₁	—	2	1	no	—
815	C₂×D₇₁	—	2	1	no	—
816	C₂×D₇₁	—	2	1	no	—
817	C₂×D₇₁	—	4	4	no	—
818	C₂×D₇₁	#520	1	2	yes	—
819	C₄×C₇₁	—	2	1	no	—
820	C₄×C₇₁	—	2	1	no	—
821	C₄×C₇₁	—	2	1	no	—
822	C₄×C₇₁	—	2	1	no	—
823	C₄×C₇₁	—	2	1	no	—
824	C₄×C₇₁	—	2	1	no	—
825	C₄×C₇₁	—	2	1	no	—
826	C₄×C₇₁	—	2	1	no	—
827	C₄×C₇₁	—	2	1	no	—
828	C₄×C₇₁	—	2	1	no	—
829	C₄×C₇₁	—	2	1	no	—
830	C₄×C₇₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
831	C₄×C₇₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
832	Dic₇₁	—	2	1	no	—
833	Dic₇₁	—	2	1	no	—
834	Dic₇₁	—	2	1	no	—
835	Dic₇₁	—	2	1	no	—
836	Dic₇₁	—	2	1	no	—
837	Dic₇₁	—	2	1	no	—
838	Dic₇₁	—	2	1	no	—
839	Dic₇₁	—	2	1	no	—
840	Dic₇₁	—	2	1	no	—
841	Dic₇₁	—	2	1	no	—
842	Dic₇₁	—	2	1	no	—
843	Dic₇₁	#520	1	2	yes	—
844	#60267	—	71	1	no	maximal, Sylow
845	C₂×C₇₁	—	4	1	no	—
846	C₂×C₇₁	—	4	1	no	—
847	C₂×C₇₁	—	4	1	no	—
848	C₂×C₇₁	C₂×#520	1	1	yes	characteristic
849	C₂×C₇₁	#3573	1	1	yes	characteristic
850	C₂×C₇₁	#3573	1	1	yes	characteristic
851	D₇₁	—	2	2	no	—
852	D₇₁	—	4	1	no	—
853	D₇₁	—	4	1	no	—
854	D₇₁	—	4	1	no	—
855	#3455	—	71	1	no	—
856	#2995	—	71	1	no	—
857	#2995	—	71	1	no	—
858	#2995	—	71	1	no	—
859	#2995	—	71	1	no	—
860	#2994	—	71	1	no	—
861	#2994	—	71	1	no	—
862	#2994	—	71	1	no	—
863	#2994	D₇₁	1	1	yes	characteristic, complemented
864	#2993	—	71	1	no	—
865	#2993	—	71	1	no	—
866	#2993	—	71	1	no	—
867	#2993	—	71	1	no	—
868	#2992	—	71	1	no	—
869	#2992	—	71	1	no	—
870	#2992	—	71	1	no	—
871	#2992	—	71	1	no	—
872	#2962	—	71	1	no	—
873	#2962	—	71	1	no	—
874	#2935	—	71	1	no	—
875	#2935	—	71	1	no	—
876	#2930	—	71	1	no	—
877	#2930	—	71	1	no	—
878	#2929	—	71	1	no	—
879	#2929	—	71	1	no	—
880	#2925	—	71	1	no	—
881	#2925	—	71	1	no	—
882	#2921	—	71	1	no	—
883	#2906	—	71	1	no	—
884	#2906	—	71	1	no	—
885	C₂×#424	—	71	1	no	—
886	C₇₁	#60267	1	1	yes	characteristic, complemented, Sylow
887	C₂×#131	—	71	1	no	—
888	C₂×#131	—	71	1	no	—
889	C₂×#131	—	71	1	no	—
890	C₂×#131	—	71	1	no	—
891	C₂²×M₁₆	—	71	1	no	—
892	C₂³×C₈	—	71	1	no	—
893	#542	—	71	1	no	—
894	#542	—	71	1	no	—
895	#542	—	71	1	no	—
896	#542	—	71	1	no	—
897	#541	—	71	1	no	—
898	#541	—	71	1	no	—
899	#540	—	71	1	no	—
900	#540	—	71	1	no	—
901	#539	—	71	1	no	—
902	#539	—	71	1	no	—
903	#539	—	71	1	no	—
904	#539	—	71	1	no	—
905	#538	—	71	1	no	—
906	#538	—	71	1	no	—
907	#538	—	71	1	no	—
908	#538	—	71	1	no	—
909	#533	—	71	1	no	—
910	#532	—	71	1	no	—
911	#529	—	71	1	no	—
912	#529	—	71	1	no	—
913	#529	—	71	1	no	—
914	#529	—	71	1	no	—
915	#529	—	71	1	no	—
916	#529	—	71	1	no	—
917	#529	—	71	1	no	—
918	#529	C₂×D₇₁	1	1	yes	characteristic
919	#525	—	71	1	no	—
920	#525	—	71	1	no	—
921	C₄×#41	—	71	1	no	—
922	C₄×#41	—	71	1	no	—
923	C₂×#117	—	71	1	no	—
924	#446	—	71	1	no	—
925	#446	—	71	1	no	—
926	#446	—	71	1	no	—
927	#446	—	71	1	no	—
928	#446	—	71	1	no	—
929	#446	—	71	1	no	—
930	#446	—	71	1	no	—
931	#446	—	71	1	no	—
932	#446	—	71	1	no	—
933	#446	—	71	1	no	—
934	#446	—	71	1	no	—
935	#446	C₂×D₇₁	1	1	yes	characteristic, complemented
936	C₈×Q₈	—	71	1	no	—
937	C₈×Q₈	—	71	1	no	—
938	C₈×Q₈	—	71	1	no	—
939	C₈×Q₈	C₂×D₇₁	1	1	yes	characteristic, complemented
940	#436	—	71	1	no	—
941	#436	—	71	1	no	—
942	#436	—	71	1	no	—
943	#436	—	71	1	no	—
944	#436	—	71	1	no	—
945	#436	—	71	1	no	—
946	#436	—	71	1	no	—
947	#436	—	71	1	no	—
948	#436	—	71	1	no	—
949	#436	—	71	1	no	—
950	#436	—	71	1	no	—
951	#436	C₂×D₇₁	1	1	yes	characteristic
952	#435	—	71	1	no	—
953	#435	—	71	1	no	—
954	#435	—	71	1	no	—
955	#435	—	71	1	no	—
956	#435	—	71	1	no	—
957	#435	—	71	1	no	—
958	#435	—	71	1	no	—
959	#435	—	71	1	no	—
960	#435	—	71	1	no	—
961	#435	—	71	1	no	—
962	#435	—	71	1	no	—
963	#435	—	71	1	no	—
964	#435	—	71	1	no	—
965	#435	—	71	1	no	—
966	#435	—	71	1	no	—
967	#435	—	71	1	no	—
968	#435	—	71	1	no	—
969	#435	—	71	1	no	—
970	#435	—	71	1	no	—
971	#435	—	71	1	no	—
972	#435	—	71	1	no	—
973	#435	—	71	1	no	—
974	#435	C₂×D₇₁	1	1	yes	characteristic
975	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
976	C₈×D₄	—	71	1	no	—
977	C₈×D₄	—	71	1	no	—
978	C₈×D₄	—	71	1	no	—
979	C₈×D₄	—	71	1	no	—
980	C₈×D₄	—	71	1	no	—
981	C₈×D₄	—	71	1	no	—
982	C₈×D₄	—	71	1	no	—
983	C₈×D₄	—	71	1	no	—
984	C₈×D₄	—	71	1	no	—
985	C₈×D₄	C₂×D₇₁	1	1	yes	characteristic
986	C₈×D₄	C₂×D₇₁	1	1	yes	characteristic
987	C₈×D₄	C₂×D₇₁	1	1	yes	characteristic, complemented
988	#433	—	71	1	no	—
989	#433	—	71	1	no	—
990	#433	—	71	1	no	—
991	#433	—	71	1	no	—
992	#433	—	71	1	no	—
993	#433	—	71	1	no	—
994	#433	—	71	1	no	—
995	#433	—	71	1	no	—
996	#433	—	71	1	no	—
997	#433	—	71	1	no	—
998	#433	—	71	1	no	—
999	#433	—	71	1	no	—
1000	#433	—	71	1	no	—
1001	#433	—	71	1	no	—
1002	#433	C₂×D₇₁	1	1	yes	characteristic
1003	#433	C₂×D₇₁	1	1	yes	characteristic, complemented
1004	#432	—	71	1	no	—
1005	#432	—	71	1	no	—
1006	#432	—	71	1	no	—
1007	#432	—	71	1	no	—
1008	#431	—	71	1	no	—
1009	#431	—	71	1	no	—
1010	#431	—	71	1	no	—
1011	#431	C₂×D₇₁	1	1	yes	characteristic, complemented
1012	#424	—	71	1	no	—
1013	#424	—	71	1	no	—
1014	#424	—	71	1	no	—
1015	#424	—	71	1	no	—
1016	#424	—	71	1	no	—
1017	#424	—	71	1	no	—
1018	#424	—	71	1	no	—
1019	#424	—	71	1	no	—
1020	#424	—	71	1	no	—
1021	#424	—	71	1	no	—
1022	#424	—	71	1	no	—
1023	#424	—	71	1	no	—
1024	#424	—	71	1	no	—
1025	#424	—	71	1	no	—
1026	#424	—	71	1	no	—
1027	#424	—	71	1	no	—
1028	#424	—	71	1	no	—
1029	#424	—	71	1	no	—
1030	#424	C₂×D₇₁	1	1	yes	characteristic
1031	#424	C₂×D₇₁	1	1	yes	characteristic, complemented
1032	#423	—	71	1	no	—
1033	#423	—	71	1	no	—
1034	#423	—	71	1	no	—
1035	#423	—	71	1	no	—
1036	#423	—	71	1	no	—
1037	#423	—	71	1	no	—
1038	C₂×C₄⋊C₈	—	71	1	no	—
1039	C₂×C₄⋊C₈	—	71	1	no	—
1040	C₂×C₄⋊C₈	—	71	1	no	—
1041	C₂×C₄⋊C₈	—	71	1	no	—
1042	C₂×C₄⋊C₈	—	71	1	no	—
1043	C₂×C₄⋊C₈	—	71	1	no	—
1044	C₂×C₄⋊C₈	—	71	1	no	—
1045	C₂×C₄⋊C₈	C₂×D₇₁	1	1	yes	characteristic, complemented
1046	#408	—	71	1	no	—
1047	#408	—	71	1	no	—
1048	#408	—	71	1	no	—
1049	#408	—	71	1	no	—
1050	#407	—	71	1	no	—
1051	#407	—	71	1	no	—
1052	#405	—	71	1	no	—
1053	#405	—	71	1	no	—
1054	#405	—	71	1	no	—
1055	#405	—	71	1	no	—
1056	C₄×M₁₆	—	71	1	no	—
1057	C₄×M₁₆	—	71	1	no	—
1058	C₂×#41	—	71	1	no	—
1059	C₂×#41	—	71	1	no	—
1060	C₂³×C₄	—	71	1	no	—
1061	#131	—	284	2	no	—
1062	#131	—	284	2	no	—
1063	#131	—	284	2	no	—
1064	#131	—	284	2	no	—
1065	C₂×M₁₆	—	284	2	no	—
1066	C₂×M₁₆	—	71	1	no	—
1067	C₂×M₁₆	—	71	1	no	—
1068	C₂×M₁₆	—	71	1	no	—
1069	C₂×M₁₆	—	71	1	no	—
1070	C₂×M₁₆	—	71	1	no	—
1071	C₂×M₁₆	—	71	1	no	—
1072	C₂×M₁₆	—	71	1	no	—
1073	C₂×M₁₆	—	71	1	no	—
1074	C₂×M₁₆	—	71	1	no	—
1075	C₂×M₁₆	—	71	1	no	—
1076	C₂×M₁₆	—	71	1	no	—
1077	C₂×M₁₆	—	71	1	no	—
1078	C₂×M₁₆	—	71	1	no	—
1079	C₂×M₁₆	—	71	1	no	—
1080	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1081	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1082	C₂²×C₈	—	284	2	no	—
1083	C₂²×C₈	—	71	1	no	—
1084	C₂²×C₈	—	71	1	no	—
1085	C₂²×C₈	—	71	1	no	—
1086	C₂²×C₈	—	71	1	no	—
1087	C₂²×C₈	—	71	1	no	—
1088	C₂²×C₈	—	71	1	no	—
1089	C₂²×C₈	—	71	1	no	—
1090	C₂²×C₈	—	71	1	no	—
1091	C₂²×C₈	—	71	1	no	—
1092	C₂²×C₈	—	71	1	no	—
1093	C₂²×C₈	—	71	1	no	—
1094	C₂²×C₈	—	71	1	no	—
1095	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1096	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1097	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1098	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1099	C₄⋊Q₈	—	71	1	no	—
1100	C₄⋊Q₈	—	71	1	no	—
1101	C₄⋊Q₈	—	71	1	no	—
1102	#127	—	71	1	no	—
1103	#126	—	71	1	no	—
1104	#126	—	71	1	no	—
1105	#126	—	71	1	no	—
1106	#126	—	71	1	no	—
1107	#126	—	71	1	no	—
1108	#126	—	71	1	no	—
1109	#126	—	71	1	no	—
1110	#126	—	71	1	no	—
1111	#126	—	71	1	no	—
1112	#126	—	71	1	no	—
1113	#126	—	71	1	no	—
1114	#126	—	71	1	no	—
1115	#126	—	71	1	no	—
1116	#126	—	71	1	no	—
1117	#126	C₄×D₇₁	1	1	yes	characteristic
1118	#126	C₄×D₇₁	1	1	yes	characteristic
1119	#125	—	71	1	no	—
1120	#125	—	71	1	no	—
1121	#125	—	71	1	no	—
1122	#125	—	71	1	no	—
1123	#125	—	71	1	no	—
1124	#125	—	71	1	no	—
1125	#125	—	71	1	no	—
1126	#125	—	71	1	no	—
1127	#125	—	71	1	no	—
1128	#125	C₄×D₇₁	1	1	yes	characteristic
1129	#124	—	71	1	no	—
1130	#124	—	71	1	no	—
1131	#124	—	71	1	no	—
1132	#124	—	71	1	no	—
1133	#124	—	71	1	no	—
1134	#124	—	71	1	no	—
1135	#124	—	71	1	no	—
1136	#124	—	71	1	no	—
1137	#124	—	71	1	no	—
1138	#124	C₄×D₇₁	1	1	yes	characteristic
1139	#123	—	71	1	no	—
1140	#123	—	71	1	no	—
1141	#123	—	71	1	no	—
1142	#123	—	71	1	no	—
1143	#123	—	71	1	no	—
1144	#123	—	71	1	no	—
1145	#123	—	71	1	no	—
1146	#123	—	71	1	no	—
1147	#123	—	71	1	no	—
1148	#123	—	71	1	no	—
1149	#123	—	71	1	no	—
1150	#123	—	71	1	no	—
1151	#123	—	71	1	no	—
1152	#123	—	71	1	no	—
1153	#123	—	71	1	no	—
1154	#123	—	71	1	no	—
1155	#123	—	71	1	no	—
1156	#123	—	71	1	no	—
1157	#123	C₄×D₇₁	1	1	yes	characteristic
1158	#123	C₄×D₇₁	1	1	yes	characteristic
1159	C₂²⋊Q₈	—	71	1	no	—
1160	C₂²⋊Q₈	—	71	1	no	—
1161	C₂²⋊Q₈	—	71	1	no	—
1162	C₂²⋊Q₈	—	71	1	no	—
1163	C₂²⋊Q₈	—	71	1	no	—
1164	C₂²⋊Q₈	—	71	1	no	—
1165	C₂²⋊Q₈	—	71	1	no	—
1166	C₂²⋊Q₈	—	71	1	no	—
1167	C₂²⋊Q₈	—	71	1	no	—
1168	C₂²⋊Q₈	—	71	1	no	—
1169	C₂²⋊Q₈	—	71	1	no	—
1170	C₂²⋊Q₈	—	71	1	no	—
1171	C₂²⋊Q₈	—	71	1	no	—
1172	C₂²⋊Q₈	—	71	1	no	—
1173	C₂²⋊Q₈	—	71	1	no	—
1174	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1175	#121	—	71	1	no	—
1176	#121	—	71	1	no	—
1177	#121	—	71	1	no	—
1178	#121	—	71	1	no	—
1179	#121	—	71	1	no	—
1180	#121	—	71	1	no	—
1181	#121	—	71	1	no	—
1182	#121	—	71	1	no	—
1183	#121	—	71	1	no	—
1184	#121	—	71	1	no	—
1185	#121	—	71	1	no	—
1186	#121	—	71	1	no	—
1187	#121	—	71	1	no	—
1188	#121	—	71	1	no	—
1189	#121	—	71	1	no	—
1190	#121	C₄×D₇₁	1	1	yes	characteristic
1191	#120	—	71	1	no	—
1192	#120	—	71	1	no	—
1193	#120	—	71	1	no	—
1194	#120	—	71	1	no	—
1195	C₄×Q₈	—	71	1	no	—
1196	C₄×Q₈	—	71	1	no	—
1197	C₄×Q₈	—	71	1	no	—
1198	C₄×Q₈	—	71	1	no	—
1199	C₄×Q₈	—	71	1	no	—
1200	C₄×Q₈	—	71	1	no	—
1201	C₄×Q₈	—	71	1	no	—
1202	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1203	C₄×D₄	—	71	1	no	—
1204	C₄×D₄	—	71	1	no	—
1205	C₄×D₄	—	71	1	no	—
1206	C₄×D₄	—	71	1	no	—
1207	C₄×D₄	—	71	1	no	—
1208	C₄×D₄	—	71	1	no	—
1209	C₄×D₄	—	71	1	no	—
1210	C₄×D₄	—	71	1	no	—
1211	C₄×D₄	—	71	1	no	—
1212	C₄×D₄	—	71	1	no	—
1213	C₄×D₄	—	71	1	no	—
1214	C₄×D₄	—	71	1	no	—
1215	C₄×D₄	—	71	1	no	—
1216	C₄×D₄	—	71	1	no	—
1217	C₄×D₄	—	71	1	no	—
1218	C₄×D₄	—	71	1	no	—
1219	C₄×D₄	—	71	1	no	—
1220	C₄×D₄	—	71	1	no	—
1221	C₄×D₄	—	71	1	no	—
1222	C₄×D₄	—	71	1	no	—
1223	C₄×D₄	—	71	1	no	—
1224	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1225	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1226	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1227	#117	—	71	1	no	—
1228	#117	—	71	1	no	—
1229	#117	—	71	1	no	—
1230	#117	—	71	1	no	—
1231	#117	—	71	1	no	—
1232	#117	—	71	1	no	—
1233	#117	—	71	1	no	—
1234	#117	—	71	1	no	—
1235	#117	—	71	1	no	—
1236	#117	—	71	1	no	—
1237	#117	—	71	1	no	—
1238	#117	—	71	1	no	—
1239	#117	C₂²×D₇₁	1	1	yes	characteristic
1240	#117	C₂²×D₇₁	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	71	1	no	—
1242	C₂×C₄⋊C₄	—	71	1	no	—
1243	C₂×C₂²⋊C₄	—	71	1	no	—
1244	C₂×C₂²⋊C₄	—	71	1	no	—
1245	C₂×C₄²	—	71	1	no	—
1246	C₂×C₄²	—	71	1	no	—
1247	C₂×C₄²	—	71	1	no	—
1248	C₂×C₄²	—	71	1	no	—
1249	C₂×C₄²	—	71	1	no	—
1250	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
1251	C₄⋊C₈	—	71	1	no	—
1252	C₄⋊C₈	—	71	1	no	—
1253	C₄⋊C₈	—	71	1	no	—
1254	C₄⋊C₈	—	71	1	no	—
1255	C₄⋊C₈	—	71	1	no	—
1256	C₄⋊C₈	—	71	1	no	—
1257	C₄⋊C₈	—	71	1	no	—
1258	C₄⋊C₈	—	71	1	no	—
1259	C₄⋊C₈	—	71	1	no	—
1260	C₄⋊C₈	—	71	1	no	—
1261	C₄⋊C₈	—	71	1	no	—
1262	C₄⋊C₈	—	71	1	no	—
1263	C₄⋊C₈	—	71	1	no	—
1264	C₄⋊C₈	—	71	1	no	—
1265	C₄⋊C₈	—	71	1	no	—
1266	C₄⋊C₈	—	71	1	no	—
1267	C₄⋊C₈	—	71	1	no	—
1268	C₄⋊C₈	—	71	1	no	—
1269	C₄⋊C₈	—	71	1	no	—
1270	C₄⋊C₈	—	71	1	no	—
1271	C₄⋊C₈	—	71	1	no	—
1272	C₄⋊C₈	—	71	1	no	—
1273	C₄⋊C₈	—	71	1	no	—
1274	C₄⋊C₈	—	71	1	no	—
1275	C₄⋊C₈	—	71	1	no	—
1276	C₄⋊C₈	—	71	1	no	—
1277	C₄⋊C₈	—	71	1	no	—
1278	C₄⋊C₈	—	71	1	no	—
1279	C₄⋊C₈	—	71	1	no	—
1280	C₄⋊C₈	—	71	1	no	—
1281	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1282	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1283	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1284	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1285	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1286	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1287	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1288	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1289	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1290	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1291	C₂²⋊C₈	—	71	1	no	—
1292	C₂²⋊C₈	—	71	1	no	—
1293	C₂²⋊C₈	—	71	1	no	—
1294	C₂²⋊C₈	—	71	1	no	—
1295	C₂²⋊C₈	—	71	1	no	—
1296	C₂²⋊C₈	—	71	1	no	—
1297	C₂²⋊C₈	—	71	1	no	—
1298	C₂²⋊C₈	—	71	1	no	—
1299	C₂²⋊C₈	—	71	1	no	—
1300	C₂²⋊C₈	—	71	1	no	—
1301	C₂²⋊C₈	—	71	1	no	—
1302	C₂²⋊C₈	—	71	1	no	—
1303	C₂²⋊C₈	—	71	1	no	—
1304	C₂²⋊C₈	—	71	1	no	—
1305	C₂²⋊C₈	—	71	1	no	—
1306	C₂²⋊C₈	—	71	1	no	—
1307	C₂²⋊C₈	—	71	1	no	—
1308	C₂²⋊C₈	—	71	1	no	—
1309	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1315	#97	—	71	1	no	—
1316	#97	—	71	1	no	—
1317	#97	—	71	1	no	—
1318	#97	—	71	1	no	—
1319	#97	—	71	1	no	—
1320	#97	—	71	1	no	—
1321	#97	—	71	1	no	—
1322	#97	—	71	1	no	—
1323	#97	—	71	1	no	—
1324	#97	—	71	1	no	—
1325	#97	C₂²×D₇₁	1	1	yes	characteristic
1326	#97	C₂²×D₇₁	1	1	yes	characteristic
1327	C₄×C₈	—	71	1	no	—
1328	C₄×C₈	—	71	1	no	—
1329	C₄×C₈	—	71	1	no	—
1330	C₄×C₈	—	71	1	no	—
1331	C₄×C₈	—	71	1	no	—
1332	C₄×C₈	—	71	1	no	—
1333	C₄×C₈	—	71	1	no	—
1334	C₄×C₈	—	71	1	no	—
1335	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1336	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1337	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1338	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1339	C₂⁴	—	71	1	no	—
1340	#41	—	142	2	no	—
1341	#41	—	142	2	no	—
1342	#41	—	142	2	no	—
1343	#41	—	142	2	no	—
1344	C₂×Q₈	—	71	1	no	—
1345	C₂×Q₈	—	71	1	no	—
1346	C₂×Q₈	—	71	1	no	—
1347	C₂×Q₈	—	71	1	no	—
1348	C₂×Q₈	—	71	1	no	—
1349	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1350	C₂×D₄	—	71	1	no	—
1351	C₂×D₄	—	71	1	no	—
1352	C₂×D₄	—	71	1	no	—
1353	C₂×D₄	—	71	1	no	—
1354	C₂×D₄	—	71	1	no	—
1355	C₂×D₄	—	71	1	no	—
1356	C₂×D₄	—	71	1	no	—
1357	C₂×D₄	—	71	1	no	—
1358	C₂×D₄	—	71	1	no	—
1359	C₂×D₄	—	71	1	no	—
1360	C₂×D₄	—	71	1	no	—
1361	C₂×D₄	—	71	1	no	—
1362	C₂×D₄	—	71	1	no	—
1363	C₂×D₄	—	71	1	no	—
1364	C₂×D₄	—	71	1	no	—
1365	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1366	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1367	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1368	C₂²×C₄	—	71	1	no	—
1369	C₂²×C₄	—	71	1	no	—
1370	C₂²×C₄	—	71	1	no	—
1371	C₂²×C₄	—	71	1	no	—
1372	C₂²×C₄	—	71	1	no	—
1373	C₂²×C₄	—	71	1	no	—
1374	C₂²×C₄	—	71	1	no	—
1375	C₂²×C₄	—	71	1	no	—
1376	C₂²×C₄	—	71	1	no	—
1377	C₂²×C₄	—	71	1	no	—
1378	C₂²×C₄	—	71	1	no	—
1379	C₂²×C₄	—	71	1	no	—
1380	C₂²×C₄	—	71	1	no	—
1381	C₂²×C₄	—	71	1	no	—
1382	C₂²×C₄	—	71	1	no	—
1383	C₂²×C₄	—	71	1	no	—
1384	C₂²×C₄	—	71	1	no	—
1385	C₂²×C₄	—	142	2	no	—
1386	C₂²×C₄	—	142	2	no	—
1387	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1388	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1389	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1390	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1391	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1392	M₁₆	—	4	1	no	—
1393	M₁₆	—	4	1	no	—
1394	M₁₆	—	284	1	no	—
1395	M₁₆	—	284	1	no	—
1396	M₁₆	—	284	1	no	—
1397	M₁₆	—	284	1	no	—
1398	M₁₆	—	284	1	no	—
1399	M₁₆	—	284	1	no	—
1400	M₁₆	—	284	1	no	—
1401	M₁₆	—	284	1	no	—
1402	M₁₆	—	284	1	no	—
1403	M₁₆	—	284	1	no	—
1404	M₁₆	—	142	2	no	—
1405	M₁₆	—	142	2	no	—
1406	M₁₆	—	142	2	no	—
1407	M₁₆	—	142	2	no	—
1408	C₂×C₈	—	4	1	no	—
1409	C₂×C₈	—	4	1	no	—
1410	C₂×C₈	—	4	1	no	—
1411	C₂×C₈	—	4	1	no	—
1412	C₂×C₈	—	284	1	no	—
1413	C₂×C₈	—	284	1	no	—
1414	C₂×C₈	—	284	1	no	—
1415	C₂×C₈	—	284	1	no	—
1416	C₂×C₈	—	284	1	no	—
1417	C₂×C₈	—	284	1	no	—
1418	C₂×C₈	—	284	1	no	—
1419	C₂×C₈	—	284	1	no	—
1420	C₂×C₈	—	71	1	no	—
1421	C₂×C₈	—	71	1	no	—
1422	C₂×C₈	—	71	1	no	—
1423	C₂×C₈	—	71	1	no	—
1424	C₂×C₈	—	71	1	no	—
1425	C₂×C₈	—	71	1	no	—
1426	C₂×C₈	—	71	1	no	—
1427	C₂×C₈	—	71	1	no	—
1428	C₂×C₈	—	142	2	no	—
1429	C₂×C₈	—	142	2	no	—
1430	C₂×C₈	—	142	2	no	—
1431	C₂×C₈	—	142	2	no	—
1432	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1433	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1434	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1435	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1436	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1437	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1439	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1440	C₄⋊C₄	—	71	1	no	—
1441	C₄⋊C₄	—	71	1	no	—
1442	C₄⋊C₄	—	71	1	no	—
1443	C₄⋊C₄	—	71	1	no	—
1444	C₄⋊C₄	—	71	1	no	—
1445	C₄⋊C₄	—	71	1	no	—
1446	C₄⋊C₄	—	71	1	no	—
1447	C₄⋊C₄	—	71	1	no	—
1448	C₄⋊C₄	—	71	1	no	—
1449	C₄⋊C₄	—	71	1	no	—
1450	C₄⋊C₄	—	71	1	no	—
1451	C₄⋊C₄	—	71	1	no	—
1452	C₄⋊C₄	—	71	1	no	—
1453	C₄⋊C₄	—	71	1	no	—
1454	C₄⋊C₄	—	71	1	no	—
1455	C₄⋊C₄	—	71	1	no	—
1456	C₄⋊C₄	—	71	1	no	—
1457	C₄⋊C₄	—	71	1	no	—
1458	C₄⋊C₄	—	71	1	no	—
1459	C₄⋊C₄	—	71	1	no	—
1460	C₄⋊C₄	—	71	1	no	—
1461	C₄⋊C₄	—	71	1	no	—
1462	C₄⋊C₄	—	71	1	no	—
1463	C₄⋊C₄	—	71	1	no	—
1464	C₄⋊C₄	—	71	1	no	—
1465	C₄⋊C₄	—	71	1	no	—
1466	C₄⋊C₄	—	71	1	no	—
1467	C₄⋊C₄	—	71	1	no	—
1468	C₄⋊C₄	—	71	1	no	—
1469	C₄⋊C₄	—	71	1	no	—
1470	C₄⋊C₄	—	71	1	no	—
1471	C₄⋊C₄	—	71	1	no	—
1472	C₄⋊C₄	—	71	1	no	—
1473	C₄⋊C₄	—	71	1	no	—
1474	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1475	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1481	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1482	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1483	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1484	C₂²⋊C₄	—	71	1	no	—
1485	C₂²⋊C₄	—	71	1	no	—
1486	C₂²⋊C₄	—	71	1	no	—
1487	C₂²⋊C₄	—	71	1	no	—
1488	C₂²⋊C₄	—	71	1	no	—
1489	C₂²⋊C₄	—	71	1	no	—
1490	C₂²⋊C₄	—	71	1	no	—
1491	C₂²⋊C₄	—	71	1	no	—
1492	C₂²⋊C₄	—	71	1	no	—
1493	C₂²⋊C₄	—	71	1	no	—
1494	C₂²⋊C₄	—	71	1	no	—
1495	C₂²⋊C₄	—	71	1	no	—
1496	C₂²⋊C₄	—	71	1	no	—
1497	C₂²⋊C₄	—	71	1	no	—
1498	C₂²⋊C₄	—	71	1	no	—
1499	C₂²⋊C₄	—	71	1	no	—
1500	C₂²⋊C₄	—	71	1	no	—
1501	C₂²⋊C₄	—	71	1	no	—
1502	C₂²⋊C₄	—	71	1	no	—
1503	C₂²⋊C₄	—	71	1	no	—
1504	C₂²⋊C₄	—	71	1	no	—
1505	C₂²⋊C₄	—	71	1	no	—
1506	C₂²⋊C₄	—	71	1	no	—
1507	C₂²⋊C₄	—	71	1	no	—
1508	C₂²⋊C₄	—	71	1	no	—
1509	C₂²⋊C₄	—	71	1	no	—
1510	C₂²⋊C₄	—	71	1	no	—
1511	C₂²⋊C₄	—	71	1	no	—
1512	C₂²⋊C₄	—	71	1	no	—
1513	C₂²⋊C₄	—	71	1	no	—
1514	C₂²⋊C₄	—	71	1	no	—
1515	C₂²⋊C₄	—	71	1	no	—
1516	C₂²⋊C₄	—	71	1	no	—
1517	C₂²⋊C₄	—	71	1	no	—
1518	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1528	C₄²	—	71	1	no	—
1529	C₄²	—	71	1	no	—
1530	C₄²	—	71	1	no	—
1531	C₄²	—	71	1	no	—
1532	C₄²	—	71	1	no	—
1533	C₄²	—	71	1	no	—
1534	C₄²	—	71	1	no	—
1535	C₄²	—	71	1	no	—
1536	C₄²	—	71	1	no	—
1537	C₄²	—	71	1	no	—
1538	C₄²	—	71	1	no	—
1539	C₄²	—	71	1	no	—
1540	C₄²	—	71	1	no	—
1541	C₄²	—	71	1	no	—
1542	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1543	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1544	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1545	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1546	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1547	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1548	C₂³	—	284	1	no	—
1549	C₂³	—	284	1	no	—
1550	C₂³	—	71	1	no	—
1551	C₂³	—	71	1	no	—
1552	C₂³	—	71	1	no	—
1553	C₂³	—	71	1	no	—
1554	C₂³	—	142	2	no	—
1555	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1556	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1557	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1558	Q₈	—	4	1	no	—
1559	Q₈	—	284	1	no	—
1560	Q₈	—	284	1	no	—
1561	Q₈	—	284	1	no	—
1562	Q₈	—	142	2	no	—
1563	Q₈	—	142	2	no	—
1564	D₄	—	4	1	no	—
1565	D₄	—	4	1	no	—
1566	D₄	—	4	1	no	—
1567	D₄	—	284	1	no	—
1568	D₄	—	284	1	no	—
1569	D₄	—	284	1	no	—
1570	D₄	—	284	1	no	—
1571	D₄	—	284	1	no	—
1572	D₄	—	284	1	no	—
1573	D₄	—	284	1	no	—
1574	D₄	—	284	1	no	—
1575	D₄	—	284	1	no	—
1576	D₄	—	142	2	no	—
1577	D₄	—	142	2	no	—
1578	D₄	—	142	2	no	—
1579	D₄	—	142	2	no	—
1580	D₄	—	142	2	no	—
1581	D₄	—	142	2	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	4	1	no	—
1589	C₂×C₄	—	4	1	no	—
1590	C₂×C₄	—	284	1	no	—
1591	C₂×C₄	—	284	1	no	—
1592	C₂×C₄	—	284	1	no	—
1593	C₂×C₄	—	284	1	no	—
1594	C₂×C₄	—	284	1	no	—
1595	C₂×C₄	—	284	1	no	—
1596	C₂×C₄	—	284	1	no	—
1597	C₂×C₄	—	284	1	no	—
1598	C₂×C₄	—	284	1	no	—
1599	C₂×C₄	—	284	1	no	—
1600	C₂×C₄	—	71	1	no	—
1601	C₂×C₄	—	71	2	no	—
1602	C₂×C₄	—	71	2	no	—
1603	C₂×C₄	—	71	1	no	—
1604	C₂×C₄	—	71	1	no	—
1605	C₂×C₄	—	71	1	no	—
1606	C₂×C₄	—	71	1	no	—
1607	C₂×C₄	—	71	1	no	—
1608	C₂×C₄	—	71	1	no	—
1609	C₂×C₄	—	71	1	no	—
1610	C₂×C₄	—	71	1	no	—
1611	C₂×C₄	—	71	1	no	—
1612	C₂×C₄	—	71	1	no	—
1613	C₂×C₄	—	71	1	no	—
1614	C₂×C₄	—	142	2	no	—
1615	C₂×C₄	—	142	2	no	—
1616	C₂×C₄	—	142	2	no	—
1617	C₂×C₄	—	142	1	no	—
1618	C₂×C₄	—	142	1	no	—
1619	C₂×C₄	—	142	1	no	—
1620	C₂×C₄	—	142	1	no	—
1621	C₂×C₄	—	142	1	no	—
1622	C₂×C₄	—	142	1	no	—
1623	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1624	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1625	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1626	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1627	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1628	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1629	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1630	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1631	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1632	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1634	C₂×C₄	C₂⁴×D₇₁	1	1	yes	characteristic
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₈	—	2	1	no	—
1639	C₈	—	2	1	no	—
1640	C₈	—	2	1	no	—
1641	C₈	—	2	1	no	—
1642	C₈	—	2	1	no	—
1643	C₈	—	142	1	no	—
1644	C₈	—	142	1	no	—
1645	C₈	—	142	1	no	—
1646	C₈	—	142	1	no	—
1647	C₈	—	142	1	no	—
1648	C₈	—	142	1	no	—
1649	C₈	—	142	1	no	—
1650	C₈	—	142	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	284	4	no	—
1661	C₂²	—	71	2	no	—
1662	C₂²	—	142	1	no	—
1663	C₂²	—	142	1	no	—
1664	C₂²	—	142	1	no	—
1665	C₂²	—	142	1	no	—
1666	C₂²	—	142	1	no	—
1667	C₂²	—	142	1	no	—
1668	C₂²	—	142	1	no	—
1669	C₂²	—	142	1	no	—
1670	C₂²	—	142	1	no	—
1671	C₂²	—	142	1	no	—
1672	C₂²	—	142	1	no	—
1673	C₂²	C₂³×C₄×D₇₁	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	71	2	no	—
1686	C₄	—	142	1	no	—
1687	C₄	—	142	1	no	—
1688	C₄	—	142	1	no	—
1689	C₄	—	142	1	no	—
1690	C₄	—	142	1	no	—
1691	C₄	—	142	1	no	—
1692	C₄	—	142	1	no	—
1693	C₄	—	142	1	no	—
1694	C₄	—	142	1	no	—
1695	C₄	—	142	1	no	—
1696	C₄	—	142	1	no	—
1697	C₄	H(5,𝔽₂)×D₇₁	1	1	yes	characteristic
1698	C₄	2₋¹⁺⁴×D₇₁	1	1	yes	characteristic
1699	C₂	—	4	1	no	—
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	284	1	no	—
1703	C₂	—	284	1	no	—
1704	C₂	—	284	1	no	—
1705	C₂	—	142	2	no	—
1706	C₂	#520×D₇₁	1	1	yes	characteristic
1707	C₂	#22603051	1	1	yes	characteristic
1708	C₂	#22603051	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₁
commutator, socle	C₂²×C₇₁	C₂⁴×C₄
Fitting	C₇₁×#2994	C₂
prime radical	#22601723	C₂
cosocle	C₂×C₄×C₇₁	C₂⁵
hypercenter	#2994	D₇₁
hypocenter	C₇₁	#60267
LCS	G ▷ C₂²×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂×C₄ ◁ #2994

Complements

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

N	H ≅ G/N	type
2. #22597510	C₂	semidirect
3. #22597506	C₂	semidirect
4. #22597505	C₂	semidirect
5. #22597504	C₂	semidirect
6. #22597498	C₂	semidirect
7. #22597497	C₂	semidirect
8. #22597495	C₂	semidirect
9. #22597491	C₂	semidirect
10. #22597488	C₂	semidirect
11. #22597487	C₂	semidirect
12. #22597482	C₂	semidirect
13. #22597478	C₂	semidirect
14. #22597476	C₂	semidirect
15. #22597474	C₂	semidirect
16. #22597473	C₂	semidirect
17. #22597285	C₂	semidirect
18. #22597282	C₂	semidirect
19. #22597081	C₂	semidirect
20. #22597079	C₂	semidirect
21. #22597040	C₂	semidirect
22. #22597038	C₂	semidirect
23. #22597029	C₂	semidirect
24. #22597029	C₂	semidirect
25. #22597003	C₂	semidirect
26. #22597001	C₂	semidirect
27. #22596974	C₂	semidirect
28. #22596907	C₂	semidirect
29. #22596905	C₂	semidirect
30. #424×D₇₁	C₂	semidirect
31. C₇₁×#2994	C₂	semidirect
68. #17986130	C₂²	semidirect
69. #17986130	C₂²	semidirect
70. #17986129	C₂²	semidirect
71. #17986129	C₂²	semidirect
72. #17986129	C₂²	semidirect
73. #17986128	C₂²	semidirect
74. #17986128	C₂²	semidirect
75. #17986128	C₂²	semidirect
76. #17986128	C₂²	semidirect
77. #17986127	C₂²	semidirect
78. #17986127	C₂²	semidirect
79. C₈×Dic₁₄₂	C₂²	semidirect
80. #17986123	C₂²	semidirect
81. #17986123	C₂²	semidirect
83. #17986078	C₂²	semidirect
85. #17986077	C₂²	semidirect
89. #17986075	C₂²	semidirect
92. #17986074	C₂²	semidirect
96. #17986073	C₂²	semidirect
97. #17986073	C₂²	semidirect
99. #17986072	C₂²	semidirect
103. #17986071	C₂²	semidirect
105. #17986070	C₂²	semidirect
106. #17986070	C₂²	semidirect
110. #17986069	C₂²	semidirect
117. #17986064	C₂²	semidirect
122. C₈×C₂²⋊D₇₁	C₂²	semidirect
123. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
126. #17986060	C₂²	semidirect
129. #17986059	C₂²	semidirect
130. #17986059	C₂²	semidirect
132. #17986058	C₂²	semidirect
133. #17986058	C₂²	semidirect
136. #17986057	C₂²	semidirect
137. #17986057	C₂²	semidirect
138. #17986056	C₂²	semidirect
139. #17986055	C₂²	semidirect
140. #17986054	C₂²	semidirect
141. #17986053	C₂²	semidirect
142. #17986051	C₂²	semidirect
143. #17986050	C₂²	semidirect
144. #17986049	C₂²	semidirect
147. #17986026	C₂²	semidirect
149. #17986025	C₂²	semidirect
150. #17986025	C₂²	semidirect
159. #17986024	C₂²	semidirect
160. #17986024	C₂²	semidirect
161. #17986024	C₂²	semidirect
162. #17986024	C₂²	semidirect
163. #17986023	C₂²	semidirect
164. #17986022	C₂²	semidirect
167. #17986021	C₂²	semidirect
168. #17986021	C₂²	semidirect
169. C₂×Dic₇₁⋊C₈	C₂²	semidirect
174. C₄⋊C₈×D₇₁	C₂²	semidirect
175. C₄⋊C₈×D₇₁	C₂²	semidirect
189. #446×C₇₁	C₂²	semidirect
190. C₈×Q₈×C₇₁	C₂²	semidirect
193. #435×C₇₁	C₂²	semidirect
196. C₈×D₄×C₇₁	C₂²	semidirect
198. #433×C₇₁	C₂²	semidirect
199. #431×C₇₁	C₂²	semidirect
201. #424×C₇₁	C₂²	semidirect
202. C₂×C₄⋊C₈×C₇₁	C₂²	semidirect
863. #2994	D₇₁	semidirect
886. C₇₁	#60267	semidirect
935. #446	C₂×D₇₁	semidirect
939. C₈×Q₈	C₂×D₇₁	semidirect
975. #435	C₂×D₇₁	semidirect
987. C₈×D₄	C₂×D₇₁	semidirect
1003. #433	C₂×D₇₁	semidirect
1011. #431	C₂×D₇₁	semidirect
1031. #424	C₂×D₇₁	semidirect
1045. C₂×C₄⋊C₈	C₂×D₇₁	semidirect

Maximal subgroups

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

subgroup	index
#22601723	2
#22597510	2
#22597506	2
#22597505	2
#22597504	2
#22597498	2
#22597497	2
#22597495	2
#22597491	2
#22597488	2
#22597487	2
#22597482	2
#22597478	2
#22597476	2
#22597474	2
#22597473	2
#22597285	2
#22597282	2
#22597081	2
#22597079	2
#22597040	2
#22597038	2
#22597029	2
#22597003	2
#22597001	2
#22596974	2
#22596907	2
#22596905	2
#424×D₇₁	2
C₇₁×#2994	2
#60267	71