Subgroups — #32863402

Order 18176.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22601944	C₂	1	1	yes	maximal, characteristic
2	#22597512	C₂	1	1	yes	maximal, characteristic, complemented
3	#22597506	C₂	1	1	yes	maximal, characteristic, complemented
4	#22597493	C₂	1	1	yes	maximal, characteristic, complemented
5	#22597482	C₂	1	1	yes	maximal, characteristic, complemented
6	#22597460	C₂	1	1	yes	maximal, characteristic, complemented
7	#22597459	C₂	1	1	yes	maximal, characteristic, complemented
8	#22597412	C₂	1	1	yes	maximal, characteristic, complemented
9	#22597400	C₂	1	1	yes	maximal, characteristic, complemented
10	#22597399	C₂	1	1	yes	maximal, characteristic, complemented
11	#22597389	C₂	1	1	yes	maximal, characteristic, complemented
12	#22597385	C₂	1	1	yes	maximal, characteristic, complemented
13	#22597379	C₂	1	1	yes	maximal, characteristic, complemented
14	#22597371	C₂	1	1	yes	maximal, characteristic, complemented
15	#22597365	C₂	1	1	yes	maximal, characteristic, complemented
16	#22597357	C₂	1	1	yes	maximal, characteristic, complemented
17	#22597337	C₂	1	1	yes	maximal, characteristic, complemented
18	#22597322	C₂	1	1	yes	maximal, characteristic, complemented
19	#22597320	C₂	1	1	yes	maximal, characteristic, complemented
20	#22597310	C₂	1	1	yes	maximal, characteristic, complemented
21	#22597300	C₂	1	1	yes	maximal, characteristic, complemented
22	#22597081	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×#11765849	C₂	1	1	yes	maximal, characteristic, complemented
24	#22597073	C₂	1	1	yes	maximal, characteristic, complemented
25	#22597072	C₂	1	1	yes	maximal, characteristic, complemented
26	#22597066	C₂	1	1	yes	maximal, characteristic, complemented
27	#22597061	C₂	1	1	yes	maximal, characteristic, complemented
28	#22597039	C₂	1	1	yes	maximal, characteristic, complemented
29	#22597038	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#17986074	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₁×#2973	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556136	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14556134	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#11765849	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11765849	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#11765848	C₂²	1	1	yes	characteristic, complemented
37	C₂×M₁₆×D₇₁	C₂²	1	1	yes	characteristic, complemented
38	#17986732	C₄	1	1	yes	characteristic
39	#17986708	C₄	1	1	yes	characteristic
40	#17986704	C₄	1	1	yes	characteristic
41	#17986699	C₄	1	1	yes	characteristic
42	#17986698	C₄	1	1	yes	characteristic
43	#17986698	C₄	1	1	yes	characteristic
44	#17986697	C₄	1	1	yes	characteristic
45	#17986678	C₄	1	1	yes	characteristic
46	#17986678	C₄	1	1	yes	characteristic
47	#17986675	C₄	1	1	yes	characteristic
48	#17986675	C₄	1	1	yes	characteristic
49	#17986644	C₄	1	1	yes	characteristic
50	#17986643	C₄	1	1	yes	characteristic
51	#17986639	C₄	1	1	yes	characteristic
52	#17986639	C₄	1	1	yes	characteristic
53	D₄×C₂²⋊D₇₁	C₄	1	1	yes	characteristic
54	#17986546	C₂²	1	1	yes	characteristic
55	#17986533	C₂²	1	1	yes	characteristic
56	#17986531	C₂²	1	1	yes	characteristic
57	#17986529	C₂²	1	1	yes	characteristic
58	#17986529	C₂²	1	1	yes	characteristic
59	#17986510	C₂²	1	1	yes	characteristic
60	#17986510	C₂²	1	1	yes	characteristic
61	#17986508	C₂²	1	1	yes	characteristic
62	#17986508	C₂²	1	1	yes	characteristic
63	C₄×#11765865	C₂²	1	1	yes	characteristic
64	C₄×#11765864	C₂²	1	1	yes	characteristic
65	C₂×C₄×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
66	C₂×C₄×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
67	C₄×D₄×D₇₁	C₂²	1	1	yes	characteristic
68	#17986128	C₂²	1	1	yes	characteristic, complemented
69	#17986128	C₂²	1	1	yes	characteristic, complemented
70	#17986127	C₂²	1	1	yes	characteristic, complemented
71	#17986127	C₂²	1	1	yes	characteristic, complemented
72	#17986127	C₂²	1	1	yes	characteristic, complemented
73	#17986127	C₂²	1	1	yes	characteristic, complemented
74	#17986123	C₂²	1	1	yes	characteristic, complemented
75	#17986123	C₂²	1	1	yes	characteristic, complemented
76	#17986077	C₂²	1	1	yes	characteristic, complemented
77	#17986077	C₂²	1	1	yes	characteristic, complemented
78	#17986076	C₂²	1	1	yes	characteristic, complemented
79	#17986076	C₂²	1	1	yes	characteristic, complemented
80	#17986075	C₂²	1	1	yes	characteristic, complemented
81	#17986075	C₂²	1	1	yes	characteristic, complemented
82	#17986075	C₂²	1	1	yes	characteristic, complemented
83	#17986075	C₂²	1	1	yes	characteristic, complemented
84	#17986075	C₂²	1	1	yes	characteristic, complemented
85	#17986075	C₂²	1	1	yes	characteristic, complemented
86	#17986074	C₂²	1	1	yes	characteristic
87	#17986074	C₂²	1	1	yes	characteristic
88	#17986074	C₂²	1	1	yes	characteristic
89	#17986074	C₂²	1	1	yes	characteristic
90	#17986074	C₂²	1	1	yes	characteristic, complemented
91	#17986074	C₂²	1	1	yes	characteristic, complemented
92	#17986074	C₂²	1	1	yes	characteristic, complemented
93	#17986074	C₂²	1	1	yes	characteristic, complemented
94	#17986074	C₂²	1	1	yes	characteristic, complemented
95	#17986074	C₂²	1	1	yes	characteristic, complemented
96	#17986074	C₂²	1	1	yes	characteristic, complemented
97	#17986074	C₂²	1	1	yes	characteristic, complemented
98	#17986074	C₂²	1	1	yes	characteristic, complemented
99	#17986074	C₂²	1	1	yes	characteristic, complemented
100	#17986074	C₂²	1	1	yes	characteristic, complemented
101	#17986074	C₂²	1	1	yes	characteristic, complemented
102	#17986073	C₂²	1	1	yes	characteristic, complemented
103	#17986073	C₂²	1	1	yes	characteristic, complemented
104	#17986073	C₂²	1	1	yes	characteristic, complemented
105	#17986073	C₂²	1	1	yes	characteristic, complemented
106	#17986073	C₂²	1	1	yes	characteristic, complemented
107	#17986073	C₂²	1	1	yes	characteristic, complemented
108	#17986073	C₂²	1	1	yes	characteristic, complemented
109	#17986073	C₂²	1	1	yes	characteristic, complemented
110	#17986072	C₂²	1	1	yes	characteristic, complemented
111	#17986072	C₂²	1	1	yes	characteristic, complemented
112	#17986072	C₂²	1	1	yes	characteristic, complemented
113	#17986072	C₂²	1	1	yes	characteristic, complemented
114	#17986071	C₂²	1	1	yes	characteristic
115	#17986071	C₂²	1	1	yes	characteristic
116	#17986071	C₂²	1	1	yes	characteristic, complemented
117	#17986071	C₂²	1	1	yes	characteristic, complemented
118	#17986070	C₂²	1	1	yes	characteristic, complemented
119	#17986070	C₂²	1	1	yes	characteristic, complemented
120	#17986070	C₂²	1	1	yes	characteristic, complemented
121	#17986070	C₂²	1	1	yes	characteristic, complemented
122	#17986069	C₂²	1	1	yes	characteristic, complemented
123	#17986069	C₂²	1	1	yes	characteristic, complemented
124	#17986068	C₂²	1	1	yes	characteristic, complemented
125	#17986068	C₂²	1	1	yes	characteristic, complemented
126	#17986067	C₂²	1	1	yes	characteristic, complemented
127	#17986067	C₂²	1	1	yes	characteristic, complemented
128	#17986067	C₂²	1	1	yes	characteristic, complemented
129	#17986067	C₂²	1	1	yes	characteristic, complemented
130	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
131	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
132	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
133	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
134	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
135	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
136	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
138	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
139	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
140	#17986061	C₂²	1	1	yes	characteristic, complemented
141	#17986061	C₂²	1	1	yes	characteristic, complemented
142	#17986059	C₂²	1	1	yes	characteristic, complemented
143	#17986059	C₂²	1	1	yes	characteristic, complemented
144	#17986057	C₂²	1	1	yes	characteristic, complemented
145	#17986057	C₂²	1	1	yes	characteristic, complemented
146	#17986057	C₂²	1	1	yes	characteristic, complemented
147	#17986057	C₂²	1	1	yes	characteristic, complemented
148	#17986055	C₂²	1	1	yes	characteristic, complemented
149	#17986054	C₂²	1	1	yes	characteristic, complemented
150	#17986054	C₂²	1	1	yes	characteristic, complemented
151	#17986053	C₂²	1	1	yes	characteristic, complemented
152	#17986051	C₂²	1	1	yes	characteristic, complemented
153	#17986049	C₂²	1	1	yes	characteristic, complemented
154	#17986049	C₂²	1	1	yes	characteristic, complemented
155	#17986049	C₂²	1	1	yes	characteristic, complemented
156	#17986027	C₂²	1	1	yes	characteristic, complemented
157	#17986025	C₂²	1	1	yes	characteristic, complemented
158	#17986024	C₂²	1	1	yes	characteristic, complemented
159	#17986024	C₂²	1	1	yes	characteristic, complemented
160	#17986023	C₂²	1	1	yes	characteristic, complemented
161	#17986022	C₂²	1	1	yes	characteristic, complemented
162	#17986021	C₂²	1	1	yes	characteristic, complemented
163	C₂×Dic₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
164	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
165	#17985967	C₂²	1	1	yes	characteristic, complemented
166	#17985965	C₂²	1	1	yes	characteristic, complemented
167	#17985964	C₂²	1	1	yes	characteristic, complemented
168	#17985964	C₂²	1	1	yes	characteristic, complemented
169	#17985964	C₂²	1	1	yes	characteristic, complemented
170	#17985964	C₂²	1	1	yes	characteristic, complemented
171	#17985963	C₂²	1	1	yes	characteristic, complemented
172	#17985963	C₂²	1	1	yes	characteristic, complemented
173	#17985962	C₂²	1	1	yes	characteristic, complemented
174	#17985961	C₂²	1	1	yes	characteristic, complemented
175	#17985961	C₂²	1	1	yes	characteristic, complemented
176	#17985961	C₂²	1	1	yes	characteristic, complemented
177	C₂×(C₂×D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	C₂²⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
179	#17985957	C₂²	1	1	yes	characteristic, complemented
180	#17985956	C₂²	1	1	yes	characteristic, complemented
181	#17985956	C₂²	1	1	yes	characteristic, complemented
182	#17985954	C₂²	1	1	yes	characteristic, complemented
183	C₄×#11765849	C₂²	1	1	yes	characteristic, complemented
184	#17985951	C₂²	1	1	yes	characteristic, complemented
185	#17985951	C₂²	1	1	yes	characteristic, complemented
186	M₁₆×Dic₇₁	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₈×Dic₇₁	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₄×D₄×C₇₁	C₂²	1	1	yes	characteristic
189	#435×C₇₁	C₂²	1	1	yes	characteristic
190	#435×C₇₁	C₂²	1	1	yes	characteristic
191	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
192	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
193	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
194	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
195	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
196	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
197	#432×C₇₁	C₂²	1	1	yes	characteristic, complemented
198	#432×C₇₁	C₂²	1	1	yes	characteristic, complemented
199	#407×C₇₁	C₂²	1	1	yes	characteristic, complemented
200	#407×C₇₁	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₈×C₇₁	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂²⋊C₈×C₇₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11765865	C₂×C₄	1	1	yes	characteristic
204	C₂×#11765865	C₂³	1	1	yes	characteristic
205	C₂×#11765865	C₂³	1	1	yes	characteristic
206	C₂×#11765864	C₂×C₄	1	1	yes	characteristic
207	C₂²×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
208	C₂²×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
209	C₂×D₄×D₇₁	C₂×C₄	1	1	yes	characteristic
210	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
212	#14556136	—	4	2	no	—
213	#14556134	—	4	2	no	—
214	C₂×#11765849	—	4	2	no	—
215	C₂×#11765849	—	4	2	no	—
216	C₂×#11765849	C₂³	1	1	yes	characteristic
217	C₂×#11765849	C₂³	1	1	yes	characteristic
218	C₂×#11765849	C₂³	1	1	yes	characteristic
219	C₂×#11765849	C₂³	1	1	yes	characteristic
220	C₂×#11765849	C₂³	1	1	yes	characteristic
221	C₂×#11765849	C₂³	1	1	yes	characteristic
222	C₂×#11765849	C₂³	1	1	yes	characteristic
223	C₂×#11765849	C₂³	1	1	yes	characteristic
224	C₂×#11765848	—	4	2	no	—
225	C₂×#11765848	C₂³	1	1	yes	characteristic
226	C₂×#11765848	C₂³	1	1	yes	characteristic
227	C₂×#11765848	C₂³	1	1	yes	characteristic
228	C₂×#11765848	C₂³	1	1	yes	characteristic
229	C₂×#11765848	C₂³	1	1	yes	characteristic
230	C₂×#11765848	C₂³	1	1	yes	characteristic
231	C₂×#11765848	C₂³	1	1	yes	characteristic
232	C₂×#11765848	C₂³	1	1	yes	characteristic
233	C₂×#11765848	C₂³	1	1	yes	characteristic
234	C₂×#11765848	C₂³	1	1	yes	characteristic
235	M₁₆×D₇₁	—	4	2	no	—
236	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
237	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
238	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
239	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
240	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
241	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
242	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
243	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
244	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
245	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
246	#14556127	C₂×C₄	1	1	yes	characteristic
247	#14556124	C₂×C₄	1	1	yes	characteristic
248	#14556123	C₂×C₄	1	1	yes	characteristic
249	#14556123	C₂×C₄	1	1	yes	characteristic
250	#14556122	C₂×C₄	1	1	yes	characteristic
251	#14556122	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	#14556118	C₂×C₄	1	1	yes	characteristic
259	#14556118	C₂×C₄	1	1	yes	characteristic
260	#14556116	C₂×C₄	1	1	yes	characteristic
261	#14556115	C₂×C₄	1	1	yes	characteristic
262	#14556114	C₂×C₄	1	1	yes	characteristic
263	#14556114	C₂×C₄	1	1	yes	characteristic
264	#14556114	C₂×C₄	1	1	yes	characteristic
265	#14556114	C₂×C₄	1	1	yes	characteristic
266	#14556113	C₂×C₄	1	1	yes	characteristic
267	#14556113	C₂×C₄	1	1	yes	characteristic
268	#14556112	C₂×C₄	1	1	yes	characteristic
269	#14556112	C₂×C₄	1	1	yes	characteristic
270	#14556111	C₂×C₄	1	1	yes	characteristic
271	#14556111	C₂×C₄	1	1	yes	characteristic
272	#14556111	C₂×C₄	1	1	yes	characteristic
273	#14556111	C₂×C₄	1	1	yes	characteristic
274	#14556111	C₂×C₄	1	1	yes	characteristic
275	#14556111	C₂×C₄	1	1	yes	characteristic
276	#14556110	C₂×C₄	1	1	yes	characteristic
277	#14556110	C₂×C₄	1	1	yes	characteristic
278	#14556110	C₂×C₄	1	1	yes	characteristic
279	#14556110	C₂×C₄	1	1	yes	characteristic
280	#14556109	C₂×C₄	1	1	yes	characteristic
281	#14556109	C₂×C₄	1	1	yes	characteristic
282	#14556108	C₂×C₄	1	1	yes	characteristic
283	#14556107	C₂×C₄	1	1	yes	characteristic
284	#14556107	C₂×C₄	1	1	yes	characteristic
285	#14556107	C₂×C₄	1	1	yes	characteristic
286	#14556107	C₂×C₄	1	1	yes	characteristic
287	#14556107	C₂×C₄	1	1	yes	characteristic
288	#14556106	C₂×C₄	1	1	yes	characteristic
289	#14556106	C₂×C₄	1	1	yes	characteristic
290	#14556105	C₂×C₄	1	1	yes	characteristic
291	#14556105	C₂×C₄	1	1	yes	characteristic
292	#14556105	C₂×C₄	1	1	yes	characteristic
293	#14556105	C₂×C₄	1	1	yes	characteristic
294	#14556103	C₂×C₄	1	1	yes	characteristic
295	#14556102	C₂×C₄	1	1	yes	characteristic
296	#14556102	C₂×C₄	1	1	yes	characteristic
297	#14556102	C₂×C₄	1	1	yes	characteristic
298	#14556102	C₂×C₄	1	1	yes	characteristic
299	#14556102	C₂×C₄	1	1	yes	characteristic
300	#14556101	C₂×C₄	1	1	yes	characteristic
301	#14556101	C₂×C₄	1	1	yes	characteristic
302	#14556101	C₂×C₄	1	1	yes	characteristic
303	#14556101	C₂×C₄	1	1	yes	characteristic
304	#14556100	C₂×C₄	1	1	yes	characteristic
305	#14556100	C₂×C₄	1	1	yes	characteristic
306	#14556100	C₂×C₄	1	1	yes	characteristic
307	#14556100	C₂×C₄	1	1	yes	characteristic
308	#14556099	C₂×C₄	1	1	yes	characteristic
309	#14556099	C₂×C₄	1	1	yes	characteristic
310	#14556098	C₂×C₄	1	1	yes	characteristic
311	#14556098	C₂×C₄	1	1	yes	characteristic
312	#14556097	C₂×C₄	1	1	yes	characteristic
313	#14556097	C₂×C₄	1	1	yes	characteristic
314	#14556097	C₂×C₄	1	1	yes	characteristic
315	#14556097	C₂×C₄	1	1	yes	characteristic
316	#14556096	C₂×C₄	1	1	yes	characteristic
317	#14556096	C₂×C₄	1	1	yes	characteristic
318	C₄×Dic₁₄₂	C₂×C₄	1	1	yes	characteristic
319	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
320	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
321	#14556093	C₂×C₄	1	1	yes	characteristic
322	C₄×D₂₈₄	C₂×C₄	1	1	yes	characteristic
323	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
324	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
325	D₄×Dic₇₁	C₂×C₄	1	1	yes	characteristic
326	D₄×Dic₇₁	C₂×C₄	1	1	yes	characteristic
327	#14556090	C₂×C₄	1	1	yes	characteristic
328	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
329	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
330	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
331	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
332	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
333	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
334	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
335	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
336	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
337	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
338	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
339	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
340	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
341	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
342	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
343	C₄×C₂²⋊D₇₁	C₂³	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	C₂×C₄	1	1	yes	characteristic
355	#14556087	C₂³	1	1	yes	characteristic
356	#14556087	C₂³	1	1	yes	characteristic
357	#14556086	C₂×C₄	1	1	yes	characteristic
358	#14556085	C₂×C₄	1	1	yes	characteristic
359	#14556085	C₂×C₄	1	1	yes	characteristic
360	#14556085	C₂³	1	1	yes	characteristic
361	#14556085	C₂³	1	1	yes	characteristic
362	#14556084	C₂×C₄	1	1	yes	characteristic
363	#14556084	C₂×C₄	1	1	yes	characteristic
364	C₂×Dic₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
365	C₂×Dic₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
366	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
367	C₂×C₂²⋊Dic₇₁	C₂×C₄	1	1	yes	characteristic
368	C₂×C₂²⋊Dic₇₁	C₂×C₄	1	1	yes	characteristic
369	C₂×(C₂×D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
370	C₂×(C₂×D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
371	C₂²⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
372	C₂²⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
373	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
374	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
375	C₄²×D₇₁	C₂³	1	1	yes	characteristic
376	C₄²×D₇₁	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	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
382	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
383	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
384	Dic₇₁⋊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	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
398	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
399	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
400	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
401	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
402	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
403	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
404	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
405	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
406	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
407	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
408	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
409	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
410	(C₂×D₇₁)⋊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	#14556039	C₂³	1	1	yes	characteristic
422	#14556039	C₂³	1	1	yes	characteristic
423	#14556038	C₂³	1	1	yes	characteristic
424	#14556038	C₂³	1	1	yes	characteristic
425	#14556038	C₂³	1	1	yes	characteristic
426	#14556038	C₂³	1	1	yes	characteristic
427	#14556038	C₂³	1	1	yes	characteristic
428	#14556038	C₂³	1	1	yes	characteristic
429	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
430	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
431	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
432	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
433	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
434	C₈×Dic₇₁	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	C₂²×D₄×C₇₁	C₂×C₄	1	1	yes	characteristic
442	C₂³×C₄×C₇₁	C₂³	1	1	yes	characteristic
443	C₂³×C₄×C₇₁	C₂³	1	1	yes	characteristic
444	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
445	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
446	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
447	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
448	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
449	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
450	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
451	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
452	C₄×D₄×C₇₁	C₂×C₄	1	1	yes	characteristic
453	C₄×D₄×C₇₁	C₂×C₄	1	1	yes	characteristic
454	C₄×D₄×C₇₁	C₂×C₄	1	1	yes	characteristic
455	C₄×D₄×C₇₁	C₂×C₄	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	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
460	C₂×C₄⋊C₄×C₇₁	C₂×C₄	1	1	yes	characteristic
461	C₂×C₂²⋊C₄×C₇₁	C₂×C₄	1	1	yes	characteristic
462	C₂×C₂²⋊C₄×C₇₁	C₂×C₄	1	1	yes	characteristic
463	C₂×C₄²×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	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
471	C₂²⋊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	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
479	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
480	#97×C₇₁	C₂³	1	1	yes	characteristic
481	#97×C₇₁	C₂³	1	1	yes	characteristic
482	#97×C₇₁	C₂³	1	1	yes	characteristic
483	#97×C₇₁	C₂³	1	1	yes	characteristic
484	C₂³×D₇₁	C₂²×C₄	1	1	yes	characteristic
485	C₂³×D₇₁	C₂²×C₄	1	1	yes	characteristic
486	#11765865	—	4	2	no	—
487	#11765865	—	4	1	no	—
488	#11765865	—	4	1	no	—
489	#11765865	—	4	1	no	—
490	#11765865	—	4	1	no	—
491	#11765864	—	4	2	no	—
492	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
493	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
494	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
495	C₂×Dic₁₄₂	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×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₂²⋊D₇₁	—	4	2	no	—
501	C₂×C₂²⋊D₇₁	—	4	2	no	—
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	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
514	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
518	D₄×D₇₁	—	4	2	no	—
519	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
520	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
521	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
522	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
523	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
524	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₄×D₇₁	—	4	1	no	—
526	C₂×C₄×D₇₁	—	4	1	no	—
527	C₂×C₄×D₇₁	—	4	1	no	—
528	C₂×C₄×D₇₁	—	4	1	no	—
529	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
539	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
540	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
541	#11765849	—	2	2	no	—
542	#11765849	—	2	2	no	—
543	#11765849	—	2	2	no	—
544	#11765849	—	4	1	no	—
545	#11765849	—	4	1	no	—
546	#11765849	—	4	1	no	—
547	#11765849	—	4	1	no	—
548	#11765849	—	4	1	no	—
549	#11765848	—	2	2	no	—
550	#11765848	—	2	2	no	—
551	#11765848	—	2	2	no	—
552	#11765848	—	4	1	no	—
553	#11765848	—	4	1	no	—
554	#11765848	—	4	1	no	—
555	#11765848	—	4	1	no	—
556	#11765848	—	4	1	no	—
557	#11765848	—	4	1	no	—
558	#11765848	—	4	1	no	—
559	C₂×C₇₁⋊C₈	—	2	2	no	—
560	C₂×C₇₁⋊C₈	—	2	2	no	—
561	C₂×C₇₁⋊C₈	—	4	1	no	—
562	C₂×C₇₁⋊C₈	—	4	1	no	—
563	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
565	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
566	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
571	C₈×D₇₁	—	2	2	no	—
572	C₈×D₇₁	—	4	1	no	—
573	C₈×D₇₁	—	4	1	no	—
574	C₈×D₇₁	—	4	1	no	—
575	C₈×D₇₁	—	4	1	no	—
576	C₈×D₇₁	—	4	1	no	—
577	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
578	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
579	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
580	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
581	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
582	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
583	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
584	C₄⋊Dic₇₁	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	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
606	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
607	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
608	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
609	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
610	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
611	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
612	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
613	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
614	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
615	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
616	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
617	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊Dic₇₁	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	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
642	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
643	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
644	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
645	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
646	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
647	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
648	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
649	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
650	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
651	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
652	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
653	C₂⁴×C₇₁	C₂²×C₄	1	1	yes	characteristic
654	C₂⁴×C₇₁	C₂²×C₄	1	1	yes	characteristic
655	C₂×D₄×C₇₁	—	4	2	no	—
656	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
657	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
658	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
659	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
660	C₂²×C₄×C₇₁	—	4	1	no	—
661	C₂²×C₄×C₇₁	—	4	1	no	—
662	C₂²×C₄×C₇₁	—	4	1	no	—
663	C₂²×C₄×C₇₁	—	4	1	no	—
664	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
665	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
666	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
667	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
668	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
669	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
670	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
671	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
672	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
673	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
674	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
675	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
677	M₁₆×C₇₁	—	4	1	no	—
678	M₁₆×C₇₁	—	4	1	no	—
679	M₁₆×C₇₁	—	4	1	no	—
680	M₁₆×C₇₁	—	4	1	no	—
681	C₂×C₈×C₇₁	—	4	1	no	—
682	C₂×C₈×C₇₁	—	4	1	no	—
683	C₂×C₈×C₇₁	—	4	1	no	—
684	C₂×C₈×C₇₁	—	4	1	no	—
685	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
686	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
687	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
688	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
689	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
690	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
691	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
692	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
693	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
694	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
695	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
696	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
699	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
700	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
701	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
702	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
703	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
704	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
705	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
706	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
707	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
708	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
709	C₂³×C₇₁	—	2	2	no	—
710	C₂³×C₇₁	—	4	1	no	—
711	C₂³×C₇₁	—	4	1	no	—
712	C₂³×C₇₁	—	4	1	no	—
713	C₂³×C₇₁	—	4	1	no	—
714	C₂³×C₇₁	—	4	1	no	—
715	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
716	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
717	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
718	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
719	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
720	C₂²×D₇₁	—	2	2	no	—
721	C₂²×D₇₁	—	4	1	no	—
722	C₂²×D₇₁	—	4	1	no	—
723	C₂²×D₇₁	—	4	1	no	—
724	C₂²×D₇₁	—	4	1	no	—
725	C₂²×D₇₁	—	4	1	no	—
726	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
727	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
728	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
729	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
730	D₄×C₇₁	—	2	2	no	—
731	D₄×C₇₁	—	2	2	no	—
732	D₄×C₇₁	—	4	1	no	—
733	D₄×C₇₁	—	4	1	no	—
734	C₂×C₄×C₇₁	—	2	1	no	—
735	C₂×C₄×C₇₁	—	2	1	no	—
736	C₂×C₄×C₇₁	—	2	1	no	—
737	C₂×C₄×C₇₁	—	2	1	no	—
738	C₂×C₄×C₇₁	—	2	1	no	—
739	C₂×C₄×C₇₁	—	2	1	no	—
740	C₂×C₄×C₇₁	—	2	1	no	—
741	C₂×C₄×C₇₁	—	2	1	no	—
742	C₂×C₄×C₇₁	—	2	1	no	—
743	C₂×C₄×C₇₁	—	2	1	no	—
744	C₂×C₄×C₇₁	—	4	1	no	—
745	C₂×C₄×C₇₁	—	4	1	no	—
746	C₂×C₄×C₇₁	—	4	1	no	—
747	C₂×C₄×C₇₁	—	4	1	no	—
748	C₂×C₄×C₇₁	—	4	1	no	—
749	C₂×C₄×C₇₁	—	4	1	no	—
750	C₂×C₄×C₇₁	—	4	1	no	—
751	C₂×C₄×C₇₁	—	4	1	no	—
752	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
753	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
754	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
755	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
756	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
757	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
758	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
759	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
760	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
761	C₂×C₄×C₇₁	C₂⁵	1	1	yes	characteristic
762	C₂²⋊D₇₁	—	2	2	no	—
763	C₂²⋊D₇₁	—	2	2	no	—
764	C₂²⋊D₇₁	—	2	2	no	—
765	C₂²⋊D₇₁	—	2	2	no	—
766	C₂²⋊D₇₁	—	2	2	no	—
767	C₂²⋊D₇₁	—	4	1	no	—
768	C₂²⋊D₇₁	—	4	1	no	—
769	C₂²⋊D₇₁	—	4	1	no	—
770	C₂²⋊D₇₁	—	4	1	no	—
771	C₂²⋊D₇₁	—	4	1	no	—
772	C₂²⋊D₇₁	—	4	1	no	—
773	C₂²⋊D₇₁	—	4	1	no	—
774	C₂²⋊D₇₁	—	4	1	no	—
775	C₂²⋊D₇₁	—	4	1	no	—
776	C₂²⋊D₇₁	—	4	1	no	—
777	C₂²⋊D₇₁	—	4	1	no	—
778	C₂×Dic₇₁	—	2	2	no	—
779	C₂×Dic₇₁	—	2	2	no	—
780	C₂×Dic₇₁	—	2	2	no	—
781	C₂×Dic₇₁	—	4	1	no	—
782	C₂×Dic₇₁	—	4	1	no	—
783	C₂×Dic₇₁	—	4	1	no	—
784	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
785	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
786	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
787	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
788	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
789	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
790	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
791	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
792	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
793	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
794	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
795	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
796	D₂₈₄	—	4	1	no	—
797	D₂₈₄	—	4	1	no	—
798	D₂₈₄	—	4	1	no	—
799	D₂₈₄	—	4	1	no	—
800	C₄×D₇₁	—	2	1	no	—
801	C₄×D₇₁	—	2	1	no	—
802	C₄×D₇₁	—	2	1	no	—
803	C₄×D₇₁	—	2	1	no	—
804	C₄×D₇₁	—	2	1	no	—
805	C₄×D₇₁	—	2	1	no	—
806	C₄×D₇₁	—	2	1	no	—
807	C₄×D₇₁	—	2	1	no	—
808	C₄×D₇₁	—	2	2	no	—
809	C₄×D₇₁	—	4	1	no	—
810	C₄×D₇₁	—	4	1	no	—
811	C₄×D₇₁	—	4	1	no	—
812	C₄×D₇₁	—	4	1	no	—
813	C₄×D₇₁	—	4	1	no	—
814	C₄×D₇₁	—	4	1	no	—
815	C₄×D₇₁	—	4	1	no	—
816	Dic₁₄₂	—	2	2	no	—
817	Dic₁₄₂	—	4	1	no	—
818	Dic₁₄₂	—	4	1	no	—
819	Dic₁₄₂	—	4	1	no	—
820	C₈×C₇₁	—	2	1	no	—
821	C₈×C₇₁	—	2	1	no	—
822	C₈×C₇₁	—	2	1	no	—
823	C₈×C₇₁	—	2	1	no	—
824	C₈×C₇₁	—	2	1	no	—
825	C₈×C₇₁	—	2	1	no	—
826	C₈×C₇₁	—	2	1	no	—
827	C₈×C₇₁	—	2	1	no	—
828	C₇₁⋊C₈	—	2	1	no	—
829	C₇₁⋊C₈	—	2	1	no	—
830	C₇₁⋊C₈	—	2	1	no	—
831	C₇₁⋊C₈	—	2	1	no	—
832	C₇₁⋊C₈	—	2	1	no	—
833	C₇₁⋊C₈	—	2	1	no	—
834	C₇₁⋊C₈	—	2	1	no	—
835	C₇₁⋊C₈	H(5,𝔽₂)	1	2	yes	—
836	C₂²×C₇₁	—	2	1	no	—
837	C₂²×C₇₁	—	2	1	no	—
838	C₂²×C₇₁	—	2	1	no	—
839	C₂²×C₇₁	—	2	1	no	—
840	C₂²×C₇₁	—	2	1	no	—
841	C₂²×C₇₁	—	2	1	no	—
842	C₂²×C₇₁	—	2	1	no	—
843	C₂²×C₇₁	—	2	1	no	—
844	C₂²×C₇₁	—	2	1	no	—
845	C₂²×C₇₁	—	2	1	no	—
846	C₂²×C₇₁	—	2	1	no	—
847	C₂²×C₇₁	—	2	1	no	—
848	C₂²×C₇₁	—	2	1	no	—
849	C₂²×C₇₁	—	2	1	no	—
850	C₂²×C₇₁	—	8	2	no	—
851	C₂²×C₇₁	—	8	2	no	—
852	C₂²×C₇₁	#568	1	2	yes	—
853	C₂²×C₇₁	C₂⁴×C₄	1	1	yes	characteristic
854	C₂×D₇₁	—	2	1	no	—
855	C₂×D₇₁	—	2	1	no	—
856	C₂×D₇₁	—	2	1	no	—
857	C₂×D₇₁	—	2	1	no	—
858	C₂×D₇₁	—	2	1	no	—
859	C₂×D₇₁	—	2	1	no	—
860	C₂×D₇₁	—	2	1	no	—
861	C₂×D₇₁	—	2	1	no	—
862	C₂×D₇₁	—	2	1	no	—
863	C₂×D₇₁	—	2	1	no	—
864	C₂×D₇₁	—	2	1	no	—
865	C₂×D₇₁	—	2	1	no	—
866	C₂×D₇₁	—	8	2	no	—
867	C₂×D₇₁	—	8	2	no	—
868	C₄×C₇₁	—	2	1	no	—
869	C₄×C₇₁	—	2	1	no	—
870	C₄×C₇₁	—	2	1	no	—
871	C₄×C₇₁	—	2	1	no	—
872	C₄×C₇₁	—	2	1	no	—
873	C₄×C₇₁	—	2	1	no	—
874	C₄×C₇₁	—	2	1	no	—
875	C₄×C₇₁	—	2	1	no	—
876	C₄×C₇₁	—	2	1	no	—
877	C₄×C₇₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
878	C₄×C₇₁	#585	1	1	yes	characteristic
879	Dic₇₁	—	2	1	no	—
880	Dic₇₁	—	2	1	no	—
881	Dic₇₁	—	2	1	no	—
882	Dic₇₁	—	2	1	no	—
883	Dic₇₁	—	2	1	no	—
884	Dic₇₁	—	2	1	no	—
885	Dic₇₁	—	2	1	no	—
886	Dic₇₁	—	2	1	no	—
887	Dic₇₁	—	2	1	no	—
888	Dic₇₁	—	2	1	no	—
889	Dic₇₁	—	2	1	no	—
890	Dic₇₁	#568	1	2	yes	—
891	#60324	—	71	1	no	maximal, Sylow
892	C₂×C₇₁	—	2	2	no	—
893	C₂×C₇₁	—	4	1	no	—
894	C₂×C₇₁	—	4	1	no	—
895	C₂×C₇₁	—	4	1	no	—
896	C₂×C₇₁	—	4	1	no	—
897	C₂×C₇₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
898	C₂×C₇₁	C₂×#568	1	1	yes	characteristic
899	C₂×C₇₁	C₂×#568	1	1	yes	characteristic
900	D₇₁	—	4	1	no	—
901	D₇₁	—	4	1	no	—
902	D₇₁	—	4	1	no	—
903	D₇₁	—	4	1	no	—
904	#3481	—	71	1	no	—
905	#2995	—	71	1	no	—
906	#2995	—	71	1	no	—
907	#2994	—	71	1	no	—
908	#2993	—	71	1	no	—
909	#2990	—	71	1	no	—
910	#2989	—	71	1	no	—
911	#2981	—	71	1	no	—
912	#2978	—	71	1	no	—
913	#2978	—	71	1	no	—
914	#2976	—	71	1	no	—
915	#2976	—	71	1	no	—
916	#2975	—	71	1	no	—
917	#2974	—	71	1	no	—
918	#2973	—	71	1	no	—
919	#2973	D₇₁	1	1	yes	characteristic, complemented
920	#2971	—	71	1	no	—
921	#2969	—	71	1	no	—
922	#2967	—	71	1	no	—
923	#2967	—	71	1	no	—
924	#2966	—	71	1	no	—
925	#2965	—	71	1	no	—
926	#2935	—	71	1	no	—
927	D₄×M₁₆	—	71	1	no	—
928	D₄×M₁₆	—	71	1	no	—
929	D₄×M₁₆	—	71	1	no	—
930	#2933	—	71	1	no	—
931	#2933	—	71	1	no	—
932	#2930	—	71	1	no	—
933	#2930	—	71	1	no	—
934	C₂×#436	—	71	1	no	—
935	C₇₁	#60324	1	1	yes	characteristic, complemented, Sylow
936	C₂×#131	—	71	1	no	—
937	C₂×#131	—	71	1	no	—
938	C₂²×M₁₆	—	71	1	no	—
939	C₂²×M₁₆	—	71	1	no	—
940	C₂²×M₁₆	—	71	1	no	—
941	C₂²×M₁₆	—	71	1	no	—
942	#559	—	71	1	no	—
943	#554	—	71	1	no	—
944	#554	—	71	1	no	—
945	#553	—	71	1	no	—
946	#553	—	71	1	no	—
947	#553	—	71	1	no	—
948	#553	—	71	1	no	—
949	#551	—	71	1	no	—
950	#551	—	71	1	no	—
951	#551	—	71	1	no	—
952	#551	—	71	1	no	—
953	#546	—	71	1	no	—
954	#546	—	71	1	no	—
955	#546	—	71	1	no	—
956	#546	—	71	1	no	—
957	D₄²	—	71	1	no	—
958	#532	—	71	1	no	—
959	#529	—	71	1	no	—
960	#529	—	71	1	no	—
961	#529	—	71	1	no	—
962	#529	—	71	1	no	—
963	#525	—	71	1	no	—
964	#525	—	71	1	no	—
965	#525	—	71	1	no	—
966	#525	—	71	1	no	—
967	C₄×#41	—	71	1	no	—
968	C₄×#41	—	71	1	no	—
969	C₂×C₄×D₄	—	71	1	no	—
970	C₂×C₄×D₄	—	71	1	no	—
971	C₂×C₄×D₄	—	71	1	no	—
972	C₂×C₄×D₄	C₂×D₇₁	1	1	yes	characteristic
973	#446	—	71	1	no	—
974	#446	—	71	1	no	—
975	#446	—	71	1	no	—
976	#446	—	71	1	no	—
977	#446	—	71	1	no	—
978	#446	—	71	1	no	—
979	C₈×Q₈	—	71	1	no	—
980	C₈×Q₈	—	71	1	no	—
981	#436	—	71	1	no	—
982	#436	—	71	1	no	—
983	#436	—	71	1	no	—
984	#436	—	71	1	no	—
985	#436	—	71	1	no	—
986	#436	—	71	1	no	—
987	#436	—	71	1	no	—
988	#436	—	71	1	no	—
989	#436	—	71	1	no	—
990	#436	—	71	1	no	—
991	#436	—	71	1	no	—
992	#436	—	71	1	no	—
993	#436	—	71	1	no	—
994	#436	—	71	1	no	—
995	#436	—	71	1	no	—
996	#436	—	71	1	no	—
997	#436	—	71	1	no	—
998	#436	—	71	1	no	—
999	#436	—	71	1	no	—
1000	#436	—	71	1	no	—
1001	#436	—	71	1	no	—
1002	#436	—	71	1	no	—
1003	#436	—	71	1	no	—
1004	#436	—	71	1	no	—
1005	#436	—	71	1	no	—
1006	#436	—	71	1	no	—
1007	#435	—	71	1	no	—
1008	#435	—	71	1	no	—
1009	#435	—	71	1	no	—
1010	#435	—	71	1	no	—
1011	#435	—	71	1	no	—
1012	#435	—	71	1	no	—
1013	#435	—	71	1	no	—
1014	#435	—	71	1	no	—
1015	#435	—	71	1	no	—
1016	#435	—	71	1	no	—
1017	#435	—	71	1	no	—
1018	#435	—	71	1	no	—
1019	#435	—	71	1	no	—
1020	#435	—	71	1	no	—
1021	#435	—	71	1	no	—
1022	#435	—	71	1	no	—
1023	#435	—	71	1	no	—
1024	#435	—	71	1	no	—
1025	#435	—	71	1	no	—
1026	#435	—	71	1	no	—
1027	#435	—	71	1	no	—
1028	#435	—	71	1	no	—
1029	#435	—	71	1	no	—
1030	#435	—	71	1	no	—
1031	#435	—	71	1	no	—
1032	#435	—	71	1	no	—
1033	#435	—	71	1	no	—
1034	#435	—	71	1	no	—
1035	#435	C₂×D₇₁	1	1	yes	characteristic
1036	#435	C₂×D₇₁	1	1	yes	characteristic
1037	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1038	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1039	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1040	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1041	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1042	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1043	C₈×D₄	—	71	1	no	—
1044	C₈×D₄	—	71	1	no	—
1045	C₈×D₄	—	71	1	no	—
1046	C₈×D₄	—	71	1	no	—
1047	C₈×D₄	—	71	1	no	—
1048	C₈×D₄	—	71	1	no	—
1049	C₈×D₄	—	71	1	no	—
1050	C₈×D₄	—	71	1	no	—
1051	C₈×D₄	—	71	1	no	—
1052	C₈×D₄	—	71	1	no	—
1053	#433	—	71	1	no	—
1054	#433	—	71	1	no	—
1055	#433	—	71	1	no	—
1056	#433	—	71	1	no	—
1057	#433	—	71	1	no	—
1058	#433	—	71	1	no	—
1059	#433	—	71	1	no	—
1060	#433	—	71	1	no	—
1061	#432	—	71	1	no	—
1062	#432	—	71	1	no	—
1063	#432	—	71	1	no	—
1064	#432	—	71	1	no	—
1065	#432	C₂×D₇₁	1	1	yes	characteristic, complemented
1066	#432	C₂×D₇₁	1	1	yes	characteristic, complemented
1067	#431	—	71	1	no	—
1068	#431	—	71	1	no	—
1069	#431	—	71	1	no	—
1070	#431	—	71	1	no	—
1071	#424	—	71	1	no	—
1072	#424	—	71	1	no	—
1073	#424	—	71	1	no	—
1074	#424	—	71	1	no	—
1075	#423	—	71	1	no	—
1076	#423	—	71	1	no	—
1077	#423	—	71	1	no	—
1078	C₂×C₄⋊C₈	—	71	1	no	—
1079	C₂×C₄⋊C₈	—	71	1	no	—
1080	#408	—	71	1	no	—
1081	#408	—	71	1	no	—
1082	#408	—	71	1	no	—
1083	#408	—	71	1	no	—
1084	#408	—	71	1	no	—
1085	#408	—	71	1	no	—
1086	#407	—	71	1	no	—
1087	#407	—	71	1	no	—
1088	#407	—	71	1	no	—
1089	#407	—	71	1	no	—
1090	#407	—	71	1	no	—
1091	#407	—	71	1	no	—
1092	#407	C₂×D₇₁	1	1	yes	characteristic, complemented
1093	#407	C₂×D₇₁	1	1	yes	characteristic, complemented
1094	C₂×C₂²⋊C₈	—	71	1	no	—
1095	C₂×C₂²⋊C₈	—	71	1	no	—
1096	C₂×C₂²⋊C₈	C₂×D₇₁	1	1	yes	characteristic, complemented
1097	C₂×C₂²⋊C₈	C₂×D₇₁	1	1	yes	characteristic, complemented
1098	#405	—	71	1	no	—
1099	#405	—	71	1	no	—
1100	#405	—	71	1	no	—
1101	#405	—	71	1	no	—
1102	C₄×M₁₆	—	71	1	no	—
1103	C₄×M₁₆	—	71	1	no	—
1104	C₄×M₁₆	—	71	1	no	—
1105	C₄×M₁₆	—	71	1	no	—
1106	C₂×C₄×C₈	—	71	1	no	—
1107	C₂×#41	—	71	1	no	—
1108	C₂×#41	—	71	1	no	—
1109	C₂×#41	—	71	1	no	—
1110	C₂×#41	—	71	1	no	—
1111	C₂²×D₄	—	71	1	no	—
1112	C₂²×D₄	—	71	1	no	—
1113	C₂²×D₄	—	71	1	no	—
1114	C₂²×D₄	C₄×D₇₁	1	1	yes	characteristic
1115	C₂³×C₄	—	71	1	no	—
1116	C₂³×C₄	—	71	1	no	—
1117	C₂³×C₄	C₂²×D₇₁	1	1	yes	characteristic
1118	C₂³×C₄	C₂²×D₇₁	1	1	yes	characteristic
1119	#131	—	284	2	no	—
1120	#131	—	284	2	no	—
1121	C₂×M₁₆	—	284	2	no	—
1122	C₂×M₁₆	—	284	2	no	—
1123	C₂×M₁₆	—	284	2	no	—
1124	C₂×M₁₆	—	284	2	no	—
1125	C₂×M₁₆	—	71	1	no	—
1126	C₂×M₁₆	—	71	1	no	—
1127	C₂×M₁₆	—	71	1	no	—
1128	C₂×M₁₆	—	71	1	no	—
1129	C₂×M₁₆	—	71	1	no	—
1130	C₂×M₁₆	—	71	1	no	—
1131	C₂×M₁₆	—	71	1	no	—
1132	C₂×M₁₆	—	71	1	no	—
1133	C₂×M₁₆	—	71	1	no	—
1134	C₂×M₁₆	—	71	1	no	—
1135	C₂×M₁₆	—	71	1	no	—
1136	C₂×M₁₆	—	71	1	no	—
1137	C₂×M₁₆	—	71	1	no	—
1138	C₂×M₁₆	—	71	1	no	—
1139	C₂×M₁₆	—	71	1	no	—
1140	C₂×M₁₆	—	71	1	no	—
1141	C₂×M₁₆	—	71	1	no	—
1142	C₂×M₁₆	—	71	1	no	—
1143	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1144	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1145	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1146	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1147	C₂²×C₈	—	71	1	no	—
1148	C₂²×C₈	—	71	1	no	—
1149	C₂²×C₈	—	71	1	no	—
1150	C₂²×C₈	—	71	1	no	—
1151	C₂²×C₈	—	71	1	no	—
1152	C₂²×C₈	—	71	1	no	—
1153	C₂²×C₈	—	71	1	no	—
1154	C₂²×C₈	—	71	1	no	—
1155	C₂²×C₈	—	71	1	no	—
1156	C₂²×C₈	—	71	1	no	—
1157	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1158	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1159	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1160	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1161	C₄⋊Q₈	—	71	1	no	—
1162	#127	—	71	1	no	—
1163	#126	—	71	1	no	—
1164	#126	—	71	1	no	—
1165	#126	—	71	1	no	—
1166	#126	—	71	1	no	—
1167	#126	—	71	1	no	—
1168	#126	—	71	1	no	—
1169	#126	—	71	1	no	—
1170	#126	—	71	1	no	—
1171	#125	—	71	1	no	—
1172	#125	—	71	1	no	—
1173	#125	—	71	1	no	—
1174	#125	—	71	1	no	—
1175	#124	—	71	1	no	—
1176	#124	—	71	1	no	—
1177	#124	—	71	1	no	—
1178	#124	—	71	1	no	—
1179	#124	—	71	1	no	—
1180	#124	—	71	1	no	—
1181	#123	—	71	1	no	—
1182	#123	—	71	1	no	—
1183	#123	—	71	1	no	—
1184	#123	—	71	1	no	—
1185	#123	—	71	1	no	—
1186	#123	—	71	1	no	—
1187	#123	—	71	1	no	—
1188	#123	—	71	1	no	—
1189	#123	—	71	1	no	—
1190	#123	—	71	1	no	—
1191	#123	—	71	1	no	—
1192	#123	—	71	1	no	—
1193	#123	—	71	1	no	—
1194	#123	—	71	1	no	—
1195	#123	—	71	1	no	—
1196	#123	—	71	1	no	—
1197	C₂²⋊Q₈	—	71	1	no	—
1198	C₂²⋊Q₈	—	71	1	no	—
1199	C₂²⋊Q₈	—	71	1	no	—
1200	C₂²⋊Q₈	—	71	1	no	—
1201	C₂²⋊Q₈	—	71	1	no	—
1202	C₂²⋊Q₈	—	71	1	no	—
1203	C₂²⋊Q₈	—	71	1	no	—
1204	C₂²⋊Q₈	—	71	1	no	—
1205	C₂²⋊Q₈	—	71	1	no	—
1206	C₂²⋊Q₈	—	71	1	no	—
1207	C₂²⋊Q₈	—	71	1	no	—
1208	C₂²⋊Q₈	—	71	1	no	—
1209	#121	—	71	1	no	—
1210	#121	—	71	1	no	—
1211	#121	—	71	1	no	—
1212	#121	—	71	1	no	—
1213	#121	—	71	1	no	—
1214	#121	—	71	1	no	—
1215	#121	—	71	1	no	—
1216	#121	—	71	1	no	—
1217	#121	—	71	1	no	—
1218	#121	—	71	1	no	—
1219	#121	—	71	1	no	—
1220	#121	—	71	1	no	—
1221	#121	—	71	1	no	—
1222	#121	—	71	1	no	—
1223	#121	—	71	1	no	—
1224	#121	—	71	1	no	—
1225	#120	—	71	1	no	—
1226	#120	—	71	1	no	—
1227	#120	—	71	1	no	—
1228	#120	—	71	1	no	—
1229	#120	—	71	1	no	—
1230	#120	—	71	1	no	—
1231	#120	—	71	1	no	—
1232	#120	—	71	1	no	—
1233	C₄×Q₈	—	71	1	no	—
1234	C₄×Q₈	—	71	1	no	—
1235	C₄×Q₈	—	71	1	no	—
1236	C₄×Q₈	—	71	1	no	—
1237	C₄×D₄	—	71	1	no	—
1238	C₄×D₄	—	71	1	no	—
1239	C₄×D₄	—	71	1	no	—
1240	C₄×D₄	—	71	1	no	—
1241	C₄×D₄	—	71	1	no	—
1242	C₄×D₄	—	71	1	no	—
1243	C₄×D₄	—	71	1	no	—
1244	C₄×D₄	—	71	1	no	—
1245	C₄×D₄	—	71	1	no	—
1246	C₄×D₄	—	71	1	no	—
1247	C₄×D₄	—	71	1	no	—
1248	C₄×D₄	—	71	1	no	—
1249	C₄×D₄	—	71	1	no	—
1250	C₄×D₄	—	71	1	no	—
1251	C₄×D₄	—	71	1	no	—
1252	C₄×D₄	—	71	1	no	—
1253	C₄×D₄	—	71	1	no	—
1254	C₄×D₄	—	71	1	no	—
1255	C₄×D₄	—	71	1	no	—
1256	C₄×D₄	—	71	1	no	—
1257	C₄×D₄	—	71	1	no	—
1258	C₄×D₄	—	71	1	no	—
1259	C₄×D₄	—	71	1	no	—
1260	C₄×D₄	—	71	1	no	—
1261	C₄×D₄	—	71	1	no	—
1262	C₄×D₄	—	71	1	no	—
1263	C₄×D₄	—	71	1	no	—
1264	C₄×D₄	—	71	1	no	—
1265	C₄×D₄	—	71	1	no	—
1266	C₄×D₄	—	71	1	no	—
1267	C₄×D₄	—	71	1	no	—
1268	C₄×D₄	—	71	1	no	—
1269	C₄×D₄	C₄×D₇₁	1	1	yes	characteristic
1270	C₄×D₄	C₄×D₇₁	1	1	yes	characteristic
1271	C₄×D₄	C₄×D₇₁	1	1	yes	characteristic
1272	C₄×D₄	C₄×D₇₁	1	1	yes	characteristic
1273	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1274	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1275	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1277	#117	—	71	1	no	—
1278	#117	—	71	1	no	—
1279	#117	—	71	1	no	—
1280	#117	—	71	1	no	—
1281	#117	—	71	1	no	—
1282	#117	—	71	1	no	—
1283	#117	—	71	1	no	—
1284	#117	—	71	1	no	—
1285	#117	—	71	1	no	—
1286	#117	—	71	1	no	—
1287	C₂×C₄⋊C₄	—	71	1	no	—
1288	C₂×C₄⋊C₄	—	71	1	no	—
1289	C₂×C₄⋊C₄	—	71	1	no	—
1290	C₂×C₄⋊C₄	C₄×D₇₁	1	1	yes	characteristic
1291	C₂×C₂²⋊C₄	—	71	1	no	—
1292	C₂×C₂²⋊C₄	—	71	1	no	—
1293	C₂×C₂²⋊C₄	—	71	1	no	—
1294	C₂×C₂²⋊C₄	—	71	1	no	—
1295	C₂×C₂²⋊C₄	—	71	1	no	—
1296	C₂×C₂²⋊C₄	—	71	1	no	—
1297	C₂×C₂²⋊C₄	C₄×D₇₁	1	1	yes	characteristic
1298	C₂×C₂²⋊C₄	C₄×D₇₁	1	1	yes	characteristic
1299	C₂×C₄²	—	71	1	no	—
1300	C₂×C₄²	—	71	1	no	—
1301	C₂×C₄²	—	71	1	no	—
1302	C₂×C₄²	—	71	1	no	—
1303	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
1304	C₄⋊C₈	—	71	1	no	—
1305	C₄⋊C₈	—	71	1	no	—
1306	C₄⋊C₈	—	71	1	no	—
1307	C₄⋊C₈	—	71	1	no	—
1308	C₄⋊C₈	—	71	1	no	—
1309	C₄⋊C₈	—	71	1	no	—
1310	C₄⋊C₈	—	71	1	no	—
1311	C₄⋊C₈	—	71	1	no	—
1312	C₄⋊C₈	—	71	1	no	—
1313	C₄⋊C₈	—	71	1	no	—
1314	C₄⋊C₈	—	71	1	no	—
1315	C₄⋊C₈	—	71	1	no	—
1316	C₄⋊C₈	—	71	1	no	—
1317	C₄⋊C₈	—	71	1	no	—
1318	C₄⋊C₈	—	71	1	no	—
1319	C₄⋊C₈	—	71	1	no	—
1320	C₄⋊C₈	—	71	1	no	—
1321	C₄⋊C₈	—	71	1	no	—
1322	C₄⋊C₈	—	71	1	no	—
1323	C₄⋊C₈	—	71	1	no	—
1324	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1325	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1326	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1327	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1328	C₂²⋊C₈	—	71	1	no	—
1329	C₂²⋊C₈	—	71	1	no	—
1330	C₂²⋊C₈	—	71	1	no	—
1331	C₂²⋊C₈	—	71	1	no	—
1332	C₂²⋊C₈	—	71	1	no	—
1333	C₂²⋊C₈	—	71	1	no	—
1334	C₂²⋊C₈	—	71	1	no	—
1335	C₂²⋊C₈	—	71	1	no	—
1336	C₂²⋊C₈	—	71	1	no	—
1337	C₂²⋊C₈	—	71	1	no	—
1338	C₂²⋊C₈	—	71	1	no	—
1339	C₂²⋊C₈	—	71	1	no	—
1340	C₂²⋊C₈	—	71	1	no	—
1341	C₂²⋊C₈	—	71	1	no	—
1342	C₂²⋊C₈	—	71	1	no	—
1343	C₂²⋊C₈	—	71	1	no	—
1344	C₂²⋊C₈	—	71	1	no	—
1345	C₂²⋊C₈	—	71	1	no	—
1346	C₂²⋊C₈	—	71	1	no	—
1347	C₂²⋊C₈	—	71	1	no	—
1348	C₂²⋊C₈	—	71	1	no	—
1349	C₂²⋊C₈	—	71	1	no	—
1350	C₂²⋊C₈	—	71	1	no	—
1351	C₂²⋊C₈	—	71	1	no	—
1352	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1353	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1354	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1355	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1356	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1357	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1358	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1360	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1361	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1362	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1363	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1364	#97	—	71	1	no	—
1365	#97	—	71	1	no	—
1366	#97	—	71	1	no	—
1367	#97	—	71	1	no	—
1368	#97	—	71	1	no	—
1369	#97	—	71	1	no	—
1370	#97	—	71	1	no	—
1371	#97	—	71	1	no	—
1372	#97	C₂²×D₇₁	1	1	yes	characteristic
1373	#97	C₂²×D₇₁	1	1	yes	characteristic
1374	#97	C₂²×D₇₁	1	1	yes	characteristic
1375	#97	C₂²×D₇₁	1	1	yes	characteristic
1376	C₄×C₈	—	71	1	no	—
1377	C₄×C₈	—	71	1	no	—
1378	C₄×C₈	—	71	1	no	—
1379	C₄×C₈	—	71	1	no	—
1380	C₄×C₈	—	71	1	no	—
1381	C₄×C₈	—	71	1	no	—
1382	C₄×C₈	—	71	1	no	—
1383	C₄×C₈	—	71	1	no	—
1384	C₄×C₈	—	71	1	no	—
1385	C₄×C₈	—	71	1	no	—
1386	C₄×C₈	—	71	1	no	—
1387	C₄×C₈	—	71	1	no	—
1388	C₂⁴	—	71	1	no	—
1389	C₂⁴	—	71	1	no	—
1390	C₂⁴	C₂×C₄×D₇₁	1	1	yes	characteristic
1391	C₂⁴	C₂×C₄×D₇₁	1	1	yes	characteristic
1392	#41	—	284	1	no	—
1393	#41	—	284	1	no	—
1394	#41	—	284	1	no	—
1395	#41	—	284	1	no	—
1396	#41	—	284	2	no	—
1397	#41	—	284	2	no	—
1398	C₂×Q₈	—	71	1	no	—
1399	C₂×Q₈	—	71	1	no	—
1400	C₂×Q₈	—	71	1	no	—
1401	C₂×Q₈	—	71	1	no	—
1402	C₂×D₄	—	4	2	no	—
1403	C₂×D₄	—	284	2	no	—
1404	C₂×D₄	—	284	2	no	—
1405	C₂×D₄	—	284	2	no	—
1406	C₂×D₄	—	71	1	no	—
1407	C₂×D₄	—	71	1	no	—
1408	C₂×D₄	—	71	1	no	—
1409	C₂×D₄	—	71	1	no	—
1410	C₂×D₄	—	71	1	no	—
1411	C₂×D₄	—	71	1	no	—
1412	C₂×D₄	—	71	1	no	—
1413	C₂×D₄	—	71	1	no	—
1414	C₂×D₄	—	71	1	no	—
1415	C₂×D₄	—	71	1	no	—
1416	C₂×D₄	—	71	1	no	—
1417	C₂×D₄	—	71	1	no	—
1418	C₂×D₄	—	71	1	no	—
1419	C₂×D₄	—	71	1	no	—
1420	C₂×D₄	—	71	1	no	—
1421	C₂×D₄	—	71	1	no	—
1422	C₂×D₄	—	71	1	no	—
1423	C₂×D₄	—	71	1	no	—
1424	C₂×D₄	—	71	1	no	—
1425	C₂×D₄	—	71	1	no	—
1426	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1427	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1428	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1429	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1430	C₂²×C₄	—	4	1	no	—
1431	C₂²×C₄	—	4	1	no	—
1432	C₂²×C₄	—	4	1	no	—
1433	C₂²×C₄	—	4	1	no	—
1434	C₂²×C₄	—	284	1	no	—
1435	C₂²×C₄	—	284	1	no	—
1436	C₂²×C₄	—	284	1	no	—
1437	C₂²×C₄	—	284	1	no	—
1438	C₂²×C₄	—	71	1	no	—
1439	C₂²×C₄	—	71	1	no	—
1440	C₂²×C₄	—	71	1	no	—
1441	C₂²×C₄	—	71	1	no	—
1442	C₂²×C₄	—	71	1	no	—
1443	C₂²×C₄	—	71	1	no	—
1444	C₂²×C₄	—	71	1	no	—
1445	C₂²×C₄	—	71	1	no	—
1446	C₂²×C₄	—	71	1	no	—
1447	C₂²×C₄	—	71	1	no	—
1448	C₂²×C₄	—	71	1	no	—
1449	C₂²×C₄	—	71	1	no	—
1450	C₂²×C₄	—	71	1	no	—
1451	C₂²×C₄	—	71	1	no	—
1452	C₂²×C₄	—	71	1	no	—
1453	C₂²×C₄	—	71	1	no	—
1454	C₂²×C₄	—	71	1	no	—
1455	C₂²×C₄	—	71	1	no	—
1456	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1457	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1458	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1459	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1460	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1461	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1462	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1463	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1464	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1465	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1466	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1467	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1468	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1469	M₁₆	—	4	1	no	—
1470	M₁₆	—	4	1	no	—
1471	M₁₆	—	4	1	no	—
1472	M₁₆	—	4	1	no	—
1473	M₁₆	—	284	1	no	—
1474	M₁₆	—	284	1	no	—
1475	M₁₆	—	284	1	no	—
1476	M₁₆	—	284	1	no	—
1477	M₁₆	—	284	1	no	—
1478	M₁₆	—	284	1	no	—
1479	M₁₆	—	284	1	no	—
1480	M₁₆	—	284	1	no	—
1481	M₁₆	—	284	1	no	—
1482	M₁₆	—	284	1	no	—
1483	M₁₆	—	284	1	no	—
1484	M₁₆	—	284	1	no	—
1485	M₁₆	—	142	2	no	—
1486	M₁₆	—	142	2	no	—
1487	M₁₆	—	142	2	no	—
1488	M₁₆	—	142	2	no	—
1489	M₁₆	—	142	2	no	—
1490	M₁₆	—	142	2	no	—
1491	C₂×C₈	—	4	1	no	—
1492	C₂×C₈	—	4	1	no	—
1493	C₂×C₈	—	4	1	no	—
1494	C₂×C₈	—	4	1	no	—
1495	C₂×C₈	—	284	1	no	—
1496	C₂×C₈	—	284	1	no	—
1497	C₂×C₈	—	284	1	no	—
1498	C₂×C₈	—	284	1	no	—
1499	C₂×C₈	—	284	1	no	—
1500	C₂×C₈	—	284	1	no	—
1501	C₂×C₈	—	284	1	no	—
1502	C₂×C₈	—	71	1	no	—
1503	C₂×C₈	—	71	1	no	—
1504	C₂×C₈	—	71	1	no	—
1505	C₂×C₈	—	71	1	no	—
1506	C₂×C₈	—	71	1	no	—
1507	C₂×C₈	—	71	1	no	—
1508	C₂×C₈	—	71	1	no	—
1509	C₂×C₈	—	71	1	no	—
1510	C₂×C₈	—	142	2	no	—
1511	C₂×C₈	—	142	2	no	—
1512	C₂×C₈	—	142	2	no	—
1513	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1514	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1515	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1516	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1517	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1518	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1519	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1520	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1521	C₄⋊C₄	—	71	1	no	—
1522	C₄⋊C₄	—	71	1	no	—
1523	C₄⋊C₄	—	71	1	no	—
1524	C₄⋊C₄	—	71	1	no	—
1525	C₄⋊C₄	—	71	1	no	—
1526	C₄⋊C₄	—	71	1	no	—
1527	C₄⋊C₄	—	71	1	no	—
1528	C₄⋊C₄	—	71	1	no	—
1529	C₄⋊C₄	—	71	1	no	—
1530	C₄⋊C₄	—	71	1	no	—
1531	C₄⋊C₄	—	71	1	no	—
1532	C₄⋊C₄	—	71	1	no	—
1533	C₄⋊C₄	—	71	1	no	—
1534	C₄⋊C₄	—	71	1	no	—
1535	C₄⋊C₄	—	71	1	no	—
1536	C₄⋊C₄	—	71	1	no	—
1537	C₄⋊C₄	—	71	1	no	—
1538	C₄⋊C₄	—	71	1	no	—
1539	C₄⋊C₄	—	71	1	no	—
1540	C₄⋊C₄	—	71	1	no	—
1541	C₄⋊C₄	—	71	1	no	—
1542	C₄⋊C₄	—	71	1	no	—
1543	C₄⋊C₄	—	71	1	no	—
1544	C₄⋊C₄	—	71	1	no	—
1545	C₄⋊C₄	—	71	1	no	—
1546	C₄⋊C₄	—	71	1	no	—
1547	C₄⋊C₄	—	71	1	no	—
1548	C₄⋊C₄	—	71	1	no	—
1549	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1550	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1551	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1552	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1553	C₂²⋊C₄	—	71	1	no	—
1554	C₂²⋊C₄	—	71	1	no	—
1555	C₂²⋊C₄	—	71	1	no	—
1556	C₂²⋊C₄	—	71	1	no	—
1557	C₂²⋊C₄	—	71	1	no	—
1558	C₂²⋊C₄	—	71	1	no	—
1559	C₂²⋊C₄	—	71	1	no	—
1560	C₂²⋊C₄	—	71	1	no	—
1561	C₂²⋊C₄	—	71	1	no	—
1562	C₂²⋊C₄	—	71	1	no	—
1563	C₂²⋊C₄	—	71	1	no	—
1564	C₂²⋊C₄	—	71	1	no	—
1565	C₂²⋊C₄	—	71	1	no	—
1566	C₂²⋊C₄	—	71	1	no	—
1567	C₂²⋊C₄	—	71	1	no	—
1568	C₂²⋊C₄	—	71	1	no	—
1569	C₂²⋊C₄	—	71	1	no	—
1570	C₂²⋊C₄	—	71	1	no	—
1571	C₂²⋊C₄	—	71	1	no	—
1572	C₂²⋊C₄	—	71	1	no	—
1573	C₂²⋊C₄	—	71	1	no	—
1574	C₂²⋊C₄	—	71	1	no	—
1575	C₂²⋊C₄	—	71	1	no	—
1576	C₂²⋊C₄	—	71	1	no	—
1577	C₂²⋊C₄	—	71	1	no	—
1578	C₂²⋊C₄	—	71	1	no	—
1579	C₂²⋊C₄	—	71	1	no	—
1580	C₂²⋊C₄	—	71	1	no	—
1581	C₂²⋊C₄	—	71	1	no	—
1582	C₂²⋊C₄	—	71	1	no	—
1583	C₂²⋊C₄	—	71	1	no	—
1584	C₂²⋊C₄	—	71	1	no	—
1585	C₂²⋊C₄	—	71	1	no	—
1586	C₂²⋊C₄	—	71	1	no	—
1587	C₂²⋊C₄	—	71	1	no	—
1588	C₂²⋊C₄	—	71	1	no	—
1589	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1590	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1591	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1592	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1593	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1594	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1595	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1596	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1597	C₄²	—	71	1	no	—
1598	C₄²	—	71	1	no	—
1599	C₄²	—	71	1	no	—
1600	C₄²	—	71	1	no	—
1601	C₄²	—	71	1	no	—
1602	C₄²	—	71	1	no	—
1603	C₄²	—	71	1	no	—
1604	C₄²	—	71	1	no	—
1605	C₄²	—	71	1	no	—
1606	C₄²	—	71	1	no	—
1607	C₄²	—	71	1	no	—
1608	C₄²	—	71	1	no	—
1609	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1610	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1611	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1612	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1613	C₂³	—	2	2	no	—
1614	C₂³	—	4	1	no	—
1615	C₂³	—	4	1	no	—
1616	C₂³	—	4	1	no	—
1617	C₂³	—	4	1	no	—
1618	C₂³	—	4	1	no	—
1619	C₂³	—	284	1	no	—
1620	C₂³	—	284	1	no	—
1621	C₂³	—	284	1	no	—
1622	C₂³	—	284	1	no	—
1623	C₂³	—	284	1	no	—
1624	C₂³	—	71	1	no	—
1625	C₂³	—	71	1	no	—
1626	C₂³	—	71	1	no	—
1627	C₂³	—	71	1	no	—
1628	C₂³	—	142	2	no	—
1629	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1630	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1631	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1632	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1633	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1634	Q₈	—	284	1	no	—
1635	Q₈	—	284	1	no	—
1636	Q₈	—	284	1	no	—
1637	Q₈	—	142	2	no	—
1638	D₄	—	2	2	no	—
1639	D₄	—	2	2	no	—
1640	D₄	—	4	1	no	—
1641	D₄	—	4	1	no	—
1642	D₄	—	284	1	no	—
1643	D₄	—	284	1	no	—
1644	D₄	—	284	1	no	—
1645	D₄	—	284	1	no	—
1646	D₄	—	284	1	no	—
1647	D₄	—	284	1	no	—
1648	D₄	—	284	1	no	—
1649	D₄	—	284	1	no	—
1650	D₄	—	284	1	no	—
1651	D₄	—	284	1	no	—
1652	D₄	—	284	1	no	—
1653	D₄	—	284	1	no	—
1654	D₄	—	284	1	no	—
1655	D₄	—	284	1	no	—
1656	D₄	—	284	1	no	—
1657	D₄	—	142	2	no	—
1658	D₄	—	142	2	no	—
1659	D₄	—	142	2	no	—
1660	D₄	—	142	2	no	—
1661	D₄	—	142	2	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	4	1	no	—
1673	C₂×C₄	—	4	1	no	—
1674	C₂×C₄	—	4	1	no	—
1675	C₂×C₄	—	4	1	no	—
1676	C₂×C₄	—	4	1	no	—
1677	C₂×C₄	—	4	1	no	—
1678	C₂×C₄	—	4	1	no	—
1679	C₂×C₄	—	4	1	no	—
1680	C₂×C₄	—	284	1	no	—
1681	C₂×C₄	—	284	1	no	—
1682	C₂×C₄	—	284	1	no	—
1683	C₂×C₄	—	284	1	no	—
1684	C₂×C₄	—	284	1	no	—
1685	C₂×C₄	—	284	1	no	—
1686	C₂×C₄	—	284	1	no	—
1687	C₂×C₄	—	284	1	no	—
1688	C₂×C₄	—	284	1	no	—
1689	C₂×C₄	—	284	1	no	—
1690	C₂×C₄	—	71	1	no	—
1691	C₂×C₄	—	71	1	no	—
1692	C₂×C₄	—	71	1	no	—
1693	C₂×C₄	—	71	1	no	—
1694	C₂×C₄	—	71	1	no	—
1695	C₂×C₄	—	71	1	no	—
1696	C₂×C₄	—	71	1	no	—
1697	C₂×C₄	—	71	1	no	—
1698	C₂×C₄	—	71	1	no	—
1699	C₂×C₄	—	71	1	no	—
1700	C₂×C₄	—	71	1	no	—
1701	C₂×C₄	—	71	1	no	—
1702	C₂×C₄	—	142	2	no	—
1703	C₂×C₄	—	142	2	no	—
1704	C₂×C₄	—	142	2	no	—
1705	C₂×C₄	—	142	2	no	—
1706	C₂×C₄	—	142	1	no	—
1707	C₂×C₄	—	142	1	no	—
1708	C₂×C₄	—	142	1	no	—
1709	C₂×C₄	—	142	1	no	—
1710	C₂×C₄	—	142	1	no	—
1711	C₂×C₄	—	142	1	no	—
1712	C₂×C₄	—	142	1	no	—
1713	C₂×C₄	—	142	1	no	—
1714	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1715	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1716	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1717	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1718	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1719	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1720	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1721	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1722	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1723	C₂×C₄	C₂⁴×D₇₁	1	1	yes	characteristic
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	2	1	no	—
1727	C₈	—	2	1	no	—
1728	C₈	—	2	1	no	—
1729	C₈	—	2	1	no	—
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	71	2	no	—
1733	C₈	—	142	1	no	—
1734	C₈	—	142	1	no	—
1735	C₈	—	142	1	no	—
1736	C₈	—	142	1	no	—
1737	C₈	—	142	1	no	—
1738	C₈	—	142	1	no	—
1739	C₈	—	142	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	1	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	8	2	no	—
1755	C₂²	—	8	2	no	—
1756	C₂²	—	568	2	no	—
1757	C₂²	—	568	2	no	—
1758	C₂²	—	142	1	no	—
1759	C₂²	—	142	1	no	—
1760	C₂²	—	142	1	no	—
1761	C₂²	—	142	1	no	—
1762	C₂²	—	142	1	no	—
1763	C₂²	—	142	1	no	—
1764	C₂²	—	142	1	no	—
1765	C₂²	—	142	1	no	—
1766	C₂²	—	142	1	no	—
1767	C₂²	—	142	1	no	—
1768	C₂²	—	142	1	no	—
1769	C₂²	—	142	1	no	—
1770	C₂²	#17986765	1	2	yes	—
1771	C₂²	C₂³×C₄×D₇₁	1	1	yes	characteristic
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	71	2	no	—
1782	C₄	—	142	1	no	—
1783	C₄	—	142	1	no	—
1784	C₄	—	142	1	no	—
1785	C₄	—	142	1	no	—
1786	C₄	—	142	1	no	—
1787	C₄	—	142	1	no	—
1788	C₄	—	142	1	no	—
1789	C₄	—	142	1	no	—
1790	C₄	—	142	1	no	—
1791	C₄	—	142	1	no	—
1792	C₄	—	142	1	no	—
1793	C₄	H(5,𝔽₂)×D₇₁	1	1	yes	characteristic
1794	C₄	#17986834	1	1	yes	characteristic
1795	C₂	—	2	2	no	—
1796	C₂	—	4	1	no	—
1797	C₂	—	4	1	no	—
1798	C₂	—	4	1	no	—
1799	C₂	—	4	1	no	—
1800	C₂	—	284	1	no	—
1801	C₂	—	284	1	no	—
1802	C₂	—	284	1	no	—
1803	C₂	—	284	1	no	—
1804	C₂	#22601544	1	1	yes	characteristic
1805	C₂	#568×D₇₁	1	1	yes	characteristic
1806	C₂	C₂×#17986765	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₁
commutator, socle	C₂²×C₇₁	C₂⁴×C₄
Fitting	C₇₁×#2973	C₂
prime radical	#22601944	C₂
cosocle	C₂×C₄×C₇₁	C₂⁵
hypercenter	#2973	D₇₁
hypocenter	C₇₁	#60324
LCS	G ▷ C₂²×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂×C₄ ◁ #2973

Complements

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

N	H ≅ G/N	type
2. #22597512	C₂	semidirect
3. #22597506	C₂	semidirect
4. #22597493	C₂	semidirect
5. #22597482	C₂	semidirect
6. #22597460	C₂	semidirect
7. #22597459	C₂	semidirect
8. #22597412	C₂	semidirect
9. #22597400	C₂	semidirect
10. #22597399	C₂	semidirect
11. #22597389	C₂	semidirect
12. #22597385	C₂	semidirect
13. #22597379	C₂	semidirect
14. #22597371	C₂	semidirect
15. #22597365	C₂	semidirect
16. #22597357	C₂	semidirect
17. #22597337	C₂	semidirect
18. #22597322	C₂	semidirect
19. #22597320	C₂	semidirect
20. #22597310	C₂	semidirect
21. #22597300	C₂	semidirect
22. #22597081	C₂	semidirect
23. D₄×#11765849	C₂	semidirect
24. #22597073	C₂	semidirect
25. #22597072	C₂	semidirect
26. #22597066	C₂	semidirect
27. #22597061	C₂	semidirect
28. #22597039	C₂	semidirect
29. #22597038	C₂	semidirect
30. C₂×#17986074	C₂	semidirect
31. C₇₁×#2973	C₂	semidirect
32. C₂×#14556136	C₂²	semidirect
33. C₂×#14556134	C₂²	semidirect
34. C₂²×#11765849	C₂²	semidirect
35. C₂²×#11765849	C₂²	semidirect
36. C₂²×#11765848	C₂²	semidirect
37. C₂×M₁₆×D₇₁	C₂²	semidirect
68. #17986128	C₂²	semidirect
69. #17986128	C₂²	semidirect
70. #17986127	C₂²	semidirect
71. #17986127	C₂²	semidirect
72. #17986127	C₂²	semidirect
73. #17986127	C₂²	semidirect
74. #17986123	C₂²	semidirect
75. #17986123	C₂²	semidirect
76. #17986077	C₂²	semidirect
77. #17986077	C₂²	semidirect
78. #17986076	C₂²	semidirect
79. #17986076	C₂²	semidirect
80. #17986075	C₂²	semidirect
81. #17986075	C₂²	semidirect
82. #17986075	C₂²	semidirect
83. #17986075	C₂²	semidirect
84. #17986075	C₂²	semidirect
85. #17986075	C₂²	semidirect
90. #17986074	C₂²	semidirect
91. #17986074	C₂²	semidirect
92. #17986074	C₂²	semidirect
93. #17986074	C₂²	semidirect
94. #17986074	C₂²	semidirect
95. #17986074	C₂²	semidirect
96. #17986074	C₂²	semidirect
97. #17986074	C₂²	semidirect
98. #17986074	C₂²	semidirect
99. #17986074	C₂²	semidirect
100. #17986074	C₂²	semidirect
101. #17986074	C₂²	semidirect
102. #17986073	C₂²	semidirect
103. #17986073	C₂²	semidirect
104. #17986073	C₂²	semidirect
105. #17986073	C₂²	semidirect
106. #17986073	C₂²	semidirect
107. #17986073	C₂²	semidirect
108. #17986073	C₂²	semidirect
109. #17986073	C₂²	semidirect
110. #17986072	C₂²	semidirect
111. #17986072	C₂²	semidirect
112. #17986072	C₂²	semidirect
113. #17986072	C₂²	semidirect
116. #17986071	C₂²	semidirect
117. #17986071	C₂²	semidirect
118. #17986070	C₂²	semidirect
119. #17986070	C₂²	semidirect
120. #17986070	C₂²	semidirect
121. #17986070	C₂²	semidirect
122. #17986069	C₂²	semidirect
123. #17986069	C₂²	semidirect
124. #17986068	C₂²	semidirect
125. #17986068	C₂²	semidirect
126. #17986067	C₂²	semidirect
127. #17986067	C₂²	semidirect
128. #17986067	C₂²	semidirect
129. #17986067	C₂²	semidirect
130. D₄×C₇₁⋊C₈	C₂²	semidirect
131. D₄×C₇₁⋊C₈	C₂²	semidirect
132. C₈×C₂²⋊D₇₁	C₂²	semidirect
133. C₈×C₂²⋊D₇₁	C₂²	semidirect
134. C₈×C₂²⋊D₇₁	C₂²	semidirect
135. C₈×C₂²⋊D₇₁	C₂²	semidirect
136. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
137. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
138. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
139. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
140. #17986061	C₂²	semidirect
141. #17986061	C₂²	semidirect
142. #17986059	C₂²	semidirect
143. #17986059	C₂²	semidirect
144. #17986057	C₂²	semidirect
145. #17986057	C₂²	semidirect
146. #17986057	C₂²	semidirect
147. #17986057	C₂²	semidirect
148. #17986055	C₂²	semidirect
149. #17986054	C₂²	semidirect
150. #17986054	C₂²	semidirect
151. #17986053	C₂²	semidirect
152. #17986051	C₂²	semidirect
153. #17986049	C₂²	semidirect
154. #17986049	C₂²	semidirect
155. #17986049	C₂²	semidirect
156. #17986027	C₂²	semidirect
157. #17986025	C₂²	semidirect
158. #17986024	C₂²	semidirect
159. #17986024	C₂²	semidirect
160. #17986023	C₂²	semidirect
161. #17986022	C₂²	semidirect
162. #17986021	C₂²	semidirect
163. C₂×Dic₇₁⋊C₈	C₂²	semidirect
164. C₄⋊C₈×D₇₁	C₂²	semidirect
165. #17985967	C₂²	semidirect
166. #17985965	C₂²	semidirect
167. #17985964	C₂²	semidirect
168. #17985964	C₂²	semidirect
169. #17985964	C₂²	semidirect
170. #17985964	C₂²	semidirect
171. #17985963	C₂²	semidirect
172. #17985963	C₂²	semidirect
173. #17985962	C₂²	semidirect
174. #17985961	C₂²	semidirect
175. #17985961	C₂²	semidirect
176. #17985961	C₂²	semidirect
177. C₂×(C₂×D₇₁)⋊C₈	C₂²	semidirect
178. C₂²⋊C₈×D₇₁	C₂²	semidirect
179. #17985957	C₂²	semidirect
180. #17985956	C₂²	semidirect
181. #17985956	C₂²	semidirect
182. #17985954	C₂²	semidirect
183. C₄×#11765849	C₂²	semidirect
184. #17985951	C₂²	semidirect
185. #17985951	C₂²	semidirect
186. M₁₆×Dic₇₁	C₂²	semidirect
187. C₂×C₈×Dic₇₁	C₂²	semidirect
191. #435×C₇₁	C₂²	semidirect
192. #435×C₇₁	C₂²	semidirect
193. #435×C₇₁	C₂²	semidirect
194. #435×C₇₁	C₂²	semidirect
195. #435×C₇₁	C₂²	semidirect
196. #435×C₇₁	C₂²	semidirect
197. #432×C₇₁	C₂²	semidirect
198. #432×C₇₁	C₂²	semidirect
199. #407×C₇₁	C₂²	semidirect
200. #407×C₇₁	C₂²	semidirect
201. C₂×C₂²⋊C₈×C₇₁	C₂²	semidirect
202. C₂×C₂²⋊C₈×C₇₁	C₂²	semidirect
919. #2973	D₇₁	semidirect
935. C₇₁	#60324	semidirect
1037. #435	C₂×D₇₁	semidirect
1038. #435	C₂×D₇₁	semidirect
1039. #435	C₂×D₇₁	semidirect
1040. #435	C₂×D₇₁	semidirect
1041. #435	C₂×D₇₁	semidirect
1042. #435	C₂×D₇₁	semidirect
1065. #432	C₂×D₇₁	semidirect
1066. #432	C₂×D₇₁	semidirect
1092. #407	C₂×D₇₁	semidirect
1093. #407	C₂×D₇₁	semidirect
1096. C₂×C₂²⋊C₈	C₂×D₇₁	semidirect
1097. C₂×C₂²⋊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
#22601944	2
#22597512	2
#22597506	2
#22597493	2
#22597482	2
#22597460	2
#22597459	2
#22597412	2
#22597400	2
#22597399	2
#22597389	2
#22597385	2
#22597379	2
#22597371	2
#22597365	2
#22597357	2
#22597337	2
#22597322	2
#22597320	2
#22597310	2
#22597300	2
#22597081	2
D₄×#11765849	2
#22597073	2
#22597072	2
#22597066	2
#22597061	2
#22597039	2
#22597038	2
C₂×#17986074	2
C₇₁×#2973	2
#60324	71