Subgroups — #32863471

Order 18176.

1812 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22602479	C₂	1	1	yes	maximal, characteristic
2	#22597509	C₂	1	1	yes	maximal, characteristic, complemented
3	#22597505	C₂	1	1	yes	maximal, characteristic, complemented
4	#22597503	C₂	1	1	yes	maximal, characteristic, complemented
5	#22597500	C₂	1	1	yes	maximal, characteristic, complemented
6	#22597481	C₂	1	1	yes	maximal, characteristic, complemented
7	#22597474	C₂	1	1	yes	maximal, characteristic, complemented
8	#22597418	C₂	1	1	yes	maximal, characteristic, complemented
9	#22597417	C₂	1	1	yes	maximal, characteristic, complemented
10	#22597408	C₂	1	1	yes	maximal, characteristic, complemented
11	#22597395	C₂	1	1	yes	maximal, characteristic, complemented
12	#22597391	C₂	1	1	yes	maximal, characteristic, complemented
13	#22597389	C₂	1	1	yes	maximal, characteristic, complemented
14	#22597387	C₂	1	1	yes	maximal, characteristic, complemented
15	#22597386	C₂	1	1	yes	maximal, characteristic, complemented
16	#22597384	C₂	1	1	yes	maximal, characteristic, complemented
17	#22597344	C₂	1	1	yes	maximal, characteristic, complemented
18	#22597340	C₂	1	1	yes	maximal, characteristic, complemented
19	#22597324	C₂	1	1	yes	maximal, characteristic, complemented
20	#22597314	C₂	1	1	yes	maximal, characteristic, complemented
21	#22597311	C₂	1	1	yes	maximal, characteristic, complemented
22	#22597086	C₂	1	1	yes	maximal, characteristic, complemented
23	#22597081	C₂	1	1	yes	maximal, characteristic, complemented
24	#22597068	C₂	1	1	yes	maximal, characteristic, complemented
25	#22597066	C₂	1	1	yes	maximal, characteristic, complemented
26	#22597066	C₂	1	1	yes	maximal, characteristic, complemented
27	#22597063	C₂	1	1	yes	maximal, characteristic, complemented
28	#22597049	C₂	1	1	yes	maximal, characteristic, complemented
29	#22597045	C₂	1	1	yes	maximal, characteristic, complemented
30	#22597040	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₁×#2967	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556136	C₂²	1	1	yes	characteristic
33	C₂×#14556136	C₂²	1	1	yes	characteristic
34	C₂×#14556136	C₂²	1	1	yes	characteristic, complemented
35	C₂×#14556134	C₂²	1	1	yes	characteristic
36	C₂²×#11765848	C₂²	1	1	yes	characteristic, complemented
37	C₂×M₁₆×D₇₁	C₂²	1	1	yes	characteristic, complemented
38	#17986753	C₄	1	1	yes	characteristic
39	#17986751	C₄	1	1	yes	characteristic
40	#17986751	C₄	1	1	yes	characteristic
41	#17986747	C₄	1	1	yes	characteristic
42	#17986746	C₄	1	1	yes	characteristic
43	#17986746	C₄	1	1	yes	characteristic
44	#17986745	C₄	1	1	yes	characteristic
45	#17986745	C₄	1	1	yes	characteristic
46	#17986743	C₄	1	1	yes	characteristic
47	#17986741	C₄	1	1	yes	characteristic
48	#17986740	C₄	1	1	yes	characteristic
49	#17986740	C₄	1	1	yes	characteristic
50	#17986739	C₄	1	1	yes	characteristic
51	#17986739	C₄	1	1	yes	characteristic
52	#17986737	C₄	1	1	yes	characteristic
53	#17986737	C₄	1	1	yes	characteristic
54	#17986549	C₂²	1	1	yes	characteristic
55	#17986546	C₂²	1	1	yes	characteristic
56	#17986546	C₂²	1	1	yes	characteristic
57	#17986536	C₂²	1	1	yes	characteristic
58	#17986536	C₂²	1	1	yes	characteristic
59	#17986533	C₂²	1	1	yes	characteristic
60	#17986527	C₂²	1	1	yes	characteristic
61	#17986527	C₂²	1	1	yes	characteristic
62	#17986511	C₂²	1	1	yes	characteristic
63	#17986511	C₂²	1	1	yes	characteristic
64	#17986508	C₂²	1	1	yes	characteristic
65	#17986508	C₂²	1	1	yes	characteristic
66	#17986508	C₂²	1	1	yes	characteristic
67	#17986508	C₂²	1	1	yes	characteristic
68	#17986130	C₂²	1	1	yes	characteristic, complemented
69	#17986129	C₂²	1	1	yes	characteristic, complemented
70	#17986127	C₂²	1	1	yes	characteristic, complemented
71	#17986127	C₂²	1	1	yes	characteristic, complemented
72	Q₈×C₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
73	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic, complemented
74	#17986078	C₂²	1	1	yes	characteristic
75	#17986078	C₂²	1	1	yes	characteristic
76	#17986078	C₂²	1	1	yes	characteristic, complemented
77	#17986078	C₂²	1	1	yes	characteristic, complemented
78	#17986078	C₂²	1	1	yes	characteristic, complemented
79	#17986078	C₂²	1	1	yes	characteristic, complemented
80	#17986077	C₂²	1	1	yes	characteristic
81	#17986076	C₂²	1	1	yes	characteristic
82	#17986076	C₂²	1	1	yes	characteristic, complemented
83	#17986076	C₂²	1	1	yes	characteristic, complemented
84	#17986075	C₂²	1	1	yes	characteristic
85	#17986075	C₂²	1	1	yes	characteristic
86	#17986075	C₂²	1	1	yes	characteristic, complemented
87	#17986075	C₂²	1	1	yes	characteristic, complemented
88	#17986075	C₂²	1	1	yes	characteristic, complemented
89	#17986074	C₂²	1	1	yes	characteristic, complemented
90	#17986073	C₂²	1	1	yes	characteristic
91	#17986073	C₂²	1	1	yes	characteristic
92	#17986073	C₂²	1	1	yes	characteristic, complemented
93	#17986072	C₂²	1	1	yes	characteristic
94	#17986072	C₂²	1	1	yes	characteristic
95	#17986072	C₂²	1	1	yes	characteristic
96	#17986072	C₂²	1	1	yes	characteristic
97	#17986072	C₂²	1	1	yes	characteristic, complemented
98	#17986072	C₂²	1	1	yes	characteristic, complemented
99	#17986072	C₂²	1	1	yes	characteristic, complemented
100	#17986072	C₂²	1	1	yes	characteristic, complemented
101	#17986072	C₂²	1	1	yes	characteristic, complemented
102	#17986072	C₂²	1	1	yes	characteristic, complemented
103	#17986072	C₂²	1	1	yes	characteristic, complemented
104	#17986072	C₂²	1	1	yes	characteristic, complemented
105	#17986072	C₂²	1	1	yes	characteristic, complemented
106	#17986072	C₂²	1	1	yes	characteristic, complemented
107	#17986071	C₂²	1	1	yes	characteristic, complemented
108	#17986071	C₂²	1	1	yes	characteristic, complemented
109	#17986070	C₂²	1	1	yes	characteristic, complemented
110	#17986069	C₂²	1	1	yes	characteristic
111	#17986069	C₂²	1	1	yes	characteristic
112	#17986069	C₂²	1	1	yes	characteristic, complemented
113	#17986069	C₂²	1	1	yes	characteristic, complemented
114	#17986068	C₂²	1	1	yes	characteristic, complemented
115	#17986068	C₂²	1	1	yes	characteristic, complemented
116	#17986068	C₂²	1	1	yes	characteristic, complemented
117	#17986067	C₂²	1	1	yes	characteristic
118	#17986067	C₂²	1	1	yes	characteristic
119	#17986067	C₂²	1	1	yes	characteristic, complemented
120	#17986067	C₂²	1	1	yes	characteristic, complemented
121	#17986067	C₂²	1	1	yes	characteristic, complemented
122	C₈×D₂₈₄	C₂²	1	1	yes	characteristic
123	C₈×D₂₈₄	C₂²	1	1	yes	characteristic
124	C₈×D₂₈₄	C₂²	1	1	yes	characteristic, complemented
125	C₈×D₂₈₄	C₂²	1	1	yes	characteristic, complemented
126	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic
127	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
128	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
129	#17986064	C₂²	1	1	yes	characteristic
130	#17986064	C₂²	1	1	yes	characteristic, complemented
131	#17986064	C₂²	1	1	yes	characteristic, complemented
132	#17986064	C₂²	1	1	yes	characteristic, complemented
133	#17986064	C₂²	1	1	yes	characteristic, complemented
134	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
135	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
136	C₈×C₂²⋊D₇₁	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	#17986061	C₂²	1	1	yes	characteristic, complemented
143	#17986060	C₂²	1	1	yes	characteristic, complemented
144	#17986060	C₂²	1	1	yes	characteristic, complemented
145	#17986059	C₂²	1	1	yes	characteristic, complemented
146	#17986059	C₂²	1	1	yes	characteristic, complemented
147	#17986059	C₂²	1	1	yes	characteristic, complemented
148	#17986059	C₂²	1	1	yes	characteristic, complemented
149	#17986058	C₂²	1	1	yes	characteristic, complemented
150	#17986055	C₂²	1	1	yes	characteristic, complemented
151	#17986055	C₂²	1	1	yes	characteristic, complemented
152	#17986054	C₂²	1	1	yes	characteristic, complemented
153	#17986052	C₂²	1	1	yes	characteristic, complemented
154	#17986050	C₂²	1	1	yes	characteristic, complemented
155	#17986026	C₂²	1	1	yes	characteristic, complemented
156	#17986026	C₂²	1	1	yes	characteristic, complemented
157	#17986024	C₂²	1	1	yes	characteristic, complemented
158	#17986024	C₂²	1	1	yes	characteristic, complemented
159	#17986024	C₂²	1	1	yes	characteristic, complemented
160	#17986024	C₂²	1	1	yes	characteristic, complemented
161	#17986021	C₂²	1	1	yes	characteristic, complemented
162	C₂×C₄⋊(C₇₁⋊C₈)	C₂²	1	1	yes	characteristic, complemented
163	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
164	#17985967	C₂²	1	1	yes	characteristic
165	#17985967	C₂²	1	1	yes	characteristic
166	#17985967	C₂²	1	1	yes	characteristic, complemented
167	#17985965	C₂²	1	1	yes	characteristic
168	#17985964	C₂²	1	1	yes	characteristic
169	#17985964	C₂²	1	1	yes	characteristic
170	#17985964	C₂²	1	1	yes	characteristic
171	#17985964	C₂²	1	1	yes	characteristic
172	#17985964	C₂²	1	1	yes	characteristic
173	#17985964	C₂²	1	1	yes	characteristic
174	#17985964	C₂²	1	1	yes	characteristic, complemented
175	#17985964	C₂²	1	1	yes	characteristic, complemented
176	#17985962	C₂²	1	1	yes	characteristic, complemented
177	#17985961	C₂²	1	1	yes	characteristic, complemented
178	C₂×(C₂×D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	C₂²⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
180	C₂²⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
181	C₂²⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
182	#17985956	C₂²	1	1	yes	characteristic, complemented
183	#17985956	C₂²	1	1	yes	characteristic, complemented
184	#17985956	C₂²	1	1	yes	characteristic, complemented
185	#17985953	C₂²	1	1	yes	characteristic, complemented
186	#17985951	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
188	#529×C₇₁	C₂²	1	1	yes	characteristic
189	#446×C₇₁	C₂²	1	1	yes	characteristic, complemented
190	#446×C₇₁	C₂²	1	1	yes	characteristic, complemented
191	#436×C₇₁	C₂²	1	1	yes	characteristic, complemented
192	#436×C₇₁	C₂²	1	1	yes	characteristic, complemented
193	#435×C₇₁	C₂²	1	1	yes	characteristic
194	#435×C₇₁	C₂²	1	1	yes	characteristic
195	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
196	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
197	#433×C₇₁	C₂²	1	1	yes	characteristic, complemented
198	#433×C₇₁	C₂²	1	1	yes	characteristic, complemented
199	#432×C₇₁	C₂²	1	1	yes	characteristic, complemented
200	#405×C₇₁	C₂²	1	1	yes	characteristic, complemented
201	#405×C₇₁	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₇₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11765865	C₂³	1	1	yes	characteristic
204	C₂×#11765865	C₂³	1	1	yes	characteristic
205	C₂×#11765865	C₂³	1	1	yes	characteristic
206	C₂×#11765865	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
209	#14556136	—	4	2	no	—
210	#14556136	—	4	2	no	—
211	#14556136	—	4	2	no	—
212	#14556134	—	4	2	no	—
213	C₂×#11765849	C₂³	1	1	yes	characteristic
214	C₂×#11765849	C₂³	1	1	yes	characteristic
215	C₂×#11765848	—	4	2	no	—
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	C₂×#11765848	C₂³	1	1	yes	characteristic
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	M₁₆×D₇₁	—	4	2	no	—
229	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
230	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
231	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
232	C₂²×C₇₁⋊C₈	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	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
239	C₂×C₈×D₇₁	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	#14556128	C₂×C₄	1	1	yes	characteristic
246	#14556127	C₂×C₄	1	1	yes	characteristic
247	#14556127	C₂×C₄	1	1	yes	characteristic
248	#14556125	C₂×C₄	1	1	yes	characteristic
249	#14556124	C₂×C₄	1	1	yes	characteristic
250	#14556124	C₂×C₄	1	1	yes	characteristic
251	#14556123	C₂×C₄	1	1	yes	characteristic
252	#14556123	C₂×C₄	1	1	yes	characteristic
253	#14556123	C₂×C₄	1	1	yes	characteristic
254	#14556123	C₂×C₄	1	1	yes	characteristic
255	#14556123	C₂×C₄	1	1	yes	characteristic
256	#14556123	C₂×C₄	1	1	yes	characteristic
257	#14556122	C₂×C₄	1	1	yes	characteristic
258	#14556122	C₂×C₄	1	1	yes	characteristic
259	#14556121	C₂×C₄	1	1	yes	characteristic
260	#14556121	C₂×C₄	1	1	yes	characteristic
261	#14556120	C₂×C₄	1	1	yes	characteristic
262	#14556119	C₂×C₄	1	1	yes	characteristic
263	#14556119	C₂×C₄	1	1	yes	characteristic
264	#14556118	C₂×C₄	1	1	yes	characteristic
265	#14556118	C₂×C₄	1	1	yes	characteristic
266	#14556117	C₂×C₄	1	1	yes	characteristic
267	#14556117	C₂×C₄	1	1	yes	characteristic
268	#14556116	C₂×C₄	1	1	yes	characteristic
269	#14556116	C₂×C₄	1	1	yes	characteristic
270	#14556116	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	#14556114	C₂×C₄	1	1	yes	characteristic
275	#14556114	C₂×C₄	1	1	yes	characteristic
276	#14556114	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	#14556113	C₂×C₄	1	1	yes	characteristic
281	#14556113	C₂×C₄	1	1	yes	characteristic
282	#14556113	C₂×C₄	1	1	yes	characteristic
283	#14556113	C₂×C₄	1	1	yes	characteristic
284	#14556113	C₂×C₄	1	1	yes	characteristic
285	#14556113	C₂×C₄	1	1	yes	characteristic
286	#14556113	C₂×C₄	1	1	yes	characteristic
287	#14556112	C₂×C₄	1	1	yes	characteristic
288	#14556112	C₂×C₄	1	1	yes	characteristic
289	#14556112	C₂×C₄	1	1	yes	characteristic
290	#14556112	C₂×C₄	1	1	yes	characteristic
291	#14556111	C₂×C₄	1	1	yes	characteristic
292	#14556111	C₂×C₄	1	1	yes	characteristic
293	#14556110	C₂×C₄	1	1	yes	characteristic
294	#14556110	C₂×C₄	1	1	yes	characteristic
295	#14556110	C₂×C₄	1	1	yes	characteristic
296	#14556110	C₂×C₄	1	1	yes	characteristic
297	#14556110	C₂×C₄	1	1	yes	characteristic
298	#14556110	C₂×C₄	1	1	yes	characteristic
299	#14556108	C₂×C₄	1	1	yes	characteristic
300	#14556108	C₂×C₄	1	1	yes	characteristic
301	#14556108	C₂×C₄	1	1	yes	characteristic
302	#14556108	C₂×C₄	1	1	yes	characteristic
303	#14556107	C₂×C₄	1	1	yes	characteristic
304	#14556106	C₂×C₄	1	1	yes	characteristic
305	#14556106	C₂×C₄	1	1	yes	characteristic
306	#14556106	C₂×C₄	1	1	yes	characteristic
307	#14556106	C₂×C₄	1	1	yes	characteristic
308	#14556106	C₂×C₄	1	1	yes	characteristic
309	#14556106	C₂×C₄	1	1	yes	characteristic
310	#14556105	C₂×C₄	1	1	yes	characteristic
311	#14556105	C₂×C₄	1	1	yes	characteristic
312	#14556105	C₂×C₄	1	1	yes	characteristic
313	#14556105	C₂×C₄	1	1	yes	characteristic
314	#14556104	C₂×C₄	1	1	yes	characteristic
315	#14556104	C₂×C₄	1	1	yes	characteristic
316	#14556103	C₂×C₄	1	1	yes	characteristic
317	#14556103	C₂×C₄	1	1	yes	characteristic
318	#14556103	C₂×C₄	1	1	yes	characteristic
319	#14556103	C₂×C₄	1	1	yes	characteristic
320	#14556103	C₂×C₄	1	1	yes	characteristic
321	#14556103	C₂×C₄	1	1	yes	characteristic
322	#14556103	C₂×C₄	1	1	yes	characteristic
323	#14556103	C₂×C₄	1	1	yes	characteristic
324	#14556102	C₂×C₄	1	1	yes	characteristic
325	#14556102	C₂×C₄	1	1	yes	characteristic
326	#14556102	C₂×C₄	1	1	yes	characteristic
327	#14556102	C₂×C₄	1	1	yes	characteristic
328	#14556102	C₂×C₄	1	1	yes	characteristic
329	#14556101	C₂×C₄	1	1	yes	characteristic
330	#14556101	C₂×C₄	1	1	yes	characteristic
331	#14556101	C₂×C₄	1	1	yes	characteristic
332	#14556101	C₂×C₄	1	1	yes	characteristic
333	#14556101	C₂×C₄	1	1	yes	characteristic
334	#14556101	C₂×C₄	1	1	yes	characteristic
335	#14556101	C₂×C₄	1	1	yes	characteristic
336	#14556101	C₂×C₄	1	1	yes	characteristic
337	#14556101	C₂×C₄	1	1	yes	characteristic
338	#14556101	C₂×C₄	1	1	yes	characteristic
339	#14556100	C₂×C₄	1	1	yes	characteristic
340	#14556100	C₂×C₄	1	1	yes	characteristic
341	#14556100	C₂×C₄	1	1	yes	characteristic
342	#14556100	C₂×C₄	1	1	yes	characteristic
343	#14556099	C₂×C₄	1	1	yes	characteristic
344	#14556099	C₂×C₄	1	1	yes	characteristic
345	#14556098	C₂×C₄	1	1	yes	characteristic
346	#14556098	C₂×C₄	1	1	yes	characteristic
347	#14556098	C₂×C₄	1	1	yes	characteristic
348	#14556098	C₂×C₄	1	1	yes	characteristic
349	#14556098	C₂×C₄	1	1	yes	characteristic
350	#14556098	C₂×C₄	1	1	yes	characteristic
351	#14556098	C₂×C₄	1	1	yes	characteristic
352	#14556098	C₂×C₄	1	1	yes	characteristic
353	#14556096	C₂×C₄	1	1	yes	characteristic
354	#14556096	C₂×C₄	1	1	yes	characteristic
355	#14556096	C₂×C₄	1	1	yes	characteristic
356	#14556096	C₂×C₄	1	1	yes	characteristic
357	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
358	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
359	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
360	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
361	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
362	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
363	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
364	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
365	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
366	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
367	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
368	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
369	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
370	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
371	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
372	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
373	#14556085	C₂³	1	1	yes	characteristic
374	#14556085	C₂³	1	1	yes	characteristic
375	#14556085	C₂³	1	1	yes	characteristic
376	#14556085	C₂³	1	1	yes	characteristic
377	C₄²×D₇₁	C₂³	1	1	yes	characteristic
378	C₄²×D₇₁	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	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
386	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
387	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
388	C₄⋊(C₇₁⋊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	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
404	(C₂×D₇₁)⋊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	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
422	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
423	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
424	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
425	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
426	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
427	#14556039	C₂³	1	1	yes	characteristic
428	#14556039	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	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
436	C₄×C₇₁⋊C₈	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	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
444	C₂×M₁₆×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	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	#97×C₇₁	C₂³	1	1	yes	characteristic
475	#97×C₇₁	C₂³	1	1	yes	characteristic
476	#97×C₇₁	C₂³	1	1	yes	characteristic
477	#97×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	C₂³×D₇₁	C₂²×C₄	1	1	yes	characteristic
486	#11765865	—	4	1	no	—
487	#11765865	—	4	1	no	—
488	#11765865	—	4	1	no	—
489	#11765865	—	4	1	no	—
490	#11765865	—	4	1	no	—
491	#11765865	—	4	1	no	—
492	#11765865	—	4	1	no	—
493	#11765865	—	4	1	no	—
494	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
495	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
496	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
497	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
498	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
499	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
500	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
501	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
503	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
504	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
505	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
506	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
507	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
508	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
509	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
510	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
511	C₂×D₂₈₄	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	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
526	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
527	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₇₁	—	4	1	no	—
529	C₂×C₄×D₇₁	—	4	1	no	—
530	C₂×C₄×D₇₁	—	4	1	no	—
531	C₂×C₄×D₇₁	—	4	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
541	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
543	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
545	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
546	#11765849	—	4	1	no	—
547	#11765849	—	4	1	no	—
548	#11765848	—	2	2	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	#11765848	—	4	1	no	—
560	C₂×C₇₁⋊C₈	—	4	1	no	—
561	C₂×C₇₁⋊C₈	—	4	1	no	—
562	C₂×C₇₁⋊C₈	—	4	1	no	—
563	C₂×C₇₁⋊C₈	—	4	1	no	—
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	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
572	C₈×D₇₁	—	2	2	no	—
573	C₈×D₇₁	—	2	2	no	—
574	C₈×D₇₁	—	4	1	no	—
575	C₈×D₇₁	—	4	1	no	—
576	C₈×D₇₁	—	4	1	no	—
577	C₈×D₇₁	—	4	1	no	—
578	C₈×D₇₁	—	4	1	no	—
579	C₈×D₇₁	—	4	1	no	—
580	C₈×D₇₁	—	4	1	no	—
581	C₈×D₇₁	—	4	1	no	—
582	C₈×D₇₁	—	4	1	no	—
583	C₈×D₇₁	—	4	1	no	—
584	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
585	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊Dic₇₁	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	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	Dic₇₁⋊C₄	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	(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	(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	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
649	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
650	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
651	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
652	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
653	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
654	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
655	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
656	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
657	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
658	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
659	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
660	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
661	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
662	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
663	M₁₆×C₇₁	—	2	2	no	—
664	M₁₆×C₇₁	—	2	2	no	—
665	M₁₆×C₇₁	—	4	1	no	—
666	M₁₆×C₇₁	—	4	1	no	—
667	C₂×C₈×C₇₁	—	2	2	no	—
668	C₂×C₈×C₇₁	—	4	1	no	—
669	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
670	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
671	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
672	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
673	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
674	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
675	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
676	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
677	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
681	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
682	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
683	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
684	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
685	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
686	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
693	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
694	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
697	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
698	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
699	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
700	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
701	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
702	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
703	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
704	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
705	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
706	C₂²×D₇₁	—	4	1	no	—
707	C₂²×D₇₁	—	4	1	no	—
708	C₂²×D₇₁	—	4	1	no	—
709	C₂²×D₇₁	—	4	1	no	—
710	C₂²×D₇₁	—	4	1	no	—
711	C₂²×D₇₁	—	4	1	no	—
712	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
713	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
714	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
715	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
716	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
717	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
718	Q₈×C₇₁	—	4	1	no	—
719	D₄×C₇₁	—	4	1	no	—
720	D₄×C₇₁	—	4	1	no	—
721	D₄×C₇₁	—	4	1	no	—
722	C₂×C₄×C₇₁	—	2	1	no	—
723	C₂×C₄×C₇₁	—	2	1	no	—
724	C₂×C₄×C₇₁	—	2	1	no	—
725	C₂×C₄×C₇₁	—	2	1	no	—
726	C₂×C₄×C₇₁	—	2	1	no	—
727	C₂×C₄×C₇₁	—	2	1	no	—
728	C₂×C₄×C₇₁	—	4	1	no	—
729	C₂×C₄×C₇₁	—	4	1	no	—
730	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
731	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
732	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
733	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
734	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
735	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
736	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
737	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
738	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
739	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
740	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
741	C₂×C₄×C₇₁	C₂⁵	1	1	yes	characteristic
742	C₂²⋊D₇₁	—	4	1	no	—
743	C₂²⋊D₇₁	—	4	1	no	—
744	C₂²⋊D₇₁	—	4	1	no	—
745	C₂²⋊D₇₁	—	4	1	no	—
746	C₂²⋊D₇₁	—	4	1	no	—
747	C₂²⋊D₇₁	—	4	1	no	—
748	C₂²⋊D₇₁	—	4	1	no	—
749	C₂²⋊D₇₁	—	4	1	no	—
750	C₂²⋊D₇₁	—	4	1	no	—
751	C₂²⋊D₇₁	—	4	1	no	—
752	C₂²⋊D₇₁	—	4	1	no	—
753	C₂²⋊D₇₁	—	4	1	no	—
754	C₂²⋊D₇₁	—	4	1	no	—
755	C₂²⋊D₇₁	—	4	1	no	—
756	C₂×Dic₇₁	—	4	1	no	—
757	C₂×Dic₇₁	—	4	1	no	—
758	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
759	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
760	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
761	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
762	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
763	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
764	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
765	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
766	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
767	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
768	D₂₈₄	—	4	1	no	—
769	D₂₈₄	—	4	1	no	—
770	D₂₈₄	—	4	1	no	—
771	D₂₈₄	—	4	1	no	—
772	D₂₈₄	—	4	1	no	—
773	D₂₈₄	—	4	1	no	—
774	D₂₈₄	—	4	1	no	—
775	D₂₈₄	—	4	1	no	—
776	D₂₈₄	—	4	1	no	—
777	D₂₈₄	—	4	1	no	—
778	D₂₈₄	—	4	1	no	—
779	D₂₈₄	—	4	1	no	—
780	D₂₈₄	—	4	1	no	—
781	C₄×D₇₁	—	2	1	no	—
782	C₄×D₇₁	—	2	1	no	—
783	C₄×D₇₁	—	2	1	no	—
784	C₄×D₇₁	—	2	1	no	—
785	C₄×D₇₁	—	2	1	no	—
786	C₄×D₇₁	—	2	1	no	—
787	C₄×D₇₁	—	2	1	no	—
788	C₄×D₇₁	—	2	1	no	—
789	C₄×D₇₁	—	2	1	no	—
790	C₄×D₇₁	—	2	1	no	—
791	C₄×D₇₁	—	2	1	no	—
792	C₄×D₇₁	—	2	1	no	—
793	C₄×D₇₁	—	4	1	no	—
794	C₄×D₇₁	—	4	1	no	—
795	C₄×D₇₁	—	4	1	no	—
796	C₄×D₇₁	—	4	1	no	—
797	C₄×D₇₁	—	4	1	no	—
798	C₄×D₇₁	—	4	1	no	—
799	C₄×D₇₁	—	4	1	no	—
800	C₄×D₇₁	—	4	1	no	—
801	Dic₁₄₂	—	4	1	no	—
802	Dic₁₄₂	—	4	1	no	—
803	Dic₁₄₂	—	4	1	no	—
804	Dic₁₄₂	—	4	1	no	—
805	Dic₁₄₂	—	4	1	no	—
806	C₈×C₇₁	—	2	1	no	—
807	C₈×C₇₁	—	2	1	no	—
808	C₈×C₇₁	—	2	1	no	—
809	C₈×C₇₁	—	2	1	no	—
810	C₈×C₇₁	—	2	1	no	—
811	C₈×C₇₁	—	2	1	no	—
812	C₈×C₇₁	—	2	1	no	—
813	C₈×C₇₁	H(5,𝔽₂)	1	2	yes	—
814	C₇₁⋊C₈	—	2	1	no	—
815	C₇₁⋊C₈	—	2	1	no	—
816	C₇₁⋊C₈	—	2	1	no	—
817	C₇₁⋊C₈	—	2	1	no	—
818	C₇₁⋊C₈	—	2	1	no	—
819	C₇₁⋊C₈	—	2	1	no	—
820	C₇₁⋊C₈	—	2	1	no	—
821	C₇₁⋊C₈	—	2	1	no	—
822	C₂²×C₇₁	—	2	1	no	—
823	C₂²×C₇₁	—	2	1	no	—
824	C₂²×C₇₁	—	2	1	no	—
825	C₂²×C₇₁	—	2	1	no	—
826	C₂²×C₇₁	—	2	1	no	—
827	C₂²×C₇₁	—	2	1	no	—
828	C₂²×C₇₁	—	2	1	no	—
829	C₂²×C₇₁	—	2	1	no	—
830	C₂²×C₇₁	—	2	1	no	—
831	C₂²×C₇₁	C₂⁴×C₄	1	1	yes	characteristic
832	C₂×D₇₁	—	2	1	no	—
833	C₂×D₇₁	—	2	1	no	—
834	C₂×D₇₁	—	2	1	no	—
835	C₂×D₇₁	—	2	1	no	—
836	C₂×D₇₁	—	2	1	no	—
837	C₂×D₇₁	—	2	1	no	—
838	C₂×D₇₁	—	2	1	no	—
839	C₂×D₇₁	—	2	1	no	—
840	C₂×D₇₁	—	2	1	no	—
841	C₂×D₇₁	—	2	1	no	—
842	C₂×D₇₁	—	2	1	no	—
843	C₂×D₇₁	—	2	1	no	—
844	C₂×D₇₁	—	2	1	no	—
845	C₂×D₇₁	—	2	1	no	—
846	C₂×D₇₁	—	2	1	no	—
847	C₂×D₇₁	—	2	1	no	—
848	C₂×D₇₁	—	2	1	no	—
849	C₂×D₇₁	—	2	1	no	—
850	C₂×D₇₁	—	8	2	no	—
851	C₂×D₇₁	—	8	2	no	—
852	C₄×C₇₁	—	2	1	no	—
853	C₄×C₇₁	—	2	1	no	—
854	C₄×C₇₁	—	2	1	no	—
855	C₄×C₇₁	—	2	1	no	—
856	C₄×C₇₁	—	2	1	no	—
857	C₄×C₇₁	—	2	1	no	—
858	C₄×C₇₁	—	2	1	no	—
859	C₄×C₇₁	—	2	1	no	—
860	C₄×C₇₁	—	2	1	no	—
861	C₄×C₇₁	—	2	1	no	—
862	C₄×C₇₁	—	2	1	no	—
863	C₄×C₇₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
864	C₄×C₇₁	#585	1	1	yes	characteristic
865	Dic₇₁	—	2	1	no	—
866	Dic₇₁	—	2	1	no	—
867	Dic₇₁	—	2	1	no	—
868	Dic₇₁	—	2	1	no	—
869	Dic₇₁	—	2	1	no	—
870	Dic₇₁	—	2	1	no	—
871	Dic₇₁	—	2	1	no	—
872	Dic₇₁	—	2	1	no	—
873	Dic₇₁	—	2	1	no	—
874	Dic₇₁	—	2	1	no	—
875	#60327	—	71	1	no	maximal, Sylow
876	C₂×C₇₁	—	4	1	no	—
877	C₂×C₇₁	—	4	1	no	—
878	C₂×C₇₁	—	4	1	no	—
879	C₂×C₇₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
880	C₂×C₇₁	#3573	1	1	yes	characteristic
881	C₂×C₇₁	#3573	1	1	yes	characteristic
882	D₇₁	—	4	1	no	—
883	D₇₁	—	4	1	no	—
884	D₇₁	—	4	1	no	—
885	D₇₁	—	4	1	no	—
886	D₇₁	—	4	1	no	—
887	D₇₁	—	4	1	no	—
888	#3529	—	71	1	no	—
889	#2995	—	71	1	no	—
890	#2995	—	71	1	no	—
891	#2994	—	71	1	no	—
892	#2994	—	71	1	no	—
893	#2992	—	71	1	no	—
894	#2992	—	71	1	no	—
895	#2981	—	71	1	no	—
896	#2981	—	71	1	no	—
897	#2980	—	71	1	no	—
898	#2977	—	71	1	no	—
899	#2977	—	71	1	no	—
900	#2976	—	71	1	no	—
901	#2976	—	71	1	no	—
902	#2976	—	71	1	no	—
903	#2976	—	71	1	no	—
904	#2969	—	71	1	no	—
905	#2969	—	71	1	no	—
906	#2967	—	71	1	no	—
907	#2967	D₇₁	1	1	yes	characteristic, complemented
908	#2966	—	71	1	no	—
909	#2966	—	71	1	no	—
910	#2935	—	71	1	no	—
911	#2935	—	71	1	no	—
912	#2933	—	71	1	no	—
913	#2933	—	71	1	no	—
914	#2933	—	71	1	no	—
915	#2933	—	71	1	no	—
916	#2931	—	71	1	no	—
917	#2930	—	71	1	no	—
918	#2930	—	71	1	no	—
919	C₇₁	#60327	1	1	yes	characteristic, complemented, Sylow
920	C₂×#131	—	71	1	no	—
921	C₂×#131	—	71	1	no	—
922	C₂×#131	—	71	1	no	—
923	C₂×#131	—	71	1	no	—
924	C₂²×M₁₆	—	71	1	no	—
925	C₂²×M₁₆	—	71	1	no	—
926	#563	—	71	1	no	—
927	#563	—	71	1	no	—
928	#563	—	71	1	no	—
929	#562	—	71	1	no	—
930	#562	—	71	1	no	—
931	#562	—	71	1	no	—
932	#562	—	71	1	no	—
933	#562	—	71	1	no	—
934	#562	—	71	1	no	—
935	H(3,𝔽₄)	—	71	1	no	—
936	#560	—	71	1	no	—
937	#560	—	71	1	no	—
938	#560	—	71	1	no	—
939	#560	—	71	1	no	—
940	#560	—	71	1	no	—
941	#560	—	71	1	no	—
942	#532	—	71	1	no	—
943	#532	—	71	1	no	—
944	#532	—	71	1	no	—
945	#529	—	71	1	no	—
946	#529	—	71	1	no	—
947	#529	—	71	1	no	—
948	#529	—	71	1	no	—
949	#529	—	71	1	no	—
950	#529	C₂×D₇₁	1	1	yes	characteristic
951	#525	—	71	1	no	—
952	#525	—	71	1	no	—
953	#525	—	71	1	no	—
954	#525	—	71	1	no	—
955	#525	—	71	1	no	—
956	#525	—	71	1	no	—
957	#446	—	71	1	no	—
958	#446	—	71	1	no	—
959	#446	—	71	1	no	—
960	#446	—	71	1	no	—
961	#446	C₂×D₇₁	1	1	yes	characteristic, complemented
962	#446	C₂×D₇₁	1	1	yes	characteristic, complemented
963	C₈×Q₈	—	71	1	no	—
964	C₈×Q₈	—	71	1	no	—
965	#436	—	71	1	no	—
966	#436	—	71	1	no	—
967	#436	—	71	1	no	—
968	#436	—	71	1	no	—
969	#436	—	71	1	no	—
970	#436	—	71	1	no	—
971	#436	—	71	1	no	—
972	#436	—	71	1	no	—
973	#436	—	71	1	no	—
974	#436	—	71	1	no	—
975	#436	—	71	1	no	—
976	#436	—	71	1	no	—
977	#436	—	71	1	no	—
978	#436	—	71	1	no	—
979	#436	—	71	1	no	—
980	#436	—	71	1	no	—
981	#436	C₂×D₇₁	1	1	yes	characteristic, complemented
982	#436	C₂×D₇₁	1	1	yes	characteristic, complemented
983	#435	—	71	1	no	—
984	#435	—	71	1	no	—
985	#435	—	71	1	no	—
986	#435	—	71	1	no	—
987	#435	—	71	1	no	—
988	#435	—	71	1	no	—
989	#435	—	71	1	no	—
990	#435	—	71	1	no	—
991	#435	—	71	1	no	—
992	#435	—	71	1	no	—
993	#435	—	71	1	no	—
994	#435	—	71	1	no	—
995	#435	—	71	1	no	—
996	#435	—	71	1	no	—
997	#435	—	71	1	no	—
998	#435	—	71	1	no	—
999	#435	—	71	1	no	—
1000	#435	—	71	1	no	—
1001	#435	—	71	1	no	—
1002	#435	—	71	1	no	—
1003	#435	—	71	1	no	—
1004	#435	—	71	1	no	—
1005	#435	—	71	1	no	—
1006	#435	—	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	C₂×D₇₁	1	1	yes	characteristic
1016	#435	C₂×D₇₁	1	1	yes	characteristic
1017	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1018	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1019	C₈×D₄	—	71	1	no	—
1020	C₈×D₄	—	71	1	no	—
1021	C₈×D₄	—	71	1	no	—
1022	C₈×D₄	—	71	1	no	—
1023	C₈×D₄	—	71	1	no	—
1024	C₈×D₄	—	71	1	no	—
1025	C₈×D₄	—	71	1	no	—
1026	C₈×D₄	—	71	1	no	—
1027	C₈×D₄	—	71	1	no	—
1028	C₈×D₄	—	71	1	no	—
1029	C₈×D₄	—	71	1	no	—
1030	C₈×D₄	—	71	1	no	—
1031	C₈×D₄	—	71	1	no	—
1032	C₈×D₄	—	71	1	no	—
1033	C₈×D₄	—	71	1	no	—
1034	C₈×D₄	—	71	1	no	—
1035	C₈×D₄	—	71	1	no	—
1036	C₈×D₄	—	71	1	no	—
1037	#433	—	71	1	no	—
1038	#433	—	71	1	no	—
1039	#433	—	71	1	no	—
1040	#433	—	71	1	no	—
1041	#433	—	71	1	no	—
1042	#433	—	71	1	no	—
1043	#433	—	71	1	no	—
1044	#433	—	71	1	no	—
1045	#433	—	71	1	no	—
1046	#433	—	71	1	no	—
1047	#433	C₂×D₇₁	1	1	yes	characteristic, complemented
1048	#433	C₂×D₇₁	1	1	yes	characteristic, complemented
1049	#432	—	71	1	no	—
1050	#432	—	71	1	no	—
1051	#432	—	71	1	no	—
1052	#432	C₂×D₇₁	1	1	yes	characteristic, complemented
1053	#431	—	71	1	no	—
1054	#431	—	71	1	no	—
1055	#424	—	71	1	no	—
1056	#424	—	71	1	no	—
1057	#424	—	71	1	no	—
1058	#424	—	71	1	no	—
1059	#424	—	71	1	no	—
1060	#424	—	71	1	no	—
1061	#423	—	71	1	no	—
1062	C₂×C₄⋊C₈	—	71	1	no	—
1063	C₂×C₄⋊C₈	—	71	1	no	—
1064	#408	—	71	1	no	—
1065	#408	—	71	1	no	—
1066	#408	—	71	1	no	—
1067	#408	—	71	1	no	—
1068	#408	—	71	1	no	—
1069	#408	—	71	1	no	—
1070	#408	—	71	1	no	—
1071	#408	—	71	1	no	—
1072	#408	—	71	1	no	—
1073	#408	—	71	1	no	—
1074	#408	—	71	1	no	—
1075	#408	—	71	1	no	—
1076	#407	—	71	1	no	—
1077	#407	—	71	1	no	—
1078	C₂×C₂²⋊C₈	—	71	1	no	—
1079	C₂×C₂²⋊C₈	—	71	1	no	—
1080	C₂×C₂²⋊C₈	—	71	1	no	—
1081	C₂×C₂²⋊C₈	—	71	1	no	—
1082	#405	—	71	1	no	—
1083	#405	—	71	1	no	—
1084	#405	—	71	1	no	—
1085	#405	—	71	1	no	—
1086	#405	C₂×D₇₁	1	1	yes	characteristic, complemented
1087	#405	C₂×D₇₁	1	1	yes	characteristic, complemented
1088	C₄×M₁₆	—	71	1	no	—
1089	C₄×M₁₆	C₂×D₇₁	1	1	yes	characteristic, complemented
1090	C₂×C₄×C₈	—	71	1	no	—
1091	C₂×#41	—	71	1	no	—
1092	C₂×#41	—	71	1	no	—
1093	C₂×#41	—	71	1	no	—
1094	C₂×#41	—	71	1	no	—
1095	C₂³×C₄	—	71	1	no	—
1096	C₂³×C₄	—	71	1	no	—
1097	#131	—	284	2	no	—
1098	#131	—	284	2	no	—
1099	#131	—	284	2	no	—
1100	#131	—	284	2	no	—
1101	C₂×M₁₆	—	284	2	no	—
1102	C₂×M₁₆	—	284	2	no	—
1103	C₂×M₁₆	—	71	1	no	—
1104	C₂×M₁₆	—	71	1	no	—
1105	C₂×M₁₆	—	71	1	no	—
1106	C₂×M₁₆	—	71	1	no	—
1107	C₂×M₁₆	—	71	1	no	—
1108	C₂×M₁₆	—	71	1	no	—
1109	C₂×M₁₆	—	71	1	no	—
1110	C₂×M₁₆	—	71	1	no	—
1111	C₂×M₁₆	—	71	1	no	—
1112	C₂×M₁₆	—	71	1	no	—
1113	C₂×M₁₆	—	71	1	no	—
1114	C₂×M₁₆	—	71	1	no	—
1115	C₂×M₁₆	—	71	1	no	—
1116	C₂×M₁₆	—	71	1	no	—
1117	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1118	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1119	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1120	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1121	C₂²×C₈	—	71	1	no	—
1122	C₂²×C₈	—	71	1	no	—
1123	C₂²×C₈	—	71	1	no	—
1124	C₂²×C₈	—	71	1	no	—
1125	C₂²×C₈	—	71	1	no	—
1126	C₂²×C₈	—	71	1	no	—
1127	C₂²×C₈	—	71	1	no	—
1128	C₂²×C₈	—	71	1	no	—
1129	C₂²×C₈	—	71	1	no	—
1130	C₂²×C₈	—	71	1	no	—
1131	C₂²×C₈	—	71	1	no	—
1132	C₂²×C₈	—	71	1	no	—
1133	C₂²×C₈	—	71	1	no	—
1134	C₂²×C₈	—	71	1	no	—
1135	C₂²×C₈	—	71	1	no	—
1136	C₂²×C₈	—	71	1	no	—
1137	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1138	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1139	C₄⋊Q₈	—	71	1	no	—
1140	C₄⋊Q₈	—	71	1	no	—
1141	C₄⋊Q₈	—	71	1	no	—
1142	#127	—	71	1	no	—
1143	#127	—	71	1	no	—
1144	#127	—	71	1	no	—
1145	#126	—	71	1	no	—
1146	#126	—	71	1	no	—
1147	#126	—	71	1	no	—
1148	#126	—	71	1	no	—
1149	#126	—	71	1	no	—
1150	#126	—	71	1	no	—
1151	#126	—	71	1	no	—
1152	#126	—	71	1	no	—
1153	#126	—	71	1	no	—
1154	#126	—	71	1	no	—
1155	#126	C₄×D₇₁	1	1	yes	characteristic
1156	#126	C₄×D₇₁	1	1	yes	characteristic
1157	#125	—	71	1	no	—
1158	#125	—	71	1	no	—
1159	#125	—	71	1	no	—
1160	#125	—	71	1	no	—
1161	#125	—	71	1	no	—
1162	#125	C₄×D₇₁	1	1	yes	characteristic
1163	#124	—	71	1	no	—
1164	#124	—	71	1	no	—
1165	#124	—	71	1	no	—
1166	#124	—	71	1	no	—
1167	#124	—	71	1	no	—
1168	#124	—	71	1	no	—
1169	#124	—	71	1	no	—
1170	#124	—	71	1	no	—
1171	#124	—	71	1	no	—
1172	#124	—	71	1	no	—
1173	#124	—	71	1	no	—
1174	#124	C₄×D₇₁	1	1	yes	characteristic
1175	#123	—	71	1	no	—
1176	#123	—	71	1	no	—
1177	#123	—	71	1	no	—
1178	#123	—	71	1	no	—
1179	#123	—	71	1	no	—
1180	#123	—	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	#123	C₄×D₇₁	1	1	yes	characteristic
1198	#123	C₄×D₇₁	1	1	yes	characteristic
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	C₂²⋊Q₈	—	71	1	no	—
1210	C₂²⋊Q₈	—	71	1	no	—
1211	C₂²⋊Q₈	—	71	1	no	—
1212	C₂²⋊Q₈	—	71	1	no	—
1213	C₂²⋊Q₈	—	71	1	no	—
1214	C₂²⋊Q₈	—	71	1	no	—
1215	C₂²⋊Q₈	—	71	1	no	—
1216	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
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	#121	—	71	1	no	—
1226	#121	—	71	1	no	—
1227	#121	—	71	1	no	—
1228	#121	—	71	1	no	—
1229	#121	—	71	1	no	—
1230	#121	—	71	1	no	—
1231	#121	—	71	1	no	—
1232	#121	—	71	1	no	—
1233	#121	—	71	1	no	—
1234	#121	—	71	1	no	—
1235	#121	—	71	1	no	—
1236	#121	—	71	1	no	—
1237	#121	—	71	1	no	—
1238	#121	—	71	1	no	—
1239	#121	—	71	1	no	—
1240	#121	—	71	1	no	—
1241	#121	—	71	1	no	—
1242	#121	—	71	1	no	—
1243	#121	—	71	1	no	—
1244	#121	—	71	1	no	—
1245	#121	—	71	1	no	—
1246	#121	C₄×D₇₁	1	1	yes	characteristic
1247	#120	—	71	1	no	—
1248	#120	—	71	1	no	—
1249	#120	—	71	1	no	—
1250	#120	—	71	1	no	—
1251	#120	—	71	1	no	—
1252	#120	—	71	1	no	—
1253	#120	—	71	1	no	—
1254	#120	—	71	1	no	—
1255	#120	—	71	1	no	—
1256	#120	—	71	1	no	—
1257	#120	—	71	1	no	—
1258	#120	—	71	1	no	—
1259	C₄×Q₈	—	71	1	no	—
1260	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
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	—	71	1	no	—
1270	C₄×D₄	—	71	1	no	—
1271	C₄×D₄	—	71	1	no	—
1272	C₄×D₄	—	71	1	no	—
1273	C₄×D₄	—	71	1	no	—
1274	C₄×D₄	—	71	1	no	—
1275	C₄×D₄	—	71	1	no	—
1276	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1277	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1278	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1279	#117	—	71	1	no	—
1280	#117	—	71	1	no	—
1281	#117	—	71	1	no	—
1282	#117	—	71	1	no	—
1283	#117	C₂²×D₇₁	1	1	yes	characteristic
1284	#117	C₂²×D₇₁	1	1	yes	characteristic
1285	C₂×C₄²	—	71	1	no	—
1286	C₂×C₄²	—	71	1	no	—
1287	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
1288	C₄⋊C₈	—	71	1	no	—
1289	C₄⋊C₈	—	71	1	no	—
1290	C₄⋊C₈	—	71	1	no	—
1291	C₄⋊C₈	—	71	1	no	—
1292	C₄⋊C₈	—	71	1	no	—
1293	C₄⋊C₈	—	71	1	no	—
1294	C₄⋊C₈	—	71	1	no	—
1295	C₄⋊C₈	—	71	1	no	—
1296	C₄⋊C₈	—	71	1	no	—
1297	C₄⋊C₈	—	71	1	no	—
1298	C₄⋊C₈	—	71	1	no	—
1299	C₄⋊C₈	—	71	1	no	—
1300	C₄⋊C₈	—	71	1	no	—
1301	C₄⋊C₈	—	71	1	no	—
1302	C₄⋊C₈	—	71	1	no	—
1303	C₄⋊C₈	—	71	1	no	—
1304	C₄⋊C₈	—	71	1	no	—
1305	C₄⋊C₈	—	71	1	no	—
1306	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1307	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1308	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1309	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1310	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1311	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1312	C₂²⋊C₈	—	71	1	no	—
1313	C₂²⋊C₈	—	71	1	no	—
1314	C₂²⋊C₈	—	71	1	no	—
1315	C₂²⋊C₈	—	71	1	no	—
1316	C₂²⋊C₈	—	71	1	no	—
1317	C₂²⋊C₈	—	71	1	no	—
1318	C₂²⋊C₈	—	71	1	no	—
1319	C₂²⋊C₈	—	71	1	no	—
1320	C₂²⋊C₈	—	71	1	no	—
1321	C₂²⋊C₈	—	71	1	no	—
1322	C₂²⋊C₈	—	71	1	no	—
1323	C₂²⋊C₈	—	71	1	no	—
1324	C₂²⋊C₈	—	71	1	no	—
1325	C₂²⋊C₈	—	71	1	no	—
1326	C₂²⋊C₈	—	71	1	no	—
1327	C₂²⋊C₈	—	71	1	no	—
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	C₂²×D₇₁	1	1	yes	characteristic
1343	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1344	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1345	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1346	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1347	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1348	#97	—	71	1	no	—
1349	#97	—	71	1	no	—
1350	#97	—	71	1	no	—
1351	#97	—	71	1	no	—
1352	#97	—	71	1	no	—
1353	#97	—	71	1	no	—
1354	#97	C₂²×D₇₁	1	1	yes	characteristic
1355	#97	C₂²×D₇₁	1	1	yes	characteristic
1356	#97	C₂²×D₇₁	1	1	yes	characteristic
1357	#97	C₂²×D₇₁	1	1	yes	characteristic
1358	#97	C₂²×D₇₁	1	1	yes	characteristic
1359	#97	C₂²×D₇₁	1	1	yes	characteristic
1360	C₄×C₈	—	71	1	no	—
1361	C₄×C₈	—	71	1	no	—
1362	C₄×C₈	—	71	1	no	—
1363	C₄×C₈	—	71	1	no	—
1364	C₄×C₈	—	71	1	no	—
1365	C₄×C₈	—	71	1	no	—
1366	C₄×C₈	—	71	1	no	—
1367	C₄×C₈	—	71	1	no	—
1368	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1369	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1370	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1371	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1372	C₂⁴	—	71	1	no	—
1373	C₂⁴	—	71	1	no	—
1374	#41	—	284	1	no	—
1375	#41	—	284	1	no	—
1376	#41	—	284	1	no	—
1377	#41	—	284	1	no	—
1378	#41	—	284	1	no	—
1379	#41	—	284	1	no	—
1380	#41	—	284	1	no	—
1381	#41	—	284	1	no	—
1382	C₂×Q₈	—	71	1	no	—
1383	C₂×Q₈	—	71	1	no	—
1384	C₂×Q₈	—	71	1	no	—
1385	C₂×Q₈	—	71	1	no	—
1386	C₂×Q₈	—	71	1	no	—
1387	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1388	C₂×D₄	—	71	1	no	—
1389	C₂×D₄	—	71	1	no	—
1390	C₂×D₄	—	71	1	no	—
1391	C₂×D₄	—	71	1	no	—
1392	C₂×D₄	—	71	1	no	—
1393	C₂×D₄	—	71	1	no	—
1394	C₂×D₄	—	71	1	no	—
1395	C₂×D₄	—	71	1	no	—
1396	C₂×D₄	—	71	1	no	—
1397	C₂×D₄	—	71	1	no	—
1398	C₂×D₄	—	71	1	no	—
1399	C₂×D₄	—	71	1	no	—
1400	C₂×D₄	—	71	1	no	—
1401	C₂×D₄	—	71	1	no	—
1402	C₂×D₄	—	71	1	no	—
1403	C₂×D₄	—	71	1	no	—
1404	C₂×D₄	—	71	1	no	—
1405	C₂×D₄	—	71	1	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	C₂×C₄×D₇₁	1	1	yes	characteristic
1416	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1417	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1418	C₂²×C₄	—	284	1	no	—
1419	C₂²×C₄	—	284	1	no	—
1420	C₂²×C₄	—	284	1	no	—
1421	C₂²×C₄	—	284	1	no	—
1422	C₂²×C₄	—	71	1	no	—
1423	C₂²×C₄	—	71	1	no	—
1424	C₂²×C₄	—	71	1	no	—
1425	C₂²×C₄	—	71	1	no	—
1426	C₂²×C₄	—	71	1	no	—
1427	C₂²×C₄	—	71	1	no	—
1428	C₂²×C₄	—	71	1	no	—
1429	C₂²×C₄	—	71	1	no	—
1430	C₂²×C₄	—	71	1	no	—
1431	C₂²×C₄	—	71	1	no	—
1432	C₂²×C₄	—	71	1	no	—
1433	C₂²×C₄	—	71	1	no	—
1434	C₂²×C₄	—	71	1	no	—
1435	C₂²×C₄	—	71	1	no	—
1436	C₂²×C₄	—	71	1	no	—
1437	C₂²×C₄	—	71	1	no	—
1438	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1439	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1440	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1441	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1442	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1443	M₁₆	—	2	2	no	—
1444	M₁₆	—	2	2	no	—
1445	M₁₆	—	4	1	no	—
1446	M₁₆	—	4	1	no	—
1447	M₁₆	—	284	1	no	—
1448	M₁₆	—	284	1	no	—
1449	M₁₆	—	284	1	no	—
1450	M₁₆	—	284	1	no	—
1451	M₁₆	—	284	1	no	—
1452	M₁₆	—	284	1	no	—
1453	M₁₆	—	284	1	no	—
1454	M₁₆	—	284	1	no	—
1455	M₁₆	—	284	1	no	—
1456	M₁₆	—	284	1	no	—
1457	M₁₆	—	142	2	no	—
1458	M₁₆	—	142	2	no	—
1459	M₁₆	—	142	2	no	—
1460	M₁₆	—	142	2	no	—
1461	C₂×C₈	—	2	2	no	—
1462	C₂×C₈	—	4	1	no	—
1463	C₂×C₈	—	284	1	no	—
1464	C₂×C₈	—	284	1	no	—
1465	C₂×C₈	—	284	1	no	—
1466	C₂×C₈	—	284	1	no	—
1467	C₂×C₈	—	284	1	no	—
1468	C₂×C₈	—	284	1	no	—
1469	C₂×C₈	—	284	1	no	—
1470	C₂×C₈	—	284	1	no	—
1471	C₂×C₈	—	284	1	no	—
1472	C₂×C₈	—	284	1	no	—
1473	C₂×C₈	—	284	1	no	—
1474	C₂×C₈	—	284	1	no	—
1475	C₂×C₈	—	284	1	no	—
1476	C₂×C₈	—	284	1	no	—
1477	C₂×C₈	—	71	1	no	—
1478	C₂×C₈	—	71	1	no	—
1479	C₂×C₈	—	71	1	no	—
1480	C₂×C₈	—	71	1	no	—
1481	C₂×C₈	—	71	1	no	—
1482	C₂×C₈	—	71	1	no	—
1483	C₂×C₈	—	71	1	no	—
1484	C₂×C₈	—	71	1	no	—
1485	C₂×C₈	—	142	2	no	—
1486	C₂×C₈	—	142	2	no	—
1487	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1488	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1489	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1490	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1491	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1492	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1493	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1494	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1495	C₄⋊C₄	—	71	1	no	—
1496	C₄⋊C₄	—	71	1	no	—
1497	C₄⋊C₄	—	71	1	no	—
1498	C₄⋊C₄	—	71	1	no	—
1499	C₄⋊C₄	—	71	1	no	—
1500	C₄⋊C₄	—	71	1	no	—
1501	C₄⋊C₄	—	71	1	no	—
1502	C₄⋊C₄	—	71	1	no	—
1503	C₄⋊C₄	—	71	1	no	—
1504	C₄⋊C₄	—	71	1	no	—
1505	C₄⋊C₄	—	71	1	no	—
1506	C₄⋊C₄	—	71	1	no	—
1507	C₄⋊C₄	—	71	1	no	—
1508	C₄⋊C₄	—	71	1	no	—
1509	C₄⋊C₄	—	71	1	no	—
1510	C₄⋊C₄	—	71	1	no	—
1511	C₄⋊C₄	—	71	1	no	—
1512	C₄⋊C₄	—	71	1	no	—
1513	C₄⋊C₄	—	71	1	no	—
1514	C₄⋊C₄	—	71	1	no	—
1515	C₄⋊C₄	—	71	1	no	—
1516	C₄⋊C₄	—	71	1	no	—
1517	C₄⋊C₄	—	71	1	no	—
1518	C₄⋊C₄	—	71	1	no	—
1519	C₄⋊C₄	—	71	1	no	—
1520	C₄⋊C₄	—	71	1	no	—
1521	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1522	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1523	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1524	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1525	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1526	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1527	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1528	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1529	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1530	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1531	C₂²⋊C₄	—	71	1	no	—
1532	C₂²⋊C₄	—	71	1	no	—
1533	C₂²⋊C₄	—	71	1	no	—
1534	C₂²⋊C₄	—	71	1	no	—
1535	C₂²⋊C₄	—	71	1	no	—
1536	C₂²⋊C₄	—	71	1	no	—
1537	C₂²⋊C₄	—	71	1	no	—
1538	C₂²⋊C₄	—	71	1	no	—
1539	C₂²⋊C₄	—	71	1	no	—
1540	C₂²⋊C₄	—	71	1	no	—
1541	C₂²⋊C₄	—	71	1	no	—
1542	C₂²⋊C₄	—	71	1	no	—
1543	C₂²⋊C₄	—	71	1	no	—
1544	C₂²⋊C₄	—	71	1	no	—
1545	C₂²⋊C₄	—	71	1	no	—
1546	C₂²⋊C₄	—	71	1	no	—
1547	C₂²⋊C₄	—	71	1	no	—
1548	C₂²⋊C₄	—	71	1	no	—
1549	C₂²⋊C₄	—	71	1	no	—
1550	C₂²⋊C₄	—	71	1	no	—
1551	C₂²⋊C₄	—	71	1	no	—
1552	C₂²⋊C₄	—	71	1	no	—
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	C₂×C₄×D₇₁	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1576	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1579	C₄²	—	71	1	no	—
1580	C₄²	—	71	1	no	—
1581	C₄²	—	71	1	no	—
1582	C₄²	—	71	1	no	—
1583	C₄²	—	71	1	no	—
1584	C₄²	—	71	1	no	—
1585	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1586	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1587	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1588	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1589	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1590	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1591	C₂³	—	284	1	no	—
1592	C₂³	—	284	1	no	—
1593	C₂³	—	284	1	no	—
1594	C₂³	—	284	1	no	—
1595	C₂³	—	284	1	no	—
1596	C₂³	—	284	1	no	—
1597	C₂³	—	71	1	no	—
1598	C₂³	—	71	1	no	—
1599	C₂³	—	71	1	no	—
1600	C₂³	—	71	1	no	—
1601	C₂³	—	71	1	no	—
1602	C₂³	—	71	1	no	—
1603	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1604	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1605	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1606	Q₈	—	4	1	no	—
1607	Q₈	—	284	1	no	—
1608	Q₈	—	284	1	no	—
1609	Q₈	—	284	1	no	—
1610	Q₈	—	284	1	no	—
1611	Q₈	—	284	1	no	—
1612	D₄	—	4	1	no	—
1613	D₄	—	4	1	no	—
1614	D₄	—	4	1	no	—
1615	D₄	—	284	1	no	—
1616	D₄	—	284	1	no	—
1617	D₄	—	284	1	no	—
1618	D₄	—	284	1	no	—
1619	D₄	—	284	1	no	—
1620	D₄	—	284	1	no	—
1621	D₄	—	284	1	no	—
1622	D₄	—	284	1	no	—
1623	D₄	—	284	1	no	—
1624	D₄	—	284	1	no	—
1625	D₄	—	284	1	no	—
1626	D₄	—	284	1	no	—
1627	D₄	—	284	1	no	—
1628	D₄	—	284	1	no	—
1629	D₄	—	284	1	no	—
1630	D₄	—	284	1	no	—
1631	D₄	—	284	1	no	—
1632	D₄	—	284	1	no	—
1633	D₄	—	284	1	no	—
1634	D₄	—	284	1	no	—
1635	D₄	—	284	1	no	—
1636	D₄	—	284	1	no	—
1637	D₄	—	284	1	no	—
1638	D₄	—	284	1	no	—
1639	D₄	—	284	1	no	—
1640	D₄	—	284	1	no	—
1641	D₄	—	284	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	4	1	no	—
1649	C₂×C₄	—	4	1	no	—
1650	C₂×C₄	—	284	1	no	—
1651	C₂×C₄	—	284	1	no	—
1652	C₂×C₄	—	284	1	no	—
1653	C₂×C₄	—	284	1	no	—
1654	C₂×C₄	—	284	1	no	—
1655	C₂×C₄	—	284	1	no	—
1656	C₂×C₄	—	284	1	no	—
1657	C₂×C₄	—	284	1	no	—
1658	C₂×C₄	—	284	1	no	—
1659	C₂×C₄	—	284	1	no	—
1660	C₂×C₄	—	71	1	no	—
1661	C₂×C₄	—	71	1	no	—
1662	C₂×C₄	—	71	1	no	—
1663	C₂×C₄	—	71	1	no	—
1664	C₂×C₄	—	71	1	no	—
1665	C₂×C₄	—	71	1	no	—
1666	C₂×C₄	—	71	1	no	—
1667	C₂×C₄	—	71	1	no	—
1668	C₂×C₄	—	71	1	no	—
1669	C₂×C₄	—	71	1	no	—
1670	C₂×C₄	—	142	1	no	—
1671	C₂×C₄	—	142	1	no	—
1672	C₂×C₄	—	142	1	no	—
1673	C₂×C₄	—	142	1	no	—
1674	C₂×C₄	—	142	1	no	—
1675	C₂×C₄	—	142	1	no	—
1676	C₂×C₄	—	142	1	no	—
1677	C₂×C₄	—	142	1	no	—
1678	C₂×C₄	—	142	1	no	—
1679	C₂×C₄	—	142	1	no	—
1680	C₂×C₄	—	142	1	no	—
1681	C₂×C₄	—	142	1	no	—
1682	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1683	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1684	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1685	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1686	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1687	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1688	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1689	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1690	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1691	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1692	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1693	C₂×C₄	C₂⁴×D₇₁	1	1	yes	characteristic
1694	C₈	—	2	1	no	—
1695	C₈	—	2	1	no	—
1696	C₈	—	2	1	no	—
1697	C₈	—	2	1	no	—
1698	C₈	—	2	1	no	—
1699	C₈	—	2	1	no	—
1700	C₈	—	2	1	no	—
1701	C₈	—	142	1	no	—
1702	C₈	—	142	1	no	—
1703	C₈	—	142	1	no	—
1704	C₈	—	142	1	no	—
1705	C₈	—	142	1	no	—
1706	C₈	—	142	1	no	—
1707	C₈	—	142	1	no	—
1708	C₈	—	142	1	no	—
1709	C₈	#14556174	1	2	yes	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	2	1	no	—
1719	C₂²	—	568	2	no	—
1720	C₂²	—	568	2	no	—
1721	C₂²	—	142	1	no	—
1722	C₂²	—	142	1	no	—
1723	C₂²	—	142	1	no	—
1724	C₂²	—	142	1	no	—
1725	C₂²	—	142	1	no	—
1726	C₂²	—	142	1	no	—
1727	C₂²	—	142	1	no	—
1728	C₂²	—	142	1	no	—
1729	C₂²	—	142	1	no	—
1730	C₂²	—	142	1	no	—
1731	C₂²	—	142	1	no	—
1732	C₂²	—	142	1	no	—
1733	C₂²	—	142	1	no	—
1734	C₂²	—	142	1	no	—
1735	C₂²	—	142	1	no	—
1736	C₂²	—	142	1	no	—
1737	C₂²	—	142	1	no	—
1738	C₂²	—	142	1	no	—
1739	C₂²	C₂³×C₄×D₇₁	1	1	yes	characteristic
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	2	1	no	—
1751	C₄	—	142	1	no	—
1752	C₄	—	142	1	no	—
1753	C₄	—	142	1	no	—
1754	C₄	—	142	1	no	—
1755	C₄	—	142	1	no	—
1756	C₄	—	142	1	no	—
1757	C₄	—	142	1	no	—
1758	C₄	—	142	1	no	—
1759	C₄	—	142	1	no	—
1760	C₄	—	142	1	no	—
1761	C₄	C₂×#14556174	1	1	yes	characteristic
1762	C₄	#17986835	1	1	yes	characteristic
1763	C₂	—	4	1	no	—
1764	C₂	—	4	1	no	—
1765	C₂	—	4	1	no	—
1766	C₂	—	284	1	no	—
1767	C₂	—	284	1	no	—
1768	C₂	—	284	1	no	—
1769	C₂	—	284	1	no	—
1770	C₂	—	284	1	no	—
1771	C₂	—	284	1	no	—
1772	C₂	C₄×#14556174	1	1	yes	characteristic
1773	C₂	#22603053	1	1	yes	characteristic
1774	C₂	#22603053	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₁
commutator, socle	C₂²×C₇₁	C₂⁴×C₄
Fitting	C₇₁×#2967	C₂
prime radical	#22602479	C₂
cosocle	C₂×C₄×C₇₁	C₂⁵
hypercenter	#2967	D₇₁
hypocenter	C₇₁	#60327
LCS	G ▷ C₂²×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂×C₄ ◁ #2967

Complements

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

N	H ≅ G/N	type
2. #22597509	C₂	semidirect
3. #22597505	C₂	semidirect
4. #22597503	C₂	semidirect
5. #22597500	C₂	semidirect
6. #22597481	C₂	semidirect
7. #22597474	C₂	semidirect
8. #22597418	C₂	semidirect
9. #22597417	C₂	semidirect
10. #22597408	C₂	semidirect
11. #22597395	C₂	semidirect
12. #22597391	C₂	semidirect
13. #22597389	C₂	semidirect
14. #22597387	C₂	semidirect
15. #22597386	C₂	semidirect
16. #22597384	C₂	semidirect
17. #22597344	C₂	semidirect
18. #22597340	C₂	semidirect
19. #22597324	C₂	semidirect
20. #22597314	C₂	semidirect
21. #22597311	C₂	semidirect
22. #22597086	C₂	semidirect
23. #22597081	C₂	semidirect
24. #22597068	C₂	semidirect
25. #22597066	C₂	semidirect
26. #22597066	C₂	semidirect
27. #22597063	C₂	semidirect
28. #22597049	C₂	semidirect
29. #22597045	C₂	semidirect
30. #22597040	C₂	semidirect
31. C₇₁×#2967	C₂	semidirect
34. C₂×#14556136	C₂²	semidirect
36. C₂²×#11765848	C₂²	semidirect
37. C₂×M₁₆×D₇₁	C₂²	semidirect
68. #17986130	C₂²	semidirect
69. #17986129	C₂²	semidirect
70. #17986127	C₂²	semidirect
71. #17986127	C₂²	semidirect
72. Q₈×C₇₁⋊C₈	C₂²	semidirect
73. C₈×Dic₁₄₂	C₂²	semidirect
76. #17986078	C₂²	semidirect
77. #17986078	C₂²	semidirect
78. #17986078	C₂²	semidirect
79. #17986078	C₂²	semidirect
82. #17986076	C₂²	semidirect
83. #17986076	C₂²	semidirect
86. #17986075	C₂²	semidirect
87. #17986075	C₂²	semidirect
88. #17986075	C₂²	semidirect
89. #17986074	C₂²	semidirect
92. #17986073	C₂²	semidirect
97. #17986072	C₂²	semidirect
98. #17986072	C₂²	semidirect
99. #17986072	C₂²	semidirect
100. #17986072	C₂²	semidirect
101. #17986072	C₂²	semidirect
102. #17986072	C₂²	semidirect
103. #17986072	C₂²	semidirect
104. #17986072	C₂²	semidirect
105. #17986072	C₂²	semidirect
106. #17986072	C₂²	semidirect
107. #17986071	C₂²	semidirect
108. #17986071	C₂²	semidirect
109. #17986070	C₂²	semidirect
112. #17986069	C₂²	semidirect
113. #17986069	C₂²	semidirect
114. #17986068	C₂²	semidirect
115. #17986068	C₂²	semidirect
116. #17986068	C₂²	semidirect
119. #17986067	C₂²	semidirect
120. #17986067	C₂²	semidirect
121. #17986067	C₂²	semidirect
124. C₈×D₂₈₄	C₂²	semidirect
125. C₈×D₂₈₄	C₂²	semidirect
127. D₄×C₇₁⋊C₈	C₂²	semidirect
128. D₄×C₇₁⋊C₈	C₂²	semidirect
130. #17986064	C₂²	semidirect
131. #17986064	C₂²	semidirect
132. #17986064	C₂²	semidirect
133. #17986064	C₂²	semidirect
136. C₈×C₂²⋊D₇₁	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. #17986061	C₂²	semidirect
143. #17986060	C₂²	semidirect
144. #17986060	C₂²	semidirect
145. #17986059	C₂²	semidirect
146. #17986059	C₂²	semidirect
147. #17986059	C₂²	semidirect
148. #17986059	C₂²	semidirect
149. #17986058	C₂²	semidirect
150. #17986055	C₂²	semidirect
151. #17986055	C₂²	semidirect
152. #17986054	C₂²	semidirect
153. #17986052	C₂²	semidirect
154. #17986050	C₂²	semidirect
155. #17986026	C₂²	semidirect
156. #17986026	C₂²	semidirect
157. #17986024	C₂²	semidirect
158. #17986024	C₂²	semidirect
159. #17986024	C₂²	semidirect
160. #17986024	C₂²	semidirect
161. #17986021	C₂²	semidirect
162. C₂×C₄⋊(C₇₁⋊C₈)	C₂²	semidirect
163. C₄⋊C₈×D₇₁	C₂²	semidirect
166. #17985967	C₂²	semidirect
174. #17985964	C₂²	semidirect
175. #17985964	C₂²	semidirect
176. #17985962	C₂²	semidirect
177. #17985961	C₂²	semidirect
178. C₂×(C₂×D₇₁)⋊C₈	C₂²	semidirect
179. C₂²⋊C₈×D₇₁	C₂²	semidirect
180. C₂²⋊C₈×D₇₁	C₂²	semidirect
181. C₂²⋊C₈×D₇₁	C₂²	semidirect
182. #17985956	C₂²	semidirect
183. #17985956	C₂²	semidirect
184. #17985956	C₂²	semidirect
185. #17985953	C₂²	semidirect
186. #17985951	C₂²	semidirect
187. C₄×C₈×D₇₁	C₂²	semidirect
189. #446×C₇₁	C₂²	semidirect
190. #446×C₇₁	C₂²	semidirect
191. #436×C₇₁	C₂²	semidirect
192. #436×C₇₁	C₂²	semidirect
195. #435×C₇₁	C₂²	semidirect
196. #435×C₇₁	C₂²	semidirect
197. #433×C₇₁	C₂²	semidirect
198. #433×C₇₁	C₂²	semidirect
199. #432×C₇₁	C₂²	semidirect
200. #405×C₇₁	C₂²	semidirect
201. #405×C₇₁	C₂²	semidirect
202. C₄×M₁₆×C₇₁	C₂²	semidirect
907. #2967	D₇₁	semidirect
919. C₇₁	#60327	semidirect
961. #446	C₂×D₇₁	semidirect
962. #446	C₂×D₇₁	semidirect
981. #436	C₂×D₇₁	semidirect
982. #436	C₂×D₇₁	semidirect
1017. #435	C₂×D₇₁	semidirect
1018. #435	C₂×D₇₁	semidirect
1047. #433	C₂×D₇₁	semidirect
1048. #433	C₂×D₇₁	semidirect
1052. #432	C₂×D₇₁	semidirect
1086. #405	C₂×D₇₁	semidirect
1087. #405	C₂×D₇₁	semidirect
1089. C₄×M₁₆	C₂×D₇₁	semidirect

Maximal subgroups

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

subgroup	index
#22602479	2
#22597509	2
#22597505	2
#22597503	2
#22597500	2
#22597481	2
#22597474	2
#22597418	2
#22597417	2
#22597408	2
#22597395	2
#22597391	2
#22597389	2
#22597387	2
#22597386	2
#22597384	2
#22597344	2
#22597340	2
#22597324	2
#22597314	2
#22597311	2
#22597086	2
#22597081	2
#22597068	2
#22597066	2
#22597063	2
#22597049	2
#22597045	2
#22597040	2
C₇₁×#2967	2
#60327	71