Subgroups — #32863726

Order 18176.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22602487	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	#22597499	C₂	1	1	yes	maximal, characteristic, complemented
5	#22597494	C₂	1	1	yes	maximal, characteristic, complemented
6	#22597491	C₂	1	1	yes	maximal, characteristic, complemented
7	#22597491	C₂	1	1	yes	maximal, characteristic, complemented
8	#22597488	C₂	1	1	yes	maximal, characteristic, complemented
9	#22597483	C₂	1	1	yes	maximal, characteristic, complemented
10	#22597478	C₂	1	1	yes	maximal, characteristic, complemented
11	#22597474	C₂	1	1	yes	maximal, characteristic, complemented
12	#22597443	C₂	1	1	yes	maximal, characteristic, complemented
13	#22597440	C₂	1	1	yes	maximal, characteristic, complemented
14	#22597433	C₂	1	1	yes	maximal, characteristic, complemented
15	#22597431	C₂	1	1	yes	maximal, characteristic, complemented
16	#22597343	C₂	1	1	yes	maximal, characteristic, complemented
17	#22597342	C₂	1	1	yes	maximal, characteristic, complemented
18	#22597333	C₂	1	1	yes	maximal, characteristic, complemented
19	#22597332	C₂	1	1	yes	maximal, characteristic, complemented
20	#22597329	C₂	1	1	yes	maximal, characteristic, complemented
21	#22597329	C₂	1	1	yes	maximal, characteristic, complemented
22	#22597324	C₂	1	1	yes	maximal, characteristic, complemented
23	#22597323	C₂	1	1	yes	maximal, characteristic, complemented
24	#22597317	C₂	1	1	yes	maximal, characteristic, complemented
25	#22597313	C₂	1	1	yes	maximal, characteristic, complemented
26	#22597285	C₂	1	1	yes	maximal, characteristic, complemented
27	#22597282	C₂	1	1	yes	maximal, characteristic, complemented
28	#22597281	C₂	1	1	yes	maximal, characteristic, complemented
29	#22597276	C₂	1	1	yes	maximal, characteristic, complemented
30	#22597269	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₁×#2986	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇₁⋊#564	C₄	1	1	yes	characteristic
33	#17986753	C₄	1	1	yes	characteristic
34	#17986753	C₄	1	1	yes	characteristic
35	#17986750	C₄	1	1	yes	characteristic
36	#17986750	C₄	1	1	yes	characteristic
37	#17986750	C₄	1	1	yes	characteristic
38	#17986750	C₄	1	1	yes	characteristic
39	#17986748	C₄	1	1	yes	characteristic
40	#17986748	C₄	1	1	yes	characteristic
41	#17986748	C₄	1	1	yes	characteristic
42	#17986748	C₄	1	1	yes	characteristic
43	#17986747	C₄	1	1	yes	characteristic
44	#17986745	C₄	1	1	yes	characteristic
45	#17986745	C₄	1	1	yes	characteristic
46	#17986745	C₄	1	1	yes	characteristic
47	#17986745	C₄	1	1	yes	characteristic
48	#17986553	C₂²	1	1	yes	characteristic
49	#17986553	C₂²	1	1	yes	characteristic
50	#17986553	C₂²	1	1	yes	characteristic
51	#17986553	C₂²	1	1	yes	characteristic
52	#17986536	C₂²	1	1	yes	characteristic
53	#17986536	C₂²	1	1	yes	characteristic
54	#17986536	C₂²	1	1	yes	characteristic
55	#17986536	C₂²	1	1	yes	characteristic
56	#17986533	C₂²	1	1	yes	characteristic
57	#17986533	C₂²	1	1	yes	characteristic
58	#17986527	C₂²	1	1	yes	characteristic
59	#17986527	C₂²	1	1	yes	characteristic
60	#17986527	C₂²	1	1	yes	characteristic
61	#17986527	C₂²	1	1	yes	characteristic
62	#17986130	C₂²	1	1	yes	characteristic
63	#17986130	C₂²	1	1	yes	characteristic
64	#17986130	C₂²	1	1	yes	characteristic
65	#17986130	C₂²	1	1	yes	characteristic
66	#17986130	C₂²	1	1	yes	characteristic
67	#17986130	C₂²	1	1	yes	characteristic
68	#17986130	C₂²	1	1	yes	characteristic
69	#17986130	C₂²	1	1	yes	characteristic
70	#17986129	C₂²	1	1	yes	characteristic
71	#17986129	C₂²	1	1	yes	characteristic
72	#17986129	C₂²	1	1	yes	characteristic
73	#17986129	C₂²	1	1	yes	characteristic
74	#17986128	C₂²	1	1	yes	characteristic
75	#17986128	C₂²	1	1	yes	characteristic
76	#17986128	C₂²	1	1	yes	characteristic
77	#17986128	C₂²	1	1	yes	characteristic
78	#17986128	C₂²	1	1	yes	characteristic
79	#17986128	C₂²	1	1	yes	characteristic
80	#17986128	C₂²	1	1	yes	characteristic
81	#17986128	C₂²	1	1	yes	characteristic
82	#17986127	C₂²	1	1	yes	characteristic
83	#17986127	C₂²	1	1	yes	characteristic
84	#17986127	C₂²	1	1	yes	characteristic
85	#17986127	C₂²	1	1	yes	characteristic
86	#17986126	C₂²	1	1	yes	characteristic
87	#17986126	C₂²	1	1	yes	characteristic
88	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic
89	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic
90	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic
91	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic
92	#17986123	C₂²	1	1	yes	characteristic
93	#17986123	C₂²	1	1	yes	characteristic
94	#17986078	C₂²	1	1	yes	characteristic
95	#17986078	C₂²	1	1	yes	characteristic
96	#17986078	C₂²	1	1	yes	characteristic
97	#17986078	C₂²	1	1	yes	characteristic
98	#17986076	C₂²	1	1	yes	characteristic
99	#17986076	C₂²	1	1	yes	characteristic
100	#17986074	C₂²	1	1	yes	characteristic
101	#17986074	C₂²	1	1	yes	characteristic
102	#17986074	C₂²	1	1	yes	characteristic
103	#17986074	C₂²	1	1	yes	characteristic
104	#17986073	C₂²	1	1	yes	characteristic
105	#17986073	C₂²	1	1	yes	characteristic
106	#17986073	C₂²	1	1	yes	characteristic
107	#17986073	C₂²	1	1	yes	characteristic
108	#17986072	C₂²	1	1	yes	characteristic
109	#17986072	C₂²	1	1	yes	characteristic
110	#17986072	C₂²	1	1	yes	characteristic
111	#17986072	C₂²	1	1	yes	characteristic
112	#17986069	C₂²	1	1	yes	characteristic
113	#17986069	C₂²	1	1	yes	characteristic
114	#17986069	C₂²	1	1	yes	characteristic
115	#17986069	C₂²	1	1	yes	characteristic
116	#17986069	C₂²	1	1	yes	characteristic
117	#17986069	C₂²	1	1	yes	characteristic
118	#17986069	C₂²	1	1	yes	characteristic
119	#17986069	C₂²	1	1	yes	characteristic
120	#17986067	C₂²	1	1	yes	characteristic
121	#17986067	C₂²	1	1	yes	characteristic
122	#17986067	C₂²	1	1	yes	characteristic
123	#17986067	C₂²	1	1	yes	characteristic
124	C₈×D₂₈₄	C₂²	1	1	yes	characteristic
125	C₈×D₂₈₄	C₂²	1	1	yes	characteristic
126	C₈×D₂₈₄	C₂²	1	1	yes	characteristic
127	C₈×D₂₈₄	C₂²	1	1	yes	characteristic
128	#17986064	C₂²	1	1	yes	characteristic
129	#17986064	C₂²	1	1	yes	characteristic
130	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic
131	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic
132	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic
133	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic
134	#17986061	C₂²	1	1	yes	characteristic
135	#17986061	C₂²	1	1	yes	characteristic
136	#17986059	C₂²	1	1	yes	characteristic
137	#17986059	C₂²	1	1	yes	characteristic
138	#17986059	C₂²	1	1	yes	characteristic
139	#17986059	C₂²	1	1	yes	characteristic
140	#17986059	C₂²	1	1	yes	characteristic
141	#17986059	C₂²	1	1	yes	characteristic
142	#17986059	C₂²	1	1	yes	characteristic
143	#17986059	C₂²	1	1	yes	characteristic
144	#17986058	C₂²	1	1	yes	characteristic
145	#17986058	C₂²	1	1	yes	characteristic
146	#17986058	C₂²	1	1	yes	characteristic
147	#17986058	C₂²	1	1	yes	characteristic
148	#17986058	C₂²	1	1	yes	characteristic
149	#17986058	C₂²	1	1	yes	characteristic
150	#17986055	C₂²	1	1	yes	characteristic
151	#17986055	C₂²	1	1	yes	characteristic
152	#17986054	C₂²	1	1	yes	characteristic
153	#17986054	C₂²	1	1	yes	characteristic
154	#17986051	C₂²	1	1	yes	characteristic
155	#17986051	C₂²	1	1	yes	characteristic
156	#17986050	C₂²	1	1	yes	characteristic
157	#17986050	C₂²	1	1	yes	characteristic
158	#17986026	C₂²	1	1	yes	characteristic
159	#17986026	C₂²	1	1	yes	characteristic
160	#17986024	C₂²	1	1	yes	characteristic
161	#17986024	C₂²	1	1	yes	characteristic
162	#17986024	C₂²	1	1	yes	characteristic
163	#17986024	C₂²	1	1	yes	characteristic
164	#17986024	C₂²	1	1	yes	characteristic
165	#17986024	C₂²	1	1	yes	characteristic
166	#17986024	C₂²	1	1	yes	characteristic
167	#17986024	C₂²	1	1	yes	characteristic
168	#17986023	C₂²	1	1	yes	characteristic
169	#17986021	C₂²	1	1	yes	characteristic
170	#17986021	C₂²	1	1	yes	characteristic
171	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
172	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
173	#17985956	C₂²	1	1	yes	characteristic
174	#17985956	C₂²	1	1	yes	characteristic
175	#17985955	C₂²	1	1	yes	characteristic
176	#17985955	C₂²	1	1	yes	characteristic
177	#17985953	C₂²	1	1	yes	characteristic
178	#17985953	C₂²	1	1	yes	characteristic
179	#17985953	C₂²	1	1	yes	characteristic
180	#17985953	C₂²	1	1	yes	characteristic
181	#17985953	C₂²	1	1	yes	characteristic
182	#17985953	C₂²	1	1	yes	characteristic
183	#17985951	C₂²	1	1	yes	characteristic
184	C₄×#11765848	C₂²	1	1	yes	characteristic
185	C₂×#14556039	C₂²	1	1	yes	characteristic
186	#97×D₇₁	C₂²	1	1	yes	characteristic
187	C₄×C₈×D₇₁	C₂²	1	1	yes	characteristic
188	#533×C₇₁	C₂²	1	1	yes	characteristic
189	#446×C₇₁	C₂²	1	1	yes	characteristic
190	#446×C₇₁	C₂²	1	1	yes	characteristic
191	#446×C₇₁	C₂²	1	1	yes	characteristic
192	#446×C₇₁	C₂²	1	1	yes	characteristic
193	C₈×Q₈×C₇₁	C₂²	1	1	yes	characteristic
194	C₈×Q₈×C₇₁	C₂²	1	1	yes	characteristic
195	C₈×Q₈×C₇₁	C₂²	1	1	yes	characteristic
196	C₈×Q₈×C₇₁	C₂²	1	1	yes	characteristic
197	#433×C₇₁	C₂²	1	1	yes	characteristic
198	#433×C₇₁	C₂²	1	1	yes	characteristic
199	#433×C₇₁	C₂²	1	1	yes	characteristic
200	#433×C₇₁	C₂²	1	1	yes	characteristic
201	#431×C₇₁	C₂²	1	1	yes	characteristic
202	#431×C₇₁	C₂²	1	1	yes	characteristic
203	C₂×#11765849	C₂³	1	1	yes	characteristic
204	C₂×#11765849	C₂³	1	1	yes	characteristic
205	C₂×#11765848	C₂³	1	1	yes	characteristic
206	C₂×#11765848	C₂³	1	1	yes	characteristic
207	C₂×#11765848	C₂³	1	1	yes	characteristic
208	C₂×#11765848	C₂³	1	1	yes	characteristic
209	C₂×#11765848	C₂³	1	1	yes	characteristic
210	C₂×#11765848	C₂³	1	1	yes	characteristic
211	C₂×#11765848	C₂³	1	1	yes	characteristic
212	C₂×#11765848	C₂³	1	1	yes	characteristic
213	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
214	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
215	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
216	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
217	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
218	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
219	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
220	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
221	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
222	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
223	#14556127	C₂×C₄	1	1	yes	characteristic
224	#14556127	C₂×C₄	1	1	yes	characteristic
225	#14556127	C₂×C₄	1	1	yes	characteristic
226	#14556127	C₂×C₄	1	1	yes	characteristic
227	#14556126	C₂×C₄	1	1	yes	characteristic
228	#14556126	C₂×C₄	1	1	yes	characteristic
229	#14556126	C₂×C₄	1	1	yes	characteristic
230	#14556126	C₂×C₄	1	1	yes	characteristic
231	#14556123	C₂×C₄	1	1	yes	characteristic
232	#14556123	C₂×C₄	1	1	yes	characteristic
233	#14556123	C₂×C₄	1	1	yes	characteristic
234	#14556123	C₂×C₄	1	1	yes	characteristic
235	#14556123	C₂×C₄	1	1	yes	characteristic
236	#14556123	C₂×C₄	1	1	yes	characteristic
237	#14556123	C₂×C₄	1	1	yes	characteristic
238	#14556123	C₂×C₄	1	1	yes	characteristic
239	#14556123	C₂×C₄	1	1	yes	characteristic
240	#14556123	C₂×C₄	1	1	yes	characteristic
241	#14556123	C₂×C₄	1	1	yes	characteristic
242	#14556123	C₂×C₄	1	1	yes	characteristic
243	#14556122	C₂×C₄	1	1	yes	characteristic
244	#14556122	C₂×C₄	1	1	yes	characteristic
245	#14556122	C₂×C₄	1	1	yes	characteristic
246	#14556122	C₂×C₄	1	1	yes	characteristic
247	#14556121	C₂×C₄	1	1	yes	characteristic
248	#14556121	C₂×C₄	1	1	yes	characteristic
249	#14556121	C₂×C₄	1	1	yes	characteristic
250	#14556121	C₂×C₄	1	1	yes	characteristic
251	#14556120	C₂×C₄	1	1	yes	characteristic
252	#14556120	C₂×C₄	1	1	yes	characteristic
253	#14556119	C₂×C₄	1	1	yes	characteristic
254	#14556119	C₂×C₄	1	1	yes	characteristic
255	#14556119	C₂×C₄	1	1	yes	characteristic
256	#14556119	C₂×C₄	1	1	yes	characteristic
257	#14556118	C₂×C₄	1	1	yes	characteristic
258	#14556118	C₂×C₄	1	1	yes	characteristic
259	#14556118	C₂×C₄	1	1	yes	characteristic
260	#14556118	C₂×C₄	1	1	yes	characteristic
261	#14556118	C₂×C₄	1	1	yes	characteristic
262	#14556118	C₂×C₄	1	1	yes	characteristic
263	#14556118	C₂×C₄	1	1	yes	characteristic
264	#14556118	C₂×C₄	1	1	yes	characteristic
265	#14556118	C₂×C₄	1	1	yes	characteristic
266	#14556118	C₂×C₄	1	1	yes	characteristic
267	#14556118	C₂×C₄	1	1	yes	characteristic
268	#14556118	C₂×C₄	1	1	yes	characteristic
269	#14556117	C₂×C₄	1	1	yes	characteristic
270	#14556117	C₂×C₄	1	1	yes	characteristic
271	#14556117	C₂×C₄	1	1	yes	characteristic
272	#14556117	C₂×C₄	1	1	yes	characteristic
273	#14556116	C₂×C₄	1	1	yes	characteristic
274	#14556116	C₂×C₄	1	1	yes	characteristic
275	#14556114	C₂×C₄	1	1	yes	characteristic
276	#14556114	C₂×C₄	1	1	yes	characteristic
277	#14556114	C₂×C₄	1	1	yes	characteristic
278	#14556114	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	#14556113	C₂×C₄	1	1	yes	characteristic
288	#14556113	C₂×C₄	1	1	yes	characteristic
289	#14556113	C₂×C₄	1	1	yes	characteristic
290	#14556113	C₂×C₄	1	1	yes	characteristic
291	#14556111	C₂×C₄	1	1	yes	characteristic
292	#14556111	C₂×C₄	1	1	yes	characteristic
293	#14556111	C₂×C₄	1	1	yes	characteristic
294	#14556111	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	#14556107	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	#14556106	C₂×C₄	1	1	yes	characteristic
311	#14556106	C₂×C₄	1	1	yes	characteristic
312	#14556106	C₂×C₄	1	1	yes	characteristic
313	#14556106	C₂×C₄	1	1	yes	characteristic
314	#14556106	C₂×C₄	1	1	yes	characteristic
315	#14556106	C₂×C₄	1	1	yes	characteristic
316	#14556106	C₂×C₄	1	1	yes	characteristic
317	#14556104	C₂×C₄	1	1	yes	characteristic
318	#14556104	C₂×C₄	1	1	yes	characteristic
319	#14556104	C₂×C₄	1	1	yes	characteristic
320	#14556104	C₂×C₄	1	1	yes	characteristic
321	#14556104	C₂×C₄	1	1	yes	characteristic
322	#14556104	C₂×C₄	1	1	yes	characteristic
323	#14556104	C₂×C₄	1	1	yes	characteristic
324	#14556104	C₂×C₄	1	1	yes	characteristic
325	#14556103	C₂×C₄	1	1	yes	characteristic
326	#14556103	C₂×C₄	1	1	yes	characteristic
327	#14556103	C₂×C₄	1	1	yes	characteristic
328	#14556103	C₂×C₄	1	1	yes	characteristic
329	#14556102	C₂×C₄	1	1	yes	characteristic
330	#14556102	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	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
336	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
337	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
338	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
339	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
340	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
341	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
342	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
343	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
344	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
345	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
346	C₄×D₂₈₄	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	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
351	#14556085	C₂³	1	1	yes	characteristic
352	#14556085	C₂³	1	1	yes	characteristic
353	#14556085	C₂³	1	1	yes	characteristic
354	#14556085	C₂³	1	1	yes	characteristic
355	#14556085	C₂³	1	1	yes	characteristic
356	#14556085	C₂³	1	1	yes	characteristic
357	#14556085	C₂³	1	1	yes	characteristic
358	#14556085	C₂³	1	1	yes	characteristic
359	C₄²×D₇₁	C₂³	1	1	yes	characteristic
360	C₄²×D₇₁	C₂³	1	1	yes	characteristic
361	C₄²×D₇₁	C₂³	1	1	yes	characteristic
362	C₄²×D₇₁	C₂³	1	1	yes	characteristic
363	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
364	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
365	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
366	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
367	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
368	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
369	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
370	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
371	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
372	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
373	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
374	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
375	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
376	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
377	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
378	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
379	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
380	Dic₇₁⋊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	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
392	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
393	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
394	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
395	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
396	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
397	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
398	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
399	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
400	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
401	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
402	(C₂×D₇₁)⋊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	#14556039	C₂³	1	1	yes	characteristic
408	#14556039	C₂³	1	1	yes	characteristic
409	#14556039	C₂³	1	1	yes	characteristic
410	#14556039	C₂³	1	1	yes	characteristic
411	#14556039	C₂³	1	1	yes	characteristic
412	#14556039	C₂³	1	1	yes	characteristic
413	#14556039	C₂³	1	1	yes	characteristic
414	#14556039	C₂³	1	1	yes	characteristic
415	#14556038	C₂³	1	1	yes	characteristic
416	#14556038	C₂³	1	1	yes	characteristic
417	#14556038	C₂³	1	1	yes	characteristic
418	#14556038	C₂³	1	1	yes	characteristic
419	#14556038	C₂³	1	1	yes	characteristic
420	#14556038	C₂³	1	1	yes	characteristic
421	#14556038	C₂³	1	1	yes	characteristic
422	#14556038	C₂³	1	1	yes	characteristic
423	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
424	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
425	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
426	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
427	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
428	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
429	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
430	C₈×Dic₇₁	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	C₄⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
436	C₄⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
437	#125×C₇₁	C₂×C₄	1	1	yes	characteristic
438	#125×C₇₁	C₂×C₄	1	1	yes	characteristic
439	C₂²⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
440	C₂²⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
441	C₂²⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
442	C₂²⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
443	C₄×Q₈×C₇₁	C₂³	1	1	yes	characteristic
444	C₄×Q₈×C₇₁	C₂³	1	1	yes	characteristic
445	C₄×Q₈×C₇₁	C₂³	1	1	yes	characteristic
446	C₄×Q₈×C₇₁	C₂³	1	1	yes	characteristic
447	#117×C₇₁	C₂³	1	1	yes	characteristic
448	#117×C₇₁	C₂³	1	1	yes	characteristic
449	C₂×C₄²×C₇₁	C₂³	1	1	yes	characteristic
450	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
451	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
452	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
453	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
454	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
455	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
456	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
457	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
458	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
459	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
460	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
461	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
462	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
466	#97×C₇₁	C₂³	1	1	yes	characteristic
467	#97×C₇₁	C₂³	1	1	yes	characteristic
468	#97×C₇₁	C₂³	1	1	yes	characteristic
469	#97×C₇₁	C₂³	1	1	yes	characteristic
470	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
471	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
478	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
479	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
480	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
481	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
482	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
483	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
484	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
485	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
486	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
487	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
488	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
491	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
492	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
493	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
494	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
495	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
496	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
503	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
504	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
505	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
506	#11765849	—	4	1	no	—
507	#11765849	—	4	1	no	—
508	#11765848	—	2	2	no	—
509	#11765848	—	2	2	no	—
510	#11765848	—	4	1	no	—
511	#11765848	—	4	1	no	—
512	#11765848	—	4	1	no	—
513	#11765848	—	4	1	no	—
514	#11765848	—	4	1	no	—
515	#11765848	—	4	1	no	—
516	C₂×C₇₁⋊C₈	—	2	2	no	—
517	C₂×C₇₁⋊C₈	—	4	1	no	—
518	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
526	C₈×D₇₁	—	2	2	no	—
527	C₈×D₇₁	—	2	2	no	—
528	C₈×D₇₁	—	4	1	no	—
529	C₈×D₇₁	—	4	1	no	—
530	C₈×D₇₁	—	4	1	no	—
531	C₈×D₇₁	—	4	1	no	—
532	C₈×D₇₁	—	4	1	no	—
533	C₈×D₇₁	—	4	1	no	—
534	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
535	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
536	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
537	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
538	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
539	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
540	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
541	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
542	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
543	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
544	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
545	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
546	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
547	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
549	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
550	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
579	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
580	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
581	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
582	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
615	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
616	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
617	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
618	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
619	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
620	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
621	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
622	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
623	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
624	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
625	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
626	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
627	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
628	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
629	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
630	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
631	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
632	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
637	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
638	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
639	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
640	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
641	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
642	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
643	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
644	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
645	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
647	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
648	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
649	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
650	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
651	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
652	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
653	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
654	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
655	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
656	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
657	C₂²⋊C₄×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	C₂²×C₄	1	1	yes	characteristic
661	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
662	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
663	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
664	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
665	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
666	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
667	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
668	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
669	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
670	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
671	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
672	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
673	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
674	Q₈×C₇₁	—	4	1	no	—
675	Q₈×C₇₁	—	4	1	no	—
676	Q₈×C₇₁	—	4	1	no	—
677	Q₈×C₇₁	—	4	1	no	—
678	C₂×C₄×C₇₁	—	2	1	no	—
679	C₂×C₄×C₇₁	—	2	1	no	—
680	C₂×C₄×C₇₁	—	4	1	no	—
681	C₂×C₄×C₇₁	—	4	1	no	—
682	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
683	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
684	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
685	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
686	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
687	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
688	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
689	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
690	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
691	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
692	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
693	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
694	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
695	C₂×C₄×C₇₁	C₂⁵	1	1	yes	characteristic
696	C₂²⋊D₇₁	—	4	1	no	—
697	C₂²⋊D₇₁	—	4	1	no	—
698	C₂²⋊D₇₁	—	4	1	no	—
699	C₂²⋊D₇₁	—	4	1	no	—
700	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
701	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
702	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
703	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
704	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
705	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
706	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
707	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
708	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
709	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
710	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
711	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
712	D₂₈₄	—	4	1	no	—
713	D₂₈₄	—	4	1	no	—
714	D₂₈₄	—	4	1	no	—
715	D₂₈₄	—	4	1	no	—
716	D₂₈₄	—	4	1	no	—
717	D₂₈₄	—	4	1	no	—
718	C₄×D₇₁	—	2	1	no	—
719	C₄×D₇₁	—	2	1	no	—
720	C₄×D₇₁	—	2	1	no	—
721	C₄×D₇₁	—	2	1	no	—
722	C₄×D₇₁	—	2	1	no	—
723	C₄×D₇₁	—	2	1	no	—
724	C₄×D₇₁	—	2	1	no	—
725	C₄×D₇₁	—	2	1	no	—
726	C₄×D₇₁	—	4	1	no	—
727	C₄×D₇₁	—	4	1	no	—
728	C₄×D₇₁	—	4	1	no	—
729	C₄×D₇₁	—	4	1	no	—
730	C₄×D₇₁	—	4	1	no	—
731	C₄×D₇₁	—	4	1	no	—
732	C₄×D₇₁	—	4	1	no	—
733	C₄×D₇₁	—	4	1	no	—
734	Dic₁₄₂	—	4	1	no	—
735	Dic₁₄₂	—	4	1	no	—
736	Dic₁₄₂	—	4	1	no	—
737	Dic₁₄₂	—	4	1	no	—
738	Dic₁₄₂	—	4	1	no	—
739	Dic₁₄₂	—	4	1	no	—
740	C₈×C₇₁	—	2	1	no	—
741	C₈×C₇₁	—	2	1	no	—
742	C₈×C₇₁	—	2	1	no	—
743	C₈×C₇₁	—	2	1	no	—
744	C₈×C₇₁	—	2	1	no	—
745	C₈×C₇₁	—	2	1	no	—
746	C₈×C₇₁	—	2	1	no	—
747	C₈×C₇₁	—	2	1	no	—
748	C₇₁⋊C₈	—	2	1	no	—
749	C₇₁⋊C₈	—	2	1	no	—
750	C₇₁⋊C₈	—	2	1	no	—
751	C₇₁⋊C₈	—	2	1	no	—
752	C₇₁⋊C₈	—	2	1	no	—
753	C₇₁⋊C₈	—	2	1	no	—
754	C₇₁⋊C₈	—	2	1	no	—
755	C₇₁⋊C₈	2₋¹⁺⁴	1	2	yes	—
756	C₂²×C₇₁	—	2	1	no	—
757	C₂²×C₇₁	—	2	1	no	—
758	C₂²×C₇₁	—	2	1	no	—
759	C₂²×C₇₁	C₂⁴×C₄	1	1	yes	characteristic
760	C₂×D₇₁	—	2	1	no	—
761	C₂×D₇₁	—	2	1	no	—
762	C₂×D₇₁	—	2	1	no	—
763	C₂×D₇₁	—	2	1	no	—
764	C₂×D₇₁	—	2	1	no	—
765	C₂×D₇₁	—	2	1	no	—
766	C₂×D₇₁	—	2	1	no	—
767	C₂×D₇₁	—	2	1	no	—
768	C₂×D₇₁	—	2	1	no	—
769	C₂×D₇₁	—	2	1	no	—
770	C₂×D₇₁	—	2	1	no	—
771	C₂×D₇₁	—	2	1	no	—
772	C₄×C₇₁	—	2	1	no	—
773	C₄×C₇₁	—	2	1	no	—
774	C₄×C₇₁	—	2	1	no	—
775	C₄×C₇₁	—	2	1	no	—
776	C₄×C₇₁	—	2	1	no	—
777	C₄×C₇₁	—	2	1	no	—
778	C₄×C₇₁	—	2	1	no	—
779	C₄×C₇₁	—	2	1	no	—
780	C₄×C₇₁	—	2	1	no	—
781	C₄×C₇₁	—	2	1	no	—
782	C₄×C₇₁	—	2	1	no	—
783	C₄×C₇₁	—	2	1	no	—
784	C₄×C₇₁	—	2	1	no	—
785	C₄×C₇₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
786	C₄×C₇₁	#585	1	1	yes	characteristic
787	Dic₇₁	—	2	1	no	—
788	Dic₇₁	—	2	1	no	—
789	Dic₇₁	—	2	1	no	—
790	Dic₇₁	—	2	1	no	—
791	Dic₇₁	—	2	1	no	—
792	Dic₇₁	—	2	1	no	—
793	Dic₇₁	—	2	1	no	—
794	Dic₇₁	—	2	1	no	—
795	Dic₇₁	—	2	1	no	—
796	Dic₇₁	—	2	1	no	—
797	Dic₇₁	—	2	1	no	—
798	Dic₇₁	—	2	1	no	—
799	#60346	—	71	1	no	maximal, Sylow
800	C₂×C₇₁	—	4	1	no	—
801	C₂×C₇₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
802	C₂×C₇₁	#3573	1	1	yes	characteristic
803	C₂×C₇₁	#3573	1	1	yes	characteristic
804	D₇₁	—	4	1	no	—
805	D₇₁	—	4	1	no	—
806	D₇₁	—	4	1	no	—
807	D₇₁	—	4	1	no	—
808	#3531	—	71	1	no	—
809	#2995	—	71	1	no	—
810	#2995	—	71	1	no	—
811	#2994	—	71	1	no	—
812	#2994	—	71	1	no	—
813	#2993	—	71	1	no	—
814	#2993	—	71	1	no	—
815	#2993	—	71	1	no	—
816	#2993	—	71	1	no	—
817	#2992	—	71	1	no	—
818	#2992	—	71	1	no	—
819	#2987	—	71	1	no	—
820	#2986	—	71	1	no	—
821	#2986	D₇₁	1	1	yes	characteristic, complemented
822	#2985	—	71	1	no	—
823	#2985	—	71	1	no	—
824	#2969	—	71	1	no	—
825	#2969	—	71	1	no	—
826	#2968	—	71	1	no	—
827	#2968	—	71	1	no	—
828	#2968	—	71	1	no	—
829	#2968	—	71	1	no	—
830	#2967	—	71	1	no	—
831	#2967	—	71	1	no	—
832	#2966	—	71	1	no	—
833	#2966	—	71	1	no	—
834	#2962	—	71	1	no	—
835	#2962	—	71	1	no	—
836	#2961	—	71	1	no	—
837	#2961	—	71	1	no	—
838	#2960	—	71	1	no	—
839	C₇₁	#60346	1	1	yes	characteristic, complemented, Sylow
840	#564	—	71	1	no	—
841	#563	—	71	1	no	—
842	#563	—	71	1	no	—
843	#563	—	71	1	no	—
844	#563	—	71	1	no	—
845	#563	—	71	1	no	—
846	#563	—	71	1	no	—
847	#563	—	71	1	no	—
848	#563	—	71	1	no	—
849	#563	—	71	1	no	—
850	#563	—	71	1	no	—
851	#562	—	71	1	no	—
852	#562	—	71	1	no	—
853	#562	—	71	1	no	—
854	#562	—	71	1	no	—
855	#562	—	71	1	no	—
856	#533	—	71	1	no	—
857	#533	—	71	1	no	—
858	#533	—	71	1	no	—
859	#533	—	71	1	no	—
860	#533	C₂×D₇₁	1	1	yes	characteristic
861	#529	—	71	1	no	—
862	#529	—	71	1	no	—
863	#529	—	71	1	no	—
864	#529	—	71	1	no	—
865	#529	—	71	1	no	—
866	#529	—	71	1	no	—
867	#529	—	71	1	no	—
868	#529	—	71	1	no	—
869	#529	—	71	1	no	—
870	#529	—	71	1	no	—
871	#446	—	71	1	no	—
872	#446	—	71	1	no	—
873	#446	—	71	1	no	—
874	#446	—	71	1	no	—
875	#446	—	71	1	no	—
876	#446	—	71	1	no	—
877	#446	—	71	1	no	—
878	#446	—	71	1	no	—
879	#446	—	71	1	no	—
880	#446	—	71	1	no	—
881	#446	—	71	1	no	—
882	#446	—	71	1	no	—
883	#446	—	71	1	no	—
884	#446	—	71	1	no	—
885	#446	—	71	1	no	—
886	#446	—	71	1	no	—
887	#446	—	71	1	no	—
888	#446	—	71	1	no	—
889	#446	—	71	1	no	—
890	#446	—	71	1	no	—
891	#446	—	71	1	no	—
892	#446	—	71	1	no	—
893	#446	—	71	1	no	—
894	#446	—	71	1	no	—
895	#446	—	71	1	no	—
896	#446	—	71	1	no	—
897	#446	C₂×D₇₁	1	1	yes	characteristic
898	#446	C₂×D₇₁	1	1	yes	characteristic
899	#446	C₂×D₇₁	1	1	yes	characteristic
900	#446	C₂×D₇₁	1	1	yes	characteristic
901	C₈×Q₈	—	71	1	no	—
902	C₈×Q₈	—	71	1	no	—
903	C₈×Q₈	—	71	1	no	—
904	C₈×Q₈	—	71	1	no	—
905	C₈×Q₈	—	71	1	no	—
906	C₈×Q₈	—	71	1	no	—
907	C₈×Q₈	C₂×D₇₁	1	1	yes	characteristic
908	C₈×Q₈	C₂×D₇₁	1	1	yes	characteristic
909	C₈×Q₈	C₂×D₇₁	1	1	yes	characteristic
910	C₈×Q₈	C₂×D₇₁	1	1	yes	characteristic
911	#436	—	71	1	no	—
912	#436	—	71	1	no	—
913	#436	—	71	1	no	—
914	#436	—	71	1	no	—
915	#436	—	71	1	no	—
916	#436	—	71	1	no	—
917	#436	—	71	1	no	—
918	#436	—	71	1	no	—
919	#436	—	71	1	no	—
920	#436	—	71	1	no	—
921	#435	—	71	1	no	—
922	#435	—	71	1	no	—
923	#435	—	71	1	no	—
924	#435	—	71	1	no	—
925	#435	—	71	1	no	—
926	#435	—	71	1	no	—
927	#435	—	71	1	no	—
928	#435	—	71	1	no	—
929	#435	—	71	1	no	—
930	#435	—	71	1	no	—
931	#435	—	71	1	no	—
932	#435	—	71	1	no	—
933	#435	—	71	1	no	—
934	#435	—	71	1	no	—
935	#435	—	71	1	no	—
936	#435	—	71	1	no	—
937	#435	—	71	1	no	—
938	#435	—	71	1	no	—
939	#435	—	71	1	no	—
940	#435	—	71	1	no	—
941	C₈×D₄	—	71	1	no	—
942	C₈×D₄	—	71	1	no	—
943	C₈×D₄	—	71	1	no	—
944	C₈×D₄	—	71	1	no	—
945	C₈×D₄	—	71	1	no	—
946	C₈×D₄	—	71	1	no	—
947	C₈×D₄	—	71	1	no	—
948	C₈×D₄	—	71	1	no	—
949	C₈×D₄	—	71	1	no	—
950	C₈×D₄	—	71	1	no	—
951	#433	—	71	1	no	—
952	#433	—	71	1	no	—
953	#433	—	71	1	no	—
954	#433	—	71	1	no	—
955	#433	—	71	1	no	—
956	#433	—	71	1	no	—
957	#433	—	71	1	no	—
958	#433	—	71	1	no	—
959	#433	—	71	1	no	—
960	#433	—	71	1	no	—
961	#433	—	71	1	no	—
962	#433	—	71	1	no	—
963	#433	—	71	1	no	—
964	#433	—	71	1	no	—
965	#433	—	71	1	no	—
966	#433	—	71	1	no	—
967	#433	C₂×D₇₁	1	1	yes	characteristic
968	#433	C₂×D₇₁	1	1	yes	characteristic
969	#433	C₂×D₇₁	1	1	yes	characteristic
970	#433	C₂×D₇₁	1	1	yes	characteristic
971	#432	—	71	1	no	—
972	#432	—	71	1	no	—
973	#432	—	71	1	no	—
974	#432	—	71	1	no	—
975	#431	—	71	1	no	—
976	#431	—	71	1	no	—
977	#431	—	71	1	no	—
978	#431	—	71	1	no	—
979	#431	C₂×D₇₁	1	1	yes	characteristic
980	#431	C₂×D₇₁	1	1	yes	characteristic
981	#424	—	71	1	no	—
982	#424	—	71	1	no	—
983	#424	—	71	1	no	—
984	#424	—	71	1	no	—
985	#424	—	71	1	no	—
986	#424	—	71	1	no	—
987	#424	—	71	1	no	—
988	#424	—	71	1	no	—
989	#424	—	71	1	no	—
990	#424	—	71	1	no	—
991	#423	—	71	1	no	—
992	#423	—	71	1	no	—
993	#423	—	71	1	no	—
994	C₂×C₄⋊C₈	—	71	1	no	—
995	C₂×C₄⋊C₈	—	71	1	no	—
996	#405	—	71	1	no	—
997	#405	—	71	1	no	—
998	#405	—	71	1	no	—
999	#405	—	71	1	no	—
1000	#405	—	71	1	no	—
1001	#405	—	71	1	no	—
1002	#405	—	71	1	no	—
1003	#405	—	71	1	no	—
1004	#405	—	71	1	no	—
1005	#405	—	71	1	no	—
1006	C₄×M₁₆	—	71	1	no	—
1007	C₄×M₁₆	—	71	1	no	—
1008	C₂×#97	—	71	1	no	—
1009	C₂×#97	—	71	1	no	—
1010	C₂×C₄×C₈	—	71	1	no	—
1011	C₂×M₁₆	—	71	1	no	—
1012	C₂×M₁₆	—	71	1	no	—
1013	C₂×M₁₆	—	71	1	no	—
1014	C₂×M₁₆	—	71	1	no	—
1015	C₂×M₁₆	—	71	1	no	—
1016	C₂×M₁₆	—	71	1	no	—
1017	C₂×M₁₆	—	71	1	no	—
1018	C₂×M₁₆	—	71	1	no	—
1019	C₂×M₁₆	—	71	1	no	—
1020	C₂×M₁₆	—	71	1	no	—
1021	C₂²×C₈	—	71	1	no	—
1022	C₂²×C₈	—	71	1	no	—
1023	C₂²×C₈	—	71	1	no	—
1024	C₂²×C₈	—	71	1	no	—
1025	C₂²×C₈	—	71	1	no	—
1026	C₂²×C₈	—	71	1	no	—
1027	C₂²×C₈	—	71	1	no	—
1028	C₂²×C₈	—	71	1	no	—
1029	C₂²×C₈	—	71	1	no	—
1030	C₂²×C₈	—	71	1	no	—
1031	C₄⋊Q₈	—	71	1	no	—
1032	C₄⋊Q₈	—	71	1	no	—
1033	C₄⋊Q₈	—	71	1	no	—
1034	C₄⋊Q₈	—	71	1	no	—
1035	C₄⋊Q₈	—	71	1	no	—
1036	C₄⋊Q₈	—	71	1	no	—
1037	C₄⋊Q₈	—	71	1	no	—
1038	C₄⋊Q₈	—	71	1	no	—
1039	C₄⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1040	C₄⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1041	#126	—	71	1	no	—
1042	#126	—	71	1	no	—
1043	#126	—	71	1	no	—
1044	#126	—	71	1	no	—
1045	#126	—	71	1	no	—
1046	#126	—	71	1	no	—
1047	#126	—	71	1	no	—
1048	#126	—	71	1	no	—
1049	#126	—	71	1	no	—
1050	#126	—	71	1	no	—
1051	#126	—	71	1	no	—
1052	#126	—	71	1	no	—
1053	#126	—	71	1	no	—
1054	#126	—	71	1	no	—
1055	#126	—	71	1	no	—
1056	#126	—	71	1	no	—
1057	#126	—	71	1	no	—
1058	#126	—	71	1	no	—
1059	#126	—	71	1	no	—
1060	#126	—	71	1	no	—
1061	#125	—	71	1	no	—
1062	#125	—	71	1	no	—
1063	#125	—	71	1	no	—
1064	#125	—	71	1	no	—
1065	#125	—	71	1	no	—
1066	#125	—	71	1	no	—
1067	#125	—	71	1	no	—
1068	#125	—	71	1	no	—
1069	#125	—	71	1	no	—
1070	#125	—	71	1	no	—
1071	#125	—	71	1	no	—
1072	#125	—	71	1	no	—
1073	#125	—	71	1	no	—
1074	#125	—	71	1	no	—
1075	#125	—	71	1	no	—
1076	#125	—	71	1	no	—
1077	#125	—	71	1	no	—
1078	#125	—	71	1	no	—
1079	#125	C₄×D₇₁	1	1	yes	characteristic
1080	#125	C₄×D₇₁	1	1	yes	characteristic
1081	#124	—	71	1	no	—
1082	#124	—	71	1	no	—
1083	#124	—	71	1	no	—
1084	#124	—	71	1	no	—
1085	#124	—	71	1	no	—
1086	#124	—	71	1	no	—
1087	#124	—	71	1	no	—
1088	#124	—	71	1	no	—
1089	#124	—	71	1	no	—
1090	#124	—	71	1	no	—
1091	#123	—	71	1	no	—
1092	#123	—	71	1	no	—
1093	#123	—	71	1	no	—
1094	#123	—	71	1	no	—
1095	#123	—	71	1	no	—
1096	#123	—	71	1	no	—
1097	#123	—	71	1	no	—
1098	#123	—	71	1	no	—
1099	#123	—	71	1	no	—
1100	#123	—	71	1	no	—
1101	#123	—	71	1	no	—
1102	#123	—	71	1	no	—
1103	#123	—	71	1	no	—
1104	#123	—	71	1	no	—
1105	#123	—	71	1	no	—
1106	#123	—	71	1	no	—
1107	#123	—	71	1	no	—
1108	#123	—	71	1	no	—
1109	#123	—	71	1	no	—
1110	#123	—	71	1	no	—
1111	C₂²⋊Q₈	—	71	1	no	—
1112	C₂²⋊Q₈	—	71	1	no	—
1113	C₂²⋊Q₈	—	71	1	no	—
1114	C₂²⋊Q₈	—	71	1	no	—
1115	C₂²⋊Q₈	—	71	1	no	—
1116	C₂²⋊Q₈	—	71	1	no	—
1117	C₂²⋊Q₈	—	71	1	no	—
1118	C₂²⋊Q₈	—	71	1	no	—
1119	C₂²⋊Q₈	—	71	1	no	—
1120	C₂²⋊Q₈	—	71	1	no	—
1121	C₂²⋊Q₈	—	71	1	no	—
1122	C₂²⋊Q₈	—	71	1	no	—
1123	C₂²⋊Q₈	—	71	1	no	—
1124	C₂²⋊Q₈	—	71	1	no	—
1125	C₂²⋊Q₈	—	71	1	no	—
1126	C₂²⋊Q₈	—	71	1	no	—
1127	C₂²⋊Q₈	—	71	1	no	—
1128	C₂²⋊Q₈	—	71	1	no	—
1129	C₂²⋊Q₈	—	71	1	no	—
1130	C₂²⋊Q₈	—	71	1	no	—
1131	C₂²⋊Q₈	—	71	1	no	—
1132	C₂²⋊Q₈	—	71	1	no	—
1133	C₂²⋊Q₈	—	71	1	no	—
1134	C₂²⋊Q₈	—	71	1	no	—
1135	C₂²⋊Q₈	—	71	1	no	—
1136	C₂²⋊Q₈	—	71	1	no	—
1137	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1138	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1139	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1140	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1141	#121	—	71	1	no	—
1142	#121	—	71	1	no	—
1143	#121	—	71	1	no	—
1144	#121	—	71	1	no	—
1145	#121	—	71	1	no	—
1146	#121	—	71	1	no	—
1147	#121	—	71	1	no	—
1148	#121	—	71	1	no	—
1149	#121	—	71	1	no	—
1150	#121	—	71	1	no	—
1151	C₄×Q₈	—	71	1	no	—
1152	C₄×Q₈	—	71	1	no	—
1153	C₄×Q₈	—	71	1	no	—
1154	C₄×Q₈	—	71	1	no	—
1155	C₄×Q₈	—	71	1	no	—
1156	C₄×Q₈	—	71	1	no	—
1157	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1158	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1159	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1160	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1161	C₄×D₄	—	71	1	no	—
1162	C₄×D₄	—	71	1	no	—
1163	C₄×D₄	—	71	1	no	—
1164	C₄×D₄	—	71	1	no	—
1165	C₄×D₄	—	71	1	no	—
1166	C₄×D₄	—	71	1	no	—
1167	C₄×D₄	—	71	1	no	—
1168	C₄×D₄	—	71	1	no	—
1169	C₄×D₄	—	71	1	no	—
1170	C₄×D₄	—	71	1	no	—
1171	#117	—	71	1	no	—
1172	#117	—	71	1	no	—
1173	#117	—	71	1	no	—
1174	#117	—	71	1	no	—
1175	#117	—	71	1	no	—
1176	#117	—	71	1	no	—
1177	#117	—	71	1	no	—
1178	#117	—	71	1	no	—
1179	#117	C₂²×D₇₁	1	1	yes	characteristic
1180	#117	C₂²×D₇₁	1	1	yes	characteristic
1181	C₂×C₄²	—	71	1	no	—
1182	C₂×C₄²	—	71	1	no	—
1183	C₂×C₄²	—	71	1	no	—
1184	C₂×C₄²	—	71	1	no	—
1185	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
1186	C₄⋊C₈	—	71	1	no	—
1187	C₄⋊C₈	—	71	1	no	—
1188	C₄⋊C₈	—	71	1	no	—
1189	C₄⋊C₈	—	71	1	no	—
1190	C₄⋊C₈	—	71	1	no	—
1191	C₄⋊C₈	—	71	1	no	—
1192	C₄⋊C₈	—	71	1	no	—
1193	C₄⋊C₈	—	71	1	no	—
1194	C₄⋊C₈	—	71	1	no	—
1195	C₄⋊C₈	—	71	1	no	—
1196	C₄⋊C₈	—	71	1	no	—
1197	C₄⋊C₈	—	71	1	no	—
1198	C₄⋊C₈	—	71	1	no	—
1199	C₄⋊C₈	—	71	1	no	—
1200	C₄⋊C₈	—	71	1	no	—
1201	C₄⋊C₈	—	71	1	no	—
1202	C₄⋊C₈	—	71	1	no	—
1203	C₄⋊C₈	—	71	1	no	—
1204	C₄⋊C₈	—	71	1	no	—
1205	C₄⋊C₈	—	71	1	no	—
1206	C₄⋊C₈	—	71	1	no	—
1207	C₄⋊C₈	—	71	1	no	—
1208	C₄⋊C₈	—	71	1	no	—
1209	C₄⋊C₈	—	71	1	no	—
1210	C₄⋊C₈	—	71	1	no	—
1211	C₄⋊C₈	—	71	1	no	—
1212	C₄⋊C₈	—	71	1	no	—
1213	C₄⋊C₈	—	71	1	no	—
1214	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1215	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1216	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1217	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1218	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1219	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1220	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1221	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1222	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1223	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1224	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1225	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1226	C₂²⋊C₈	—	71	1	no	—
1227	C₂²⋊C₈	—	71	1	no	—
1228	C₂²⋊C₈	—	71	1	no	—
1229	C₂²⋊C₈	—	71	1	no	—
1230	C₂²⋊C₈	—	71	1	no	—
1231	C₂²⋊C₈	—	71	1	no	—
1232	C₂²⋊C₈	—	71	1	no	—
1233	C₂²⋊C₈	—	71	1	no	—
1234	C₂²⋊C₈	—	71	1	no	—
1235	C₂²⋊C₈	—	71	1	no	—
1236	C₂²⋊C₈	—	71	1	no	—
1237	C₂²⋊C₈	—	71	1	no	—
1238	C₂²⋊C₈	—	71	1	no	—
1239	C₂²⋊C₈	—	71	1	no	—
1240	C₂²⋊C₈	—	71	1	no	—
1241	C₂²⋊C₈	—	71	1	no	—
1242	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1243	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1244	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1245	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1246	#97	—	71	1	no	—
1247	#97	—	71	1	no	—
1248	#97	—	71	1	no	—
1249	#97	—	71	1	no	—
1250	#97	—	71	1	no	—
1251	#97	—	71	1	no	—
1252	#97	—	71	1	no	—
1253	#97	—	71	1	no	—
1254	#97	—	71	1	no	—
1255	#97	—	71	1	no	—
1256	#97	—	71	1	no	—
1257	#97	—	71	1	no	—
1258	#97	—	71	1	no	—
1259	#97	—	71	1	no	—
1260	#97	—	71	1	no	—
1261	#97	—	71	1	no	—
1262	#97	C₂²×D₇₁	1	1	yes	characteristic
1263	#97	C₂²×D₇₁	1	1	yes	characteristic
1264	#97	C₂²×D₇₁	1	1	yes	characteristic
1265	#97	C₂²×D₇₁	1	1	yes	characteristic
1266	C₄×C₈	—	71	1	no	—
1267	C₄×C₈	—	71	1	no	—
1268	C₄×C₈	—	71	1	no	—
1269	C₄×C₈	—	71	1	no	—
1270	C₄×C₈	—	71	1	no	—
1271	C₄×C₈	—	71	1	no	—
1272	C₄×C₈	—	71	1	no	—
1273	C₄×C₈	—	71	1	no	—
1274	C₄×C₈	—	71	1	no	—
1275	C₄×C₈	—	71	1	no	—
1276	C₄×C₈	—	71	1	no	—
1277	C₄×C₈	—	71	1	no	—
1278	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1279	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1280	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1281	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1282	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1283	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1284	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1285	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1286	C₂×Q₈	—	71	1	no	—
1287	C₂×Q₈	—	71	1	no	—
1288	C₂×Q₈	—	71	1	no	—
1289	C₂×Q₈	—	71	1	no	—
1290	C₂×Q₈	—	71	1	no	—
1291	C₂×Q₈	—	71	1	no	—
1292	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1293	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1294	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1295	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1296	C₂×D₄	—	71	1	no	—
1297	C₂×D₄	—	71	1	no	—
1298	C₂×D₄	—	71	1	no	—
1299	C₂×D₄	—	71	1	no	—
1300	C₂×D₄	—	71	1	no	—
1301	C₂×D₄	—	71	1	no	—
1302	C₂×D₄	—	71	1	no	—
1303	C₂×D₄	—	71	1	no	—
1304	C₂×D₄	—	71	1	no	—
1305	C₂×D₄	—	71	1	no	—
1306	C₂²×C₄	—	71	1	no	—
1307	C₂²×C₄	—	71	1	no	—
1308	C₂²×C₄	—	71	1	no	—
1309	C₂²×C₄	—	71	1	no	—
1310	C₂²×C₄	—	71	1	no	—
1311	C₂²×C₄	—	71	1	no	—
1312	C₂²×C₄	—	71	1	no	—
1313	C₂²×C₄	—	71	1	no	—
1314	C₂²×C₄	—	71	1	no	—
1315	C₂²×C₄	—	71	1	no	—
1316	C₂²×C₄	—	71	1	no	—
1317	C₂²×C₄	—	71	1	no	—
1318	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1319	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1320	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1321	M₁₆	—	284	1	no	—
1322	M₁₆	—	284	1	no	—
1323	M₁₆	—	284	1	no	—
1324	M₁₆	—	284	1	no	—
1325	M₁₆	—	284	1	no	—
1326	M₁₆	—	284	1	no	—
1327	M₁₆	—	284	1	no	—
1328	M₁₆	—	284	1	no	—
1329	M₁₆	—	142	2	no	—
1330	M₁₆	—	142	2	no	—
1331	C₂×C₈	—	284	1	no	—
1332	C₂×C₈	—	284	1	no	—
1333	C₂×C₈	—	284	1	no	—
1334	C₂×C₈	—	284	1	no	—
1335	C₂×C₈	—	284	1	no	—
1336	C₂×C₈	—	284	1	no	—
1337	C₂×C₈	—	284	1	no	—
1338	C₂×C₈	—	71	1	no	—
1339	C₂×C₈	—	71	1	no	—
1340	C₂×C₈	—	71	1	no	—
1341	C₂×C₈	—	71	1	no	—
1342	C₂×C₈	—	71	1	no	—
1343	C₂×C₈	—	71	1	no	—
1344	C₂×C₈	—	71	1	no	—
1345	C₂×C₈	—	71	1	no	—
1346	C₂×C₈	—	142	2	no	—
1347	C₂×C₈	—	142	2	no	—
1348	C₂×C₈	—	142	2	no	—
1349	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1350	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1351	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1352	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1353	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1354	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1355	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1356	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1357	C₄⋊C₄	—	71	1	no	—
1358	C₄⋊C₄	—	71	1	no	—
1359	C₄⋊C₄	—	71	1	no	—
1360	C₄⋊C₄	—	71	1	no	—
1361	C₄⋊C₄	—	71	1	no	—
1362	C₄⋊C₄	—	71	1	no	—
1363	C₄⋊C₄	—	71	1	no	—
1364	C₄⋊C₄	—	71	1	no	—
1365	C₄⋊C₄	—	71	1	no	—
1366	C₄⋊C₄	—	71	1	no	—
1367	C₄⋊C₄	—	71	1	no	—
1368	C₄⋊C₄	—	71	1	no	—
1369	C₄⋊C₄	—	71	1	no	—
1370	C₄⋊C₄	—	71	1	no	—
1371	C₄⋊C₄	—	71	1	no	—
1372	C₄⋊C₄	—	71	1	no	—
1373	C₄⋊C₄	—	71	1	no	—
1374	C₄⋊C₄	—	71	1	no	—
1375	C₄⋊C₄	—	71	1	no	—
1376	C₄⋊C₄	—	71	1	no	—
1377	C₄⋊C₄	—	71	1	no	—
1378	C₄⋊C₄	—	71	1	no	—
1379	C₄⋊C₄	—	71	1	no	—
1380	C₄⋊C₄	—	71	1	no	—
1381	C₄⋊C₄	—	71	1	no	—
1382	C₄⋊C₄	—	71	1	no	—
1383	C₄⋊C₄	—	71	1	no	—
1384	C₄⋊C₄	—	71	1	no	—
1385	C₄⋊C₄	—	71	1	no	—
1386	C₄⋊C₄	—	71	1	no	—
1387	C₄⋊C₄	—	71	1	no	—
1388	C₄⋊C₄	—	71	1	no	—
1389	C₄⋊C₄	—	71	1	no	—
1390	C₄⋊C₄	—	71	1	no	—
1391	C₄⋊C₄	—	71	1	no	—
1392	C₄⋊C₄	—	71	1	no	—
1393	C₄⋊C₄	—	71	1	no	—
1394	C₄⋊C₄	—	71	1	no	—
1395	C₄⋊C₄	—	71	1	no	—
1396	C₄⋊C₄	—	71	1	no	—
1397	C₄⋊C₄	—	71	1	no	—
1398	C₄⋊C₄	—	71	1	no	—
1399	C₄⋊C₄	—	71	1	no	—
1400	C₄⋊C₄	—	71	1	no	—
1401	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1411	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1412	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1413	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1414	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1415	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1416	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1417	C₂²⋊C₄	—	71	1	no	—
1418	C₂²⋊C₄	—	71	1	no	—
1419	C₂²⋊C₄	—	71	1	no	—
1420	C₂²⋊C₄	—	71	1	no	—
1421	C₂²⋊C₄	—	71	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	—	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	C₂×C₄×D₇₁	1	1	yes	characteristic
1454	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1455	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1456	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1457	C₄²	—	71	1	no	—
1458	C₄²	—	71	1	no	—
1459	C₄²	—	71	1	no	—
1460	C₄²	—	71	1	no	—
1461	C₄²	—	71	1	no	—
1462	C₄²	—	71	1	no	—
1463	C₄²	—	71	1	no	—
1464	C₄²	—	71	1	no	—
1465	C₄²	—	71	1	no	—
1466	C₄²	—	71	1	no	—
1467	C₄²	—	71	1	no	—
1468	C₄²	—	71	1	no	—
1469	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1470	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1471	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1472	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1473	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1474	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1475	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1476	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1477	C₂³	—	71	1	no	—
1478	C₂³	—	71	1	no	—
1479	C₂³	—	71	1	no	—
1480	C₂³	—	71	1	no	—
1481	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1482	Q₈	—	4	1	no	—
1483	Q₈	—	4	1	no	—
1484	Q₈	—	4	1	no	—
1485	Q₈	—	4	1	no	—
1486	Q₈	—	284	1	no	—
1487	Q₈	—	284	1	no	—
1488	Q₈	—	284	1	no	—
1489	Q₈	—	284	1	no	—
1490	Q₈	—	284	1	no	—
1491	Q₈	—	284	1	no	—
1492	D₄	—	284	1	no	—
1493	D₄	—	284	1	no	—
1494	D₄	—	284	1	no	—
1495	D₄	—	284	1	no	—
1496	D₄	—	284	1	no	—
1497	D₄	—	284	1	no	—
1498	D₄	—	284	1	no	—
1499	D₄	—	284	1	no	—
1500	D₄	—	284	1	no	—
1501	D₄	—	284	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	4	1	no	—
1505	C₂×C₄	—	4	1	no	—
1506	C₂×C₄	—	284	1	no	—
1507	C₂×C₄	—	284	1	no	—
1508	C₂×C₄	—	284	1	no	—
1509	C₂×C₄	—	284	1	no	—
1510	C₂×C₄	—	284	1	no	—
1511	C₂×C₄	—	284	1	no	—
1512	C₂×C₄	—	284	1	no	—
1513	C₂×C₄	—	284	1	no	—
1514	C₂×C₄	—	71	1	no	—
1515	C₂×C₄	—	71	1	no	—
1516	C₂×C₄	—	71	1	no	—
1517	C₂×C₄	—	71	1	no	—
1518	C₂×C₄	—	71	1	no	—
1519	C₂×C₄	—	71	1	no	—
1520	C₂×C₄	—	71	1	no	—
1521	C₂×C₄	—	71	1	no	—
1522	C₂×C₄	—	71	1	no	—
1523	C₂×C₄	—	71	1	no	—
1524	C₂×C₄	—	71	1	no	—
1525	C₂×C₄	—	71	1	no	—
1526	C₂×C₄	—	142	1	no	—
1527	C₂×C₄	—	142	1	no	—
1528	C₂×C₄	—	142	1	no	—
1529	C₂×C₄	—	142	1	no	—
1530	C₂×C₄	—	142	1	no	—
1531	C₂×C₄	—	142	1	no	—
1532	C₂×C₄	—	142	1	no	—
1533	C₂×C₄	—	142	1	no	—
1534	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1535	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1536	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1537	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1538	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1539	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1540	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1541	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1542	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1543	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1544	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1545	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1546	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1547	C₂×C₄	C₂⁴×D₇₁	1	1	yes	characteristic
1548	C₈	—	2	1	no	—
1549	C₈	—	2	1	no	—
1550	C₈	—	2	1	no	—
1551	C₈	—	2	1	no	—
1552	C₈	—	2	1	no	—
1553	C₈	—	2	1	no	—
1554	C₈	—	2	1	no	—
1555	C₈	—	2	1	no	—
1556	C₈	—	71	2	no	—
1557	C₈	—	142	1	no	—
1558	C₈	—	142	1	no	—
1559	C₈	—	142	1	no	—
1560	C₈	—	142	1	no	—
1561	C₈	—	142	1	no	—
1562	C₈	—	142	1	no	—
1563	C₈	—	142	1	no	—
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	142	1	no	—
1568	C₂²	—	142	1	no	—
1569	C₂²	—	142	1	no	—
1570	C₂²	—	142	1	no	—
1571	C₂²	—	142	1	no	—
1572	C₂²	—	142	1	no	—
1573	C₂²	—	142	1	no	—
1574	C₂²	—	142	1	no	—
1575	C₂²	—	142	1	no	—
1576	C₂²	—	142	1	no	—
1577	C₂²	—	142	1	no	—
1578	C₂²	—	142	1	no	—
1579	C₂²	C₂³×C₄×D₇₁	1	1	yes	characteristic
1580	C₄	—	2	1	no	—
1581	C₄	—	2	1	no	—
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	142	1	no	—
1594	C₄	—	142	1	no	—
1595	C₄	—	142	1	no	—
1596	C₄	—	142	1	no	—
1597	C₄	—	142	1	no	—
1598	C₄	—	142	1	no	—
1599	C₄	—	142	1	no	—
1600	C₄	—	142	1	no	—
1601	C₄	—	142	1	no	—
1602	C₄	—	142	1	no	—
1603	C₄	—	142	1	no	—
1604	C₄	—	142	1	no	—
1605	C₄	2₋¹⁺⁴×D₇₁	1	1	yes	characteristic
1606	C₄	#17986836	1	1	yes	characteristic
1607	C₂	—	4	1	no	—
1608	C₂	—	284	1	no	—
1609	C₂	—	284	1	no	—
1610	C₂	—	284	1	no	—
1611	C₂	—	284	1	no	—
1612	C₂	#22601549	1	1	yes	characteristic
1613	C₂	#22603051	1	1	yes	characteristic
1614	C₂	#22603051	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₁
commutator, socle	C₂²×C₇₁	C₂⁴×C₄
Fitting	C₇₁×#2986	C₂
prime radical	#22602487	C₂
cosocle	C₂×C₄×C₇₁	C₂⁵
hypercenter	#2986	D₇₁
hypocenter	C₇₁	#60346
LCS	G ▷ C₂²×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂×C₄ ◁ #2986

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. #22597499	C₂	semidirect
5. #22597494	C₂	semidirect
6. #22597491	C₂	semidirect
7. #22597491	C₂	semidirect
8. #22597488	C₂	semidirect
9. #22597483	C₂	semidirect
10. #22597478	C₂	semidirect
11. #22597474	C₂	semidirect
12. #22597443	C₂	semidirect
13. #22597440	C₂	semidirect
14. #22597433	C₂	semidirect
15. #22597431	C₂	semidirect
16. #22597343	C₂	semidirect
17. #22597342	C₂	semidirect
18. #22597333	C₂	semidirect
19. #22597332	C₂	semidirect
20. #22597329	C₂	semidirect
21. #22597329	C₂	semidirect
22. #22597324	C₂	semidirect
23. #22597323	C₂	semidirect
24. #22597317	C₂	semidirect
25. #22597313	C₂	semidirect
26. #22597285	C₂	semidirect
27. #22597282	C₂	semidirect
28. #22597281	C₂	semidirect
29. #22597276	C₂	semidirect
30. #22597269	C₂	semidirect
31. C₇₁×#2986	C₂	semidirect
821. #2986	D₇₁	semidirect
839. C₇₁	#60346	semidirect

Maximal subgroups

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

subgroup	index
#22602487	2
#22597509	2
#22597505	2
#22597499	2
#22597494	2
#22597491	2
#22597488	2
#22597483	2
#22597478	2
#22597474	2
#22597443	2
#22597440	2
#22597433	2
#22597431	2
#22597343	2
#22597342	2
#22597333	2
#22597332	2
#22597329	2
#22597324	2
#22597323	2
#22597317	2
#22597313	2
#22597285	2
#22597282	2
#22597281	2
#22597276	2
#22597269	2
C₇₁×#2986	2
#60346	71