Subgroups — #32863658

Order 18176.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22601958	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	#22597494	C₂	1	1	yes	maximal, characteristic, complemented
5	#22597483	C₂	1	1	yes	maximal, characteristic, complemented
6	#22597478	C₂	1	1	yes	maximal, characteristic, complemented
7	#22597474	C₂	1	1	yes	maximal, characteristic, complemented
8	#22597464	C₂	1	1	yes	maximal, characteristic, complemented
9	#22597459	C₂	1	1	yes	maximal, characteristic, complemented
10	#22597459	C₂	1	1	yes	maximal, characteristic, complemented
11	#22597456	C₂	1	1	yes	maximal, characteristic, complemented
12	#22597443	C₂	1	1	yes	maximal, characteristic, complemented
13	#22597433	C₂	1	1	yes	maximal, characteristic, complemented
14	#22597426	C₂	1	1	yes	maximal, characteristic, complemented
15	#22597422	C₂	1	1	yes	maximal, characteristic, complemented
16	#22597353	C₂	1	1	yes	maximal, characteristic, complemented
17	#22597349	C₂	1	1	yes	maximal, characteristic, complemented
18	#22597349	C₂	1	1	yes	maximal, characteristic, complemented
19	#22597342	C₂	1	1	yes	maximal, characteristic, complemented
20	#22597333	C₂	1	1	yes	maximal, characteristic, complemented
21	#22597332	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	#22597313	C₂	1	1	yes	maximal, characteristic, complemented
25	#22597305	C₂	1	1	yes	maximal, characteristic, complemented
26	#22597292	C₂	1	1	yes	maximal, characteristic, complemented
27	#22597285	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	#446×D₇₁	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₁×#2987	C₂	1	1	yes	maximal, characteristic, complemented
32	#17986724	C₄	1	1	yes	characteristic
33	#17986723	C₄	1	1	yes	characteristic
34	#17986720	C₄	1	1	yes	characteristic
35	#17986720	C₄	1	1	yes	characteristic
36	#17986683	C₄	1	1	yes	characteristic
37	#17986683	C₄	1	1	yes	characteristic
38	#17986681	C₄	1	1	yes	characteristic
39	#17986681	C₄	1	1	yes	characteristic
40	#17986681	C₄	1	1	yes	characteristic
41	#17986681	C₄	1	1	yes	characteristic
42	#17986664	C₄	1	1	yes	characteristic
43	#17986659	C₄	1	1	yes	characteristic
44	#17986659	C₄	1	1	yes	characteristic
45	#17986652	C₄	1	1	yes	characteristic
46	#17986651	C₄	1	1	yes	characteristic
47	#17986651	C₄	1	1	yes	characteristic
48	#17986553	C₂²	1	1	yes	characteristic
49	#17986553	C₂²	1	1	yes	characteristic
50	#17986536	C₂²	1	1	yes	characteristic
51	#17986536	C₂²	1	1	yes	characteristic
52	#17986527	C₂²	1	1	yes	characteristic
53	#17986527	C₂²	1	1	yes	characteristic
54	#17986527	C₂²	1	1	yes	characteristic
55	#17986527	C₂²	1	1	yes	characteristic
56	C₄×#11765866	C₂²	1	1	yes	characteristic
57	C₄×#11765866	C₂²	1	1	yes	characteristic
58	C₄×#11765865	C₂²	1	1	yes	characteristic
59	C₄×#11765865	C₂²	1	1	yes	characteristic
60	C₄×Q₈×D₇₁	C₂²	1	1	yes	characteristic
61	C₄×Q₈×D₇₁	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	#17986128	C₂²	1	1	yes	characteristic
73	#17986128	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	#17986127	C₂²	1	1	yes	characteristic
81	#17986127	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	#17986127	C₂²	1	1	yes	characteristic
87	#17986127	C₂²	1	1	yes	characteristic
88	#17986126	C₂²	1	1	yes	characteristic
89	#17986126	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	#17986076	C₂²	1	1	yes	characteristic
97	#17986076	C₂²	1	1	yes	characteristic
98	#17986074	C₂²	1	1	yes	characteristic
99	#17986074	C₂²	1	1	yes	characteristic
100	#17986074	C₂²	1	1	yes	characteristic
101	#17986074	C₂²	1	1	yes	characteristic
102	#17986073	C₂²	1	1	yes	characteristic
103	#17986073	C₂²	1	1	yes	characteristic
104	#17986073	C₂²	1	1	yes	characteristic
105	#17986073	C₂²	1	1	yes	characteristic
106	#17986072	C₂²	1	1	yes	characteristic
107	#17986072	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	#17986072	C₂²	1	1	yes	characteristic
113	#17986072	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	#17986069	C₂²	1	1	yes	characteristic
121	#17986069	C₂²	1	1	yes	characteristic
122	#17986067	C₂²	1	1	yes	characteristic
123	#17986067	C₂²	1	1	yes	characteristic
124	#17986067	C₂²	1	1	yes	characteristic
125	#17986067	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	#17986058	C₂²	1	1	yes	characteristic
141	#17986058	C₂²	1	1	yes	characteristic
142	#17986055	C₂²	1	1	yes	characteristic
143	#17986055	C₂²	1	1	yes	characteristic
144	#17986055	C₂²	1	1	yes	characteristic
145	#17986055	C₂²	1	1	yes	characteristic
146	#17986054	C₂²	1	1	yes	characteristic
147	#17986054	C₂²	1	1	yes	characteristic
148	#17986054	C₂²	1	1	yes	characteristic
149	#17986054	C₂²	1	1	yes	characteristic
150	#17986054	C₂²	1	1	yes	characteristic
151	#17986054	C₂²	1	1	yes	characteristic
152	#17986051	C₂²	1	1	yes	characteristic
153	#17986051	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	#17986023	C₂²	1	1	yes	characteristic
165	#17986021	C₂²	1	1	yes	characteristic
166	#17986021	C₂²	1	1	yes	characteristic
167	#17986021	C₂²	1	1	yes	characteristic
168	#17986021	C₂²	1	1	yes	characteristic
169	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
170	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
171	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
172	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
173	#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	#17985951	C₂²	1	1	yes	characteristic
180	#17985951	C₂²	1	1	yes	characteristic
181	#17985951	C₂²	1	1	yes	characteristic
182	C₄×#11765848	C₂²	1	1	yes	characteristic
183	C₂×#14556039	C₂²	1	1	yes	characteristic
184	#97×D₇₁	C₂²	1	1	yes	characteristic
185	#97×D₇₁	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	#446×C₇₁	C₂²	1	1	yes	characteristic
194	#446×C₇₁	C₂²	1	1	yes	characteristic
195	#446×C₇₁	C₂²	1	1	yes	characteristic
196	#446×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	#432×C₇₁	C₂²	1	1	yes	characteristic
202	#432×C₇₁	C₂²	1	1	yes	characteristic
203	C₂×#11765866	C₂×C₄	1	1	yes	characteristic
204	C₂×#11765866	C₂×C₄	1	1	yes	characteristic
205	C₂×#11765865	C₂×C₄	1	1	yes	characteristic
206	C₂×#11765865	C₂×C₄	1	1	yes	characteristic
207	C₂×Q₈×D₇₁	C₂×C₄	1	1	yes	characteristic
208	C₂×Q₈×D₇₁	C₂×C₄	1	1	yes	characteristic
209	C₂×#11765849	C₂³	1	1	yes	characteristic
210	C₂×#11765849	C₂³	1	1	yes	characteristic
211	C₂×#11765848	C₂³	1	1	yes	characteristic
212	C₂×#11765848	C₂³	1	1	yes	characteristic
213	C₂×#11765848	C₂³	1	1	yes	characteristic
214	C₂×#11765848	C₂³	1	1	yes	characteristic
215	C₂×#11765848	C₂³	1	1	yes	characteristic
216	C₂×#11765848	C₂³	1	1	yes	characteristic
217	C₂×#11765848	C₂³	1	1	yes	characteristic
218	C₂×#11765848	C₂³	1	1	yes	characteristic
219	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
220	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
221	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
222	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
223	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
224	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
225	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
226	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
227	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
228	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
229	#14556127	C₂×C₄	1	1	yes	characteristic
230	#14556127	C₂×C₄	1	1	yes	characteristic
231	#14556126	C₂×C₄	1	1	yes	characteristic
232	#14556126	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	#14556121	C₂×C₄	1	1	yes	characteristic
242	#14556121	C₂×C₄	1	1	yes	characteristic
243	#14556121	C₂×C₄	1	1	yes	characteristic
244	#14556121	C₂×C₄	1	1	yes	characteristic
245	#14556119	C₂×C₄	1	1	yes	characteristic
246	#14556119	C₂×C₄	1	1	yes	characteristic
247	#14556118	C₂×C₄	1	1	yes	characteristic
248	#14556118	C₂×C₄	1	1	yes	characteristic
249	#14556118	C₂×C₄	1	1	yes	characteristic
250	#14556118	C₂×C₄	1	1	yes	characteristic
251	#14556118	C₂×C₄	1	1	yes	characteristic
252	#14556118	C₂×C₄	1	1	yes	characteristic
253	#14556118	C₂×C₄	1	1	yes	characteristic
254	#14556118	C₂×C₄	1	1	yes	characteristic
255	#14556117	C₂×C₄	1	1	yes	characteristic
256	#14556117	C₂×C₄	1	1	yes	characteristic
257	#14556114	C₂×C₄	1	1	yes	characteristic
258	#14556114	C₂×C₄	1	1	yes	characteristic
259	#14556114	C₂×C₄	1	1	yes	characteristic
260	#14556114	C₂×C₄	1	1	yes	characteristic
261	#14556113	C₂×C₄	1	1	yes	characteristic
262	#14556113	C₂×C₄	1	1	yes	characteristic
263	#14556113	C₂×C₄	1	1	yes	characteristic
264	#14556113	C₂×C₄	1	1	yes	characteristic
265	#14556113	C₂×C₄	1	1	yes	characteristic
266	#14556113	C₂×C₄	1	1	yes	characteristic
267	#14556113	C₂×C₄	1	1	yes	characteristic
268	#14556113	C₂×C₄	1	1	yes	characteristic
269	#14556110	C₂×C₄	1	1	yes	characteristic
270	#14556110	C₂×C₄	1	1	yes	characteristic
271	#14556110	C₂×C₄	1	1	yes	characteristic
272	#14556110	C₂×C₄	1	1	yes	characteristic
273	#14556108	C₂×C₄	1	1	yes	characteristic
274	#14556108	C₂×C₄	1	1	yes	characteristic
275	#14556106	C₂×C₄	1	1	yes	characteristic
276	#14556106	C₂×C₄	1	1	yes	characteristic
277	#14556106	C₂×C₄	1	1	yes	characteristic
278	#14556106	C₂×C₄	1	1	yes	characteristic
279	#14556106	C₂×C₄	1	1	yes	characteristic
280	#14556106	C₂×C₄	1	1	yes	characteristic
281	#14556106	C₂×C₄	1	1	yes	characteristic
282	#14556106	C₂×C₄	1	1	yes	characteristic
283	#14556104	C₂×C₄	1	1	yes	characteristic
284	#14556104	C₂×C₄	1	1	yes	characteristic
285	#14556104	C₂×C₄	1	1	yes	characteristic
286	#14556104	C₂×C₄	1	1	yes	characteristic
287	#14556103	C₂×C₄	1	1	yes	characteristic
288	#14556103	C₂×C₄	1	1	yes	characteristic
289	#14556101	C₂×C₄	1	1	yes	characteristic
290	#14556101	C₂×C₄	1	1	yes	characteristic
291	#14556101	C₂×C₄	1	1	yes	characteristic
292	#14556101	C₂×C₄	1	1	yes	characteristic
293	Q₈×Dic₇₁	C₂×C₄	1	1	yes	characteristic
294	Q₈×Dic₇₁	C₂×C₄	1	1	yes	characteristic
295	Q₈×Dic₇₁	C₂×C₄	1	1	yes	characteristic
296	Q₈×Dic₇₁	C₂×C₄	1	1	yes	characteristic
297	C₄×Dic₁₄₂	C₂×C₄	1	1	yes	characteristic
298	C₄×Dic₁₄₂	C₂×C₄	1	1	yes	characteristic
299	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
300	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
301	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
302	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
303	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
304	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
305	#14556093	C₂×C₄	1	1	yes	characteristic
306	#14556093	C₂×C₄	1	1	yes	characteristic
307	#14556093	C₂×C₄	1	1	yes	characteristic
308	#14556093	C₂×C₄	1	1	yes	characteristic
309	#14556093	C₂×C₄	1	1	yes	characteristic
310	#14556093	C₂×C₄	1	1	yes	characteristic
311	C₄×D₂₈₄	C₂×C₄	1	1	yes	characteristic
312	C₄×D₂₈₄	C₂×C₄	1	1	yes	characteristic
313	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
314	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
315	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
316	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
317	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
318	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
319	#14556090	C₂×C₄	1	1	yes	characteristic
320	#14556090	C₂×C₄	1	1	yes	characteristic
321	#14556090	C₂×C₄	1	1	yes	characteristic
322	#14556090	C₂×C₄	1	1	yes	characteristic
323	#14556090	C₂×C₄	1	1	yes	characteristic
324	#14556090	C₂×C₄	1	1	yes	characteristic
325	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
326	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
327	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
328	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
329	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
330	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
331	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
332	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
333	#14556087	C₂×C₄	1	1	yes	characteristic
334	#14556087	C₂×C₄	1	1	yes	characteristic
335	#14556086	C₂×C₄	1	1	yes	characteristic
336	#14556086	C₂×C₄	1	1	yes	characteristic
337	#14556086	C₂×C₄	1	1	yes	characteristic
338	#14556086	C₂×C₄	1	1	yes	characteristic
339	#14556086	C₂×C₄	1	1	yes	characteristic
340	#14556086	C₂×C₄	1	1	yes	characteristic
341	#14556085	C₂×C₄	1	1	yes	characteristic
342	#14556085	C₂×C₄	1	1	yes	characteristic
343	#14556085	C₂×C₄	1	1	yes	characteristic
344	#14556085	C₂×C₄	1	1	yes	characteristic
345	#14556085	C₂³	1	1	yes	characteristic
346	#14556085	C₂³	1	1	yes	characteristic
347	#14556085	C₂³	1	1	yes	characteristic
348	#14556085	C₂³	1	1	yes	characteristic
349	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
350	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
351	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
352	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
353	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
354	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
355	C₄²×D₇₁	C₂³	1	1	yes	characteristic
356	C₄²×D₇₁	C₂³	1	1	yes	characteristic
357	C₄²×D₇₁	C₂³	1	1	yes	characteristic
358	C₄²×D₇₁	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	#97×C₇₁	C₂³	1	1	yes	characteristic
471	#97×C₇₁	C₂³	1	1	yes	characteristic
472	#97×C₇₁	C₂³	1	1	yes	characteristic
473	#97×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	#11765866	—	4	2	no	—
479	#11765866	—	4	2	no	—
480	#11765865	—	4	2	no	—
481	#11765865	—	4	2	no	—
482	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
483	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
484	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
485	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
486	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
487	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
488	Q₈×D₇₁	—	4	2	no	—
489	Q₈×D₇₁	—	4	2	no	—
490	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
492	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
493	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
494	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
495	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
496	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₂²⋊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	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
514	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
517	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
518	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
519	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
520	#11765849	—	4	1	no	—
521	#11765849	—	4	1	no	—
522	#11765848	—	2	2	no	—
523	#11765848	—	2	2	no	—
524	#11765848	—	4	1	no	—
525	#11765848	—	4	1	no	—
526	#11765848	—	4	1	no	—
527	#11765848	—	4	1	no	—
528	#11765848	—	4	1	no	—
529	#11765848	—	4	1	no	—
530	C₂×C₇₁⋊C₈	—	2	2	no	—
531	C₂×C₇₁⋊C₈	—	4	1	no	—
532	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
538	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
539	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
540	C₈×D₇₁	—	2	2	no	—
541	C₈×D₇₁	—	2	2	no	—
542	C₈×D₇₁	—	4	1	no	—
543	C₈×D₇₁	—	4	1	no	—
544	C₈×D₇₁	—	4	1	no	—
545	C₈×D₇₁	—	4	1	no	—
546	C₈×D₇₁	—	4	1	no	—
547	C₈×D₇₁	—	4	1	no	—
548	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
549	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
550	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
551	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
552	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
553	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
554	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
555	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
556	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
557	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
558	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
559	C₄⋊Dic₇₁	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	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
585	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
586	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
587	C₂²⋊Dic₇₁	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	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
613	C₄×Dic₇₁	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	C₂²×C₄	1	1	yes	characteristic
623	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
624	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
625	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
626	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
627	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
628	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
629	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
630	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
631	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
632	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
633	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
634	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
635	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
636	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
637	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
638	C₂²×C₄×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	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
642	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
643	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
644	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
645	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
646	C₂×C₈×C₇₁	C₂⁴	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	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
658	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
659	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
660	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
661	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
662	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
667	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
668	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
669	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
670	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
671	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
672	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
673	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
674	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
675	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
676	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
677	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
678	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
679	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
680	Q₈×C₇₁	—	4	1	no	—
681	Q₈×C₇₁	—	4	1	no	—
682	Q₈×C₇₁	—	4	1	no	—
683	Q₈×C₇₁	—	4	1	no	—
684	C₂×C₄×C₇₁	—	2	1	no	—
685	C₂×C₄×C₇₁	—	2	1	no	—
686	C₂×C₄×C₇₁	—	4	1	no	—
687	C₂×C₄×C₇₁	—	4	1	no	—
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	C₂³×C₄	1	1	yes	characteristic
696	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
697	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
698	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
699	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
700	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
701	C₂×C₄×C₇₁	C₂⁵	1	1	yes	characteristic
702	C₂²⋊D₇₁	—	2	2	no	—
703	C₂²⋊D₇₁	—	2	2	no	—
704	C₂²⋊D₇₁	—	4	1	no	—
705	C₂²⋊D₇₁	—	4	1	no	—
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	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
713	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
714	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
715	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
716	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
717	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
718	D₂₈₄	—	2	2	no	—
719	D₂₈₄	—	2	2	no	—
720	D₂₈₄	—	2	2	no	—
721	D₂₈₄	—	4	1	no	—
722	D₂₈₄	—	4	1	no	—
723	D₂₈₄	—	4	1	no	—
724	C₄×D₇₁	—	2	2	no	—
725	C₄×D₇₁	—	2	2	no	—
726	C₄×D₇₁	—	2	2	no	—
727	C₄×D₇₁	—	2	1	no	—
728	C₄×D₇₁	—	2	1	no	—
729	C₄×D₇₁	—	2	1	no	—
730	C₄×D₇₁	—	2	1	no	—
731	C₄×D₇₁	—	2	1	no	—
732	C₄×D₇₁	—	2	1	no	—
733	C₄×D₇₁	—	2	1	no	—
734	C₄×D₇₁	—	2	1	no	—
735	C₄×D₇₁	—	2	2	no	—
736	C₄×D₇₁	—	2	2	no	—
737	C₄×D₇₁	—	2	2	no	—
738	C₄×D₇₁	—	4	1	no	—
739	C₄×D₇₁	—	4	1	no	—
740	C₄×D₇₁	—	4	1	no	—
741	C₄×D₇₁	—	4	1	no	—
742	C₄×D₇₁	—	4	1	no	—
743	C₄×D₇₁	—	4	1	no	—
744	C₄×D₇₁	—	4	1	no	—
745	C₄×D₇₁	—	4	1	no	—
746	C₄×D₇₁	—	4	1	no	—
747	C₄×D₇₁	—	4	1	no	—
748	Dic₁₄₂	—	2	2	no	—
749	Dic₁₄₂	—	2	2	no	—
750	Dic₁₄₂	—	2	2	no	—
751	Dic₁₄₂	—	4	1	no	—
752	Dic₁₄₂	—	4	1	no	—
753	Dic₁₄₂	—	4	1	no	—
754	C₈×C₇₁	—	2	1	no	—
755	C₈×C₇₁	—	2	1	no	—
756	C₈×C₇₁	—	2	1	no	—
757	C₈×C₇₁	—	2	1	no	—
758	C₈×C₇₁	—	2	1	no	—
759	C₈×C₇₁	—	2	1	no	—
760	C₈×C₇₁	—	2	1	no	—
761	C₈×C₇₁	—	2	1	no	—
762	C₇₁⋊C₈	—	2	1	no	—
763	C₇₁⋊C₈	—	2	1	no	—
764	C₇₁⋊C₈	—	2	1	no	—
765	C₇₁⋊C₈	—	2	1	no	—
766	C₇₁⋊C₈	—	2	1	no	—
767	C₇₁⋊C₈	—	2	1	no	—
768	C₇₁⋊C₈	—	2	1	no	—
769	C₇₁⋊C₈	2₋¹⁺⁴	1	2	yes	—
770	C₂²×C₇₁	—	2	1	no	—
771	C₂²×C₇₁	—	2	1	no	—
772	C₂²×C₇₁	—	2	1	no	—
773	C₂²×C₇₁	C₂⁴×C₄	1	1	yes	characteristic
774	C₂×D₇₁	—	2	1	no	—
775	C₂×D₇₁	—	2	1	no	—
776	C₂×D₇₁	—	2	1	no	—
777	C₂×D₇₁	—	2	1	no	—
778	C₂×D₇₁	—	2	1	no	—
779	C₂×D₇₁	—	2	1	no	—
780	C₂×D₇₁	—	2	1	no	—
781	C₂×D₇₁	—	2	1	no	—
782	C₂×D₇₁	—	2	1	no	—
783	C₂×D₇₁	—	2	1	no	—
784	C₂×D₇₁	—	2	1	no	—
785	C₂×D₇₁	#568	1	2	yes	—
786	C₄×C₇₁	—	2	1	no	—
787	C₄×C₇₁	—	2	1	no	—
788	C₄×C₇₁	—	2	1	no	—
789	C₄×C₇₁	—	2	1	no	—
790	C₄×C₇₁	—	2	1	no	—
791	C₄×C₇₁	—	2	1	no	—
792	C₄×C₇₁	—	2	1	no	—
793	C₄×C₇₁	—	2	1	no	—
794	C₄×C₇₁	—	2	1	no	—
795	C₄×C₇₁	—	2	1	no	—
796	C₄×C₇₁	—	2	1	no	—
797	C₄×C₇₁	—	2	1	no	—
798	C₄×C₇₁	—	2	1	no	—
799	C₄×C₇₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
800	C₄×C₇₁	#585	1	1	yes	characteristic
801	Dic₇₁	—	2	1	no	—
802	Dic₇₁	—	2	1	no	—
803	Dic₇₁	—	2	1	no	—
804	Dic₇₁	—	2	1	no	—
805	Dic₇₁	—	2	1	no	—
806	Dic₇₁	—	2	1	no	—
807	Dic₇₁	—	2	1	no	—
808	Dic₇₁	—	2	1	no	—
809	Dic₇₁	—	2	1	no	—
810	Dic₇₁	—	2	1	no	—
811	Dic₇₁	—	2	1	no	—
812	Dic₇₁	#568	1	2	yes	—
813	#60342	—	71	1	no	maximal, Sylow
814	C₂×C₇₁	—	4	1	no	—
815	C₂×C₇₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
816	C₂×C₇₁	C₂×#568	1	1	yes	characteristic
817	C₂×C₇₁	C₂×#568	1	1	yes	characteristic
818	D₇₁	—	2	2	no	—
819	D₇₁	—	4	1	no	—
820	D₇₁	—	4	1	no	—
821	D₇₁	—	4	1	no	—
822	#3482	—	71	1	no	—
823	#2995	—	71	1	no	—
824	#2995	—	71	1	no	—
825	#2994	—	71	1	no	—
826	#2993	—	71	1	no	—
827	#2992	—	71	1	no	—
828	#2992	—	71	1	no	—
829	#2990	—	71	1	no	—
830	#2989	—	71	1	no	—
831	#2989	—	71	1	no	—
832	#2989	—	71	1	no	—
833	#2987	—	71	1	no	—
834	#2987	D₇₁	1	1	yes	characteristic, complemented
835	#2985	—	71	1	no	—
836	#2984	—	71	1	no	—
837	#2983	—	71	1	no	—
838	#2970	—	71	1	no	—
839	#2970	—	71	1	no	—
840	#2970	—	71	1	no	—
841	#2969	—	71	1	no	—
842	#2968	—	71	1	no	—
843	#2968	—	71	1	no	—
844	#2967	—	71	1	no	—
845	#2967	—	71	1	no	—
846	#2966	—	71	1	no	—
847	#2965	—	71	1	no	—
848	Q₈×M₁₆	—	71	1	no	—
849	#2962	—	71	1	no	—
850	#2961	—	71	1	no	—
851	#2961	—	71	1	no	—
852	C₂×#446	—	71	1	no	—
853	C₇₁	#60342	1	1	yes	characteristic, complemented, Sylow
854	#557	—	71	1	no	—
855	#556	—	71	1	no	—
856	#556	—	71	1	no	—
857	#556	—	71	1	no	—
858	#552	—	71	1	no	—
859	#552	—	71	1	no	—
860	#552	—	71	1	no	—
861	#552	—	71	1	no	—
862	#552	—	71	1	no	—
863	#552	—	71	1	no	—
864	D₄×Q₈	—	71	1	no	—
865	#548	—	71	1	no	—
866	#548	—	71	1	no	—
867	#547	—	71	1	no	—
868	#547	—	71	1	no	—
869	#547	—	71	1	no	—
870	#533	—	71	1	no	—
871	#533	—	71	1	no	—
872	#533	C₂×D₇₁	1	1	yes	characteristic
873	#529	—	71	1	no	—
874	#529	—	71	1	no	—
875	#529	—	71	1	no	—
876	#529	—	71	1	no	—
877	#529	—	71	1	no	—
878	#529	—	71	1	no	—
879	C₄×#41	—	71	1	no	—
880	C₄×#41	—	71	1	no	—
881	C₄×#41	—	71	1	no	—
882	C₄×#41	—	71	1	no	—
883	C₂×C₄×Q₈	—	71	1	no	—
884	C₂×C₄×Q₈	—	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	—	71	1	no	—
898	#446	—	71	1	no	—
899	#446	—	71	1	no	—
900	#446	—	71	1	no	—
901	#446	—	71	1	no	—
902	#446	—	71	1	no	—
903	#446	—	71	1	no	—
904	#446	—	71	1	no	—
905	#446	—	71	1	no	—
906	#446	—	71	1	no	—
907	#446	—	71	1	no	—
908	#446	—	71	1	no	—
909	#446	—	71	1	no	—
910	#446	—	71	1	no	—
911	#446	—	71	1	no	—
912	#446	—	71	1	no	—
913	#446	C₂×D₇₁	1	1	yes	characteristic
914	#446	C₂×D₇₁	1	1	yes	characteristic
915	#446	C₂×D₇₁	1	1	yes	characteristic
916	#446	C₂×D₇₁	1	1	yes	characteristic
917	#446	C₂×D₇₁	1	1	yes	characteristic
918	#446	C₂×D₇₁	1	1	yes	characteristic
919	#446	C₂×D₇₁	1	1	yes	characteristic
920	#446	C₂×D₇₁	1	1	yes	characteristic
921	C₈×Q₈	—	71	1	no	—
922	C₈×Q₈	—	71	1	no	—
923	C₈×Q₈	—	71	1	no	—
924	C₈×Q₈	—	71	1	no	—
925	#436	—	71	1	no	—
926	#436	—	71	1	no	—
927	#436	—	71	1	no	—
928	#436	—	71	1	no	—
929	#436	—	71	1	no	—
930	#436	—	71	1	no	—
931	#436	—	71	1	no	—
932	#436	—	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	#435	—	71	1	no	—
942	#435	—	71	1	no	—
943	#435	—	71	1	no	—
944	#435	—	71	1	no	—
945	#435	—	71	1	no	—
946	#435	—	71	1	no	—
947	#435	—	71	1	no	—
948	#435	—	71	1	no	—
949	#435	—	71	1	no	—
950	#435	—	71	1	no	—
951	#435	—	71	1	no	—
952	#435	—	71	1	no	—
953	#435	—	71	1	no	—
954	#435	—	71	1	no	—
955	#435	—	71	1	no	—
956	#435	—	71	1	no	—
957	C₈×D₄	—	71	1	no	—
958	C₈×D₄	—	71	1	no	—
959	C₈×D₄	—	71	1	no	—
960	C₈×D₄	—	71	1	no	—
961	C₈×D₄	—	71	1	no	—
962	C₈×D₄	—	71	1	no	—
963	C₈×D₄	—	71	1	no	—
964	C₈×D₄	—	71	1	no	—
965	#433	—	71	1	no	—
966	#433	—	71	1	no	—
967	#433	—	71	1	no	—
968	#433	—	71	1	no	—
969	#433	—	71	1	no	—
970	#433	—	71	1	no	—
971	#433	—	71	1	no	—
972	#433	—	71	1	no	—
973	#433	C₂×D₇₁	1	1	yes	characteristic
974	#433	C₂×D₇₁	1	1	yes	characteristic
975	#433	C₂×D₇₁	1	1	yes	characteristic
976	#433	C₂×D₇₁	1	1	yes	characteristic
977	#432	—	71	1	no	—
978	#432	—	71	1	no	—
979	#432	—	71	1	no	—
980	#432	—	71	1	no	—
981	#432	—	71	1	no	—
982	#432	—	71	1	no	—
983	#432	—	71	1	no	—
984	#432	—	71	1	no	—
985	#432	—	71	1	no	—
986	#432	—	71	1	no	—
987	#432	C₂×D₇₁	1	1	yes	characteristic
988	#432	C₂×D₇₁	1	1	yes	characteristic
989	#431	—	71	1	no	—
990	#431	—	71	1	no	—
991	#431	—	71	1	no	—
992	#431	—	71	1	no	—
993	#431	—	71	1	no	—
994	#431	—	71	1	no	—
995	#424	—	71	1	no	—
996	#424	—	71	1	no	—
997	#424	—	71	1	no	—
998	#424	—	71	1	no	—
999	#424	—	71	1	no	—
1000	#424	—	71	1	no	—
1001	#423	—	71	1	no	—
1002	#423	—	71	1	no	—
1003	#423	—	71	1	no	—
1004	#423	—	71	1	no	—
1005	#423	—	71	1	no	—
1006	C₂×C₄⋊C₈	—	71	1	no	—
1007	C₂×C₄⋊C₈	—	71	1	no	—
1008	C₂×C₄⋊C₈	—	71	1	no	—
1009	C₂×C₄⋊C₈	—	71	1	no	—
1010	#405	—	71	1	no	—
1011	#405	—	71	1	no	—
1012	#405	—	71	1	no	—
1013	#405	—	71	1	no	—
1014	#405	—	71	1	no	—
1015	#405	—	71	1	no	—
1016	C₄×M₁₆	—	71	1	no	—
1017	C₄×M₁₆	—	71	1	no	—
1018	C₄×M₁₆	—	71	1	no	—
1019	C₄×M₁₆	—	71	1	no	—
1020	C₂×#97	—	71	1	no	—
1021	C₂×#97	—	71	1	no	—
1022	C₂×#97	—	71	1	no	—
1023	C₂×#97	—	71	1	no	—
1024	C₂×C₄×C₈	—	71	1	no	—
1025	C₂×#41	—	71	1	no	—
1026	C₂×#41	—	71	1	no	—
1027	C₂×#41	—	71	1	no	—
1028	C₂×#41	—	71	1	no	—
1029	C₂²×Q₈	—	71	1	no	—
1030	C₂²×Q₈	—	71	1	no	—
1031	C₂×M₁₆	—	71	1	no	—
1032	C₂×M₁₆	—	71	1	no	—
1033	C₂×M₁₆	—	71	1	no	—
1034	C₂×M₁₆	—	71	1	no	—
1035	C₂×M₁₆	—	71	1	no	—
1036	C₂×M₁₆	—	71	1	no	—
1037	C₂×M₁₆	—	71	1	no	—
1038	C₂×M₁₆	—	71	1	no	—
1039	C₂×M₁₆	—	71	1	no	—
1040	C₂×M₁₆	—	71	1	no	—
1041	C₂²×C₈	—	71	1	no	—
1042	C₂²×C₈	—	71	1	no	—
1043	C₂²×C₈	—	71	1	no	—
1044	C₂²×C₈	—	71	1	no	—
1045	C₂²×C₈	—	71	1	no	—
1046	C₂²×C₈	—	71	1	no	—
1047	C₂²×C₈	—	71	1	no	—
1048	C₂²×C₈	—	71	1	no	—
1049	C₂²×C₈	—	71	1	no	—
1050	C₂²×C₈	—	71	1	no	—
1051	C₄⋊Q₈	—	71	1	no	—
1052	C₄⋊Q₈	—	71	1	no	—
1053	C₄⋊Q₈	—	71	1	no	—
1054	C₄⋊Q₈	—	71	1	no	—
1055	C₄⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1056	C₄⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1057	#126	—	71	1	no	—
1058	#126	—	71	1	no	—
1059	#126	—	71	1	no	—
1060	#126	—	71	1	no	—
1061	#126	—	71	1	no	—
1062	#126	—	71	1	no	—
1063	#126	—	71	1	no	—
1064	#126	—	71	1	no	—
1065	#126	—	71	1	no	—
1066	#126	—	71	1	no	—
1067	#126	—	71	1	no	—
1068	#126	—	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	#123	—	71	1	no	—
1088	#123	—	71	1	no	—
1089	#123	—	71	1	no	—
1090	#123	—	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	C₂²⋊Q₈	—	71	1	no	—
1100	C₂²⋊Q₈	—	71	1	no	—
1101	C₂²⋊Q₈	—	71	1	no	—
1102	C₂²⋊Q₈	—	71	1	no	—
1103	C₂²⋊Q₈	—	71	1	no	—
1104	C₂²⋊Q₈	—	71	1	no	—
1105	C₂²⋊Q₈	—	71	1	no	—
1106	C₂²⋊Q₈	—	71	1	no	—
1107	C₂²⋊Q₈	—	71	1	no	—
1108	C₂²⋊Q₈	—	71	1	no	—
1109	C₂²⋊Q₈	—	71	1	no	—
1110	C₂²⋊Q₈	—	71	1	no	—
1111	C₂²⋊Q₈	—	71	1	no	—
1112	C₂²⋊Q₈	—	71	1	no	—
1113	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1114	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1115	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1116	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1117	#121	—	71	1	no	—
1118	#121	—	71	1	no	—
1119	#121	—	71	1	no	—
1120	#121	—	71	1	no	—
1121	#121	—	71	1	no	—
1122	#121	—	71	1	no	—
1123	C₄×Q₈	—	71	1	no	—
1124	C₄×Q₈	—	71	1	no	—
1125	C₄×Q₈	—	71	1	no	—
1126	C₄×Q₈	—	71	1	no	—
1127	C₄×Q₈	—	71	1	no	—
1128	C₄×Q₈	—	71	1	no	—
1129	C₄×Q₈	—	71	1	no	—
1130	C₄×Q₈	—	71	1	no	—
1131	C₄×Q₈	—	71	1	no	—
1132	C₄×Q₈	—	71	1	no	—
1133	C₄×Q₈	—	71	1	no	—
1134	C₄×Q₈	—	71	1	no	—
1135	C₄×Q₈	—	71	1	no	—
1136	C₄×Q₈	—	71	1	no	—
1137	C₄×Q₈	—	71	1	no	—
1138	C₄×Q₈	—	71	1	no	—
1139	C₄×Q₈	—	71	1	no	—
1140	C₄×Q₈	—	71	1	no	—
1141	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1142	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1143	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1144	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1145	C₄×D₄	—	71	1	no	—
1146	C₄×D₄	—	71	1	no	—
1147	C₄×D₄	—	71	1	no	—
1148	C₄×D₄	—	71	1	no	—
1149	C₄×D₄	—	71	1	no	—
1150	C₄×D₄	—	71	1	no	—
1151	C₄×D₄	—	71	1	no	—
1152	C₄×D₄	—	71	1	no	—
1153	C₄×D₄	—	71	1	no	—
1154	C₄×D₄	—	71	1	no	—
1155	C₄×D₄	—	71	1	no	—
1156	C₄×D₄	—	71	1	no	—
1157	C₄×D₄	—	71	1	no	—
1158	C₄×D₄	—	71	1	no	—
1159	C₄×D₄	—	71	1	no	—
1160	C₄×D₄	—	71	1	no	—
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	#117	—	71	1	no	—
1168	#117	—	71	1	no	—
1169	#117	—	71	1	no	—
1170	#117	—	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	—	71	1	no	—
1180	#117	—	71	1	no	—
1181	#117	—	71	1	no	—
1182	#117	—	71	1	no	—
1183	#117	C₂²×D₇₁	1	1	yes	characteristic
1184	#117	C₂²×D₇₁	1	1	yes	characteristic
1185	C₂×C₄⋊C₄	—	71	1	no	—
1186	C₂×C₄⋊C₄	—	71	1	no	—
1187	C₂×C₄⋊C₄	—	71	1	no	—
1188	C₂×C₄⋊C₄	—	71	1	no	—
1189	C₂×C₄⋊C₄	—	71	1	no	—
1190	C₂×C₄⋊C₄	—	71	1	no	—
1191	C₂×C₄²	—	71	1	no	—
1192	C₂×C₄²	—	71	1	no	—
1193	C₂×C₄²	—	71	1	no	—
1194	C₂×C₄²	—	71	1	no	—
1195	C₂×C₄²	—	71	1	no	—
1196	C₂×C₄²	—	71	1	no	—
1197	C₂×C₄²	—	71	1	no	—
1198	C₂×C₄²	—	71	1	no	—
1199	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
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	—	71	1	no	—
1215	C₄⋊C₈	—	71	1	no	—
1216	C₄⋊C₈	—	71	1	no	—
1217	C₄⋊C₈	—	71	1	no	—
1218	C₄⋊C₈	—	71	1	no	—
1219	C₄⋊C₈	—	71	1	no	—
1220	C₄⋊C₈	—	71	1	no	—
1221	C₄⋊C₈	—	71	1	no	—
1222	C₄⋊C₈	—	71	1	no	—
1223	C₄⋊C₈	—	71	1	no	—
1224	C₄⋊C₈	—	71	1	no	—
1225	C₄⋊C₈	—	71	1	no	—
1226	C₄⋊C₈	—	71	1	no	—
1227	C₄⋊C₈	—	71	1	no	—
1228	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1229	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1230	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1231	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1232	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1233	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1234	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1235	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1236	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1237	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1238	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1239	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1240	C₂²⋊C₈	—	71	1	no	—
1241	C₂²⋊C₈	—	71	1	no	—
1242	C₂²⋊C₈	—	71	1	no	—
1243	C₂²⋊C₈	—	71	1	no	—
1244	C₂²⋊C₈	—	71	1	no	—
1245	C₂²⋊C₈	—	71	1	no	—
1246	C₂²⋊C₈	—	71	1	no	—
1247	C₂²⋊C₈	—	71	1	no	—
1248	C₂²⋊C₈	—	71	1	no	—
1249	C₂²⋊C₈	—	71	1	no	—
1250	C₂²⋊C₈	—	71	1	no	—
1251	C₂²⋊C₈	—	71	1	no	—
1252	C₂²⋊C₈	—	71	1	no	—
1253	C₂²⋊C₈	—	71	1	no	—
1254	C₂²⋊C₈	—	71	1	no	—
1255	C₂²⋊C₈	—	71	1	no	—
1256	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1257	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1258	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1259	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1260	#97	—	71	1	no	—
1261	#97	—	71	1	no	—
1262	#97	—	71	1	no	—
1263	#97	—	71	1	no	—
1264	#97	—	71	1	no	—
1265	#97	—	71	1	no	—
1266	#97	—	71	1	no	—
1267	#97	—	71	1	no	—
1268	#97	—	71	1	no	—
1269	#97	—	71	1	no	—
1270	#97	—	71	1	no	—
1271	#97	—	71	1	no	—
1272	#97	—	71	1	no	—
1273	#97	—	71	1	no	—
1274	#97	—	71	1	no	—
1275	#97	—	71	1	no	—
1276	#97	C₂²×D₇₁	1	1	yes	characteristic
1277	#97	C₂²×D₇₁	1	1	yes	characteristic
1278	#97	C₂²×D₇₁	1	1	yes	characteristic
1279	#97	C₂²×D₇₁	1	1	yes	characteristic
1280	#97	C₂²×D₇₁	1	1	yes	characteristic
1281	#97	C₂²×D₇₁	1	1	yes	characteristic
1282	#97	C₂²×D₇₁	1	1	yes	characteristic
1283	#97	C₂²×D₇₁	1	1	yes	characteristic
1284	C₄×C₈	—	71	1	no	—
1285	C₄×C₈	—	71	1	no	—
1286	C₄×C₈	—	71	1	no	—
1287	C₄×C₈	—	71	1	no	—
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	C₂²×D₇₁	1	1	yes	characteristic
1297	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1298	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1299	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1300	#41	—	284	2	no	—
1301	#41	—	284	2	no	—
1302	#41	—	284	2	no	—
1303	#41	—	284	2	no	—
1304	C₂×Q₈	—	284	2	no	—
1305	C₂×Q₈	—	284	2	no	—
1306	C₂×Q₈	—	71	1	no	—
1307	C₂×Q₈	—	71	1	no	—
1308	C₂×Q₈	—	71	1	no	—
1309	C₂×Q₈	—	71	1	no	—
1310	C₂×Q₈	—	71	1	no	—
1311	C₂×Q₈	—	71	1	no	—
1312	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1313	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1314	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1315	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1316	C₂×D₄	—	71	1	no	—
1317	C₂×D₄	—	71	1	no	—
1318	C₂×D₄	—	71	1	no	—
1319	C₂×D₄	—	71	1	no	—
1320	C₂×D₄	—	71	1	no	—
1321	C₂×D₄	—	71	1	no	—
1322	C₂×D₄	—	71	1	no	—
1323	C₂×D₄	—	71	1	no	—
1324	C₂×D₄	—	71	1	no	—
1325	C₂×D₄	—	71	1	no	—
1326	C₂²×C₄	—	71	1	no	—
1327	C₂²×C₄	—	71	1	no	—
1328	C₂²×C₄	—	71	1	no	—
1329	C₂²×C₄	—	71	1	no	—
1330	C₂²×C₄	—	71	1	no	—
1331	C₂²×C₄	—	71	1	no	—
1332	C₂²×C₄	—	71	1	no	—
1333	C₂²×C₄	—	71	1	no	—
1334	C₂²×C₄	—	71	1	no	—
1335	C₂²×C₄	—	71	1	no	—
1336	C₂²×C₄	—	71	1	no	—
1337	C₂²×C₄	—	71	1	no	—
1338	C₂²×C₄	—	71	1	no	—
1339	C₂²×C₄	—	71	1	no	—
1340	C₂²×C₄	—	71	1	no	—
1341	C₂²×C₄	—	71	1	no	—
1342	C₂²×C₄	—	71	1	no	—
1343	C₂²×C₄	—	71	1	no	—
1344	C₂²×C₄	—	71	1	no	—
1345	C₂²×C₄	—	71	1	no	—
1346	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1347	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1348	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1349	M₁₆	—	284	1	no	—
1350	M₁₆	—	284	1	no	—
1351	M₁₆	—	284	1	no	—
1352	M₁₆	—	284	1	no	—
1353	M₁₆	—	284	1	no	—
1354	M₁₆	—	284	1	no	—
1355	M₁₆	—	284	1	no	—
1356	M₁₆	—	284	1	no	—
1357	M₁₆	—	142	2	no	—
1358	M₁₆	—	142	2	no	—
1359	C₂×C₈	—	284	1	no	—
1360	C₂×C₈	—	284	1	no	—
1361	C₂×C₈	—	284	1	no	—
1362	C₂×C₈	—	284	1	no	—
1363	C₂×C₈	—	284	1	no	—
1364	C₂×C₈	—	284	1	no	—
1365	C₂×C₈	—	284	1	no	—
1366	C₂×C₈	—	71	1	no	—
1367	C₂×C₈	—	71	1	no	—
1368	C₂×C₈	—	71	1	no	—
1369	C₂×C₈	—	71	1	no	—
1370	C₂×C₈	—	71	1	no	—
1371	C₂×C₈	—	71	1	no	—
1372	C₂×C₈	—	71	1	no	—
1373	C₂×C₈	—	71	1	no	—
1374	C₂×C₈	—	142	2	no	—
1375	C₂×C₈	—	142	2	no	—
1376	C₂×C₈	—	142	2	no	—
1377	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1378	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1379	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1380	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1381	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1382	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1383	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1384	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
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	—	71	1	no	—
1402	C₄⋊C₄	—	71	1	no	—
1403	C₄⋊C₄	—	71	1	no	—
1404	C₄⋊C₄	—	71	1	no	—
1405	C₄⋊C₄	—	71	1	no	—
1406	C₄⋊C₄	—	71	1	no	—
1407	C₄⋊C₄	—	71	1	no	—
1408	C₄⋊C₄	—	71	1	no	—
1409	C₄⋊C₄	—	71	1	no	—
1410	C₄⋊C₄	—	71	1	no	—
1411	C₄⋊C₄	—	71	1	no	—
1412	C₄⋊C₄	—	71	1	no	—
1413	C₄⋊C₄	—	71	1	no	—
1414	C₄⋊C₄	—	71	1	no	—
1415	C₄⋊C₄	—	71	1	no	—
1416	C₄⋊C₄	—	71	1	no	—
1417	C₄⋊C₄	—	71	1	no	—
1418	C₄⋊C₄	—	71	1	no	—
1419	C₄⋊C₄	—	71	1	no	—
1420	C₄⋊C₄	—	71	1	no	—
1421	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1422	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1430	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1431	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1432	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1433	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1434	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1436	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
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	—	71	1	no	—
1454	C₂²⋊C₄	—	71	1	no	—
1455	C₂²⋊C₄	—	71	1	no	—
1456	C₂²⋊C₄	—	71	1	no	—
1457	C₂²⋊C₄	—	71	1	no	—
1458	C₂²⋊C₄	—	71	1	no	—
1459	C₂²⋊C₄	—	71	1	no	—
1460	C₂²⋊C₄	—	71	1	no	—
1461	C₂²⋊C₄	—	71	1	no	—
1462	C₂²⋊C₄	—	71	1	no	—
1463	C₂²⋊C₄	—	71	1	no	—
1464	C₂²⋊C₄	—	71	1	no	—
1465	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1466	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1468	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1469	C₄²	—	71	1	no	—
1470	C₄²	—	71	1	no	—
1471	C₄²	—	71	1	no	—
1472	C₄²	—	71	1	no	—
1473	C₄²	—	71	1	no	—
1474	C₄²	—	71	1	no	—
1475	C₄²	—	71	1	no	—
1476	C₄²	—	71	1	no	—
1477	C₄²	—	71	1	no	—
1478	C₄²	—	71	1	no	—
1479	C₄²	—	71	1	no	—
1480	C₄²	—	71	1	no	—
1481	C₄²	—	71	1	no	—
1482	C₄²	—	71	1	no	—
1483	C₄²	—	71	1	no	—
1484	C₄²	—	71	1	no	—
1485	C₄²	—	71	1	no	—
1486	C₄²	—	71	1	no	—
1487	C₄²	—	71	1	no	—
1488	C₄²	—	71	1	no	—
1489	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1490	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1491	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1492	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1493	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1494	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1495	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1496	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1497	C₂³	—	71	1	no	—
1498	C₂³	—	71	1	no	—
1499	C₂³	—	71	1	no	—
1500	C₂³	—	71	1	no	—
1501	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1502	Q₈	—	4	1	no	—
1503	Q₈	—	4	1	no	—
1504	Q₈	—	4	1	no	—
1505	Q₈	—	4	1	no	—
1506	Q₈	—	284	1	no	—
1507	Q₈	—	284	1	no	—
1508	Q₈	—	284	1	no	—
1509	Q₈	—	142	2	no	—
1510	Q₈	—	142	2	no	—
1511	Q₈	—	142	2	no	—
1512	D₄	—	284	1	no	—
1513	D₄	—	284	1	no	—
1514	D₄	—	284	1	no	—
1515	D₄	—	284	1	no	—
1516	D₄	—	284	1	no	—
1517	D₄	—	142	2	no	—
1518	D₄	—	142	2	no	—
1519	D₄	—	142	2	no	—
1520	D₄	—	142	2	no	—
1521	D₄	—	142	2	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	4	1	no	—
1525	C₂×C₄	—	4	1	no	—
1526	C₂×C₄	—	284	1	no	—
1527	C₂×C₄	—	284	1	no	—
1528	C₂×C₄	—	284	1	no	—
1529	C₂×C₄	—	284	1	no	—
1530	C₂×C₄	—	284	1	no	—
1531	C₂×C₄	—	284	1	no	—
1532	C₂×C₄	—	284	1	no	—
1533	C₂×C₄	—	284	1	no	—
1534	C₂×C₄	—	284	1	no	—
1535	C₂×C₄	—	284	1	no	—
1536	C₂×C₄	—	71	1	no	—
1537	C₂×C₄	—	71	1	no	—
1538	C₂×C₄	—	71	1	no	—
1539	C₂×C₄	—	71	1	no	—
1540	C₂×C₄	—	71	1	no	—
1541	C₂×C₄	—	71	1	no	—
1542	C₂×C₄	—	71	1	no	—
1543	C₂×C₄	—	71	1	no	—
1544	C₂×C₄	—	71	1	no	—
1545	C₂×C₄	—	71	1	no	—
1546	C₂×C₄	—	71	1	no	—
1547	C₂×C₄	—	71	1	no	—
1548	C₂×C₄	—	142	2	no	—
1549	C₂×C₄	—	142	2	no	—
1550	C₂×C₄	—	142	2	no	—
1551	C₂×C₄	—	142	2	no	—
1552	C₂×C₄	—	142	2	no	—
1553	C₂×C₄	—	142	2	no	—
1554	C₂×C₄	—	142	1	no	—
1555	C₂×C₄	—	142	1	no	—
1556	C₂×C₄	—	142	1	no	—
1557	C₂×C₄	—	142	1	no	—
1558	C₂×C₄	—	142	1	no	—
1559	C₂×C₄	—	142	1	no	—
1560	C₂×C₄	—	142	1	no	—
1561	C₂×C₄	—	142	1	no	—
1562	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1563	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1564	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1565	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1566	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1567	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1568	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1569	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1570	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1571	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1572	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1573	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1574	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1575	C₂×C₄	C₂⁴×D₇₁	1	1	yes	characteristic
1576	C₈	—	2	1	no	—
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	2	1	no	—
1580	C₈	—	2	1	no	—
1581	C₈	—	2	1	no	—
1582	C₈	—	2	1	no	—
1583	C₈	—	2	1	no	—
1584	C₈	—	71	2	no	—
1585	C₈	—	142	1	no	—
1586	C₈	—	142	1	no	—
1587	C₈	—	142	1	no	—
1588	C₈	—	142	1	no	—
1589	C₈	—	142	1	no	—
1590	C₈	—	142	1	no	—
1591	C₈	—	142	1	no	—
1592	C₂²	—	2	1	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	71	2	no	—
1596	C₂²	—	142	1	no	—
1597	C₂²	—	142	1	no	—
1598	C₂²	—	142	1	no	—
1599	C₂²	—	142	1	no	—
1600	C₂²	—	142	1	no	—
1601	C₂²	—	142	1	no	—
1602	C₂²	—	142	1	no	—
1603	C₂²	—	142	1	no	—
1604	C₂²	—	142	1	no	—
1605	C₂²	—	142	1	no	—
1606	C₂²	—	142	1	no	—
1607	C₂²	C₂³×C₄×D₇₁	1	1	yes	characteristic
1608	C₄	—	2	1	no	—
1609	C₄	—	2	1	no	—
1610	C₄	—	2	1	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	71	2	no	—
1622	C₄	—	142	1	no	—
1623	C₄	—	142	1	no	—
1624	C₄	—	142	1	no	—
1625	C₄	—	142	1	no	—
1626	C₄	—	142	1	no	—
1627	C₄	—	142	1	no	—
1628	C₄	—	142	1	no	—
1629	C₄	—	142	1	no	—
1630	C₄	—	142	1	no	—
1631	C₄	—	142	1	no	—
1632	C₄	—	142	1	no	—
1633	C₄	2₋¹⁺⁴×D₇₁	1	1	yes	characteristic
1634	C₄	#17986836	1	1	yes	characteristic
1635	C₂	—	4	1	no	—
1636	C₂	—	284	1	no	—
1637	C₂	—	284	1	no	—
1638	C₂	—	284	1	no	—
1639	C₂	—	142	2	no	—
1640	C₂	#22601549	1	1	yes	characteristic
1641	C₂	#568×D₇₁	1	1	yes	characteristic
1642	C₂	#568×D₇₁	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₁
commutator, socle	C₂²×C₇₁	C₂⁴×C₄
Fitting	C₇₁×#2987	C₂
prime radical	#22601958	C₂
cosocle	C₂×C₄×C₇₁	C₂⁵
hypercenter	#2987	D₇₁
hypocenter	C₇₁	#60342
LCS	G ▷ C₂²×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂×C₄ ◁ #2987

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. #22597494	C₂	semidirect
5. #22597483	C₂	semidirect
6. #22597478	C₂	semidirect
7. #22597474	C₂	semidirect
8. #22597464	C₂	semidirect
9. #22597459	C₂	semidirect
10. #22597459	C₂	semidirect
11. #22597456	C₂	semidirect
12. #22597443	C₂	semidirect
13. #22597433	C₂	semidirect
14. #22597426	C₂	semidirect
15. #22597422	C₂	semidirect
16. #22597353	C₂	semidirect
17. #22597349	C₂	semidirect
18. #22597349	C₂	semidirect
19. #22597342	C₂	semidirect
20. #22597333	C₂	semidirect
21. #22597332	C₂	semidirect
22. #22597324	C₂	semidirect
23. #22597323	C₂	semidirect
24. #22597313	C₂	semidirect
25. #22597305	C₂	semidirect
26. #22597292	C₂	semidirect
27. #22597285	C₂	semidirect
28. #22597281	C₂	semidirect
29. #22597276	C₂	semidirect
30. #446×D₇₁	C₂	semidirect
31. C₇₁×#2987	C₂	semidirect
834. #2987	D₇₁	semidirect
853. C₇₁	#60342	semidirect

Maximal subgroups

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

subgroup	index
#22601958	2
#22597509	2
#22597505	2
#22597494	2
#22597483	2
#22597478	2
#22597474	2
#22597464	2
#22597459	2
#22597456	2
#22597443	2
#22597433	2
#22597426	2
#22597422	2
#22597353	2
#22597349	2
#22597342	2
#22597333	2
#22597332	2
#22597324	2
#22597323	2
#22597313	2
#22597305	2
#22597292	2
#22597285	2
#22597281	2
#22597276	2
#446×D₇₁	2
C₇₁×#2987	2
#60342	71