Subgroups — #32863348

Order 18176.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22601758	C₂	1	1	yes	maximal, characteristic
2	#22597498	C₂	1	1	yes	maximal, characteristic, complemented
3	#22597493	C₂	1	1	yes	maximal, characteristic, complemented
4	#22597487	C₂	1	1	yes	maximal, characteristic, complemented
5	#22597486	C₂	1	1	yes	maximal, characteristic, complemented
6	#22597452	C₂	1	1	yes	maximal, characteristic, complemented
7	#22597447	C₂	1	1	yes	maximal, characteristic, complemented
8	#22597413	C₂	1	1	yes	maximal, characteristic, complemented
9	#22597412	C₂	1	1	yes	maximal, characteristic, complemented
10	#22597405	C₂	1	1	yes	maximal, characteristic, complemented
11	#22597404	C₂	1	1	yes	maximal, characteristic, complemented
12	#22597396	C₂	1	1	yes	maximal, characteristic, complemented
13	#22597394	C₂	1	1	yes	maximal, characteristic, complemented
14	#22597393	C₂	1	1	yes	maximal, characteristic, complemented
15	#22597391	C₂	1	1	yes	maximal, characteristic, complemented
16	#22597362	C₂	1	1	yes	maximal, characteristic, complemented
17	#22597340	C₂	1	1	yes	maximal, characteristic, complemented
18	#22597339	C₂	1	1	yes	maximal, characteristic, complemented
19	#22597311	C₂	1	1	yes	maximal, characteristic, complemented
20	#22597310	C₂	1	1	yes	maximal, characteristic, complemented
21	#22597300	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈×#11765864	C₂	1	1	yes	maximal, characteristic, complemented
23	#22597082	C₂	1	1	yes	maximal, characteristic, complemented
24	#22597081	C₂	1	1	yes	maximal, characteristic, complemented
25	#22597066	C₂	1	1	yes	maximal, characteristic, complemented
26	#22597065	C₂	1	1	yes	maximal, characteristic, complemented
27	#22597060	C₂	1	1	yes	maximal, characteristic, complemented
28	#22597050	C₂	1	1	yes	maximal, characteristic, complemented
29	#22597049	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#17986075	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₁×#2933	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556136	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14556136	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14556134	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11765848	C₂²	1	1	yes	characteristic
36	#17986628	C₄	1	1	yes	characteristic
37	#17986619	C₄	1	1	yes	characteristic
38	#17986619	C₄	1	1	yes	characteristic
39	#17986617	C₄	1	1	yes	characteristic
40	#17986617	C₄	1	1	yes	characteristic
41	#17986601	C₄	1	1	yes	characteristic
42	#17986601	C₄	1	1	yes	characteristic
43	#17986599	C₄	1	1	yes	characteristic
44	#17986599	C₄	1	1	yes	characteristic
45	#17986589	C₄	1	1	yes	characteristic
46	#17986586	C₄	1	1	yes	characteristic
47	#17986584	C₄	1	1	yes	characteristic
48	#17986584	C₄	1	1	yes	characteristic
49	#17986576	C₄	1	1	yes	characteristic
50	#17986564	C₄	1	1	yes	characteristic
51	#17986564	C₄	1	1	yes	characteristic
52	#17986546	C₂²	1	1	yes	characteristic
53	#17986546	C₂²	1	1	yes	characteristic
54	#17986545	C₂²	1	1	yes	characteristic
55	#17986545	C₂²	1	1	yes	characteristic
56	#17986529	C₂²	1	1	yes	characteristic
57	#17986529	C₂²	1	1	yes	characteristic
58	#17986527	C₂²	1	1	yes	characteristic
59	#17986527	C₂²	1	1	yes	characteristic
60	#17986510	C₂²	1	1	yes	characteristic
61	#17986508	C₂²	1	1	yes	characteristic
62	#17986508	C₂²	1	1	yes	characteristic
63	C₄×#11765864	C₂²	1	1	yes	characteristic
64	C₄×#11765864	C₂²	1	1	yes	characteristic
65	C₂×C₄×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
66	#17986128	C₂²	1	1	yes	characteristic, complemented
67	#17986128	C₂²	1	1	yes	characteristic, complemented
68	#17986127	C₂²	1	1	yes	characteristic, complemented
69	#17986127	C₂²	1	1	yes	characteristic, complemented
70	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic, complemented
71	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic, complemented
72	#17986123	C₂²	1	1	yes	characteristic, complemented
73	#17986123	C₂²	1	1	yes	characteristic, complemented
74	#17986078	C₂²	1	1	yes	characteristic, complemented
75	#17986076	C₂²	1	1	yes	characteristic, complemented
76	#17986075	C₂²	1	1	yes	characteristic
77	#17986075	C₂²	1	1	yes	characteristic
78	#17986075	C₂²	1	1	yes	characteristic
79	#17986075	C₂²	1	1	yes	characteristic
80	#17986075	C₂²	1	1	yes	characteristic
81	#17986075	C₂²	1	1	yes	characteristic
82	#17986075	C₂²	1	1	yes	characteristic
83	#17986075	C₂²	1	1	yes	characteristic
84	#17986075	C₂²	1	1	yes	characteristic, complemented
85	#17986075	C₂²	1	1	yes	characteristic, complemented
86	#17986075	C₂²	1	1	yes	characteristic, complemented
87	#17986075	C₂²	1	1	yes	characteristic, complemented
88	#17986075	C₂²	1	1	yes	characteristic, complemented
89	#17986074	C₂²	1	1	yes	characteristic, complemented
90	#17986074	C₂²	1	1	yes	characteristic, complemented
91	#17986074	C₂²	1	1	yes	characteristic, complemented
92	#17986073	C₂²	1	1	yes	characteristic, complemented
93	#17986072	C₂²	1	1	yes	characteristic, complemented
94	#17986072	C₂²	1	1	yes	characteristic, complemented
95	#17986071	C₂²	1	1	yes	characteristic
96	#17986071	C₂²	1	1	yes	characteristic
97	#17986071	C₂²	1	1	yes	characteristic, complemented
98	#17986071	C₂²	1	1	yes	characteristic, complemented
99	#17986070	C₂²	1	1	yes	characteristic
100	#17986070	C₂²	1	1	yes	characteristic
101	#17986070	C₂²	1	1	yes	characteristic, complemented
102	#17986070	C₂²	1	1	yes	characteristic, complemented
103	#17986070	C₂²	1	1	yes	characteristic, complemented
104	#17986069	C₂²	1	1	yes	characteristic, complemented
105	#17986069	C₂²	1	1	yes	characteristic, complemented
106	#17986068	C₂²	1	1	yes	characteristic, complemented
107	#17986068	C₂²	1	1	yes	characteristic, complemented
108	#17986068	C₂²	1	1	yes	characteristic, complemented
109	#17986067	C₂²	1	1	yes	characteristic
110	#17986067	C₂²	1	1	yes	characteristic
111	#17986067	C₂²	1	1	yes	characteristic, complemented
112	C₈×D₂₈₄	C₂²	1	1	yes	characteristic, complemented
113	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic
114	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic
115	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
116	D₄×C₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
117	#17986064	C₂²	1	1	yes	characteristic, complemented
118	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
119	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
120	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
121	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
122	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
123	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
124	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
125	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
126	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
127	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
128	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
129	(C₂²⋊D₇₁)⋊C₈	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	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic
135	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
138	#17986061	C₂²	1	1	yes	characteristic, complemented
139	#17986060	C₂²	1	1	yes	characteristic, complemented
140	#17986060	C₂²	1	1	yes	characteristic, complemented
141	#17986059	C₂²	1	1	yes	characteristic, complemented
142	#17986059	C₂²	1	1	yes	characteristic, complemented
143	#17986058	C₂²	1	1	yes	characteristic, complemented
144	#17986057	C₂²	1	1	yes	characteristic, complemented
145	#17986057	C₂²	1	1	yes	characteristic, complemented
146	#17986054	C₂²	1	1	yes	characteristic, complemented
147	#17986053	C₂²	1	1	yes	characteristic, complemented
148	#17986051	C₂²	1	1	yes	characteristic, complemented
149	#17986051	C₂²	1	1	yes	characteristic, complemented
150	#17986050	C₂²	1	1	yes	characteristic, complemented
151	#17986049	C₂²	1	1	yes	characteristic
152	#17986049	C₂²	1	1	yes	characteristic
153	#17986049	C₂²	1	1	yes	characteristic, complemented
154	#17986049	C₂²	1	1	yes	characteristic, complemented
155	#17986049	C₂²	1	1	yes	characteristic, complemented
156	#17986027	C₂²	1	1	yes	characteristic, complemented
157	#17986024	C₂²	1	1	yes	characteristic, complemented
158	#17986024	C₂²	1	1	yes	characteristic, complemented
159	#17986022	C₂²	1	1	yes	characteristic, complemented
160	#17986021	C₂²	1	1	yes	characteristic, complemented
161	C₂×Dic₇₁⋊C₈	C₂²	1	1	yes	characteristic
162	C₂×Dic₇₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
163	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
164	#17985967	C₂²	1	1	yes	characteristic, complemented
165	#17985967	C₂²	1	1	yes	characteristic, complemented
166	#17985966	C₂²	1	1	yes	characteristic, complemented
167	#17985966	C₂²	1	1	yes	characteristic, complemented
168	#17985965	C₂²	1	1	yes	characteristic, complemented
169	#17985964	C₂²	1	1	yes	characteristic, complemented
170	#17985964	C₂²	1	1	yes	characteristic, complemented
171	#17985964	C₂²	1	1	yes	characteristic, complemented
172	#17985964	C₂²	1	1	yes	characteristic, complemented
173	#17985964	C₂²	1	1	yes	characteristic, complemented
174	#17985964	C₂²	1	1	yes	characteristic, complemented
175	C₂×C₂²⋊(C₇₁⋊C₈)	C₂²	1	1	yes	characteristic
176	C₂×C₂²⋊(C₇₁⋊C₈)	C₂²	1	1	yes	characteristic
177	C₂×(C₂×D₇₁)⋊C₈	C₂²	1	1	yes	characteristic
178	C₂²⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
179	C₂²⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
180	#17985957	C₂²	1	1	yes	characteristic, complemented
181	#17985956	C₂²	1	1	yes	characteristic, complemented
182	#17985953	C₂²	1	1	yes	characteristic, complemented
183	#17985951	C₂²	1	1	yes	characteristic, complemented
184	M₁₆×Dic₇₁	C₂²	1	1	yes	characteristic, complemented
185	C₂×C₈×Dic₇₁	C₂²	1	1	yes	characteristic
186	C₂×C₈×Dic₇₁	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
188	C₂×#131×C₇₁	C₂²	1	1	yes	characteristic, complemented
189	C₂²×M₁₆×C₇₁	C₂²	1	1	yes	characteristic
190	#525×C₇₁	C₂²	1	1	yes	characteristic
191	#436×C₇₁	C₂²	1	1	yes	characteristic, complemented
192	#436×C₇₁	C₂²	1	1	yes	characteristic, complemented
193	#435×C₇₁	C₂²	1	1	yes	characteristic
194	#435×C₇₁	C₂²	1	1	yes	characteristic
195	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
196	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
197	C₈×D₄×C₇₁	C₂²	1	1	yes	characteristic
198	C₈×D₄×C₇₁	C₂²	1	1	yes	characteristic
199	#424×C₇₁	C₂²	1	1	yes	characteristic, complemented
200	#408×C₇₁	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₈×C₇₁	C₂²	1	1	yes	characteristic
202	#405×C₇₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11765865	C₂³	1	1	yes	characteristic
204	C₂×#11765865	C₂³	1	1	yes	characteristic
205	C₂×#11765865	C₂³	1	1	yes	characteristic
206	C₂×#11765864	C₂×C₄	1	1	yes	characteristic
207	C₂×#11765864	C₂×C₄	1	1	yes	characteristic
208	C₂²×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
209	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
210	#14556136	—	4	2	no	—
211	#14556136	—	4	2	no	—
212	#14556134	—	4	2	no	—
213	C₂×#11765849	C₂³	1	1	yes	characteristic
214	C₂×#11765849	C₂³	1	1	yes	characteristic
215	C₂×#11765848	—	4	2	no	—
216	C₂×#11765848	C₂³	1	1	yes	characteristic
217	C₂×#11765848	C₂³	1	1	yes	characteristic
218	C₂×#11765848	C₂³	1	1	yes	characteristic
219	C₂×#11765848	C₂³	1	1	yes	characteristic
220	C₂×#11765848	C₂³	1	1	yes	characteristic
221	C₂×#11765848	C₂³	1	1	yes	characteristic
222	C₂×#11765848	C₂³	1	1	yes	characteristic
223	C₂×#11765848	C₂³	1	1	yes	characteristic
224	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
225	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
226	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
227	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
228	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
229	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
230	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
231	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
232	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
233	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
234	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
235	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
236	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
237	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
238	#14556127	C₂×C₄	1	1	yes	characteristic
239	#14556127	C₂×C₄	1	1	yes	characteristic
240	#14556126	C₂×C₄	1	1	yes	characteristic
241	#14556126	C₂×C₄	1	1	yes	characteristic
242	#14556124	C₂×C₄	1	1	yes	characteristic
243	#14556124	C₂×C₄	1	1	yes	characteristic
244	#14556124	C₂×C₄	1	1	yes	characteristic
245	#14556124	C₂×C₄	1	1	yes	characteristic
246	#14556123	C₂×C₄	1	1	yes	characteristic
247	#14556123	C₂×C₄	1	1	yes	characteristic
248	#14556123	C₂×C₄	1	1	yes	characteristic
249	#14556123	C₂×C₄	1	1	yes	characteristic
250	#14556121	C₂×C₄	1	1	yes	characteristic
251	#14556121	C₂×C₄	1	1	yes	characteristic
252	#14556121	C₂×C₄	1	1	yes	characteristic
253	#14556121	C₂×C₄	1	1	yes	characteristic
254	#14556118	C₂×C₄	1	1	yes	characteristic
255	#14556118	C₂×C₄	1	1	yes	characteristic
256	#14556118	C₂×C₄	1	1	yes	characteristic
257	#14556118	C₂×C₄	1	1	yes	characteristic
258	#14556117	C₂×C₄	1	1	yes	characteristic
259	#14556117	C₂×C₄	1	1	yes	characteristic
260	#14556115	C₂×C₄	1	1	yes	characteristic
261	#14556115	C₂×C₄	1	1	yes	characteristic
262	#14556114	C₂×C₄	1	1	yes	characteristic
263	#14556114	C₂×C₄	1	1	yes	characteristic
264	#14556114	C₂×C₄	1	1	yes	characteristic
265	#14556114	C₂×C₄	1	1	yes	characteristic
266	#14556114	C₂×C₄	1	1	yes	characteristic
267	#14556114	C₂×C₄	1	1	yes	characteristic
268	#14556114	C₂×C₄	1	1	yes	characteristic
269	#14556114	C₂×C₄	1	1	yes	characteristic
270	#14556113	C₂×C₄	1	1	yes	characteristic
271	#14556113	C₂×C₄	1	1	yes	characteristic
272	#14556113	C₂×C₄	1	1	yes	characteristic
273	#14556113	C₂×C₄	1	1	yes	characteristic
274	#14556112	C₂×C₄	1	1	yes	characteristic
275	#14556112	C₂×C₄	1	1	yes	characteristic
276	#14556111	C₂×C₄	1	1	yes	characteristic
277	#14556111	C₂×C₄	1	1	yes	characteristic
278	#14556110	C₂×C₄	1	1	yes	characteristic
279	#14556110	C₂×C₄	1	1	yes	characteristic
280	#14556110	C₂×C₄	1	1	yes	characteristic
281	#14556110	C₂×C₄	1	1	yes	characteristic
282	#14556109	C₂×C₄	1	1	yes	characteristic
283	#14556109	C₂×C₄	1	1	yes	characteristic
284	#14556107	C₂×C₄	1	1	yes	characteristic
285	#14556107	C₂×C₄	1	1	yes	characteristic
286	#14556106	C₂×C₄	1	1	yes	characteristic
287	#14556106	C₂×C₄	1	1	yes	characteristic
288	#14556106	C₂×C₄	1	1	yes	characteristic
289	#14556106	C₂×C₄	1	1	yes	characteristic
290	#14556105	C₂×C₄	1	1	yes	characteristic
291	#14556105	C₂×C₄	1	1	yes	characteristic
292	#14556105	C₂×C₄	1	1	yes	characteristic
293	#14556105	C₂×C₄	1	1	yes	characteristic
294	#14556103	C₂×C₄	1	1	yes	characteristic
295	#14556103	C₂×C₄	1	1	yes	characteristic
296	#14556102	C₂×C₄	1	1	yes	characteristic
297	#14556102	C₂×C₄	1	1	yes	characteristic
298	#14556101	C₂×C₄	1	1	yes	characteristic
299	#14556101	C₂×C₄	1	1	yes	characteristic
300	#14556101	C₂×C₄	1	1	yes	characteristic
301	#14556101	C₂×C₄	1	1	yes	characteristic
302	#14556101	C₂×C₄	1	1	yes	characteristic
303	#14556101	C₂×C₄	1	1	yes	characteristic
304	#14556101	C₂×C₄	1	1	yes	characteristic
305	#14556101	C₂×C₄	1	1	yes	characteristic
306	#14556100	C₂×C₄	1	1	yes	characteristic
307	#14556100	C₂×C₄	1	1	yes	characteristic
308	#14556100	C₂×C₄	1	1	yes	characteristic
309	#14556100	C₂×C₄	1	1	yes	characteristic
310	#14556100	C₂×C₄	1	1	yes	characteristic
311	#14556100	C₂×C₄	1	1	yes	characteristic
312	#14556100	C₂×C₄	1	1	yes	characteristic
313	#14556100	C₂×C₄	1	1	yes	characteristic
314	#14556100	C₂×C₄	1	1	yes	characteristic
315	#14556100	C₂×C₄	1	1	yes	characteristic
316	#14556100	C₂×C₄	1	1	yes	characteristic
317	#14556100	C₂×C₄	1	1	yes	characteristic
318	#14556099	C₂×C₄	1	1	yes	characteristic
319	#14556099	C₂×C₄	1	1	yes	characteristic
320	#14556098	C₂×C₄	1	1	yes	characteristic
321	#14556098	C₂×C₄	1	1	yes	characteristic
322	#14556097	C₂×C₄	1	1	yes	characteristic
323	#14556097	C₂×C₄	1	1	yes	characteristic
324	#14556096	C₂×C₄	1	1	yes	characteristic
325	#14556096	C₂×C₄	1	1	yes	characteristic
326	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
327	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
328	#14556093	C₂×C₄	1	1	yes	characteristic
329	#14556093	C₂×C₄	1	1	yes	characteristic
330	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
331	C₄×D₂₈₄	C₂³	1	1	yes	characteristic
332	D₄×Dic₇₁	C₂×C₄	1	1	yes	characteristic
333	D₄×Dic₇₁	C₂×C₄	1	1	yes	characteristic
334	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
335	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
336	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
337	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
338	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
339	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
340	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
341	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
342	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
343	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
344	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
345	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
346	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
347	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
348	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
349	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
350	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
351	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
352	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
353	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
354	#14556087	C₂³	1	1	yes	characteristic
355	#14556086	C₂×C₄	1	1	yes	characteristic
356	#14556086	C₂×C₄	1	1	yes	characteristic
357	#14556085	C₂³	1	1	yes	characteristic
358	#14556085	C₂³	1	1	yes	characteristic
359	#14556084	C₂×C₄	1	1	yes	characteristic
360	#14556084	C₂×C₄	1	1	yes	characteristic
361	#14556084	C₂×C₄	1	1	yes	characteristic
362	#14556084	C₂×C₄	1	1	yes	characteristic
363	C₂×Dic₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
364	C₂×C₂²⋊Dic₇₁	C₂×C₄	1	1	yes	characteristic
365	C₂×(C₂×D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
366	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
367	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
368	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
369	C₄²×D₇₁	C₂³	1	1	yes	characteristic
370	C₄²×D₇₁	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	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
392	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
393	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
394	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
395	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
396	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
397	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
398	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
399	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
400	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
401	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
402	C₂²⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
403	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
404	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
405	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
406	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
407	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
408	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
409	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
410	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
411	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
412	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
413	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
414	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
415	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
416	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
417	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
418	(C₂×D₇₁)⋊C₈	C₂³	1	1	yes	characteristic
419	#14556039	C₂³	1	1	yes	characteristic
420	#14556039	C₂³	1	1	yes	characteristic
421	#14556038	C₂³	1	1	yes	characteristic
422	#14556038	C₂³	1	1	yes	characteristic
423	#14556038	C₂³	1	1	yes	characteristic
424	#14556038	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	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
436	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
437	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
438	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
439	C₂×#41×C₇₁	C₂³	1	1	yes	characteristic
440	C₂³×C₄×C₇₁	C₂³	1	1	yes	characteristic
441	#131×C₇₁	—	4	2	no	—
442	C₂×M₁₆×C₇₁	—	4	2	no	—
443	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
444	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
445	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
446	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
447	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
448	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
449	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
450	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
451	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
452	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
453	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
454	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
455	#123×C₇₁	C₂×C₄	1	1	yes	characteristic
456	#123×C₇₁	C₂×C₄	1	1	yes	characteristic
457	C₂²⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
458	C₂²⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
459	#121×C₇₁	C₂×C₄	1	1	yes	characteristic
460	#121×C₇₁	C₂×C₄	1	1	yes	characteristic
461	#120×C₇₁	C₂×C₄	1	1	yes	characteristic
462	#120×C₇₁	C₂×C₄	1	1	yes	characteristic
463	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
464	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
465	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
466	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
467	#117×C₇₁	C₂³	1	1	yes	characteristic
468	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
469	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
470	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
471	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
478	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
479	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
480	#97×C₇₁	C₂³	1	1	yes	characteristic
481	#97×C₇₁	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
484	C₂³×D₇₁	C₂²×C₄	1	1	yes	characteristic
485	#11765865	—	4	1	no	—
486	#11765865	—	4	1	no	—
487	#11765865	—	4	1	no	—
488	#11765865	—	4	1	no	—
489	#11765865	—	4	1	no	—
490	#11765865	—	4	1	no	—
491	#11765864	—	2	4	no	—
492	#11765864	—	2	4	no	—
493	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
494	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
495	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
496	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
497	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
498	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
499	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
500	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
501	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₇₁	—	2	4	no	—
504	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
514	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
522	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
523	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
524	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
525	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
526	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
527	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
528	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₇₁	—	4	1	no	—
530	C₂×C₄×D₇₁	—	4	1	no	—
531	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
539	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
540	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
541	#11765849	—	4	1	no	—
542	#11765849	—	4	1	no	—
543	#11765848	—	2	2	no	—
544	#11765848	—	2	2	no	—
545	#11765848	—	2	2	no	—
546	#11765848	—	4	1	no	—
547	#11765848	—	4	1	no	—
548	#11765848	—	4	1	no	—
549	#11765848	—	4	1	no	—
550	#11765848	—	4	1	no	—
551	C₂×C₇₁⋊C₈	—	4	1	no	—
552	C₂×C₇₁⋊C₈	—	4	1	no	—
553	C₂×C₇₁⋊C₈	—	4	1	no	—
554	C₂×C₇₁⋊C₈	—	4	1	no	—
555	C₂×C₇₁⋊C₈	—	4	1	no	—
556	C₂×C₇₁⋊C₈	—	4	1	no	—
557	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
558	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
559	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
560	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
561	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
562	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
563	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
565	C₈×D₇₁	—	2	2	no	—
566	C₈×D₇₁	—	4	1	no	—
567	C₈×D₇₁	—	4	1	no	—
568	C₈×D₇₁	—	4	1	no	—
569	C₈×D₇₁	—	4	1	no	—
570	C₈×D₇₁	—	4	1	no	—
571	C₈×D₇₁	—	4	1	no	—
572	C₈×D₇₁	—	4	1	no	—
573	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
574	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
575	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
576	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
577	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
578	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
579	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	Dic₇₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
600	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
601	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
602	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
603	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
604	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
605	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
606	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
607	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
608	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
609	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
610	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
611	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
612	C₂²⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
634	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
635	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
636	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
637	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
638	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
639	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
640	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
641	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
642	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
643	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
644	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
645	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
646	C₄×Dic₇₁	C₂⁴	1	1	yes	characteristic
647	C₂⁴×C₇₁	C₂²×C₄	1	1	yes	characteristic
648	#41×C₇₁	—	4	1	no	—
649	#41×C₇₁	—	4	1	no	—
650	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
651	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
652	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
653	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
654	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
655	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
656	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
657	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
658	C₂²×C₄×C₇₁	—	4	1	no	—
659	C₂²×C₄×C₇₁	—	4	1	no	—
660	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
661	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
662	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
663	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
664	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
665	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
666	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
667	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
668	M₁₆×C₇₁	—	2	2	no	—
669	M₁₆×C₇₁	—	2	2	no	—
670	M₁₆×C₇₁	—	2	2	no	—
671	M₁₆×C₇₁	—	4	1	no	—
672	M₁₆×C₇₁	—	4	1	no	—
673	M₁₆×C₇₁	—	4	1	no	—
674	C₂×C₈×C₇₁	—	2	2	no	—
675	C₂×C₈×C₇₁	—	2	2	no	—
676	C₂×C₈×C₇₁	—	4	1	no	—
677	C₂×C₈×C₇₁	—	4	1	no	—
678	C₂×C₈×C₇₁	—	4	1	no	—
679	C₂×C₈×C₇₁	—	4	1	no	—
680	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
681	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
682	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
683	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
684	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
685	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
686	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
687	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
688	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
689	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
690	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
691	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
692	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
693	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
694	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
699	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
700	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
701	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
702	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
703	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
704	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
705	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
706	C₂³×C₇₁	—	2	2	no	—
707	C₂³×C₇₁	—	4	1	no	—
708	C₂³×C₇₁	—	4	1	no	—
709	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
710	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
711	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
712	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
713	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
714	C₂²×D₇₁	—	2	2	no	—
715	C₂²×D₇₁	—	4	1	no	—
716	C₂²×D₇₁	—	4	1	no	—
717	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
718	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
719	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
720	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
721	Q₈×C₇₁	—	4	1	no	—
722	D₄×C₇₁	—	2	2	no	—
723	D₄×C₇₁	—	2	2	no	—
724	D₄×C₇₁	—	4	1	no	—
725	D₄×C₇₁	—	4	1	no	—
726	D₄×C₇₁	—	4	1	no	—
727	D₄×C₇₁	—	4	1	no	—
728	D₄×C₇₁	—	4	1	no	—
729	C₂×C₄×C₇₁	—	2	1	no	—
730	C₂×C₄×C₇₁	—	2	1	no	—
731	C₂×C₄×C₇₁	—	2	1	no	—
732	C₂×C₄×C₇₁	—	2	1	no	—
733	C₂×C₄×C₇₁	—	2	1	no	—
734	C₂×C₄×C₇₁	—	2	1	no	—
735	C₂×C₄×C₇₁	—	2	1	no	—
736	C₂×C₄×C₇₁	—	2	1	no	—
737	C₂×C₄×C₇₁	—	2	1	no	—
738	C₂×C₄×C₇₁	—	2	1	no	—
739	C₂×C₄×C₇₁	—	4	1	no	—
740	C₂×C₄×C₇₁	—	4	1	no	—
741	C₂×C₄×C₇₁	—	4	1	no	—
742	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
743	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
744	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
745	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
746	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
747	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
748	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
749	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
750	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
751	C₂×C₄×C₇₁	C₂⁵	1	1	yes	characteristic
752	C₂²⋊D₇₁	—	2	2	no	—
753	C₂²⋊D₇₁	—	2	2	no	—
754	C₂²⋊D₇₁	—	2	2	no	—
755	C₂²⋊D₇₁	—	2	2	no	—
756	C₂²⋊D₇₁	—	2	2	no	—
757	C₂²⋊D₇₁	—	2	2	no	—
758	C₂²⋊D₇₁	—	2	2	no	—
759	C₂²⋊D₇₁	—	2	2	no	—
760	C₂²⋊D₇₁	—	4	1	no	—
761	C₂²⋊D₇₁	—	4	1	no	—
762	C₂²⋊D₇₁	—	4	1	no	—
763	C₂²⋊D₇₁	—	4	1	no	—
764	C₂²⋊D₇₁	—	4	1	no	—
765	C₂²⋊D₇₁	—	4	1	no	—
766	C₂²⋊D₇₁	—	4	1	no	—
767	C₂²⋊D₇₁	—	4	1	no	—
768	C₂²⋊D₇₁	—	4	1	no	—
769	C₂²⋊D₇₁	—	4	1	no	—
770	C₂×Dic₇₁	—	2	2	no	—
771	C₂×Dic₇₁	—	2	2	no	—
772	C₂×Dic₇₁	—	4	1	no	—
773	C₂×Dic₇₁	—	4	1	no	—
774	C₂×Dic₇₁	—	4	1	no	—
775	C₂×Dic₇₁	—	4	1	no	—
776	C₂×Dic₇₁	#131	1	4	yes	complemented
777	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
778	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
779	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
780	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
781	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
782	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
783	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
784	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
785	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
786	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
787	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
788	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
789	D₂₈₄	—	4	1	no	—
790	D₂₈₄	—	4	1	no	—
791	D₂₈₄	—	4	1	no	—
792	D₂₈₄	—	4	1	no	—
793	D₂₈₄	—	4	1	no	—
794	C₄×D₇₁	—	2	1	no	—
795	C₄×D₇₁	—	2	1	no	—
796	C₄×D₇₁	—	2	1	no	—
797	C₄×D₇₁	—	2	1	no	—
798	C₄×D₇₁	—	2	1	no	—
799	C₄×D₇₁	—	2	1	no	—
800	C₄×D₇₁	—	2	1	no	—
801	C₄×D₇₁	—	2	1	no	—
802	C₄×D₇₁	—	2	2	no	—
803	C₄×D₇₁	—	2	2	no	—
804	C₄×D₇₁	—	4	1	no	—
805	C₄×D₇₁	—	4	1	no	—
806	C₄×D₇₁	—	4	1	no	—
807	C₄×D₇₁	—	4	1	no	—
808	Dic₁₄₂	—	2	2	no	—
809	Dic₁₄₂	—	2	2	no	—
810	Dic₁₄₂	—	4	1	no	—
811	Dic₁₄₂	—	4	1	no	—
812	Dic₁₄₂	—	4	1	no	—
813	C₈×C₇₁	—	2	1	no	—
814	C₈×C₇₁	—	2	1	no	—
815	C₈×C₇₁	—	2	1	no	—
816	C₈×C₇₁	—	2	1	no	—
817	C₈×C₇₁	—	2	1	no	—
818	C₈×C₇₁	—	2	1	no	—
819	C₈×C₇₁	—	2	1	no	—
820	C₈×C₇₁	H(5,𝔽₂)	1	2	yes	—
821	C₇₁⋊C₈	—	2	1	no	—
822	C₇₁⋊C₈	—	2	1	no	—
823	C₇₁⋊C₈	—	2	1	no	—
824	C₇₁⋊C₈	—	2	1	no	—
825	C₇₁⋊C₈	—	2	1	no	—
826	C₇₁⋊C₈	—	2	1	no	—
827	C₇₁⋊C₈	—	2	1	no	—
828	C₇₁⋊C₈	—	2	1	no	—
829	C₂²×C₇₁	—	2	1	no	—
830	C₂²×C₇₁	—	2	1	no	—
831	C₂²×C₇₁	—	2	1	no	—
832	C₂²×C₇₁	—	2	1	no	—
833	C₂²×C₇₁	—	2	1	no	—
834	C₂²×C₇₁	—	2	1	no	—
835	C₂²×C₇₁	—	2	1	no	—
836	C₂²×C₇₁	—	2	1	no	—
837	C₂²×C₇₁	—	2	1	no	—
838	C₂²×C₇₁	—	2	1	no	—
839	C₂²×C₇₁	—	2	1	no	—
840	C₂²×C₇₁	—	2	1	no	—
841	C₂²×C₇₁	—	2	1	no	—
842	C₂²×C₇₁	—	2	1	no	—
843	C₂²×C₇₁	—	8	2	no	—
844	C₂²×C₇₁	C₂×#131	1	2	yes	—
845	C₂²×C₇₁	C₂⁴×C₄	1	1	yes	characteristic
846	C₂×D₇₁	—	2	1	no	—
847	C₂×D₇₁	—	2	1	no	—
848	C₂×D₇₁	—	2	1	no	—
849	C₂×D₇₁	—	2	1	no	—
850	C₂×D₇₁	—	2	1	no	—
851	C₂×D₇₁	—	2	1	no	—
852	C₂×D₇₁	—	2	1	no	—
853	C₂×D₇₁	—	2	1	no	—
854	C₂×D₇₁	—	2	1	no	—
855	C₂×D₇₁	—	2	1	no	—
856	C₂×D₇₁	—	2	1	no	—
857	C₂×D₇₁	—	2	1	no	—
858	C₂×D₇₁	—	8	2	no	—
859	C₄×C₇₁	—	2	1	no	—
860	C₄×C₇₁	—	2	1	no	—
861	C₄×C₇₁	—	2	1	no	—
862	C₄×C₇₁	—	2	1	no	—
863	C₄×C₇₁	—	2	1	no	—
864	C₄×C₇₁	—	2	1	no	—
865	C₄×C₇₁	—	2	1	no	—
866	C₄×C₇₁	—	2	1	no	—
867	C₄×C₇₁	—	2	1	no	—
868	C₄×C₇₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
869	C₄×C₇₁	#585	1	1	yes	characteristic
870	Dic₇₁	—	2	1	no	—
871	Dic₇₁	—	2	1	no	—
872	Dic₇₁	—	2	1	no	—
873	Dic₇₁	—	2	1	no	—
874	Dic₇₁	—	2	1	no	—
875	Dic₇₁	—	2	1	no	—
876	Dic₇₁	—	2	1	no	—
877	Dic₇₁	—	2	1	no	—
878	Dic₇₁	—	2	1	no	—
879	Dic₇₁	—	2	1	no	—
880	Dic₇₁	C₂×#131	1	2	yes	—
881	Dic₇₁	C₂×#131	1	2	yes	—
882	#60321	—	71	1	no	maximal, Sylow
883	C₂×C₇₁	—	2	2	no	—
884	C₂×C₇₁	—	4	1	no	—
885	C₂×C₇₁	—	4	1	no	—
886	C₂×C₇₁	—	4	1	no	—
887	C₂×C₇₁	—	4	1	no	—
888	C₂×C₇₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
889	C₂×C₇₁	C₂²×#131	1	1	yes	characteristic
890	C₂×C₇₁	#3573	1	1	yes	characteristic
891	D₇₁	—	4	1	no	—
892	D₇₁	—	4	1	no	—
893	D₇₁	—	4	1	no	—
894	D₇₁	—	4	1	no	—
895	#3460	—	71	1	no	—
896	#2994	—	71	1	no	—
897	#2994	—	71	1	no	—
898	#2993	—	71	1	no	—
899	#2993	—	71	1	no	—
900	#2989	—	71	1	no	—
901	#2988	—	71	1	no	—
902	#2981	—	71	1	no	—
903	#2981	—	71	1	no	—
904	#2979	—	71	1	no	—
905	#2979	—	71	1	no	—
906	#2977	—	71	1	no	—
907	#2977	—	71	1	no	—
908	#2977	—	71	1	no	—
909	#2977	—	71	1	no	—
910	#2972	—	71	1	no	—
911	#2969	—	71	1	no	—
912	#2969	—	71	1	no	—
913	#2966	—	71	1	no	—
914	#2966	—	71	1	no	—
915	#2965	—	71	1	no	—
916	C₈×#41	—	71	1	no	—
917	#2935	—	71	1	no	—
918	#2935	—	71	1	no	—
919	#2933	—	71	1	no	—
920	#2933	—	71	1	no	—
921	#2933	—	71	1	no	—
922	#2933	D₇₁	1	1	yes	characteristic, complemented
923	#2931	—	71	1	no	—
924	#2931	—	71	1	no	—
925	C₂×#436	—	71	1	no	—
926	C₇₁	#60321	1	1	yes	characteristic, complemented, Sylow
927	C₂×#131	—	71	1	no	—
928	C₂×#131	—	71	1	no	—
929	C₂×#131	—	71	1	no	—
930	C₂×#131	C₂×D₇₁	1	1	yes	characteristic, complemented
931	C₂²×M₁₆	—	71	1	no	—
932	C₂²×M₁₆	C₂×D₇₁	1	1	yes	characteristic
933	#544	—	71	1	no	—
934	#542	—	71	1	no	—
935	#542	—	71	1	no	—
936	#542	—	71	1	no	—
937	#542	—	71	1	no	—
938	#540	—	71	1	no	—
939	#540	—	71	1	no	—
940	#540	—	71	1	no	—
941	#540	—	71	1	no	—
942	#538	—	71	1	no	—
943	#538	—	71	1	no	—
944	#538	—	71	1	no	—
945	#538	—	71	1	no	—
946	#537	—	71	1	no	—
947	#535	—	71	1	no	—
948	#535	—	71	1	no	—
949	#532	—	71	1	no	—
950	#532	—	71	1	no	—
951	#532	—	71	1	no	—
952	#532	—	71	1	no	—
953	#529	—	71	1	no	—
954	#529	—	71	1	no	—
955	#529	—	71	1	no	—
956	#529	—	71	1	no	—
957	#525	—	71	1	no	—
958	#525	—	71	1	no	—
959	#525	—	71	1	no	—
960	#525	C₂×D₇₁	1	1	yes	characteristic
961	C₄×#41	—	71	1	no	—
962	C₄×#41	—	71	1	no	—
963	C₂×C₄×D₄	—	71	1	no	—
964	#446	—	71	1	no	—
965	#446	—	71	1	no	—
966	#446	—	71	1	no	—
967	#446	—	71	1	no	—
968	C₈×Q₈	—	71	1	no	—
969	C₈×Q₈	—	71	1	no	—
970	C₈×Q₈	—	71	1	no	—
971	C₈×Q₈	—	71	1	no	—
972	#436	—	71	1	no	—
973	#436	—	71	1	no	—
974	#436	—	71	1	no	—
975	#436	—	71	1	no	—
976	#436	—	71	1	no	—
977	#436	—	71	1	no	—
978	#436	—	71	1	no	—
979	#436	—	71	1	no	—
980	#436	—	71	1	no	—
981	#436	—	71	1	no	—
982	#436	—	71	1	no	—
983	#436	—	71	1	no	—
984	#436	—	71	1	no	—
985	#436	—	71	1	no	—
986	#436	—	71	1	no	—
987	#436	—	71	1	no	—
988	#436	—	71	1	no	—
989	#436	—	71	1	no	—
990	#436	C₂×D₇₁	1	1	yes	characteristic, complemented
991	#436	C₂×D₇₁	1	1	yes	characteristic, complemented
992	#435	—	71	1	no	—
993	#435	—	71	1	no	—
994	#435	—	71	1	no	—
995	#435	—	71	1	no	—
996	#435	—	71	1	no	—
997	#435	—	71	1	no	—
998	#435	—	71	1	no	—
999	#435	—	71	1	no	—
1000	#435	—	71	1	no	—
1001	#435	—	71	1	no	—
1002	#435	—	71	1	no	—
1003	#435	—	71	1	no	—
1004	#435	—	71	1	no	—
1005	#435	—	71	1	no	—
1006	#435	—	71	1	no	—
1007	#435	—	71	1	no	—
1008	#435	—	71	1	no	—
1009	#435	—	71	1	no	—
1010	#435	—	71	1	no	—
1011	#435	—	71	1	no	—
1012	#435	C₂×D₇₁	1	1	yes	characteristic
1013	#435	C₂×D₇₁	1	1	yes	characteristic
1014	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1015	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
1016	C₈×D₄	—	71	1	no	—
1017	C₈×D₄	—	71	1	no	—
1018	C₈×D₄	—	71	1	no	—
1019	C₈×D₄	—	71	1	no	—
1020	C₈×D₄	—	71	1	no	—
1021	C₈×D₄	—	71	1	no	—
1022	C₈×D₄	—	71	1	no	—
1023	C₈×D₄	—	71	1	no	—
1024	C₈×D₄	—	71	1	no	—
1025	C₈×D₄	—	71	1	no	—
1026	C₈×D₄	—	71	1	no	—
1027	C₈×D₄	—	71	1	no	—
1028	C₈×D₄	—	71	1	no	—
1029	C₈×D₄	—	71	1	no	—
1030	C₈×D₄	—	71	1	no	—
1031	C₈×D₄	—	71	1	no	—
1032	C₈×D₄	—	71	1	no	—
1033	C₈×D₄	—	71	1	no	—
1034	C₈×D₄	—	71	1	no	—
1035	C₈×D₄	—	71	1	no	—
1036	C₈×D₄	—	71	1	no	—
1037	C₈×D₄	—	71	1	no	—
1038	C₈×D₄	—	71	1	no	—
1039	C₈×D₄	—	71	1	no	—
1040	C₈×D₄	—	71	1	no	—
1041	C₈×D₄	—	71	1	no	—
1042	C₈×D₄	C₂×D₇₁	1	1	yes	characteristic
1043	C₈×D₄	C₂×D₇₁	1	1	yes	characteristic
1044	#433	—	71	1	no	—
1045	#433	—	71	1	no	—
1046	#433	—	71	1	no	—
1047	#433	—	71	1	no	—
1048	#433	—	71	1	no	—
1049	#433	—	71	1	no	—
1050	#433	—	71	1	no	—
1051	#433	—	71	1	no	—
1052	#432	—	71	1	no	—
1053	#432	—	71	1	no	—
1054	#431	—	71	1	no	—
1055	#431	—	71	1	no	—
1056	#431	—	71	1	no	—
1057	#431	—	71	1	no	—
1058	#431	—	71	1	no	—
1059	#431	—	71	1	no	—
1060	#431	—	71	1	no	—
1061	#431	—	71	1	no	—
1062	#424	—	71	1	no	—
1063	#424	—	71	1	no	—
1064	#424	—	71	1	no	—
1065	#424	C₂×D₇₁	1	1	yes	characteristic, complemented
1066	#423	—	71	1	no	—
1067	#423	—	71	1	no	—
1068	C₂×C₄⋊C₈	—	71	1	no	—
1069	C₂×C₄⋊C₈	—	71	1	no	—
1070	C₂×C₄⋊C₈	—	71	1	no	—
1071	#408	—	71	1	no	—
1072	#408	—	71	1	no	—
1073	#408	—	71	1	no	—
1074	#408	—	71	1	no	—
1075	#408	—	71	1	no	—
1076	#408	—	71	1	no	—
1077	#408	—	71	1	no	—
1078	#408	—	71	1	no	—
1079	#408	—	71	1	no	—
1080	#408	—	71	1	no	—
1081	#408	—	71	1	no	—
1082	#408	C₂×D₇₁	1	1	yes	characteristic, complemented
1083	C₂×C₂²⋊C₈	—	71	1	no	—
1084	C₂×C₂²⋊C₈	—	71	1	no	—
1085	C₂×C₂²⋊C₈	—	71	1	no	—
1086	C₂×C₂²⋊C₈	—	71	1	no	—
1087	C₂×C₂²⋊C₈	—	71	1	no	—
1088	C₂×C₂²⋊C₈	C₂×D₇₁	1	1	yes	characteristic
1089	#405	—	71	1	no	—
1090	#405	—	71	1	no	—
1091	#405	—	71	1	no	—
1092	#405	C₂×D₇₁	1	1	yes	characteristic, complemented
1093	C₄×M₁₆	—	71	1	no	—
1094	C₄×M₁₆	—	71	1	no	—
1095	C₂×C₄×C₈	—	71	1	no	—
1096	C₂×C₄×C₈	—	71	1	no	—
1097	C₂×C₄×C₈	—	71	1	no	—
1098	C₂×#41	—	71	1	no	—
1099	C₂×#41	—	71	1	no	—
1100	C₂×#41	—	71	1	no	—
1101	C₂×#41	—	71	1	no	—
1102	C₂×#41	—	71	1	no	—
1103	C₂×#41	C₂²×D₇₁	1	1	yes	characteristic
1104	C₂²×D₄	—	71	1	no	—
1105	C₂³×C₄	—	71	1	no	—
1106	C₂³×C₄	C₂²×D₇₁	1	1	yes	characteristic
1107	#131	—	4	2	no	—
1108	#131	—	284	2	no	—
1109	#131	—	284	2	no	—
1110	#131	—	284	2	no	—
1111	C₂×M₁₆	—	4	2	no	—
1112	C₂×M₁₆	—	284	2	no	—
1113	C₂×M₁₆	—	71	1	no	—
1114	C₂×M₁₆	—	71	1	no	—
1115	C₂×M₁₆	—	71	1	no	—
1116	C₂×M₁₆	—	71	1	no	—
1117	C₂×M₁₆	—	71	1	no	—
1118	C₂×M₁₆	—	71	1	no	—
1119	C₂×M₁₆	—	71	1	no	—
1120	C₂×M₁₆	—	71	1	no	—
1121	C₂×M₁₆	—	71	1	no	—
1122	C₂×M₁₆	—	71	1	no	—
1123	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1124	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1125	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1126	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1127	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1128	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1129	C₂²×C₈	—	71	1	no	—
1130	C₂²×C₈	—	71	1	no	—
1131	C₂²×C₈	—	71	1	no	—
1132	C₂²×C₈	—	71	1	no	—
1133	C₂²×C₈	—	71	1	no	—
1134	C₂²×C₈	—	71	1	no	—
1135	C₂²×C₈	—	71	1	no	—
1136	C₂²×C₈	—	71	1	no	—
1137	C₂²×C₈	—	71	1	no	—
1138	C₂²×C₈	—	71	1	no	—
1139	C₂²×C₈	—	71	1	no	—
1140	C₂²×C₈	—	71	1	no	—
1141	C₂²×C₈	—	71	1	no	—
1142	C₂²×C₈	—	71	1	no	—
1143	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1144	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1145	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1146	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1147	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1148	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1149	C₄⋊Q₈	—	71	1	no	—
1150	C₄⋊Q₈	—	71	1	no	—
1151	C₄⋊Q₈	—	71	1	no	—
1152	C₄⋊Q₈	—	71	1	no	—
1153	#127	—	71	1	no	—
1154	#127	—	71	1	no	—
1155	#127	—	71	1	no	—
1156	#127	—	71	1	no	—
1157	#126	—	71	1	no	—
1158	#126	—	71	1	no	—
1159	#126	—	71	1	no	—
1160	#126	—	71	1	no	—
1161	#126	—	71	1	no	—
1162	#126	—	71	1	no	—
1163	#126	—	71	1	no	—
1164	#126	—	71	1	no	—
1165	#125	—	71	1	no	—
1166	#125	—	71	1	no	—
1167	#125	—	71	1	no	—
1168	#125	—	71	1	no	—
1169	#124	—	71	1	no	—
1170	#124	—	71	1	no	—
1171	#124	—	71	1	no	—
1172	#124	—	71	1	no	—
1173	#124	—	71	1	no	—
1174	#124	—	71	1	no	—
1175	#124	—	71	1	no	—
1176	#124	—	71	1	no	—
1177	#124	—	71	1	no	—
1178	#124	—	71	1	no	—
1179	#124	—	71	1	no	—
1180	#124	—	71	1	no	—
1181	#123	—	71	1	no	—
1182	#123	—	71	1	no	—
1183	#123	—	71	1	no	—
1184	#123	—	71	1	no	—
1185	#123	—	71	1	no	—
1186	#123	—	71	1	no	—
1187	#123	—	71	1	no	—
1188	#123	—	71	1	no	—
1189	#123	—	71	1	no	—
1190	#123	—	71	1	no	—
1191	#123	—	71	1	no	—
1192	#123	—	71	1	no	—
1193	#123	—	71	1	no	—
1194	#123	—	71	1	no	—
1195	#123	C₄×D₇₁	1	1	yes	characteristic
1196	#123	C₄×D₇₁	1	1	yes	characteristic
1197	C₂²⋊Q₈	—	71	1	no	—
1198	C₂²⋊Q₈	—	71	1	no	—
1199	C₂²⋊Q₈	—	71	1	no	—
1200	C₂²⋊Q₈	—	71	1	no	—
1201	C₂²⋊Q₈	—	71	1	no	—
1202	C₂²⋊Q₈	—	71	1	no	—
1203	C₂²⋊Q₈	—	71	1	no	—
1204	C₂²⋊Q₈	—	71	1	no	—
1205	C₂²⋊Q₈	—	71	1	no	—
1206	C₂²⋊Q₈	—	71	1	no	—
1207	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1208	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1209	#121	—	71	1	no	—
1210	#121	—	71	1	no	—
1211	#121	—	71	1	no	—
1212	#121	—	71	1	no	—
1213	#121	—	71	1	no	—
1214	#121	—	71	1	no	—
1215	#121	—	71	1	no	—
1216	#121	—	71	1	no	—
1217	#121	—	71	1	no	—
1218	#121	—	71	1	no	—
1219	#121	—	71	1	no	—
1220	#121	—	71	1	no	—
1221	#121	—	71	1	no	—
1222	#121	—	71	1	no	—
1223	#121	—	71	1	no	—
1224	#121	—	71	1	no	—
1225	#121	—	71	1	no	—
1226	#121	—	71	1	no	—
1227	#121	—	71	1	no	—
1228	#121	—	71	1	no	—
1229	#121	—	71	1	no	—
1230	#121	—	71	1	no	—
1231	#121	—	71	1	no	—
1232	#121	—	71	1	no	—
1233	#121	—	71	1	no	—
1234	#121	—	71	1	no	—
1235	#121	C₄×D₇₁	1	1	yes	characteristic
1236	#121	C₄×D₇₁	1	1	yes	characteristic
1237	#120	—	71	1	no	—
1238	#120	—	71	1	no	—
1239	#120	—	71	1	no	—
1240	#120	—	71	1	no	—
1241	#120	—	71	1	no	—
1242	#120	—	71	1	no	—
1243	#120	C₄×D₇₁	1	1	yes	characteristic
1244	#120	C₄×D₇₁	1	1	yes	characteristic
1245	C₄×Q₈	—	71	1	no	—
1246	C₄×Q₈	—	71	1	no	—
1247	C₄×Q₈	—	71	1	no	—
1248	C₄×Q₈	—	71	1	no	—
1249	C₄×D₄	—	71	1	no	—
1250	C₄×D₄	—	71	1	no	—
1251	C₄×D₄	—	71	1	no	—
1252	C₄×D₄	—	71	1	no	—
1253	C₄×D₄	—	71	1	no	—
1254	C₄×D₄	—	71	1	no	—
1255	C₄×D₄	—	71	1	no	—
1256	C₄×D₄	—	71	1	no	—
1257	C₄×D₄	—	71	1	no	—
1258	C₄×D₄	—	71	1	no	—
1259	C₄×D₄	—	71	1	no	—
1260	C₄×D₄	—	71	1	no	—
1261	C₄×D₄	—	71	1	no	—
1262	C₄×D₄	—	71	1	no	—
1263	C₄×D₄	—	71	1	no	—
1264	C₄×D₄	—	71	1	no	—
1265	C₄×D₄	—	71	1	no	—
1266	C₄×D₄	—	71	1	no	—
1267	C₄×D₄	—	71	1	no	—
1268	C₄×D₄	—	71	1	no	—
1269	C₄×D₄	—	71	1	no	—
1270	C₄×D₄	—	71	1	no	—
1271	C₄×D₄	—	71	1	no	—
1272	C₄×D₄	—	71	1	no	—
1273	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1274	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1275	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1277	#117	—	71	1	no	—
1278	#117	—	71	1	no	—
1279	#117	—	71	1	no	—
1280	#117	—	71	1	no	—
1281	#117	—	71	1	no	—
1282	#117	—	71	1	no	—
1283	#117	—	71	1	no	—
1284	#117	—	71	1	no	—
1285	#117	—	71	1	no	—
1286	#117	C₂²×D₇₁	1	1	yes	characteristic
1287	C₂×C₄⋊C₄	—	71	1	no	—
1288	C₂×C₂²⋊C₄	—	71	1	no	—
1289	C₂×C₂²⋊C₄	—	71	1	no	—
1290	C₂×C₄²	—	71	1	no	—
1291	C₂×C₄²	—	71	1	no	—
1292	C₂×C₄²	—	71	1	no	—
1293	C₂×C₄²	—	71	1	no	—
1294	C₂×C₄²	—	71	1	no	—
1295	C₄⋊C₈	—	71	1	no	—
1296	C₄⋊C₈	—	71	1	no	—
1297	C₄⋊C₈	—	71	1	no	—
1298	C₄⋊C₈	—	71	1	no	—
1299	C₄⋊C₈	—	71	1	no	—
1300	C₄⋊C₈	—	71	1	no	—
1301	C₄⋊C₈	—	71	1	no	—
1302	C₄⋊C₈	—	71	1	no	—
1303	C₄⋊C₈	—	71	1	no	—
1304	C₄⋊C₈	—	71	1	no	—
1305	C₄⋊C₈	—	71	1	no	—
1306	C₄⋊C₈	—	71	1	no	—
1307	C₄⋊C₈	—	71	1	no	—
1308	C₄⋊C₈	—	71	1	no	—
1309	C₄⋊C₈	—	71	1	no	—
1310	C₄⋊C₈	—	71	1	no	—
1311	C₄⋊C₈	—	71	1	no	—
1312	C₄⋊C₈	—	71	1	no	—
1313	C₄⋊C₈	—	71	1	no	—
1314	C₄⋊C₈	—	71	1	no	—
1315	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1316	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1317	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1318	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1319	C₂²⋊C₈	—	71	1	no	—
1320	C₂²⋊C₈	—	71	1	no	—
1321	C₂²⋊C₈	—	71	1	no	—
1322	C₂²⋊C₈	—	71	1	no	—
1323	C₂²⋊C₈	—	71	1	no	—
1324	C₂²⋊C₈	—	71	1	no	—
1325	C₂²⋊C₈	—	71	1	no	—
1326	C₂²⋊C₈	—	71	1	no	—
1327	C₂²⋊C₈	—	71	1	no	—
1328	C₂²⋊C₈	—	71	1	no	—
1329	C₂²⋊C₈	—	71	1	no	—
1330	C₂²⋊C₈	—	71	1	no	—
1331	C₂²⋊C₈	—	71	1	no	—
1332	C₂²⋊C₈	—	71	1	no	—
1333	C₂²⋊C₈	—	71	1	no	—
1334	C₂²⋊C₈	—	71	1	no	—
1335	C₂²⋊C₈	—	71	1	no	—
1336	C₂²⋊C₈	—	71	1	no	—
1337	C₂²⋊C₈	—	71	1	no	—
1338	C₂²⋊C₈	—	71	1	no	—
1339	C₂²⋊C₈	—	71	1	no	—
1340	C₂²⋊C₈	—	71	1	no	—
1341	C₂²⋊C₈	—	71	1	no	—
1342	C₂²⋊C₈	—	71	1	no	—
1343	C₂²⋊C₈	—	71	1	no	—
1344	C₂²⋊C₈	—	71	1	no	—
1345	C₂²⋊C₈	—	71	1	no	—
1346	C₂²⋊C₈	—	71	1	no	—
1347	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1348	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1349	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1350	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1351	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1352	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1353	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1354	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1355	#97	—	71	1	no	—
1356	#97	—	71	1	no	—
1357	#97	—	71	1	no	—
1358	#97	—	71	1	no	—
1359	#97	—	71	1	no	—
1360	#97	—	71	1	no	—
1361	#97	C₂²×D₇₁	1	1	yes	characteristic
1362	#97	C₂²×D₇₁	1	1	yes	characteristic
1363	C₄×C₈	—	71	1	no	—
1364	C₄×C₈	—	71	1	no	—
1365	C₄×C₈	—	71	1	no	—
1366	C₄×C₈	—	71	1	no	—
1367	C₄×C₈	—	71	1	no	—
1368	C₄×C₈	—	71	1	no	—
1369	C₄×C₈	—	71	1	no	—
1370	C₄×C₈	—	71	1	no	—
1371	C₄×C₈	—	71	1	no	—
1372	C₄×C₈	—	71	1	no	—
1373	C₄×C₈	—	71	1	no	—
1374	C₄×C₈	—	71	1	no	—
1375	C₄×C₈	—	71	1	no	—
1376	C₄×C₈	—	71	1	no	—
1377	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1378	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1379	C₂⁴	—	71	1	no	—
1380	C₂⁴	C₂×C₄×D₇₁	1	1	yes	characteristic
1381	#41	—	4	1	no	—
1382	#41	—	4	1	no	—
1383	#41	—	284	1	no	—
1384	#41	—	284	1	no	—
1385	#41	—	284	1	no	—
1386	#41	—	284	1	no	—
1387	#41	—	284	1	no	—
1388	#41	—	284	1	no	—
1389	#41	—	142	4	no	—
1390	#41	—	142	4	no	—
1391	C₂×Q₈	—	71	1	no	—
1392	C₂×Q₈	—	71	1	no	—
1393	C₂×Q₈	—	71	1	no	—
1394	C₂×Q₈	—	71	1	no	—
1395	C₂×Q₈	—	71	1	no	—
1396	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1397	C₂×D₄	—	71	1	no	—
1398	C₂×D₄	—	71	1	no	—
1399	C₂×D₄	—	71	1	no	—
1400	C₂×D₄	—	71	1	no	—
1401	C₂×D₄	—	71	1	no	—
1402	C₂×D₄	—	71	1	no	—
1403	C₂×D₄	—	71	1	no	—
1404	C₂×D₄	—	71	1	no	—
1405	C₂×D₄	—	71	1	no	—
1406	C₂×D₄	—	71	1	no	—
1407	C₂×D₄	—	71	1	no	—
1408	C₂×D₄	—	71	1	no	—
1409	C₂×D₄	—	71	1	no	—
1410	C₂×D₄	—	71	1	no	—
1411	C₂×D₄	—	71	1	no	—
1412	C₂×D₄	—	71	1	no	—
1413	C₂×D₄	—	71	1	no	—
1414	C₂×D₄	—	71	1	no	—
1415	C₂×D₄	—	71	1	no	—
1416	C₂×D₄	—	71	1	no	—
1417	C₂×D₄	—	71	1	no	—
1418	C₂×D₄	—	71	1	no	—
1419	C₂×D₄	—	71	1	no	—
1420	C₂×D₄	—	142	4	no	—
1421	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1422	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1423	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1424	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1425	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1426	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1427	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1428	C₂²×C₄	—	4	1	no	—
1429	C₂²×C₄	—	4	1	no	—
1430	C₂²×C₄	—	284	1	no	—
1431	C₂²×C₄	—	284	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	C₂×C₄×D₇₁	1	1	yes	characteristic
1450	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1451	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1452	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1453	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1454	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1455	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1456	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1457	M₁₆	—	2	2	no	—
1458	M₁₆	—	2	2	no	—
1459	M₁₆	—	2	2	no	—
1460	M₁₆	—	4	1	no	—
1461	M₁₆	—	4	1	no	—
1462	M₁₆	—	4	1	no	—
1463	M₁₆	—	284	1	no	—
1464	M₁₆	—	284	1	no	—
1465	M₁₆	—	284	1	no	—
1466	M₁₆	—	284	1	no	—
1467	M₁₆	—	284	1	no	—
1468	M₁₆	—	284	1	no	—
1469	M₁₆	—	284	1	no	—
1470	M₁₆	—	142	2	no	—
1471	M₁₆	—	142	2	no	—
1472	M₁₆	—	142	2	no	—
1473	C₂×C₈	—	2	2	no	—
1474	C₂×C₈	—	2	2	no	—
1475	C₂×C₈	—	4	1	no	—
1476	C₂×C₈	—	4	1	no	—
1477	C₂×C₈	—	4	1	no	—
1478	C₂×C₈	—	4	1	no	—
1479	C₂×C₈	—	284	1	no	—
1480	C₂×C₈	—	284	1	no	—
1481	C₂×C₈	—	284	1	no	—
1482	C₂×C₈	—	284	1	no	—
1483	C₂×C₈	—	284	1	no	—
1484	C₂×C₈	—	284	1	no	—
1485	C₂×C₈	—	284	1	no	—
1486	C₂×C₈	—	284	1	no	—
1487	C₂×C₈	—	284	1	no	—
1488	C₂×C₈	—	284	1	no	—
1489	C₂×C₈	—	284	1	no	—
1490	C₂×C₈	—	284	1	no	—
1491	C₂×C₈	—	284	1	no	—
1492	C₂×C₈	—	71	1	no	—
1493	C₂×C₈	—	71	1	no	—
1494	C₂×C₈	—	71	1	no	—
1495	C₂×C₈	—	71	1	no	—
1496	C₂×C₈	—	71	1	no	—
1497	C₂×C₈	—	71	1	no	—
1498	C₂×C₈	—	71	1	no	—
1499	C₂×C₈	—	71	1	no	—
1500	C₂×C₈	—	142	2	no	—
1501	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1502	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1503	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1504	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1505	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1506	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1508	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1509	C₄⋊C₄	—	71	1	no	—
1510	C₄⋊C₄	—	71	1	no	—
1511	C₄⋊C₄	—	71	1	no	—
1512	C₄⋊C₄	—	71	1	no	—
1513	C₄⋊C₄	—	71	1	no	—
1514	C₄⋊C₄	—	71	1	no	—
1515	C₄⋊C₄	—	71	1	no	—
1516	C₄⋊C₄	—	71	1	no	—
1517	C₄⋊C₄	—	71	1	no	—
1518	C₄⋊C₄	—	71	1	no	—
1519	C₄⋊C₄	—	71	1	no	—
1520	C₄⋊C₄	—	71	1	no	—
1521	C₄⋊C₄	—	71	1	no	—
1522	C₄⋊C₄	—	71	1	no	—
1523	C₄⋊C₄	—	71	1	no	—
1524	C₄⋊C₄	—	71	1	no	—
1525	C₄⋊C₄	—	71	1	no	—
1526	C₄⋊C₄	—	71	1	no	—
1527	C₄⋊C₄	—	71	1	no	—
1528	C₄⋊C₄	—	71	1	no	—
1529	C₄⋊C₄	—	71	1	no	—
1530	C₄⋊C₄	—	71	1	no	—
1531	C₄⋊C₄	—	71	1	no	—
1532	C₄⋊C₄	—	71	1	no	—
1533	C₄⋊C₄	—	71	1	no	—
1534	C₄⋊C₄	—	71	1	no	—
1535	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1536	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1537	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1538	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1539	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1540	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1541	C₂²⋊C₄	—	71	1	no	—
1542	C₂²⋊C₄	—	71	1	no	—
1543	C₂²⋊C₄	—	71	1	no	—
1544	C₂²⋊C₄	—	71	1	no	—
1545	C₂²⋊C₄	—	71	1	no	—
1546	C₂²⋊C₄	—	71	1	no	—
1547	C₂²⋊C₄	—	71	1	no	—
1548	C₂²⋊C₄	—	71	1	no	—
1549	C₂²⋊C₄	—	71	1	no	—
1550	C₂²⋊C₄	—	71	1	no	—
1551	C₂²⋊C₄	—	71	1	no	—
1552	C₂²⋊C₄	—	71	1	no	—
1553	C₂²⋊C₄	—	71	1	no	—
1554	C₂²⋊C₄	—	71	1	no	—
1555	C₂²⋊C₄	—	71	1	no	—
1556	C₂²⋊C₄	—	71	1	no	—
1557	C₂²⋊C₄	—	71	1	no	—
1558	C₂²⋊C₄	—	71	1	no	—
1559	C₂²⋊C₄	—	71	1	no	—
1560	C₂²⋊C₄	—	71	1	no	—
1561	C₂²⋊C₄	—	71	1	no	—
1562	C₂²⋊C₄	—	71	1	no	—
1563	C₂²⋊C₄	—	71	1	no	—
1564	C₂²⋊C₄	—	71	1	no	—
1565	C₂²⋊C₄	—	71	1	no	—
1566	C₂²⋊C₄	—	71	1	no	—
1567	C₂²⋊C₄	—	71	1	no	—
1568	C₂²⋊C₄	—	71	1	no	—
1569	C₂²⋊C₄	—	71	1	no	—
1570	C₂²⋊C₄	—	71	1	no	—
1571	C₂²⋊C₄	—	71	1	no	—
1572	C₂²⋊C₄	—	71	1	no	—
1573	C₂²⋊C₄	—	71	1	no	—
1574	C₂²⋊C₄	—	71	1	no	—
1575	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1576	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1579	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1583	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1584	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1585	C₄²	—	71	1	no	—
1586	C₄²	—	71	1	no	—
1587	C₄²	—	71	1	no	—
1588	C₄²	—	71	1	no	—
1589	C₄²	—	71	1	no	—
1590	C₄²	—	71	1	no	—
1591	C₄²	—	71	1	no	—
1592	C₄²	—	71	1	no	—
1593	C₄²	—	71	1	no	—
1594	C₄²	—	71	1	no	—
1595	C₄²	—	71	1	no	—
1596	C₄²	—	71	1	no	—
1597	C₄²	—	71	1	no	—
1598	C₄²	—	71	1	no	—
1599	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1600	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1601	C₂³	—	2	2	no	—
1602	C₂³	—	4	1	no	—
1603	C₂³	—	4	1	no	—
1604	C₂³	—	284	1	no	—
1605	C₂³	—	284	1	no	—
1606	C₂³	—	71	1	no	—
1607	C₂³	—	71	1	no	—
1608	C₂³	—	71	1	no	—
1609	C₂³	—	71	1	no	—
1610	C₂³	—	142	2	no	—
1611	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1612	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1613	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1614	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1615	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1616	Q₈	—	4	1	no	—
1617	Q₈	—	284	1	no	—
1618	Q₈	—	284	1	no	—
1619	Q₈	—	284	1	no	—
1620	Q₈	—	142	2	no	—
1621	Q₈	—	142	2	no	—
1622	D₄	—	2	2	no	—
1623	D₄	—	2	2	no	—
1624	D₄	—	4	1	no	—
1625	D₄	—	4	1	no	—
1626	D₄	—	4	1	no	—
1627	D₄	—	4	1	no	—
1628	D₄	—	4	1	no	—
1629	D₄	—	284	1	no	—
1630	D₄	—	284	1	no	—
1631	D₄	—	284	1	no	—
1632	D₄	—	284	1	no	—
1633	D₄	—	284	1	no	—
1634	D₄	—	284	1	no	—
1635	D₄	—	284	1	no	—
1636	D₄	—	284	1	no	—
1637	D₄	—	284	1	no	—
1638	D₄	—	284	1	no	—
1639	D₄	—	284	1	no	—
1640	D₄	—	284	1	no	—
1641	D₄	—	284	1	no	—
1642	D₄	—	284	1	no	—
1643	D₄	—	284	1	no	—
1644	D₄	—	142	2	no	—
1645	D₄	—	142	2	no	—
1646	D₄	—	142	2	no	—
1647	D₄	—	142	2	no	—
1648	D₄	—	142	2	no	—
1649	D₄	—	142	2	no	—
1650	D₄	—	142	2	no	—
1651	D₄	—	142	2	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	4	1	no	—
1663	C₂×C₄	—	4	1	no	—
1664	C₂×C₄	—	4	1	no	—
1665	C₂×C₄	—	284	1	no	—
1666	C₂×C₄	—	284	1	no	—
1667	C₂×C₄	—	284	1	no	—
1668	C₂×C₄	—	284	1	no	—
1669	C₂×C₄	—	284	1	no	—
1670	C₂×C₄	—	284	1	no	—
1671	C₂×C₄	—	284	1	no	—
1672	C₂×C₄	—	284	1	no	—
1673	C₂×C₄	—	71	1	no	—
1674	C₂×C₄	—	71	1	no	—
1675	C₂×C₄	—	71	4	no	—
1676	C₂×C₄	—	71	1	no	—
1677	C₂×C₄	—	71	1	no	—
1678	C₂×C₄	—	71	1	no	—
1679	C₂×C₄	—	71	1	no	—
1680	C₂×C₄	—	71	1	no	—
1681	C₂×C₄	—	71	1	no	—
1682	C₂×C₄	—	71	1	no	—
1683	C₂×C₄	—	71	1	no	—
1684	C₂×C₄	—	71	1	no	—
1685	C₂×C₄	—	71	1	no	—
1686	C₂×C₄	—	142	2	no	—
1687	C₂×C₄	—	142	2	no	—
1688	C₂×C₄	—	142	2	no	—
1689	C₂×C₄	—	142	2	no	—
1690	C₂×C₄	—	142	1	no	—
1691	C₂×C₄	—	142	1	no	—
1692	C₂×C₄	—	142	1	no	—
1693	C₂×C₄	—	142	1	no	—
1694	C₂×C₄	—	142	1	no	—
1695	C₂×C₄	—	142	1	no	—
1696	C₂×C₄	—	142	1	no	—
1697	C₂×C₄	—	142	1	no	—
1698	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1699	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1700	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1701	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1702	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1703	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1704	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1705	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1706	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1707	C₂×C₄	C₂⁴×D₇₁	1	1	yes	characteristic
1708	C₈	—	2	1	no	—
1709	C₈	—	2	1	no	—
1710	C₈	—	2	1	no	—
1711	C₈	—	2	1	no	—
1712	C₈	—	2	1	no	—
1713	C₈	—	2	1	no	—
1714	C₈	—	2	1	no	—
1715	C₈	—	142	1	no	—
1716	C₈	—	142	1	no	—
1717	C₈	—	142	1	no	—
1718	C₈	—	142	1	no	—
1719	C₈	—	142	1	no	—
1720	C₈	—	142	1	no	—
1721	C₈	—	142	1	no	—
1722	C₈	—	142	1	no	—
1723	C₈	#14556173	1	2	yes	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	2	1	no	—
1737	C₂²	—	2	1	no	—
1738	C₂²	—	8	2	no	—
1739	C₂²	—	568	2	no	—
1740	C₂²	—	142	1	no	—
1741	C₂²	—	142	1	no	—
1742	C₂²	—	142	1	no	—
1743	C₂²	—	142	1	no	—
1744	C₂²	—	142	1	no	—
1745	C₂²	—	142	1	no	—
1746	C₂²	—	142	1	no	—
1747	C₂²	—	142	1	no	—
1748	C₂²	—	142	1	no	—
1749	C₂²	—	142	1	no	—
1750	C₂²	—	142	1	no	—
1751	C₂²	—	142	1	no	—
1752	C₂²	#131×D₇₁	1	2	yes	—
1753	C₂²	C₂³×C₄×D₇₁	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	71	2	no	—
1764	C₄	—	71	2	no	—
1765	C₄	—	142	1	no	—
1766	C₄	—	142	1	no	—
1767	C₄	—	142	1	no	—
1768	C₄	—	142	1	no	—
1769	C₄	—	142	1	no	—
1770	C₄	—	142	1	no	—
1771	C₄	—	142	1	no	—
1772	C₄	—	142	1	no	—
1773	C₄	—	142	1	no	—
1774	C₄	—	142	1	no	—
1775	C₄	C₂×#14556173	1	1	yes	characteristic
1776	C₄	#17986835	1	1	yes	characteristic
1777	C₂	—	2	2	no	—
1778	C₂	—	4	1	no	—
1779	C₂	—	4	1	no	—
1780	C₂	—	4	1	no	—
1781	C₂	—	4	1	no	—
1782	C₂	—	284	1	no	—
1783	C₂	—	284	1	no	—
1784	C₂	—	284	1	no	—
1785	C₂	—	284	1	no	—
1786	C₂	C₄×#14556173	1	1	yes	characteristic
1787	C₂	C₂×#131×D₇₁	1	1	yes	characteristic
1788	C₂	#22603053	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₁
commutator, socle	C₂²×C₇₁	C₂⁴×C₄
Fitting	C₇₁×#2933	C₂
prime radical	#22601758	C₂
cosocle	C₂×C₄×C₇₁	C₂⁵
hypercenter	#2933	D₇₁
hypocenter	C₇₁	#60321
LCS	G ▷ C₂²×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂×C₄ ◁ #2933

Complements

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

N	H ≅ G/N	type
2. #22597498	C₂	semidirect
3. #22597493	C₂	semidirect
4. #22597487	C₂	semidirect
5. #22597486	C₂	semidirect
6. #22597452	C₂	semidirect
7. #22597447	C₂	semidirect
8. #22597413	C₂	semidirect
9. #22597412	C₂	semidirect
10. #22597405	C₂	semidirect
11. #22597404	C₂	semidirect
12. #22597396	C₂	semidirect
13. #22597394	C₂	semidirect
14. #22597393	C₂	semidirect
15. #22597391	C₂	semidirect
16. #22597362	C₂	semidirect
17. #22597340	C₂	semidirect
18. #22597339	C₂	semidirect
19. #22597311	C₂	semidirect
20. #22597310	C₂	semidirect
21. #22597300	C₂	semidirect
22. C₈×#11765864	C₂	semidirect
23. #22597082	C₂	semidirect
24. #22597081	C₂	semidirect
25. #22597066	C₂	semidirect
26. #22597065	C₂	semidirect
27. #22597060	C₂	semidirect
28. #22597050	C₂	semidirect
29. #22597049	C₂	semidirect
30. C₂×#17986075	C₂	semidirect
31. C₇₁×#2933	C₂	semidirect
32. C₂×#14556136	C₂²	semidirect
33. C₂×#14556136	C₂²	semidirect
34. C₂×#14556134	C₂²	semidirect
66. #17986128	C₂²	semidirect
67. #17986128	C₂²	semidirect
68. #17986127	C₂²	semidirect
69. #17986127	C₂²	semidirect
70. C₈×Dic₁₄₂	C₂²	semidirect
71. C₈×Dic₁₄₂	C₂²	semidirect
72. #17986123	C₂²	semidirect
73. #17986123	C₂²	semidirect
74. #17986078	C₂²	semidirect
75. #17986076	C₂²	semidirect
84. #17986075	C₂²	semidirect
85. #17986075	C₂²	semidirect
86. #17986075	C₂²	semidirect
87. #17986075	C₂²	semidirect
88. #17986075	C₂²	semidirect
89. #17986074	C₂²	semidirect
90. #17986074	C₂²	semidirect
91. #17986074	C₂²	semidirect
92. #17986073	C₂²	semidirect
93. #17986072	C₂²	semidirect
94. #17986072	C₂²	semidirect
97. #17986071	C₂²	semidirect
98. #17986071	C₂²	semidirect
101. #17986070	C₂²	semidirect
102. #17986070	C₂²	semidirect
103. #17986070	C₂²	semidirect
104. #17986069	C₂²	semidirect
105. #17986069	C₂²	semidirect
106. #17986068	C₂²	semidirect
107. #17986068	C₂²	semidirect
108. #17986068	C₂²	semidirect
111. #17986067	C₂²	semidirect
112. C₈×D₂₈₄	C₂²	semidirect
115. D₄×C₇₁⋊C₈	C₂²	semidirect
116. D₄×C₇₁⋊C₈	C₂²	semidirect
117. #17986064	C₂²	semidirect
124. C₈×C₂²⋊D₇₁	C₂²	semidirect
125. C₈×C₂²⋊D₇₁	C₂²	semidirect
126. C₈×C₂²⋊D₇₁	C₂²	semidirect
127. C₈×C₂²⋊D₇₁	C₂²	semidirect
128. C₈×C₂²⋊D₇₁	C₂²	semidirect
135. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
136. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
137. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
138. #17986061	C₂²	semidirect
139. #17986060	C₂²	semidirect
140. #17986060	C₂²	semidirect
141. #17986059	C₂²	semidirect
142. #17986059	C₂²	semidirect
143. #17986058	C₂²	semidirect
144. #17986057	C₂²	semidirect
145. #17986057	C₂²	semidirect
146. #17986054	C₂²	semidirect
147. #17986053	C₂²	semidirect
148. #17986051	C₂²	semidirect
149. #17986051	C₂²	semidirect
150. #17986050	C₂²	semidirect
153. #17986049	C₂²	semidirect
154. #17986049	C₂²	semidirect
155. #17986049	C₂²	semidirect
156. #17986027	C₂²	semidirect
157. #17986024	C₂²	semidirect
158. #17986024	C₂²	semidirect
159. #17986022	C₂²	semidirect
160. #17986021	C₂²	semidirect
162. C₂×Dic₇₁⋊C₈	C₂²	semidirect
163. C₄⋊C₈×D₇₁	C₂²	semidirect
164. #17985967	C₂²	semidirect
165. #17985967	C₂²	semidirect
166. #17985966	C₂²	semidirect
167. #17985966	C₂²	semidirect
168. #17985965	C₂²	semidirect
169. #17985964	C₂²	semidirect
170. #17985964	C₂²	semidirect
171. #17985964	C₂²	semidirect
172. #17985964	C₂²	semidirect
173. #17985964	C₂²	semidirect
174. #17985964	C₂²	semidirect
180. #17985957	C₂²	semidirect
181. #17985956	C₂²	semidirect
182. #17985953	C₂²	semidirect
183. #17985951	C₂²	semidirect
184. M₁₆×Dic₇₁	C₂²	semidirect
186. C₂×C₈×Dic₇₁	C₂²	semidirect
187. C₄×C₈×D₇₁	C₂²	semidirect
188. C₂×#131×C₇₁	C₂²	semidirect
191. #436×C₇₁	C₂²	semidirect
192. #436×C₇₁	C₂²	semidirect
195. #435×C₇₁	C₂²	semidirect
196. #435×C₇₁	C₂²	semidirect
199. #424×C₇₁	C₂²	semidirect
200. #408×C₇₁	C₂²	semidirect
202. #405×C₇₁	C₂²	semidirect
776. C₂×Dic₇₁	#131	semidirect
922. #2933	D₇₁	semidirect
926. C₇₁	#60321	semidirect
930. C₂×#131	C₂×D₇₁	semidirect
990. #436	C₂×D₇₁	semidirect
991. #436	C₂×D₇₁	semidirect
1014. #435	C₂×D₇₁	semidirect
1015. #435	C₂×D₇₁	semidirect
1065. #424	C₂×D₇₁	semidirect
1082. #408	C₂×D₇₁	semidirect
1092. #405	C₂×D₇₁	semidirect

Maximal subgroups

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

subgroup	index
#22601758	2
#22597498	2
#22597493	2
#22597487	2
#22597486	2
#22597452	2
#22597447	2
#22597413	2
#22597412	2
#22597405	2
#22597404	2
#22597396	2
#22597394	2
#22597393	2
#22597391	2
#22597362	2
#22597340	2
#22597339	2
#22597311	2
#22597310	2
#22597300	2
C₈×#11765864	2
#22597082	2
#22597081	2
#22597066	2
#22597065	2
#22597060	2
#22597050	2
#22597049	2
C₂×#17986075	2
C₇₁×#2933	2
#60321	71