Subgroups — #32862128

Order 18176.

1914 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22601892	C₂	1	1	yes	maximal, characteristic
2	#22597358	C₂	1	1	yes	maximal, characteristic, complemented
3	#22597356	C₂	1	1	yes	maximal, characteristic, complemented
4	#22597343	C₂	1	1	yes	maximal, characteristic, complemented
5	#22597340	C₂	1	1	yes	maximal, characteristic, complemented
6	#22597340	C₂	1	1	yes	maximal, characteristic, complemented
7	#22597339	C₂	1	1	yes	maximal, characteristic, complemented
8	#22597339	C₂	1	1	yes	maximal, characteristic, complemented
9	#22597327	C₂	1	1	yes	maximal, characteristic, complemented
10	#22597324	C₂	1	1	yes	maximal, characteristic, complemented
11	#22597323	C₂	1	1	yes	maximal, characteristic, complemented
12	#22597319	C₂	1	1	yes	maximal, characteristic, complemented
13	#22597313	C₂	1	1	yes	maximal, characteristic, complemented
14	#22597308	C₂	1	1	yes	maximal, characteristic, complemented
15	#22597304	C₂	1	1	yes	maximal, characteristic, complemented
16	#22597300	C₂	1	1	yes	maximal, characteristic, complemented
17	#22597285	C₂	1	1	yes	maximal, characteristic, complemented
18	#22597269	C₂	1	1	yes	maximal, characteristic, complemented
19	#22597073	C₂	1	1	yes	maximal, characteristic, complemented
20	#22597063	C₂	1	1	yes	maximal, characteristic, complemented
21	#22597060	C₂	1	1	yes	maximal, characteristic, complemented
22	#22597040	C₂	1	1	yes	maximal, characteristic, complemented
23	#22597040	C₂	1	1	yes	maximal, characteristic, complemented
24	#436×D₇₁	C₂	1	1	yes	maximal, characteristic, complemented
25	#22597003	C₂	1	1	yes	maximal, characteristic, complemented
26	#22596996	C₂	1	1	yes	maximal, characteristic, complemented
27	#22596993	C₂	1	1	yes	maximal, characteristic, complemented
28	#22596762	C₂	1	1	yes	maximal, characteristic, complemented
29	#22596757	C₂	1	1	yes	maximal, characteristic, complemented
30	#22596756	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₁×#2969	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556136	C₂²	1	1	yes	characteristic
33	C₂×#14556134	C₂²	1	1	yes	characteristic
34	C₂²×#11765848	C₂²	1	1	yes	characteristic
35	C₂×M₁₆×D₇₁	C₂²	1	1	yes	characteristic
36	C₂×M₁₆×D₇₁	C₂²	1	1	yes	characteristic
37	C₂×M₁₆×D₇₁	C₂²	1	1	yes	characteristic
38	#17986716	C₄	1	1	yes	characteristic
39	#17986711	C₄	1	1	yes	characteristic
40	#17986703	C₄	1	1	yes	characteristic
41	#17986700	C₄	1	1	yes	characteristic
42	#17986692	C₄	1	1	yes	characteristic
43	#17986686	C₄	1	1	yes	characteristic
44	#17986685	C₄	1	1	yes	characteristic
45	#17986681	C₄	1	1	yes	characteristic
46	#17986681	C₄	1	1	yes	characteristic
47	#17986679	C₄	1	1	yes	characteristic
48	#17986676	C₄	1	1	yes	characteristic
49	#17986674	C₄	1	1	yes	characteristic
50	#17986672	C₄	1	1	yes	characteristic
51	#17986647	C₄	1	1	yes	characteristic
52	#17986641	C₄	1	1	yes	characteristic
53	#17986638	C₄	1	1	yes	characteristic
54	#17986553	C₂²	1	1	yes	characteristic
55	#17986536	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	#17986508	C₂²	1	1	yes	characteristic
61	#17986508	C₂²	1	1	yes	characteristic
62	C₄×#11765865	C₂²	1	1	yes	characteristic
63	#17986467	C₂²	1	1	yes	characteristic
64	C₄×#11765864	C₂²	1	1	yes	characteristic
65	C₄×D₄×D₇₁	C₂²	1	1	yes	characteristic
66	C₂×#14556085	C₂²	1	1	yes	characteristic
67	#117×D₇₁	C₂²	1	1	yes	characteristic
68	#17986130	C₂²	1	1	yes	characteristic, complemented
69	#17986130	C₂²	1	1	yes	characteristic, complemented
70	#17986128	C₂²	1	1	yes	characteristic, complemented
71	#17986128	C₂²	1	1	yes	characteristic, complemented
72	#17986128	C₂²	1	1	yes	characteristic, complemented
73	#17986128	C₂²	1	1	yes	characteristic, complemented
74	#17986127	C₂²	1	1	yes	characteristic, complemented
75	#17986127	C₂²	1	1	yes	characteristic, complemented
76	#17986126	C₂²	1	1	yes	characteristic, complemented
77	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic, complemented
78	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic, complemented
79	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic, complemented
80	C₈×Dic₁₄₂	C₂²	1	1	yes	characteristic, complemented
81	#17986123	C₂²	1	1	yes	characteristic, complemented
82	#17986078	C₂²	1	1	yes	characteristic
83	#17986078	C₂²	1	1	yes	characteristic, complemented
84	#17986078	C₂²	1	1	yes	characteristic, complemented
85	#17986078	C₂²	1	1	yes	characteristic, complemented
86	#17986077	C₂²	1	1	yes	characteristic
87	#17986077	C₂²	1	1	yes	characteristic, complemented
88	#17986076	C₂²	1	1	yes	characteristic
89	#17986075	C₂²	1	1	yes	characteristic
90	#17986075	C₂²	1	1	yes	characteristic
91	#17986075	C₂²	1	1	yes	characteristic
92	#17986075	C₂²	1	1	yes	characteristic, complemented
93	#17986075	C₂²	1	1	yes	characteristic, complemented
94	#17986075	C₂²	1	1	yes	characteristic, complemented
95	#17986075	C₂²	1	1	yes	characteristic, complemented
96	#17986075	C₂²	1	1	yes	characteristic, complemented
97	#17986074	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, complemented
101	#17986073	C₂²	1	1	yes	characteristic, complemented
102	#17986073	C₂²	1	1	yes	characteristic, complemented
103	#17986073	C₂²	1	1	yes	characteristic, complemented
104	#17986073	C₂²	1	1	yes	characteristic, complemented
105	#17986072	C₂²	1	1	yes	characteristic
106	#17986072	C₂²	1	1	yes	characteristic, complemented
107	#17986071	C₂²	1	1	yes	characteristic
108	#17986071	C₂²	1	1	yes	characteristic, complemented
109	#17986071	C₂²	1	1	yes	characteristic, complemented
110	#17986071	C₂²	1	1	yes	characteristic, complemented
111	#17986070	C₂²	1	1	yes	characteristic, complemented
112	#17986070	C₂²	1	1	yes	characteristic, complemented
113	#17986069	C₂²	1	1	yes	characteristic
114	#17986069	C₂²	1	1	yes	characteristic, complemented
115	#17986069	C₂²	1	1	yes	characteristic, complemented
116	#17986069	C₂²	1	1	yes	characteristic, complemented
117	#17986067	C₂²	1	1	yes	characteristic, complemented
118	#17986067	C₂²	1	1	yes	characteristic, complemented
119	#17986064	C₂²	1	1	yes	characteristic, complemented
120	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic
121	C₈×C₂²⋊D₇₁	C₂²	1	1	yes	characteristic, complemented
122	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic
123	(C₂²⋊D₇₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
124	#17986060	C₂²	1	1	yes	characteristic, complemented
125	#17986060	C₂²	1	1	yes	characteristic, complemented
126	#17986059	C₂²	1	1	yes	characteristic, complemented
127	#17986059	C₂²	1	1	yes	characteristic, complemented
128	#17986059	C₂²	1	1	yes	characteristic, complemented
129	#17986059	C₂²	1	1	yes	characteristic, complemented
130	#17986058	C₂²	1	1	yes	characteristic, complemented
131	#17986058	C₂²	1	1	yes	characteristic, complemented
132	#17986057	C₂²	1	1	yes	characteristic, complemented
133	#17986057	C₂²	1	1	yes	characteristic, complemented
134	#17986056	C₂²	1	1	yes	characteristic, complemented
135	#17986055	C₂²	1	1	yes	characteristic, complemented
136	#17986054	C₂²	1	1	yes	characteristic, complemented
137	#17986054	C₂²	1	1	yes	characteristic, complemented
138	#17986053	C₂²	1	1	yes	characteristic, complemented
139	#17986053	C₂²	1	1	yes	characteristic, complemented
140	#17986051	C₂²	1	1	yes	characteristic, complemented
141	#17986050	C₂²	1	1	yes	characteristic, complemented
142	#17986050	C₂²	1	1	yes	characteristic, complemented
143	#17986049	C₂²	1	1	yes	characteristic, complemented
144	#17986049	C₂²	1	1	yes	characteristic, complemented
145	#17986024	C₂²	1	1	yes	characteristic
146	#17986024	C₂²	1	1	yes	characteristic
147	#17986024	C₂²	1	1	yes	characteristic
148	#17986024	C₂²	1	1	yes	characteristic
149	#17986021	C₂²	1	1	yes	characteristic
150	C₄⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
151	#17985964	C₂²	1	1	yes	characteristic
152	#17985964	C₂²	1	1	yes	characteristic
153	#17985961	C₂²	1	1	yes	characteristic
154	#17985961	C₂²	1	1	yes	characteristic
155	C₂²⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
156	C₂²⋊C₈×D₇₁	C₂²	1	1	yes	characteristic
157	#17985957	C₂²	1	1	yes	characteristic, complemented
158	#17985956	C₂²	1	1	yes	characteristic
159	#17985956	C₂²	1	1	yes	characteristic
160	#17985956	C₂²	1	1	yes	characteristic
161	#17985956	C₂²	1	1	yes	characteristic, complemented
162	#17985956	C₂²	1	1	yes	characteristic, complemented
163	#17985956	C₂²	1	1	yes	characteristic, complemented
164	#17985955	C₂²	1	1	yes	characteristic, complemented
165	#17985955	C₂²	1	1	yes	characteristic, complemented
166	#17985954	C₂²	1	1	yes	characteristic, complemented
167	#17985953	C₂²	1	1	yes	characteristic
168	#17985953	C₂²	1	1	yes	characteristic
169	#17985953	C₂²	1	1	yes	characteristic
170	#17985953	C₂²	1	1	yes	characteristic
171	#17985953	C₂²	1	1	yes	characteristic
172	#17985953	C₂²	1	1	yes	characteristic, complemented
173	#17985953	C₂²	1	1	yes	characteristic, complemented
174	#17985953	C₂²	1	1	yes	characteristic, complemented
175	C₄×#11765849	C₂²	1	1	yes	characteristic, complemented
176	#17985951	C₂²	1	1	yes	characteristic
177	#17985951	C₂²	1	1	yes	characteristic, complemented
178	#17985951	C₂²	1	1	yes	characteristic, complemented
179	#17985951	C₂²	1	1	yes	characteristic, complemented
180	M₁₆×Dic₇₁	C₂²	1	1	yes	characteristic, complemented
181	M₁₆×Dic₇₁	C₂²	1	1	yes	characteristic, complemented
182	M₁₆×Dic₇₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×#11765848	C₂²	1	1	yes	characteristic, complemented
184	C₄×#11765848	C₂²	1	1	yes	characteristic, complemented
185	C₂×C₈×Dic₇₁	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₈×D₇₁	C₂²	1	1	yes	characteristic
187	C₄×C₈×D₇₁	C₂²	1	1	yes	characteristic, complemented
188	#529×C₇₁	C₂²	1	1	yes	characteristic
189	#446×C₇₁	C₂²	1	1	yes	characteristic, complemented
190	C₈×Q₈×C₇₁	C₂²	1	1	yes	characteristic, complemented
191	#436×C₇₁	C₂²	1	1	yes	characteristic
192	#436×C₇₁	C₂²	1	1	yes	characteristic, complemented
193	#436×C₇₁	C₂²	1	1	yes	characteristic, complemented
194	#435×C₇₁	C₂²	1	1	yes	characteristic
195	#435×C₇₁	C₂²	1	1	yes	characteristic, complemented
196	C₈×D₄×C₇₁	C₂²	1	1	yes	characteristic, complemented
197	#433×C₇₁	C₂²	1	1	yes	characteristic, complemented
198	#433×C₇₁	C₂²	1	1	yes	characteristic, complemented
199	#431×C₇₁	C₂²	1	1	yes	characteristic, complemented
200	#405×C₇₁	C₂²	1	1	yes	characteristic, complemented
201	#405×C₇₁	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₇₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11765865	C₂×C₄	1	1	yes	characteristic
204	C₂×#11765865	C₂³	1	1	yes	characteristic
205	C₂×#11765864	C₂×C₄	1	1	yes	characteristic
206	C₂×D₄×D₇₁	C₂×C₄	1	1	yes	characteristic
207	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇₁	C₂³	1	1	yes	characteristic
209	#14556136	—	2	4	no	—
210	#14556134	—	2	4	no	—
211	C₂×#11765849	C₂³	1	1	yes	characteristic
212	C₂×#11765849	C₂³	1	1	yes	characteristic
213	C₂×#11765849	C₂³	1	1	yes	characteristic
214	C₂×#11765849	C₂³	1	1	yes	characteristic
215	C₂×#11765848	—	2	4	no	—
216	C₂×#11765848	C₂³	1	1	yes	characteristic
217	C₂×#11765848	C₂³	1	1	yes	characteristic
218	C₂×#11765848	C₂³	1	1	yes	characteristic
219	C₂×#11765848	C₂³	1	1	yes	characteristic
220	C₂×#11765848	C₂³	1	1	yes	characteristic
221	C₂×#11765848	C₂³	1	1	yes	characteristic
222	C₂×#11765848	C₂³	1	1	yes	characteristic
223	C₂×#11765848	C₂³	1	1	yes	characteristic
224	C₂×#11765848	C₂³	1	1	yes	characteristic
225	C₂×#11765848	C₂³	1	1	yes	characteristic
226	C₂×#11765848	C₂³	1	1	yes	characteristic
227	C₂×#11765848	C₂³	1	1	yes	characteristic
228	M₁₆×D₇₁	—	2	4	no	—
229	M₁₆×D₇₁	—	2	4	no	—
230	M₁₆×D₇₁	—	2	4	no	—
231	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
232	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
233	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
234	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
235	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
236	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
237	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
238	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
239	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
240	C₂×C₈×D₇₁	C₂³	1	1	yes	characteristic
241	#14556127	C₂×C₄	1	1	yes	characteristic
242	#14556126	C₂×C₄	1	1	yes	characteristic
243	#14556123	C₂×C₄	1	1	yes	characteristic
244	#14556123	C₂×C₄	1	1	yes	characteristic
245	#14556123	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	#14556121	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	#14556119	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	#14556118	C₂×C₄	1	1	yes	characteristic
259	#14556118	C₂×C₄	1	1	yes	characteristic
260	#14556117	C₂×C₄	1	1	yes	characteristic
261	#14556114	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	#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	#14556113	C₂×C₄	1	1	yes	characteristic
270	#14556113	C₂×C₄	1	1	yes	characteristic
271	#14556112	C₂×C₄	1	1	yes	characteristic
272	#14556112	C₂×C₄	1	1	yes	characteristic
273	#14556110	C₂×C₄	1	1	yes	characteristic
274	#14556110	C₂×C₄	1	1	yes	characteristic
275	#14556110	C₂×C₄	1	1	yes	characteristic
276	#14556110	C₂×C₄	1	1	yes	characteristic
277	#14556109	C₂×C₄	1	1	yes	characteristic
278	#14556109	C₂×C₄	1	1	yes	characteristic
279	#14556108	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	#14556106	C₂×C₄	1	1	yes	characteristic
284	#14556106	C₂×C₄	1	1	yes	characteristic
285	#14556106	C₂×C₄	1	1	yes	characteristic
286	#14556105	C₂×C₄	1	1	yes	characteristic
287	#14556105	C₂×C₄	1	1	yes	characteristic
288	#14556105	C₂×C₄	1	1	yes	characteristic
289	#14556105	C₂×C₄	1	1	yes	characteristic
290	#14556104	C₂×C₄	1	1	yes	characteristic
291	#14556104	C₂×C₄	1	1	yes	characteristic
292	#14556103	C₂×C₄	1	1	yes	characteristic
293	#14556101	C₂×C₄	1	1	yes	characteristic
294	#14556101	C₂×C₄	1	1	yes	characteristic
295	#14556101	C₂×C₄	1	1	yes	characteristic
296	#14556101	C₂×C₄	1	1	yes	characteristic
297	#14556100	C₂×C₄	1	1	yes	characteristic
298	#14556100	C₂×C₄	1	1	yes	characteristic
299	#14556100	C₂×C₄	1	1	yes	characteristic
300	#14556100	C₂×C₄	1	1	yes	characteristic
301	#14556098	C₂×C₄	1	1	yes	characteristic
302	#14556098	C₂×C₄	1	1	yes	characteristic
303	#14556096	C₂×C₄	1	1	yes	characteristic
304	#14556096	C₂×C₄	1	1	yes	characteristic
305	C₄×Dic₁₄₂	C₂×C₄	1	1	yes	characteristic
306	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
307	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
308	C₄×Dic₁₄₂	C₂³	1	1	yes	characteristic
309	#14556093	C₂×C₄	1	1	yes	characteristic
310	#14556093	C₂×C₄	1	1	yes	characteristic
311	#14556093	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	D₄×Dic₇₁	C₂×C₄	1	1	yes	characteristic
317	D₄×Dic₇₁	C₂×C₄	1	1	yes	characteristic
318	#14556090	C₂×C₄	1	1	yes	characteristic
319	#14556090	C₂×C₄	1	1	yes	characteristic
320	#14556090	C₂×C₄	1	1	yes	characteristic
321	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
322	C₄×C₂²⋊D₇₁	C₂×C₄	1	1	yes	characteristic
323	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
324	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
325	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
326	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
327	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
328	C₄×C₂²⋊D₇₁	C₂³	1	1	yes	characteristic
329	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
330	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
331	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
332	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
333	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
334	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
335	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
336	(C₂²⋊D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
337	#14556087	C₂×C₄	1	1	yes	characteristic
338	#14556087	C₂³	1	1	yes	characteristic
339	#14556086	C₂×C₄	1	1	yes	characteristic
340	#14556086	C₂×C₄	1	1	yes	characteristic
341	#14556086	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	C₂×C₄	1	1	yes	characteristic
346	#14556085	C₂×C₄	1	1	yes	characteristic
347	#14556085	C₂×C₄	1	1	yes	characteristic
348	#14556085	C₂³	1	1	yes	characteristic
349	#14556085	C₂³	1	1	yes	characteristic
350	#14556085	C₂³	1	1	yes	characteristic
351	#14556085	C₂³	1	1	yes	characteristic
352	#14556085	C₂³	1	1	yes	characteristic
353	#14556085	C₂³	1	1	yes	characteristic
354	#14556084	C₂×C₄	1	1	yes	characteristic
355	#14556084	C₂×C₄	1	1	yes	characteristic
356	#14556084	C₂×C₄	1	1	yes	characteristic
357	#14556084	C₂×C₄	1	1	yes	characteristic
358	C₂×Dic₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
359	C₂×Dic₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
360	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
361	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
362	C₄⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
363	C₂×(C₂×D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
364	C₂×(C₂×D₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
365	C₂²⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
366	C₂²⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
367	C₂²⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
368	C₂²⋊C₄×D₇₁	C₂×C₄	1	1	yes	characteristic
369	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
370	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
371	C₄²×D₇₁	C₂³	1	1	yes	characteristic
372	C₄²×D₇₁	C₂³	1	1	yes	characteristic
373	C₄²×D₇₁	C₂³	1	1	yes	characteristic
374	C₄²×D₇₁	C₂³	1	1	yes	characteristic
375	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
376	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
377	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
378	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
379	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
380	C₄⋊(C₇₁⋊C₈)	C₂³	1	1	yes	characteristic
381	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
382	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
383	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
384	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
385	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
386	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
387	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
388	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
389	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
390	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
391	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
392	Dic₇₁⋊C₈	C₂³	1	1	yes	characteristic
393	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	(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	(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	#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	#14556039	C₂³	1	1	yes	characteristic
416	#14556039	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	#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	C₄×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
428	C₄×C₇₁⋊C₈	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	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
440	C₈×Dic₇₁	C₂³	1	1	yes	characteristic
441	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
442	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
443	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
444	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
445	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
446	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
447	#126×C₇₁	C₂×C₄	1	1	yes	characteristic
448	#126×C₇₁	C₂×C₄	1	1	yes	characteristic
449	#125×C₇₁	C₂×C₄	1	1	yes	characteristic
450	#124×C₇₁	C₂×C₄	1	1	yes	characteristic
451	#123×C₇₁	C₂×C₄	1	1	yes	characteristic
452	#123×C₇₁	C₂×C₄	1	1	yes	characteristic
453	C₂²⋊Q₈×C₇₁	C₂×C₄	1	1	yes	characteristic
454	#121×C₇₁	C₂×C₄	1	1	yes	characteristic
455	C₄×Q₈×C₇₁	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₇₁	C₂³	1	1	yes	characteristic
459	#117×C₇₁	C₂³	1	1	yes	characteristic
460	#117×C₇₁	C₂³	1	1	yes	characteristic
461	C₂×C₄²×C₇₁	C₂³	1	1	yes	characteristic
462	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
463	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
464	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
465	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
466	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
467	C₄⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₇₁	C₂³	1	1	yes	characteristic
474	#97×C₇₁	C₂³	1	1	yes	characteristic
475	#97×C₇₁	C₂³	1	1	yes	characteristic
476	#97×C₇₁	C₂³	1	1	yes	characteristic
477	#97×C₇₁	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
481	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₇₁	C₂³	1	1	yes	characteristic
484	C₂³×D₇₁	C₂²×C₄	1	1	yes	characteristic
485	C₂³×D₇₁	C₂²×C₄	1	1	yes	characteristic
486	#11765865	—	2	2	no	—
487	#11765865	—	2	2	no	—
488	#11765865	—	4	2	no	—
489	#11765864	—	4	2	no	—
490	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
491	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
492	C₂×Dic₁₄₂	C₂²×C₄	1	1	yes	characteristic
493	C₂×Dic₁₄₂	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×D₂₈₄	C₂²×C₄	1	1	yes	characteristic
497	C₂×D₂₈₄	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×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₇₁	C₂²×C₄	1	1	yes	characteristic
506	D₄×D₇₁	—	4	2	no	—
507	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
508	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
509	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
510	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
511	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
512	C₂²×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₄×D₇₁	—	2	2	no	—
514	C₂×C₄×D₇₁	—	2	2	no	—
515	C₂×C₄×D₇₁	—	2	2	no	—
516	C₂×C₄×D₇₁	—	2	2	no	—
517	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₇₁	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
530	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
532	C₂×C₄×D₇₁	C₂⁴	1	1	yes	characteristic
533	#11765849	—	2	2	no	—
534	#11765849	—	2	2	no	—
535	#11765849	—	2	2	no	—
536	#11765849	—	2	2	no	—
537	#11765848	—	2	2	no	—
538	#11765848	—	2	2	no	—
539	#11765848	—	2	2	no	—
540	#11765848	—	2	2	no	—
541	#11765848	—	2	2	no	—
542	#11765848	—	2	2	no	—
543	#11765848	—	2	2	no	—
544	#11765848	—	2	2	no	—
545	#11765848	—	2	2	no	—
546	#11765848	—	2	2	no	—
547	#11765848	—	2	2	no	—
548	#11765848	#41	1	4	yes	complemented
549	C₂×C₇₁⋊C₈	—	2	2	no	—
550	C₂×C₇₁⋊C₈	—	2	2	no	—
551	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
552	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
553	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
554	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
555	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
558	C₂×C₇₁⋊C₈	C₂⁴	1	1	yes	characteristic
559	C₈×D₇₁	—	2	2	no	—
560	C₈×D₇₁	—	2	2	no	—
561	C₈×D₇₁	—	2	2	no	—
562	C₈×D₇₁	—	2	2	no	—
563	C₈×D₇₁	—	2	2	no	—
564	C₈×D₇₁	—	2	2	no	—
565	C₈×D₇₁	—	2	2	no	—
566	C₈×D₇₁	#41	1	4	yes	complemented
567	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
568	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
569	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
570	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
571	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
572	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
573	C₄⋊Dic₇₁	C₂²×C₄	1	1	yes	characteristic
574	C₄⋊Dic₇₁	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	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	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₇₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	(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	C₄×Dic₇₁	C₂²×C₄	1	1	yes	characteristic
632	C₄×Dic₇₁	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	C₂×Q₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
648	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
649	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
650	C₂×D₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
651	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
652	C₂²×C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
653	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
654	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
655	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
656	M₁₆×C₇₁	—	2	2	no	—
657	M₁₆×C₇₁	—	2	2	no	—
658	M₁₆×C₇₁	—	2	2	no	—
659	M₁₆×C₇₁	—	2	2	no	—
660	C₂×C₈×C₇₁	—	2	2	no	—
661	C₂×C₈×C₇₁	—	2	2	no	—
662	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
663	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
664	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
665	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
666	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
667	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
668	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
669	C₂×C₈×C₇₁	C₂⁴	1	1	yes	characteristic
670	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
671	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
672	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₇₁	C₂²×C₄	1	1	yes	characteristic
690	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
691	C₄²×C₇₁	C₂²×C₄	1	1	yes	characteristic
692	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
693	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
694	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
695	C₄²×C₇₁	C₂⁴	1	1	yes	characteristic
696	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
697	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
698	C₂³×C₇₁	C₂³×C₄	1	1	yes	characteristic
699	C₂²×D₇₁	—	2	2	no	—
700	C₂²×D₇₁	—	2	2	no	—
701	C₂²×D₇₁	—	4	1	no	—
702	C₂²×D₇₁	—	4	1	no	—
703	C₂²×D₇₁	—	4	1	no	—
704	C₂²×D₇₁	—	4	1	no	—
705	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
706	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
707	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
708	C₂²×D₇₁	C₂³×C₄	1	1	yes	characteristic
709	Q₈×C₇₁	—	4	1	no	—
710	D₄×C₇₁	—	4	1	no	—
711	D₄×C₇₁	—	4	1	no	—
712	D₄×C₇₁	—	4	1	no	—
713	C₂×C₄×C₇₁	—	2	1	no	—
714	C₂×C₄×C₇₁	—	2	1	no	—
715	C₂×C₄×C₇₁	—	2	1	no	—
716	C₂×C₄×C₇₁	—	2	1	no	—
717	C₂×C₄×C₇₁	—	2	1	no	—
718	C₂×C₄×C₇₁	—	2	1	no	—
719	C₂×C₄×C₇₁	—	4	1	no	—
720	C₂×C₄×C₇₁	—	4	1	no	—
721	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
723	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
724	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
725	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
726	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
727	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
728	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
729	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
730	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
731	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
732	C₂×C₄×C₇₁	C₂⁵	1	1	yes	characteristic
733	C₂²⋊D₇₁	—	2	2	no	—
734	C₂²⋊D₇₁	—	2	2	no	—
735	C₂²⋊D₇₁	—	2	2	no	—
736	C₂²⋊D₇₁	—	2	2	no	—
737	C₂²⋊D₇₁	—	4	1	no	—
738	C₂²⋊D₇₁	—	4	1	no	—
739	C₂²⋊D₇₁	—	4	1	no	—
740	C₂²⋊D₇₁	—	4	1	no	—
741	C₂×Dic₇₁	—	2	2	no	—
742	C₂×Dic₇₁	—	2	2	no	—
743	C₂×Dic₇₁	—	2	2	no	—
744	C₂×Dic₇₁	—	4	1	no	—
745	C₂×Dic₇₁	—	4	1	no	—
746	C₂×Dic₇₁	—	4	1	no	—
747	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
748	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
749	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
750	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
751	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
752	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
753	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
754	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
755	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
756	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
757	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
758	C₂×Dic₇₁	C₂³×C₄	1	1	yes	characteristic
759	D₂₈₄	—	2	2	no	—
760	D₂₈₄	—	4	1	no	—
761	D₂₈₄	—	4	1	no	—
762	D₂₈₄	—	4	1	no	—
763	C₄×D₇₁	—	2	2	no	—
764	C₄×D₇₁	—	2	2	no	—
765	C₄×D₇₁	—	2	1	no	—
766	C₄×D₇₁	—	2	1	no	—
767	C₄×D₇₁	—	2	1	no	—
768	C₄×D₇₁	—	2	1	no	—
769	C₄×D₇₁	—	2	1	no	—
770	C₄×D₇₁	—	2	1	no	—
771	C₄×D₇₁	—	2	2	no	—
772	C₄×D₇₁	—	2	2	no	—
773	C₄×D₇₁	—	2	2	no	—
774	C₄×D₇₁	—	2	2	no	—
775	C₄×D₇₁	—	4	1	no	—
776	C₄×D₇₁	—	4	1	no	—
777	C₄×D₇₁	—	4	1	no	—
778	C₄×D₇₁	—	4	1	no	—
779	C₄×D₇₁	—	4	1	no	—
780	C₄×D₇₁	—	4	1	no	—
781	C₄×D₇₁	C₂×#41	1	2	yes	—
782	C₄×D₇₁	C₂×#41	1	2	yes	—
783	Dic₁₄₂	—	2	2	no	—
784	Dic₁₄₂	—	2	2	no	—
785	Dic₁₄₂	—	2	2	no	—
786	Dic₁₄₂	—	4	1	no	—
787	C₈×C₇₁	—	2	1	no	—
788	C₈×C₇₁	—	2	1	no	—
789	C₈×C₇₁	—	2	1	no	—
790	C₈×C₇₁	—	2	1	no	—
791	C₈×C₇₁	—	2	1	no	—
792	C₈×C₇₁	—	2	1	no	—
793	C₈×C₇₁	C₂×#41	1	2	yes	—
794	C₈×C₇₁	C₂×#41	1	2	yes	—
795	C₇₁⋊C₈	—	2	1	no	—
796	C₇₁⋊C₈	—	2	1	no	—
797	C₇₁⋊C₈	—	2	1	no	—
798	C₇₁⋊C₈	—	2	1	no	—
799	C₇₁⋊C₈	—	2	1	no	—
800	C₇₁⋊C₈	—	2	1	no	—
801	C₇₁⋊C₈	C₂×#41	1	2	yes	—
802	C₇₁⋊C₈	C₂×#41	1	2	yes	—
803	C₂²×C₇₁	—	2	1	no	—
804	C₂²×C₇₁	—	2	1	no	—
805	C₂²×C₇₁	—	2	1	no	—
806	C₂²×C₇₁	—	2	1	no	—
807	C₂²×C₇₁	—	2	1	no	—
808	C₂²×C₇₁	—	2	1	no	—
809	C₂²×C₇₁	—	2	1	no	—
810	C₂²×C₇₁	—	2	1	no	—
811	C₂²×C₇₁	—	2	1	no	—
812	C₂²×C₇₁	C₂⁴×C₄	1	1	yes	characteristic
813	C₂×D₇₁	—	2	1	no	—
814	C₂×D₇₁	—	2	1	no	—
815	C₂×D₇₁	—	2	1	no	—
816	C₂×D₇₁	—	2	1	no	—
817	C₂×D₇₁	—	2	1	no	—
818	C₂×D₇₁	—	2	1	no	—
819	C₂×D₇₁	—	2	1	no	—
820	C₂×D₇₁	—	2	1	no	—
821	C₂×D₇₁	—	2	1	no	—
822	C₂×D₇₁	—	2	1	no	—
823	C₂×D₇₁	—	2	1	no	—
824	C₂×D₇₁	—	8	2	no	—
825	C₂×D₇₁	—	8	2	no	—
826	C₂×D₇₁	C₄×#41	1	2	yes	—
827	C₄×C₇₁	—	2	1	no	—
828	C₄×C₇₁	—	2	1	no	—
829	C₄×C₇₁	—	2	1	no	—
830	C₄×C₇₁	—	2	1	no	—
831	C₄×C₇₁	—	2	1	no	—
832	C₄×C₇₁	—	2	1	no	—
833	C₄×C₇₁	—	2	1	no	—
834	C₄×C₇₁	—	2	1	no	—
835	C₄×C₇₁	—	2	1	no	—
836	C₄×C₇₁	—	2	1	no	—
837	C₄×C₇₁	—	2	1	no	—
838	C₄×C₇₁	C₂²×#41	1	1	yes	characteristic
839	C₄×C₇₁	C₂²×#41	1	1	yes	characteristic
840	Dic₇₁	—	2	1	no	—
841	Dic₇₁	—	2	1	no	—
842	Dic₇₁	—	2	1	no	—
843	Dic₇₁	—	2	1	no	—
844	Dic₇₁	—	2	1	no	—
845	Dic₇₁	—	2	1	no	—
846	Dic₇₁	—	2	1	no	—
847	Dic₇₁	—	2	1	no	—
848	Dic₇₁	—	2	1	no	—
849	Dic₇₁	—	2	1	no	—
850	Dic₇₁	C₄×#41	1	2	yes	—
851	Dic₇₁	#568	1	2	yes	—
852	#60217	—	71	1	no	maximal, Sylow
853	C₂×C₇₁	—	4	1	no	—
854	C₂×C₇₁	—	4	1	no	—
855	C₂×C₇₁	—	4	1	no	—
856	C₂×C₇₁	C₂×C₄×#41	1	1	yes	characteristic
857	C₂×C₇₁	C₂×#568	1	1	yes	characteristic
858	C₂×C₇₁	#3573	1	1	yes	characteristic
859	D₇₁	—	2	2	no	—
860	D₇₁	—	4	1	no	—
861	D₇₁	—	4	1	no	—
862	D₇₁	—	4	1	no	—
863	#3475	—	71	1	no	—
864	#2971	—	71	1	no	—
865	#2971	—	71	1	no	—
866	#2969	—	71	1	no	—
867	#2969	—	71	1	no	—
868	#2969	—	71	1	no	—
869	#2969	—	71	1	no	—
870	#2969	—	71	1	no	—
871	#2969	D₇₁	1	1	yes	characteristic, complemented
872	#2967	—	71	1	no	—
873	#2967	—	71	1	no	—
874	#2967	—	71	1	no	—
875	#2967	—	71	1	no	—
876	#2966	—	71	1	no	—
877	#2966	—	71	1	no	—
878	#2965	—	71	1	no	—
879	#2965	—	71	1	no	—
880	#2962	—	71	1	no	—
881	#2960	—	71	1	no	—
882	D₄×M₁₆	—	71	1	no	—
883	#2933	—	71	1	no	—
884	#2933	—	71	1	no	—
885	#2930	—	71	1	no	—
886	#2930	—	71	1	no	—
887	C₂×#436	—	71	1	no	—
888	#2925	—	71	1	no	—
889	#2924	—	71	1	no	—
890	#2924	—	71	1	no	—
891	C₄×#131	—	71	1	no	—
892	#2873	—	71	1	no	—
893	#2873	—	71	1	no	—
894	C₇₁	#60217	1	1	yes	characteristic, complemented, Sylow
895	C₂×#131	—	71	1	no	—
896	C₂×#131	—	71	1	no	—
897	C₂²×M₁₆	—	71	1	no	—
898	C₂²×M₁₆	—	71	1	no	—
899	C₂²×M₁₆	—	71	1	no	—
900	C₂²×M₁₆	—	71	1	no	—
901	#556	—	71	1	no	—
902	#555	—	71	1	no	—
903	#554	—	71	1	no	—
904	#553	—	71	1	no	—
905	#553	—	71	1	no	—
906	#552	—	71	1	no	—
907	#552	—	71	1	no	—
908	#552	—	71	1	no	—
909	#552	—	71	1	no	—
910	#551	—	71	1	no	—
911	#551	—	71	1	no	—
912	#551	—	71	1	no	—
913	#551	—	71	1	no	—
914	#547	—	71	1	no	—
915	#546	—	71	1	no	—
916	#546	—	71	1	no	—
917	#533	—	71	1	no	—
918	#529	—	71	1	no	—
919	#529	—	71	1	no	—
920	#529	—	71	1	no	—
921	#529	—	71	1	no	—
922	#529	—	71	1	no	—
923	#529	C₂×D₇₁	1	1	yes	characteristic
924	#525	—	71	1	no	—
925	#525	—	71	1	no	—
926	C₄×#41	—	71	1	no	—
927	C₄×#41	—	71	1	no	—
928	C₄×#41	—	71	1	no	—
929	C₂×C₄×D₄	—	71	1	no	—
930	C₂×#117	—	71	1	no	—
931	C₂×#117	—	71	1	no	—
932	#446	—	71	1	no	—
933	#446	—	71	1	no	—
934	#446	—	71	1	no	—
935	#446	—	71	1	no	—
936	#446	—	71	1	no	—
937	#446	—	71	1	no	—
938	#446	—	71	1	no	—
939	#446	—	71	1	no	—
940	#446	—	71	1	no	—
941	#446	C₂×D₇₁	1	1	yes	characteristic, complemented
942	C₈×Q₈	—	71	1	no	—
943	C₈×Q₈	—	71	1	no	—
944	C₈×Q₈	—	71	1	no	—
945	C₈×Q₈	—	71	1	no	—
946	C₈×Q₈	—	71	1	no	—
947	C₈×Q₈	C₂×D₇₁	1	1	yes	characteristic, complemented
948	#436	—	71	1	no	—
949	#436	—	71	1	no	—
950	#436	—	71	1	no	—
951	#436	—	71	1	no	—
952	#436	—	71	1	no	—
953	#436	—	71	1	no	—
954	#436	—	71	1	no	—
955	#436	—	71	1	no	—
956	#436	—	71	1	no	—
957	#436	—	71	1	no	—
958	#436	—	71	1	no	—
959	#436	—	71	1	no	—
960	#436	—	71	1	no	—
961	#436	—	71	1	no	—
962	#436	—	71	1	no	—
963	#436	—	71	1	no	—
964	#436	—	71	1	no	—
965	#436	—	71	1	no	—
966	#436	—	71	1	no	—
967	#436	C₂×D₇₁	1	1	yes	characteristic
968	#436	C₂×D₇₁	1	1	yes	characteristic, complemented
969	#436	C₂×D₇₁	1	1	yes	characteristic, complemented
970	#435	—	71	1	no	—
971	#435	—	71	1	no	—
972	#435	—	71	1	no	—
973	#435	—	71	1	no	—
974	#435	—	71	1	no	—
975	#435	—	71	1	no	—
976	#435	—	71	1	no	—
977	#435	—	71	1	no	—
978	#435	—	71	1	no	—
979	#435	—	71	1	no	—
980	#435	—	71	1	no	—
981	#435	—	71	1	no	—
982	#435	—	71	1	no	—
983	#435	—	71	1	no	—
984	#435	—	71	1	no	—
985	#435	—	71	1	no	—
986	#435	—	71	1	no	—
987	#435	—	71	1	no	—
988	#435	C₂×D₇₁	1	1	yes	characteristic
989	#435	C₂×D₇₁	1	1	yes	characteristic, complemented
990	C₈×D₄	—	71	1	no	—
991	C₈×D₄	—	71	1	no	—
992	C₈×D₄	—	71	1	no	—
993	C₈×D₄	—	71	1	no	—
994	C₈×D₄	—	71	1	no	—
995	C₈×D₄	C₂×D₇₁	1	1	yes	characteristic, complemented
996	#433	—	71	1	no	—
997	#433	—	71	1	no	—
998	#433	—	71	1	no	—
999	#433	—	71	1	no	—
1000	#433	—	71	1	no	—
1001	#433	—	71	1	no	—
1002	#433	—	71	1	no	—
1003	#433	—	71	1	no	—
1004	#433	—	71	1	no	—
1005	#433	—	71	1	no	—
1006	#433	C₂×D₇₁	1	1	yes	characteristic, complemented
1007	#433	C₂×D₇₁	1	1	yes	characteristic, complemented
1008	#432	—	71	1	no	—
1009	#432	—	71	1	no	—
1010	#432	—	71	1	no	—
1011	#432	—	71	1	no	—
1012	#432	—	71	1	no	—
1013	#432	—	71	1	no	—
1014	#431	—	71	1	no	—
1015	#431	—	71	1	no	—
1016	#431	—	71	1	no	—
1017	#431	—	71	1	no	—
1018	#431	—	71	1	no	—
1019	#431	C₂×D₇₁	1	1	yes	characteristic, complemented
1020	#424	—	71	1	no	—
1021	#424	—	71	1	no	—
1022	#424	—	71	1	no	—
1023	#424	—	71	1	no	—
1024	#423	—	71	1	no	—
1025	C₂×C₄⋊C₈	—	71	1	no	—
1026	#408	—	71	1	no	—
1027	#408	—	71	1	no	—
1028	#407	—	71	1	no	—
1029	#407	—	71	1	no	—
1030	C₂×C₂²⋊C₈	—	71	1	no	—
1031	C₂×C₂²⋊C₈	—	71	1	no	—
1032	#405	—	71	1	no	—
1033	#405	—	71	1	no	—
1034	#405	—	71	1	no	—
1035	#405	—	71	1	no	—
1036	#405	—	71	1	no	—
1037	#405	—	71	1	no	—
1038	#405	—	71	1	no	—
1039	#405	—	71	1	no	—
1040	#405	—	71	1	no	—
1041	#405	—	71	1	no	—
1042	#405	—	71	1	no	—
1043	#405	—	71	1	no	—
1044	#405	—	71	1	no	—
1045	#405	—	71	1	no	—
1046	#405	—	71	1	no	—
1047	#405	—	71	1	no	—
1048	#405	—	71	1	no	—
1049	#405	—	71	1	no	—
1050	#405	C₂×D₇₁	1	1	yes	characteristic, complemented
1051	#405	C₂×D₇₁	1	1	yes	characteristic, complemented
1052	C₄×M₁₆	—	71	1	no	—
1053	C₄×M₁₆	—	71	1	no	—
1054	C₄×M₁₆	—	71	1	no	—
1055	C₄×M₁₆	—	71	1	no	—
1056	C₄×M₁₆	—	71	1	no	—
1057	C₄×M₁₆	—	71	1	no	—
1058	C₄×M₁₆	—	71	1	no	—
1059	C₄×M₁₆	—	71	1	no	—
1060	C₄×M₁₆	—	71	1	no	—
1061	C₄×M₁₆	—	71	1	no	—
1062	C₄×M₁₆	C₂×D₇₁	1	1	yes	characteristic, complemented
1063	C₂×C₄×C₈	—	71	1	no	—
1064	C₂×C₄×C₈	—	71	1	no	—
1065	C₂×C₄×C₈	—	71	1	no	—
1066	C₂×#41	—	71	1	no	—
1067	C₂×#41	—	71	1	no	—
1068	C₂×#41	—	71	1	no	—
1069	C₂²×D₄	—	71	1	no	—
1070	C₂³×C₄	—	71	1	no	—
1071	C₂³×C₄	—	71	1	no	—
1072	#131	—	142	4	no	—
1073	#131	—	142	4	no	—
1074	C₂×M₁₆	—	71	1	no	—
1075	C₂×M₁₆	—	71	1	no	—
1076	C₂×M₁₆	—	71	1	no	—
1077	C₂×M₁₆	—	71	1	no	—
1078	C₂×M₁₆	—	71	1	no	—
1079	C₂×M₁₆	—	71	1	no	—
1080	C₂×M₁₆	—	71	1	no	—
1081	C₂×M₁₆	—	71	1	no	—
1082	C₂×M₁₆	—	71	1	no	—
1083	C₂×M₁₆	—	71	1	no	—
1084	C₂×M₁₆	—	71	1	no	—
1085	C₂×M₁₆	—	71	1	no	—
1086	C₂×M₁₆	—	71	1	no	—
1087	C₂×M₁₆	—	71	1	no	—
1088	C₂×M₁₆	—	71	1	no	—
1089	C₂×M₁₆	—	71	1	no	—
1090	C₂×M₁₆	—	142	4	no	—
1091	C₂×M₁₆	—	142	4	no	—
1092	C₂×M₁₆	—	142	4	no	—
1093	C₂×M₁₆	—	142	4	no	—
1094	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1095	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1096	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1097	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
1098	C₂²×C₈	—	71	1	no	—
1099	C₂²×C₈	—	71	1	no	—
1100	C₂²×C₈	—	71	1	no	—
1101	C₂²×C₈	—	71	1	no	—
1102	C₂²×C₈	—	71	1	no	—
1103	C₂²×C₈	—	71	1	no	—
1104	C₂²×C₈	—	71	1	no	—
1105	C₂²×C₈	—	71	1	no	—
1106	C₂²×C₈	—	71	1	no	—
1107	C₂²×C₈	—	71	1	no	—
1108	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1109	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
1110	C₄⋊Q₈	—	71	1	no	—
1111	C₄⋊Q₈	—	71	1	no	—
1112	#126	—	71	1	no	—
1113	#126	—	71	1	no	—
1114	#126	—	71	1	no	—
1115	#126	—	71	1	no	—
1116	#126	—	71	1	no	—
1117	#126	—	71	1	no	—
1118	#126	—	71	1	no	—
1119	#126	—	71	1	no	—
1120	#126	—	71	1	no	—
1121	#126	—	71	1	no	—
1122	#126	C₄×D₇₁	1	1	yes	characteristic
1123	#126	C₄×D₇₁	1	1	yes	characteristic
1124	#125	—	71	1	no	—
1125	#125	—	71	1	no	—
1126	#125	—	71	1	no	—
1127	#125	—	71	1	no	—
1128	#125	—	71	1	no	—
1129	#125	—	71	1	no	—
1130	#125	—	71	1	no	—
1131	#125	C₄×D₇₁	1	1	yes	characteristic
1132	#124	—	71	1	no	—
1133	#124	—	71	1	no	—
1134	#124	—	71	1	no	—
1135	#124	—	71	1	no	—
1136	#124	—	71	1	no	—
1137	#124	C₄×D₇₁	1	1	yes	characteristic
1138	#123	—	71	1	no	—
1139	#123	—	71	1	no	—
1140	#123	—	71	1	no	—
1141	#123	—	71	1	no	—
1142	#123	—	71	1	no	—
1143	#123	—	71	1	no	—
1144	#123	—	71	1	no	—
1145	#123	—	71	1	no	—
1146	#123	—	71	1	no	—
1147	#123	—	71	1	no	—
1148	#123	—	71	1	no	—
1149	#123	—	71	1	no	—
1150	#123	—	71	1	no	—
1151	#123	—	71	1	no	—
1152	#123	C₄×D₇₁	1	1	yes	characteristic
1153	#123	C₄×D₇₁	1	1	yes	characteristic
1154	C₂²⋊Q₈	—	71	1	no	—
1155	C₂²⋊Q₈	—	71	1	no	—
1156	C₂²⋊Q₈	—	71	1	no	—
1157	C₂²⋊Q₈	—	71	1	no	—
1158	C₂²⋊Q₈	—	71	1	no	—
1159	C₂²⋊Q₈	—	71	1	no	—
1160	C₂²⋊Q₈	—	71	1	no	—
1161	C₂²⋊Q₈	—	71	1	no	—
1162	C₂²⋊Q₈	—	71	1	no	—
1163	C₂²⋊Q₈	—	71	1	no	—
1164	C₂²⋊Q₈	—	71	1	no	—
1165	C₂²⋊Q₈	—	71	1	no	—
1166	C₂²⋊Q₈	—	71	1	no	—
1167	C₂²⋊Q₈	C₄×D₇₁	1	1	yes	characteristic
1168	#121	—	71	1	no	—
1169	#121	—	71	1	no	—
1170	#121	—	71	1	no	—
1171	#121	—	71	1	no	—
1172	#121	—	71	1	no	—
1173	#121	—	71	1	no	—
1174	#121	—	71	1	no	—
1175	#121	—	71	1	no	—
1176	#121	—	71	1	no	—
1177	#121	C₄×D₇₁	1	1	yes	characteristic
1178	#120	—	71	1	no	—
1179	#120	—	71	1	no	—
1180	#120	—	71	1	no	—
1181	#120	—	71	1	no	—
1182	C₄×Q₈	—	71	1	no	—
1183	C₄×Q₈	—	71	1	no	—
1184	C₄×Q₈	—	71	1	no	—
1185	C₄×Q₈	—	71	1	no	—
1186	C₄×Q₈	—	71	1	no	—
1187	C₄×Q₈	—	71	1	no	—
1188	C₄×Q₈	—	71	1	no	—
1189	C₄×Q₈	C₂²×D₇₁	1	1	yes	characteristic
1190	C₄×D₄	—	71	1	no	—
1191	C₄×D₄	—	71	1	no	—
1192	C₄×D₄	—	71	1	no	—
1193	C₄×D₄	—	71	1	no	—
1194	C₄×D₄	—	71	1	no	—
1195	C₄×D₄	—	71	1	no	—
1196	C₄×D₄	—	71	1	no	—
1197	C₄×D₄	—	71	1	no	—
1198	C₄×D₄	—	71	1	no	—
1199	C₄×D₄	—	71	1	no	—
1200	C₄×D₄	—	71	1	no	—
1201	C₄×D₄	—	71	1	no	—
1202	C₄×D₄	—	71	1	no	—
1203	C₄×D₄	—	71	1	no	—
1204	C₄×D₄	—	71	1	no	—
1205	C₄×D₄	—	71	1	no	—
1206	C₄×D₄	—	71	1	no	—
1207	C₄×D₄	—	71	1	no	—
1208	C₄×D₄	—	71	1	no	—
1209	C₄×D₄	—	71	1	no	—
1210	C₄×D₄	—	71	1	no	—
1211	C₄×D₄	—	71	1	no	—
1212	C₄×D₄	—	71	1	no	—
1213	C₄×D₄	—	71	1	no	—
1214	C₄×D₄	—	71	1	no	—
1215	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1216	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1217	C₄×D₄	C₂²×D₇₁	1	1	yes	characteristic
1218	#117	—	71	1	no	—
1219	#117	—	71	1	no	—
1220	#117	—	71	1	no	—
1221	#117	—	71	1	no	—
1222	#117	—	71	1	no	—
1223	#117	—	71	1	no	—
1224	#117	—	71	1	no	—
1225	#117	—	71	1	no	—
1226	#117	—	71	1	no	—
1227	#117	—	71	1	no	—
1228	#117	—	71	1	no	—
1229	#117	—	71	1	no	—
1230	#117	—	71	1	no	—
1231	#117	—	71	1	no	—
1232	#117	—	71	1	no	—
1233	#117	—	71	1	no	—
1234	#117	—	71	1	no	—
1235	#117	—	71	1	no	—
1236	#117	—	71	1	no	—
1237	#117	—	71	1	no	—
1238	#117	—	71	1	no	—
1239	#117	C₂²×D₇₁	1	1	yes	characteristic
1240	#117	C₂²×D₇₁	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	71	1	no	—
1242	C₂×C₄⋊C₄	—	71	1	no	—
1243	C₂×C₄⋊C₄	—	71	1	no	—
1244	C₂×C₄⋊C₄	—	71	1	no	—
1245	C₂×C₄⋊C₄	—	71	1	no	—
1246	C₂×C₂²⋊C₄	—	71	1	no	—
1247	C₂×C₂²⋊C₄	—	71	1	no	—
1248	C₂×C₂²⋊C₄	—	71	1	no	—
1249	C₂×C₂²⋊C₄	—	71	1	no	—
1250	C₂×C₂²⋊C₄	—	71	1	no	—
1251	C₂×C₂²⋊C₄	—	71	1	no	—
1252	C₂×C₄²	—	71	1	no	—
1253	C₂×C₄²	—	71	1	no	—
1254	C₂×C₄²	—	71	1	no	—
1255	C₂×C₄²	—	71	1	no	—
1256	C₂×C₄²	—	71	1	no	—
1257	C₂×C₄²	—	71	1	no	—
1258	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
1259	C₄⋊C₈	—	71	1	no	—
1260	C₄⋊C₈	—	71	1	no	—
1261	C₄⋊C₈	—	71	1	no	—
1262	C₄⋊C₈	—	71	1	no	—
1263	C₄⋊C₈	—	71	1	no	—
1264	C₄⋊C₈	—	71	1	no	—
1265	C₄⋊C₈	—	71	1	no	—
1266	C₄⋊C₈	—	71	1	no	—
1267	C₄⋊C₈	—	71	1	no	—
1268	C₄⋊C₈	—	71	1	no	—
1269	C₄⋊C₈	—	71	1	no	—
1270	C₄⋊C₈	—	71	1	no	—
1271	C₄⋊C₈	—	71	1	no	—
1272	C₄⋊C₈	—	71	1	no	—
1273	C₄⋊C₈	—	71	1	no	—
1274	C₄⋊C₈	—	71	1	no	—
1275	C₄⋊C₈	—	71	1	no	—
1276	C₄⋊C₈	—	71	1	no	—
1277	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1278	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1279	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1280	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1281	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1282	C₄⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1283	C₂²⋊C₈	—	71	1	no	—
1284	C₂²⋊C₈	—	71	1	no	—
1285	C₂²⋊C₈	—	71	1	no	—
1286	C₂²⋊C₈	—	71	1	no	—
1287	C₂²⋊C₈	—	71	1	no	—
1288	C₂²⋊C₈	—	71	1	no	—
1289	C₂²⋊C₈	—	71	1	no	—
1290	C₂²⋊C₈	—	71	1	no	—
1291	C₂²⋊C₈	—	71	1	no	—
1292	C₂²⋊C₈	—	71	1	no	—
1293	C₂²⋊C₈	—	71	1	no	—
1294	C₂²⋊C₈	—	71	1	no	—
1295	C₂²⋊C₈	—	71	1	no	—
1296	C₂²⋊C₈	—	71	1	no	—
1297	C₂²⋊C₈	—	71	1	no	—
1298	C₂²⋊C₈	—	71	1	no	—
1299	C₂²⋊C₈	—	71	1	no	—
1300	C₂²⋊C₈	—	71	1	no	—
1301	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1303	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1304	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂²×D₇₁	1	1	yes	characteristic
1307	#97	—	71	1	no	—
1308	#97	—	71	1	no	—
1309	#97	—	71	1	no	—
1310	#97	—	71	1	no	—
1311	#97	—	71	1	no	—
1312	#97	—	71	1	no	—
1313	#97	—	71	1	no	—
1314	#97	—	71	1	no	—
1315	#97	—	71	1	no	—
1316	#97	—	71	1	no	—
1317	#97	—	71	1	no	—
1318	#97	—	71	1	no	—
1319	#97	—	71	1	no	—
1320	#97	—	71	1	no	—
1321	#97	C₂²×D₇₁	1	1	yes	characteristic
1322	#97	C₂²×D₇₁	1	1	yes	characteristic
1323	#97	C₂²×D₇₁	1	1	yes	characteristic
1324	#97	C₂²×D₇₁	1	1	yes	characteristic
1325	C₄×C₈	—	71	1	no	—
1326	C₄×C₈	—	71	1	no	—
1327	C₄×C₈	—	71	1	no	—
1328	C₄×C₈	—	71	1	no	—
1329	C₄×C₈	—	71	1	no	—
1330	C₄×C₈	—	71	1	no	—
1331	C₄×C₈	—	71	1	no	—
1332	C₄×C₈	—	71	1	no	—
1333	C₄×C₈	—	71	1	no	—
1334	C₄×C₈	—	71	1	no	—
1335	C₄×C₈	—	71	1	no	—
1336	C₄×C₈	—	71	1	no	—
1337	C₄×C₈	—	71	1	no	—
1338	C₄×C₈	—	71	1	no	—
1339	C₄×C₈	—	71	1	no	—
1340	C₄×C₈	—	71	1	no	—
1341	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1342	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1343	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1344	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1345	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1346	C₄×C₈	C₂²×D₇₁	1	1	yes	characteristic
1347	C₂⁴	—	71	1	no	—
1348	C₂⁴	—	71	1	no	—
1349	#41	—	284	2	no	—
1350	#41	—	284	2	no	—
1351	#41	—	142	2	no	—
1352	#41	—	142	2	no	—
1353	C₂×Q₈	—	71	1	no	—
1354	C₂×Q₈	—	71	1	no	—
1355	C₂×Q₈	—	71	1	no	—
1356	C₂×Q₈	—	71	1	no	—
1357	C₂×Q₈	C₂×C₄×D₇₁	1	1	yes	characteristic
1358	C₂×D₄	—	284	2	no	—
1359	C₂×D₄	—	71	1	no	—
1360	C₂×D₄	—	71	1	no	—
1361	C₂×D₄	—	71	1	no	—
1362	C₂×D₄	—	71	1	no	—
1363	C₂×D₄	—	71	1	no	—
1364	C₂×D₄	—	71	1	no	—
1365	C₂×D₄	—	71	1	no	—
1366	C₂×D₄	—	71	1	no	—
1367	C₂×D₄	—	71	1	no	—
1368	C₂×D₄	—	71	1	no	—
1369	C₂×D₄	—	71	1	no	—
1370	C₂×D₄	—	71	1	no	—
1371	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1372	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1373	C₂×D₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1374	C₂²×C₄	—	71	1	no	—
1375	C₂²×C₄	—	71	1	no	—
1376	C₂²×C₄	—	71	1	no	—
1377	C₂²×C₄	—	71	1	no	—
1378	C₂²×C₄	—	71	1	no	—
1379	C₂²×C₄	—	71	1	no	—
1380	C₂²×C₄	—	71	1	no	—
1381	C₂²×C₄	—	71	1	no	—
1382	C₂²×C₄	—	71	1	no	—
1383	C₂²×C₄	—	71	1	no	—
1384	C₂²×C₄	—	71	1	no	—
1385	C₂²×C₄	—	71	1	no	—
1386	C₂²×C₄	—	71	1	no	—
1387	C₂²×C₄	—	71	1	no	—
1388	C₂²×C₄	—	71	1	no	—
1389	C₂²×C₄	—	71	1	no	—
1390	C₂²×C₄	—	71	1	no	—
1391	C₂²×C₄	—	71	1	no	—
1392	C₂²×C₄	—	71	1	no	—
1393	C₂²×C₄	—	71	1	no	—
1394	C₂²×C₄	—	71	1	no	—
1395	C₂²×C₄	—	71	1	no	—
1396	C₂²×C₄	—	142	2	no	—
1397	C₂²×C₄	—	142	2	no	—
1398	C₂²×C₄	—	142	2	no	—
1399	C₂²×C₄	—	142	2	no	—
1400	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1401	C₂²×C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1402	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1403	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1404	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1405	M₁₆	—	2	2	no	—
1406	M₁₆	—	2	2	no	—
1407	M₁₆	—	2	2	no	—
1408	M₁₆	—	2	2	no	—
1409	M₁₆	—	71	4	no	—
1410	M₁₆	—	142	2	no	—
1411	M₁₆	—	142	2	no	—
1412	M₁₆	—	142	2	no	—
1413	M₁₆	—	142	2	no	—
1414	M₁₆	—	142	2	no	—
1415	M₁₆	—	142	2	no	—
1416	M₁₆	—	142	2	no	—
1417	M₁₆	—	142	2	no	—
1418	M₁₆	—	142	2	no	—
1419	M₁₆	—	142	2	no	—
1420	M₁₆	—	142	2	no	—
1421	M₁₆	—	142	2	no	—
1422	M₁₆	—	142	2	no	—
1423	M₁₆	—	142	2	no	—
1424	M₁₆	—	142	2	no	—
1425	C₂×C₈	—	2	2	no	—
1426	C₂×C₈	—	2	2	no	—
1427	C₂×C₈	—	71	1	no	—
1428	C₂×C₈	—	71	1	no	—
1429	C₂×C₈	—	71	4	no	—
1430	C₂×C₈	—	71	1	no	—
1431	C₂×C₈	—	71	1	no	—
1432	C₂×C₈	—	71	1	no	—
1433	C₂×C₈	—	71	1	no	—
1434	C₂×C₈	—	71	1	no	—
1435	C₂×C₈	—	71	1	no	—
1436	C₂×C₈	—	142	2	no	—
1437	C₂×C₈	—	142	2	no	—
1438	C₂×C₈	—	142	2	no	—
1439	C₂×C₈	—	142	2	no	—
1440	C₂×C₈	—	142	2	no	—
1441	C₂×C₈	—	142	2	no	—
1442	C₂×C₈	—	142	2	no	—
1443	C₂×C₈	—	142	2	no	—
1444	C₂×C₈	—	142	2	no	—
1445	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1446	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1447	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1448	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1449	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1450	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1451	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1452	C₂×C₈	C₂³×D₇₁	1	1	yes	characteristic
1453	C₄⋊C₄	—	71	1	no	—
1454	C₄⋊C₄	—	71	1	no	—
1455	C₄⋊C₄	—	71	1	no	—
1456	C₄⋊C₄	—	71	1	no	—
1457	C₄⋊C₄	—	71	1	no	—
1458	C₄⋊C₄	—	71	1	no	—
1459	C₄⋊C₄	—	71	1	no	—
1460	C₄⋊C₄	—	71	1	no	—
1461	C₄⋊C₄	—	71	1	no	—
1462	C₄⋊C₄	—	71	1	no	—
1463	C₄⋊C₄	—	71	1	no	—
1464	C₄⋊C₄	—	71	1	no	—
1465	C₄⋊C₄	—	71	1	no	—
1466	C₄⋊C₄	—	71	1	no	—
1467	C₄⋊C₄	—	71	1	no	—
1468	C₄⋊C₄	—	71	1	no	—
1469	C₄⋊C₄	—	71	1	no	—
1470	C₄⋊C₄	—	71	1	no	—
1471	C₄⋊C₄	—	71	1	no	—
1472	C₄⋊C₄	—	71	1	no	—
1473	C₄⋊C₄	—	71	1	no	—
1474	C₄⋊C₄	—	71	1	no	—
1475	C₄⋊C₄	—	71	1	no	—
1476	C₄⋊C₄	—	71	1	no	—
1477	C₄⋊C₄	—	71	1	no	—
1478	C₄⋊C₄	—	71	1	no	—
1479	C₄⋊C₄	—	71	1	no	—
1480	C₄⋊C₄	—	71	1	no	—
1481	C₄⋊C₄	—	71	1	no	—
1482	C₄⋊C₄	—	71	1	no	—
1483	C₄⋊C₄	—	71	1	no	—
1484	C₄⋊C₄	—	71	1	no	—
1485	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1486	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1487	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1495	C₂²⋊C₄	—	71	1	no	—
1496	C₂²⋊C₄	—	71	1	no	—
1497	C₂²⋊C₄	—	71	1	no	—
1498	C₂²⋊C₄	—	71	1	no	—
1499	C₂²⋊C₄	—	71	1	no	—
1500	C₂²⋊C₄	—	71	1	no	—
1501	C₂²⋊C₄	—	71	1	no	—
1502	C₂²⋊C₄	—	71	1	no	—
1503	C₂²⋊C₄	—	71	1	no	—
1504	C₂²⋊C₄	—	71	1	no	—
1505	C₂²⋊C₄	—	71	1	no	—
1506	C₂²⋊C₄	—	71	1	no	—
1507	C₂²⋊C₄	—	71	1	no	—
1508	C₂²⋊C₄	—	71	1	no	—
1509	C₂²⋊C₄	—	71	1	no	—
1510	C₂²⋊C₄	—	71	1	no	—
1511	C₂²⋊C₄	—	71	1	no	—
1512	C₂²⋊C₄	—	71	1	no	—
1513	C₂²⋊C₄	—	71	1	no	—
1514	C₂²⋊C₄	—	71	1	no	—
1515	C₂²⋊C₄	—	71	1	no	—
1516	C₂²⋊C₄	—	71	1	no	—
1517	C₂²⋊C₄	—	71	1	no	—
1518	C₂²⋊C₄	—	71	1	no	—
1519	C₂²⋊C₄	—	71	1	no	—
1520	C₂²⋊C₄	—	71	1	no	—
1521	C₂²⋊C₄	—	71	1	no	—
1522	C₂²⋊C₄	—	71	1	no	—
1523	C₂²⋊C₄	—	71	1	no	—
1524	C₂²⋊C₄	—	71	1	no	—
1525	C₂²⋊C₄	—	71	1	no	—
1526	C₂²⋊C₄	—	71	1	no	—
1527	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1532	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1533	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1534	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1535	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1536	C₂²⋊C₄	C₂×C₄×D₇₁	1	1	yes	characteristic
1537	C₄²	—	71	1	no	—
1538	C₄²	—	71	1	no	—
1539	C₄²	—	71	1	no	—
1540	C₄²	—	71	1	no	—
1541	C₄²	—	71	1	no	—
1542	C₄²	—	71	1	no	—
1543	C₄²	—	71	1	no	—
1544	C₄²	—	71	1	no	—
1545	C₄²	—	71	1	no	—
1546	C₄²	—	71	1	no	—
1547	C₄²	—	71	1	no	—
1548	C₄²	—	71	1	no	—
1549	C₄²	—	71	1	no	—
1550	C₄²	—	71	1	no	—
1551	C₄²	—	71	1	no	—
1552	C₄²	—	71	1	no	—
1553	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1554	C₄²	C₂×C₄×D₇₁	1	1	yes	characteristic
1555	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1556	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1557	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1558	C₄²	C₂³×D₇₁	1	1	yes	characteristic
1559	C₂³	—	284	1	no	—
1560	C₂³	—	284	1	no	—
1561	C₂³	—	284	1	no	—
1562	C₂³	—	284	1	no	—
1563	C₂³	—	71	1	no	—
1564	C₂³	—	71	1	no	—
1565	C₂³	—	71	1	no	—
1566	C₂³	—	71	1	no	—
1567	C₂³	—	142	2	no	—
1568	C₂³	—	142	2	no	—
1569	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1570	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1571	C₂³	C₂²×C₄×D₇₁	1	1	yes	characteristic
1572	Q₈	—	4	1	no	—
1573	Q₈	—	284	1	no	—
1574	Q₈	—	142	2	no	—
1575	Q₈	—	142	2	no	—
1576	Q₈	—	142	2	no	—
1577	D₄	—	4	1	no	—
1578	D₄	—	4	1	no	—
1579	D₄	—	4	1	no	—
1580	D₄	—	284	1	no	—
1581	D₄	—	284	1	no	—
1582	D₄	—	284	1	no	—
1583	D₄	—	284	1	no	—
1584	D₄	—	284	1	no	—
1585	D₄	—	284	1	no	—
1586	D₄	—	284	1	no	—
1587	D₄	—	142	2	no	—
1588	D₄	—	142	2	no	—
1589	D₄	—	142	2	no	—
1590	D₄	—	142	2	no	—
1591	D₄	—	142	2	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	284	1	no	—
1601	C₂×C₄	—	284	1	no	—
1602	C₂×C₄	—	284	1	no	—
1603	C₂×C₄	—	284	1	no	—
1604	C₂×C₄	—	284	1	no	—
1605	C₂×C₄	—	284	1	no	—
1606	C₂×C₄	—	284	1	no	—
1607	C₂×C₄	—	284	1	no	—
1608	C₂×C₄	—	284	1	no	—
1609	C₂×C₄	—	71	1	no	—
1610	C₂×C₄	—	71	1	no	—
1611	C₂×C₄	—	71	2	no	—
1612	C₂×C₄	—	71	2	no	—
1613	C₂×C₄	—	71	1	no	—
1614	C₂×C₄	—	71	1	no	—
1615	C₂×C₄	—	71	1	no	—
1616	C₂×C₄	—	71	1	no	—
1617	C₂×C₄	—	71	1	no	—
1618	C₂×C₄	—	71	1	no	—
1619	C₂×C₄	—	71	1	no	—
1620	C₂×C₄	—	71	1	no	—
1621	C₂×C₄	—	71	1	no	—
1622	C₂×C₄	—	71	1	no	—
1623	C₂×C₄	—	142	2	no	—
1624	C₂×C₄	—	142	2	no	—
1625	C₂×C₄	—	142	2	no	—
1626	C₂×C₄	—	142	2	no	—
1627	C₂×C₄	—	142	2	no	—
1628	C₂×C₄	—	142	2	no	—
1629	C₂×C₄	—	142	2	no	—
1630	C₂×C₄	—	142	2	no	—
1631	C₂×C₄	—	142	2	no	—
1632	C₂×C₄	—	142	1	no	—
1633	C₂×C₄	—	142	1	no	—
1634	C₂×C₄	—	142	1	no	—
1635	C₂×C₄	—	142	1	no	—
1636	C₂×C₄	—	142	1	no	—
1637	C₂×C₄	—	142	1	no	—
1638	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1643	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1644	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1645	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1646	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1647	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1648	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
1649	C₂×C₄	C₂⁴×D₇₁	1	1	yes	characteristic
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	2	1	no	—
1654	C₈	—	2	1	no	—
1655	C₈	—	2	1	no	—
1656	C₈	—	71	2	no	—
1657	C₈	—	71	2	no	—
1658	C₈	—	142	1	no	—
1659	C₈	—	142	1	no	—
1660	C₈	—	142	1	no	—
1661	C₈	—	142	1	no	—
1662	C₈	—	142	1	no	—
1663	C₈	—	142	1	no	—
1664	C₈	#41×D₇₁	1	2	yes	—
1665	C₈	#41×D₇₁	1	2	yes	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	1	no	—
1675	C₂²	—	568	2	no	—
1676	C₂²	—	568	2	no	—
1677	C₂²	—	71	2	no	—
1678	C₂²	—	142	1	no	—
1679	C₂²	—	142	1	no	—
1680	C₂²	—	142	1	no	—
1681	C₂²	—	142	1	no	—
1682	C₂²	—	142	1	no	—
1683	C₂²	—	142	1	no	—
1684	C₂²	—	142	1	no	—
1685	C₂²	—	142	1	no	—
1686	C₂²	—	142	1	no	—
1687	C₂²	—	142	1	no	—
1688	C₂²	—	142	1	no	—
1689	C₂²	C₂³×C₄×D₇₁	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	1	no	—
1701	C₄	—	71	2	no	—
1702	C₄	—	71	2	no	—
1703	C₄	—	142	1	no	—
1704	C₄	—	142	1	no	—
1705	C₄	—	142	1	no	—
1706	C₄	—	142	1	no	—
1707	C₄	—	142	1	no	—
1708	C₄	—	142	1	no	—
1709	C₄	—	142	1	no	—
1710	C₄	—	142	1	no	—
1711	C₄	—	142	1	no	—
1712	C₄	—	142	1	no	—
1713	C₄	C₂×#41×D₇₁	1	1	yes	characteristic
1714	C₄	C₂×#41×D₇₁	1	1	yes	characteristic
1715	C₂	—	4	1	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	284	1	no	—
1719	C₂	—	284	1	no	—
1720	C₂	—	284	1	no	—
1721	C₂	—	142	2	no	—
1722	C₂	C₄×#41×D₇₁	1	1	yes	characteristic
1723	C₂	#568×D₇₁	1	1	yes	characteristic
1724	C₂	#22603051	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₁
commutator, socle	C₂²×C₇₁	C₂⁴×C₄
Fitting	C₇₁×#2969	C₂
prime radical	#22601892	C₂
cosocle	C₂×C₄×C₇₁	C₂⁵
hypercenter	#2969	D₇₁
hypocenter	C₇₁	#60217
LCS	G ▷ C₂²×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂×C₄ ◁ #2969

Complements

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

N	H ≅ G/N	type
2. #22597358	C₂	semidirect
3. #22597356	C₂	semidirect
4. #22597343	C₂	semidirect
5. #22597340	C₂	semidirect
6. #22597340	C₂	semidirect
7. #22597339	C₂	semidirect
8. #22597339	C₂	semidirect
9. #22597327	C₂	semidirect
10. #22597324	C₂	semidirect
11. #22597323	C₂	semidirect
12. #22597319	C₂	semidirect
13. #22597313	C₂	semidirect
14. #22597308	C₂	semidirect
15. #22597304	C₂	semidirect
16. #22597300	C₂	semidirect
17. #22597285	C₂	semidirect
18. #22597269	C₂	semidirect
19. #22597073	C₂	semidirect
20. #22597063	C₂	semidirect
21. #22597060	C₂	semidirect
22. #22597040	C₂	semidirect
23. #22597040	C₂	semidirect
24. #436×D₇₁	C₂	semidirect
25. #22597003	C₂	semidirect
26. #22596996	C₂	semidirect
27. #22596993	C₂	semidirect
28. #22596762	C₂	semidirect
29. #22596757	C₂	semidirect
30. #22596756	C₂	semidirect
31. C₇₁×#2969	C₂	semidirect
68. #17986130	C₂²	semidirect
69. #17986130	C₂²	semidirect
70. #17986128	C₂²	semidirect
71. #17986128	C₂²	semidirect
72. #17986128	C₂²	semidirect
73. #17986128	C₂²	semidirect
74. #17986127	C₂²	semidirect
75. #17986127	C₂²	semidirect
76. #17986126	C₂²	semidirect
77. C₈×Dic₁₄₂	C₂²	semidirect
78. C₈×Dic₁₄₂	C₂²	semidirect
79. C₈×Dic₁₄₂	C₂²	semidirect
80. C₈×Dic₁₄₂	C₂²	semidirect
81. #17986123	C₂²	semidirect
83. #17986078	C₂²	semidirect
84. #17986078	C₂²	semidirect
85. #17986078	C₂²	semidirect
87. #17986077	C₂²	semidirect
92. #17986075	C₂²	semidirect
93. #17986075	C₂²	semidirect
94. #17986075	C₂²	semidirect
95. #17986075	C₂²	semidirect
96. #17986075	C₂²	semidirect
100. #17986074	C₂²	semidirect
101. #17986073	C₂²	semidirect
102. #17986073	C₂²	semidirect
103. #17986073	C₂²	semidirect
104. #17986073	C₂²	semidirect
106. #17986072	C₂²	semidirect
108. #17986071	C₂²	semidirect
109. #17986071	C₂²	semidirect
110. #17986071	C₂²	semidirect
111. #17986070	C₂²	semidirect
112. #17986070	C₂²	semidirect
114. #17986069	C₂²	semidirect
115. #17986069	C₂²	semidirect
116. #17986069	C₂²	semidirect
117. #17986067	C₂²	semidirect
118. #17986067	C₂²	semidirect
119. #17986064	C₂²	semidirect
121. C₈×C₂²⋊D₇₁	C₂²	semidirect
123. (C₂²⋊D₇₁)⋊C₈	C₂²	semidirect
124. #17986060	C₂²	semidirect
125. #17986060	C₂²	semidirect
126. #17986059	C₂²	semidirect
127. #17986059	C₂²	semidirect
128. #17986059	C₂²	semidirect
129. #17986059	C₂²	semidirect
130. #17986058	C₂²	semidirect
131. #17986058	C₂²	semidirect
132. #17986057	C₂²	semidirect
133. #17986057	C₂²	semidirect
134. #17986056	C₂²	semidirect
135. #17986055	C₂²	semidirect
136. #17986054	C₂²	semidirect
137. #17986054	C₂²	semidirect
138. #17986053	C₂²	semidirect
139. #17986053	C₂²	semidirect
140. #17986051	C₂²	semidirect
141. #17986050	C₂²	semidirect
142. #17986050	C₂²	semidirect
143. #17986049	C₂²	semidirect
144. #17986049	C₂²	semidirect
157. #17985957	C₂²	semidirect
161. #17985956	C₂²	semidirect
162. #17985956	C₂²	semidirect
163. #17985956	C₂²	semidirect
164. #17985955	C₂²	semidirect
165. #17985955	C₂²	semidirect
166. #17985954	C₂²	semidirect
172. #17985953	C₂²	semidirect
173. #17985953	C₂²	semidirect
174. #17985953	C₂²	semidirect
175. C₄×#11765849	C₂²	semidirect
177. #17985951	C₂²	semidirect
178. #17985951	C₂²	semidirect
179. #17985951	C₂²	semidirect
180. M₁₆×Dic₇₁	C₂²	semidirect
181. M₁₆×Dic₇₁	C₂²	semidirect
182. M₁₆×Dic₇₁	C₂²	semidirect
183. C₄×#11765848	C₂²	semidirect
184. C₄×#11765848	C₂²	semidirect
185. C₂×C₈×Dic₇₁	C₂²	semidirect
187. C₄×C₈×D₇₁	C₂²	semidirect
189. #446×C₇₁	C₂²	semidirect
190. C₈×Q₈×C₇₁	C₂²	semidirect
192. #436×C₇₁	C₂²	semidirect
193. #436×C₇₁	C₂²	semidirect
195. #435×C₇₁	C₂²	semidirect
196. C₈×D₄×C₇₁	C₂²	semidirect
197. #433×C₇₁	C₂²	semidirect
198. #433×C₇₁	C₂²	semidirect
199. #431×C₇₁	C₂²	semidirect
200. #405×C₇₁	C₂²	semidirect
201. #405×C₇₁	C₂²	semidirect
202. C₄×M₁₆×C₇₁	C₂²	semidirect
548. #11765848	#41	semidirect
566. C₈×D₇₁	#41	semidirect
871. #2969	D₇₁	semidirect
894. C₇₁	#60217	semidirect
941. #446	C₂×D₇₁	semidirect
947. C₈×Q₈	C₂×D₇₁	semidirect
968. #436	C₂×D₇₁	semidirect
969. #436	C₂×D₇₁	semidirect
989. #435	C₂×D₇₁	semidirect
995. C₈×D₄	C₂×D₇₁	semidirect
1006. #433	C₂×D₇₁	semidirect
1007. #433	C₂×D₇₁	semidirect
1019. #431	C₂×D₇₁	semidirect
1050. #405	C₂×D₇₁	semidirect
1051. #405	C₂×D₇₁	semidirect
1062. C₄×M₁₆	C₂×D₇₁	semidirect

Maximal subgroups

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

subgroup	index
#22601892	2
#22597358	2
#22597356	2
#22597343	2
#22597340	2
#22597339	2
#22597327	2
#22597324	2
#22597323	2
#22597319	2
#22597313	2
#22597308	2
#22597304	2
#22597300	2
#22597285	2
#22597269	2
#22597073	2
#22597063	2
#22597060	2
#22597040	2
#436×D₇₁	2
#22597003	2
#22596996	2
#22596993	2
#22596762	2
#22596757	2
#22596756	2
C₇₁×#2969	2
#60217	71