Subgroups — #32205654

Order 18176.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22596690	C₂	1	1	yes	maximal, characteristic, complemented
2	#22596674	C₂	1	1	yes	maximal, characteristic, complemented
3	#22596226	C₂	1	1	yes	maximal, characteristic, complemented
4	#22596209	C₂	1	1	yes	maximal, characteristic, complemented
5	#22596151	C₂	1	1	yes	maximal, characteristic, complemented
6	#22596119	C₂	1	1	yes	maximal, characteristic, complemented
7	#22596072	C₂	1	1	yes	maximal, characteristic, complemented
8	#22595996	C₂	1	1	yes	maximal, characteristic
9	#22595978	C₂	1	1	yes	maximal, characteristic
10	#22595845	C₂	1	1	yes	maximal, characteristic, complemented
11	#22595706	C₂	1	1	yes	maximal, characteristic, complemented
12	#22595653	C₂	1	1	yes	maximal, characteristic, complemented
13	#22595539	C₂	1	1	yes	maximal, characteristic, complemented
14	#22595459	C₂	1	1	yes	maximal, characteristic
15	#22595162	C₂	1	1	yes	maximal, characteristic, complemented
16	#22595126	C₂	1	1	yes	maximal, characteristic, complemented
17	#22594802	C₂	1	1	yes	maximal, characteristic, complemented
18	#22594256	C₂	1	1	yes	maximal, characteristic
19	#22594256	C₂	1	1	yes	maximal, characteristic
20	#22593807	C₂	1	1	yes	maximal, characteristic, complemented
21	#22593786	C₂	1	1	yes	maximal, characteristic, complemented
22	#22593782	C₂	1	1	yes	maximal, characteristic, complemented
23	#22593757	C₂	1	1	yes	maximal, characteristic, complemented
24	#22593223	C₂	1	1	yes	maximal, characteristic, complemented
25	#22593135	C₂	1	1	yes	maximal, characteristic, complemented
26	#22592552	C₂	1	1	yes	maximal, characteristic, complemented
27	#22592514	C₂	1	1	yes	maximal, characteristic, complemented
28	#22591097	C₂	1	1	yes	maximal, characteristic, complemented
29	#22591090	C₂	1	1	yes	maximal, characteristic, complemented
30	#22590780	C₂	1	1	yes	maximal, characteristic
31	C₇₁×#2702	C₂	1	1	yes	maximal, characteristic
32	C₂×#14556127	C₂²	1	1	yes	characteristic
33	C₂×#14556119	C₂²	1	1	yes	characteristic
34	C₂×#14556105	C₂²	1	1	yes	characteristic
35	C₂×#14556105	C₂²	1	1	yes	characteristic
36	C₂×D₄×Dic₇₁	C₂²	1	1	yes	characteristic
37	C₂×#14556084	C₂²	1	1	yes	characteristic
38	C₂²×C₄×Dic₇₁	C₂²	1	1	yes	characteristic
39	C₇₁⋊#401	C₂²	1	1	yes	characteristic
40	#17985941	C₂²	1	1	yes	characteristic
41	#17985941	C₂²	1	1	yes	characteristic
42	#17985940	C₂²	1	1	yes	characteristic
43	#17985940	C₂²	1	1	yes	characteristic
44	#17985940	C₂²	1	1	yes	characteristic
45	#17985939	C₂²	1	1	yes	characteristic
46	#17985938	C₂²	1	1	yes	characteristic
47	#17985938	C₂²	1	1	yes	characteristic
48	#17985938	C₂²	1	1	yes	characteristic
49	#17985938	C₂²	1	1	yes	characteristic
50	#17985937	C₂²	1	1	yes	characteristic
51	#17985935	C₂²	1	1	yes	characteristic
52	#17985933	C₂²	1	1	yes	characteristic
53	#17985933	C₂²	1	1	yes	characteristic
54	#17985932	C₂²	1	1	yes	characteristic
55	#17985932	C₂²	1	1	yes	characteristic
56	#17985932	C₂²	1	1	yes	characteristic
57	#17985932	C₂²	1	1	yes	characteristic
58	#17985931	C₂²	1	1	yes	characteristic
59	#17985930	C₂²	1	1	yes	characteristic
60	#17985930	C₂²	1	1	yes	characteristic
61	#17985930	C₂²	1	1	yes	characteristic
62	#17985930	C₂²	1	1	yes	characteristic
63	#17985927	C₂²	1	1	yes	characteristic
64	#17985927	C₂²	1	1	yes	characteristic
65	#17985927	C₂²	1	1	yes	characteristic
66	#17985927	C₂²	1	1	yes	characteristic
67	#17985927	C₂²	1	1	yes	characteristic
68	#17985927	C₂²	1	1	yes	characteristic
69	#17985924	C₂²	1	1	yes	characteristic
70	#17985924	C₂²	1	1	yes	characteristic
71	#17985924	C₂²	1	1	yes	characteristic
72	#17985922	C₂²	1	1	yes	characteristic
73	#17985922	C₂²	1	1	yes	characteristic
74	#17985920	C₂²	1	1	yes	characteristic
75	#17985920	C₂²	1	1	yes	characteristic
76	#17985918	C₂²	1	1	yes	characteristic
77	#17985913	C₂²	1	1	yes	characteristic
78	#17985913	C₂²	1	1	yes	characteristic
79	#17985911	C₂²	1	1	yes	characteristic
80	#17985911	C₂²	1	1	yes	characteristic
81	#17985906	C₂²	1	1	yes	characteristic
82	#17985906	C₂²	1	1	yes	characteristic
83	#17985906	C₂²	1	1	yes	characteristic
84	#17985905	C₂²	1	1	yes	characteristic
85	#17985904	C₂²	1	1	yes	characteristic
86	#17985903	C₂²	1	1	yes	characteristic
87	#17985903	C₂²	1	1	yes	characteristic
88	#17985903	C₂²	1	1	yes	characteristic
89	#17985903	C₂²	1	1	yes	characteristic
90	#17985898	C₂²	1	1	yes	characteristic
91	#17985896	C₂²	1	1	yes	characteristic
92	#17985896	C₂²	1	1	yes	characteristic
93	#17985896	C₂²	1	1	yes	characteristic
94	#17985895	C₂²	1	1	yes	characteristic
95	#17985895	C₂²	1	1	yes	characteristic
96	#17985895	C₂²	1	1	yes	characteristic
97	#17985894	C₂²	1	1	yes	characteristic
98	#17985894	C₂²	1	1	yes	characteristic
99	#17985893	C₂²	1	1	yes	characteristic
100	#17985893	C₂²	1	1	yes	characteristic
101	#17985893	C₂²	1	1	yes	characteristic
102	#17985893	C₂²	1	1	yes	characteristic
103	#17985893	C₂²	1	1	yes	characteristic
104	#17985892	C₂²	1	1	yes	characteristic
105	#17985892	C₂²	1	1	yes	characteristic
106	#17985892	C₂²	1	1	yes	characteristic
107	#17985892	C₂²	1	1	yes	characteristic
108	#17985887	C₂²	1	1	yes	characteristic
109	#17985887	C₂²	1	1	yes	characteristic
110	#17985887	C₂²	1	1	yes	characteristic
111	#17985887	C₂²	1	1	yes	characteristic
112	#17985887	C₂²	1	1	yes	characteristic
113	#17985886	C₂²	1	1	yes	characteristic
114	#17985886	C₂²	1	1	yes	characteristic
115	#17985886	C₂²	1	1	yes	characteristic
116	#17985885	C₂²	1	1	yes	characteristic
117	#17985885	C₂²	1	1	yes	characteristic
118	#17985885	C₂²	1	1	yes	characteristic
119	#17985885	C₂²	1	1	yes	characteristic
120	#17985884	C₂²	1	1	yes	characteristic
121	#17985884	C₂²	1	1	yes	characteristic
122	#17985884	C₂²	1	1	yes	characteristic
123	#17985884	C₂²	1	1	yes	characteristic
124	#17985883	C₂²	1	1	yes	characteristic
125	#17985883	C₂²	1	1	yes	characteristic
126	#17985883	C₂²	1	1	yes	characteristic
127	#17985883	C₂²	1	1	yes	characteristic
128	#17985883	C₂²	1	1	yes	characteristic
129	#17985882	C₂²	1	1	yes	characteristic
130	#17985882	C₂²	1	1	yes	characteristic
131	#17985882	C₂²	1	1	yes	characteristic
132	#17985882	C₂²	1	1	yes	characteristic
133	#17985881	C₂²	1	1	yes	characteristic
134	#17985881	C₂²	1	1	yes	characteristic
135	#17985881	C₂²	1	1	yes	characteristic
136	#17985881	C₂²	1	1	yes	characteristic
137	#17985881	C₂²	1	1	yes	characteristic
138	#17985880	C₂²	1	1	yes	characteristic
139	#17985880	C₂²	1	1	yes	characteristic
140	#17985880	C₂²	1	1	yes	characteristic
141	#17985880	C₂²	1	1	yes	characteristic
142	#17985880	C₂²	1	1	yes	characteristic
143	#17985880	C₂²	1	1	yes	characteristic
144	#17985880	C₂²	1	1	yes	characteristic
145	#17985880	C₂²	1	1	yes	characteristic
146	#17985879	C₂²	1	1	yes	characteristic
147	#17985874	C₂²	1	1	yes	characteristic
148	#17985874	C₂²	1	1	yes	characteristic
149	#17985872	C₂²	1	1	yes	characteristic
150	#17985871	C₂²	1	1	yes	characteristic
151	#17985871	C₂²	1	1	yes	characteristic
152	#17985871	C₂²	1	1	yes	characteristic
153	#17985871	C₂²	1	1	yes	characteristic
154	#17985871	C₂²	1	1	yes	characteristic
155	#17985868	C₂²	1	1	yes	characteristic
156	#17985866	C₂²	1	1	yes	characteristic
157	#17985863	C₂²	1	1	yes	characteristic
158	#17985860	C₂²	1	1	yes	characteristic
159	#17985860	C₂²	1	1	yes	characteristic
160	#17985859	C₂²	1	1	yes	characteristic
161	#17985859	C₂²	1	1	yes	characteristic
162	#17985857	C₂²	1	1	yes	characteristic
163	#17985857	C₂²	1	1	yes	characteristic
164	C₄⋊C₄×Dic₇₁	C₂²	1	1	yes	characteristic
165	C₄×Dic₇₁⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₄⋊Dic₇₁	C₂²	1	1	yes	characteristic
167	#17985850	C₂²	1	1	yes	characteristic
168	#17985850	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×Dic₇₁	C₂²	1	1	yes	characteristic
170	C₂²⋊C₄×Dic₇₁	C₂²	1	1	yes	characteristic
171	#17985844	C₂²	1	1	yes	characteristic
172	C₂×#126×C₇₁	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₇₁	C₂²	1	1	yes	characteristic
174	#400×C₇₁	C₂²	1	1	yes	characteristic
175	#398×C₇₁	C₂²	1	1	yes	characteristic
176	#396×C₇₁	C₂²	1	1	yes	characteristic
177	#394×C₇₁	C₂²	1	1	yes	characteristic
178	#394×C₇₁	C₂²	1	1	yes	characteristic
179	#393×C₇₁	C₂²	1	1	yes	characteristic
180	#391×C₇₁	C₂²	1	1	yes	characteristic
181	#389×C₇₁	C₂²	1	1	yes	characteristic
182	#388×C₇₁	C₂²	1	1	yes	characteristic
183	#388×C₇₁	C₂²	1	1	yes	characteristic
184	#388×C₇₁	C₂²	1	1	yes	characteristic
185	#386×C₇₁	C₂²	1	1	yes	characteristic
186	#380×C₇₁	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₄₂	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₄₂	C₂³	1	1	yes	characteristic
189	C₂³×Dic₇₁	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇₁	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇₁	C₂³	1	1	yes	characteristic
192	#14556127	—	4	2	no	—
193	#14556119	—	4	2	no	—
194	#14556105	—	2	4	no	—
195	#14556105	—	2	4	no	—
196	D₄×Dic₇₁	—	2	4	no	—
197	#14556084	—	4	2	no	—
198	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₇₁	C₂³	1	1	yes	characteristic
209	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₇₁⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₇₁	C₂³	1	1	yes	characteristic
246	C₂×C₄×Dic₇₁	—	4	2	no	—
247	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
248	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
249	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
250	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
251	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
252	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
253	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
260	C₇₁⋊#95	C₂³	1	1	yes	characteristic
261	C₇₁⋊#95	C₂³	1	1	yes	characteristic
262	C₇₁⋊#95	C₂³	1	1	yes	characteristic
263	C₇₁⋊#95	C₂³	1	1	yes	characteristic
264	C₇₁⋊#95	C₂³	1	1	yes	characteristic
265	C₇₁⋊#95	C₂³	1	1	yes	characteristic
266	C₇₁⋊#95	C₂³	1	1	yes	characteristic
267	C₇₁⋊#95	C₂³	1	1	yes	characteristic
268	C₇₁⋊#95	C₂³	1	1	yes	characteristic
269	C₇₁⋊#95	C₂³	1	1	yes	characteristic
270	C₇₁⋊#95	C₂³	1	1	yes	characteristic
271	C₇₁⋊#95	C₂³	1	1	yes	characteristic
272	C₇₁⋊#95	C₂³	1	1	yes	characteristic
273	C₇₁⋊#95	C₂³	1	1	yes	characteristic
274	C₇₁⋊#95	C₂³	1	1	yes	characteristic
275	C₇₁⋊#95	C₂³	1	1	yes	characteristic
276	C₇₁⋊#95	C₂³	1	1	yes	characteristic
277	C₇₁⋊#95	C₂³	1	1	yes	characteristic
278	C₇₁⋊#95	C₂³	1	1	yes	characteristic
279	C₇₁⋊#95	C₂³	1	1	yes	characteristic
280	C₇₁⋊#95	C₂³	1	1	yes	characteristic
281	C₇₁⋊#95	C₂³	1	1	yes	characteristic
282	C₇₁⋊#95	C₂³	1	1	yes	characteristic
283	C₇₁⋊#95	C₂³	1	1	yes	characteristic
284	C₇₁⋊#95	C₂³	1	1	yes	characteristic
285	C₇₁⋊#95	C₂³	1	1	yes	characteristic
286	C₇₁⋊#95	C₂³	1	1	yes	characteristic
287	C₇₁⋊#95	C₂³	1	1	yes	characteristic
288	C₇₁⋊#95	C₂³	1	1	yes	characteristic
289	C₇₁⋊#95	C₂³	1	1	yes	characteristic
290	C₇₁⋊#95	C₂³	1	1	yes	characteristic
291	C₇₁⋊#95	C₂³	1	1	yes	characteristic
292	C₇₁⋊#95	C₂³	1	1	yes	characteristic
293	C₇₁⋊#95	C₂³	1	1	yes	characteristic
294	C₇₁⋊#95	C₂³	1	1	yes	characteristic
295	C₇₁⋊#95	C₂³	1	1	yes	characteristic
296	C₇₁⋊#95	C₂³	1	1	yes	characteristic
297	C₇₁⋊#95	C₂³	1	1	yes	characteristic
298	C₇₁⋊#95	C₂³	1	1	yes	characteristic
299	C₇₁⋊#95	C₂³	1	1	yes	characteristic
300	C₇₁⋊#95	C₂³	1	1	yes	characteristic
301	C₇₁⋊#95	C₂³	1	1	yes	characteristic
302	C₇₁⋊#95	C₂³	1	1	yes	characteristic
303	C₇₁⋊#95	C₂³	1	1	yes	characteristic
304	C₇₁⋊#95	C₂³	1	1	yes	characteristic
305	C₇₁⋊#95	C₂³	1	1	yes	characteristic
306	C₇₁⋊#95	C₂³	1	1	yes	characteristic
307	C₇₁⋊#95	C₂³	1	1	yes	characteristic
308	C₇₁⋊#95	C₂³	1	1	yes	characteristic
309	C₇₁⋊#95	C₂³	1	1	yes	characteristic
310	C₇₁⋊#95	C₂³	1	1	yes	characteristic
311	C₇₁⋊#95	C₂³	1	1	yes	characteristic
312	C₇₁⋊#95	C₂³	1	1	yes	characteristic
313	C₇₁⋊#95	C₂³	1	1	yes	characteristic
314	C₂²×Q₈×C₇₁	C₂³	1	1	yes	characteristic
315	C₂²×D₄×C₇₁	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₇₁	C₂³	1	1	yes	characteristic
317	#126×C₇₁	—	4	2	no	—
318	C₂²⋊Q₈×C₇₁	—	4	2	no	—
319	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₇₁	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₇₁	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₇₁	C₂³	1	1	yes	characteristic
341	#95×C₇₁	C₂³	1	1	yes	characteristic
342	#95×C₇₁	C₂³	1	1	yes	characteristic
343	#95×C₇₁	C₂³	1	1	yes	characteristic
344	#95×C₇₁	C₂³	1	1	yes	characteristic
345	#95×C₇₁	C₂³	1	1	yes	characteristic
346	#95×C₇₁	C₂³	1	1	yes	characteristic
347	#95×C₇₁	C₂³	1	1	yes	characteristic
348	#95×C₇₁	C₂³	1	1	yes	characteristic
349	#95×C₇₁	C₂³	1	1	yes	characteristic
350	#95×C₇₁	C₂³	1	1	yes	characteristic
351	C₂×Dic₁₄₂	—	2	2	no	—
352	C₂×Dic₁₄₂	—	2	2	no	—
353	C₂×Dic₁₄₂	—	4	1	no	—
354	C₂×Dic₁₄₂	—	4	1	no	—
355	C₂×Dic₁₄₂	—	4	1	no	—
356	C₂×Dic₁₄₂	—	4	1	no	—
357	C₂²×Dic₇₁	—	2	2	no	—
358	C₂²×Dic₇₁	—	2	2	no	—
359	C₂²×Dic₇₁	—	4	1	no	—
360	C₂²×Dic₇₁	—	4	1	no	—
361	C₂²×Dic₇₁	—	4	1	no	—
362	C₂²×Dic₇₁	—	4	1	no	—
363	C₂²×Dic₇₁	—	4	1	no	—
364	C₂²×Dic₇₁	—	4	1	no	—
365	C₂²×Dic₇₁	#41	1	4	yes	—
366	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₇₁	C₂⁴	1	1	yes	characteristic
382	C₄⋊Dic₇₁	—	2	2	no	—
383	C₄⋊Dic₇₁	—	2	2	no	—
384	C₄⋊Dic₇₁	—	2	2	no	—
385	C₄⋊Dic₇₁	—	2	2	no	—
386	C₄⋊Dic₇₁	—	2	2	no	—
387	C₄⋊Dic₇₁	—	4	1	no	—
388	C₄⋊Dic₇₁	—	4	1	no	—
389	C₄⋊Dic₇₁	—	4	1	no	—
390	C₄⋊Dic₇₁	—	4	1	no	—
391	C₄⋊Dic₇₁	—	4	1	no	—
392	C₄⋊Dic₇₁	—	4	1	no	—
393	Dic₇₁⋊C₄	—	2	2	no	—
394	Dic₇₁⋊C₄	—	2	2	no	—
395	Dic₇₁⋊C₄	—	2	2	no	—
396	Dic₇₁⋊C₄	—	2	2	no	—
397	Dic₇₁⋊C₄	—	2	2	no	—
398	Dic₇₁⋊C₄	—	2	2	no	—
399	Dic₇₁⋊C₄	—	2	2	no	—
400	Dic₇₁⋊C₄	—	2	2	no	—
401	Dic₇₁⋊C₄	—	2	2	no	—
402	Dic₇₁⋊C₄	—	4	1	no	—
403	Dic₇₁⋊C₄	—	4	1	no	—
404	Dic₇₁⋊C₄	—	4	1	no	—
405	Dic₇₁⋊C₄	—	4	1	no	—
406	Dic₇₁⋊C₄	—	4	1	no	—
407	Dic₇₁⋊C₄	—	4	1	no	—
408	Dic₇₁⋊C₄	—	4	1	no	—
409	Dic₇₁⋊C₄	—	4	1	no	—
410	Dic₇₁⋊C₄	—	4	1	no	—
411	Dic₇₁⋊C₄	—	4	1	no	—
412	Dic₇₁⋊C₄	—	4	1	no	—
413	Dic₇₁⋊C₄	—	4	1	no	—
414	Dic₇₁⋊C₄	—	4	1	no	—
415	Dic₇₁⋊C₄	—	4	1	no	—
416	Dic₇₁⋊C₄	—	4	1	no	—
417	C₂²⋊Dic₇₁	—	2	2	no	—
418	C₂²⋊Dic₇₁	—	2	2	no	—
419	C₂²⋊Dic₇₁	—	2	2	no	—
420	C₂²⋊Dic₇₁	—	2	2	no	—
421	C₂²⋊Dic₇₁	—	2	2	no	—
422	C₂²⋊Dic₇₁	—	4	1	no	—
423	C₂²⋊Dic₇₁	—	4	1	no	—
424	C₂²⋊Dic₇₁	—	4	1	no	—
425	C₂²⋊Dic₇₁	—	4	1	no	—
426	C₂²⋊Dic₇₁	—	4	1	no	—
427	C₂²⋊Dic₇₁	—	4	1	no	—
428	C₂²⋊Dic₇₁	—	4	1	no	—
429	C₂²⋊Dic₇₁	—	4	1	no	—
430	C₄×Dic₇₁	—	2	2	no	—
431	C₄×Dic₇₁	—	2	2	no	—
432	C₄×Dic₇₁	—	2	2	no	—
433	C₄×Dic₇₁	—	4	1	no	—
434	C₄×Dic₇₁	—	4	1	no	—
435	C₄×Dic₇₁	—	4	1	no	—
436	C₄×Dic₇₁	—	4	1	no	—
437	C₄×Dic₇₁	—	4	1	no	—
438	C₄×Dic₇₁	—	4	1	no	—
439	C₄×Dic₇₁	—	4	1	no	—
440	C₄×Dic₇₁	—	4	1	no	—
441	C₄×Dic₇₁	—	4	1	no	—
442	C₄×Dic₇₁	—	4	1	no	—
443	C₂⁴×C₇₁	C₂⁴	1	1	yes	characteristic
444	C₂⁴×C₇₁	C₂⁴	1	1	yes	characteristic
445	C₂×Q₈×C₇₁	—	2	2	no	—
446	C₂×Q₈×C₇₁	—	4	1	no	—
447	C₂×Q₈×C₇₁	—	4	1	no	—
448	C₂×D₄×C₇₁	—	2	2	no	—
449	C₂×D₄×C₇₁	—	4	1	no	—
450	C₂×D₄×C₇₁	—	4	1	no	—
451	C₂²×C₄×C₇₁	—	2	2	no	—
452	C₂²×C₄×C₇₁	—	2	2	no	—
453	C₂²×C₄×C₇₁	—	4	1	no	—
454	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
467	C₄⋊C₄×C₇₁	—	2	2	no	—
468	C₄⋊C₄×C₇₁	—	2	2	no	—
469	C₄⋊C₄×C₇₁	—	2	2	no	—
470	C₄⋊C₄×C₇₁	—	4	1	no	—
471	C₄⋊C₄×C₇₁	—	4	1	no	—
472	C₄⋊C₄×C₇₁	—	4	1	no	—
473	C₄⋊C₄×C₇₁	—	4	1	no	—
474	C₄⋊C₄×C₇₁	—	4	1	no	—
475	C₄⋊C₄×C₇₁	—	4	1	no	—
476	C₂²⋊C₄×C₇₁	—	2	2	no	—
477	C₂²⋊C₄×C₇₁	—	2	2	no	—
478	C₂²⋊C₄×C₇₁	—	2	2	no	—
479	C₂²⋊C₄×C₇₁	—	2	2	no	—
480	C₂²⋊C₄×C₇₁	—	4	1	no	—
481	C₂²⋊C₄×C₇₁	—	4	1	no	—
482	C₂²⋊C₄×C₇₁	—	4	1	no	—
483	C₂²⋊C₄×C₇₁	—	4	1	no	—
484	C₂²⋊C₄×C₇₁	—	4	1	no	—
485	C₂²⋊C₄×C₇₁	—	4	1	no	—
486	C₂²⋊C₄×C₇₁	—	4	1	no	—
487	C₄²×C₇₁	—	4	1	no	—
488	C₄²×C₇₁	—	4	1	no	—
489	C₂³×C₇₁	—	2	1	no	—
490	C₂³×C₇₁	—	2	1	no	—
491	C₂³×C₇₁	—	2	1	no	—
492	C₂³×C₇₁	—	2	1	no	—
493	C₂³×C₇₁	—	2	1	no	—
494	C₂³×C₇₁	—	2	1	no	—
495	C₂³×C₇₁	—	2	1	no	—
496	C₂³×C₇₁	—	2	1	no	—
497	C₂³×C₇₁	—	2	1	no	—
498	C₂³×C₇₁	—	2	1	no	—
499	C₂³×C₇₁	—	2	1	no	—
500	C₂³×C₇₁	—	2	1	no	—
501	C₂³×C₇₁	—	2	1	no	—
502	C₂³×C₇₁	C₂×#41	1	2	yes	—
503	C₂³×C₇₁	C₂⁵	1	1	yes	characteristic
504	Q₈×C₇₁	—	8	2	no	—
505	D₄×C₇₁	—	4	4	no	—
506	C₂×C₄×C₇₁	—	2	1	no	—
507	C₂×C₄×C₇₁	—	2	1	no	—
508	C₂×C₄×C₇₁	—	2	1	no	—
509	C₂×C₄×C₇₁	—	2	1	no	—
510	C₂×C₄×C₇₁	—	2	1	no	—
511	C₂×C₄×C₇₁	—	2	1	no	—
512	C₂×C₄×C₇₁	—	2	1	no	—
513	C₂×C₄×C₇₁	—	2	1	no	—
514	C₂×C₄×C₇₁	—	2	1	no	—
515	C₂×C₄×C₇₁	—	2	1	no	—
516	C₂×C₄×C₇₁	—	2	1	no	—
517	C₂×C₄×C₇₁	—	2	1	no	—
518	C₂×C₄×C₇₁	—	2	1	no	—
519	C₂×C₄×C₇₁	—	2	1	no	—
520	C₂×C₄×C₇₁	—	2	1	no	—
521	C₂×C₄×C₇₁	—	2	1	no	—
522	C₂×C₄×C₇₁	—	2	1	no	—
523	C₂×C₄×C₇₁	—	2	1	no	—
524	C₂×C₄×C₇₁	—	2	1	no	—
525	C₂×C₄×C₇₁	—	2	1	no	—
526	C₂×C₄×C₇₁	—	2	1	no	—
527	C₂×C₄×C₇₁	—	2	1	no	—
528	C₂×C₄×C₇₁	—	2	1	no	—
529	C₂×C₄×C₇₁	—	2	1	no	—
530	C₂×C₄×C₇₁	—	2	1	no	—
531	C₂×C₄×C₇₁	—	2	1	no	—
532	C₂×C₄×C₇₁	—	2	1	no	—
533	C₂×C₄×C₇₁	—	2	1	no	—
534	C₂×C₄×C₇₁	—	2	1	no	—
535	C₂×C₄×C₇₁	—	2	1	no	—
536	C₂×C₄×C₇₁	—	2	1	no	—
537	C₂×C₄×C₇₁	—	2	1	no	—
538	C₂×C₄×C₇₁	—	2	1	no	—
539	C₂×C₄×C₇₁	—	2	1	no	—
540	C₂×C₄×C₇₁	—	2	1	no	—
541	C₂×C₄×C₇₁	—	2	1	no	—
542	C₂×C₄×C₇₁	—	2	1	no	—
543	C₂×C₄×C₇₁	—	4	4	no	—
544	C₂×C₄×C₇₁	H(5,𝔽₂)	1	2	yes	—
545	C₂×C₄×C₇₁	2₋¹⁺⁴	1	2	yes	—
546	C₂×Dic₇₁	—	2	1	no	—
547	C₂×Dic₇₁	—	2	1	no	—
548	C₂×Dic₇₁	—	2	1	no	—
549	C₂×Dic₇₁	—	2	1	no	—
550	C₂×Dic₇₁	—	2	1	no	—
551	C₂×Dic₇₁	—	2	1	no	—
552	C₂×Dic₇₁	—	2	1	no	—
553	C₂×Dic₇₁	—	2	1	no	—
554	C₂×Dic₇₁	—	2	1	no	—
555	C₂×Dic₇₁	—	2	1	no	—
556	C₂×Dic₇₁	—	2	1	no	—
557	C₂×Dic₇₁	—	2	1	no	—
558	C₂×Dic₇₁	—	2	1	no	—
559	C₂×Dic₇₁	—	2	1	no	—
560	C₂×Dic₇₁	—	2	1	no	—
561	C₂×Dic₇₁	—	2	1	no	—
562	C₂×Dic₇₁	—	2	1	no	—
563	C₂×Dic₇₁	—	2	1	no	—
564	C₂×Dic₇₁	—	2	1	no	—
565	C₂×Dic₇₁	—	2	1	no	—
566	C₂×Dic₇₁	—	2	1	no	—
567	C₂×Dic₇₁	—	2	1	no	—
568	C₂×Dic₇₁	—	2	1	no	—
569	C₂×Dic₇₁	—	2	1	no	—
570	C₂×Dic₇₁	—	2	1	no	—
571	C₂×Dic₇₁	—	2	1	no	—
572	C₂×Dic₇₁	—	2	1	no	—
573	C₂×Dic₇₁	—	2	1	no	—
574	C₂×Dic₇₁	—	2	1	no	—
575	C₂×Dic₇₁	—	2	1	no	—
576	C₂×Dic₇₁	—	2	1	no	—
577	C₂×Dic₇₁	—	2	1	no	—
578	C₂×Dic₇₁	—	2	1	no	—
579	C₂×Dic₇₁	—	2	1	no	—
580	C₂×Dic₇₁	—	2	1	no	—
581	C₂×Dic₇₁	—	2	1	no	—
582	C₂×Dic₇₁	—	2	1	no	—
583	C₂×Dic₇₁	—	2	1	no	—
584	C₂×Dic₇₁	—	2	1	no	—
585	C₂×Dic₇₁	—	2	1	no	—
586	C₂×Dic₇₁	—	2	1	no	—
587	C₂×Dic₇₁	—	2	1	no	—
588	C₂×Dic₇₁	—	2	1	no	—
589	C₂×Dic₇₁	—	2	1	no	—
590	C₂×Dic₇₁	—	2	1	no	—
591	C₂×Dic₇₁	—	4	4	no	—
592	C₂×Dic₇₁	—	4	4	no	—
593	C₂×Dic₇₁	—	4	4	no	—
594	C₂×Dic₇₁	C₂×#41	1	2	yes	—
595	C₂×Dic₇₁	C₂×#41	1	2	yes	—
596	C₂×Dic₇₁	2₋¹⁺⁴	1	2	yes	—
597	Dic₁₄₂	—	8	2	no	—
598	Dic₁₄₂	—	8	2	no	—
599	C₂²×C₇₁	—	2	2	no	—
600	C₂²×C₇₁	—	2	2	no	—
601	C₂²×C₇₁	—	2	2	no	—
602	C₂²×C₇₁	—	4	1	no	—
603	C₂²×C₇₁	—	4	1	no	—
604	C₂²×C₇₁	—	4	1	no	—
605	C₂²×C₇₁	—	4	1	no	—
606	C₂²×C₇₁	—	4	1	no	—
607	C₂²×C₇₁	—	4	1	no	—
608	C₂²×C₇₁	—	4	1	no	—
609	C₂²×C₇₁	—	4	1	no	—
610	C₂²×C₇₁	—	4	1	no	—
611	C₂²×C₇₁	—	4	1	no	—
612	C₂²×C₇₁	—	4	1	no	—
613	C₂²×C₇₁	C₂²×#41	1	1	yes	characteristic
614	C₂²×C₇₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
615	C₂²×C₇₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
616	C₂²×C₇₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
617	C₂²×C₇₁	#585	1	1	yes	characteristic
618	C₂²×C₇₁	#585	1	1	yes	characteristic
619	C₂²×C₇₁	#585	1	1	yes	characteristic
620	C₄×C₇₁	—	2	2	no	—
621	C₄×C₇₁	—	2	2	no	—
622	C₄×C₇₁	—	4	1	no	—
623	C₄×C₇₁	—	4	1	no	—
624	C₄×C₇₁	—	4	1	no	—
625	C₄×C₇₁	—	4	1	no	—
626	C₄×C₇₁	—	4	1	no	—
627	C₄×C₇₁	—	4	1	no	—
628	C₄×C₇₁	—	4	1	no	—
629	C₄×C₇₁	—	4	1	no	—
630	C₄×C₇₁	—	4	1	no	—
631	C₄×C₇₁	—	4	1	no	—
632	C₄×C₇₁	—	4	1	no	—
633	Dic₇₁	—	2	2	no	—
634	Dic₇₁	—	2	2	no	—
635	Dic₇₁	—	2	2	no	—
636	Dic₇₁	—	4	1	no	—
637	Dic₇₁	—	4	1	no	—
638	Dic₇₁	—	4	1	no	—
639	Dic₇₁	—	4	1	no	—
640	Dic₇₁	—	4	1	no	—
641	Dic₇₁	—	4	1	no	—
642	Dic₇₁	—	4	1	no	—
643	Dic₇₁	—	4	1	no	—
644	Dic₇₁	—	4	1	no	—
645	Dic₇₁	—	4	1	no	—
646	Dic₇₁	—	4	1	no	—
647	Dic₇₁	—	4	1	no	—
648	Dic₇₁	—	4	1	no	—
649	#36772	—	71	1	no	maximal, Sylow
650	C₂×C₇₁	—	4	2	no	—
651	C₂×C₇₁	—	8	1	no	—
652	C₂×C₇₁	#3455	1	1	yes	characteristic
653	C₂×C₇₁	#3505	1	1	yes	characteristic
654	C₂×C₇₁	#3509	1	1	yes	characteristic
655	C₂×C₇₁	#3535	1	1	yes	characteristic
656	C₂×C₇₁	#3541	1	1	yes	characteristic
657	C₂×C₇₁	#3557	1	1	yes	characteristic
658	C₂×C₇₁	#3565	1	1	yes	characteristic
659	#2857	—	71	1	no	—
660	#2855	—	71	1	no	—
661	#2799	—	71	1	no	—
662	#2798	—	71	1	no	—
663	#2793	—	71	1	no	—
664	#2791	—	71	1	no	—
665	#2787	—	71	1	no	—
666	#2781	—	71	1	no	—
667	#2779	—	71	1	no	—
668	#2770	—	71	1	no	—
669	#2759	—	71	1	no	—
670	#2755	—	71	1	no	—
671	#2747	—	71	1	no	—
672	#2741	—	71	1	no	—
673	#2716	—	71	1	no	—
674	#2713	—	71	1	no	—
675	#2702	D₇₁	1	1	yes	characteristic
676	#2690	—	71	1	no	—
677	#2638	—	71	1	no	—
678	#2638	—	71	1	no	—
679	#2590	—	71	1	no	—
680	#2589	—	71	1	no	—
681	#2588	—	71	1	no	—
682	#2587	—	71	1	no	—
683	#2533	—	71	1	no	—
684	#2528	—	71	1	no	—
685	#2478	—	71	1	no	—
686	#2475	—	71	1	no	—
687	#2332	—	71	1	no	—
688	#2332	—	71	1	no	—
689	#2290	—	71	1	no	—
690	C₇₁	#36772	1	1	yes	characteristic, complemented, Sylow
691	C₂×C₄⋊Q₈	—	71	1	no	—
692	C₂×#126	C₂×D₇₁	1	1	yes	characteristic
693	C₂×#125	—	71	1	no	—
694	C₂×C₂²⋊Q₈	—	71	1	no	—
695	C₂×C₂²⋊Q₈	—	71	1	no	—
696	C₂×C₂²⋊Q₈	C₂×D₇₁	1	1	yes	characteristic
697	C₂×C₄×D₄	—	71	1	no	—
698	C₂×#117	—	71	1	no	—
699	C₂²×C₄²	—	71	1	no	—
700	#401	—	71	1	no	—
701	#400	—	71	1	no	—
702	#400	—	71	1	no	—
703	#400	—	71	1	no	—
704	#400	—	71	1	no	—
705	#400	—	71	1	no	—
706	#400	—	71	1	no	—
707	#400	—	71	1	no	—
708	#400	—	71	1	no	—
709	#400	—	71	1	no	—
710	#400	—	71	1	no	—
711	#400	—	71	1	no	—
712	#400	C₂×D₇₁	1	1	yes	characteristic
713	#399	—	71	1	no	—
714	#398	—	71	1	no	—
715	#398	—	71	1	no	—
716	#398	—	71	1	no	—
717	#398	—	71	1	no	—
718	#398	—	71	1	no	—
719	#398	—	71	1	no	—
720	#398	—	71	1	no	—
721	#398	—	71	1	no	—
722	#398	—	71	1	no	—
723	#398	—	71	1	no	—
724	#398	—	71	1	no	—
725	#398	C₂×D₇₁	1	1	yes	characteristic
726	#397	—	71	1	no	—
727	#397	—	71	1	no	—
728	#397	—	71	1	no	—
729	#397	—	71	1	no	—
730	#397	—	71	1	no	—
731	#397	—	71	1	no	—
732	#397	—	71	1	no	—
733	#397	—	71	1	no	—
734	#397	—	71	1	no	—
735	#396	—	71	1	no	—
736	#396	—	71	1	no	—
737	#396	C₂×D₇₁	1	1	yes	characteristic
738	#395	—	71	1	no	—
739	#395	—	71	1	no	—
740	#395	—	71	1	no	—
741	#394	—	71	1	no	—
742	#394	—	71	1	no	—
743	#394	C₂×D₇₁	1	1	yes	characteristic
744	#394	C₂×D₇₁	1	1	yes	characteristic
745	#393	—	71	1	no	—
746	#393	—	71	1	no	—
747	#393	C₂×D₇₁	1	1	yes	characteristic
748	#391	—	71	1	no	—
749	#391	—	71	1	no	—
750	#391	—	71	1	no	—
751	#391	—	71	1	no	—
752	#391	—	71	1	no	—
753	#391	—	71	1	no	—
754	#391	—	71	1	no	—
755	#391	—	71	1	no	—
756	#391	—	71	1	no	—
757	#391	C₂×D₇₁	1	1	yes	characteristic
758	#389	—	71	1	no	—
759	#389	—	71	1	no	—
760	#389	—	71	1	no	—
761	#389	—	71	1	no	—
762	#389	—	71	1	no	—
763	#389	—	71	1	no	—
764	#389	—	71	1	no	—
765	#389	—	71	1	no	—
766	#389	—	71	1	no	—
767	#389	C₂×D₇₁	1	1	yes	characteristic
768	#388	—	71	1	no	—
769	#388	—	71	1	no	—
770	#388	—	71	1	no	—
771	#388	—	71	1	no	—
772	#388	—	71	1	no	—
773	#388	—	71	1	no	—
774	#388	—	71	1	no	—
775	#388	—	71	1	no	—
776	#388	—	71	1	no	—
777	#388	—	71	1	no	—
778	#388	—	71	1	no	—
779	#388	—	71	1	no	—
780	#388	—	71	1	no	—
781	#388	—	71	1	no	—
782	#388	C₂×D₇₁	1	1	yes	characteristic
783	#388	C₂×D₇₁	1	1	yes	characteristic
784	#388	C₂×D₇₁	1	1	yes	characteristic
785	#387	—	71	1	no	—
786	#387	—	71	1	no	—
787	#387	—	71	1	no	—
788	#387	—	71	1	no	—
789	#387	—	71	1	no	—
790	#387	—	71	1	no	—
791	#387	—	71	1	no	—
792	#387	—	71	1	no	—
793	#387	—	71	1	no	—
794	#387	—	71	1	no	—
795	#387	—	71	1	no	—
796	#387	—	71	1	no	—
797	#387	—	71	1	no	—
798	#387	—	71	1	no	—
799	#387	—	71	1	no	—
800	#387	—	71	1	no	—
801	#387	—	71	1	no	—
802	#387	—	71	1	no	—
803	#387	—	71	1	no	—
804	#387	—	71	1	no	—
805	#387	—	71	1	no	—
806	#387	—	71	1	no	—
807	#387	—	71	1	no	—
808	#387	—	71	1	no	—
809	#387	—	71	1	no	—
810	#387	—	71	1	no	—
811	#387	—	71	1	no	—
812	#387	—	71	1	no	—
813	#387	—	71	1	no	—
814	#387	—	71	1	no	—
815	#387	—	71	1	no	—
816	#387	—	71	1	no	—
817	#387	—	71	1	no	—
818	#386	—	71	1	no	—
819	#386	C₂×D₇₁	1	1	yes	characteristic
820	#385	—	71	1	no	—
821	#385	—	71	1	no	—
822	#385	—	71	1	no	—
823	#385	—	71	1	no	—
824	#385	—	71	1	no	—
825	#385	—	71	1	no	—
826	#385	—	71	1	no	—
827	#385	—	71	1	no	—
828	#384	—	71	1	no	—
829	#383	—	71	1	no	—
830	#382	—	71	1	no	—
831	#381	—	71	1	no	—
832	#381	—	71	1	no	—
833	#380	—	71	1	no	—
834	#380	—	71	1	no	—
835	#380	—	71	1	no	—
836	#380	—	71	1	no	—
837	#380	C₂×D₇₁	1	1	yes	characteristic
838	C₄×C₄⋊C₄	—	71	1	no	—
839	C₄×C₄⋊C₄	—	71	1	no	—
840	C₄×C₄⋊C₄	—	71	1	no	—
841	C₄×C₄⋊C₄	—	71	1	no	—
842	C₄×C₄⋊C₄	—	71	1	no	—
843	C₄×C₂²⋊C₄	—	71	1	no	—
844	C₄×C₂²⋊C₄	—	71	1	no	—
845	#376	—	71	1	no	—
846	C₂²×Q₈	—	71	1	no	—
847	C₂²×Q₈	—	71	1	no	—
848	C₂²×Q₈	C₂²×D₇₁	1	1	yes	characteristic
849	C₂²×D₄	C₂²×D₇₁	1	1	yes	characteristic
850	C₂³×C₄	—	71	1	no	—
851	C₂³×C₄	—	71	1	no	—
852	C₂³×C₄	—	71	1	no	—
853	C₂³×C₄	C₂²×D₇₁	1	1	yes	characteristic
854	C₄⋊Q₈	—	284	2	no	—
855	#126	—	4	2	no	—
856	#125	—	284	2	no	—
857	C₂²⋊Q₈	—	4	2	no	—
858	C₂²⋊Q₈	—	142	4	no	—
859	C₂²⋊Q₈	—	142	4	no	—
860	C₄×D₄	—	142	4	no	—
861	#117	—	284	2	no	—
862	C₂×C₄⋊C₄	—	71	1	no	—
863	C₂×C₄⋊C₄	—	71	1	no	—
864	C₂×C₄⋊C₄	—	71	1	no	—
865	C₂×C₄⋊C₄	—	71	1	no	—
866	C₂×C₄⋊C₄	—	71	1	no	—
867	C₂×C₄⋊C₄	—	71	1	no	—
868	C₂×C₄⋊C₄	—	71	1	no	—
869	C₂×C₄⋊C₄	—	71	1	no	—
870	C₂×C₄⋊C₄	—	71	1	no	—
871	C₂×C₄⋊C₄	—	71	1	no	—
872	C₂×C₄⋊C₄	—	71	1	no	—
873	C₂×C₄⋊C₄	—	71	1	no	—
874	C₂×C₄⋊C₄	—	71	1	no	—
875	C₂×C₄⋊C₄	—	71	1	no	—
876	C₂×C₄⋊C₄	—	71	1	no	—
877	C₂×C₄⋊C₄	—	71	1	no	—
878	C₂×C₄⋊C₄	—	71	1	no	—
879	C₂×C₄⋊C₄	—	71	1	no	—
880	C₂×C₄⋊C₄	—	71	1	no	—
881	C₂×C₄⋊C₄	—	71	1	no	—
882	C₂×C₄⋊C₄	—	71	1	no	—
883	C₂×C₄⋊C₄	—	71	1	no	—
884	C₂×C₄⋊C₄	—	71	1	no	—
885	C₂×C₄⋊C₄	—	71	1	no	—
886	C₂×C₄⋊C₄	—	71	1	no	—
887	C₂×C₄⋊C₄	—	71	1	no	—
888	C₂×C₄⋊C₄	—	71	1	no	—
889	C₂×C₄⋊C₄	—	71	1	no	—
890	C₂×C₄⋊C₄	—	71	1	no	—
891	C₂×C₄⋊C₄	—	71	1	no	—
892	C₂×C₄⋊C₄	—	71	1	no	—
893	C₂×C₄⋊C₄	—	71	1	no	—
894	C₂×C₄⋊C₄	—	71	1	no	—
895	C₂×C₄⋊C₄	—	71	1	no	—
896	C₂×C₄⋊C₄	—	71	1	no	—
897	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	—	71	1	no	—
907	C₂×C₂²⋊C₄	—	71	1	no	—
908	C₂×C₂²⋊C₄	—	71	1	no	—
909	C₂×C₂²⋊C₄	—	71	1	no	—
910	C₂×C₂²⋊C₄	—	71	1	no	—
911	C₂×C₂²⋊C₄	—	71	1	no	—
912	C₂×C₂²⋊C₄	—	71	1	no	—
913	C₂×C₂²⋊C₄	—	71	1	no	—
914	C₂×C₂²⋊C₄	—	71	1	no	—
915	C₂×C₂²⋊C₄	—	71	1	no	—
916	C₂×C₂²⋊C₄	—	71	1	no	—
917	C₂×C₂²⋊C₄	—	71	1	no	—
918	C₂×C₂²⋊C₄	—	71	1	no	—
919	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
921	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂²×D₇₁	1	1	yes	characteristic
930	C₂×C₄²	—	284	2	no	—
931	C₂×C₄²	—	71	1	no	—
932	C₂×C₄²	—	71	1	no	—
933	C₂×C₄²	—	71	1	no	—
934	C₂×C₄²	—	71	1	no	—
935	C₂×C₄²	—	71	1	no	—
936	C₂×C₄²	—	71	1	no	—
937	C₂×C₄²	—	71	1	no	—
938	C₂×C₄²	—	71	1	no	—
939	C₂×C₄²	—	71	1	no	—
940	C₂×C₄²	—	71	1	no	—
941	C₂×C₄²	—	71	1	no	—
942	C₂×C₄²	—	71	1	no	—
943	C₂×C₄²	—	71	1	no	—
944	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
945	C₂×C₄²	C₂²×D₇₁	1	1	yes	characteristic
946	#95	—	71	1	no	—
947	#95	—	71	1	no	—
948	#95	—	71	1	no	—
949	#95	—	71	1	no	—
950	#95	—	71	1	no	—
951	#95	—	71	1	no	—
952	#95	—	71	1	no	—
953	#95	—	71	1	no	—
954	#95	—	71	1	no	—
955	#95	—	71	1	no	—
956	#95	—	71	1	no	—
957	#95	—	71	1	no	—
958	#95	—	71	1	no	—
959	#95	—	71	1	no	—
960	#95	—	71	1	no	—
961	#95	—	71	1	no	—
962	#95	—	71	1	no	—
963	#95	—	71	1	no	—
964	#95	—	71	1	no	—
965	#95	—	71	1	no	—
966	#95	—	71	1	no	—
967	#95	—	71	1	no	—
968	#95	—	71	1	no	—
969	#95	—	71	1	no	—
970	#95	—	71	1	no	—
971	#95	—	71	1	no	—
972	#95	—	71	1	no	—
973	#95	—	71	1	no	—
974	#95	—	71	1	no	—
975	#95	—	71	1	no	—
976	#95	—	71	1	no	—
977	#95	—	71	1	no	—
978	#95	—	71	1	no	—
979	#95	—	71	1	no	—
980	#95	—	71	1	no	—
981	#95	—	71	1	no	—
982	#95	—	71	1	no	—
983	#95	—	71	1	no	—
984	#95	—	71	1	no	—
985	#95	—	71	1	no	—
986	#95	—	71	1	no	—
987	#95	—	71	1	no	—
988	#95	—	71	1	no	—
989	#95	—	71	1	no	—
990	#95	—	71	1	no	—
991	#95	—	71	1	no	—
992	#95	—	71	1	no	—
993	#95	—	71	1	no	—
994	#95	—	71	1	no	—
995	#95	—	71	1	no	—
996	#95	—	71	1	no	—
997	#95	—	71	1	no	—
998	#95	—	71	1	no	—
999	#95	—	71	1	no	—
1000	#95	C₂²×D₇₁	1	1	yes	characteristic
1001	#95	C₂²×D₇₁	1	1	yes	characteristic
1002	#95	C₂²×D₇₁	1	1	yes	characteristic
1003	#95	C₂²×D₇₁	1	1	yes	characteristic
1004	#95	C₂²×D₇₁	1	1	yes	characteristic
1005	#95	C₂²×D₇₁	1	1	yes	characteristic
1006	#95	C₂²×D₇₁	1	1	yes	characteristic
1007	#95	C₂²×D₇₁	1	1	yes	characteristic
1008	#95	C₂²×D₇₁	1	1	yes	characteristic
1009	#95	C₂²×D₇₁	1	1	yes	characteristic
1010	C₂⁴	C₂³×D₇₁	1	1	yes	characteristic
1011	C₂⁴	C₂³×D₇₁	1	1	yes	characteristic
1012	C₂×Q₈	—	2	2	no	—
1013	C₂×Q₈	—	4	1	no	—
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×Q₈	—	284	1	no	—
1016	C₂×Q₈	—	284	1	no	—
1017	C₂×Q₈	—	284	1	no	—
1018	C₂×Q₈	—	284	1	no	—
1019	C₂×Q₈	—	142	2	no	—
1020	C₂×Q₈	—	142	2	no	—
1021	C₂×D₄	—	2	2	no	—
1022	C₂×D₄	—	4	1	no	—
1023	C₂×D₄	—	4	1	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	4	1	no	—
1027	C₂²×C₄	—	284	1	no	—
1028	C₂²×C₄	—	284	1	no	—
1029	C₂²×C₄	—	284	1	no	—
1030	C₂²×C₄	—	284	1	no	—
1031	C₂²×C₄	—	284	1	no	—
1032	C₂²×C₄	—	284	1	no	—
1033	C₂²×C₄	—	71	4	no	—
1034	C₂²×C₄	—	71	1	no	—
1035	C₂²×C₄	—	71	1	no	—
1036	C₂²×C₄	—	71	1	no	—
1037	C₂²×C₄	—	71	1	no	—
1038	C₂²×C₄	—	71	1	no	—
1039	C₂²×C₄	—	71	1	no	—
1040	C₂²×C₄	—	71	1	no	—
1041	C₂²×C₄	—	71	1	no	—
1042	C₂²×C₄	—	71	1	no	—
1043	C₂²×C₄	—	71	1	no	—
1044	C₂²×C₄	—	71	1	no	—
1045	C₂²×C₄	—	71	1	no	—
1046	C₂²×C₄	—	71	1	no	—
1047	C₂²×C₄	—	71	1	no	—
1048	C₂²×C₄	—	71	1	no	—
1049	C₂²×C₄	—	71	1	no	—
1050	C₂²×C₄	—	142	2	no	—
1051	C₂²×C₄	—	142	2	no	—
1052	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	284	1	no	—
1075	C₄⋊C₄	—	284	1	no	—
1076	C₄⋊C₄	—	284	1	no	—
1077	C₄⋊C₄	—	284	1	no	—
1078	C₄⋊C₄	—	284	1	no	—
1079	C₄⋊C₄	—	284	1	no	—
1080	C₄⋊C₄	—	284	1	no	—
1081	C₄⋊C₄	—	284	1	no	—
1082	C₄⋊C₄	—	284	1	no	—
1083	C₄⋊C₄	—	284	1	no	—
1084	C₄⋊C₄	—	284	1	no	—
1085	C₄⋊C₄	—	284	1	no	—
1086	C₄⋊C₄	—	284	1	no	—
1087	C₄⋊C₄	—	284	1	no	—
1088	C₄⋊C₄	—	284	1	no	—
1089	C₄⋊C₄	—	284	1	no	—
1090	C₄⋊C₄	—	284	1	no	—
1091	C₄⋊C₄	—	284	1	no	—
1092	C₄⋊C₄	—	284	1	no	—
1093	C₄⋊C₄	—	284	1	no	—
1094	C₄⋊C₄	—	284	1	no	—
1095	C₄⋊C₄	—	142	2	no	—
1096	C₄⋊C₄	—	142	2	no	—
1097	C₄⋊C₄	—	142	2	no	—
1098	C₄⋊C₄	—	142	2	no	—
1099	C₄⋊C₄	—	142	2	no	—
1100	C₄⋊C₄	—	142	2	no	—
1101	C₄⋊C₄	—	142	2	no	—
1102	C₄⋊C₄	—	142	2	no	—
1103	C₄⋊C₄	—	142	2	no	—
1104	C₄⋊C₄	—	142	2	no	—
1105	C₄⋊C₄	—	142	2	no	—
1106	C₄⋊C₄	—	142	2	no	—
1107	C₄⋊C₄	—	142	2	no	—
1108	C₄⋊C₄	—	142	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	2	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	4	1	no	—
1114	C₂²⋊C₄	—	4	1	no	—
1115	C₂²⋊C₄	—	4	1	no	—
1116	C₂²⋊C₄	—	4	1	no	—
1117	C₂²⋊C₄	—	4	1	no	—
1118	C₂²⋊C₄	—	4	1	no	—
1119	C₂²⋊C₄	—	4	1	no	—
1120	C₂²⋊C₄	—	284	1	no	—
1121	C₂²⋊C₄	—	284	1	no	—
1122	C₂²⋊C₄	—	284	1	no	—
1123	C₂²⋊C₄	—	284	1	no	—
1124	C₂²⋊C₄	—	284	1	no	—
1125	C₂²⋊C₄	—	284	1	no	—
1126	C₂²⋊C₄	—	284	1	no	—
1127	C₂²⋊C₄	—	284	1	no	—
1128	C₂²⋊C₄	—	142	2	no	—
1129	C₂²⋊C₄	—	142	2	no	—
1130	C₂²⋊C₄	—	142	2	no	—
1131	C₂²⋊C₄	—	142	2	no	—
1132	C₂²⋊C₄	—	142	2	no	—
1133	C₄²	—	4	1	no	—
1134	C₄²	—	4	1	no	—
1135	C₄²	—	284	1	no	—
1136	C₄²	—	284	1	no	—
1137	C₄²	—	284	1	no	—
1138	C₄²	—	284	1	no	—
1139	C₄²	—	284	1	no	—
1140	C₄²	—	284	1	no	—
1141	C₄²	—	284	1	no	—
1142	C₄²	—	284	1	no	—
1143	C₄²	—	284	1	no	—
1144	C₄²	—	284	1	no	—
1145	C₄²	—	142	2	no	—
1146	C₄²	—	142	2	no	—
1147	C₄²	—	142	2	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	#41×D₇₁	1	2	yes	—
1162	C₂³	C₂⁴×D₇₁	1	1	yes	characteristic
1163	Q₈	—	8	2	no	—
1164	Q₈	—	568	2	no	—
1165	Q₈	—	568	2	no	—
1166	D₄	—	4	4	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	4	4	no	—
1205	C₂×C₄	—	284	4	no	—
1206	C₂×C₄	—	284	4	no	—
1207	C₂×C₄	—	284	4	no	—
1208	C₂×C₄	—	71	2	no	—
1209	C₂×C₄	—	71	2	no	—
1210	C₂×C₄	—	71	2	no	—
1211	C₂×C₄	—	142	1	no	—
1212	C₂×C₄	—	142	1	no	—
1213	C₂×C₄	—	142	1	no	—
1214	C₂×C₄	—	142	1	no	—
1215	C₂×C₄	—	142	1	no	—
1216	C₂×C₄	—	142	1	no	—
1217	C₂×C₄	—	142	1	no	—
1218	C₂×C₄	—	142	1	no	—
1219	C₂×C₄	—	142	1	no	—
1220	C₂×C₄	—	142	1	no	—
1221	C₂×C₄	—	142	1	no	—
1222	C₂×C₄	—	142	1	no	—
1223	C₂×C₄	—	142	1	no	—
1224	C₂×C₄	—	142	1	no	—
1225	C₂×C₄	—	142	1	no	—
1226	C₂×C₄	—	142	1	no	—
1227	C₂×C₄	—	142	1	no	—
1228	C₂×C₄	—	142	1	no	—
1229	C₂×C₄	—	142	1	no	—
1230	C₂×C₄	—	142	1	no	—
1231	C₂×C₄	—	142	1	no	—
1232	C₂×C₄	—	142	1	no	—
1233	C₂×C₄	—	142	1	no	—
1234	C₂×C₄	—	142	1	no	—
1235	C₂×C₄	—	142	1	no	—
1236	C₂×C₄	—	142	1	no	—
1237	C₂×C₄	—	142	1	no	—
1238	C₂×C₄	—	142	1	no	—
1239	C₂×C₄	—	142	1	no	—
1240	C₂×C₄	—	142	1	no	—
1241	C₂×C₄	—	142	1	no	—
1242	C₂×C₄	—	142	1	no	—
1243	C₂×C₄	—	142	1	no	—
1244	C₂×C₄	—	142	1	no	—
1245	C₂×C₄	—	142	1	no	—
1246	C₂×C₄	—	142	1	no	—
1247	C₂×C₄	—	142	1	no	—
1248	C₂×C₄	—	142	1	no	—
1249	C₂×C₄	—	142	1	no	—
1250	C₂×C₄	—	142	1	no	—
1251	C₂×C₄	—	142	1	no	—
1252	C₂×C₄	—	142	1	no	—
1253	C₂×C₄	—	142	1	no	—
1254	C₂×C₄	—	142	1	no	—
1255	C₂×C₄	—	142	1	no	—
1256	C₂×C₄	#14556173	1	2	yes	—
1257	C₂×C₄	#14556175	1	2	yes	—
1258	C₂²	—	2	2	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	4	1	no	—
1262	C₂²	—	4	1	no	—
1263	C₂²	—	4	1	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	4	1	no	—
1270	C₂²	—	4	1	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	C₂×#41×D₇₁	1	1	yes	characteristic
1273	C₂²	C₂×#14556173	1	1	yes	characteristic
1274	C₂²	2₋¹⁺⁴×D₇₁	1	1	yes	characteristic
1275	C₂²	C₂×#14556175	1	1	yes	characteristic
1276	C₂²	#17986834	1	1	yes	characteristic
1277	C₂²	#17986834	1	1	yes	characteristic
1278	C₂²	#17986836	1	1	yes	characteristic
1279	C₄	—	2	2	no	—
1280	C₄	—	2	2	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	284	1	no	—
1293	C₄	—	284	1	no	—
1294	C₄	—	284	1	no	—
1295	C₄	—	284	1	no	—
1296	C₄	—	284	1	no	—
1297	C₄	—	284	1	no	—
1298	C₄	—	284	1	no	—
1299	C₄	—	284	1	no	—
1300	C₄	—	284	1	no	—
1301	C₄	—	284	1	no	—
1302	C₄	—	284	1	no	—
1303	C₄	—	284	1	no	—
1304	C₄	—	284	1	no	—
1305	C₄	—	142	2	no	—
1306	C₄	—	142	2	no	—
1307	C₄	—	142	2	no	—
1308	C₂	—	4	2	no	—
1309	C₂	—	8	1	no	—
1310	C₂	#22601722	1	1	yes	characteristic
1311	C₂	#22602176	1	1	yes	characteristic
1312	C₂	#22602218	1	1	yes	characteristic
1313	C₂	#22602537	1	1	yes	characteristic
1314	C₂	#22602621	1	1	yes	characteristic
1315	C₂	#22602839	1	1	yes	characteristic
1316	C₂	#22602982	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₁
commutator, socle, cosocle	C₂³×C₇₁	C₂⁵
Fitting	C₇₁×#2702	C₂
prime radical	C₂²×D₄×C₇₁	C₂³
hypercenter	#2702	D₇₁
hypocenter	C₇₁	#36772
LCS	G ▷ C₂³×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₂³ ◁ #2702

Complements

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

N	H ≅ G/N	type
1. #22596690	C₂	semidirect
2. #22596674	C₂	semidirect
3. #22596226	C₂	semidirect
4. #22596209	C₂	semidirect
5. #22596151	C₂	semidirect
6. #22596119	C₂	semidirect
7. #22596072	C₂	semidirect
10. #22595845	C₂	semidirect
11. #22595706	C₂	semidirect
12. #22595653	C₂	semidirect
13. #22595539	C₂	semidirect
15. #22595162	C₂	semidirect
16. #22595126	C₂	semidirect
17. #22594802	C₂	semidirect
20. #22593807	C₂	semidirect
21. #22593786	C₂	semidirect
22. #22593782	C₂	semidirect
23. #22593757	C₂	semidirect
24. #22593223	C₂	semidirect
25. #22593135	C₂	semidirect
26. #22592552	C₂	semidirect
27. #22592514	C₂	semidirect
28. #22591097	C₂	semidirect
29. #22591090	C₂	semidirect
690. C₇₁	#36772	semidirect

Maximal subgroups

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

subgroup	index
#22596690	2
#22596674	2
#22596226	2
#22596209	2
#22596151	2
#22596119	2
#22596072	2
#22595996	2
#22595978	2
#22595845	2
#22595706	2
#22595653	2
#22595539	2
#22595459	2
#22595162	2
#22595126	2
#22594802	2
#22594256	2
#22593807	2
#22593786	2
#22593782	2
#22593757	2
#22593223	2
#22593135	2
#22592552	2
#22592514	2
#22591097	2
#22591090	2
#22590780	2
C₇₁×#2702	2
#36772	71