Subgroups — #14216831

Order 1792.

1642 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
2	#11740241	C₂	1	1	yes	maximal, characteristic
3	#11740236	C₂	1	1	yes	maximal, characteristic
4	#11739917	C₂	1	1	yes	maximal, characteristic, complemented
5	#11739910	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄×#6487	C₂	1	1	yes	maximal, characteristic
7	#11739514	C₂	1	1	yes	maximal, characteristic
8	#11733997	C₂	1	1	yes	maximal, characteristic, complemented
9	#11733982	C₂	1	1	yes	maximal, characteristic, complemented
10	#11733544	C₂	1	1	yes	maximal, characteristic, complemented
11	#11733537	C₂	1	1	yes	maximal, characteristic, complemented
12	#11732493	C₂	1	1	yes	maximal, characteristic, complemented
13	#11732439	C₂	1	1	yes	maximal, characteristic, complemented
14	#11732416	C₂	1	1	yes	maximal, characteristic, complemented
15	#11732412	C₂	1	1	yes	maximal, characteristic, complemented
16	#11731946	C₂	1	1	yes	maximal, characteristic
17	#11731942	C₂	1	1	yes	maximal, characteristic
18	#11731895	C₂	1	1	yes	maximal, characteristic
19	#11731894	C₂	1	1	yes	maximal, characteristic
20	#11731417	C₂	1	1	yes	maximal, characteristic
21	#11731405	C₂	1	1	yes	maximal, characteristic
22	#11731189	C₂	1	1	yes	maximal, characteristic, complemented
23	#11731179	C₂	1	1	yes	maximal, characteristic, complemented
24	#11731177	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731159	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731148	C₂	1	1	yes	maximal, characteristic, complemented
27	#11731108	C₂	1	1	yes	maximal, characteristic, complemented
28	#11730974	C₂	1	1	yes	maximal, characteristic
29	#11730969	C₂	1	1	yes	maximal, characteristic
30	#11730922	C₂	1	1	yes	maximal, characteristic
31	#11730921	C₂	1	1	yes	maximal, characteristic
32	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
34	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
35	C₂×#6507	C₂²	1	1	yes	characteristic
36	C₂×#6489	C₂²	1	1	yes	characteristic
37	C₂×#6489	C₂²	1	1	yes	characteristic
38	C₂×#6487	C₂²	1	1	yes	characteristic
39	C₂×#6453	C₂²	1	1	yes	characteristic
40	C₂×#6452	C₂²	1	1	yes	characteristic
41	C₂×#6452	C₂²	1	1	yes	characteristic
42	C₂×#6451	C₂²	1	1	yes	characteristic
43	C₂×#6450	C₂²	1	1	yes	characteristic
44	C₂×#6442	C₂²	1	1	yes	characteristic
45	C₂×#6442	C₂²	1	1	yes	characteristic
46	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
47	C₇×#391	C₂²	1	1	yes	characteristic
48	C₇×#389	C₂²	1	1	yes	characteristic
49	C₇×#387	C₂²	1	1	yes	characteristic
50	C₇×#387	C₂²	1	1	yes	characteristic
51	C₇×#385	C₂²	1	1	yes	characteristic
52	C₇×#385	C₂²	1	1	yes	characteristic
53	C₇×#380	C₂²	1	1	yes	characteristic
54	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
56	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	#90002	C₂²	1	1	yes	characteristic
60	#90001	C₂²	1	1	yes	characteristic
61	#90001	C₂²	1	1	yes	characteristic
62	#89984	C₂²	1	1	yes	characteristic
63	#89982	C₂²	1	1	yes	characteristic
64	#89982	C₂²	1	1	yes	characteristic
65	#89982	C₂²	1	1	yes	characteristic
66	#89982	C₂²	1	1	yes	characteristic
67	#89982	C₂²	1	1	yes	characteristic
68	#89982	C₂²	1	1	yes	characteristic
69	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
70	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
71	#89758	C₂²	1	1	yes	characteristic
72	#89758	C₂²	1	1	yes	characteristic
73	#89757	C₂²	1	1	yes	characteristic
74	#89757	C₂²	1	1	yes	characteristic
75	#89756	C₂²	1	1	yes	characteristic
76	#89756	C₂²	1	1	yes	characteristic
77	#89756	C₂²	1	1	yes	characteristic
78	#89756	C₂²	1	1	yes	characteristic
79	#89756	C₂²	1	1	yes	characteristic
80	#89756	C₂²	1	1	yes	characteristic
81	#89756	C₂²	1	1	yes	characteristic
82	#89755	C₂²	1	1	yes	characteristic
83	#89755	C₂²	1	1	yes	characteristic
84	#89754	C₂²	1	1	yes	characteristic
85	#89753	C₂²	1	1	yes	characteristic
86	#89753	C₂²	1	1	yes	characteristic
87	#89753	C₂²	1	1	yes	characteristic
88	#89753	C₂²	1	1	yes	characteristic
89	#89753	C₂²	1	1	yes	characteristic
90	#89753	C₂²	1	1	yes	characteristic
91	#89752	C₂²	1	1	yes	characteristic
92	#89751	C₂²	1	1	yes	characteristic
93	#89750	C₂²	1	1	yes	characteristic
94	#89750	C₂²	1	1	yes	characteristic
95	#89750	C₂²	1	1	yes	characteristic
96	#89750	C₂²	1	1	yes	characteristic
97	#89750	C₂²	1	1	yes	characteristic
98	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
99	#89744	C₂²	1	1	yes	characteristic
100	#89744	C₂²	1	1	yes	characteristic
101	#89744	C₂²	1	1	yes	characteristic
102	#89725	C₂²	1	1	yes	characteristic
103	#89725	C₂²	1	1	yes	characteristic
104	#89724	C₂²	1	1	yes	characteristic
105	#89724	C₂²	1	1	yes	characteristic
106	#89724	C₂²	1	1	yes	characteristic
107	#89724	C₂²	1	1	yes	characteristic
108	#89723	C₂²	1	1	yes	characteristic
109	#89723	C₂²	1	1	yes	characteristic
110	#89721	C₂²	1	1	yes	characteristic
111	#89719	C₂²	1	1	yes	characteristic
112	#89717	C₂²	1	1	yes	characteristic
113	#89717	C₂²	1	1	yes	characteristic
114	#89716	C₂²	1	1	yes	characteristic
115	#89716	C₂²	1	1	yes	characteristic
116	#89709	C₂²	1	1	yes	characteristic
117	#89708	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
119	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
120	#89705	C₂²	1	1	yes	characteristic
121	#89705	C₂²	1	1	yes	characteristic
122	#89705	C₂²	1	1	yes	characteristic
123	#89705	C₂²	1	1	yes	characteristic
124	#89705	C₂²	1	1	yes	characteristic
125	#89705	C₂²	1	1	yes	characteristic
126	#89705	C₂²	1	1	yes	characteristic
127	#89705	C₂²	1	1	yes	characteristic
128	#89705	C₂²	1	1	yes	characteristic
129	#89705	C₂²	1	1	yes	characteristic
130	#89704	C₂²	1	1	yes	characteristic
131	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
132	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
133	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
134	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
135	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
136	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
137	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
138	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
139	#89701	C₂²	1	1	yes	characteristic
140	#89701	C₂²	1	1	yes	characteristic
141	#89700	C₂²	1	1	yes	characteristic
142	#89700	C₂²	1	1	yes	characteristic
143	#89700	C₂²	1	1	yes	characteristic
144	#89700	C₂²	1	1	yes	characteristic
145	#89700	C₂²	1	1	yes	characteristic
146	#89700	C₂²	1	1	yes	characteristic
147	#89433	C₂²	1	1	yes	characteristic
148	#89433	C₂²	1	1	yes	characteristic
149	#89432	C₂²	1	1	yes	characteristic
150	#89432	C₂²	1	1	yes	characteristic
151	#89429	C₂²	1	1	yes	characteristic
152	#89429	C₂²	1	1	yes	characteristic
153	#89428	C₂²	1	1	yes	characteristic
154	#89428	C₂²	1	1	yes	characteristic
155	#89427	C₂²	1	1	yes	characteristic
156	#89427	C₂²	1	1	yes	characteristic
157	#89427	C₂²	1	1	yes	characteristic
158	#89427	C₂²	1	1	yes	characteristic
159	#89427	C₂²	1	1	yes	characteristic
160	#89426	C₂²	1	1	yes	characteristic
161	#89426	C₂²	1	1	yes	characteristic
162	#89426	C₂²	1	1	yes	characteristic
163	#89425	C₂²	1	1	yes	characteristic
164	#89425	C₂²	1	1	yes	characteristic
165	#89425	C₂²	1	1	yes	characteristic
166	#89425	C₂²	1	1	yes	characteristic
167	#89425	C₂²	1	1	yes	characteristic
168	#89425	C₂²	1	1	yes	characteristic
169	#89424	C₂²	1	1	yes	characteristic
170	#89424	C₂²	1	1	yes	characteristic
171	#89424	C₂²	1	1	yes	characteristic
172	#89423	C₂²	1	1	yes	characteristic
173	#89423	C₂²	1	1	yes	characteristic
174	#89422	C₂²	1	1	yes	characteristic
175	#89421	C₂²	1	1	yes	characteristic
176	#89421	C₂²	1	1	yes	characteristic
177	#89421	C₂²	1	1	yes	characteristic
178	#89421	C₂²	1	1	yes	characteristic
179	#89420	C₂²	1	1	yes	characteristic
180	#89420	C₂²	1	1	yes	characteristic
181	#89419	C₂²	1	1	yes	characteristic
182	#89419	C₂²	1	1	yes	characteristic
183	#89419	C₂²	1	1	yes	characteristic
184	#89419	C₂²	1	1	yes	characteristic
185	#89418	C₂²	1	1	yes	characteristic
186	#89418	C₂²	1	1	yes	characteristic
187	#60030	—	7	1	no	maximal, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
194	C₇×C₂²⋊Q₈	—	2	4	no	—
195	C₄×C₇×Q₈	—	4	2	no	—
196	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₇	—	4	2	no	—
210	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
226	#6507	—	2	4	no	—
227	#6489	—	2	4	no	—
228	#6489	—	4	2	no	—
229	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
243	#6487	—	2	4	no	—
244	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
288	#6453	—	2	4	no	—
289	#6452	—	2	4	no	—
290	#6452	—	4	2	no	—
291	#6451	—	2	4	no	—
292	#6450	—	4	2	no	—
293	#6442	—	2	4	no	—
294	#6442	—	2	4	no	—
295	C₄×Dic₁₄	—	4	2	no	—
296	C₇×#95	C₂³	1	1	yes	characteristic
297	C₇×#95	C₂³	1	1	yes	characteristic
298	C₇×#95	C₂³	1	1	yes	characteristic
299	C₇×#95	C₂³	1	1	yes	characteristic
300	C₇×#95	C₂³	1	1	yes	characteristic
301	C₇×#95	C₂³	1	1	yes	characteristic
302	C₇×#95	C₂³	1	1	yes	characteristic
303	C₇×#95	C₂³	1	1	yes	characteristic
304	C₇×#95	C₂³	1	1	yes	characteristic
305	C₇×#95	C₂³	1	1	yes	characteristic
306	C₇⋊#95	C₂³	1	1	yes	characteristic
307	C₇⋊#95	C₂³	1	1	yes	characteristic
308	C₇⋊#95	C₂³	1	1	yes	characteristic
309	C₇⋊#95	C₂³	1	1	yes	characteristic
310	C₇⋊#95	C₂³	1	1	yes	characteristic
311	C₇⋊#95	C₂³	1	1	yes	characteristic
312	C₇⋊#95	C₂³	1	1	yes	characteristic
313	C₇⋊#95	C₂³	1	1	yes	characteristic
314	C₇⋊#95	C₂³	1	1	yes	characteristic
315	C₇⋊#95	C₂³	1	1	yes	characteristic
316	C₇⋊#95	C₂³	1	1	yes	characteristic
317	C₇⋊#95	C₂³	1	1	yes	characteristic
318	C₇⋊#95	C₂³	1	1	yes	characteristic
319	C₇⋊#95	C₂³	1	1	yes	characteristic
320	C₇⋊#95	C₂³	1	1	yes	characteristic
321	C₇⋊#95	C₂³	1	1	yes	characteristic
322	C₇⋊#95	C₂³	1	1	yes	characteristic
323	C₇⋊#95	C₂³	1	1	yes	characteristic
324	C₇⋊#95	C₂³	1	1	yes	characteristic
325	C₇⋊#95	C₂³	1	1	yes	characteristic
326	C₇⋊#95	C₂³	1	1	yes	characteristic
327	C₇⋊#95	C₂³	1	1	yes	characteristic
328	C₇⋊#95	C₂³	1	1	yes	characteristic
329	C₇⋊#95	C₂³	1	1	yes	characteristic
330	C₇⋊#95	C₂³	1	1	yes	characteristic
331	C₇⋊#95	C₂³	1	1	yes	characteristic
332	C₇⋊#95	C₂³	1	1	yes	characteristic
333	C₇⋊#95	C₂³	1	1	yes	characteristic
334	C₇⋊#95	C₂³	1	1	yes	characteristic
335	C₇⋊#95	C₂³	1	1	yes	characteristic
336	C₇⋊#95	C₂³	1	1	yes	characteristic
337	C₇⋊#95	C₂³	1	1	yes	characteristic
338	C₇⋊#95	C₂³	1	1	yes	characteristic
339	C₇⋊#95	C₂³	1	1	yes	characteristic
340	C₇⋊#95	C₂³	1	1	yes	characteristic
341	C₇⋊#95	C₂³	1	1	yes	characteristic
342	C₇⋊#95	C₂³	1	1	yes	characteristic
343	C₇⋊#95	C₂³	1	1	yes	characteristic
344	C₇⋊#95	C₂³	1	1	yes	characteristic
345	C₇⋊#95	C₂³	1	1	yes	characteristic
346	C₇⋊#95	C₂³	1	1	yes	characteristic
347	C₇⋊#95	C₂³	1	1	yes	characteristic
348	C₇⋊#95	C₂³	1	1	yes	characteristic
349	C₇⋊#95	C₂³	1	1	yes	characteristic
350	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	C₇⋊#95	C₂³	1	1	yes	characteristic
353	C₇⋊#95	C₂³	1	1	yes	characteristic
354	C₇⋊#95	C₂³	1	1	yes	characteristic
355	C₇⋊#95	C₂³	1	1	yes	characteristic
356	C₇⋊#95	C₂³	1	1	yes	characteristic
357	C₇⋊#95	C₂³	1	1	yes	characteristic
358	#2722	—	7	1	no	—
359	#2690	—	7	1	no	—
360	#2690	—	7	1	no	—
361	#2677	—	7	1	no	—
362	#2611	—	7	1	no	—
363	#2606	—	7	1	no	—
364	#2606	—	7	1	no	—
365	#2599	—	7	1	no	—
366	#2590	—	7	1	no	—
367	#2590	—	7	1	no	—
368	#2588	—	7	1	no	—
369	#2588	—	7	1	no	—
370	#2550	—	7	1	no	—
371	#2550	—	7	1	no	—
372	#2524	—	7	1	no	—
373	#2524	—	7	1	no	—
374	#2523	—	7	1	no	—
375	#2517	—	7	1	no	—
376	#2478	—	7	1	no	—
377	#2478	—	7	1	no	—
378	#2462	—	7	1	no	—
379	#2462	—	7	1	no	—
380	#2373	—	7	1	no	—
381	#2373	—	7	1	no	—
382	#2371	—	7	1	no	—
383	#2371	—	7	1	no	—
384	#2365	—	7	1	no	—
385	#2365	—	7	1	no	—
386	C₄×C₂²⋊Q₈	—	7	1	no	—
387	C₄×C₂²⋊Q₈	D₇	1	1	yes	characteristic
388	#2296	—	7	1	no	—
389	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
390	C₂×C₇×Q₈	—	2	2	no	—
391	C₂×C₇×Q₈	—	2	2	no	—
392	C₂×C₇×Q₈	—	4	1	no	—
393	C₂²×C₄×C₇	—	2	2	no	—
394	C₂²×C₄×C₇	—	2	2	no	—
395	C₂²×C₄×C₇	—	2	2	no	—
396	C₂²×C₄×C₇	—	2	2	no	—
397	C₂²×C₄×C₇	—	2	2	no	—
398	C₂²×C₄×C₇	—	2	2	no	—
399	C₂²×C₄×C₇	—	2	2	no	—
400	C₂²×C₄×C₇	—	4	1	no	—
401	C₂²×C₄×C₇	—	4	1	no	—
402	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
432	C₂×Dic₁₄	—	2	2	no	—
433	C₂×Dic₁₄	—	2	2	no	—
434	C₂×Dic₁₄	—	2	2	no	—
435	C₂×Dic₁₄	—	2	2	no	—
436	C₂×Dic₁₄	—	4	1	no	—
437	C₂×Dic₁₄	—	4	1	no	—
438	C₇×C₄⋊C₄	—	2	2	no	—
439	C₇×C₄⋊C₄	—	2	2	no	—
440	C₇×C₄⋊C₄	—	2	2	no	—
441	C₇×C₄⋊C₄	—	2	2	no	—
442	C₇×C₄⋊C₄	—	2	2	no	—
443	C₇×C₄⋊C₄	—	2	2	no	—
444	C₇×C₄⋊C₄	—	2	2	no	—
445	C₇×C₄⋊C₄	—	4	1	no	—
446	C₇×C₄⋊C₄	#41	1	4	yes	—
447	C₇×C₂²⋊C₄	—	2	2	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	2	no	—
450	C₇×C₂²⋊C₄	—	2	2	no	—
451	C₄²×C₇	—	2	2	no	—
452	C₄²×C₇	—	2	2	no	—
453	C₄²×C₇	—	2	2	no	—
454	C₄²×C₇	—	2	2	no	—
455	C₄²×C₇	—	4	1	no	—
456	C₄²×C₇	—	4	1	no	—
457	C₄²×C₇	—	4	1	no	—
458	C₄²×C₇	—	4	1	no	—
459	C₂²⋊Dic₇	—	2	2	no	—
460	C₂²⋊Dic₇	—	2	2	no	—
461	C₂²⋊Dic₇	—	2	2	no	—
462	C₂²⋊Dic₇	—	2	2	no	—
463	C₂²⋊Dic₇	—	2	2	no	—
464	C₂²⋊Dic₇	—	4	1	no	—
465	C₂²⋊Dic₇	—	4	1	no	—
466	C₂²⋊Dic₇	#41	1	4	yes	—
467	C₄⋊Dic₇	—	2	2	no	—
468	C₄⋊Dic₇	—	2	2	no	—
469	C₄⋊Dic₇	—	2	2	no	—
470	C₄⋊Dic₇	—	2	2	no	—
471	C₄⋊Dic₇	—	2	2	no	—
472	C₄⋊Dic₇	—	2	2	no	—
473	C₄⋊Dic₇	—	2	2	no	—
474	C₄⋊Dic₇	—	2	2	no	—
475	C₄⋊Dic₇	—	2	2	no	—
476	C₄⋊Dic₇	—	2	2	no	—
477	C₄⋊Dic₇	—	4	1	no	—
478	C₄⋊Dic₇	—	4	1	no	—
479	C₄⋊Dic₇	—	4	1	no	—
480	C₄⋊Dic₇	—	4	1	no	—
481	Dic₇⋊C₄	—	2	2	no	—
482	Dic₇⋊C₄	—	2	2	no	—
483	Dic₇⋊C₄	—	2	2	no	—
484	Dic₇⋊C₄	—	2	2	no	—
485	Dic₇⋊C₄	—	2	2	no	—
486	Dic₇⋊C₄	—	2	2	no	—
487	Dic₇⋊C₄	—	2	2	no	—
488	Dic₇⋊C₄	—	2	2	no	—
489	Dic₇⋊C₄	—	2	2	no	—
490	Dic₇⋊C₄	—	2	2	no	—
491	Dic₇⋊C₄	—	2	2	no	—
492	Dic₇⋊C₄	—	2	2	no	—
493	Dic₇⋊C₄	—	2	2	no	—
494	Dic₇⋊C₄	—	2	2	no	—
495	Dic₇⋊C₄	—	2	2	no	—
496	Dic₇⋊C₄	—	2	2	no	—
497	Dic₇⋊C₄	—	2	2	no	—
498	Dic₇⋊C₄	—	2	2	no	—
499	Dic₇⋊C₄	—	2	2	no	—
500	Dic₇⋊C₄	—	2	2	no	—
501	Dic₇⋊C₄	—	2	2	no	—
502	Dic₇⋊C₄	—	2	2	no	—
503	Dic₇⋊C₄	—	2	2	no	—
504	Dic₇⋊C₄	—	4	1	no	—
505	Dic₇⋊C₄	—	4	1	no	—
506	Dic₇⋊C₄	—	4	1	no	—
507	Dic₇⋊C₄	—	4	1	no	—
508	Dic₇⋊C₄	#41	1	4	yes	—
509	C₄×Dic₇	—	2	2	no	—
510	C₄×Dic₇	—	2	2	no	—
511	C₄×Dic₇	—	2	2	no	—
512	C₄×Dic₇	—	2	2	no	—
513	C₄×Dic₇	—	2	2	no	—
514	C₄×Dic₇	—	2	2	no	—
515	C₄×Dic₇	—	2	2	no	—
516	C₄×Dic₇	—	2	2	no	—
517	C₄×Dic₇	—	2	2	no	—
518	C₄×Dic₇	—	2	2	no	—
519	C₄×Dic₇	—	2	2	no	—
520	C₄×Dic₇	—	2	2	no	—
521	C₄×Dic₇	—	4	1	no	—
522	C₄×Dic₇	—	4	1	no	—
523	C₄×Dic₇	—	4	1	no	—
524	C₄×Dic₇	—	4	1	no	—
525	C₂×C₄⋊Q₈	—	7	1	no	—
526	C₂×C₄⋊Q₈	—	7	1	no	—
527	C₂×#126	—	7	1	no	—
528	C₂×#126	—	7	1	no	—
529	C₂×#125	—	7	1	no	—
530	C₂×#125	—	7	1	no	—
531	C₂×#125	—	7	1	no	—
532	C₂×C₂²⋊Q₈	—	7	1	no	—
533	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
534	C₂×C₄×Q₈	—	7	1	no	—
535	C₂×C₄×Q₈	—	7	1	no	—
536	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic
537	C₂×#117	—	7	1	no	—
538	C₂×#117	—	7	1	no	—
539	C₂²×C₄²	C₂×D₇	1	1	yes	characteristic
540	#400	—	7	1	no	—
541	#400	—	7	1	no	—
542	#400	—	7	1	no	—
543	#400	—	7	1	no	—
544	#400	—	7	1	no	—
545	#399	—	7	1	no	—
546	#398	—	7	1	no	—
547	#398	—	7	1	no	—
548	#398	—	7	1	no	—
549	#398	—	7	1	no	—
550	#398	—	7	1	no	—
551	#398	—	7	1	no	—
552	#398	—	7	1	no	—
553	#398	—	7	1	no	—
554	#398	—	7	1	no	—
555	#398	—	7	1	no	—
556	#398	—	7	1	no	—
557	#398	—	7	1	no	—
558	#398	—	7	1	no	—
559	#398	—	7	1	no	—
560	#397	—	7	1	no	—
561	#397	—	7	1	no	—
562	#397	—	7	1	no	—
563	#397	—	7	1	no	—
564	#397	—	7	1	no	—
565	#397	—	7	1	no	—
566	#395	—	7	1	no	—
567	#395	—	7	1	no	—
568	#395	—	7	1	no	—
569	#395	—	7	1	no	—
570	#395	—	7	1	no	—
571	#393	—	7	1	no	—
572	#391	—	7	1	no	—
573	#391	—	7	1	no	—
574	#391	—	7	1	no	—
575	#391	—	7	1	no	—
576	#391	—	7	1	no	—
577	#391	C₂×D₇	1	1	yes	characteristic
578	#389	—	7	1	no	—
579	#389	—	7	1	no	—
580	#389	—	7	1	no	—
581	#389	—	7	1	no	—
582	#389	—	7	1	no	—
583	#389	—	7	1	no	—
584	#389	—	7	1	no	—
585	#389	—	7	1	no	—
586	#389	—	7	1	no	—
587	#389	—	7	1	no	—
588	#389	—	7	1	no	—
589	#389	—	7	1	no	—
590	#389	—	7	1	no	—
591	#389	—	7	1	no	—
592	#389	—	7	1	no	—
593	#389	C₂×D₇	1	1	yes	characteristic
594	#388	—	7	1	no	—
595	#388	—	7	1	no	—
596	#388	—	7	1	no	—
597	#388	—	7	1	no	—
598	#388	—	7	1	no	—
599	#388	—	7	1	no	—
600	#387	—	7	1	no	—
601	#387	—	7	1	no	—
602	#387	—	7	1	no	—
603	#387	—	7	1	no	—
604	#387	—	7	1	no	—
605	#387	—	7	1	no	—
606	#387	—	7	1	no	—
607	#387	—	7	1	no	—
608	#387	—	7	1	no	—
609	#387	—	7	1	no	—
610	#387	—	7	1	no	—
611	#387	—	7	1	no	—
612	#387	—	7	1	no	—
613	#387	—	7	1	no	—
614	#387	—	7	1	no	—
615	#387	—	7	1	no	—
616	#387	—	7	1	no	—
617	#387	—	7	1	no	—
618	#387	—	7	1	no	—
619	#387	—	7	1	no	—
620	#387	—	7	1	no	—
621	#387	—	7	1	no	—
622	#387	—	7	1	no	—
623	#387	—	7	1	no	—
624	#387	—	7	1	no	—
625	#387	—	7	1	no	—
626	#387	—	7	1	no	—
627	#387	—	7	1	no	—
628	#387	—	7	1	no	—
629	#387	—	7	1	no	—
630	#387	—	7	1	no	—
631	#387	—	7	1	no	—
632	#387	—	7	1	no	—
633	#387	—	7	1	no	—
634	#387	—	7	1	no	—
635	#387	—	7	1	no	—
636	#387	—	7	1	no	—
637	#387	—	7	1	no	—
638	#387	C₂×D₇	1	1	yes	characteristic
639	#387	C₂×D₇	1	1	yes	characteristic
640	#385	—	7	1	no	—
641	#385	—	7	1	no	—
642	#385	—	7	1	no	—
643	#385	—	7	1	no	—
644	#385	—	7	1	no	—
645	#385	—	7	1	no	—
646	#385	C₂×D₇	1	1	yes	characteristic
647	#385	C₂×D₇	1	1	yes	characteristic
648	#383	—	7	1	no	—
649	#383	—	7	1	no	—
650	#383	—	7	1	no	—
651	#382	—	7	1	no	—
652	#382	—	7	1	no	—
653	#380	—	7	1	no	—
654	#380	C₂×D₇	1	1	yes	characteristic
655	C₄×C₄⋊C₄	—	7	1	no	—
656	C₄×C₄⋊C₄	—	7	1	no	—
657	C₄×C₄⋊C₄	—	7	1	no	—
658	C₄×C₄⋊C₄	—	7	1	no	—
659	C₄×C₄⋊C₄	—	7	1	no	—
660	C₄×C₄⋊C₄	—	7	1	no	—
661	C₄×C₄⋊C₄	—	7	1	no	—
662	C₄×C₄⋊C₄	—	7	1	no	—
663	C₄×C₄⋊C₄	—	7	1	no	—
664	C₄×C₄⋊C₄	—	7	1	no	—
665	C₄×C₄⋊C₄	—	7	1	no	—
666	C₄×C₄⋊C₄	—	7	1	no	—
667	C₄×C₄⋊C₄	—	7	1	no	—
668	C₄×C₄⋊C₄	—	7	1	no	—
669	C₄×C₄⋊C₄	—	7	1	no	—
670	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
671	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
672	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
673	C₄×C₂²⋊C₄	—	7	1	no	—
674	C₄×C₂²⋊C₄	—	7	1	no	—
675	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
676	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
677	#376	—	7	1	no	—
678	#376	—	7	1	no	—
679	#376	—	7	1	no	—
680	C₂³×C₇	—	2	1	no	—
681	C₂³×C₇	—	2	1	no	—
682	C₂³×C₇	—	2	1	no	—
683	C₂³×C₇	—	2	1	no	—
684	C₂³×C₇	—	2	1	no	—
685	C₂³×C₇	—	2	1	no	—
686	C₂³×C₇	C₂×#41	1	2	yes	—
687	C₂³×C₇	C₂⁵	1	1	yes	characteristic
688	C₇×Q₈	—	4	4	no	—
689	C₂×C₄×C₇	—	2	8	no	—
690	C₂×C₄×C₇	—	2	1	no	—
691	C₂×C₄×C₇	—	2	1	no	—
692	C₂×C₄×C₇	—	2	1	no	—
693	C₂×C₄×C₇	—	2	1	no	—
694	C₂×C₄×C₇	—	2	1	no	—
695	C₂×C₄×C₇	—	2	1	no	—
696	C₂×C₄×C₇	—	2	1	no	—
697	C₂×C₄×C₇	—	2	1	no	—
698	C₂×C₄×C₇	—	2	1	no	—
699	C₂×C₄×C₇	—	2	1	no	—
700	C₂×C₄×C₇	—	2	1	no	—
701	C₂×C₄×C₇	—	2	1	no	—
702	C₂×C₄×C₇	—	2	1	no	—
703	C₂×C₄×C₇	—	2	1	no	—
704	C₂×C₄×C₇	—	2	1	no	—
705	C₂×C₄×C₇	—	2	1	no	—
706	C₂×C₄×C₇	—	2	1	no	—
707	C₂×C₄×C₇	—	2	1	no	—
708	C₂×C₄×C₇	—	2	1	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	2	1	no	—
716	C₂×C₄×C₇	—	2	1	no	—
717	C₂×C₄×C₇	—	2	1	no	—
718	C₂×C₄×C₇	—	2	1	no	—
719	C₂×C₄×C₇	—	2	1	no	—
720	C₂×C₄×C₇	—	2	1	no	—
721	C₂×C₄×C₇	—	2	1	no	—
722	C₂×C₄×C₇	—	2	1	no	—
723	C₂×C₄×C₇	—	2	1	no	—
724	C₂×C₄×C₇	—	4	4	no	—
725	C₂×C₄×C₇	—	4	4	no	—
726	C₂×C₄×C₇	C₂×#41	1	2	yes	—
727	C₂×C₄×C₇	C₂×#41	1	2	yes	—
728	C₂×C₄×C₇	C₂×#41	1	2	yes	—
729	C₂×C₄×C₇	C₂×#41	1	2	yes	—
730	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
731	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
732	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
733	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
734	C₂×Dic₇	—	2	1	no	—
735	C₂×Dic₇	—	2	1	no	—
736	C₂×Dic₇	—	2	1	no	—
737	C₂×Dic₇	—	2	1	no	—
738	C₂×Dic₇	—	2	1	no	—
739	C₂×Dic₇	—	2	1	no	—
740	C₂×Dic₇	—	2	1	no	—
741	C₂×Dic₇	—	2	1	no	—
742	C₂×Dic₇	—	2	1	no	—
743	C₂×Dic₇	—	2	1	no	—
744	C₂×Dic₇	—	2	1	no	—
745	C₂×Dic₇	—	2	1	no	—
746	C₂×Dic₇	—	2	1	no	—
747	C₂×Dic₇	—	2	1	no	—
748	C₂×Dic₇	—	2	1	no	—
749	C₂×Dic₇	—	2	1	no	—
750	C₂×Dic₇	—	2	1	no	—
751	C₂×Dic₇	—	2	1	no	—
752	C₂×Dic₇	—	2	1	no	—
753	C₂×Dic₇	—	2	1	no	—
754	C₂×Dic₇	—	2	1	no	—
755	C₂×Dic₇	—	2	1	no	—
756	C₂×Dic₇	—	2	1	no	—
757	C₂×Dic₇	—	2	1	no	—
758	C₂×Dic₇	—	2	1	no	—
759	C₂×Dic₇	—	2	1	no	—
760	C₂×Dic₇	—	2	1	no	—
761	C₂×Dic₇	—	2	1	no	—
762	C₂×Dic₇	—	2	1	no	—
763	C₂×Dic₇	—	2	1	no	—
764	C₂×Dic₇	—	2	1	no	—
765	C₂×Dic₇	—	2	1	no	—
766	C₂×Dic₇	—	2	1	no	—
767	C₂×Dic₇	—	2	1	no	—
768	C₂×Dic₇	—	2	1	no	—
769	C₂×Dic₇	—	2	1	no	—
770	C₂×Dic₇	—	2	1	no	—
771	C₂×Dic₇	—	2	1	no	—
772	C₂×Dic₇	—	2	1	no	—
773	C₂×Dic₇	—	2	1	no	—
774	C₂×Dic₇	—	2	1	no	—
775	C₂×Dic₇	—	2	1	no	—
776	C₂×Dic₇	—	2	1	no	—
777	C₂×Dic₇	—	2	1	no	—
778	C₂×Dic₇	C₂×#41	1	2	yes	—
779	C₂×Dic₇	C₂×#41	1	2	yes	—
780	C₂×Dic₇	C₂×#41	1	2	yes	—
781	C₂×Dic₇	C₂×#41	1	2	yes	—
782	Dic₁₄	—	4	4	no	—
783	Dic₁₄	—	4	4	no	—
784	C₂²×Q₈	—	7	1	no	—
785	C₂²×Q₈	—	7	1	no	—
786	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
787	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
788	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
789	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
790	C₄⋊Q₈	—	14	4	no	—
791	C₄⋊Q₈	—	14	4	no	—
792	#126	—	14	4	no	—
793	#126	—	14	4	no	—
794	#125	—	14	4	no	—
795	#125	—	14	4	no	—
796	#125	—	28	2	no	—
797	C₂²⋊Q₈	—	2	4	no	—
798	C₂²⋊Q₈	—	14	4	no	—
799	C₄×Q₈	—	4	2	no	—
800	C₄×Q₈	—	28	2	no	—
801	C₄×Q₈	—	28	2	no	—
802	#117	—	14	4	no	—
803	#117	—	28	2	no	—
804	C₂×C₄⋊C₄	—	7	1	no	—
805	C₂×C₄⋊C₄	—	7	1	no	—
806	C₂×C₄⋊C₄	—	7	1	no	—
807	C₂×C₄⋊C₄	—	7	1	no	—
808	C₂×C₄⋊C₄	—	7	1	no	—
809	C₂×C₄⋊C₄	—	7	1	no	—
810	C₂×C₄⋊C₄	—	7	1	no	—
811	C₂×C₄⋊C₄	—	7	1	no	—
812	C₂×C₄⋊C₄	—	7	1	no	—
813	C₂×C₄⋊C₄	—	7	1	no	—
814	C₂×C₄⋊C₄	—	7	1	no	—
815	C₂×C₄⋊C₄	—	7	1	no	—
816	C₂×C₄⋊C₄	—	7	1	no	—
817	C₂×C₄⋊C₄	—	7	1	no	—
818	C₂×C₄⋊C₄	—	7	1	no	—
819	C₂×C₄⋊C₄	—	7	1	no	—
820	C₂×C₄⋊C₄	—	7	1	no	—
821	C₂×C₄⋊C₄	—	7	1	no	—
822	C₂×C₄⋊C₄	—	7	1	no	—
823	C₂×C₄⋊C₄	—	7	1	no	—
824	C₂×C₄⋊C₄	—	7	1	no	—
825	C₂×C₄⋊C₄	—	7	1	no	—
826	C₂×C₄⋊C₄	—	7	1	no	—
827	C₂×C₄⋊C₄	—	7	1	no	—
828	C₂×C₄⋊C₄	—	7	1	no	—
829	C₂×C₄⋊C₄	—	7	1	no	—
830	C₂×C₄⋊C₄	—	7	1	no	—
831	C₂×C₄⋊C₄	—	7	1	no	—
832	C₂×C₄⋊C₄	—	7	1	no	—
833	C₂×C₄⋊C₄	—	7	1	no	—
834	C₂×C₄⋊C₄	—	7	1	no	—
835	C₂×C₄⋊C₄	—	7	1	no	—
836	C₂×C₄⋊C₄	—	7	1	no	—
837	C₂×C₄⋊C₄	—	7	1	no	—
838	C₂×C₄⋊C₄	—	7	1	no	—
839	C₂×C₄⋊C₄	—	7	1	no	—
840	C₂×C₄⋊C₄	—	7	1	no	—
841	C₂×C₄⋊C₄	—	7	1	no	—
842	C₂×C₄⋊C₄	—	7	1	no	—
843	C₂×C₄⋊C₄	—	7	1	no	—
844	C₂×C₄⋊C₄	—	7	1	no	—
845	C₂×C₄⋊C₄	—	7	1	no	—
846	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	—	7	1	no	—
856	C₂×C₂²⋊C₄	—	7	1	no	—
857	C₂×C₂²⋊C₄	—	7	1	no	—
858	C₂×C₂²⋊C₄	—	7	1	no	—
859	C₂×C₂²⋊C₄	—	7	1	no	—
860	C₂×C₂²⋊C₄	—	7	1	no	—
861	C₂×C₂²⋊C₄	—	7	1	no	—
862	C₂×C₂²⋊C₄	—	7	1	no	—
863	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
865	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
866	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
867	C₂×C₄²	—	4	2	no	—
868	C₂×C₄²	—	7	1	no	—
869	C₂×C₄²	—	7	1	no	—
870	C₂×C₄²	—	7	1	no	—
871	C₂×C₄²	—	7	1	no	—
872	C₂×C₄²	—	7	1	no	—
873	C₂×C₄²	—	7	1	no	—
874	C₂×C₄²	—	7	1	no	—
875	C₂×C₄²	—	7	1	no	—
876	C₂×C₄²	—	7	1	no	—
877	C₂×C₄²	—	7	1	no	—
878	C₂×C₄²	—	7	1	no	—
879	C₂×C₄²	—	7	1	no	—
880	C₂×C₄²	—	7	1	no	—
881	C₂×C₄²	—	7	1	no	—
882	C₂×C₄²	—	7	1	no	—
883	C₂×C₄²	—	7	1	no	—
884	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
885	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
886	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
887	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
888	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
889	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
890	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
891	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
892	#95	—	7	1	no	—
893	#95	—	7	1	no	—
894	#95	—	7	1	no	—
895	#95	—	7	1	no	—
896	#95	—	7	1	no	—
897	#95	—	7	1	no	—
898	#95	—	7	1	no	—
899	#95	—	7	1	no	—
900	#95	—	7	1	no	—
901	#95	—	7	1	no	—
902	#95	—	7	1	no	—
903	#95	—	7	1	no	—
904	#95	—	7	1	no	—
905	#95	—	7	1	no	—
906	#95	—	7	1	no	—
907	#95	—	7	1	no	—
908	#95	—	7	1	no	—
909	#95	—	7	1	no	—
910	#95	—	7	1	no	—
911	#95	—	7	1	no	—
912	#95	—	7	1	no	—
913	#95	—	7	1	no	—
914	#95	—	7	1	no	—
915	#95	—	7	1	no	—
916	#95	—	7	1	no	—
917	#95	—	7	1	no	—
918	#95	—	7	1	no	—
919	#95	—	7	1	no	—
920	#95	—	7	1	no	—
921	#95	—	7	1	no	—
922	#95	—	7	1	no	—
923	#95	—	7	1	no	—
924	#95	—	7	1	no	—
925	#95	—	7	1	no	—
926	#95	—	7	1	no	—
927	#95	—	7	1	no	—
928	#95	—	7	1	no	—
929	#95	—	7	1	no	—
930	#95	—	7	1	no	—
931	#95	—	7	1	no	—
932	#95	—	7	1	no	—
933	#95	—	7	1	no	—
934	#95	—	7	1	no	—
935	#95	—	7	1	no	—
936	#95	—	7	1	no	—
937	#95	—	7	1	no	—
938	#95	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	C₂²×D₇	1	1	yes	characteristic
945	#95	C₂²×D₇	1	1	yes	characteristic
946	#95	C₂²×D₇	1	1	yes	characteristic
947	#95	C₂²×D₇	1	1	yes	characteristic
948	#95	C₂²×D₇	1	1	yes	characteristic
949	#95	C₂²×D₇	1	1	yes	characteristic
950	#95	C₂²×D₇	1	1	yes	characteristic
951	#95	C₂²×D₇	1	1	yes	characteristic
952	#95	C₂²×D₇	1	1	yes	characteristic
953	#95	C₂²×D₇	1	1	yes	characteristic
954	C₂²×C₇	—	2	2	no	—
955	C₂²×C₇	—	2	2	no	—
956	C₂²×C₇	—	2	2	no	—
957	C₂²×C₇	—	4	1	no	—
958	C₂²×C₇	—	4	1	no	—
959	C₂²×C₇	—	4	1	no	—
960	C₂²×C₇	—	4	1	no	—
961	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
962	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
963	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
964	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
965	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
966	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
967	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
968	C₄×C₇	—	2	2	no	—
969	C₄×C₇	—	2	2	no	—
970	C₄×C₇	—	2	2	no	—
971	C₄×C₇	—	2	2	no	—
972	C₄×C₇	—	2	2	no	—
973	C₄×C₇	—	2	2	no	—
974	C₄×C₇	—	2	2	no	—
975	C₄×C₇	—	2	2	no	—
976	C₄×C₇	—	4	1	no	—
977	C₄×C₇	—	4	1	no	—
978	C₄×C₇	—	4	1	no	—
979	C₄×C₇	—	4	1	no	—
980	C₄×C₇	—	4	1	no	—
981	C₄×C₇	—	4	1	no	—
982	Dic₇	—	2	2	no	—
983	Dic₇	—	2	2	no	—
984	Dic₇	—	2	2	no	—
985	Dic₇	—	2	2	no	—
986	Dic₇	—	4	1	no	—
987	Dic₇	—	4	1	no	—
988	Dic₇	—	4	1	no	—
989	Dic₇	—	4	1	no	—
990	Dic₇	—	4	1	no	—
991	Dic₇	—	4	1	no	—
992	Dic₇	—	4	1	no	—
993	Dic₇	—	4	1	no	—
994	Dic₇	—	4	1	no	—
995	Dic₇	—	4	1	no	—
996	Dic₇	—	4	1	no	—
997	Dic₇	—	4	1	no	—
998	C₂⁴	C₂³×D₇	1	1	yes	characteristic
999	C₂×Q₈	—	2	2	no	—
1000	C₂×Q₈	—	2	2	no	—
1001	C₂×Q₈	—	4	1	no	—
1002	C₂×Q₈	—	14	2	no	—
1003	C₂×Q₈	—	14	2	no	—
1004	C₂×Q₈	—	14	2	no	—
1005	C₂×Q₈	—	14	2	no	—
1006	C₂×Q₈	—	28	1	no	—
1007	C₂×Q₈	—	28	1	no	—
1008	C₂²×C₄	—	2	2	no	—
1009	C₂²×C₄	—	2	2	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	2	2	no	—
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	2	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	4	1	no	—
1016	C₂²×C₄	—	4	1	no	—
1017	C₂²×C₄	—	7	1	no	—
1018	C₂²×C₄	—	7	1	no	—
1019	C₂²×C₄	—	7	1	no	—
1020	C₂²×C₄	—	7	1	no	—
1021	C₂²×C₄	—	7	1	no	—
1022	C₂²×C₄	—	7	1	no	—
1023	C₂²×C₄	—	7	1	no	—
1024	C₂²×C₄	—	7	1	no	—
1025	C₂²×C₄	—	7	1	no	—
1026	C₂²×C₄	—	7	1	no	—
1027	C₂²×C₄	—	7	1	no	—
1028	C₂²×C₄	—	7	1	no	—
1029	C₂²×C₄	—	7	1	no	—
1030	C₂²×C₄	—	7	1	no	—
1031	C₂²×C₄	—	7	1	no	—
1032	C₂²×C₄	—	7	1	no	—
1033	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	2	2	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	4	1	no	—
1055	C₄⋊C₄	—	7	4	no	—
1056	C₄⋊C₄	—	14	2	no	—
1057	C₄⋊C₄	—	14	2	no	—
1058	C₄⋊C₄	—	14	2	no	—
1059	C₄⋊C₄	—	14	2	no	—
1060	C₄⋊C₄	—	14	2	no	—
1061	C₄⋊C₄	—	14	2	no	—
1062	C₄⋊C₄	—	14	2	no	—
1063	C₄⋊C₄	—	14	2	no	—
1064	C₄⋊C₄	—	14	2	no	—
1065	C₄⋊C₄	—	14	2	no	—
1066	C₄⋊C₄	—	14	2	no	—
1067	C₄⋊C₄	—	14	2	no	—
1068	C₄⋊C₄	—	14	2	no	—
1069	C₄⋊C₄	—	14	2	no	—
1070	C₄⋊C₄	—	14	2	no	—
1071	C₄⋊C₄	—	14	2	no	—
1072	C₄⋊C₄	—	14	2	no	—
1073	C₄⋊C₄	—	14	2	no	—
1074	C₄⋊C₄	—	14	2	no	—
1075	C₄⋊C₄	—	14	2	no	—
1076	C₄⋊C₄	—	14	2	no	—
1077	C₄⋊C₄	—	14	2	no	—
1078	C₄⋊C₄	—	14	2	no	—
1079	C₄⋊C₄	—	14	2	no	—
1080	C₄⋊C₄	—	14	2	no	—
1081	C₄⋊C₄	—	14	2	no	—
1082	C₄⋊C₄	—	14	2	no	—
1083	C₄⋊C₄	—	14	2	no	—
1084	C₄⋊C₄	—	14	2	no	—
1085	C₄⋊C₄	—	14	2	no	—
1086	C₄⋊C₄	—	14	2	no	—
1087	C₄⋊C₄	—	14	2	no	—
1088	C₄⋊C₄	—	14	2	no	—
1089	C₄⋊C₄	—	28	1	no	—
1090	C₄⋊C₄	—	28	1	no	—
1091	C₄⋊C₄	—	28	1	no	—
1092	C₄⋊C₄	—	28	1	no	—
1093	C₄⋊C₄	—	28	1	no	—
1094	C₄⋊C₄	—	28	1	no	—
1095	C₄⋊C₄	—	28	1	no	—
1096	C₄⋊C₄	—	28	1	no	—
1097	C₄⋊C₄	#1157	1	4	yes	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	2	2	no	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	7	4	no	—
1103	C₂²⋊C₄	—	14	2	no	—
1104	C₂²⋊C₄	—	14	2	no	—
1105	C₂²⋊C₄	—	14	2	no	—
1106	C₂²⋊C₄	—	14	2	no	—
1107	C₂²⋊C₄	—	14	2	no	—
1108	C₂²⋊C₄	—	28	1	no	—
1109	C₂²⋊C₄	—	28	1	no	—
1110	C₄²	—	2	2	no	—
1111	C₄²	—	2	2	no	—
1112	C₄²	—	2	2	no	—
1113	C₄²	—	2	2	no	—
1114	C₄²	—	4	1	no	—
1115	C₄²	—	4	1	no	—
1116	C₄²	—	4	1	no	—
1117	C₄²	—	4	1	no	—
1118	C₄²	—	14	2	no	—
1119	C₄²	—	14	2	no	—
1120	C₄²	—	14	2	no	—
1121	C₄²	—	14	2	no	—
1122	C₄²	—	14	2	no	—
1123	C₄²	—	14	2	no	—
1124	C₄²	—	14	2	no	—
1125	C₄²	—	14	2	no	—
1126	C₄²	—	14	2	no	—
1127	C₄²	—	14	2	no	—
1128	C₄²	—	14	2	no	—
1129	C₄²	—	14	2	no	—
1130	C₄²	—	28	1	no	—
1131	C₄²	—	28	1	no	—
1132	C₄²	—	28	1	no	—
1133	C₄²	—	28	1	no	—
1134	C₂×C₇	—	4	2	no	—
1135	C₂×C₇	#3481	1	1	yes	characteristic
1136	C₂×C₇	#3482	1	1	yes	characteristic
1137	C₂×C₇	#3482	1	1	yes	characteristic
1138	C₂×C₇	#3492	1	1	yes	characteristic
1139	C₂×C₇	#3509	1	1	yes	characteristic
1140	C₂×C₇	#3509	1	1	yes	characteristic
1141	C₂×C₇	#3538	1	1	yes	characteristic
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	D₇×#41	1	2	yes	—
1149	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1150	Q₈	—	4	4	no	—
1151	Q₈	—	28	4	no	—
1152	Q₈	—	28	4	no	—
1153	C₂×C₄	—	2	8	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	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	—	4	4	no	—
1189	C₂×C₄	—	4	4	no	—
1190	C₂×C₄	—	7	2	no	—
1191	C₂×C₄	—	7	2	no	—
1192	C₂×C₄	—	7	2	no	—
1193	C₂×C₄	—	7	2	no	—
1194	C₂×C₄	—	14	1	no	—
1195	C₂×C₄	—	14	1	no	—
1196	C₂×C₄	—	14	1	no	—
1197	C₂×C₄	—	14	1	no	—
1198	C₂×C₄	—	14	1	no	—
1199	C₂×C₄	—	14	1	no	—
1200	C₂×C₄	—	14	1	no	—
1201	C₂×C₄	—	14	1	no	—
1202	C₂×C₄	—	14	1	no	—
1203	C₂×C₄	—	14	1	no	—
1204	C₂×C₄	—	14	1	no	—
1205	C₂×C₄	—	14	1	no	—
1206	C₂×C₄	—	14	1	no	—
1207	C₂×C₄	—	14	1	no	—
1208	C₂×C₄	—	14	1	no	—
1209	C₂×C₄	—	14	1	no	—
1210	C₂×C₄	—	14	1	no	—
1211	C₂×C₄	—	14	1	no	—
1212	C₂×C₄	—	14	1	no	—
1213	C₂×C₄	—	14	1	no	—
1214	C₂×C₄	—	14	1	no	—
1215	C₂×C₄	—	14	1	no	—
1216	C₂×C₄	—	14	1	no	—
1217	C₂×C₄	—	14	1	no	—
1218	C₂×C₄	—	14	1	no	—
1219	C₂×C₄	—	14	1	no	—
1220	C₂×C₄	—	14	1	no	—
1221	C₂×C₄	—	14	1	no	—
1222	C₂×C₄	—	14	1	no	—
1223	C₂×C₄	—	14	1	no	—
1224	C₂×C₄	—	14	1	no	—
1225	C₂×C₄	—	14	1	no	—
1226	C₂×C₄	—	14	1	no	—
1227	C₂×C₄	—	14	1	no	—
1228	C₂×C₄	—	14	1	no	—
1229	C₂×C₄	—	14	1	no	—
1230	C₂×C₄	—	14	1	no	—
1231	C₂×C₄	—	14	1	no	—
1232	C₂×C₄	—	14	1	no	—
1233	C₂×C₄	—	14	1	no	—
1234	C₂×C₄	—	14	1	no	—
1235	C₂×C₄	—	14	1	no	—
1236	C₂×C₄	—	14	1	no	—
1237	C₂×C₄	—	14	1	no	—
1238	C₂×C₄	C₂×#1157	1	2	yes	—
1239	C₂×C₄	C₂×#1157	1	2	yes	—
1240	C₂×C₄	C₂×#1157	1	2	yes	—
1241	C₂×C₄	#6548	1	2	yes	—
1242	C₂×C₄	#6551	1	2	yes	—
1243	C₂×C₄	D₇×#41	1	2	yes	—
1244	C₂×C₄	#6554	1	2	yes	—
1245	C₂×C₄	#6554	1	2	yes	—
1246	C₇	#60030	1	1	yes	characteristic, complemented, Sylow
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	2	2	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	C₂²×#1157	1	1	yes	characteristic
1255	C₂²	C₂×#6548	1	1	yes	characteristic
1256	C₂²	C₂×#6551	1	1	yes	characteristic
1257	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1258	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1259	C₂²	C₂×#6554	1	1	yes	characteristic
1260	C₂²	C₂×#6554	1	1	yes	characteristic
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	2	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	14	2	no	—
1276	C₄	—	14	2	no	—
1277	C₄	—	14	2	no	—
1278	C₄	—	14	2	no	—
1279	C₄	—	28	1	no	—
1280	C₄	—	28	1	no	—
1281	C₄	—	28	1	no	—
1282	C₄	—	28	1	no	—
1283	C₄	—	28	1	no	—
1284	C₄	—	28	1	no	—
1285	C₄	—	28	1	no	—
1286	C₄	—	28	1	no	—
1287	C₄	—	28	1	no	—
1288	C₄	—	28	1	no	—
1289	C₄	—	28	1	no	—
1290	C₄	—	28	1	no	—
1291	C₂	—	4	2	no	—
1292	C₂	#11742853	1	1	yes	characteristic
1293	C₂	#11742885	1	1	yes	characteristic
1294	C₂	#11742898	1	1	yes	characteristic
1295	C₂	#11743041	1	1	yes	characteristic
1296	C₂	#11743093	1	1	yes	characteristic
1297	C₂	#11743222	1	1	yes	characteristic
1298	C₂	#11743351	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₄×C₇×C₂²⋊Q₈	C₂
prime radical	C₂⁴×C₇	C₂⁴
hypercenter	C₄×C₂²⋊Q₈	D₇
hypocenter	C₇	#60030
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
4. #11739917	C₂	semidirect
5. #11739910	C₂	semidirect
8. #11733997	C₂	semidirect
9. #11733982	C₂	semidirect
10. #11733544	C₂	semidirect
11. #11733537	C₂	semidirect
12. #11732493	C₂	semidirect
13. #11732439	C₂	semidirect
14. #11732416	C₂	semidirect
15. #11732412	C₂	semidirect
22. #11731189	C₂	semidirect
23. #11731179	C₂	semidirect
24. #11731177	C₂	semidirect
25. #11731159	C₂	semidirect
26. #11731148	C₂	semidirect
27. #11731108	C₂	semidirect
1246. C₇	#60030	semidirect

Maximal subgroups

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

subgroup	index
C₄×C₇×C₂²⋊Q₈	2
#11740241	2
#11740236	2
#11739917	2
#11739910	2
C₄×#6487	2
#11739514	2
#11733997	2
#11733982	2
#11733544	2
#11733537	2
#11732493	2
#11732439	2
#11732416	2
#11732412	2
#11731946	2
#11731942	2
#11731895	2
#11731894	2
#11731417	2
#11731405	2
#11731189	2
#11731179	2
#11731177	2
#11731159	2
#11731148	2
#11731108	2
#11730974	2
#11730969	2
#11730922	2
#11730921	2
#60030	7