Subgroups — #13561742

Order 1792.

1482 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2713	C₂	1	1	yes	maximal, characteristic, complemented
2	#11740714	C₂	1	1	yes	maximal, characteristic
3	#11740692	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740495	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740477	C₂	1	1	yes	maximal, characteristic
6	#11735794	C₂	1	1	yes	maximal, characteristic
7	#11735793	C₂	1	1	yes	maximal, characteristic
8	#11735754	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735690	C₂	1	1	yes	maximal, characteristic, complemented
10	#11735401	C₂	1	1	yes	maximal, characteristic
11	#11735363	C₂	1	1	yes	maximal, characteristic, complemented
12	#11735327	C₂	1	1	yes	maximal, characteristic, complemented
13	#11735202	C₂	1	1	yes	maximal, characteristic
14	#11734702	C₂	1	1	yes	maximal, characteristic
15	#11734702	C₂	1	1	yes	maximal, characteristic
16	#11734679	C₂	1	1	yes	maximal, characteristic, complemented
17	#11734671	C₂	1	1	yes	maximal, characteristic, complemented
18	#11734057	C₂	1	1	yes	maximal, characteristic
19	#11734057	C₂	1	1	yes	maximal, characteristic
20	#11734036	C₂	1	1	yes	maximal, characteristic, complemented
21	#11734024	C₂	1	1	yes	maximal, characteristic, complemented
22	#11733686	C₂	1	1	yes	maximal, characteristic
23	#11733600	C₂	1	1	yes	maximal, characteristic, complemented
24	#11732890	C₂	1	1	yes	maximal, characteristic
25	#11732783	C₂	1	1	yes	maximal, characteristic
26	#11732782	C₂	1	1	yes	maximal, characteristic
27	D₇×#387	C₂	1	1	yes	maximal, characteristic
28	#11732707	C₂	1	1	yes	maximal, characteristic, complemented
29	#11732707	C₂	1	1	yes	maximal, characteristic, complemented
30	#11732678	C₂	1	1	yes	maximal, characteristic, complemented
31	#11732647	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₇×#125	C₂²	1	1	yes	characteristic
34	C₂×#6509	C₂²	1	1	yes	characteristic
35	C₂×#6509	C₂²	1	1	yes	characteristic
36	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×#6452	C₂²	1	1	yes	characteristic
39	C₂×#6452	C₂²	1	1	yes	characteristic
40	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
41	C₇×#400	C₂²	1	1	yes	characteristic
42	C₇×#400	C₂²	1	1	yes	characteristic
43	C₇×#398	C₂²	1	1	yes	characteristic
44	C₇×#398	C₂²	1	1	yes	characteristic
45	C₇×#395	C₂²	1	1	yes	characteristic
46	C₇×#395	C₂²	1	1	yes	characteristic
47	C₇×#391	C₂²	1	1	yes	characteristic
48	C₇×#391	C₂²	1	1	yes	characteristic
49	C₇×#389	C₂²	1	1	yes	characteristic
50	C₇×#387	C₂²	1	1	yes	characteristic
51	C₇×#387	C₂²	1	1	yes	characteristic
52	C₇×#387	C₂²	1	1	yes	characteristic
53	C₇×#387	C₂²	1	1	yes	characteristic
54	#90002	C₂²	1	1	yes	characteristic
55	#90002	C₂²	1	1	yes	characteristic
56	#90002	C₂²	1	1	yes	characteristic
57	#90002	C₂²	1	1	yes	characteristic
58	#90001	C₂²	1	1	yes	characteristic
59	#90001	C₂²	1	1	yes	characteristic
60	#89761	C₂²	1	1	yes	characteristic
61	#89761	C₂²	1	1	yes	characteristic
62	#89761	C₂²	1	1	yes	characteristic
63	#89761	C₂²	1	1	yes	characteristic
64	#89761	C₂²	1	1	yes	characteristic
65	#89761	C₂²	1	1	yes	characteristic
66	#89761	C₂²	1	1	yes	characteristic
67	#89761	C₂²	1	1	yes	characteristic
68	#89759	C₂²	1	1	yes	characteristic
69	#89759	C₂²	1	1	yes	characteristic
70	#89759	C₂²	1	1	yes	characteristic
71	#89759	C₂²	1	1	yes	characteristic
72	#89758	C₂²	1	1	yes	characteristic
73	#89758	C₂²	1	1	yes	characteristic
74	#89758	C₂²	1	1	yes	characteristic
75	#89758	C₂²	1	1	yes	characteristic
76	#89758	C₂²	1	1	yes	characteristic
77	#89758	C₂²	1	1	yes	characteristic
78	#89758	C₂²	1	1	yes	characteristic
79	#89758	C₂²	1	1	yes	characteristic
80	#89757	C₂²	1	1	yes	characteristic
81	#89756	C₂²	1	1	yes	characteristic
82	#89756	C₂²	1	1	yes	characteristic
83	#89756	C₂²	1	1	yes	characteristic
84	#89755	C₂²	1	1	yes	characteristic
85	#89754	C₂²	1	1	yes	characteristic
86	#89754	C₂²	1	1	yes	characteristic
87	#89754	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	#89753	C₂²	1	1	yes	characteristic
92	#89753	C₂²	1	1	yes	characteristic
93	#89753	C₂²	1	1	yes	characteristic
94	#89752	C₂²	1	1	yes	characteristic
95	#89752	C₂²	1	1	yes	characteristic
96	#89752	C₂²	1	1	yes	characteristic
97	#89752	C₂²	1	1	yes	characteristic
98	#89752	C₂²	1	1	yes	characteristic
99	#89750	C₂²	1	1	yes	characteristic
100	#89750	C₂²	1	1	yes	characteristic
101	#89750	C₂²	1	1	yes	characteristic
102	#89749	C₂²	1	1	yes	characteristic
103	#89745	C₂²	1	1	yes	characteristic
104	#89745	C₂²	1	1	yes	characteristic
105	#89745	C₂²	1	1	yes	characteristic
106	#89745	C₂²	1	1	yes	characteristic
107	#89744	C₂²	1	1	yes	characteristic
108	#89744	C₂²	1	1	yes	characteristic
109	#89744	C₂²	1	1	yes	characteristic
110	#89744	C₂²	1	1	yes	characteristic
111	#89744	C₂²	1	1	yes	characteristic
112	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
114	#89709	C₂²	1	1	yes	characteristic
115	#89707	C₂²	1	1	yes	characteristic
116	#89705	C₂²	1	1	yes	characteristic
117	#89705	C₂²	1	1	yes	characteristic
118	#89705	C₂²	1	1	yes	characteristic
119	#89705	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	#89440	C₂²	1	1	yes	characteristic
124	#89440	C₂²	1	1	yes	characteristic
125	#89440	C₂²	1	1	yes	characteristic
126	#89440	C₂²	1	1	yes	characteristic
127	#89439	C₂²	1	1	yes	characteristic
128	#89439	C₂²	1	1	yes	characteristic
129	#89438	C₂²	1	1	yes	characteristic
130	#89438	C₂²	1	1	yes	characteristic
131	#89436	C₂²	1	1	yes	characteristic
132	#89436	C₂²	1	1	yes	characteristic
133	#89436	C₂²	1	1	yes	characteristic
134	#89436	C₂²	1	1	yes	characteristic
135	D₇×#95	C₂²	1	1	yes	characteristic
136	D₇×#95	C₂²	1	1	yes	characteristic
137	D₇×#95	C₂²	1	1	yes	characteristic
138	D₇×#95	C₂²	1	1	yes	characteristic
139	C₇⋊#401	C₂²	1	1	yes	characteristic
140	C₇⋊#401	C₂²	1	1	yes	characteristic
141	C₇⋊#401	C₂²	1	1	yes	characteristic
142	C₇⋊#401	C₂²	1	1	yes	characteristic
143	#89432	C₂²	1	1	yes	characteristic
144	#89432	C₂²	1	1	yes	characteristic
145	#89432	C₂²	1	1	yes	characteristic
146	#89432	C₂²	1	1	yes	characteristic
147	#89431	C₂²	1	1	yes	characteristic
148	#89431	C₂²	1	1	yes	characteristic
149	#89431	C₂²	1	1	yes	characteristic
150	#89431	C₂²	1	1	yes	characteristic
151	#89431	C₂²	1	1	yes	characteristic
152	#89430	C₂²	1	1	yes	characteristic
153	#89430	C₂²	1	1	yes	characteristic
154	#89429	C₂²	1	1	yes	characteristic
155	#89429	C₂²	1	1	yes	characteristic
156	#89429	C₂²	1	1	yes	characteristic
157	#89429	C₂²	1	1	yes	characteristic
158	#89429	C₂²	1	1	yes	characteristic
159	#89427	C₂²	1	1	yes	characteristic
160	#89427	C₂²	1	1	yes	characteristic
161	#89427	C₂²	1	1	yes	characteristic
162	#89427	C₂²	1	1	yes	characteristic
163	#89427	C₂²	1	1	yes	characteristic
164	#89426	C₂²	1	1	yes	characteristic
165	#89426	C₂²	1	1	yes	characteristic
166	#89426	C₂²	1	1	yes	characteristic
167	#89426	C₂²	1	1	yes	characteristic
168	#89426	C₂²	1	1	yes	characteristic
169	#89426	C₂²	1	1	yes	characteristic
170	#89425	C₂²	1	1	yes	characteristic
171	#89425	C₂²	1	1	yes	characteristic
172	#89425	C₂²	1	1	yes	characteristic
173	#89425	C₂²	1	1	yes	characteristic
174	#89425	C₂²	1	1	yes	characteristic
175	#89425	C₂²	1	1	yes	characteristic
176	#89424	C₂²	1	1	yes	characteristic
177	#89424	C₂²	1	1	yes	characteristic
178	#89424	C₂²	1	1	yes	characteristic
179	#89423	C₂²	1	1	yes	characteristic
180	#89423	C₂²	1	1	yes	characteristic
181	#89423	C₂²	1	1	yes	characteristic
182	#89422	C₂²	1	1	yes	characteristic
183	#89422	C₂²	1	1	yes	characteristic
184	#89419	C₂²	1	1	yes	characteristic
185	#89419	C₂²	1	1	yes	characteristic
186	#89419	C₂²	1	1	yes	characteristic
187	#36762	—	7	1	no	maximal, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
197	C₇×C₄⋊Q₈	—	4	2	no	—
198	C₇×#125	—	4	2	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	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	#6509	—	2	4	no	—
217	#6509	—	2	4	no	—
218	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
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×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
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×C₄×Dic₇	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
271	D₇×C₄⋊C₄	—	2	4	no	—
272	D₇×C₄⋊C₄	—	4	2	no	—
273	#6452	—	4	2	no	—
274	#6452	—	4	2	no	—
275	C₄²×D₇	—	4	2	no	—
276	C₇×#95	C₂³	1	1	yes	characteristic
277	C₇×#95	C₂³	1	1	yes	characteristic
278	C₇×#95	C₂³	1	1	yes	characteristic
279	C₇×#95	C₂³	1	1	yes	characteristic
280	C₇×#95	C₂³	1	1	yes	characteristic
281	C₇×#95	C₂³	1	1	yes	characteristic
282	C₇×#95	C₂³	1	1	yes	characteristic
283	C₇×#95	C₂³	1	1	yes	characteristic
284	C₇×#95	C₂³	1	1	yes	characteristic
285	C₇×#95	C₂³	1	1	yes	characteristic
286	C₇×#95	C₂³	1	1	yes	characteristic
287	C₇×#95	C₂³	1	1	yes	characteristic
288	C₇×#95	C₂³	1	1	yes	characteristic
289	C₇×#95	C₂³	1	1	yes	characteristic
290	C₇×#95	C₂³	1	1	yes	characteristic
291	C₇×#95	C₂³	1	1	yes	characteristic
292	C₇⋊#95	C₂³	1	1	yes	characteristic
293	C₇⋊#95	C₂³	1	1	yes	characteristic
294	C₇⋊#95	C₂³	1	1	yes	characteristic
295	C₇⋊#95	C₂³	1	1	yes	characteristic
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	#2857	—	7	1	no	—
353	#2851	—	7	1	no	—
354	#2802	—	7	1	no	—
355	#2802	—	7	1	no	—
356	#2794	—	7	1	no	—
357	#2794	—	7	1	no	—
358	#2789	—	7	1	no	—
359	#2789	—	7	1	no	—
360	#2776	—	7	1	no	—
361	#2776	—	7	1	no	—
362	#2766	—	7	1	no	—
363	#2766	—	7	1	no	—
364	#2758	—	7	1	no	—
365	#2758	—	7	1	no	—
366	#2719	—	7	1	no	—
367	#2719	—	7	1	no	—
368	#2713	—	7	1	no	—
369	#2713	D₇	1	1	yes	characteristic, complemented
370	#2627	—	7	1	no	—
371	#2627	—	7	1	no	—
372	#2505	—	7	1	no	—
373	#2505	—	7	1	no	—
374	#2493	—	7	1	no	—
375	#2493	—	7	1	no	—
376	#2493	—	7	1	no	—
377	#2493	—	7	1	no	—
378	#2473	—	7	1	no	—
379	#2473	—	7	1	no	—
380	#2329	—	7	1	no	—
381	#2329	—	7	1	no	—
382	C₂×#387	—	7	1	no	—
383	C₂³×D₇	C₂⁴	1	1	yes	characteristic
384	C₂×C₇×Q₈	—	2	2	no	—
385	C₂×C₇×Q₈	—	2	2	no	—
386	C₂×C₇×Q₈	—	4	1	no	—
387	C₂×C₇×Q₈	—	4	1	no	—
388	C₂×C₇×Q₈	—	4	1	no	—
389	C₂×C₇×Q₈	—	4	1	no	—
390	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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×Dic₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇	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	C₂×C₄×D₇	—	2	2	no	—
421	C₂×C₄×D₇	—	2	2	no	—
422	C₂×C₄×D₇	—	2	2	no	—
423	C₂×C₄×D₇	—	2	2	no	—
424	C₂×C₄×D₇	—	2	2	no	—
425	C₂×C₄×D₇	—	2	2	no	—
426	C₂×C₄×D₇	—	2	2	no	—
427	C₂×C₄×D₇	—	2	2	no	—
428	C₂×C₄×D₇	—	2	2	no	—
429	C₂×C₄×D₇	—	2	2	no	—
430	C₂×C₄×D₇	—	4	1	no	—
431	C₂×C₄×D₇	—	4	1	no	—
432	C₂×C₄×D₇	—	4	1	no	—
433	C₂×C₄×D₇	—	4	1	no	—
434	C₂×C₄×D₇	—	4	1	no	—
435	C₂×C₄×D₇	—	4	1	no	—
436	C₂×C₄×D₇	—	4	1	no	—
437	C₂×C₄×D₇	—	4	1	no	—
438	C₂×C₄×D₇	—	4	1	no	—
439	C₂×C₄×D₇	—	4	1	no	—
440	C₂×C₄×D₇	#41	1	4	yes	—
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	—	2	2	no	—
446	C₇×C₄⋊C₄	—	2	2	no	—
447	C₇×C₄⋊C₄	—	4	1	no	—
448	C₇×C₄⋊C₄	—	4	1	no	—
449	C₇×C₄⋊C₄	—	4	1	no	—
450	C₇×C₄⋊C₄	—	4	1	no	—
451	C₇×C₄⋊C₄	—	4	1	no	—
452	C₇×C₄⋊C₄	—	4	1	no	—
453	C₇×C₄⋊C₄	—	4	1	no	—
454	C₇×C₄⋊C₄	—	4	1	no	—
455	C₄²×C₇	—	2	2	no	—
456	C₄²×C₇	—	4	1	no	—
457	C₄²×C₇	—	4	1	no	—
458	(C₂×D₇)⋊C₄	—	2	2	no	—
459	(C₂×D₇)⋊C₄	—	2	2	no	—
460	(C₂×D₇)⋊C₄	—	2	2	no	—
461	(C₂×D₇)⋊C₄	—	2	2	no	—
462	(C₂×D₇)⋊C₄	—	2	2	no	—
463	(C₂×D₇)⋊C₄	—	2	2	no	—
464	(C₂×D₇)⋊C₄	—	2	2	no	—
465	(C₂×D₇)⋊C₄	—	2	2	no	—
466	C₄⋊Dic₇	—	2	2	no	—
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	—	4	1	no	—
472	C₄⋊Dic₇	—	4	1	no	—
473	C₄⋊Dic₇	—	4	1	no	—
474	C₄⋊Dic₇	—	4	1	no	—
475	C₄⋊Dic₇	—	4	1	no	—
476	C₄⋊Dic₇	—	4	1	no	—
477	C₄⋊Dic₇	—	4	1	no	—
478	Dic₇⋊C₄	—	2	2	no	—
479	Dic₇⋊C₄	—	2	2	no	—
480	Dic₇⋊C₄	—	2	2	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	—	4	1	no	—
488	Dic₇⋊C₄	—	4	1	no	—
489	Dic₇⋊C₄	—	4	1	no	—
490	Dic₇⋊C₄	—	4	1	no	—
491	Dic₇⋊C₄	—	4	1	no	—
492	Dic₇⋊C₄	—	4	1	no	—
493	Dic₇⋊C₄	—	4	1	no	—
494	Dic₇⋊C₄	—	4	1	no	—
495	Dic₇⋊C₄	—	4	1	no	—
496	Dic₇⋊C₄	—	4	1	no	—
497	Dic₇⋊C₄	—	4	1	no	—
498	Dic₇⋊C₄	—	4	1	no	—
499	Dic₇⋊C₄	—	4	1	no	—
500	Dic₇⋊C₄	—	4	1	no	—
501	Dic₇⋊C₄	—	4	1	no	—
502	C₄×Dic₇	—	2	2	no	—
503	C₄×Dic₇	—	4	1	no	—
504	C₄×Dic₇	—	4	1	no	—
505	C₄×Dic₇	—	4	1	no	—
506	C₄×Dic₇	—	4	1	no	—
507	C₄×Dic₇	—	4	1	no	—
508	C₄×Dic₇	—	4	1	no	—
509	C₄×Dic₇	—	4	1	no	—
510	C₄×Dic₇	—	4	1	no	—
511	C₂×C₄⋊Q₈	C₂×D₇	1	1	yes	characteristic
512	C₂×#125	—	7	1	no	—
513	C₂×#125	—	7	1	no	—
514	C₂×#125	C₂×D₇	1	1	yes	characteristic
515	C₂×C₂²⋊Q₈	—	7	1	no	—
516	C₂×C₂²⋊Q₈	—	7	1	no	—
517	C₂²×C₄⋊C₄	—	7	1	no	—
518	C₂²×C₄⋊C₄	—	7	1	no	—
519	C₂²×C₄²	—	7	1	no	—
520	#401	—	7	1	no	—
521	#401	—	7	1	no	—
522	#401	—	7	1	no	—
523	#401	—	7	1	no	—
524	#400	—	7	1	no	—
525	#400	—	7	1	no	—
526	#400	—	7	1	no	—
527	#400	—	7	1	no	—
528	#400	—	7	1	no	—
529	#400	—	7	1	no	—
530	#400	—	7	1	no	—
531	#400	—	7	1	no	—
532	#400	—	7	1	no	—
533	#400	—	7	1	no	—
534	#400	—	7	1	no	—
535	#400	—	7	1	no	—
536	#400	—	7	1	no	—
537	#400	—	7	1	no	—
538	#400	—	7	1	no	—
539	#400	—	7	1	no	—
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	#400	—	7	1	no	—
546	#400	C₂×D₇	1	1	yes	characteristic
547	#400	C₂×D₇	1	1	yes	characteristic
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	#398	—	7	1	no	—
561	#398	—	7	1	no	—
562	#398	C₂×D₇	1	1	yes	characteristic
563	#398	C₂×D₇	1	1	yes	characteristic
564	#395	—	7	1	no	—
565	#395	—	7	1	no	—
566	#395	C₂×D₇	1	1	yes	characteristic
567	#395	C₂×D₇	1	1	yes	characteristic
568	#391	—	7	1	no	—
569	#391	—	7	1	no	—
570	#391	—	7	1	no	—
571	#391	—	7	1	no	—
572	#391	C₂×D₇	1	1	yes	characteristic
573	#391	C₂×D₇	1	1	yes	characteristic
574	#389	—	7	1	no	—
575	#389	—	7	1	no	—
576	#389	—	7	1	no	—
577	#389	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
588	#387	—	7	1	no	—
589	#387	—	7	1	no	—
590	#387	—	7	1	no	—
591	#387	—	7	1	no	—
592	#387	—	7	1	no	—
593	#387	—	7	1	no	—
594	#387	—	7	1	no	—
595	#387	—	7	1	no	—
596	#387	—	7	1	no	—
597	#387	—	7	1	no	—
598	#387	—	7	1	no	—
599	#387	—	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	C₂×D₇	1	1	yes	characteristic
625	#387	C₂×D₇	1	1	yes	characteristic
626	#387	C₂×D₇	1	1	yes	characteristic
627	#387	C₂×D₇	1	1	yes	characteristic
628	#385	—	7	1	no	—
629	#385	—	7	1	no	—
630	#385	—	7	1	no	—
631	#385	—	7	1	no	—
632	#385	—	7	1	no	—
633	#385	—	7	1	no	—
634	#385	—	7	1	no	—
635	#385	—	7	1	no	—
636	#385	—	7	1	no	—
637	#385	—	7	1	no	—
638	#385	—	7	1	no	—
639	#385	—	7	1	no	—
640	#384	—	7	1	no	—
641	#383	—	7	1	no	—
642	#383	—	7	1	no	—
643	#383	—	7	1	no	—
644	#383	—	7	1	no	—
645	#382	—	7	1	no	—
646	#382	—	7	1	no	—
647	#382	—	7	1	no	—
648	#381	—	7	1	no	—
649	#381	—	7	1	no	—
650	#381	—	7	1	no	—
651	#381	—	7	1	no	—
652	#380	—	7	1	no	—
653	#380	—	7	1	no	—
654	#380	—	7	1	no	—
655	#380	—	7	1	no	—
656	#380	—	7	1	no	—
657	#380	—	7	1	no	—
658	C₄×C₂²⋊C₄	—	7	1	no	—
659	C₄×C₂²⋊C₄	—	7	1	no	—
660	C₄×C₂²⋊C₄	—	7	1	no	—
661	C₄×C₂²⋊C₄	—	7	1	no	—
662	C₂×#95	—	7	1	no	—
663	C₂×#95	—	7	1	no	—
664	C₂×#95	—	7	1	no	—
665	C₂×#95	—	7	1	no	—
666	C₂³×C₇	C₂⁵	1	1	yes	characteristic
667	C₂²×D₇	—	2	1	no	—
668	C₂²×D₇	—	2	1	no	—
669	C₂²×D₇	—	2	1	no	—
670	C₂²×D₇	—	2	1	no	—
671	C₂²×D₇	C₂×#41	1	2	yes	—
672	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
673	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
674	C₇×Q₈	—	8	2	no	—
675	C₇×Q₈	—	8	2	no	—
676	C₂×C₄×C₇	—	2	1	no	—
677	C₂×C₄×C₇	—	2	1	no	—
678	C₂×C₄×C₇	—	2	1	no	—
679	C₂×C₄×C₇	—	2	1	no	—
680	C₂×C₄×C₇	—	2	1	no	—
681	C₂×C₄×C₇	—	2	1	no	—
682	C₂×C₄×C₇	—	2	1	no	—
683	C₂×C₄×C₇	—	2	1	no	—
684	C₂×C₄×C₇	—	2	1	no	—
685	C₂×C₄×C₇	—	2	1	no	—
686	C₂×C₄×C₇	—	2	1	no	—
687	C₂×C₄×C₇	—	2	1	no	—
688	C₂×C₄×C₇	—	2	1	no	—
689	C₂×C₄×C₇	—	2	1	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	C₂×#41	1	2	yes	—
719	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
720	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
721	C₂×Dic₇	—	2	1	no	—
722	C₂×Dic₇	—	2	1	no	—
723	C₂×Dic₇	—	2	1	no	—
724	C₂×Dic₇	—	2	1	no	—
725	C₂×Dic₇	—	2	1	no	—
726	C₂×Dic₇	—	2	1	no	—
727	C₂×Dic₇	—	2	1	no	—
728	C₂×Dic₇	—	2	1	no	—
729	C₂×Dic₇	—	2	1	no	—
730	C₂×Dic₇	—	2	1	no	—
731	C₂×Dic₇	—	2	1	no	—
732	C₂×Dic₇	—	2	1	no	—
733	C₂×Dic₇	—	2	1	no	—
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	C₂×#41	1	2	yes	—
766	C₄×D₇	—	4	4	no	—
767	C₄×D₇	—	4	4	no	—
768	C₄×D₇	—	4	4	no	—
769	C₄×D₇	—	4	4	no	—
770	C₄×D₇	—	4	4	no	—
771	C₄×D₇	—	8	2	no	—
772	C₄×D₇	—	8	2	no	—
773	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
774	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
775	C₂³×C₄	—	7	1	no	—
776	C₂³×C₄	—	7	1	no	—
777	C₂³×C₄	—	7	1	no	—
778	C₂³×C₄	—	7	1	no	—
779	C₂³×C₄	—	7	1	no	—
780	C₂³×C₄	—	7	1	no	—
781	C₂³×C₄	—	7	1	no	—
782	C₄⋊Q₈	—	4	2	no	—
783	#125	—	4	2	no	—
784	#125	—	28	2	no	—
785	#125	—	28	2	no	—
786	C₂²⋊Q₈	—	14	4	no	—
787	C₂²⋊Q₈	—	14	4	no	—
788	C₂×C₄⋊C₄	—	7	1	no	—
789	C₂×C₄⋊C₄	—	7	1	no	—
790	C₂×C₄⋊C₄	—	7	1	no	—
791	C₂×C₄⋊C₄	—	7	1	no	—
792	C₂×C₄⋊C₄	—	7	1	no	—
793	C₂×C₄⋊C₄	—	7	1	no	—
794	C₂×C₄⋊C₄	—	7	1	no	—
795	C₂×C₄⋊C₄	—	7	1	no	—
796	C₂×C₄⋊C₄	—	7	1	no	—
797	C₂×C₄⋊C₄	—	7	1	no	—
798	C₂×C₄⋊C₄	—	7	1	no	—
799	C₂×C₄⋊C₄	—	7	1	no	—
800	C₂×C₄⋊C₄	—	7	1	no	—
801	C₂×C₄⋊C₄	—	7	1	no	—
802	C₂×C₄⋊C₄	—	7	1	no	—
803	C₂×C₄⋊C₄	—	7	1	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	—	14	4	no	—
825	C₂×C₄⋊C₄	—	28	2	no	—
826	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
840	C₂×C₂²⋊C₄	—	7	1	no	—
841	C₂×C₂²⋊C₄	—	7	1	no	—
842	C₂×C₂²⋊C₄	—	7	1	no	—
843	C₂×C₂²⋊C₄	—	7	1	no	—
844	C₂×C₂²⋊C₄	—	7	1	no	—
845	C₂×C₂²⋊C₄	—	7	1	no	—
846	C₂×C₂²⋊C₄	—	7	1	no	—
847	C₂×C₂²⋊C₄	—	7	1	no	—
848	C₂×C₄²	—	7	1	no	—
849	C₂×C₄²	—	7	1	no	—
850	C₂×C₄²	—	7	1	no	—
851	C₂×C₄²	—	7	1	no	—
852	C₂×C₄²	—	7	1	no	—
853	C₂×C₄²	—	7	1	no	—
854	C₂×C₄²	—	7	1	no	—
855	C₂×C₄²	—	7	1	no	—
856	C₂×C₄²	—	7	1	no	—
857	C₂×C₄²	—	28	2	no	—
858	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
859	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
860	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
861	#95	—	7	1	no	—
862	#95	—	7	1	no	—
863	#95	—	7	1	no	—
864	#95	—	7	1	no	—
865	#95	—	7	1	no	—
866	#95	—	7	1	no	—
867	#95	—	7	1	no	—
868	#95	—	7	1	no	—
869	#95	—	7	1	no	—
870	#95	—	7	1	no	—
871	#95	—	7	1	no	—
872	#95	—	7	1	no	—
873	#95	—	7	1	no	—
874	#95	—	7	1	no	—
875	#95	—	7	1	no	—
876	#95	—	7	1	no	—
877	#95	—	7	1	no	—
878	#95	—	7	1	no	—
879	#95	—	7	1	no	—
880	#95	—	7	1	no	—
881	#95	—	7	1	no	—
882	#95	—	7	1	no	—
883	#95	—	7	1	no	—
884	#95	—	7	1	no	—
885	#95	—	7	1	no	—
886	#95	—	7	1	no	—
887	#95	—	7	1	no	—
888	#95	—	7	1	no	—
889	#95	—	7	1	no	—
890	#95	—	7	1	no	—
891	#95	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
922	#95	C₂²×D₇	1	1	yes	characteristic
923	#95	C₂²×D₇	1	1	yes	characteristic
924	#95	C₂²×D₇	1	1	yes	characteristic
925	#95	C₂²×D₇	1	1	yes	characteristic
926	#95	C₂²×D₇	1	1	yes	characteristic
927	#95	C₂²×D₇	1	1	yes	characteristic
928	#95	C₂²×D₇	1	1	yes	characteristic
929	#95	C₂²×D₇	1	1	yes	characteristic
930	#95	C₂²×D₇	1	1	yes	characteristic
931	#95	C₂²×D₇	1	1	yes	characteristic
932	#95	C₂²×D₇	1	1	yes	characteristic
933	#95	C₂²×D₇	1	1	yes	characteristic
934	#95	C₂²×D₇	1	1	yes	characteristic
935	#95	C₂²×D₇	1	1	yes	characteristic
936	#95	C₂²×D₇	1	1	yes	characteristic
937	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
938	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
939	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
940	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
941	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
942	C₂²×C₇	#585	1	1	yes	characteristic
943	C₂²×C₇	#585	1	1	yes	characteristic
944	C₂×D₇	—	2	2	no	—
945	C₂×D₇	—	2	2	no	—
946	C₂×D₇	—	2	2	no	—
947	C₂×D₇	—	2	2	no	—
948	C₂×D₇	—	2	2	no	—
949	C₂×D₇	—	2	2	no	—
950	C₂×D₇	#541	1	4	yes	—
951	C₄×C₇	—	2	2	no	—
952	C₄×C₇	—	2	2	no	—
953	C₄×C₇	—	2	2	no	—
954	C₄×C₇	—	4	1	no	—
955	C₄×C₇	—	4	1	no	—
956	C₄×C₇	—	4	1	no	—
957	C₄×C₇	—	4	1	no	—
958	C₄×C₇	—	4	1	no	—
959	C₄×C₇	—	4	1	no	—
960	C₄×C₇	—	4	1	no	—
961	C₄×C₇	—	4	1	no	—
962	C₄×C₇	—	4	1	no	—
963	C₄×C₇	—	4	1	no	—
964	C₄×C₇	—	4	1	no	—
965	C₄×C₇	—	4	1	no	—
966	Dic₇	—	2	2	no	—
967	Dic₇	—	4	1	no	—
968	Dic₇	—	4	1	no	—
969	Dic₇	—	4	1	no	—
970	Dic₇	—	4	1	no	—
971	Dic₇	—	4	1	no	—
972	Dic₇	—	4	1	no	—
973	Dic₇	—	4	1	no	—
974	Dic₇	—	4	1	no	—
975	Dic₇	—	4	1	no	—
976	Dic₇	—	4	1	no	—
977	Dic₇	—	4	1	no	—
978	Dic₇	—	4	1	no	—
979	Dic₇	—	4	1	no	—
980	Dic₇	—	4	1	no	—
981	C₂⁴	—	7	1	no	—
982	C₂×Q₈	—	2	2	no	—
983	C₂×Q₈	—	2	2	no	—
984	C₂×Q₈	—	4	1	no	—
985	C₂×Q₈	—	4	1	no	—
986	C₂×Q₈	—	4	1	no	—
987	C₂×Q₈	—	4	1	no	—
988	C₂²×C₄	—	7	1	no	—
989	C₂²×C₄	—	7	4	no	—
990	C₂²×C₄	—	7	1	no	—
991	C₂²×C₄	—	7	1	no	—
992	C₂²×C₄	—	7	1	no	—
993	C₂²×C₄	—	7	1	no	—
994	C₂²×C₄	—	7	1	no	—
995	C₂²×C₄	—	7	1	no	—
996	C₂²×C₄	—	7	1	no	—
997	C₂²×C₄	—	7	1	no	—
998	C₂²×C₄	—	7	1	no	—
999	C₂²×C₄	—	7	1	no	—
1000	C₂²×C₄	—	7	1	no	—
1001	C₂²×C₄	—	7	1	no	—
1002	C₂²×C₄	—	7	1	no	—
1003	C₂²×C₄	—	7	1	no	—
1004	C₂²×C₄	—	14	2	no	—
1005	C₂²×C₄	—	14	2	no	—
1006	C₂²×C₄	—	14	2	no	—
1007	C₂²×C₄	—	14	2	no	—
1008	C₂²×C₄	—	14	2	no	—
1009	C₂²×C₄	—	14	2	no	—
1010	C₂²×C₄	—	14	2	no	—
1011	C₂²×C₄	—	14	2	no	—
1012	C₂²×C₄	—	14	2	no	—
1013	C₂²×C₄	—	14	2	no	—
1014	C₂²×C₄	—	28	1	no	—
1015	C₂²×C₄	—	28	1	no	—
1016	C₂²×C₄	—	28	1	no	—
1017	C₂²×C₄	—	28	1	no	—
1018	C₂²×C₄	—	28	1	no	—
1019	C₂²×C₄	—	28	1	no	—
1020	C₂²×C₄	—	28	1	no	—
1021	C₂²×C₄	—	28	1	no	—
1022	C₂²×C₄	—	28	1	no	—
1023	C₂²×C₄	—	28	1	no	—
1024	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1029	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1030	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1031	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1032	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	2	2	no	—
1041	C₄⋊C₄	—	2	2	no	—
1042	C₄⋊C₄	—	2	2	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	4	1	no	—
1046	C₄⋊C₄	—	4	1	no	—
1047	C₄⋊C₄	—	4	1	no	—
1048	C₄⋊C₄	—	4	1	no	—
1049	C₄⋊C₄	—	4	1	no	—
1050	C₄⋊C₄	—	4	1	no	—
1051	C₄⋊C₄	—	4	1	no	—
1052	C₄⋊C₄	—	4	1	no	—
1053	C₄⋊C₄	—	14	2	no	—
1054	C₄⋊C₄	—	14	2	no	—
1055	C₄⋊C₄	—	14	2	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	—	28	1	no	—
1068	C₄⋊C₄	—	28	1	no	—
1069	C₄⋊C₄	—	28	1	no	—
1070	C₄⋊C₄	—	28	1	no	—
1071	C₄⋊C₄	—	28	1	no	—
1072	C₄⋊C₄	—	28	1	no	—
1073	C₄⋊C₄	—	28	1	no	—
1074	C₄⋊C₄	—	28	1	no	—
1075	C₄⋊C₄	—	28	1	no	—
1076	C₄⋊C₄	—	28	1	no	—
1077	C₄⋊C₄	—	28	1	no	—
1078	C₄⋊C₄	—	28	1	no	—
1079	C₄⋊C₄	—	28	1	no	—
1080	C₄⋊C₄	—	28	1	no	—
1081	C₄⋊C₄	—	28	1	no	—
1082	C₄⋊C₄	—	28	1	no	—
1083	C₄⋊C₄	—	28	1	no	—
1084	C₄⋊C₄	—	28	1	no	—
1085	C₄⋊C₄	—	28	1	no	—
1086	C₄⋊C₄	—	28	1	no	—
1087	C₄⋊C₄	—	28	1	no	—
1088	C₄⋊C₄	—	28	1	no	—
1089	C₂²⋊C₄	—	14	2	no	—
1090	C₂²⋊C₄	—	14	2	no	—
1091	C₂²⋊C₄	—	14	2	no	—
1092	C₂²⋊C₄	—	14	2	no	—
1093	C₂²⋊C₄	—	14	2	no	—
1094	C₂²⋊C₄	—	14	2	no	—
1095	C₂²⋊C₄	—	14	2	no	—
1096	C₂²⋊C₄	—	14	2	no	—
1097	C₄²	—	2	2	no	—
1098	C₄²	—	4	1	no	—
1099	C₄²	—	4	1	no	—
1100	C₄²	—	14	2	no	—
1101	C₄²	—	28	1	no	—
1102	C₄²	—	28	1	no	—
1103	C₄²	—	28	1	no	—
1104	C₄²	—	28	1	no	—
1105	C₄²	—	28	1	no	—
1106	C₄²	—	28	1	no	—
1107	C₄²	—	28	1	no	—
1108	C₄²	—	28	1	no	—
1109	C₂×C₇	C₂×#541	1	1	yes	characteristic
1110	C₂×C₇	#3505	1	1	yes	characteristic
1111	C₂×C₇	#3507	1	1	yes	characteristic
1112	C₂×C₇	#3535	1	1	yes	characteristic
1113	C₂×C₇	#3538	1	1	yes	characteristic
1114	C₂×C₇	#3563	1	1	yes	characteristic
1115	C₂×C₇	#3564	1	1	yes	characteristic
1116	D₇	—	2	4	no	—
1117	C₂³	—	7	2	no	—
1118	C₂³	—	7	2	no	—
1119	C₂³	—	7	2	no	—
1120	C₂³	—	14	1	no	—
1121	C₂³	—	14	1	no	—
1122	C₂³	—	14	1	no	—
1123	C₂³	—	14	1	no	—
1124	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1125	Q₈	—	8	2	no	—
1126	Q₈	—	8	2	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	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	—	7	2	no	—
1170	C₂×C₄	—	14	1	no	—
1171	C₂×C₄	—	14	1	no	—
1172	C₂×C₄	—	14	1	no	—
1173	C₂×C₄	—	14	1	no	—
1174	C₂×C₄	—	14	1	no	—
1175	C₂×C₄	—	14	1	no	—
1176	C₂×C₄	—	14	1	no	—
1177	C₂×C₄	—	14	1	no	—
1178	C₂×C₄	—	14	1	no	—
1179	C₂×C₄	—	14	1	no	—
1180	C₂×C₄	—	14	1	no	—
1181	C₂×C₄	—	14	1	no	—
1182	C₂×C₄	—	14	1	no	—
1183	C₂×C₄	—	14	1	no	—
1184	C₂×C₄	—	14	1	no	—
1185	C₂×C₄	—	14	1	no	—
1186	C₂×C₄	—	14	1	no	—
1187	C₂×C₄	—	14	1	no	—
1188	C₂×C₄	—	14	1	no	—
1189	C₂×C₄	—	14	1	no	—
1190	C₂×C₄	—	14	1	no	—
1191	C₂×C₄	—	14	1	no	—
1192	C₂×C₄	—	14	1	no	—
1193	C₂×C₄	—	14	1	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	—	28	4	no	—
1215	C₂×C₄	—	28	4	no	—
1216	C₂×C₄	—	28	4	no	—
1217	C₂×C₄	—	28	4	no	—
1218	C₂×C₄	—	28	4	no	—
1219	C₂×C₄	—	56	2	no	—
1220	C₂×C₄	—	56	2	no	—
1221	C₂×C₄	#6548	1	2	yes	—
1222	C₂×C₄	#6551	1	2	yes	—
1223	C₂×C₄	D₇×#41	1	2	yes	—
1224	C₇	#36762	1	1	yes	characteristic, complemented, Sylow
1225	C₂²	—	7	4	no	—
1226	C₂²	—	14	2	no	—
1227	C₂²	—	14	2	no	—
1228	C₂²	—	14	2	no	—
1229	C₂²	—	14	2	no	—
1230	C₂²	—	14	2	no	—
1231	C₂²	—	14	2	no	—
1232	C₂²	C₂×#6548	1	1	yes	characteristic
1233	C₂²	C₂×#6551	1	1	yes	characteristic
1234	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1235	C₂²	#90618	1	1	yes	characteristic
1236	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1237	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1238	C₂²	#90620	1	1	yes	characteristic
1239	C₄	—	2	2	no	—
1240	C₄	—	2	2	no	—
1241	C₄	—	2	2	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	14	2	no	—
1255	C₄	—	28	1	no	—
1256	C₄	—	28	1	no	—
1257	C₄	—	28	1	no	—
1258	C₄	—	28	1	no	—
1259	C₄	—	28	1	no	—
1260	C₄	—	28	1	no	—
1261	C₄	—	28	1	no	—
1262	C₄	—	28	1	no	—
1263	C₄	—	28	1	no	—
1264	C₄	—	28	1	no	—
1265	C₄	—	28	1	no	—
1266	C₄	—	28	1	no	—
1267	C₄	—	28	1	no	—
1268	C₄	—	28	1	no	—
1269	C₂	—	14	4	no	—
1270	C₂	#11743426	1	1	yes	characteristic
1271	C₂	D₇×#541	1	1	yes	characteristic
1272	C₂	#11743672	1	1	yes	characteristic
1273	C₂	#11743734	1	1	yes	characteristic
1274	C₂	#11743830	1	1	yes	characteristic
1275	C₂	#11744101	1	1	yes	characteristic
1276	C₂	#11744205	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2713	C₂
prime radical	C₂³×D₇	C₂⁴
hypercenter	#2713	D₇
hypocenter	C₇	#36762
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2713

Complements

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

N	H ≅ G/N	type
1. C₇×#2713	C₂	semidirect
3. #11740692	C₂	semidirect
4. #11740495	C₂	semidirect
8. #11735754	C₂	semidirect
9. #11735690	C₂	semidirect
11. #11735363	C₂	semidirect
12. #11735327	C₂	semidirect
16. #11734679	C₂	semidirect
17. #11734671	C₂	semidirect
20. #11734036	C₂	semidirect
21. #11734024	C₂	semidirect
23. #11733600	C₂	semidirect
28. #11732707	C₂	semidirect
29. #11732707	C₂	semidirect
30. #11732678	C₂	semidirect
31. #11732647	C₂	semidirect
369. #2713	D₇	semidirect
1224. C₇	#36762	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2713	2
#11740714	2
#11740692	2
#11740495	2
#11740477	2
#11735794	2
#11735793	2
#11735754	2
#11735690	2
#11735401	2
#11735363	2
#11735327	2
#11735202	2
#11734702	2
#11734679	2
#11734671	2
#11734057	2
#11734036	2
#11734024	2
#11733686	2
#11733600	2
#11732890	2
#11732783	2
#11732782	2
D₇×#387	2
#11732707	2
#11732678	2
#11732647	2
#36762	7