Subgroups — C₇×#36784 #13214000

Order 1792.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2853	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2783	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2779	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2772	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2757	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2753	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2744	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#2737	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2735	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2731	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2701	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2693	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2687	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2684	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2684	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2678	C₂	1	1	yes	maximal, characteristic
18	C₇×#2674	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2651	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2650	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2602	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2595	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2557	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#2534	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#2532	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#2531	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2439	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2411	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#2335	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#2312	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₇×#124	C₂²	1	1	yes	characteristic
34	C₂×C₇×#124	C₂²	1	1	yes	characteristic
35	C₂×C₇×#123	C₂²	1	1	yes	characteristic
36	C₂×C₇×#123	C₂²	1	1	yes	characteristic
37	C₂×C₇×#123	C₂²	1	1	yes	characteristic
38	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₇×#121	C₂²	1	1	yes	characteristic
41	C₂×C₇×#120	C₂²	1	1	yes	characteristic
42	C₂×C₇×#120	C₂²	1	1	yes	characteristic
43	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₇×#117	C₂²	1	1	yes	characteristic
45	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
47	C₇×#400	C₂²	1	1	yes	characteristic, complemented
48	C₇×#400	C₂²	1	1	yes	characteristic, complemented
49	C₇×#400	C₂²	1	1	yes	characteristic, complemented
50	C₇×#400	C₂²	1	1	yes	characteristic, complemented
51	C₇×#400	C₂²	1	1	yes	characteristic, complemented
52	C₇×#399	C₂²	1	1	yes	characteristic
53	C₇×#398	C₂²	1	1	yes	characteristic, complemented
54	C₇×#398	C₂²	1	1	yes	characteristic, complemented
55	C₇×#398	C₂²	1	1	yes	characteristic, complemented
56	C₇×#398	C₂²	1	1	yes	characteristic, complemented
57	C₇×#397	C₂²	1	1	yes	characteristic
58	C₇×#397	C₂²	1	1	yes	characteristic
59	C₇×#397	C₂²	1	1	yes	characteristic
60	C₇×#397	C₂²	1	1	yes	characteristic
61	C₇×#397	C₂²	1	1	yes	characteristic
62	C₇×#397	C₂²	1	1	yes	characteristic
63	C₇×#397	C₂²	1	1	yes	characteristic
64	C₇×#397	C₂²	1	1	yes	characteristic
65	C₇×#397	C₂²	1	1	yes	characteristic, complemented
66	C₇×#397	C₂²	1	1	yes	characteristic, complemented
67	C₇×#397	C₂²	1	1	yes	characteristic, complemented
68	C₇×#397	C₂²	1	1	yes	characteristic, complemented
69	C₇×#396	C₂²	1	1	yes	characteristic
70	C₇×#396	C₂²	1	1	yes	characteristic
71	C₇×#396	C₂²	1	1	yes	characteristic
72	C₇×#396	C₂²	1	1	yes	characteristic
73	C₇×#396	C₂²	1	1	yes	characteristic
74	C₇×#396	C₂²	1	1	yes	characteristic
75	C₇×#396	C₂²	1	1	yes	characteristic
76	C₇×#396	C₂²	1	1	yes	characteristic, complemented
77	C₇×#395	C₂²	1	1	yes	characteristic, complemented
78	C₇×#394	C₂²	1	1	yes	characteristic
79	C₇×#394	C₂²	1	1	yes	characteristic
80	C₇×#394	C₂²	1	1	yes	characteristic
81	C₇×#394	C₂²	1	1	yes	characteristic
82	C₇×#394	C₂²	1	1	yes	characteristic
83	C₇×#394	C₂²	1	1	yes	characteristic
84	C₇×#394	C₂²	1	1	yes	characteristic
85	C₇×#394	C₂²	1	1	yes	characteristic
86	C₇×#394	C₂²	1	1	yes	characteristic
87	C₇×#394	C₂²	1	1	yes	characteristic
88	C₇×#393	C₂²	1	1	yes	characteristic
89	C₇×#393	C₂²	1	1	yes	characteristic
90	C₇×#393	C₂²	1	1	yes	characteristic
91	C₇×#393	C₂²	1	1	yes	characteristic
92	C₇×#393	C₂²	1	1	yes	characteristic, complemented
93	C₇×#392	C₂²	1	1	yes	characteristic
94	C₇×#392	C₂²	1	1	yes	characteristic
95	C₇×#391	C₂²	1	1	yes	characteristic, complemented
96	C₇×#391	C₂²	1	1	yes	characteristic, complemented
97	C₇×#391	C₂²	1	1	yes	characteristic, complemented
98	C₇×#390	C₂²	1	1	yes	characteristic
99	C₇×#390	C₂²	1	1	yes	characteristic
100	C₇×#390	C₂²	1	1	yes	characteristic
101	C₇×#390	C₂²	1	1	yes	characteristic
102	C₇×#390	C₂²	1	1	yes	characteristic, complemented
103	C₇×#389	C₂²	1	1	yes	characteristic, complemented
104	C₇×#389	C₂²	1	1	yes	characteristic, complemented
105	C₇×#389	C₂²	1	1	yes	characteristic, complemented
106	C₇×#389	C₂²	1	1	yes	characteristic, complemented
107	C₇×#388	C₂²	1	1	yes	characteristic
108	C₇×#388	C₂²	1	1	yes	characteristic
109	C₇×#388	C₂²	1	1	yes	characteristic
110	C₇×#388	C₂²	1	1	yes	characteristic
111	C₇×#388	C₂²	1	1	yes	characteristic
112	C₇×#388	C₂²	1	1	yes	characteristic
113	C₇×#388	C₂²	1	1	yes	characteristic
114	C₇×#388	C₂²	1	1	yes	characteristic
115	C₇×#388	C₂²	1	1	yes	characteristic
116	C₇×#388	C₂²	1	1	yes	characteristic
117	C₇×#388	C₂²	1	1	yes	characteristic
118	C₇×#388	C₂²	1	1	yes	characteristic
119	C₇×#388	C₂²	1	1	yes	characteristic
120	C₇×#388	C₂²	1	1	yes	characteristic
121	C₇×#388	C₂²	1	1	yes	characteristic
122	C₇×#388	C₂²	1	1	yes	characteristic
123	C₇×#388	C₂²	1	1	yes	characteristic
124	C₇×#388	C₂²	1	1	yes	characteristic
125	C₇×#388	C₂²	1	1	yes	characteristic
126	C₇×#388	C₂²	1	1	yes	characteristic
127	C₇×#388	C₂²	1	1	yes	characteristic
128	C₇×#388	C₂²	1	1	yes	characteristic
129	C₇×#388	C₂²	1	1	yes	characteristic
130	C₇×#388	C₂²	1	1	yes	characteristic, complemented
131	C₇×#388	C₂²	1	1	yes	characteristic, complemented
132	C₇×#388	C₂²	1	1	yes	characteristic, complemented
133	C₇×#388	C₂²	1	1	yes	characteristic, complemented
134	C₇×#388	C₂²	1	1	yes	characteristic, complemented
135	C₇×#388	C₂²	1	1	yes	characteristic, complemented
136	C₇×#388	C₂²	1	1	yes	characteristic, complemented
137	C₇×#387	C₂²	1	1	yes	characteristic, complemented
138	C₇×#387	C₂²	1	1	yes	characteristic, complemented
139	C₇×#387	C₂²	1	1	yes	characteristic, complemented
140	C₇×#387	C₂²	1	1	yes	characteristic, complemented
141	C₇×#387	C₂²	1	1	yes	characteristic, complemented
142	C₇×#387	C₂²	1	1	yes	characteristic, complemented
143	C₇×#387	C₂²	1	1	yes	characteristic, complemented
144	C₇×#387	C₂²	1	1	yes	characteristic, complemented
145	C₇×#387	C₂²	1	1	yes	characteristic, complemented
146	C₇×#387	C₂²	1	1	yes	characteristic, complemented
147	C₇×#387	C₂²	1	1	yes	characteristic, complemented
148	C₇×#387	C₂²	1	1	yes	characteristic, complemented
149	C₇×#386	C₂²	1	1	yes	characteristic
150	C₇×#386	C₂²	1	1	yes	characteristic
151	C₇×#386	C₂²	1	1	yes	characteristic
152	C₇×#386	C₂²	1	1	yes	characteristic
153	C₇×#386	C₂²	1	1	yes	characteristic
154	C₇×#386	C₂²	1	1	yes	characteristic
155	C₇×#386	C₂²	1	1	yes	characteristic
156	C₇×#386	C₂²	1	1	yes	characteristic
157	C₇×#386	C₂²	1	1	yes	characteristic
158	C₇×#386	C₂²	1	1	yes	characteristic
159	C₇×#386	C₂²	1	1	yes	characteristic, complemented
160	C₇×#386	C₂²	1	1	yes	characteristic, complemented
161	C₇×#385	C₂²	1	1	yes	characteristic
162	C₇×#385	C₂²	1	1	yes	characteristic, complemented
163	C₇×#385	C₂²	1	1	yes	characteristic, complemented
164	C₇×#385	C₂²	1	1	yes	characteristic, complemented
165	C₇×#385	C₂²	1	1	yes	characteristic, complemented
166	C₇×#385	C₂²	1	1	yes	characteristic, complemented
167	C₇×#383	C₂²	1	1	yes	characteristic, complemented
168	C₇×#382	C₂²	1	1	yes	characteristic, complemented
169	C₇×#382	C₂²	1	1	yes	characteristic, complemented
170	C₇×#381	C₂²	1	1	yes	characteristic
171	C₇×#381	C₂²	1	1	yes	characteristic, complemented
172	C₇×#380	C₂²	1	1	yes	characteristic
173	C₇×#380	C₂²	1	1	yes	characteristic
174	C₇×#380	C₂²	1	1	yes	characteristic
175	C₇×#380	C₂²	1	1	yes	characteristic, complemented
176	C₇×#379	C₂²	1	1	yes	characteristic
177	C₇×#379	C₂²	1	1	yes	characteristic
178	C₇×#379	C₂²	1	1	yes	characteristic
179	C₇×#379	C₂²	1	1	yes	characteristic
180	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₇×#376	C₂²	1	1	yes	characteristic, complemented
187	#36784	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂⁵×C₇	C₂³	1	1	yes	characteristic
189	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
194	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
195	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
196	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
197	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
204	C₇×C₄⋊Q₈	—	4	2	no	—
205	C₇×#124	—	4	2	no	—
206	C₇×#124	—	4	2	no	—
207	C₇×#123	—	2	4	no	—
208	C₇×#123	—	4	2	no	—
209	C₇×#123	—	4	2	no	—
210	C₇×#123	—	4	2	no	—
211	C₇×C₂²⋊Q₈	—	4	2	no	—
212	C₇×#121	—	4	2	no	—
213	C₇×#120	—	4	2	no	—
214	C₇×#120	—	4	2	no	—
215	C₄×C₇×D₄	—	2	4	no	—
216	C₇×#117	—	4	2	no	—
217	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
247	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₇	—	4	2	no	—
300	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₇	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	#2853	C₂×C₇	1	1	yes	characteristic, complemented
359	#2850	C₂×C₇	1	1	yes	characteristic, complemented
360	#2783	C₂×C₇	1	1	yes	characteristic, complemented
361	#2779	C₂×C₇	1	1	yes	characteristic, complemented
362	#2772	C₂×C₇	1	1	yes	characteristic, complemented
363	#2757	C₂×C₇	1	1	yes	characteristic, complemented
364	#2753	C₂×C₇	1	1	yes	characteristic, complemented
365	#2744	C₂×C₇	1	1	yes	characteristic, complemented
366	#2737	C₂×C₇	1	1	yes	characteristic, complemented
367	#2735	C₂×C₇	1	1	yes	characteristic, complemented
368	#2731	C₂×C₇	1	1	yes	characteristic, complemented
369	#2701	C₂×C₇	1	1	yes	characteristic, complemented
370	#2693	C₂×C₇	1	1	yes	characteristic, complemented
371	#2687	C₂×C₇	1	1	yes	characteristic, complemented
372	#2684	C₂×C₇	1	1	yes	characteristic, complemented
373	#2684	C₂×C₇	1	1	yes	characteristic, complemented
374	#2678	C₂×C₇	1	1	yes	characteristic
375	#2674	C₂×C₇	1	1	yes	characteristic, complemented
376	#2651	C₂×C₇	1	1	yes	characteristic, complemented
377	#2650	C₂×C₇	1	1	yes	characteristic, complemented
378	#2602	C₂×C₇	1	1	yes	characteristic, complemented
379	#2595	C₂×C₇	1	1	yes	characteristic, complemented
380	#2557	C₂×C₇	1	1	yes	characteristic, complemented
381	#2534	C₂×C₇	1	1	yes	characteristic, complemented
382	#2532	C₂×C₇	1	1	yes	characteristic, complemented
383	#2531	C₂×C₇	1	1	yes	characteristic, complemented
384	#2439	C₂×C₇	1	1	yes	characteristic, complemented
385	#2411	C₂×C₇	1	1	yes	characteristic, complemented
386	#2335	C₂×C₇	1	1	yes	characteristic, complemented
387	#2312	C₂×C₇	1	1	yes	characteristic, complemented
388	#2290	C₂×C₇	1	1	yes	characteristic, complemented
389	C₂⁴×C₇	—	2	2	no	—
390	C₂⁴×C₇	—	4	1	no	—
391	C₂⁴×C₇	—	4	1	no	—
392	C₂⁴×C₇	—	4	1	no	—
393	C₂⁴×C₇	—	4	1	no	—
394	C₂⁴×C₇	—	4	1	no	—
395	C₂⁴×C₇	—	4	1	no	—
396	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
398	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
399	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
400	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
401	C₂×C₇×Q₈	—	2	2	no	—
402	C₂×C₇×Q₈	—	4	1	no	—
403	C₂×C₇×Q₈	—	4	1	no	—
404	C₂×C₇×Q₈	—	4	1	no	—
405	C₂×C₇×Q₈	—	4	1	no	—
406	C₂×C₇×Q₈	—	4	1	no	—
407	C₂×C₇×D₄	—	2	2	no	—
408	C₂×C₇×D₄	—	2	2	no	—
409	C₂×C₇×D₄	—	2	2	no	—
410	C₂×C₇×D₄	—	2	2	no	—
411	C₂×C₇×D₄	—	2	2	no	—
412	C₂×C₇×D₄	—	2	2	no	—
413	C₂×C₇×D₄	—	2	2	no	—
414	C₂×C₇×D₄	—	4	1	no	—
415	C₂×C₇×D₄	—	4	1	no	—
416	C₂×C₇×D₄	—	4	1	no	—
417	C₂×C₇×D₄	—	4	1	no	—
418	C₂×C₇×D₄	—	4	1	no	—
419	C₂×C₇×D₄	—	4	1	no	—
420	C₂×C₇×D₄	—	4	1	no	—
421	C₂×C₇×D₄	—	4	1	no	—
422	C₂×C₇×D₄	—	4	1	no	—
423	C₂×C₇×D₄	—	4	1	no	—
424	C₂×C₇×D₄	—	4	1	no	—
425	C₂×C₇×D₄	—	4	1	no	—
426	C₂×C₇×D₄	—	4	1	no	—
427	C₂×C₇×D₄	—	4	1	no	—
428	C₂²×C₄×C₇	—	2	2	no	—
429	C₂²×C₄×C₇	—	2	2	no	—
430	C₂²×C₄×C₇	—	2	2	no	—
431	C₂²×C₄×C₇	—	2	2	no	—
432	C₂²×C₄×C₇	—	4	1	no	—
433	C₂²×C₄×C₇	—	4	1	no	—
434	C₂²×C₄×C₇	—	4	1	no	—
435	C₂²×C₄×C₇	—	4	1	no	—
436	C₂²×C₄×C₇	—	4	1	no	—
437	C₂²×C₄×C₇	—	4	1	no	—
438	C₂²×C₄×C₇	—	4	1	no	—
439	C₂²×C₄×C₇	—	4	1	no	—
440	C₂²×C₄×C₇	—	4	1	no	—
441	C₂²×C₄×C₇	—	4	1	no	—
442	C₂²×C₄×C₇	—	4	1	no	—
443	C₂²×C₄×C₇	—	4	1	no	—
444	C₂²×C₄×C₇	—	4	1	no	—
445	C₂²×C₄×C₇	#41	1	4	yes	—
446	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
472	C₇×C₄⋊C₄	—	2	2	no	—
473	C₇×C₄⋊C₄	—	2	2	no	—
474	C₇×C₄⋊C₄	—	2	2	no	—
475	C₇×C₄⋊C₄	—	2	2	no	—
476	C₇×C₄⋊C₄	—	2	2	no	—
477	C₇×C₄⋊C₄	—	4	1	no	—
478	C₇×C₄⋊C₄	—	4	1	no	—
479	C₇×C₄⋊C₄	—	4	1	no	—
480	C₇×C₄⋊C₄	—	4	1	no	—
481	C₇×C₄⋊C₄	—	4	1	no	—
482	C₇×C₄⋊C₄	—	4	1	no	—
483	C₇×C₄⋊C₄	—	4	1	no	—
484	C₇×C₄⋊C₄	—	4	1	no	—
485	C₇×C₄⋊C₄	—	4	1	no	—
486	C₇×C₄⋊C₄	—	4	1	no	—
487	C₇×C₄⋊C₄	—	4	1	no	—
488	C₇×C₄⋊C₄	—	4	1	no	—
489	C₇×C₄⋊C₄	—	4	1	no	—
490	C₇×C₄⋊C₄	—	4	1	no	—
491	C₇×C₄⋊C₄	—	4	1	no	—
492	C₇×C₄⋊C₄	—	4	1	no	—
493	C₇×C₄⋊C₄	—	4	1	no	—
494	C₇×C₄⋊C₄	—	4	1	no	—
495	C₇×C₄⋊C₄	—	4	1	no	—
496	C₇×C₄⋊C₄	—	4	1	no	—
497	C₇×C₄⋊C₄	—	4	1	no	—
498	C₇×C₄⋊C₄	—	4	1	no	—
499	C₇×C₄⋊C₄	—	4	1	no	—
500	C₇×C₄⋊C₄	—	4	1	no	—
501	C₇×C₂²⋊C₄	—	2	2	no	—
502	C₇×C₂²⋊C₄	—	2	2	no	—
503	C₇×C₂²⋊C₄	—	2	2	no	—
504	C₇×C₂²⋊C₄	—	2	2	no	—
505	C₇×C₂²⋊C₄	—	2	2	no	—
506	C₇×C₂²⋊C₄	—	2	2	no	—
507	C₇×C₂²⋊C₄	—	2	2	no	—
508	C₇×C₂²⋊C₄	—	2	2	no	—
509	C₇×C₂²⋊C₄	—	2	2	no	—
510	C₇×C₂²⋊C₄	—	2	2	no	—
511	C₇×C₂²⋊C₄	—	2	2	no	—
512	C₇×C₂²⋊C₄	—	2	2	no	—
513	C₇×C₂²⋊C₄	—	2	2	no	—
514	C₇×C₂²⋊C₄	—	2	2	no	—
515	C₇×C₂²⋊C₄	—	2	2	no	—
516	C₇×C₂²⋊C₄	—	4	1	no	—
517	C₇×C₂²⋊C₄	—	4	1	no	—
518	C₇×C₂²⋊C₄	—	4	1	no	—
519	C₇×C₂²⋊C₄	—	4	1	no	—
520	C₇×C₂²⋊C₄	—	4	1	no	—
521	C₇×C₂²⋊C₄	—	4	1	no	—
522	C₇×C₂²⋊C₄	—	4	1	no	—
523	C₇×C₂²⋊C₄	—	4	1	no	—
524	C₇×C₂²⋊C₄	—	4	1	no	—
525	C₇×C₂²⋊C₄	—	4	1	no	—
526	C₇×C₂²⋊C₄	—	4	1	no	—
527	C₇×C₂²⋊C₄	—	4	1	no	—
528	C₇×C₂²⋊C₄	—	4	1	no	—
529	C₇×C₂²⋊C₄	—	4	1	no	—
530	C₇×C₂²⋊C₄	—	4	1	no	—
531	C₇×C₂²⋊C₄	—	4	1	no	—
532	C₇×C₂²⋊C₄	—	4	1	no	—
533	C₇×C₂²⋊C₄	—	4	1	no	—
534	C₇×C₂²⋊C₄	—	4	1	no	—
535	C₇×C₂²⋊C₄	—	4	1	no	—
536	C₇×C₂²⋊C₄	—	4	1	no	—
537	C₇×C₂²⋊C₄	—	4	1	no	—
538	C₇×C₂²⋊C₄	—	4	1	no	—
539	C₇×C₂²⋊C₄	—	4	1	no	—
540	C₇×C₂²⋊C₄	—	4	1	no	—
541	C₇×C₂²⋊C₄	—	4	1	no	—
542	C₇×C₂²⋊C₄	—	4	1	no	—
543	C₇×C₂²⋊C₄	—	4	1	no	—
544	C₇×C₂²⋊C₄	—	4	1	no	—
545	C₇×C₂²⋊C₄	—	4	1	no	—
546	C₇×C₂²⋊C₄	—	4	1	no	—
547	C₇×C₂²⋊C₄	—	4	1	no	—
548	C₇×C₂²⋊C₄	—	4	1	no	—
549	C₇×C₂²⋊C₄	—	4	1	no	—
550	C₇×C₂²⋊C₄	—	4	1	no	—
551	C₇×C₂²⋊C₄	—	4	1	no	—
552	C₇×C₂²⋊C₄	—	4	1	no	—
553	C₄²×C₇	—	2	2	no	—
554	C₄²×C₇	—	2	2	no	—
555	C₄²×C₇	—	2	2	no	—
556	C₄²×C₇	—	4	1	no	—
557	C₄²×C₇	—	4	1	no	—
558	C₄²×C₇	—	4	1	no	—
559	C₄²×C₇	—	4	1	no	—
560	C₄²×C₇	—	4	1	no	—
561	C₄²×C₇	—	4	1	no	—
562	C₄²×C₇	—	4	1	no	—
563	C₄²×C₇	—	4	1	no	—
564	C₄²×C₇	—	4	1	no	—
565	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
566	C₂×#124	C₂²×C₇	1	1	yes	characteristic
567	C₂×#124	C₂²×C₇	1	1	yes	characteristic
568	C₂×#123	C₂²×C₇	1	1	yes	characteristic
569	C₂×#123	C₂²×C₇	1	1	yes	characteristic
570	C₂×#123	C₂²×C₇	1	1	yes	characteristic
571	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
572	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
573	C₂×#121	C₂²×C₇	1	1	yes	characteristic
574	C₂×#120	C₂²×C₇	1	1	yes	characteristic
575	C₂×#120	C₂²×C₇	1	1	yes	characteristic
576	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
577	C₂×#117	C₂²×C₇	1	1	yes	characteristic
578	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
579	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
580	#400	C₂²×C₇	1	1	yes	characteristic, complemented
581	#400	C₂²×C₇	1	1	yes	characteristic, complemented
582	#400	C₂²×C₇	1	1	yes	characteristic, complemented
583	#400	C₂²×C₇	1	1	yes	characteristic, complemented
584	#400	C₂²×C₇	1	1	yes	characteristic, complemented
585	#399	C₂²×C₇	1	1	yes	characteristic
586	#398	C₂²×C₇	1	1	yes	characteristic, complemented
587	#398	C₂²×C₇	1	1	yes	characteristic, complemented
588	#398	C₂²×C₇	1	1	yes	characteristic, complemented
589	#398	C₂²×C₇	1	1	yes	characteristic, complemented
590	#397	C₂²×C₇	1	1	yes	characteristic
591	#397	C₂²×C₇	1	1	yes	characteristic
592	#397	C₂²×C₇	1	1	yes	characteristic
593	#397	C₂²×C₇	1	1	yes	characteristic
594	#397	C₂²×C₇	1	1	yes	characteristic
595	#397	C₂²×C₇	1	1	yes	characteristic
596	#397	C₂²×C₇	1	1	yes	characteristic
597	#397	C₂²×C₇	1	1	yes	characteristic
598	#397	C₂²×C₇	1	1	yes	characteristic, complemented
599	#397	C₂²×C₇	1	1	yes	characteristic, complemented
600	#397	C₂²×C₇	1	1	yes	characteristic, complemented
601	#397	C₂²×C₇	1	1	yes	characteristic, complemented
602	#396	C₂²×C₇	1	1	yes	characteristic
603	#396	C₂²×C₇	1	1	yes	characteristic
604	#396	C₂²×C₇	1	1	yes	characteristic
605	#396	C₂²×C₇	1	1	yes	characteristic
606	#396	C₂²×C₇	1	1	yes	characteristic
607	#396	C₂²×C₇	1	1	yes	characteristic
608	#396	C₂²×C₇	1	1	yes	characteristic
609	#396	C₂²×C₇	1	1	yes	characteristic, complemented
610	#395	C₂²×C₇	1	1	yes	characteristic, complemented
611	#394	C₂²×C₇	1	1	yes	characteristic
612	#394	C₂²×C₇	1	1	yes	characteristic
613	#394	C₂²×C₇	1	1	yes	characteristic
614	#394	C₂²×C₇	1	1	yes	characteristic
615	#394	C₂²×C₇	1	1	yes	characteristic
616	#394	C₂²×C₇	1	1	yes	characteristic
617	#394	C₂²×C₇	1	1	yes	characteristic
618	#394	C₂²×C₇	1	1	yes	characteristic
619	#394	C₂²×C₇	1	1	yes	characteristic
620	#394	C₂²×C₇	1	1	yes	characteristic
621	#393	C₂²×C₇	1	1	yes	characteristic
622	#393	C₂²×C₇	1	1	yes	characteristic
623	#393	C₂²×C₇	1	1	yes	characteristic
624	#393	C₂²×C₇	1	1	yes	characteristic
625	#393	C₂²×C₇	1	1	yes	characteristic, complemented
626	#392	C₂²×C₇	1	1	yes	characteristic
627	#392	C₂²×C₇	1	1	yes	characteristic
628	#391	C₂²×C₇	1	1	yes	characteristic, complemented
629	#391	C₂²×C₇	1	1	yes	characteristic, complemented
630	#391	C₂²×C₇	1	1	yes	characteristic, complemented
631	#390	C₂²×C₇	1	1	yes	characteristic
632	#390	C₂²×C₇	1	1	yes	characteristic
633	#390	C₂²×C₇	1	1	yes	characteristic
634	#390	C₂²×C₇	1	1	yes	characteristic
635	#390	C₂²×C₇	1	1	yes	characteristic, complemented
636	#389	C₂²×C₇	1	1	yes	characteristic, complemented
637	#389	C₂²×C₇	1	1	yes	characteristic, complemented
638	#389	C₂²×C₇	1	1	yes	characteristic, complemented
639	#389	C₂²×C₇	1	1	yes	characteristic, complemented
640	#388	C₂²×C₇	1	1	yes	characteristic
641	#388	C₂²×C₇	1	1	yes	characteristic
642	#388	C₂²×C₇	1	1	yes	characteristic
643	#388	C₂²×C₇	1	1	yes	characteristic
644	#388	C₂²×C₇	1	1	yes	characteristic
645	#388	C₂²×C₇	1	1	yes	characteristic
646	#388	C₂²×C₇	1	1	yes	characteristic
647	#388	C₂²×C₇	1	1	yes	characteristic
648	#388	C₂²×C₇	1	1	yes	characteristic
649	#388	C₂²×C₇	1	1	yes	characteristic
650	#388	C₂²×C₇	1	1	yes	characteristic
651	#388	C₂²×C₇	1	1	yes	characteristic
652	#388	C₂²×C₇	1	1	yes	characteristic
653	#388	C₂²×C₇	1	1	yes	characteristic
654	#388	C₂²×C₇	1	1	yes	characteristic
655	#388	C₂²×C₇	1	1	yes	characteristic
656	#388	C₂²×C₇	1	1	yes	characteristic
657	#388	C₂²×C₇	1	1	yes	characteristic
658	#388	C₂²×C₇	1	1	yes	characteristic
659	#388	C₂²×C₇	1	1	yes	characteristic
660	#388	C₂²×C₇	1	1	yes	characteristic
661	#388	C₂²×C₇	1	1	yes	characteristic
662	#388	C₂²×C₇	1	1	yes	characteristic
663	#388	C₂²×C₇	1	1	yes	characteristic, complemented
664	#388	C₂²×C₇	1	1	yes	characteristic, complemented
665	#388	C₂²×C₇	1	1	yes	characteristic, complemented
666	#388	C₂²×C₇	1	1	yes	characteristic, complemented
667	#388	C₂²×C₇	1	1	yes	characteristic, complemented
668	#388	C₂²×C₇	1	1	yes	characteristic, complemented
669	#388	C₂²×C₇	1	1	yes	characteristic, complemented
670	#387	C₂²×C₇	1	1	yes	characteristic, complemented
671	#387	C₂²×C₇	1	1	yes	characteristic, complemented
672	#387	C₂²×C₇	1	1	yes	characteristic, complemented
673	#387	C₂²×C₇	1	1	yes	characteristic, complemented
674	#387	C₂²×C₇	1	1	yes	characteristic, complemented
675	#387	C₂²×C₇	1	1	yes	characteristic, complemented
676	#387	C₂²×C₇	1	1	yes	characteristic, complemented
677	#387	C₂²×C₇	1	1	yes	characteristic, complemented
678	#387	C₂²×C₇	1	1	yes	characteristic, complemented
679	#387	C₂²×C₇	1	1	yes	characteristic, complemented
680	#387	C₂²×C₇	1	1	yes	characteristic, complemented
681	#387	C₂²×C₇	1	1	yes	characteristic, complemented
682	#386	C₂²×C₇	1	1	yes	characteristic
683	#386	C₂²×C₇	1	1	yes	characteristic
684	#386	C₂²×C₇	1	1	yes	characteristic
685	#386	C₂²×C₇	1	1	yes	characteristic
686	#386	C₂²×C₇	1	1	yes	characteristic
687	#386	C₂²×C₇	1	1	yes	characteristic
688	#386	C₂²×C₇	1	1	yes	characteristic
689	#386	C₂²×C₇	1	1	yes	characteristic
690	#386	C₂²×C₇	1	1	yes	characteristic
691	#386	C₂²×C₇	1	1	yes	characteristic
692	#386	C₂²×C₇	1	1	yes	characteristic, complemented
693	#386	C₂²×C₇	1	1	yes	characteristic, complemented
694	#385	C₂²×C₇	1	1	yes	characteristic
695	#385	C₂²×C₇	1	1	yes	characteristic, complemented
696	#385	C₂²×C₇	1	1	yes	characteristic, complemented
697	#385	C₂²×C₇	1	1	yes	characteristic, complemented
698	#385	C₂²×C₇	1	1	yes	characteristic, complemented
699	#385	C₂²×C₇	1	1	yes	characteristic, complemented
700	#383	C₂²×C₇	1	1	yes	characteristic, complemented
701	#382	C₂²×C₇	1	1	yes	characteristic, complemented
702	#382	C₂²×C₇	1	1	yes	characteristic, complemented
703	#381	C₂²×C₇	1	1	yes	characteristic
704	#381	C₂²×C₇	1	1	yes	characteristic, complemented
705	#380	C₂²×C₇	1	1	yes	characteristic
706	#380	C₂²×C₇	1	1	yes	characteristic
707	#380	C₂²×C₇	1	1	yes	characteristic
708	#380	C₂²×C₇	1	1	yes	characteristic, complemented
709	#379	C₂²×C₇	1	1	yes	characteristic
710	#379	C₂²×C₇	1	1	yes	characteristic
711	#379	C₂²×C₇	1	1	yes	characteristic
712	#379	C₂²×C₇	1	1	yes	characteristic
713	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
714	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
715	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
716	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
717	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
718	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
719	#376	C₂²×C₇	1	1	yes	characteristic, complemented
720	C₂³×C₇	—	2	1	no	—
721	C₂³×C₇	—	2	1	no	—
722	C₂³×C₇	—	2	1	no	—
723	C₂³×C₇	—	2	1	no	—
724	C₂³×C₇	—	2	1	no	—
725	C₂³×C₇	—	2	1	no	—
726	C₂³×C₇	—	2	1	no	—
727	C₂³×C₇	—	2	1	no	—
728	C₂³×C₇	—	2	1	no	—
729	C₂³×C₇	—	2	1	no	—
730	C₂³×C₇	—	2	1	no	—
731	C₂³×C₇	—	2	1	no	—
732	C₂³×C₇	—	2	1	no	—
733	C₂³×C₇	—	2	1	no	—
734	C₂³×C₇	—	2	1	no	—
735	C₂³×C₇	—	2	1	no	—
736	C₂³×C₇	—	2	1	no	—
737	C₂³×C₇	—	2	1	no	—
738	C₂³×C₇	—	2	1	no	—
739	C₂³×C₇	—	2	1	no	—
740	C₂³×C₇	—	2	1	no	—
741	C₂³×C₇	—	2	1	no	—
742	C₂³×C₇	—	2	1	no	—
743	C₂³×C₇	—	2	1	no	—
744	C₂³×C₇	—	2	1	no	—
745	C₂³×C₇	—	2	1	no	—
746	C₂³×C₇	—	2	1	no	—
747	C₂³×C₇	—	2	1	no	—
748	C₂³×C₇	—	2	1	no	—
749	C₂³×C₇	—	2	1	no	—
750	C₂³×C₇	—	2	1	no	—
751	C₂³×C₇	—	2	1	no	—
752	C₂³×C₇	—	2	1	no	—
753	C₂³×C₇	—	4	4	no	—
754	C₂³×C₇	—	8	2	no	—
755	C₂³×C₇	—	8	2	no	—
756	C₂³×C₇	—	8	2	no	—
757	C₂³×C₇	—	8	2	no	—
758	C₂³×C₇	—	8	2	no	—
759	C₂³×C₇	—	8	2	no	—
760	C₂³×C₇	C₂×#41	1	2	yes	—
761	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
762	C₂³×C₇	C₂⁵	1	1	yes	characteristic
763	C₇×Q₈	—	8	2	no	—
764	C₇×Q₈	—	8	2	no	—
765	C₇×D₄	—	4	4	no	—
766	C₇×D₄	—	8	2	no	—
767	C₇×D₄	—	8	2	no	—
768	C₇×D₄	—	8	2	no	—
769	C₇×D₄	—	8	2	no	—
770	C₇×D₄	—	8	2	no	—
771	C₇×D₄	—	8	2	no	—
772	C₂×C₄×C₇	—	2	1	no	—
773	C₂×C₄×C₇	—	2	1	no	—
774	C₂×C₄×C₇	—	2	1	no	—
775	C₂×C₄×C₇	—	2	1	no	—
776	C₂×C₄×C₇	—	2	1	no	—
777	C₂×C₄×C₇	—	2	1	no	—
778	C₂×C₄×C₇	—	2	1	no	—
779	C₂×C₄×C₇	—	2	1	no	—
780	C₂×C₄×C₇	—	2	1	no	—
781	C₂×C₄×C₇	—	2	1	no	—
782	C₂×C₄×C₇	—	2	1	no	—
783	C₂×C₄×C₇	—	2	1	no	—
784	C₂×C₄×C₇	—	2	1	no	—
785	C₂×C₄×C₇	—	2	1	no	—
786	C₂×C₄×C₇	—	2	1	no	—
787	C₂×C₄×C₇	—	2	1	no	—
788	C₂×C₄×C₇	—	2	1	no	—
789	C₂×C₄×C₇	—	2	1	no	—
790	C₂×C₄×C₇	—	2	1	no	—
791	C₂×C₄×C₇	—	2	1	no	—
792	C₂×C₄×C₇	—	2	1	no	—
793	C₂×C₄×C₇	—	2	1	no	—
794	C₂×C₄×C₇	—	2	1	no	—
795	C₂×C₄×C₇	—	2	1	no	—
796	C₂×C₄×C₇	—	2	1	no	—
797	C₂×C₄×C₇	—	2	1	no	—
798	C₂×C₄×C₇	—	2	1	no	—
799	C₂×C₄×C₇	—	2	1	no	—
800	C₂×C₄×C₇	—	2	1	no	—
801	C₂×C₄×C₇	—	2	1	no	—
802	C₂×C₄×C₇	—	2	1	no	—
803	C₂×C₄×C₇	—	2	1	no	—
804	C₂×C₄×C₇	—	2	1	no	—
805	C₂×C₄×C₇	—	2	1	no	—
806	C₂×C₄×C₇	—	2	1	no	—
807	C₂×C₄×C₇	—	2	1	no	—
808	C₂×C₄×C₇	—	2	1	no	—
809	C₂×C₄×C₇	—	2	1	no	—
810	C₂×C₄×C₇	—	2	1	no	—
811	C₂×C₄×C₇	—	2	1	no	—
812	C₂×C₄×C₇	—	2	1	no	—
813	C₂×C₄×C₇	—	2	1	no	—
814	C₂×C₄×C₇	—	2	1	no	—
815	C₂×C₄×C₇	—	2	1	no	—
816	C₂×C₄×C₇	—	2	1	no	—
817	C₂×C₄×C₇	—	2	1	no	—
818	C₂×C₄×C₇	—	2	1	no	—
819	C₂×C₄×C₇	—	2	1	no	—
820	C₂×C₄×C₇	—	2	1	no	—
821	C₂×C₄×C₇	—	2	1	no	—
822	C₂×C₄×C₇	—	2	1	no	—
823	C₂×C₄×C₇	—	2	1	no	—
824	C₂×C₄×C₇	—	2	1	no	—
825	C₂×C₄×C₇	—	2	1	no	—
826	C₂×C₄×C₇	—	2	1	no	—
827	C₂×C₄×C₇	—	2	1	no	—
828	C₂×C₄×C₇	—	2	1	no	—
829	C₂×C₄×C₇	—	2	1	no	—
830	C₂×C₄×C₇	—	2	1	no	—
831	C₂×C₄×C₇	—	2	1	no	—
832	C₂×C₄×C₇	—	2	1	no	—
833	C₂×C₄×C₇	—	2	1	no	—
834	C₂×C₄×C₇	—	2	1	no	—
835	C₂×C₄×C₇	—	2	1	no	—
836	C₂×C₄×C₇	—	2	1	no	—
837	C₂×C₄×C₇	—	2	1	no	—
838	C₂×C₄×C₇	—	2	1	no	—
839	C₂×C₄×C₇	—	2	1	no	—
840	C₂×C₄×C₇	—	2	1	no	—
841	C₂×C₄×C₇	—	2	1	no	—
842	C₂×C₄×C₇	—	2	1	no	—
843	C₂×C₄×C₇	—	2	1	no	—
844	C₂×C₄×C₇	—	2	1	no	—
845	C₂×C₄×C₇	—	2	1	no	—
846	C₂×C₄×C₇	—	2	1	no	—
847	C₂×C₄×C₇	—	4	4	no	—
848	C₂×C₄×C₇	—	4	4	no	—
849	C₂×C₄×C₇	—	4	4	no	—
850	C₂×C₄×C₇	—	4	4	no	—
851	C₂×C₄×C₇	—	8	2	no	—
852	C₂×C₄×C₇	—	8	2	no	—
853	C₂×C₄×C₇	C₂×#41	1	2	yes	—
854	C₂×C₄×C₇	C₂×#41	1	2	yes	—
855	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
856	C₂⁵	C₂³×C₇	1	1	yes	characteristic
857	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
858	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
859	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
860	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
861	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
862	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
863	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
864	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
865	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
866	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
867	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
868	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
869	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
870	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
871	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
872	C₄⋊Q₈	—	4	2	no	—
873	#124	—	4	2	no	—
874	#124	—	4	2	no	—
875	#123	—	2	4	no	—
876	#123	—	4	2	no	—
877	#123	—	4	2	no	—
878	#123	—	4	2	no	—
879	C₂²⋊Q₈	—	4	2	no	—
880	#121	—	4	2	no	—
881	#120	—	4	2	no	—
882	#120	—	4	2	no	—
883	C₄×D₄	—	2	4	no	—
884	#117	—	4	2	no	—
885	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	—	2	4	no	—
915	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
916	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
917	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
921	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
950	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
951	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
952	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
955	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
967	C₂×C₄²	—	4	2	no	—
968	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
969	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
970	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
971	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
972	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
973	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
974	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
975	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
976	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
977	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
978	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
979	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
980	#95	C₂³×C₇	1	1	yes	characteristic
981	#95	C₂³×C₇	1	1	yes	characteristic
982	#95	C₂³×C₇	1	1	yes	characteristic
983	#95	C₂³×C₇	1	1	yes	characteristic
984	#95	C₂³×C₇	1	1	yes	characteristic
985	#95	C₂³×C₇	1	1	yes	characteristic
986	#95	C₂³×C₇	1	1	yes	characteristic
987	#95	C₂³×C₇	1	1	yes	characteristic
988	#95	C₂³×C₇	1	1	yes	characteristic
989	#95	C₂³×C₇	1	1	yes	characteristic
990	#95	C₂³×C₇	1	1	yes	characteristic
991	#95	C₂³×C₇	1	1	yes	characteristic
992	#95	C₂³×C₇	1	1	yes	characteristic
993	#95	C₂³×C₇	1	1	yes	characteristic
994	#95	C₂³×C₇	1	1	yes	characteristic
995	#95	C₂³×C₇	1	1	yes	characteristic
996	#95	C₂³×C₇	1	1	yes	characteristic
997	#95	C₂³×C₇	1	1	yes	characteristic
998	#95	C₂³×C₇	1	1	yes	characteristic
999	#95	C₂³×C₇	1	1	yes	characteristic
1000	#95	C₂³×C₇	1	1	yes	characteristic
1001	#95	C₂³×C₇	1	1	yes	characteristic
1002	#95	C₂³×C₇	1	1	yes	characteristic
1003	#95	C₂³×C₇	1	1	yes	characteristic
1004	#95	C₂³×C₇	1	1	yes	characteristic
1005	#95	C₂³×C₇	1	1	yes	characteristic
1006	#95	C₂³×C₇	1	1	yes	characteristic
1007	#95	C₂³×C₇	1	1	yes	characteristic
1008	#95	C₂³×C₇	1	1	yes	characteristic
1009	#95	C₂³×C₇	1	1	yes	characteristic
1010	#95	C₂³×C₇	1	1	yes	characteristic
1011	#95	C₂³×C₇	1	1	yes	characteristic
1012	#95	C₂³×C₇	1	1	yes	characteristic
1013	#95	C₂³×C₇	1	1	yes	characteristic
1014	#95	C₂³×C₇	1	1	yes	characteristic
1015	#95	C₂³×C₇	1	1	yes	characteristic
1016	#95	C₂³×C₇	1	1	yes	characteristic
1017	#95	C₂³×C₇	1	1	yes	characteristic
1018	#95	C₂³×C₇	1	1	yes	characteristic
1019	#95	C₂³×C₇	1	1	yes	characteristic
1020	#95	C₂³×C₇	1	1	yes	characteristic
1021	#95	C₂³×C₇	1	1	yes	characteristic
1022	#95	C₂³×C₇	1	1	yes	characteristic
1023	#95	C₂³×C₇	1	1	yes	characteristic
1024	#95	C₂³×C₇	1	1	yes	characteristic
1025	#95	C₂³×C₇	1	1	yes	characteristic
1026	C₂²×C₇	—	2	2	no	—
1027	C₂²×C₇	—	2	2	no	—
1028	C₂²×C₇	—	2	2	no	—
1029	C₂²×C₇	—	2	2	no	—
1030	C₂²×C₇	—	2	2	no	—
1031	C₂²×C₇	—	2	2	no	—
1032	C₂²×C₇	—	4	1	no	—
1033	C₂²×C₇	—	4	1	no	—
1034	C₂²×C₇	—	4	1	no	—
1035	C₂²×C₇	—	4	1	no	—
1036	C₂²×C₇	—	4	1	no	—
1037	C₂²×C₇	—	4	1	no	—
1038	C₂²×C₇	—	4	1	no	—
1039	C₂²×C₇	—	4	1	no	—
1040	C₂²×C₇	—	4	1	no	—
1041	C₂²×C₇	—	4	1	no	—
1042	C₂²×C₇	—	4	1	no	—
1043	C₂²×C₇	—	4	1	no	—
1044	C₂²×C₇	—	4	1	no	—
1045	C₂²×C₇	—	4	1	no	—
1046	C₂²×C₇	—	4	1	no	—
1047	C₂²×C₇	—	4	1	no	—
1048	C₂²×C₇	—	4	1	no	—
1049	C₂²×C₇	—	4	1	no	—
1050	C₂²×C₇	—	4	1	no	—
1051	C₂²×C₇	—	4	1	no	—
1052	C₂²×C₇	—	4	1	no	—
1053	C₂²×C₇	—	4	1	no	—
1054	C₂²×C₇	—	4	1	no	—
1055	C₂²×C₇	—	4	1	no	—
1056	C₂²×C₇	—	4	1	no	—
1057	C₂²×C₇	—	4	1	no	—
1058	C₂²×C₇	—	4	1	no	—
1059	C₂²×C₇	—	4	1	no	—
1060	C₂²×C₇	—	4	1	no	—
1061	C₂²×C₇	—	8	8	no	—
1062	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1063	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1064	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1065	C₂²×C₇	#585	1	1	yes	characteristic
1066	C₂²×C₇	#585	1	1	yes	characteristic
1067	C₂²×C₇	#585	1	1	yes	characteristic
1068	C₂²×C₇	#585	1	1	yes	characteristic
1069	C₄×C₇	—	2	2	no	—
1070	C₄×C₇	—	2	2	no	—
1071	C₄×C₇	—	2	2	no	—
1072	C₄×C₇	—	4	1	no	—
1073	C₄×C₇	—	4	1	no	—
1074	C₄×C₇	—	4	1	no	—
1075	C₄×C₇	—	4	1	no	—
1076	C₄×C₇	—	4	1	no	—
1077	C₄×C₇	—	4	1	no	—
1078	C₄×C₇	—	4	1	no	—
1079	C₄×C₇	—	4	1	no	—
1080	C₄×C₇	—	4	1	no	—
1081	C₄×C₇	—	4	1	no	—
1082	C₄×C₇	—	4	1	no	—
1083	C₄×C₇	—	4	1	no	—
1084	C₄×C₇	—	4	1	no	—
1085	C₄×C₇	—	4	1	no	—
1086	C₄×C₇	—	4	1	no	—
1087	C₄×C₇	—	4	1	no	—
1088	C₄×C₇	—	4	1	no	—
1089	C₄×C₇	—	4	1	no	—
1090	C₄×C₇	—	4	1	no	—
1091	C₄×C₇	—	4	1	no	—
1092	C₄×C₇	—	4	1	no	—
1093	C₄×C₇	—	4	1	no	—
1094	C₄×C₇	—	4	1	no	—
1095	C₂⁴	—	2	2	no	—
1096	C₂⁴	—	4	1	no	—
1097	C₂⁴	—	4	1	no	—
1098	C₂⁴	—	4	1	no	—
1099	C₂⁴	—	4	1	no	—
1100	C₂⁴	—	4	1	no	—
1101	C₂⁴	—	4	1	no	—
1102	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1103	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1104	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1105	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1106	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1107	C₂×Q₈	—	2	2	no	—
1108	C₂×Q₈	—	4	1	no	—
1109	C₂×Q₈	—	4	1	no	—
1110	C₂×Q₈	—	4	1	no	—
1111	C₂×Q₈	—	4	1	no	—
1112	C₂×Q₈	—	4	1	no	—
1113	C₂×D₄	—	2	2	no	—
1114	C₂×D₄	—	2	2	no	—
1115	C₂×D₄	—	2	2	no	—
1116	C₂×D₄	—	2	2	no	—
1117	C₂×D₄	—	2	2	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	2	no	—
1120	C₂×D₄	—	4	1	no	—
1121	C₂×D₄	—	4	1	no	—
1122	C₂×D₄	—	4	1	no	—
1123	C₂×D₄	—	4	1	no	—
1124	C₂×D₄	—	4	1	no	—
1125	C₂×D₄	—	4	1	no	—
1126	C₂×D₄	—	4	1	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	4	1	no	—
1141	C₂²×C₄	—	4	1	no	—
1142	C₂²×C₄	—	4	1	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	C₇×#41	1	4	yes	—
1152	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1154	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1156	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1157	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1159	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1160	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1161	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1170	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1173	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1175	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1178	C₄⋊C₄	—	2	2	no	—
1179	C₄⋊C₄	—	2	2	no	—
1180	C₄⋊C₄	—	2	2	no	—
1181	C₄⋊C₄	—	2	2	no	—
1182	C₄⋊C₄	—	2	2	no	—
1183	C₄⋊C₄	—	4	1	no	—
1184	C₄⋊C₄	—	4	1	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	4	1	no	—
1191	C₄⋊C₄	—	4	1	no	—
1192	C₄⋊C₄	—	4	1	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	4	1	no	—
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	2	2	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	4	1	no	—
1233	C₂²⋊C₄	—	4	1	no	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	—	4	1	no	—
1238	C₂²⋊C₄	—	4	1	no	—
1239	C₂²⋊C₄	—	4	1	no	—
1240	C₂²⋊C₄	—	4	1	no	—
1241	C₂²⋊C₄	—	4	1	no	—
1242	C₂²⋊C₄	—	4	1	no	—
1243	C₂²⋊C₄	—	4	1	no	—
1244	C₂²⋊C₄	—	4	1	no	—
1245	C₂²⋊C₄	—	4	1	no	—
1246	C₂²⋊C₄	—	4	1	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	4	1	no	—
1249	C₂²⋊C₄	—	4	1	no	—
1250	C₂²⋊C₄	—	4	1	no	—
1251	C₂²⋊C₄	—	4	1	no	—
1252	C₂²⋊C₄	—	4	1	no	—
1253	C₂²⋊C₄	—	4	1	no	—
1254	C₂²⋊C₄	—	4	1	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	—	4	1	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₄²	—	2	2	no	—
1260	C₄²	—	2	2	no	—
1261	C₄²	—	2	2	no	—
1262	C₄²	—	4	1	no	—
1263	C₄²	—	4	1	no	—
1264	C₄²	—	4	1	no	—
1265	C₄²	—	4	1	no	—
1266	C₄²	—	4	1	no	—
1267	C₄²	—	4	1	no	—
1268	C₄²	—	4	1	no	—
1269	C₄²	—	4	1	no	—
1270	C₄²	—	4	1	no	—
1271	C₂×C₇	—	4	2	no	—
1272	C₂×C₇	—	4	2	no	—
1273	C₂×C₇	—	8	1	no	—
1274	C₂×C₇	—	8	1	no	—
1275	C₂×C₇	—	8	1	no	—
1276	C₂×C₇	#3455	1	1	yes	characteristic
1277	C₂×C₇	#3494	1	1	yes	characteristic
1278	C₂×C₇	#3505	1	1	yes	characteristic
1279	C₂×C₇	#3534	1	1	yes	characteristic
1280	C₂×C₇	#3540	1	1	yes	characteristic
1281	C₂×C₇	#3545	1	1	yes	characteristic
1282	C₂×C₇	#3566	1	1	yes	characteristic
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	4	4	no	—
1317	C₂³	—	8	2	no	—
1318	C₂³	—	8	2	no	—
1319	C₂³	—	8	2	no	—
1320	C₂³	—	8	2	no	—
1321	C₂³	—	8	2	no	—
1322	C₂³	—	8	2	no	—
1323	C₂³	C₂×C₇×#41	1	2	yes	—
1324	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
1325	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1326	Q₈	—	8	2	no	—
1327	Q₈	—	8	2	no	—
1328	D₄	—	4	4	no	—
1329	D₄	—	8	2	no	—
1330	D₄	—	8	2	no	—
1331	D₄	—	8	2	no	—
1332	D₄	—	8	2	no	—
1333	D₄	—	8	2	no	—
1334	D₄	—	8	2	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	4	4	no	—
1411	C₂×C₄	—	4	4	no	—
1412	C₂×C₄	—	4	4	no	—
1413	C₂×C₄	—	4	4	no	—
1414	C₂×C₄	—	8	2	no	—
1415	C₂×C₄	—	8	2	no	—
1416	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1417	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1418	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1419	C₇	#36784	1	1	yes	characteristic, direct product factor, Sylow
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	4	1	no	—
1452	C₂²	—	4	1	no	—
1453	C₂²	—	4	1	no	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	8	8	no	—
1456	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1457	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1458	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1459	C₂²	C₇×#585	1	1	yes	characteristic
1460	C₂²	C₇×#585	1	1	yes	characteristic
1461	C₂²	C₇×#585	1	1	yes	characteristic
1462	C₂²	C₇×#585	1	1	yes	characteristic
1463	C₄	—	2	2	no	—
1464	C₄	—	2	2	no	—
1465	C₄	—	2	2	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	—	4	1	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	1	no	—
1484	C₄	—	4	1	no	—
1485	C₄	—	4	1	no	—
1486	C₄	—	4	1	no	—
1487	C₄	—	4	1	no	—
1488	C₄	—	4	1	no	—
1489	C₂	—	4	2	no	—
1490	C₂	—	4	2	no	—
1491	C₂	—	8	1	no	—
1492	C₂	—	8	1	no	—
1493	C₂	—	8	1	no	—
1494	C₂	C₇×#3455	1	1	yes	characteristic
1495	C₂	C₇×#3494	1	1	yes	characteristic
1496	C₂	C₇×#3505	1	1	yes	characteristic
1497	C₂	C₇×#3534	1	1	yes	characteristic
1498	C₂	C₇×#3540	1	1	yes	characteristic
1499	C₂	C₇×#3545	1	1	yes	characteristic
1500	C₂	C₇×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
prime radical	C₇×#2678	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#2853	C₂	semidirect
2. C₇×#2850	C₂	semidirect
3. C₇×#2783	C₂	semidirect
4. C₇×#2779	C₂	semidirect
5. C₇×#2772	C₂	semidirect
6. C₇×#2757	C₂	semidirect
7. C₇×#2753	C₂	semidirect
8. C₇×#2744	C₂	semidirect
9. C₇×#2737	C₂	semidirect
10. C₇×#2735	C₂	semidirect
11. C₇×#2731	C₂	semidirect
12. C₇×#2701	C₂	semidirect
13. C₇×#2693	C₂	semidirect
14. C₇×#2687	C₂	semidirect
15. C₇×#2684	C₂	semidirect
16. C₇×#2684	C₂	semidirect
18. C₇×#2674	C₂	semidirect
19. C₇×#2651	C₂	semidirect
20. C₇×#2650	C₂	semidirect
21. C₇×#2602	C₂	semidirect
22. C₇×#2595	C₂	semidirect
23. C₇×#2557	C₂	semidirect
24. C₇×#2534	C₂	semidirect
25. C₇×#2532	C₂	semidirect
26. C₇×#2531	C₂	semidirect
27. C₇×#2439	C₂	semidirect
28. C₇×#2411	C₂	semidirect
29. C₇×#2335	C₂	semidirect
30. C₇×#2312	C₂	semidirect
31. C₇×#2290	C₂	semidirect
32. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
38. C₂×C₇×#123	C₂²	semidirect
39. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
46. C₂²×C₄²×C₇	C₂²	semidirect
47. C₇×#400	C₂²	semidirect
48. C₇×#400	C₂²	semidirect
49. C₇×#400	C₂²	semidirect
50. C₇×#400	C₂²	semidirect
51. C₇×#400	C₂²	semidirect
53. C₇×#398	C₂²	semidirect
54. C₇×#398	C₂²	semidirect
55. C₇×#398	C₂²	semidirect
56. C₇×#398	C₂²	semidirect
65. C₇×#397	C₂²	semidirect
66. C₇×#397	C₂²	semidirect
67. C₇×#397	C₂²	semidirect
68. C₇×#397	C₂²	semidirect
76. C₇×#396	C₂²	semidirect
77. C₇×#395	C₂²	semidirect
92. C₇×#393	C₂²	semidirect
95. C₇×#391	C₂²	semidirect
96. C₇×#391	C₂²	semidirect
97. C₇×#391	C₂²	semidirect
102. C₇×#390	C₂²	semidirect
103. C₇×#389	C₂²	semidirect
104. C₇×#389	C₂²	semidirect
105. C₇×#389	C₂²	semidirect
106. C₇×#389	C₂²	semidirect
130. C₇×#388	C₂²	semidirect
131. C₇×#388	C₂²	semidirect
132. C₇×#388	C₂²	semidirect
133. C₇×#388	C₂²	semidirect
134. C₇×#388	C₂²	semidirect
135. C₇×#388	C₂²	semidirect
136. C₇×#388	C₂²	semidirect
137. C₇×#387	C₂²	semidirect
138. C₇×#387	C₂²	semidirect
139. C₇×#387	C₂²	semidirect
140. C₇×#387	C₂²	semidirect
141. C₇×#387	C₂²	semidirect
142. C₇×#387	C₂²	semidirect
143. C₇×#387	C₂²	semidirect
144. C₇×#387	C₂²	semidirect
145. C₇×#387	C₂²	semidirect
146. C₇×#387	C₂²	semidirect
147. C₇×#387	C₂²	semidirect
148. C₇×#387	C₂²	semidirect
159. C₇×#386	C₂²	semidirect
160. C₇×#386	C₂²	semidirect
162. C₇×#385	C₂²	semidirect
163. C₇×#385	C₂²	semidirect
164. C₇×#385	C₂²	semidirect
165. C₇×#385	C₂²	semidirect
166. C₇×#385	C₂²	semidirect
167. C₇×#383	C₂²	semidirect
168. C₇×#382	C₂²	semidirect
169. C₇×#382	C₂²	semidirect
171. C₇×#381	C₂²	semidirect
175. C₇×#380	C₂²	semidirect
180. C₄×C₇×C₄⋊C₄	C₂²	semidirect
181. C₄×C₇×C₄⋊C₄	C₂²	semidirect
184. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
185. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
186. C₇×#376	C₂²	semidirect
187. #36784	C₇	direct (N × H)
358. #2853	C₂×C₇	semidirect
359. #2850	C₂×C₇	semidirect
360. #2783	C₂×C₇	semidirect
361. #2779	C₂×C₇	semidirect
362. #2772	C₂×C₇	semidirect
363. #2757	C₂×C₇	semidirect
364. #2753	C₂×C₇	semidirect
365. #2744	C₂×C₇	semidirect
366. #2737	C₂×C₇	semidirect
367. #2735	C₂×C₇	semidirect
368. #2731	C₂×C₇	semidirect
369. #2701	C₂×C₇	semidirect
370. #2693	C₂×C₇	semidirect
371. #2687	C₂×C₇	semidirect
372. #2684	C₂×C₇	semidirect
373. #2684	C₂×C₇	semidirect
375. #2674	C₂×C₇	semidirect
376. #2651	C₂×C₇	semidirect
377. #2650	C₂×C₇	semidirect
378. #2602	C₂×C₇	semidirect
379. #2595	C₂×C₇	semidirect
380. #2557	C₂×C₇	semidirect
381. #2534	C₂×C₇	semidirect
382. #2532	C₂×C₇	semidirect
383. #2531	C₂×C₇	semidirect
384. #2439	C₂×C₇	semidirect
385. #2411	C₂×C₇	semidirect
386. #2335	C₂×C₇	semidirect
387. #2312	C₂×C₇	semidirect
388. #2290	C₂×C₇	semidirect
565. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
571. C₂×#123	C₂²×C₇	semidirect
572. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
579. C₂²×C₄²	C₂²×C₇	semidirect
580. #400	C₂²×C₇	semidirect
581. #400	C₂²×C₇	semidirect
582. #400	C₂²×C₇	semidirect
583. #400	C₂²×C₇	semidirect
584. #400	C₂²×C₇	semidirect
586. #398	C₂²×C₇	semidirect
587. #398	C₂²×C₇	semidirect
588. #398	C₂²×C₇	semidirect
589. #398	C₂²×C₇	semidirect
598. #397	C₂²×C₇	semidirect
599. #397	C₂²×C₇	semidirect
600. #397	C₂²×C₇	semidirect
601. #397	C₂²×C₇	semidirect
609. #396	C₂²×C₇	semidirect
610. #395	C₂²×C₇	semidirect
625. #393	C₂²×C₇	semidirect
628. #391	C₂²×C₇	semidirect
629. #391	C₂²×C₇	semidirect
630. #391	C₂²×C₇	semidirect
635. #390	C₂²×C₇	semidirect
636. #389	C₂²×C₇	semidirect
637. #389	C₂²×C₇	semidirect
638. #389	C₂²×C₇	semidirect
639. #389	C₂²×C₇	semidirect
663. #388	C₂²×C₇	semidirect
664. #388	C₂²×C₇	semidirect
665. #388	C₂²×C₇	semidirect
666. #388	C₂²×C₇	semidirect
667. #388	C₂²×C₇	semidirect
668. #388	C₂²×C₇	semidirect
669. #388	C₂²×C₇	semidirect
670. #387	C₂²×C₇	semidirect
671. #387	C₂²×C₇	semidirect
672. #387	C₂²×C₇	semidirect
673. #387	C₂²×C₇	semidirect
674. #387	C₂²×C₇	semidirect
675. #387	C₂²×C₇	semidirect
676. #387	C₂²×C₇	semidirect
677. #387	C₂²×C₇	semidirect
678. #387	C₂²×C₇	semidirect
679. #387	C₂²×C₇	semidirect
680. #387	C₂²×C₇	semidirect
681. #387	C₂²×C₇	semidirect
692. #386	C₂²×C₇	semidirect
693. #386	C₂²×C₇	semidirect
695. #385	C₂²×C₇	semidirect
696. #385	C₂²×C₇	semidirect
697. #385	C₂²×C₇	semidirect
698. #385	C₂²×C₇	semidirect
699. #385	C₂²×C₇	semidirect
700. #383	C₂²×C₇	semidirect
701. #382	C₂²×C₇	semidirect
702. #382	C₂²×C₇	semidirect
704. #381	C₂²×C₇	semidirect
708. #380	C₂²×C₇	semidirect
713. C₄×C₄⋊C₄	C₂²×C₇	semidirect
714. C₄×C₄⋊C₄	C₂²×C₇	semidirect
717. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
718. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
719. #376	C₂²×C₇	semidirect
1419. C₇	#36784	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#2853	2
C₇×#2850	2
C₇×#2783	2
C₇×#2779	2
C₇×#2772	2
C₇×#2757	2
C₇×#2753	2
C₇×#2744	2
C₇×#2737	2
C₇×#2735	2
C₇×#2731	2
C₇×#2701	2
C₇×#2693	2
C₇×#2687	2
C₇×#2684	2
C₇×#2678	2
C₇×#2674	2
C₇×#2651	2
C₇×#2650	2
C₇×#2602	2
C₇×#2595	2
C₇×#2557	2
C₇×#2534	2
C₇×#2532	2
C₇×#2531	2
C₇×#2439	2
C₇×#2411	2
C₇×#2335	2
C₇×#2312	2
C₇×#2290	2
#36784	7

Subgroups — C7×#36784 #13214000

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#36784 #13214000