Subgroups — C₇×#34840 #13212056

Order 1792.

1944 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2590	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#2589	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2588	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2587	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2586	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2585	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2583	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2579	C₂	1	1	yes	maximal, characteristic
9	C₇×#2574	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2564	C₂	1	1	yes	maximal, characteristic
11	C₇×#2556	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2549	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2505	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2473	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2450	C₂	1	1	yes	maximal, characteristic
16	C₇×#2449	C₂	1	1	yes	maximal, characteristic
17	C₇×#2402	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#2399	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2396	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2396	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₇×#125	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#2296	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2295	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2290	C₂	1	1	yes	maximal, characteristic
29	C₇×#2290	C₂	1	1	yes	maximal, characteristic
30	C₄²×C₇×D₄	C₂	1	1	yes	maximal, characteristic
31	C₂×C₄×C₇×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#125	C₂²	1	1	yes	characteristic
33	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
43	C₂×C₇×#117	C₂²	1	1	yes	characteristic
44	C₂×C₇×#117	C₂²	1	1	yes	characteristic
45	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
47	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
48	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
49	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
50	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
51	C₇×#400	C₂²	1	1	yes	characteristic
52	C₇×#400	C₂²	1	1	yes	characteristic
53	C₇×#400	C₂²	1	1	yes	characteristic
54	C₇×#400	C₂²	1	1	yes	characteristic
55	C₇×#400	C₂²	1	1	yes	characteristic
56	C₇×#400	C₂²	1	1	yes	characteristic
57	C₇×#399	C₂²	1	1	yes	characteristic
58	C₇×#399	C₂²	1	1	yes	characteristic
59	C₇×#398	C₂²	1	1	yes	characteristic
60	C₇×#398	C₂²	1	1	yes	characteristic
61	C₇×#398	C₂²	1	1	yes	characteristic
62	C₇×#398	C₂²	1	1	yes	characteristic
63	C₇×#398	C₂²	1	1	yes	characteristic
64	C₇×#398	C₂²	1	1	yes	characteristic
65	C₇×#398	C₂²	1	1	yes	characteristic
66	C₇×#398	C₂²	1	1	yes	characteristic
67	C₇×#398	C₂²	1	1	yes	characteristic
68	C₇×#398	C₂²	1	1	yes	characteristic
69	C₇×#398	C₂²	1	1	yes	characteristic
70	C₇×#398	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×#395	C₂²	1	1	yes	characteristic
76	C₇×#395	C₂²	1	1	yes	characteristic
77	C₇×#395	C₂²	1	1	yes	characteristic
78	C₇×#395	C₂²	1	1	yes	characteristic
79	C₇×#395	C₂²	1	1	yes	characteristic
80	C₇×#395	C₂²	1	1	yes	characteristic
81	C₇×#393	C₂²	1	1	yes	characteristic
82	C₇×#393	C₂²	1	1	yes	characteristic
83	C₇×#391	C₂²	1	1	yes	characteristic
84	C₇×#391	C₂²	1	1	yes	characteristic
85	C₇×#391	C₂²	1	1	yes	characteristic
86	C₇×#391	C₂²	1	1	yes	characteristic
87	C₇×#391	C₂²	1	1	yes	characteristic
88	C₇×#391	C₂²	1	1	yes	characteristic
89	C₇×#389	C₂²	1	1	yes	characteristic
90	C₇×#389	C₂²	1	1	yes	characteristic
91	C₇×#389	C₂²	1	1	yes	characteristic
92	C₇×#389	C₂²	1	1	yes	characteristic
93	C₇×#389	C₂²	1	1	yes	characteristic
94	C₇×#389	C₂²	1	1	yes	characteristic
95	C₇×#389	C₂²	1	1	yes	characteristic
96	C₇×#389	C₂²	1	1	yes	characteristic
97	C₇×#389	C₂²	1	1	yes	characteristic
98	C₇×#389	C₂²	1	1	yes	characteristic
99	C₇×#389	C₂²	1	1	yes	characteristic
100	C₇×#389	C₂²	1	1	yes	characteristic
101	C₇×#388	C₂²	1	1	yes	characteristic
102	C₇×#388	C₂²	1	1	yes	characteristic
103	C₇×#388	C₂²	1	1	yes	characteristic
104	C₇×#388	C₂²	1	1	yes	characteristic
105	C₇×#387	C₂²	1	1	yes	characteristic
106	C₇×#387	C₂²	1	1	yes	characteristic
107	C₇×#387	C₂²	1	1	yes	characteristic
108	C₇×#387	C₂²	1	1	yes	characteristic
109	C₇×#387	C₂²	1	1	yes	characteristic
110	C₇×#387	C₂²	1	1	yes	characteristic
111	C₇×#387	C₂²	1	1	yes	characteristic
112	C₇×#387	C₂²	1	1	yes	characteristic
113	C₇×#387	C₂²	1	1	yes	characteristic
114	C₇×#387	C₂²	1	1	yes	characteristic
115	C₇×#387	C₂²	1	1	yes	characteristic
116	C₇×#387	C₂²	1	1	yes	characteristic
117	C₇×#387	C₂²	1	1	yes	characteristic
118	C₇×#387	C₂²	1	1	yes	characteristic
119	C₇×#387	C₂²	1	1	yes	characteristic
120	C₇×#387	C₂²	1	1	yes	characteristic
121	C₇×#387	C₂²	1	1	yes	characteristic
122	C₇×#387	C₂²	1	1	yes	characteristic
123	C₇×#387	C₂²	1	1	yes	characteristic
124	C₇×#387	C₂²	1	1	yes	characteristic
125	C₇×#386	C₂²	1	1	yes	characteristic
126	C₇×#386	C₂²	1	1	yes	characteristic
127	C₇×#386	C₂²	1	1	yes	characteristic
128	C₇×#386	C₂²	1	1	yes	characteristic
129	C₇×#385	C₂²	1	1	yes	characteristic
130	C₇×#385	C₂²	1	1	yes	characteristic
131	C₇×#385	C₂²	1	1	yes	characteristic
132	C₇×#385	C₂²	1	1	yes	characteristic
133	C₇×#385	C₂²	1	1	yes	characteristic
134	C₇×#385	C₂²	1	1	yes	characteristic
135	C₇×#385	C₂²	1	1	yes	characteristic
136	C₇×#385	C₂²	1	1	yes	characteristic
137	C₇×#385	C₂²	1	1	yes	characteristic
138	C₇×#385	C₂²	1	1	yes	characteristic
139	C₇×#385	C₂²	1	1	yes	characteristic
140	C₇×#385	C₂²	1	1	yes	characteristic
141	C₇×#385	C₂²	1	1	yes	characteristic
142	C₇×#385	C₂²	1	1	yes	characteristic
143	C₇×#385	C₂²	1	1	yes	characteristic
144	C₇×#385	C₂²	1	1	yes	characteristic
145	C₇×#382	C₂²	1	1	yes	characteristic
146	C₇×#380	C₂²	1	1	yes	characteristic
147	C₇×#380	C₂²	1	1	yes	characteristic
148	C₇×#380	C₂²	1	1	yes	characteristic
149	C₇×#380	C₂²	1	1	yes	characteristic
150	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
182	C₇×#376	C₂²	1	1	yes	characteristic
183	C₇×#376	C₂²	1	1	yes	characteristic
184	C₂×C₇×#95	C₂²	1	1	yes	characteristic
185	C₂×C₇×#95	C₂²	1	1	yes	characteristic
186	C₄³×C₇	C₂²	1	1	yes	characteristic
187	#34840	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂²×C₇×Q₈	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	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₇	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	C₇×#125	—	2	4	no	—
203	C₇×C₂²⋊Q₈	—	2	4	no	—
204	C₇×C₂²⋊Q₈	—	2	4	no	—
205	C₇×C₂²⋊Q₈	—	2	4	no	—
206	C₇×C₂²⋊Q₈	—	2	4	no	—
207	C₄×C₇×Q₈	—	2	4	no	—
208	C₄×C₇×Q₈	—	4	2	no	—
209	C₄×C₇×Q₈	—	4	2	no	—
210	C₄×C₇×D₄	—	2	4	no	—
211	C₄×C₇×D₄	—	2	4	no	—
212	C₄×C₇×D₄	Q₈	1	8	yes	complemented
213	C₇×#117	—	2	4	no	—
214	C₇×#117	—	4	2	no	—
215	C₂×C₇×C₄⋊C₄	—	2	4	no	—
216	C₂×C₇×C₄⋊C₄	—	2	4	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₄⋊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×C₄²×C₇	—	2	4	no	—
282	C₂×C₄²×C₇	—	4	2	no	—
283	C₂×C₄²×C₇	—	4	2	no	—
284	C₂×C₄²×C₇	—	4	2	no	—
285	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
286	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
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	C₇×#95	C₂³	1	1	yes	characteristic
311	C₇×#95	C₂³	1	1	yes	characteristic
312	C₇×#95	C₂³	1	1	yes	characteristic
313	C₇×#95	C₂³	1	1	yes	characteristic
314	C₇×#95	C₂³	1	1	yes	characteristic
315	C₇×#95	C₂³	1	1	yes	characteristic
316	C₇×#95	C₂³	1	1	yes	characteristic
317	C₇×#95	C₂³	1	1	yes	characteristic
318	C₇×#95	C₂³	1	1	yes	characteristic
319	C₇×#95	C₂³	1	1	yes	characteristic
320	C₇×#95	C₂³	1	1	yes	characteristic
321	C₇×#95	C₂³	1	1	yes	characteristic
322	C₇×#95	C₂³	1	1	yes	characteristic
323	C₇×#95	C₂³	1	1	yes	characteristic
324	C₇×#95	C₂³	1	1	yes	characteristic
325	C₇×#95	C₂³	1	1	yes	characteristic
326	C₇×#95	C₂³	1	1	yes	characteristic
327	C₇×#95	C₂³	1	1	yes	characteristic
328	C₇×#95	C₂³	1	1	yes	characteristic
329	C₇×#95	C₂³	1	1	yes	characteristic
330	C₇×#95	C₂³	1	1	yes	characteristic
331	C₇×#95	C₂³	1	1	yes	characteristic
332	C₇×#95	C₂³	1	1	yes	characteristic
333	C₇×#95	C₂³	1	1	yes	characteristic
334	C₇×#95	C₂³	1	1	yes	characteristic
335	C₇×#95	C₂³	1	1	yes	characteristic
336	C₇×#95	C₂³	1	1	yes	characteristic
337	C₇×#95	C₂³	1	1	yes	characteristic
338	C₇×#95	C₂³	1	1	yes	characteristic
339	C₇×#95	C₂³	1	1	yes	characteristic
340	C₇×#95	C₂³	1	1	yes	characteristic
341	C₇×#95	C₂³	1	1	yes	characteristic
342	C₇×#95	C₂³	1	1	yes	characteristic
343	C₇×#95	C₂³	1	1	yes	characteristic
344	C₇×#95	C₂³	1	1	yes	characteristic
345	C₇×#95	C₂³	1	1	yes	characteristic
346	C₇×#95	C₂³	1	1	yes	characteristic
347	C₇×#95	C₂³	1	1	yes	characteristic
348	C₇×#95	C₂³	1	1	yes	characteristic
349	C₇×#95	C₂³	1	1	yes	characteristic
350	C₇×#95	C₂³	1	1	yes	characteristic
351	C₇×#95	C₂³	1	1	yes	characteristic
352	C₇×#95	C₂³	1	1	yes	characteristic
353	C₇×#95	C₂³	1	1	yes	characteristic
354	C₇×#95	C₂³	1	1	yes	characteristic
355	C₇×#95	C₂³	1	1	yes	characteristic
356	C₇×#95	C₂³	1	1	yes	characteristic
357	C₇×#95	C₂³	1	1	yes	characteristic
358	C₇×#95	C₂³	1	1	yes	characteristic
359	C₇×#95	C₂³	1	1	yes	characteristic
360	C₇×#95	C₂³	1	1	yes	characteristic
361	C₇×#95	C₂³	1	1	yes	characteristic
362	#2590	C₂×C₇	1	1	yes	characteristic, complemented
363	#2589	C₂×C₇	1	1	yes	characteristic, complemented
364	#2588	C₂×C₇	1	1	yes	characteristic, complemented
365	#2587	C₂×C₇	1	1	yes	characteristic, complemented
366	#2586	C₂×C₇	1	1	yes	characteristic, complemented
367	#2585	C₂×C₇	1	1	yes	characteristic, complemented
368	#2583	C₂×C₇	1	1	yes	characteristic, complemented
369	#2579	C₂×C₇	1	1	yes	characteristic
370	#2574	C₂×C₇	1	1	yes	characteristic, complemented
371	#2564	C₂×C₇	1	1	yes	characteristic
372	#2556	C₂×C₇	1	1	yes	characteristic, complemented
373	#2549	C₂×C₇	1	1	yes	characteristic, complemented
374	#2505	C₂×C₇	1	1	yes	characteristic, complemented
375	#2473	C₂×C₇	1	1	yes	characteristic, complemented
376	#2450	C₂×C₇	1	1	yes	characteristic
377	#2449	C₂×C₇	1	1	yes	characteristic
378	#2402	C₂×C₇	1	1	yes	characteristic, complemented
379	#2399	C₂×C₇	1	1	yes	characteristic, complemented
380	#2396	C₂×C₇	1	1	yes	characteristic, complemented
381	#2396	C₂×C₇	1	1	yes	characteristic, complemented
382	C₄×#125	C₂×C₇	1	1	yes	characteristic, complemented
383	C₄×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
384	C₄×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
385	C₄×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
386	C₄×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
387	#2296	C₂×C₇	1	1	yes	characteristic, complemented
388	#2295	C₂×C₇	1	1	yes	characteristic, complemented
389	#2290	C₂×C₇	1	1	yes	characteristic
390	#2290	C₂×C₇	1	1	yes	characteristic
391	C₄²×D₄	C₂×C₇	1	1	yes	characteristic
392	C₂×C₄×C₄⋊C₄	C₂×C₇	1	1	yes	characteristic, complemented
393	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
394	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
395	C₂×C₇×Q₈	—	2	2	no	—
396	C₂×C₇×Q₈	—	2	2	no	—
397	C₂×C₇×Q₈	—	2	2	no	—
398	C₂×C₇×Q₈	—	2	2	no	—
399	C₂×C₇×Q₈	—	2	2	no	—
400	C₂×C₇×Q₈	—	4	1	no	—
401	C₂×C₇×Q₈	—	4	1	no	—
402	C₂×C₇×Q₈	—	4	1	no	—
403	C₂×C₇×Q₈	—	4	1	no	—
404	C₂×C₇×D₄	—	2	2	no	—
405	C₂×C₇×D₄	—	2	2	no	—
406	C₂×C₇×D₄	C₂×Q₈	1	4	yes	—
407	C₂²×C₄×C₇	—	2	2	no	—
408	C₂²×C₄×C₇	—	2	2	no	—
409	C₂²×C₄×C₇	—	2	2	no	—
410	C₂²×C₄×C₇	—	2	2	no	—
411	C₂²×C₄×C₇	—	2	2	no	—
412	C₂²×C₄×C₇	—	2	2	no	—
413	C₂²×C₄×C₇	—	2	2	no	—
414	C₂²×C₄×C₇	—	2	2	no	—
415	C₂²×C₄×C₇	—	2	2	no	—
416	C₂²×C₄×C₇	—	2	2	no	—
417	C₂²×C₄×C₇	—	2	2	no	—
418	C₂²×C₄×C₇	—	2	2	no	—
419	C₂²×C₄×C₇	—	2	2	no	—
420	C₂²×C₄×C₇	—	2	2	no	—
421	C₂²×C₄×C₇	—	2	2	no	—
422	C₂²×C₄×C₇	—	2	2	no	—
423	C₂²×C₄×C₇	—	2	2	no	—
424	C₂²×C₄×C₇	—	4	1	no	—
425	C₂²×C₄×C₇	—	4	1	no	—
426	C₂²×C₄×C₇	—	4	1	no	—
427	C₂²×C₄×C₇	—	4	1	no	—
428	C₂²×C₄×C₇	—	4	1	no	—
429	C₂²×C₄×C₇	—	4	1	no	—
430	C₂²×C₄×C₇	—	4	1	no	—
431	C₂²×C₄×C₇	—	4	1	no	—
432	C₂²×C₄×C₇	—	4	1	no	—
433	C₂²×C₄×C₇	—	4	1	no	—
434	C₂²×C₄×C₇	C₂×Q₈	1	4	yes	—
435	C₂²×C₄×C₇	C₂×Q₈	1	4	yes	—
436	C₂²×C₄×C₇	#41	1	4	yes	—
437	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	—	2	2	no	—
467	C₇×C₄⋊C₄	—	2	2	no	—
468	C₇×C₄⋊C₄	—	2	2	no	—
469	C₇×C₄⋊C₄	—	2	2	no	—
470	C₇×C₄⋊C₄	—	2	2	no	—
471	C₇×C₄⋊C₄	—	2	2	no	—
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	—	2	2	no	—
478	C₇×C₄⋊C₄	—	2	2	no	—
479	C₇×C₄⋊C₄	—	2	2	no	—
480	C₇×C₄⋊C₄	—	2	2	no	—
481	C₇×C₄⋊C₄	—	2	2	no	—
482	C₇×C₄⋊C₄	—	2	2	no	—
483	C₇×C₄⋊C₄	—	2	2	no	—
484	C₇×C₄⋊C₄	—	2	2	no	—
485	C₇×C₄⋊C₄	—	2	2	no	—
486	C₇×C₄⋊C₄	—	2	2	no	—
487	C₇×C₄⋊C₄	—	2	2	no	—
488	C₇×C₄⋊C₄	—	2	2	no	—
489	C₇×C₄⋊C₄	—	2	2	no	—
490	C₇×C₄⋊C₄	—	2	2	no	—
491	C₇×C₄⋊C₄	—	2	2	no	—
492	C₇×C₄⋊C₄	—	2	2	no	—
493	C₇×C₄⋊C₄	—	2	2	no	—
494	C₇×C₄⋊C₄	—	2	2	no	—
495	C₇×C₄⋊C₄	—	2	2	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×C₄⋊C₄	—	4	1	no	—
502	C₇×C₄⋊C₄	—	4	1	no	—
503	C₇×C₄⋊C₄	—	4	1	no	—
504	C₇×C₄⋊C₄	—	4	1	no	—
505	C₇×C₄⋊C₄	—	4	1	no	—
506	C₇×C₄⋊C₄	—	4	1	no	—
507	C₇×C₄⋊C₄	—	4	1	no	—
508	C₇×C₄⋊C₄	—	4	1	no	—
509	C₇×C₄⋊C₄	—	4	1	no	—
510	C₇×C₄⋊C₄	C₂×Q₈	1	4	yes	—
511	C₇×C₄⋊C₄	#41	1	4	yes	—
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	—	2	2	no	—
517	C₇×C₂²⋊C₄	—	2	2	no	—
518	C₇×C₂²⋊C₄	—	2	2	no	—
519	C₇×C₂²⋊C₄	—	2	2	no	—
520	C₇×C₂²⋊C₄	—	2	2	no	—
521	C₇×C₂²⋊C₄	—	2	2	no	—
522	C₇×C₂²⋊C₄	—	2	2	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	C₂×Q₈	1	4	yes	—
528	C₇×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
529	C₇×C₂²⋊C₄	#41	1	4	yes	—
530	C₄²×C₇	—	2	2	no	—
531	C₄²×C₇	—	2	2	no	—
532	C₄²×C₇	—	2	2	no	—
533	C₄²×C₇	—	2	2	no	—
534	C₄²×C₇	—	2	2	no	—
535	C₄²×C₇	—	2	2	no	—
536	C₄²×C₇	—	2	2	no	—
537	C₄²×C₇	—	2	2	no	—
538	C₄²×C₇	—	2	2	no	—
539	C₄²×C₇	—	2	2	no	—
540	C₄²×C₇	—	2	2	no	—
541	C₄²×C₇	—	2	2	no	—
542	C₄²×C₇	—	2	2	no	—
543	C₄²×C₇	—	2	2	no	—
544	C₄²×C₇	—	2	2	no	—
545	C₄²×C₇	—	2	2	no	—
546	C₄²×C₇	—	4	1	no	—
547	C₄²×C₇	—	4	1	no	—
548	C₄²×C₇	—	4	1	no	—
549	C₄²×C₇	—	4	1	no	—
550	C₄²×C₇	—	4	1	no	—
551	C₄²×C₇	—	4	1	no	—
552	C₄²×C₇	—	4	1	no	—
553	C₄²×C₇	C₂×Q₈	1	4	yes	—
554	C₄²×C₇	#41	1	4	yes	—
555	C₂×#125	C₂²×C₇	1	1	yes	characteristic
556	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
557	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
558	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
559	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
560	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
561	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
562	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
563	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
564	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
565	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
566	C₂×#117	C₂²×C₇	1	1	yes	characteristic
567	C₂×#117	C₂²×C₇	1	1	yes	characteristic
568	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
569	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
570	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
571	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
572	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
573	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
574	#400	C₂²×C₇	1	1	yes	characteristic
575	#400	C₂²×C₇	1	1	yes	characteristic
576	#400	C₂²×C₇	1	1	yes	characteristic
577	#400	C₂²×C₇	1	1	yes	characteristic
578	#400	C₂²×C₇	1	1	yes	characteristic
579	#400	C₂²×C₇	1	1	yes	characteristic
580	#399	C₂²×C₇	1	1	yes	characteristic
581	#399	C₂²×C₇	1	1	yes	characteristic
582	#398	C₂²×C₇	1	1	yes	characteristic
583	#398	C₂²×C₇	1	1	yes	characteristic
584	#398	C₂²×C₇	1	1	yes	characteristic
585	#398	C₂²×C₇	1	1	yes	characteristic
586	#398	C₂²×C₇	1	1	yes	characteristic
587	#398	C₂²×C₇	1	1	yes	characteristic
588	#398	C₂²×C₇	1	1	yes	characteristic
589	#398	C₂²×C₇	1	1	yes	characteristic
590	#398	C₂²×C₇	1	1	yes	characteristic
591	#398	C₂²×C₇	1	1	yes	characteristic
592	#398	C₂²×C₇	1	1	yes	characteristic
593	#398	C₂²×C₇	1	1	yes	characteristic
594	#396	C₂²×C₇	1	1	yes	characteristic
595	#396	C₂²×C₇	1	1	yes	characteristic
596	#396	C₂²×C₇	1	1	yes	characteristic
597	#396	C₂²×C₇	1	1	yes	characteristic
598	#395	C₂²×C₇	1	1	yes	characteristic
599	#395	C₂²×C₇	1	1	yes	characteristic
600	#395	C₂²×C₇	1	1	yes	characteristic
601	#395	C₂²×C₇	1	1	yes	characteristic
602	#395	C₂²×C₇	1	1	yes	characteristic
603	#395	C₂²×C₇	1	1	yes	characteristic
604	#393	C₂²×C₇	1	1	yes	characteristic
605	#393	C₂²×C₇	1	1	yes	characteristic
606	#391	C₂²×C₇	1	1	yes	characteristic
607	#391	C₂²×C₇	1	1	yes	characteristic
608	#391	C₂²×C₇	1	1	yes	characteristic
609	#391	C₂²×C₇	1	1	yes	characteristic
610	#391	C₂²×C₇	1	1	yes	characteristic
611	#391	C₂²×C₇	1	1	yes	characteristic
612	#389	C₂²×C₇	1	1	yes	characteristic
613	#389	C₂²×C₇	1	1	yes	characteristic
614	#389	C₂²×C₇	1	1	yes	characteristic
615	#389	C₂²×C₇	1	1	yes	characteristic
616	#389	C₂²×C₇	1	1	yes	characteristic
617	#389	C₂²×C₇	1	1	yes	characteristic
618	#389	C₂²×C₇	1	1	yes	characteristic
619	#389	C₂²×C₇	1	1	yes	characteristic
620	#389	C₂²×C₇	1	1	yes	characteristic
621	#389	C₂²×C₇	1	1	yes	characteristic
622	#389	C₂²×C₇	1	1	yes	characteristic
623	#389	C₂²×C₇	1	1	yes	characteristic
624	#388	C₂²×C₇	1	1	yes	characteristic
625	#388	C₂²×C₇	1	1	yes	characteristic
626	#388	C₂²×C₇	1	1	yes	characteristic
627	#388	C₂²×C₇	1	1	yes	characteristic
628	#387	C₂²×C₇	1	1	yes	characteristic
629	#387	C₂²×C₇	1	1	yes	characteristic
630	#387	C₂²×C₇	1	1	yes	characteristic
631	#387	C₂²×C₇	1	1	yes	characteristic
632	#387	C₂²×C₇	1	1	yes	characteristic
633	#387	C₂²×C₇	1	1	yes	characteristic
634	#387	C₂²×C₇	1	1	yes	characteristic
635	#387	C₂²×C₇	1	1	yes	characteristic
636	#387	C₂²×C₇	1	1	yes	characteristic
637	#387	C₂²×C₇	1	1	yes	characteristic
638	#387	C₂²×C₇	1	1	yes	characteristic
639	#387	C₂²×C₇	1	1	yes	characteristic
640	#387	C₂²×C₇	1	1	yes	characteristic
641	#387	C₂²×C₇	1	1	yes	characteristic
642	#387	C₂²×C₇	1	1	yes	characteristic
643	#387	C₂²×C₇	1	1	yes	characteristic
644	#387	C₂²×C₇	1	1	yes	characteristic
645	#387	C₂²×C₇	1	1	yes	characteristic
646	#387	C₂²×C₇	1	1	yes	characteristic
647	#387	C₂²×C₇	1	1	yes	characteristic
648	#386	C₂²×C₇	1	1	yes	characteristic
649	#386	C₂²×C₇	1	1	yes	characteristic
650	#386	C₂²×C₇	1	1	yes	characteristic
651	#386	C₂²×C₇	1	1	yes	characteristic
652	#385	C₂²×C₇	1	1	yes	characteristic
653	#385	C₂²×C₇	1	1	yes	characteristic
654	#385	C₂²×C₇	1	1	yes	characteristic
655	#385	C₂²×C₇	1	1	yes	characteristic
656	#385	C₂²×C₇	1	1	yes	characteristic
657	#385	C₂²×C₇	1	1	yes	characteristic
658	#385	C₂²×C₇	1	1	yes	characteristic
659	#385	C₂²×C₇	1	1	yes	characteristic
660	#385	C₂²×C₇	1	1	yes	characteristic
661	#385	C₂²×C₇	1	1	yes	characteristic
662	#385	C₂²×C₇	1	1	yes	characteristic
663	#385	C₂²×C₇	1	1	yes	characteristic
664	#385	C₂²×C₇	1	1	yes	characteristic
665	#385	C₂²×C₇	1	1	yes	characteristic
666	#385	C₂²×C₇	1	1	yes	characteristic
667	#385	C₂²×C₇	1	1	yes	characteristic
668	#382	C₂²×C₇	1	1	yes	characteristic
669	#380	C₂²×C₇	1	1	yes	characteristic
670	#380	C₂²×C₇	1	1	yes	characteristic
671	#380	C₂²×C₇	1	1	yes	characteristic
672	#380	C₂²×C₇	1	1	yes	characteristic
673	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
674	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
675	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
676	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
677	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
678	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
679	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
680	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
681	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
682	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
683	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
684	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
685	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
686	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
687	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
688	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
689	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
690	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
691	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
692	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
693	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
694	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
695	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
696	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
697	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
698	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
699	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
700	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
701	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
702	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
703	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
704	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
705	#376	C₂²×C₇	1	1	yes	characteristic
706	#376	C₂²×C₇	1	1	yes	characteristic
707	C₂×#95	C₂²×C₇	1	1	yes	characteristic
708	C₂×#95	C₂²×C₇	1	1	yes	characteristic
709	C₄³	C₂²×C₇	1	1	yes	characteristic
710	C₂³×C₇	—	2	1	no	—
711	C₂³×C₇	—	2	1	no	—
712	C₂³×C₇	—	2	1	no	—
713	C₂³×C₇	—	2	1	no	—
714	C₂³×C₇	—	2	1	no	—
715	C₂³×C₇	—	2	1	no	—
716	C₂³×C₇	—	2	1	no	—
717	C₂³×C₇	—	2	1	no	—
718	C₂³×C₇	—	2	1	no	—
719	C₂³×C₇	—	2	1	no	—
720	C₂³×C₇	C₂²×Q₈	1	2	yes	—
721	C₂³×C₇	C₂²×Q₈	1	2	yes	—
722	C₂³×C₇	C₂×#41	1	2	yes	—
723	C₂³×C₇	C₂×#41	1	2	yes	—
724	C₂³×C₇	C₂⁵	1	1	yes	characteristic
725	C₇×Q₈	—	4	4	no	—
726	C₇×Q₈	—	4	4	no	—
727	C₇×Q₈	—	4	4	no	—
728	C₇×D₄	—	2	8	no	—
729	C₂×C₄×C₇	—	2	8	no	—
730	C₂×C₄×C₇	—	2	1	no	—
731	C₂×C₄×C₇	—	2	1	no	—
732	C₂×C₄×C₇	—	2	1	no	—
733	C₂×C₄×C₇	—	2	1	no	—
734	C₂×C₄×C₇	—	2	1	no	—
735	C₂×C₄×C₇	—	2	1	no	—
736	C₂×C₄×C₇	—	2	1	no	—
737	C₂×C₄×C₇	—	2	1	no	—
738	C₂×C₄×C₇	—	2	1	no	—
739	C₂×C₄×C₇	—	2	1	no	—
740	C₂×C₄×C₇	—	2	1	no	—
741	C₂×C₄×C₇	—	2	1	no	—
742	C₂×C₄×C₇	—	2	1	no	—
743	C₂×C₄×C₇	—	2	1	no	—
744	C₂×C₄×C₇	—	2	1	no	—
745	C₂×C₄×C₇	—	2	1	no	—
746	C₂×C₄×C₇	—	2	1	no	—
747	C₂×C₄×C₇	—	2	1	no	—
748	C₂×C₄×C₇	—	2	1	no	—
749	C₂×C₄×C₇	—	2	1	no	—
750	C₂×C₄×C₇	—	2	1	no	—
751	C₂×C₄×C₇	—	2	1	no	—
752	C₂×C₄×C₇	—	2	1	no	—
753	C₂×C₄×C₇	—	2	1	no	—
754	C₂×C₄×C₇	—	2	1	no	—
755	C₂×C₄×C₇	—	2	1	no	—
756	C₂×C₄×C₇	—	2	8	no	—
757	C₂×C₄×C₇	—	2	8	no	—
758	C₂×C₄×C₇	—	2	1	no	—
759	C₂×C₄×C₇	—	2	1	no	—
760	C₂×C₄×C₇	—	2	1	no	—
761	C₂×C₄×C₇	—	2	1	no	—
762	C₂×C₄×C₇	—	2	1	no	—
763	C₂×C₄×C₇	—	2	1	no	—
764	C₂×C₄×C₇	—	2	1	no	—
765	C₂×C₄×C₇	—	2	1	no	—
766	C₂×C₄×C₇	—	2	1	no	—
767	C₂×C₄×C₇	—	2	1	no	—
768	C₂×C₄×C₇	—	2	1	no	—
769	C₂×C₄×C₇	—	2	1	no	—
770	C₂×C₄×C₇	—	2	1	no	—
771	C₂×C₄×C₇	—	2	1	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	—	4	4	no	—
804	C₂×C₄×C₇	—	4	4	no	—
805	C₂×C₄×C₇	—	4	4	no	—
806	C₂×C₄×C₇	—	4	4	no	—
807	C₂×C₄×C₇	—	4	4	no	—
808	C₂×C₄×C₇	—	4	4	no	—
809	C₂×C₄×C₇	—	4	4	no	—
810	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
811	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
812	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
813	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
814	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
815	C₂×C₄×C₇	C₂×#41	1	2	yes	—
816	C₂×C₄×C₇	C₂×#41	1	2	yes	—
817	C₂×C₄×C₇	C₂×#41	1	2	yes	—
818	C₂×C₄×C₇	C₂×#41	1	2	yes	—
819	C₂×C₄×C₇	C₂×#41	1	2	yes	—
820	C₂×C₄×C₇	C₂×#41	1	2	yes	—
821	C₂×C₄×C₇	C₂×#41	1	2	yes	—
822	C₂×C₄×C₇	C₂×#41	1	2	yes	—
823	C₂×C₄×C₇	C₂×#41	1	2	yes	—
824	C₂×C₄×C₇	C₂×#41	1	2	yes	—
825	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
826	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
827	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
828	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
829	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
830	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
831	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
832	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
833	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
834	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
835	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
836	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
837	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
838	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
839	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
840	#125	—	2	4	no	—
841	C₂²⋊Q₈	—	2	4	no	—
842	C₂²⋊Q₈	—	2	4	no	—
843	C₂²⋊Q₈	—	2	4	no	—
844	C₂²⋊Q₈	—	2	4	no	—
845	C₄×Q₈	—	2	4	no	—
846	C₄×Q₈	—	4	2	no	—
847	C₄×Q₈	—	4	2	no	—
848	C₄×D₄	—	2	4	no	—
849	C₄×D₄	—	2	4	no	—
850	C₄×D₄	C₇×Q₈	1	8	yes	complemented
851	#117	—	2	4	no	—
852	#117	—	4	2	no	—
853	C₂×C₄⋊C₄	—	2	4	no	—
854	C₂×C₄⋊C₄	—	2	4	no	—
855	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
861	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
862	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
864	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
902	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
903	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
908	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
913	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
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×C₄²	—	2	4	no	—
920	C₂×C₄²	—	4	2	no	—
921	C₂×C₄²	—	4	2	no	—
922	C₂×C₄²	—	4	2	no	—
923	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
924	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
925	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
926	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
927	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
928	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
929	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
930	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
931	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
932	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
933	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
934	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
935	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
936	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
937	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
938	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
939	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
940	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
941	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
942	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
943	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
944	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
945	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
946	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
947	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
948	#95	C₂³×C₇	1	1	yes	characteristic
949	#95	C₂³×C₇	1	1	yes	characteristic
950	#95	C₂³×C₇	1	1	yes	characteristic
951	#95	C₂³×C₇	1	1	yes	characteristic
952	#95	C₂³×C₇	1	1	yes	characteristic
953	#95	C₂³×C₇	1	1	yes	characteristic
954	#95	C₂³×C₇	1	1	yes	characteristic
955	#95	C₂³×C₇	1	1	yes	characteristic
956	#95	C₂³×C₇	1	1	yes	characteristic
957	#95	C₂³×C₇	1	1	yes	characteristic
958	#95	C₂³×C₇	1	1	yes	characteristic
959	#95	C₂³×C₇	1	1	yes	characteristic
960	#95	C₂³×C₇	1	1	yes	characteristic
961	#95	C₂³×C₇	1	1	yes	characteristic
962	#95	C₂³×C₇	1	1	yes	characteristic
963	#95	C₂³×C₇	1	1	yes	characteristic
964	#95	C₂³×C₇	1	1	yes	characteristic
965	#95	C₂³×C₇	1	1	yes	characteristic
966	#95	C₂³×C₇	1	1	yes	characteristic
967	#95	C₂³×C₇	1	1	yes	characteristic
968	#95	C₂³×C₇	1	1	yes	characteristic
969	#95	C₂³×C₇	1	1	yes	characteristic
970	#95	C₂³×C₇	1	1	yes	characteristic
971	#95	C₂³×C₇	1	1	yes	characteristic
972	#95	C₂³×C₇	1	1	yes	characteristic
973	#95	C₂³×C₇	1	1	yes	characteristic
974	#95	C₂³×C₇	1	1	yes	characteristic
975	#95	C₂³×C₇	1	1	yes	characteristic
976	#95	C₂³×C₇	1	1	yes	characteristic
977	#95	C₂³×C₇	1	1	yes	characteristic
978	#95	C₂³×C₇	1	1	yes	characteristic
979	#95	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	C₂²×C₇	—	2	2	no	—
1001	C₂²×C₇	—	2	2	no	—
1002	C₂²×C₇	—	2	2	no	—
1003	C₂²×C₇	—	2	2	no	—
1004	C₂²×C₇	—	2	2	no	—
1005	C₂²×C₇	—	2	2	no	—
1006	C₂²×C₇	—	2	2	no	—
1007	C₂²×C₇	—	2	2	no	—
1008	C₂²×C₇	—	2	2	no	—
1009	C₂²×C₇	—	4	1	no	—
1010	C₂²×C₇	—	4	1	no	—
1011	C₂²×C₇	—	4	1	no	—
1012	C₂²×C₇	—	4	1	no	—
1013	C₂²×C₇	#533	1	4	yes	—
1014	C₂²×C₇	C₂³×Q₈	1	1	yes	characteristic
1015	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1016	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1017	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1018	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1019	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1020	C₂²×C₇	#585	1	1	yes	characteristic
1021	C₄×C₇	—	2	2	no	—
1022	C₄×C₇	—	2	2	no	—
1023	C₄×C₇	—	2	2	no	—
1024	C₄×C₇	—	2	2	no	—
1025	C₄×C₇	—	2	2	no	—
1026	C₄×C₇	—	2	2	no	—
1027	C₄×C₇	—	2	2	no	—
1028	C₄×C₇	—	2	2	no	—
1029	C₄×C₇	—	2	2	no	—
1030	C₄×C₇	—	2	2	no	—
1031	C₄×C₇	—	2	2	no	—
1032	C₄×C₇	—	2	2	no	—
1033	C₄×C₇	—	2	2	no	—
1034	C₄×C₇	—	4	1	no	—
1035	C₄×C₇	—	4	1	no	—
1036	C₄×C₇	—	4	1	no	—
1037	C₄×C₇	—	4	1	no	—
1038	C₄×C₇	—	4	1	no	—
1039	C₄×C₇	—	4	1	no	—
1040	C₄×C₇	—	4	1	no	—
1041	C₄×C₇	—	4	1	no	—
1042	C₄×C₇	—	4	1	no	—
1043	C₄×C₇	—	4	1	no	—
1044	C₄×C₇	—	4	1	no	—
1045	C₄×C₇	—	4	1	no	—
1046	C₄×C₇	—	4	1	no	—
1047	C₄×C₇	—	4	1	no	—
1048	C₄×C₇	—	4	1	no	—
1049	C₄×C₇	#554	1	4	yes	—
1050	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1051	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1052	C₂×Q₈	—	2	2	no	—
1053	C₂×Q₈	—	2	2	no	—
1054	C₂×Q₈	—	2	2	no	—
1055	C₂×Q₈	—	2	2	no	—
1056	C₂×Q₈	—	2	2	no	—
1057	C₂×Q₈	—	4	1	no	—
1058	C₂×Q₈	—	4	1	no	—
1059	C₂×Q₈	—	4	1	no	—
1060	C₂×Q₈	—	4	1	no	—
1061	C₂×D₄	—	2	2	no	—
1062	C₂×D₄	—	2	2	no	—
1063	C₂×D₄	C₂×C₇×Q₈	1	4	yes	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	—	2	2	no	—
1066	C₂²×C₄	—	2	2	no	—
1067	C₂²×C₄	—	2	2	no	—
1068	C₂²×C₄	—	2	2	no	—
1069	C₂²×C₄	—	2	2	no	—
1070	C₂²×C₄	—	2	2	no	—
1071	C₂²×C₄	—	2	2	no	—
1072	C₂²×C₄	—	2	2	no	—
1073	C₂²×C₄	—	2	2	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	2	2	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	—	2	2	no	—
1079	C₂²×C₄	—	2	2	no	—
1080	C₂²×C₄	—	2	2	no	—
1081	C₂²×C₄	—	4	1	no	—
1082	C₂²×C₄	—	4	1	no	—
1083	C₂²×C₄	—	4	1	no	—
1084	C₂²×C₄	—	4	1	no	—
1085	C₂²×C₄	—	4	1	no	—
1086	C₂²×C₄	—	4	1	no	—
1087	C₂²×C₄	—	4	1	no	—
1088	C₂²×C₄	—	4	1	no	—
1089	C₂²×C₄	—	4	1	no	—
1090	C₂²×C₄	—	4	1	no	—
1091	C₂²×C₄	C₂×C₇×Q₈	1	4	yes	—
1092	C₂²×C₄	C₂×C₇×Q₈	1	4	yes	—
1093	C₂²×C₄	C₇×#41	1	4	yes	—
1094	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1096	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1098	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1099	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1100	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1101	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1103	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1106	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1108	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1110	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1114	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1115	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1116	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1118	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1122	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	2	2	no	—
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	2	2	no	—
1128	C₄⋊C₄	—	2	2	no	—
1129	C₄⋊C₄	—	2	2	no	—
1130	C₄⋊C₄	—	2	2	no	—
1131	C₄⋊C₄	—	2	2	no	—
1132	C₄⋊C₄	—	2	2	no	—
1133	C₄⋊C₄	—	2	2	no	—
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	2	2	no	—
1136	C₄⋊C₄	—	2	2	no	—
1137	C₄⋊C₄	—	2	2	no	—
1138	C₄⋊C₄	—	2	2	no	—
1139	C₄⋊C₄	—	2	2	no	—
1140	C₄⋊C₄	—	2	2	no	—
1141	C₄⋊C₄	—	2	2	no	—
1142	C₄⋊C₄	—	2	2	no	—
1143	C₄⋊C₄	—	2	2	no	—
1144	C₄⋊C₄	—	2	2	no	—
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	2	2	no	—
1147	C₄⋊C₄	—	2	2	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	2	2	no	—
1152	C₄⋊C₄	—	2	2	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	4	1	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	C₂×C₇×Q₈	1	4	yes	—
1168	C₄⋊C₄	C₇×#41	1	4	yes	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	2	2	no	—
1171	C₂²⋊C₄	—	2	2	no	—
1172	C₂²⋊C₄	—	2	2	no	—
1173	C₂²⋊C₄	—	2	2	no	—
1174	C₂²⋊C₄	—	2	2	no	—
1175	C₂²⋊C₄	—	2	2	no	—
1176	C₂²⋊C₄	—	2	2	no	—
1177	C₂²⋊C₄	—	2	2	no	—
1178	C₂²⋊C₄	—	2	2	no	—
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	—	4	1	no	—
1182	C₂²⋊C₄	—	4	1	no	—
1183	C₂²⋊C₄	—	4	1	no	—
1184	C₂²⋊C₄	C₂×C₇×Q₈	1	4	yes	—
1185	C₂²⋊C₄	C₂×C₇×Q₈	1	4	yes	—
1186	C₂²⋊C₄	C₇×#41	1	4	yes	—
1187	C₄²	—	2	2	no	—
1188	C₄²	—	2	2	no	—
1189	C₄²	—	2	2	no	—
1190	C₄²	—	2	2	no	—
1191	C₄²	—	2	2	no	—
1192	C₄²	—	2	2	no	—
1193	C₄²	—	2	2	no	—
1194	C₄²	—	2	2	no	—
1195	C₄²	—	2	2	no	—
1196	C₄²	—	2	2	no	—
1197	C₄²	—	2	2	no	—
1198	C₄²	—	2	2	no	—
1199	C₄²	—	2	2	no	—
1200	C₄²	—	2	2	no	—
1201	C₄²	—	2	2	no	—
1202	C₄²	—	2	2	no	—
1203	C₄²	—	4	1	no	—
1204	C₄²	—	4	1	no	—
1205	C₄²	—	4	1	no	—
1206	C₄²	—	4	1	no	—
1207	C₄²	—	4	1	no	—
1208	C₄²	—	4	1	no	—
1209	C₄²	—	4	1	no	—
1210	C₄²	C₂×C₇×Q₈	1	4	yes	—
1211	C₄²	C₇×#41	1	4	yes	—
1212	C₂×C₇	—	2	4	no	—
1213	C₂×C₇	—	4	2	no	—
1214	C₂×C₇	C₂×#533	1	1	yes	characteristic
1215	C₂×C₇	#3444	1	1	yes	characteristic
1216	C₂×C₇	#3459	1	1	yes	characteristic
1217	C₂×C₇	C₂×#554	1	1	yes	characteristic
1218	C₂×C₇	#3475	1	1	yes	characteristic
1219	C₂×C₇	Q₈×#41	1	1	yes	characteristic
1220	C₂×C₇	#3481	1	1	yes	characteristic
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	C₂²×C₇×Q₈	1	2	yes	—
1232	C₂³	C₂²×C₇×Q₈	1	2	yes	—
1233	C₂³	C₂×C₇×#41	1	2	yes	—
1234	C₂³	C₂×C₇×#41	1	2	yes	—
1235	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1236	Q₈	—	4	4	no	—
1237	Q₈	—	4	4	no	—
1238	Q₈	—	4	4	no	—
1239	D₄	—	2	8	no	—
1240	C₂×C₄	—	2	8	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	8	no	—
1268	C₂×C₄	—	2	8	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	4	4	no	—
1315	C₂×C₄	—	4	4	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	4	no	—
1320	C₂×C₄	—	4	4	no	—
1321	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1322	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1323	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1324	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1325	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1326	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1327	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1328	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1329	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1330	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1331	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1332	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1333	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1334	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1335	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1336	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1337	C₇	#34840	1	1	yes	characteristic, direct product factor, Sylow
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	C₇×#533	1	4	yes	—
1352	C₂²	C₂³×C₇×Q₈	1	1	yes	characteristic
1353	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1354	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1355	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1356	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1357	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1358	C₂²	C₇×#585	1	1	yes	characteristic
1359	C₄	—	2	2	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	2	2	no	—
1364	C₄	—	2	2	no	—
1365	C₄	—	2	2	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	2	2	no	—
1368	C₄	—	2	2	no	—
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	C₇×#554	1	4	yes	—
1388	C₂	—	2	4	no	—
1389	C₂	—	4	2	no	—
1390	C₂	C₂×C₇×#533	1	1	yes	characteristic
1391	C₂	C₇×#3444	1	1	yes	characteristic
1392	C₂	C₇×#3459	1	1	yes	characteristic
1393	C₂	C₂×C₇×#554	1	1	yes	characteristic
1394	C₂	C₇×#3475	1	1	yes	characteristic
1395	C₂	C₇×Q₈×#41	1	1	yes	characteristic
1396	C₂	C₇×#3481	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₇	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
socle	C₂³×C₇	C₂⁵
prime radical	C₂²×C₇×D₄	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#2590	C₂	semidirect
2. C₇×#2589	C₂	semidirect
3. C₇×#2588	C₂	semidirect
4. C₇×#2587	C₂	semidirect
5. C₇×#2586	C₂	semidirect
6. C₇×#2585	C₂	semidirect
7. C₇×#2583	C₂	semidirect
9. C₇×#2574	C₂	semidirect
11. C₇×#2556	C₂	semidirect
12. C₇×#2549	C₂	semidirect
13. C₇×#2505	C₂	semidirect
14. C₇×#2473	C₂	semidirect
17. C₇×#2402	C₂	semidirect
18. C₇×#2399	C₂	semidirect
19. C₇×#2396	C₂	semidirect
20. C₇×#2396	C₂	semidirect
21. C₄×C₇×#125	C₂	semidirect
22. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
23. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
25. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
26. C₇×#2296	C₂	semidirect
27. C₇×#2295	C₂	semidirect
31. C₂×C₄×C₇×C₄⋊C₄	C₂	semidirect
187. #34840	C₇	direct (N × H)
212. C₄×C₇×D₄	Q₈	semidirect
362. #2590	C₂×C₇	semidirect
363. #2589	C₂×C₇	semidirect
364. #2588	C₂×C₇	semidirect
365. #2587	C₂×C₇	semidirect
366. #2586	C₂×C₇	semidirect
367. #2585	C₂×C₇	semidirect
368. #2583	C₂×C₇	semidirect
370. #2574	C₂×C₇	semidirect
372. #2556	C₂×C₇	semidirect
373. #2549	C₂×C₇	semidirect
374. #2505	C₂×C₇	semidirect
375. #2473	C₂×C₇	semidirect
378. #2402	C₂×C₇	semidirect
379. #2399	C₂×C₇	semidirect
380. #2396	C₂×C₇	semidirect
381. #2396	C₂×C₇	semidirect
382. C₄×#125	C₂×C₇	semidirect
383. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
384. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
385. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
386. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
387. #2296	C₂×C₇	semidirect
388. #2295	C₂×C₇	semidirect
392. C₂×C₄×C₄⋊C₄	C₂×C₇	semidirect
850. C₄×D₄	C₇×Q₈	semidirect
1337. C₇	#34840	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×#2590	2
C₇×#2589	2
C₇×#2588	2
C₇×#2587	2
C₇×#2586	2
C₇×#2585	2
C₇×#2583	2
C₇×#2579	2
C₇×#2574	2
C₇×#2564	2
C₇×#2556	2
C₇×#2549	2
C₇×#2505	2
C₇×#2473	2
C₇×#2450	2
C₇×#2449	2
C₇×#2402	2
C₇×#2399	2
C₇×#2396	2
C₄×C₇×#125	2
C₄×C₇×C₂²⋊Q₈	2
C₇×#2296	2
C₇×#2295	2
C₇×#2290	2
C₄²×C₇×D₄	2
C₂×C₄×C₇×C₄⋊C₄	2
#34840	7

Subgroups — C7×#34840 #13212056

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#34840 #13212056