Subgroups — C₇×#35059 #13212275

Order 1792.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2855	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#2853	C₂	1	1	yes	maximal, characteristic
3	C₇×#2852	C₂	1	1	yes	maximal, characteristic
4	C₇×#2851	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2666	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2664	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2655	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2654	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#2596	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2594	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2590	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2588	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2585	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2585	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2573	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2556	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2498	C₂	1	1	yes	maximal, characteristic
18	C₇×#2493	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2484	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2473	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2449	C₂	1	1	yes	maximal, characteristic
22	C₇×#2438	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2419	C₂	1	1	yes	maximal, characteristic
24	C₇×#2413	C₂	1	1	yes	maximal, characteristic
25	C₇×#2336	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#2336	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2334	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2332	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₇×#123	C₂	1	1	yes	maximal, characteristic
30	C₇×#2296	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₇×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#126	C₂²	1	1	yes	characteristic
33	C₂×C₇×#125	C₂²	1	1	yes	characteristic
34	C₂×C₇×#125	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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₇×#117	C₂²	1	1	yes	characteristic
41	C₂×C₇×#117	C₂²	1	1	yes	characteristic
42	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
45	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
47	C₇×#401	C₂²	1	1	yes	characteristic
48	C₇×#400	C₂²	1	1	yes	characteristic
49	C₇×#400	C₂²	1	1	yes	characteristic
50	C₇×#400	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×#397	C₂²	1	1	yes	characteristic
72	C₇×#397	C₂²	1	1	yes	characteristic
73	C₇×#397	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
77	C₇×#395	C₂²	1	1	yes	characteristic
78	C₇×#395	C₂²	1	1	yes	characteristic
79	C₇×#391	C₂²	1	1	yes	characteristic
80	C₇×#391	C₂²	1	1	yes	characteristic
81	C₇×#391	C₂²	1	1	yes	characteristic
82	C₇×#389	C₂²	1	1	yes	characteristic
83	C₇×#389	C₂²	1	1	yes	characteristic
84	C₇×#389	C₂²	1	1	yes	characteristic
85	C₇×#389	C₂²	1	1	yes	characteristic
86	C₇×#389	C₂²	1	1	yes	characteristic
87	C₇×#389	C₂²	1	1	yes	characteristic
88	C₇×#389	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×#388	C₂²	1	1	yes	characteristic
96	C₇×#388	C₂²	1	1	yes	characteristic
97	C₇×#388	C₂²	1	1	yes	characteristic
98	C₇×#388	C₂²	1	1	yes	characteristic
99	C₇×#388	C₂²	1	1	yes	characteristic
100	C₇×#388	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×#388	C₂²	1	1	yes	characteristic
106	C₇×#388	C₂²	1	1	yes	characteristic
107	C₇×#388	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×#387	C₂²	1	1	yes	characteristic
126	C₇×#387	C₂²	1	1	yes	characteristic
127	C₇×#387	C₂²	1	1	yes	characteristic
128	C₇×#387	C₂²	1	1	yes	characteristic
129	C₇×#387	C₂²	1	1	yes	characteristic
130	C₇×#387	C₂²	1	1	yes	characteristic
131	C₇×#387	C₂²	1	1	yes	characteristic
132	C₇×#387	C₂²	1	1	yes	characteristic
133	C₇×#387	C₂²	1	1	yes	characteristic
134	C₇×#387	C₂²	1	1	yes	characteristic
135	C₇×#387	C₂²	1	1	yes	characteristic
136	C₇×#387	C₂²	1	1	yes	characteristic
137	C₇×#387	C₂²	1	1	yes	characteristic
138	C₇×#387	C₂²	1	1	yes	characteristic
139	C₇×#387	C₂²	1	1	yes	characteristic
140	C₇×#387	C₂²	1	1	yes	characteristic
141	C₇×#386	C₂²	1	1	yes	characteristic
142	C₇×#386	C₂²	1	1	yes	characteristic
143	C₇×#386	C₂²	1	1	yes	characteristic
144	C₇×#386	C₂²	1	1	yes	characteristic
145	C₇×#385	C₂²	1	1	yes	characteristic
146	C₇×#385	C₂²	1	1	yes	characteristic
147	C₇×#385	C₂²	1	1	yes	characteristic
148	C₇×#385	C₂²	1	1	yes	characteristic
149	C₇×#385	C₂²	1	1	yes	characteristic
150	C₇×#385	C₂²	1	1	yes	characteristic
151	C₇×#385	C₂²	1	1	yes	characteristic
152	C₇×#385	C₂²	1	1	yes	characteristic
153	C₇×#385	C₂²	1	1	yes	characteristic
154	C₇×#385	C₂²	1	1	yes	characteristic
155	C₇×#385	C₂²	1	1	yes	characteristic
156	C₇×#385	C₂²	1	1	yes	characteristic
157	C₇×#383	C₂²	1	1	yes	characteristic
158	C₇×#383	C₂²	1	1	yes	characteristic
159	C₇×#382	C₂²	1	1	yes	characteristic
160	C₇×#381	C₂²	1	1	yes	characteristic
161	C₇×#381	C₂²	1	1	yes	characteristic
162	C₇×#381	C₂²	1	1	yes	characteristic
163	C₇×#381	C₂²	1	1	yes	characteristic
164	C₇×#381	C₂²	1	1	yes	characteristic
165	C₇×#380	C₂²	1	1	yes	characteristic
166	C₇×#380	C₂²	1	1	yes	characteristic
167	C₇×#380	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×C₄⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
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
185	C₂×C₇×#95	C₂²	1	1	yes	characteristic
186	C₂×C₇×#95	C₂²	1	1	yes	characteristic
187	#35059	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₇	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	C₇×#126	—	2	4	no	—
199	C₇×#125	—	2	4	no	—
200	C₇×#125	—	2	4	no	—
201	C₇×#123	—	2	4	no	—
202	C₇×#123	—	4	2	no	—
203	C₇×C₂²⋊Q₈	—	2	4	no	—
204	C₇×C₂²⋊Q₈	—	4	2	no	—
205	C₄×C₇×D₄	—	4	2	no	—
206	C₇×#117	—	2	4	no	—
207	C₇×#117	—	4	2	no	—
208	C₂×C₇×C₄⋊C₄	—	2	4	no	—
209	C₂×C₇×C₄⋊C₄	—	2	4	no	—
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×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×C₄²×C₇	—	2	4	no	—
277	C₂×C₄²×C₇	—	4	2	no	—
278	C₂×C₄²×C₇	—	4	2	no	—
279	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
280	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
281	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
282	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
283	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
284	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
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	C₇×#95	C₂³	1	1	yes	characteristic
299	C₇×#95	C₂³	1	1	yes	characteristic
300	C₇×#95	C₂³	1	1	yes	characteristic
301	C₇×#95	C₂³	1	1	yes	characteristic
302	C₇×#95	C₂³	1	1	yes	characteristic
303	C₇×#95	C₂³	1	1	yes	characteristic
304	C₇×#95	C₂³	1	1	yes	characteristic
305	C₇×#95	C₂³	1	1	yes	characteristic
306	C₇×#95	C₂³	1	1	yes	characteristic
307	C₇×#95	C₂³	1	1	yes	characteristic
308	C₇×#95	C₂³	1	1	yes	characteristic
309	C₇×#95	C₂³	1	1	yes	characteristic
310	C₇×#95	C₂³	1	1	yes	characteristic
311	C₇×#95	C₂³	1	1	yes	characteristic
312	C₇×#95	C₂³	1	1	yes	characteristic
313	C₇×#95	C₂³	1	1	yes	characteristic
314	C₇×#95	C₂³	1	1	yes	characteristic
315	C₇×#95	C₂³	1	1	yes	characteristic
316	C₇×#95	C₂³	1	1	yes	characteristic
317	C₇×#95	C₂³	1	1	yes	characteristic
318	C₇×#95	C₂³	1	1	yes	characteristic
319	C₇×#95	C₂³	1	1	yes	characteristic
320	C₇×#95	C₂³	1	1	yes	characteristic
321	C₇×#95	C₂³	1	1	yes	characteristic
322	C₇×#95	C₂³	1	1	yes	characteristic
323	C₇×#95	C₂³	1	1	yes	characteristic
324	C₇×#95	C₂³	1	1	yes	characteristic
325	C₇×#95	C₂³	1	1	yes	characteristic
326	C₇×#95	C₂³	1	1	yes	characteristic
327	C₇×#95	C₂³	1	1	yes	characteristic
328	C₇×#95	C₂³	1	1	yes	characteristic
329	C₇×#95	C₂³	1	1	yes	characteristic
330	C₇×#95	C₂³	1	1	yes	characteristic
331	C₇×#95	C₂³	1	1	yes	characteristic
332	C₇×#95	C₂³	1	1	yes	characteristic
333	C₇×#95	C₂³	1	1	yes	characteristic
334	C₇×#95	C₂³	1	1	yes	characteristic
335	C₇×#95	C₂³	1	1	yes	characteristic
336	C₇×#95	C₂³	1	1	yes	characteristic
337	C₇×#95	C₂³	1	1	yes	characteristic
338	C₇×#95	C₂³	1	1	yes	characteristic
339	C₇×#95	C₂³	1	1	yes	characteristic
340	C₇×#95	C₂³	1	1	yes	characteristic
341	C₇×#95	C₂³	1	1	yes	characteristic
342	C₇×#95	C₂³	1	1	yes	characteristic
343	C₇×#95	C₂³	1	1	yes	characteristic
344	C₇×#95	C₂³	1	1	yes	characteristic
345	C₇×#95	C₂³	1	1	yes	characteristic
346	C₇×#95	C₂³	1	1	yes	characteristic
347	C₇×#95	C₂³	1	1	yes	characteristic
348	C₇×#95	C₂³	1	1	yes	characteristic
349	C₇×#95	C₂³	1	1	yes	characteristic
350	C₇×#95	C₂³	1	1	yes	characteristic
351	C₇×#95	C₂³	1	1	yes	characteristic
352	C₇×#95	C₂³	1	1	yes	characteristic
353	C₇×#95	C₂³	1	1	yes	characteristic
354	C₇×#95	C₂³	1	1	yes	characteristic
355	C₇×#95	C₂³	1	1	yes	characteristic
356	C₇×#95	C₂³	1	1	yes	characteristic
357	C₇×#95	C₂³	1	1	yes	characteristic
358	#2855	C₂×C₇	1	1	yes	characteristic, complemented
359	#2853	C₂×C₇	1	1	yes	characteristic
360	#2852	C₂×C₇	1	1	yes	characteristic
361	#2851	C₂×C₇	1	1	yes	characteristic, complemented
362	#2666	C₂×C₇	1	1	yes	characteristic, complemented
363	#2664	C₂×C₇	1	1	yes	characteristic, complemented
364	#2655	C₂×C₇	1	1	yes	characteristic, complemented
365	#2654	C₂×C₇	1	1	yes	characteristic, complemented
366	#2596	C₂×C₇	1	1	yes	characteristic, complemented
367	#2594	C₂×C₇	1	1	yes	characteristic, complemented
368	#2590	C₂×C₇	1	1	yes	characteristic, complemented
369	#2588	C₂×C₇	1	1	yes	characteristic, complemented
370	#2585	C₂×C₇	1	1	yes	characteristic, complemented
371	#2585	C₂×C₇	1	1	yes	characteristic, complemented
372	#2573	C₂×C₇	1	1	yes	characteristic, complemented
373	#2556	C₂×C₇	1	1	yes	characteristic, complemented
374	#2498	C₂×C₇	1	1	yes	characteristic
375	#2493	C₂×C₇	1	1	yes	characteristic, complemented
376	#2484	C₂×C₇	1	1	yes	characteristic, complemented
377	#2473	C₂×C₇	1	1	yes	characteristic, complemented
378	#2449	C₂×C₇	1	1	yes	characteristic
379	#2438	C₂×C₇	1	1	yes	characteristic, complemented
380	#2419	C₂×C₇	1	1	yes	characteristic
381	#2413	C₂×C₇	1	1	yes	characteristic
382	#2336	C₂×C₇	1	1	yes	characteristic, complemented
383	#2336	C₂×C₇	1	1	yes	characteristic, complemented
384	#2334	C₂×C₇	1	1	yes	characteristic, complemented
385	#2332	C₂×C₇	1	1	yes	characteristic, complemented
386	C₄×#123	C₂×C₇	1	1	yes	characteristic
387	#2296	C₂×C₇	1	1	yes	characteristic, complemented
388	C₂×C₄×C₄⋊C₄	C₂×C₇	1	1	yes	characteristic, complemented
389	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
390	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
391	C₂×C₇×Q₈	—	2	2	no	—
392	C₂×C₇×Q₈	—	4	1	no	—
393	C₂×C₇×Q₈	—	4	1	no	—
394	C₂×C₇×D₄	—	2	2	no	—
395	C₂×C₇×D₄	—	2	2	no	—
396	C₂×C₇×D₄	—	2	2	no	—
397	C₂²×C₄×C₇	—	2	2	no	—
398	C₂²×C₄×C₇	—	2	2	no	—
399	C₂²×C₄×C₇	—	2	2	no	—
400	C₂²×C₄×C₇	—	2	2	no	—
401	C₂²×C₄×C₇	—	2	2	no	—
402	C₂²×C₄×C₇	—	2	2	no	—
403	C₂²×C₄×C₇	—	2	2	no	—
404	C₂²×C₄×C₇	—	2	2	no	—
405	C₂²×C₄×C₇	—	2	2	no	—
406	C₂²×C₄×C₇	—	2	2	no	—
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	—	4	1	no	—
416	C₂²×C₄×C₇	—	4	1	no	—
417	C₂²×C₄×C₇	—	4	1	no	—
418	C₂²×C₄×C₇	—	4	1	no	—
419	C₂²×C₄×C₇	—	4	1	no	—
420	C₂²×C₄×C₇	#41	1	4	yes	—
421	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	—	2	2	no	—
451	C₇×C₄⋊C₄	—	2	2	no	—
452	C₇×C₄⋊C₄	—	2	2	no	—
453	C₇×C₄⋊C₄	—	2	2	no	—
454	C₇×C₄⋊C₄	—	2	2	no	—
455	C₇×C₄⋊C₄	—	2	2	no	—
456	C₇×C₄⋊C₄	—	2	2	no	—
457	C₇×C₄⋊C₄	—	2	2	no	—
458	C₇×C₄⋊C₄	—	2	2	no	—
459	C₇×C₄⋊C₄	—	2	2	no	—
460	C₇×C₄⋊C₄	—	2	2	no	—
461	C₇×C₄⋊C₄	—	2	2	no	—
462	C₇×C₄⋊C₄	—	2	2	no	—
463	C₇×C₄⋊C₄	—	2	2	no	—
464	C₇×C₄⋊C₄	—	2	2	no	—
465	C₇×C₄⋊C₄	—	2	2	no	—
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	—	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	#41	1	4	yes	—
496	C₇×C₂²⋊C₄	—	2	2	no	—
497	C₇×C₂²⋊C₄	—	2	2	no	—
498	C₇×C₂²⋊C₄	—	2	2	no	—
499	C₇×C₂²⋊C₄	—	2	2	no	—
500	C₇×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
512	C₇×C₂²⋊C₄	—	4	1	no	—
513	C₇×C₂²⋊C₄	—	4	1	no	—
514	C₇×C₂²⋊C₄	—	4	1	no	—
515	C₇×C₂²⋊C₄	—	4	1	no	—
516	C₄²×C₇	—	2	2	no	—
517	C₄²×C₇	—	2	2	no	—
518	C₄²×C₇	—	2	2	no	—
519	C₄²×C₇	—	2	2	no	—
520	C₄²×C₇	—	2	2	no	—
521	C₄²×C₇	—	2	2	no	—
522	C₄²×C₇	—	4	1	no	—
523	C₄²×C₇	—	4	1	no	—
524	C₄²×C₇	—	4	1	no	—
525	C₄²×C₇	—	4	1	no	—
526	C₄²×C₇	—	4	1	no	—
527	C₄²×C₇	—	4	1	no	—
528	C₄²×C₇	—	4	1	no	—
529	C₄²×C₇	—	4	1	no	—
530	C₄²×C₇	—	4	1	no	—
531	C₄²×C₇	—	4	1	no	—
532	C₄²×C₇	—	4	1	no	—
533	C₄²×C₇	—	4	1	no	—
534	C₄²×C₇	#41	1	4	yes	—
535	C₂×#126	C₂²×C₇	1	1	yes	characteristic
536	C₂×#125	C₂²×C₇	1	1	yes	characteristic
537	C₂×#125	C₂²×C₇	1	1	yes	characteristic
538	C₂×#123	C₂²×C₇	1	1	yes	characteristic
539	C₂×#123	C₂²×C₇	1	1	yes	characteristic
540	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
541	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
542	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
543	C₂×#117	C₂²×C₇	1	1	yes	characteristic
544	C₂×#117	C₂²×C₇	1	1	yes	characteristic
545	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
546	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
547	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
548	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
549	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
550	#401	C₂²×C₇	1	1	yes	characteristic
551	#400	C₂²×C₇	1	1	yes	characteristic
552	#400	C₂²×C₇	1	1	yes	characteristic
553	#400	C₂²×C₇	1	1	yes	characteristic
554	#400	C₂²×C₇	1	1	yes	characteristic
555	#400	C₂²×C₇	1	1	yes	characteristic
556	#400	C₂²×C₇	1	1	yes	characteristic
557	#400	C₂²×C₇	1	1	yes	characteristic
558	#400	C₂²×C₇	1	1	yes	characteristic
559	#400	C₂²×C₇	1	1	yes	characteristic
560	#399	C₂²×C₇	1	1	yes	characteristic
561	#399	C₂²×C₇	1	1	yes	characteristic
562	#398	C₂²×C₇	1	1	yes	characteristic
563	#398	C₂²×C₇	1	1	yes	characteristic
564	#398	C₂²×C₇	1	1	yes	characteristic
565	#398	C₂²×C₇	1	1	yes	characteristic
566	#398	C₂²×C₇	1	1	yes	characteristic
567	#398	C₂²×C₇	1	1	yes	characteristic
568	#398	C₂²×C₇	1	1	yes	characteristic
569	#398	C₂²×C₇	1	1	yes	characteristic
570	#398	C₂²×C₇	1	1	yes	characteristic
571	#398	C₂²×C₇	1	1	yes	characteristic
572	#398	C₂²×C₇	1	1	yes	characteristic
573	#398	C₂²×C₇	1	1	yes	characteristic
574	#397	C₂²×C₇	1	1	yes	characteristic
575	#397	C₂²×C₇	1	1	yes	characteristic
576	#397	C₂²×C₇	1	1	yes	characteristic
577	#396	C₂²×C₇	1	1	yes	characteristic
578	#396	C₂²×C₇	1	1	yes	characteristic
579	#396	C₂²×C₇	1	1	yes	characteristic
580	#395	C₂²×C₇	1	1	yes	characteristic
581	#395	C₂²×C₇	1	1	yes	characteristic
582	#391	C₂²×C₇	1	1	yes	characteristic
583	#391	C₂²×C₇	1	1	yes	characteristic
584	#391	C₂²×C₇	1	1	yes	characteristic
585	#389	C₂²×C₇	1	1	yes	characteristic
586	#389	C₂²×C₇	1	1	yes	characteristic
587	#389	C₂²×C₇	1	1	yes	characteristic
588	#389	C₂²×C₇	1	1	yes	characteristic
589	#389	C₂²×C₇	1	1	yes	characteristic
590	#389	C₂²×C₇	1	1	yes	characteristic
591	#389	C₂²×C₇	1	1	yes	characteristic
592	#389	C₂²×C₇	1	1	yes	characteristic
593	#389	C₂²×C₇	1	1	yes	characteristic
594	#389	C₂²×C₇	1	1	yes	characteristic
595	#389	C₂²×C₇	1	1	yes	characteristic
596	#389	C₂²×C₇	1	1	yes	characteristic
597	#389	C₂²×C₇	1	1	yes	characteristic
598	#388	C₂²×C₇	1	1	yes	characteristic
599	#388	C₂²×C₇	1	1	yes	characteristic
600	#388	C₂²×C₇	1	1	yes	characteristic
601	#388	C₂²×C₇	1	1	yes	characteristic
602	#388	C₂²×C₇	1	1	yes	characteristic
603	#388	C₂²×C₇	1	1	yes	characteristic
604	#388	C₂²×C₇	1	1	yes	characteristic
605	#388	C₂²×C₇	1	1	yes	characteristic
606	#388	C₂²×C₇	1	1	yes	characteristic
607	#388	C₂²×C₇	1	1	yes	characteristic
608	#388	C₂²×C₇	1	1	yes	characteristic
609	#388	C₂²×C₇	1	1	yes	characteristic
610	#388	C₂²×C₇	1	1	yes	characteristic
611	#387	C₂²×C₇	1	1	yes	characteristic
612	#387	C₂²×C₇	1	1	yes	characteristic
613	#387	C₂²×C₇	1	1	yes	characteristic
614	#387	C₂²×C₇	1	1	yes	characteristic
615	#387	C₂²×C₇	1	1	yes	characteristic
616	#387	C₂²×C₇	1	1	yes	characteristic
617	#387	C₂²×C₇	1	1	yes	characteristic
618	#387	C₂²×C₇	1	1	yes	characteristic
619	#387	C₂²×C₇	1	1	yes	characteristic
620	#387	C₂²×C₇	1	1	yes	characteristic
621	#387	C₂²×C₇	1	1	yes	characteristic
622	#387	C₂²×C₇	1	1	yes	characteristic
623	#387	C₂²×C₇	1	1	yes	characteristic
624	#387	C₂²×C₇	1	1	yes	characteristic
625	#387	C₂²×C₇	1	1	yes	characteristic
626	#387	C₂²×C₇	1	1	yes	characteristic
627	#387	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	#386	C₂²×C₇	1	1	yes	characteristic
645	#386	C₂²×C₇	1	1	yes	characteristic
646	#386	C₂²×C₇	1	1	yes	characteristic
647	#386	C₂²×C₇	1	1	yes	characteristic
648	#385	C₂²×C₇	1	1	yes	characteristic
649	#385	C₂²×C₇	1	1	yes	characteristic
650	#385	C₂²×C₇	1	1	yes	characteristic
651	#385	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	#383	C₂²×C₇	1	1	yes	characteristic
661	#383	C₂²×C₇	1	1	yes	characteristic
662	#382	C₂²×C₇	1	1	yes	characteristic
663	#381	C₂²×C₇	1	1	yes	characteristic
664	#381	C₂²×C₇	1	1	yes	characteristic
665	#381	C₂²×C₇	1	1	yes	characteristic
666	#381	C₂²×C₇	1	1	yes	characteristic
667	#381	C₂²×C₇	1	1	yes	characteristic
668	#380	C₂²×C₇	1	1	yes	characteristic
669	#380	C₂²×C₇	1	1	yes	characteristic
670	#380	C₂²×C₇	1	1	yes	characteristic
671	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
672	C₄×C₄⋊C₄	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×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
686	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
687	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
688	C₂×#95	C₂²×C₇	1	1	yes	characteristic
689	C₂×#95	C₂²×C₇	1	1	yes	characteristic
690	C₂³×C₇	—	2	1	no	—
691	C₂³×C₇	—	2	1	no	—
692	C₂³×C₇	—	2	1	no	—
693	C₂³×C₇	—	2	1	no	—
694	C₂³×C₇	—	2	1	no	—
695	C₂³×C₇	—	2	1	no	—
696	C₂³×C₇	—	2	1	no	—
697	C₂³×C₇	—	2	1	no	—
698	C₂³×C₇	—	2	1	no	—
699	C₂³×C₇	—	2	1	no	—
700	C₂³×C₇	—	2	1	no	—
701	C₂³×C₇	C₂×#41	1	2	yes	—
702	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
703	C₂³×C₇	2₋¹⁺⁴	1	2	yes	—
704	C₂³×C₇	C₂⁵	1	1	yes	characteristic
705	C₇×Q₈	—	8	2	no	—
706	C₇×D₄	—	4	4	no	—
707	C₂×C₄×C₇	—	2	8	no	—
708	C₂×C₄×C₇	—	2	8	no	—
709	C₂×C₄×C₇	—	2	8	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	2	1	no	—
716	C₂×C₄×C₇	—	2	1	no	—
717	C₂×C₄×C₇	—	2	1	no	—
718	C₂×C₄×C₇	—	2	1	no	—
719	C₂×C₄×C₇	—	2	1	no	—
720	C₂×C₄×C₇	—	2	1	no	—
721	C₂×C₄×C₇	—	2	1	no	—
722	C₂×C₄×C₇	—	2	1	no	—
723	C₂×C₄×C₇	—	2	1	no	—
724	C₂×C₄×C₇	—	2	1	no	—
725	C₂×C₄×C₇	—	2	1	no	—
726	C₂×C₄×C₇	—	2	1	no	—
727	C₂×C₄×C₇	—	2	1	no	—
728	C₂×C₄×C₇	—	2	1	no	—
729	C₂×C₄×C₇	—	2	1	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	1	no	—
757	C₂×C₄×C₇	—	2	1	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	—	4	4	no	—
789	C₂×C₄×C₇	—	4	4	no	—
790	C₂×C₄×C₇	—	4	4	no	—
791	C₂×C₄×C₇	—	4	4	no	—
792	C₂×C₄×C₇	—	8	2	no	—
793	C₂×C₄×C₇	C₂×#41	1	2	yes	—
794	C₂×C₄×C₇	C₂×#41	1	2	yes	—
795	C₂×C₄×C₇	C₂×#41	1	2	yes	—
796	C₂×C₄×C₇	C₂×#41	1	2	yes	—
797	C₂×C₄×C₇	C₂×#41	1	2	yes	—
798	C₂×C₄×C₇	C₂×#41	1	2	yes	—
799	C₂×C₄×C₇	C₂×#41	1	2	yes	—
800	C₂×C₄×C₇	C₂×#41	1	2	yes	—
801	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
802	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
803	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
804	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
805	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
806	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
807	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
808	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
809	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
810	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
811	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
812	#126	—	2	4	no	—
813	#125	—	2	4	no	—
814	#125	—	2	4	no	—
815	#123	—	2	4	no	—
816	#123	—	4	2	no	—
817	C₂²⋊Q₈	—	2	4	no	—
818	C₂²⋊Q₈	—	4	2	no	—
819	C₄×D₄	—	4	2	no	—
820	#117	—	2	4	no	—
821	#117	—	4	2	no	—
822	C₂×C₄⋊C₄	—	2	4	no	—
823	C₂×C₄⋊C₄	—	2	4	no	—
824	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
825	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
826	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
871	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
872	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
873	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
881	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
884	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
885	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
886	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
888	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
890	C₂×C₄²	—	2	4	no	—
891	C₂×C₄²	—	4	2	no	—
892	C₂×C₄²	—	4	2	no	—
893	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
894	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
895	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
896	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
897	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
898	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
899	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
900	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
901	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
902	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
903	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
904	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
905	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
906	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
907	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
908	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
909	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
910	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
911	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
912	#95	C₂³×C₇	1	1	yes	characteristic
913	#95	C₂³×C₇	1	1	yes	characteristic
914	#95	C₂³×C₇	1	1	yes	characteristic
915	#95	C₂³×C₇	1	1	yes	characteristic
916	#95	C₂³×C₇	1	1	yes	characteristic
917	#95	C₂³×C₇	1	1	yes	characteristic
918	#95	C₂³×C₇	1	1	yes	characteristic
919	#95	C₂³×C₇	1	1	yes	characteristic
920	#95	C₂³×C₇	1	1	yes	characteristic
921	#95	C₂³×C₇	1	1	yes	characteristic
922	#95	C₂³×C₇	1	1	yes	characteristic
923	#95	C₂³×C₇	1	1	yes	characteristic
924	#95	C₂³×C₇	1	1	yes	characteristic
925	#95	C₂³×C₇	1	1	yes	characteristic
926	#95	C₂³×C₇	1	1	yes	characteristic
927	#95	C₂³×C₇	1	1	yes	characteristic
928	#95	C₂³×C₇	1	1	yes	characteristic
929	#95	C₂³×C₇	1	1	yes	characteristic
930	#95	C₂³×C₇	1	1	yes	characteristic
931	#95	C₂³×C₇	1	1	yes	characteristic
932	#95	C₂³×C₇	1	1	yes	characteristic
933	#95	C₂³×C₇	1	1	yes	characteristic
934	#95	C₂³×C₇	1	1	yes	characteristic
935	#95	C₂³×C₇	1	1	yes	characteristic
936	#95	C₂³×C₇	1	1	yes	characteristic
937	#95	C₂³×C₇	1	1	yes	characteristic
938	#95	C₂³×C₇	1	1	yes	characteristic
939	#95	C₂³×C₇	1	1	yes	characteristic
940	#95	C₂³×C₇	1	1	yes	characteristic
941	#95	C₂³×C₇	1	1	yes	characteristic
942	#95	C₂³×C₇	1	1	yes	characteristic
943	#95	C₂³×C₇	1	1	yes	characteristic
944	#95	C₂³×C₇	1	1	yes	characteristic
945	#95	C₂³×C₇	1	1	yes	characteristic
946	#95	C₂³×C₇	1	1	yes	characteristic
947	#95	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	C₂²×C₇	—	2	2	no	—
973	C₂²×C₇	—	2	2	no	—
974	C₂²×C₇	—	2	2	no	—
975	C₂²×C₇	—	2	2	no	—
976	C₂²×C₇	—	2	2	no	—
977	C₂²×C₇	—	2	2	no	—
978	C₂²×C₇	—	4	1	no	—
979	C₂²×C₇	—	4	1	no	—
980	C₂²×C₇	—	4	1	no	—
981	C₂²×C₇	—	4	1	no	—
982	C₂²×C₇	—	4	1	no	—
983	C₂²×C₇	—	4	1	no	—
984	C₂²×C₇	—	4	1	no	—
985	C₂²×C₇	#539	1	4	yes	—
986	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
987	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
988	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
989	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
990	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
991	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
992	C₂²×C₇	#585	1	1	yes	characteristic
993	C₄×C₇	—	2	2	no	—
994	C₄×C₇	—	2	2	no	—
995	C₄×C₇	—	2	2	no	—
996	C₄×C₇	—	2	2	no	—
997	C₄×C₇	—	2	2	no	—
998	C₄×C₇	—	2	2	no	—
999	C₄×C₇	—	2	2	no	—
1000	C₄×C₇	—	2	2	no	—
1001	C₄×C₇	—	2	2	no	—
1002	C₄×C₇	—	4	1	no	—
1003	C₄×C₇	—	4	1	no	—
1004	C₄×C₇	—	4	1	no	—
1005	C₄×C₇	—	4	1	no	—
1006	C₄×C₇	—	4	1	no	—
1007	C₄×C₇	—	4	1	no	—
1008	C₄×C₇	—	4	1	no	—
1009	C₄×C₇	—	4	1	no	—
1010	C₄×C₇	—	4	1	no	—
1011	C₄×C₇	—	4	1	no	—
1012	C₄×C₇	—	4	1	no	—
1013	C₄×C₇	—	4	1	no	—
1014	C₄×C₇	—	4	1	no	—
1015	C₄×C₇	—	4	1	no	—
1016	C₄×C₇	—	4	1	no	—
1017	C₄×C₇	—	4	1	no	—
1018	C₄×C₇	—	4	1	no	—
1019	C₄×C₇	—	4	1	no	—
1020	C₄×C₇	—	4	1	no	—
1021	C₄×C₇	—	4	1	no	—
1022	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1023	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1024	C₂×Q₈	—	2	2	no	—
1025	C₂×Q₈	—	4	1	no	—
1026	C₂×Q₈	—	4	1	no	—
1027	C₂×D₄	—	2	2	no	—
1028	C₂×D₄	—	2	2	no	—
1029	C₂×D₄	—	2	2	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	2	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	C₇×#41	1	4	yes	—
1054	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1055	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1059	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1066	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1067	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1068	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1069	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1070	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1071	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1072	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1073	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1074	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1075	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1078	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1079	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1080	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1081	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1082	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	2	2	no	—
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	—	2	2	no	—
1102	C₄⋊C₄	—	2	2	no	—
1103	C₄⋊C₄	—	2	2	no	—
1104	C₄⋊C₄	—	2	2	no	—
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	—	2	2	no	—
1108	C₄⋊C₄	—	2	2	no	—
1109	C₄⋊C₄	—	2	2	no	—
1110	C₄⋊C₄	—	2	2	no	—
1111	C₄⋊C₄	—	2	2	no	—
1112	C₄⋊C₄	—	2	2	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	C₇×#41	1	4	yes	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	2	2	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	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	2	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	2	no	—
1143	C₂²⋊C₄	—	2	2	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	C₄²	—	2	2	no	—
1150	C₄²	—	2	2	no	—
1151	C₄²	—	2	2	no	—
1152	C₄²	—	2	2	no	—
1153	C₄²	—	2	2	no	—
1154	C₄²	—	2	2	no	—
1155	C₄²	—	4	1	no	—
1156	C₄²	—	4	1	no	—
1157	C₄²	—	4	1	no	—
1158	C₄²	—	4	1	no	—
1159	C₄²	—	4	1	no	—
1160	C₄²	—	4	1	no	—
1161	C₄²	—	4	1	no	—
1162	C₄²	—	4	1	no	—
1163	C₄²	—	4	1	no	—
1164	C₄²	—	4	1	no	—
1165	C₄²	—	4	1	no	—
1166	C₄²	—	4	1	no	—
1167	C₄²	C₇×#41	1	4	yes	—
1168	C₂×C₇	—	2	4	no	—
1169	C₂×C₇	—	8	1	no	—
1170	C₂×C₇	#3444	1	1	yes	characteristic
1171	C₂×C₇	C₂×#539	1	1	yes	characteristic
1172	C₂×C₇	#3461	1	1	yes	characteristic
1173	C₂×C₇	#3492	1	1	yes	characteristic
1174	C₂×C₇	#3495	1	1	yes	characteristic
1175	C₂×C₇	#3513	1	1	yes	characteristic
1176	C₂×C₇	#3523	1	1	yes	characteristic
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	C₂×C₇×#41	1	2	yes	—
1189	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
1190	C₂³	C₇×2₋¹⁺⁴	1	2	yes	—
1191	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1192	Q₈	—	8	2	no	—
1193	D₄	—	4	4	no	—
1194	C₂×C₄	—	2	8	no	—
1195	C₂×C₄	—	2	8	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	8	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	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	1	no	—
1268	C₂×C₄	—	2	1	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	—	4	4	no	—
1276	C₂×C₄	—	4	4	no	—
1277	C₂×C₄	—	4	4	no	—
1278	C₂×C₄	—	4	4	no	—
1279	C₂×C₄	—	8	2	no	—
1280	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1281	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1282	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1283	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1284	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1285	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1286	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1287	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1288	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1289	C₇	#35059	1	1	yes	characteristic, direct product factor, Sylow
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	—	4	1	no	—
1303	C₂²	C₇×#539	1	4	yes	—
1304	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1305	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1306	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1307	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1308	C₂²	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1309	C₂²	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1310	C₂²	C₇×#585	1	1	yes	characteristic
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₂	—	2	4	no	—
1341	C₂	—	8	1	no	—
1342	C₂	C₇×#3444	1	1	yes	characteristic
1343	C₂	C₂×C₇×#539	1	1	yes	characteristic
1344	C₂	C₇×#3461	1	1	yes	characteristic
1345	C₂	C₇×#3492	1	1	yes	characteristic
1346	C₂	C₇×#3495	1	1	yes	characteristic
1347	C₂	C₇×#3513	1	1	yes	characteristic
1348	C₂	C₇×#3523	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
prime radical	C₂²×C₇×D₄	C₂³
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×#2855	C₂	semidirect
4. C₇×#2851	C₂	semidirect
5. C₇×#2666	C₂	semidirect
6. C₇×#2664	C₂	semidirect
7. C₇×#2655	C₂	semidirect
8. C₇×#2654	C₂	semidirect
9. C₇×#2596	C₂	semidirect
10. C₇×#2594	C₂	semidirect
11. C₇×#2590	C₂	semidirect
12. C₇×#2588	C₂	semidirect
13. C₇×#2585	C₂	semidirect
14. C₇×#2585	C₂	semidirect
15. C₇×#2573	C₂	semidirect
16. C₇×#2556	C₂	semidirect
18. C₇×#2493	C₂	semidirect
19. C₇×#2484	C₂	semidirect
20. C₇×#2473	C₂	semidirect
22. C₇×#2438	C₂	semidirect
25. C₇×#2336	C₂	semidirect
26. C₇×#2336	C₂	semidirect
27. C₇×#2334	C₂	semidirect
28. C₇×#2332	C₂	semidirect
30. C₇×#2296	C₂	semidirect
31. C₂×C₄×C₇×C₄⋊C₄	C₂	semidirect
187. #35059	C₇	direct (N × H)
358. #2855	C₂×C₇	semidirect
361. #2851	C₂×C₇	semidirect
362. #2666	C₂×C₇	semidirect
363. #2664	C₂×C₇	semidirect
364. #2655	C₂×C₇	semidirect
365. #2654	C₂×C₇	semidirect
366. #2596	C₂×C₇	semidirect
367. #2594	C₂×C₇	semidirect
368. #2590	C₂×C₇	semidirect
369. #2588	C₂×C₇	semidirect
370. #2585	C₂×C₇	semidirect
371. #2585	C₂×C₇	semidirect
372. #2573	C₂×C₇	semidirect
373. #2556	C₂×C₇	semidirect
375. #2493	C₂×C₇	semidirect
376. #2484	C₂×C₇	semidirect
377. #2473	C₂×C₇	semidirect
379. #2438	C₂×C₇	semidirect
382. #2336	C₂×C₇	semidirect
383. #2336	C₂×C₇	semidirect
384. #2334	C₂×C₇	semidirect
385. #2332	C₂×C₇	semidirect
387. #2296	C₂×C₇	semidirect
388. C₂×C₄×C₄⋊C₄	C₂×C₇	semidirect
1289. C₇	#35059	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×#2855	2
C₇×#2853	2
C₇×#2852	2
C₇×#2851	2
C₇×#2666	2
C₇×#2664	2
C₇×#2655	2
C₇×#2654	2
C₇×#2596	2
C₇×#2594	2
C₇×#2590	2
C₇×#2588	2
C₇×#2585	2
C₇×#2573	2
C₇×#2556	2
C₇×#2498	2
C₇×#2493	2
C₇×#2484	2
C₇×#2473	2
C₇×#2449	2
C₇×#2438	2
C₇×#2419	2
C₇×#2413	2
C₇×#2336	2
C₇×#2334	2
C₇×#2332	2
C₄×C₇×#123	2
C₇×#2296	2
C₂×C₄×C₇×C₄⋊C₄	2
#35059	7

Subgroups — C7×#35059 #13212275

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#35059 #13212275