Subgroups — C₇×#34455 #13211671

Order 1792.

1866 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#541	C₂	1	1	yes	maximal, characteristic
2	C₇×#2383	C₂	1	1	yes	maximal, characteristic
3	C₇×#2382	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2382	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2378	C₂	1	1	yes	maximal, characteristic
6	C₇×#2373	C₂	1	1	yes	maximal, characteristic
7	C₇×#2373	C₂	1	1	yes	maximal, characteristic
8	C₇×#2373	C₂	1	1	yes	maximal, characteristic
9	C₇×#2371	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2371	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2370	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2370	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2368	C₂	1	1	yes	maximal, characteristic
14	C₇×#2356	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2355	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2346	C₂	1	1	yes	maximal, characteristic
17	C₇×#2343	C₂	1	1	yes	maximal, characteristic
18	C₇×#2336	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2336	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2334	C₂	1	1	yes	maximal, characteristic
21	C₇×#2334	C₂	1	1	yes	maximal, characteristic
22	C₇×#2334	C₂	1	1	yes	maximal, characteristic
23	C₇×#2332	C₂	1	1	yes	maximal, characteristic
24	C₇×#2331	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#2331	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#2330	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2329	C₂	1	1	yes	maximal, characteristic
28	C₇×#2320	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₇×#125	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₇×#126	C₂	1	1	yes	maximal, characteristic
31	C₇×#2295	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#541	C₄	1	16	yes	complemented
33	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₇×#126	C₂²	1	1	yes	characteristic
35	C₂×C₇×#126	C₂²	1	1	yes	characteristic
36	C₂×C₇×#126	C₂²	1	1	yes	characteristic
37	C₂×C₇×#126	C₂²	1	1	yes	characteristic
38	C₂×C₇×#125	C₂²	1	1	yes	characteristic
39	C₂×C₇×#125	C₂²	1	1	yes	characteristic
40	C₂×C₇×#125	C₂²	1	1	yes	characteristic
41	C₂×C₇×#125	C₂²	1	1	yes	characteristic
42	C₂×C₇×#125	C₂²	1	1	yes	characteristic
43	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₇×#117	C₂²	1	1	yes	characteristic
48	C₇×#391	C₂²	1	1	yes	characteristic
49	C₇×#391	C₂²	1	1	yes	characteristic
50	C₇×#391	C₂²	1	1	yes	characteristic
51	C₇×#391	C₂²	1	1	yes	characteristic
52	C₇×#391	C₂²	1	1	yes	characteristic
53	C₇×#391	C₂²	1	1	yes	characteristic
54	C₇×#391	C₂²	1	1	yes	characteristic
55	C₇×#391	C₂²	1	1	yes	characteristic
56	C₇×#389	C₂²	1	1	yes	characteristic
57	C₇×#389	C₂²	1	1	yes	characteristic
58	C₇×#389	C₂²	1	1	yes	characteristic
59	C₇×#389	C₂²	1	1	yes	characteristic
60	C₇×#389	C₂²	1	1	yes	characteristic
61	C₇×#389	C₂²	1	1	yes	characteristic
62	C₇×#389	C₂²	1	1	yes	characteristic
63	C₇×#389	C₂²	1	1	yes	characteristic
64	C₇×#389	C₂²	1	1	yes	characteristic
65	C₇×#389	C₂²	1	1	yes	characteristic
66	C₇×#389	C₂²	1	1	yes	characteristic
67	C₇×#389	C₂²	1	1	yes	characteristic
68	C₇×#389	C₂²	1	1	yes	characteristic
69	C₇×#389	C₂²	1	1	yes	characteristic
70	C₇×#389	C₂²	1	1	yes	characteristic
71	C₇×#389	C₂²	1	1	yes	characteristic
72	C₇×#389	C₂²	1	1	yes	characteristic
73	C₇×#389	C₂²	1	1	yes	characteristic
74	C₇×#388	C₂²	1	1	yes	characteristic
75	C₇×#388	C₂²	1	1	yes	characteristic
76	C₇×#388	C₂²	1	1	yes	characteristic
77	C₇×#388	C₂²	1	1	yes	characteristic
78	C₇×#388	C₂²	1	1	yes	characteristic
79	C₇×#388	C₂²	1	1	yes	characteristic
80	C₇×#388	C₂²	1	1	yes	characteristic
81	C₇×#388	C₂²	1	1	yes	characteristic
82	C₇×#388	C₂²	1	1	yes	characteristic
83	C₇×#388	C₂²	1	1	yes	characteristic
84	C₇×#388	C₂²	1	1	yes	characteristic
85	C₇×#388	C₂²	1	1	yes	characteristic
86	C₇×#387	C₂²	1	1	yes	characteristic
87	C₇×#387	C₂²	1	1	yes	characteristic
88	C₇×#387	C₂²	1	1	yes	characteristic
89	C₇×#387	C₂²	1	1	yes	characteristic
90	C₇×#387	C₂²	1	1	yes	characteristic
91	C₇×#387	C₂²	1	1	yes	characteristic
92	C₇×#387	C₂²	1	1	yes	characteristic
93	C₇×#387	C₂²	1	1	yes	characteristic
94	C₇×#387	C₂²	1	1	yes	characteristic
95	C₇×#387	C₂²	1	1	yes	characteristic
96	C₇×#387	C₂²	1	1	yes	characteristic
97	C₇×#387	C₂²	1	1	yes	characteristic
98	C₇×#387	C₂²	1	1	yes	characteristic
99	C₇×#387	C₂²	1	1	yes	characteristic
100	C₇×#387	C₂²	1	1	yes	characteristic
101	C₇×#387	C₂²	1	1	yes	characteristic
102	C₇×#387	C₂²	1	1	yes	characteristic
103	C₇×#387	C₂²	1	1	yes	characteristic
104	C₇×#387	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×#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×#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×#384	C₂²	1	1	yes	characteristic
137	C₇×#383	C₂²	1	1	yes	characteristic
138	C₇×#383	C₂²	1	1	yes	characteristic
139	C₇×#383	C₂²	1	1	yes	characteristic
140	C₇×#382	C₂²	1	1	yes	characteristic
141	C₇×#382	C₂²	1	1	yes	characteristic
142	C₇×#382	C₂²	1	1	yes	characteristic
143	C₇×#382	C₂²	1	1	yes	characteristic
144	C₇×#382	C₂²	1	1	yes	characteristic
145	C₇×#382	C₂²	1	1	yes	characteristic
146	C₇×#381	C₂²	1	1	yes	characteristic
147	C₇×#380	C₂²	1	1	yes	characteristic
148	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×C₇×C₄⋊C₄	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×C₄⋊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	C₇×#376	C₂²	1	1	yes	characteristic
181	C₇×#376	C₂²	1	1	yes	characteristic
182	C₇×#376	C₂²	1	1	yes	characteristic
183	C₇×#376	C₂²	1	1	yes	characteristic
184	C₇×#376	C₂²	1	1	yes	characteristic
185	C₇×#376	C₂²	1	1	yes	characteristic
186	C₂×C₇×#95	C₂²	1	1	yes	characteristic
187	C₄³×C₇	C₂²	1	1	yes	characteristic
188	#34455	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
189	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₇×Q₈	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	C₇×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
195	C₇×#126	C₂×C₄	1	8	yes	—
196	C₇×#126	C₂×C₄	1	8	yes	—
197	C₇×#126	C₂×C₄	1	8	yes	—
198	C₇×#126	C₂×C₄	1	8	yes	—
199	C₇×#125	C₂×C₄	1	8	yes	complemented
200	C₇×#125	C₂×C₄	1	8	yes	complemented
201	C₇×#125	C₂×C₄	1	8	yes	complemented
202	C₇×#125	C₂×C₄	1	8	yes	complemented
203	C₇×#125	C₂×C₄	1	8	yes	complemented
204	C₇×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
205	C₇×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
206	C₄×C₇×Q₈	C₂×C₄	1	8	yes	complemented
207	C₄×C₇×Q₈	C₂×C₄	1	8	yes	complemented
208	C₇×#117	C₂×C₄	1	8	yes	—
209	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
268	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
269	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
270	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
271	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
272	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
273	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
274	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
275	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
276	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
277	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
278	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
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	C₂×C₄²×C₇	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	C₇×#95	C₂³	1	1	yes	characteristic
359	C₂×#541	C₂×C₇	1	1	yes	characteristic
360	#2383	C₂×C₇	1	1	yes	characteristic
361	#2382	C₂×C₇	1	1	yes	characteristic, complemented
362	#2382	C₂×C₇	1	1	yes	characteristic, complemented
363	#2378	C₂×C₇	1	1	yes	characteristic
364	#2373	C₂×C₇	1	1	yes	characteristic
365	#2373	C₂×C₇	1	1	yes	characteristic
366	#2373	C₂×C₇	1	1	yes	characteristic
367	#2371	C₂×C₇	1	1	yes	characteristic, complemented
368	#2371	C₂×C₇	1	1	yes	characteristic, complemented
369	#2370	C₂×C₇	1	1	yes	characteristic, complemented
370	#2370	C₂×C₇	1	1	yes	characteristic, complemented
371	#2368	C₂×C₇	1	1	yes	characteristic
372	#2356	C₂×C₇	1	1	yes	characteristic, complemented
373	#2355	C₂×C₇	1	1	yes	characteristic, complemented
374	#2346	C₂×C₇	1	1	yes	characteristic
375	#2343	C₂×C₇	1	1	yes	characteristic
376	#2336	C₂×C₇	1	1	yes	characteristic, complemented
377	#2336	C₂×C₇	1	1	yes	characteristic, complemented
378	#2334	C₂×C₇	1	1	yes	characteristic
379	#2334	C₂×C₇	1	1	yes	characteristic
380	#2334	C₂×C₇	1	1	yes	characteristic
381	#2332	C₂×C₇	1	1	yes	characteristic
382	#2331	C₂×C₇	1	1	yes	characteristic, complemented
383	#2331	C₂×C₇	1	1	yes	characteristic, complemented
384	#2330	C₂×C₇	1	1	yes	characteristic, complemented
385	#2329	C₂×C₇	1	1	yes	characteristic
386	#2320	C₂×C₇	1	1	yes	characteristic, complemented
387	C₄×#125	C₂×C₇	1	1	yes	characteristic, complemented
388	C₄×#126	C₂×C₇	1	1	yes	characteristic
389	#2295	C₂×C₇	1	1	yes	characteristic, complemented
390	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
391	C₂×C₇×Q₈	—	4	1	no	—
392	C₂×C₇×Q₈	—	4	1	no	—
393	C₂×C₇×Q₈	—	4	1	no	—
394	C₂×C₇×Q₈	—	4	1	no	—
395	C₂×C₇×Q₈	C₂²×C₄	1	4	yes	—
396	C₂×C₇×Q₈	C₂²×C₄	1	4	yes	—
397	C₂²×C₄×C₇	—	2	2	no	—
398	C₂²×C₄×C₇	—	4	1	no	—
399	C₂²×C₄×C₇	—	4	1	no	—
400	C₂²×C₄×C₇	—	4	1	no	—
401	C₂²×C₄×C₇	—	4	1	no	—
402	C₂²×C₄×C₇	—	4	1	no	—
403	C₂²×C₄×C₇	—	4	1	no	—
404	C₂²×C₄×C₇	—	4	1	no	—
405	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	—	2	2	no	—
437	C₇×C₄⋊C₄	—	2	2	no	—
438	C₇×C₄⋊C₄	—	2	2	no	—
439	C₇×C₄⋊C₄	—	4	1	no	—
440	C₇×C₄⋊C₄	—	4	1	no	—
441	C₇×C₄⋊C₄	—	4	1	no	—
442	C₇×C₄⋊C₄	—	4	1	no	—
443	C₇×C₄⋊C₄	—	4	1	no	—
444	C₇×C₄⋊C₄	—	4	1	no	—
445	C₇×C₄⋊C₄	—	4	1	no	—
446	C₇×C₄⋊C₄	—	4	1	no	—
447	C₇×C₄⋊C₄	—	4	1	no	—
448	C₇×C₄⋊C₄	—	4	1	no	—
449	C₇×C₄⋊C₄	—	4	1	no	—
450	C₇×C₄⋊C₄	—	4	1	no	—
451	C₇×C₄⋊C₄	—	4	1	no	—
452	C₇×C₄⋊C₄	—	4	1	no	—
453	C₇×C₄⋊C₄	—	4	1	no	—
454	C₇×C₄⋊C₄	—	4	1	no	—
455	C₇×C₄⋊C₄	—	4	1	no	—
456	C₇×C₄⋊C₄	—	4	1	no	—
457	C₇×C₄⋊C₄	—	4	1	no	—
458	C₇×C₄⋊C₄	—	4	1	no	—
459	C₇×C₄⋊C₄	—	4	1	no	—
460	C₇×C₄⋊C₄	—	4	1	no	—
461	C₇×C₄⋊C₄	—	4	1	no	—
462	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
463	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
464	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
465	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
466	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
467	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
468	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
469	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
470	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
471	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
472	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
473	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
474	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
475	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
476	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
477	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
478	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
479	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
480	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
481	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
482	C₇×C₂²⋊C₄	—	2	2	no	—
483	C₇×C₂²⋊C₄	—	4	1	no	—
484	C₇×C₂²⋊C₄	—	4	1	no	—
485	C₇×C₂²⋊C₄	—	4	1	no	—
486	C₇×C₂²⋊C₄	—	4	1	no	—
487	C₇×C₂²⋊C₄	—	4	1	no	—
488	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
489	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
490	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
491	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
492	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
493	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
494	C₄²×C₇	—	2	2	no	—
495	C₄²×C₇	—	2	2	no	—
496	C₄²×C₇	—	2	2	no	—
497	C₄²×C₇	—	2	2	no	—
498	C₄²×C₇	—	2	2	no	—
499	C₄²×C₇	—	4	1	no	—
500	C₄²×C₇	—	4	1	no	—
501	C₄²×C₇	—	4	1	no	—
502	C₄²×C₇	—	4	1	no	—
503	C₄²×C₇	—	4	1	no	—
504	C₄²×C₇	—	4	1	no	—
505	C₄²×C₇	—	4	1	no	—
506	C₄²×C₇	—	4	1	no	—
507	C₄²×C₇	—	4	1	no	—
508	C₄²×C₇	—	4	1	no	—
509	C₄²×C₇	—	4	1	no	—
510	C₄²×C₇	—	4	1	no	—
511	C₄²×C₇	—	4	1	no	—
512	C₄²×C₇	—	4	1	no	—
513	C₄²×C₇	—	4	1	no	—
514	C₄²×C₇	—	4	1	no	—
515	C₄²×C₇	—	4	1	no	—
516	C₄²×C₇	—	4	1	no	—
517	C₄²×C₇	—	4	1	no	—
518	C₄²×C₇	—	4	1	no	—
519	C₄²×C₇	—	4	1	no	—
520	C₄²×C₇	C₂²×C₄	1	4	yes	—
521	C₄²×C₇	C₂²×C₄	1	4	yes	—
522	C₄²×C₇	C₂²×C₄	1	4	yes	—
523	C₄²×C₇	C₂²×C₄	1	4	yes	—
524	C₄²×C₇	C₂²×C₄	1	4	yes	—
525	C₄²×C₇	C₂²×C₄	1	4	yes	—
526	#541	C₄×C₇	1	16	yes	complemented
527	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
528	C₂×#126	C₂²×C₇	1	1	yes	characteristic
529	C₂×#126	C₂²×C₇	1	1	yes	characteristic
530	C₂×#126	C₂²×C₇	1	1	yes	characteristic
531	C₂×#126	C₂²×C₇	1	1	yes	characteristic
532	C₂×#125	C₂²×C₇	1	1	yes	characteristic
533	C₂×#125	C₂²×C₇	1	1	yes	characteristic
534	C₂×#125	C₂²×C₇	1	1	yes	characteristic
535	C₂×#125	C₂²×C₇	1	1	yes	characteristic
536	C₂×#125	C₂²×C₇	1	1	yes	characteristic
537	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
538	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
539	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
540	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
541	C₂×#117	C₂²×C₇	1	1	yes	characteristic
542	#391	C₂²×C₇	1	1	yes	characteristic
543	#391	C₂²×C₇	1	1	yes	characteristic
544	#391	C₂²×C₇	1	1	yes	characteristic
545	#391	C₂²×C₇	1	1	yes	characteristic
546	#391	C₂²×C₇	1	1	yes	characteristic
547	#391	C₂²×C₇	1	1	yes	characteristic
548	#391	C₂²×C₇	1	1	yes	characteristic
549	#391	C₂²×C₇	1	1	yes	characteristic
550	#389	C₂²×C₇	1	1	yes	characteristic
551	#389	C₂²×C₇	1	1	yes	characteristic
552	#389	C₂²×C₇	1	1	yes	characteristic
553	#389	C₂²×C₇	1	1	yes	characteristic
554	#389	C₂²×C₇	1	1	yes	characteristic
555	#389	C₂²×C₇	1	1	yes	characteristic
556	#389	C₂²×C₇	1	1	yes	characteristic
557	#389	C₂²×C₇	1	1	yes	characteristic
558	#389	C₂²×C₇	1	1	yes	characteristic
559	#389	C₂²×C₇	1	1	yes	characteristic
560	#389	C₂²×C₇	1	1	yes	characteristic
561	#389	C₂²×C₇	1	1	yes	characteristic
562	#389	C₂²×C₇	1	1	yes	characteristic
563	#389	C₂²×C₇	1	1	yes	characteristic
564	#389	C₂²×C₇	1	1	yes	characteristic
565	#389	C₂²×C₇	1	1	yes	characteristic
566	#389	C₂²×C₇	1	1	yes	characteristic
567	#389	C₂²×C₇	1	1	yes	characteristic
568	#388	C₂²×C₇	1	1	yes	characteristic
569	#388	C₂²×C₇	1	1	yes	characteristic
570	#388	C₂²×C₇	1	1	yes	characteristic
571	#388	C₂²×C₇	1	1	yes	characteristic
572	#388	C₂²×C₇	1	1	yes	characteristic
573	#388	C₂²×C₇	1	1	yes	characteristic
574	#388	C₂²×C₇	1	1	yes	characteristic
575	#388	C₂²×C₇	1	1	yes	characteristic
576	#388	C₂²×C₇	1	1	yes	characteristic
577	#388	C₂²×C₇	1	1	yes	characteristic
578	#388	C₂²×C₇	1	1	yes	characteristic
579	#388	C₂²×C₇	1	1	yes	characteristic
580	#387	C₂²×C₇	1	1	yes	characteristic
581	#387	C₂²×C₇	1	1	yes	characteristic
582	#387	C₂²×C₇	1	1	yes	characteristic
583	#387	C₂²×C₇	1	1	yes	characteristic
584	#387	C₂²×C₇	1	1	yes	characteristic
585	#387	C₂²×C₇	1	1	yes	characteristic
586	#387	C₂²×C₇	1	1	yes	characteristic
587	#387	C₂²×C₇	1	1	yes	characteristic
588	#387	C₂²×C₇	1	1	yes	characteristic
589	#387	C₂²×C₇	1	1	yes	characteristic
590	#387	C₂²×C₇	1	1	yes	characteristic
591	#387	C₂²×C₇	1	1	yes	characteristic
592	#387	C₂²×C₇	1	1	yes	characteristic
593	#387	C₂²×C₇	1	1	yes	characteristic
594	#387	C₂²×C₇	1	1	yes	characteristic
595	#387	C₂²×C₇	1	1	yes	characteristic
596	#387	C₂²×C₇	1	1	yes	characteristic
597	#387	C₂²×C₇	1	1	yes	characteristic
598	#387	C₂²×C₇	1	1	yes	characteristic
599	#387	C₂²×C₇	1	1	yes	characteristic
600	#387	C₂²×C₇	1	1	yes	characteristic
601	#387	C₂²×C₇	1	1	yes	characteristic
602	#387	C₂²×C₇	1	1	yes	characteristic
603	#387	C₂²×C₇	1	1	yes	characteristic
604	#387	C₂²×C₇	1	1	yes	characteristic
605	#387	C₂²×C₇	1	1	yes	characteristic
606	#387	C₂²×C₇	1	1	yes	characteristic
607	#387	C₂²×C₇	1	1	yes	characteristic
608	#387	C₂²×C₇	1	1	yes	characteristic
609	#387	C₂²×C₇	1	1	yes	characteristic
610	#387	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	#385	C₂²×C₇	1	1	yes	characteristic
625	#385	C₂²×C₇	1	1	yes	characteristic
626	#385	C₂²×C₇	1	1	yes	characteristic
627	#385	C₂²×C₇	1	1	yes	characteristic
628	#385	C₂²×C₇	1	1	yes	characteristic
629	#385	C₂²×C₇	1	1	yes	characteristic
630	#384	C₂²×C₇	1	1	yes	characteristic
631	#383	C₂²×C₇	1	1	yes	characteristic
632	#383	C₂²×C₇	1	1	yes	characteristic
633	#383	C₂²×C₇	1	1	yes	characteristic
634	#382	C₂²×C₇	1	1	yes	characteristic
635	#382	C₂²×C₇	1	1	yes	characteristic
636	#382	C₂²×C₇	1	1	yes	characteristic
637	#382	C₂²×C₇	1	1	yes	characteristic
638	#382	C₂²×C₇	1	1	yes	characteristic
639	#382	C₂²×C₇	1	1	yes	characteristic
640	#381	C₂²×C₇	1	1	yes	characteristic
641	#380	C₂²×C₇	1	1	yes	characteristic
642	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
643	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
644	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
645	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
646	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
647	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
648	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
649	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
650	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
651	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
652	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
653	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
654	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
655	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
656	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
657	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
658	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
659	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
660	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
661	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
662	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
663	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
664	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
665	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
666	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
667	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
668	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
669	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
670	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
671	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
672	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
673	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
674	#376	C₂²×C₇	1	1	yes	characteristic
675	#376	C₂²×C₇	1	1	yes	characteristic
676	#376	C₂²×C₇	1	1	yes	characteristic
677	#376	C₂²×C₇	1	1	yes	characteristic
678	#376	C₂²×C₇	1	1	yes	characteristic
679	#376	C₂²×C₇	1	1	yes	characteristic
680	C₂×#95	C₂²×C₇	1	1	yes	characteristic
681	C₄³	C₂²×C₇	1	1	yes	characteristic
682	C₂³×C₇	—	2	1	no	—
683	C₂³×C₇	—	2	1	no	—
684	C₂³×C₇	—	2	1	no	—
685	C₂³×C₇	—	2	1	no	—
686	C₂³×C₇	—	2	1	no	—
687	C₂³×C₇	—	2	1	no	—
688	C₂³×C₇	C₂³×C₄	1	2	yes	—
689	C₂³×C₇	C₂⁵	1	1	yes	characteristic
690	C₇×Q₈	—	4	4	no	—
691	C₇×Q₈	—	4	4	no	—
692	C₂×C₄×C₇	—	2	1	no	—
693	C₂×C₄×C₇	—	2	1	no	—
694	C₂×C₄×C₇	—	2	1	no	—
695	C₂×C₄×C₇	—	2	1	no	—
696	C₂×C₄×C₇	—	2	1	no	—
697	C₂×C₄×C₇	—	2	1	no	—
698	C₂×C₄×C₇	—	2	1	no	—
699	C₂×C₄×C₇	—	2	1	no	—
700	C₂×C₄×C₇	—	2	1	no	—
701	C₂×C₄×C₇	—	2	1	no	—
702	C₂×C₄×C₇	—	2	1	no	—
703	C₂×C₄×C₇	—	2	1	no	—
704	C₂×C₄×C₇	—	2	1	no	—
705	C₂×C₄×C₇	—	2	1	no	—
706	C₂×C₄×C₇	—	2	1	no	—
707	C₂×C₄×C₇	—	2	1	no	—
708	C₂×C₄×C₇	—	2	1	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	2	1	no	—
716	C₂×C₄×C₇	—	2	1	no	—
717	C₂×C₄×C₇	—	2	1	no	—
718	C₂×C₄×C₇	—	2	1	no	—
719	C₂×C₄×C₇	—	2	1	no	—
720	C₂×C₄×C₇	—	2	1	no	—
721	C₂×C₄×C₇	—	2	1	no	—
722	C₂×C₄×C₇	—	2	1	no	—
723	C₂×C₄×C₇	—	2	1	no	—
724	C₂×C₄×C₇	—	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	—	4	4	no	—
767	C₂×C₄×C₇	—	8	2	no	—
768	C₂×C₄×C₇	—	8	2	no	—
769	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
770	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
771	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
772	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
773	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
774	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
775	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
776	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
777	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
778	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
779	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
780	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
781	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
782	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
783	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
784	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
785	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
786	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
787	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
788	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
789	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
790	C₄⋊Q₈	C₂×C₄×C₇	1	8	yes	complemented
791	#126	C₂×C₄×C₇	1	8	yes	—
792	#126	C₂×C₄×C₇	1	8	yes	—
793	#126	C₂×C₄×C₇	1	8	yes	—
794	#126	C₂×C₄×C₇	1	8	yes	—
795	#125	C₂×C₄×C₇	1	8	yes	complemented
796	#125	C₂×C₄×C₇	1	8	yes	complemented
797	#125	C₂×C₄×C₇	1	8	yes	complemented
798	#125	C₂×C₄×C₇	1	8	yes	complemented
799	#125	C₂×C₄×C₇	1	8	yes	complemented
800	C₂²⋊Q₈	C₂×C₄×C₇	1	8	yes	—
801	C₂²⋊Q₈	C₂×C₄×C₇	1	8	yes	—
802	C₄×Q₈	C₂×C₄×C₇	1	8	yes	complemented
803	C₄×Q₈	C₂×C₄×C₇	1	8	yes	complemented
804	#117	C₂×C₄×C₇	1	8	yes	—
805	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
808	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
815	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
852	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
854	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
856	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
863	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
864	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
865	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
866	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
867	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
868	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
869	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
870	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
871	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
872	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
873	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
874	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
875	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
876	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
877	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
878	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
879	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
880	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
881	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
882	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
883	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
884	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
885	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
886	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
887	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
888	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
889	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
890	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
891	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
892	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
893	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
894	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
895	#95	C₂³×C₇	1	1	yes	characteristic
896	#95	C₂³×C₇	1	1	yes	characteristic
897	#95	C₂³×C₇	1	1	yes	characteristic
898	#95	C₂³×C₇	1	1	yes	characteristic
899	#95	C₂³×C₇	1	1	yes	characteristic
900	#95	C₂³×C₇	1	1	yes	characteristic
901	#95	C₂³×C₇	1	1	yes	characteristic
902	#95	C₂³×C₇	1	1	yes	characteristic
903	#95	C₂³×C₇	1	1	yes	characteristic
904	#95	C₂³×C₇	1	1	yes	characteristic
905	#95	C₂³×C₇	1	1	yes	characteristic
906	#95	C₂³×C₇	1	1	yes	characteristic
907	#95	C₂³×C₇	1	1	yes	characteristic
908	#95	C₂³×C₇	1	1	yes	characteristic
909	#95	C₂³×C₇	1	1	yes	characteristic
910	#95	C₂³×C₇	1	1	yes	characteristic
911	#95	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	C₂²×C₇	—	2	2	no	—
956	C₂²×C₇	—	2	2	no	—
957	C₂²×C₇	—	2	2	no	—
958	C₂²×C₇	—	4	1	no	—
959	C₂²×C₇	—	4	1	no	—
960	C₂²×C₇	—	4	1	no	—
961	C₂²×C₇	—	4	1	no	—
962	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
963	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
964	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
965	C₂²×C₇	#585	1	1	yes	characteristic
966	C₂²×C₇	#585	1	1	yes	characteristic
967	C₂²×C₇	#585	1	1	yes	characteristic
968	C₂²×C₇	#585	1	1	yes	characteristic
969	C₄×C₇	—	2	2	no	—
970	C₄×C₇	—	2	2	no	—
971	C₄×C₇	—	2	2	no	—
972	C₄×C₇	—	2	2	no	—
973	C₄×C₇	—	2	2	no	—
974	C₄×C₇	—	2	2	no	—
975	C₄×C₇	—	2	2	no	—
976	C₄×C₇	—	2	2	no	—
977	C₄×C₇	—	2	2	no	—
978	C₄×C₇	—	2	2	no	—
979	C₄×C₇	—	2	2	no	—
980	C₄×C₇	—	2	2	no	—
981	C₄×C₇	—	2	2	no	—
982	C₄×C₇	—	2	2	no	—
983	C₄×C₇	—	2	2	no	—
984	C₄×C₇	—	2	2	no	—
985	C₄×C₇	—	4	1	no	—
986	C₄×C₇	—	4	1	no	—
987	C₄×C₇	—	4	1	no	—
988	C₄×C₇	—	4	1	no	—
989	C₄×C₇	—	4	1	no	—
990	C₄×C₇	—	4	1	no	—
991	C₄×C₇	—	4	1	no	—
992	C₄×C₇	—	4	1	no	—
993	C₄×C₇	—	4	1	no	—
994	C₄×C₇	—	4	1	no	—
995	C₄×C₇	—	4	1	no	—
996	C₄×C₇	—	4	1	no	—
997	C₄×C₇	—	4	1	no	—
998	C₄×C₇	—	4	1	no	—
999	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1000	C₂×Q₈	—	4	1	no	—
1001	C₂×Q₈	—	4	1	no	—
1002	C₂×Q₈	—	4	1	no	—
1003	C₂×Q₈	—	4	1	no	—
1004	C₂×Q₈	C₂²×C₄×C₇	1	4	yes	—
1005	C₂×Q₈	C₂²×C₄×C₇	1	4	yes	—
1006	C₂²×C₄	—	2	2	no	—
1007	C₂²×C₄	—	4	1	no	—
1008	C₂²×C₄	—	4	1	no	—
1009	C₂²×C₄	—	4	1	no	—
1010	C₂²×C₄	—	4	1	no	—
1011	C₂²×C₄	—	4	1	no	—
1012	C₂²×C₄	—	4	1	no	—
1013	C₂²×C₄	—	4	1	no	—
1014	C₂²×C₄	C₂²×C₄×C₇	1	4	yes	—
1015	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1016	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1017	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1018	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1019	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1020	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1021	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1022	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1023	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1024	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1025	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1026	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1027	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1028	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1029	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1030	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1031	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1032	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1033	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1034	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1035	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1036	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1037	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1038	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1040	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1041	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1042	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1043	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1044	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	4	1	no	—
1049	C₄⋊C₄	—	4	1	no	—
1050	C₄⋊C₄	—	4	1	no	—
1051	C₄⋊C₄	—	4	1	no	—
1052	C₄⋊C₄	—	4	1	no	—
1053	C₄⋊C₄	—	4	1	no	—
1054	C₄⋊C₄	—	4	1	no	—
1055	C₄⋊C₄	—	4	1	no	—
1056	C₄⋊C₄	—	4	1	no	—
1057	C₄⋊C₄	—	4	1	no	—
1058	C₄⋊C₄	—	4	1	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	4	1	no	—
1065	C₄⋊C₄	—	4	1	no	—
1066	C₄⋊C₄	—	4	1	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1072	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1073	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1074	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1075	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1076	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1077	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1078	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1079	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1080	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1081	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1082	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1083	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1084	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1085	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1086	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1087	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1088	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1089	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1090	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1091	C₂²⋊C₄	—	2	2	no	—
1092	C₂²⋊C₄	—	4	1	no	—
1093	C₂²⋊C₄	—	4	1	no	—
1094	C₂²⋊C₄	—	4	1	no	—
1095	C₂²⋊C₄	—	4	1	no	—
1096	C₂²⋊C₄	—	4	1	no	—
1097	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1098	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1099	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1100	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1101	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1102	C₂²⋊C₄	C₂²×C₄×C₇	1	4	yes	—
1103	C₄²	—	2	2	no	—
1104	C₄²	—	2	2	no	—
1105	C₄²	—	2	2	no	—
1106	C₄²	—	2	2	no	—
1107	C₄²	—	2	2	no	—
1108	C₄²	—	4	1	no	—
1109	C₄²	—	4	1	no	—
1110	C₄²	—	4	1	no	—
1111	C₄²	—	4	1	no	—
1112	C₄²	—	4	1	no	—
1113	C₄²	—	4	1	no	—
1114	C₄²	—	4	1	no	—
1115	C₄²	—	4	1	no	—
1116	C₄²	—	4	1	no	—
1117	C₄²	—	4	1	no	—
1118	C₄²	—	4	1	no	—
1119	C₄²	—	4	1	no	—
1120	C₄²	—	4	1	no	—
1121	C₄²	—	4	1	no	—
1122	C₄²	—	4	1	no	—
1123	C₄²	—	4	1	no	—
1124	C₄²	—	4	1	no	—
1125	C₄²	—	4	1	no	—
1126	C₄²	—	4	1	no	—
1127	C₄²	—	4	1	no	—
1128	C₄²	—	4	1	no	—
1129	C₄²	C₂²×C₄×C₇	1	4	yes	—
1130	C₄²	C₂²×C₄×C₇	1	4	yes	—
1131	C₄²	C₂²×C₄×C₇	1	4	yes	—
1132	C₄²	C₂²×C₄×C₇	1	4	yes	—
1133	C₄²	C₂²×C₄×C₇	1	4	yes	—
1134	C₄²	C₂²×C₄×C₇	1	4	yes	—
1135	C₂×C₇	—	4	2	no	—
1136	C₂×C₇	#3428	1	1	yes	characteristic
1137	C₂×C₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1138	C₂×C₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1139	C₂×C₇	#3563	1	1	yes	characteristic
1140	C₂×C₇	#3564	1	1	yes	characteristic
1141	C₂×C₇	#3565	1	1	yes	characteristic
1142	C₂×C₇	#3566	1	1	yes	characteristic
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	C₂³×C₄×C₇	1	2	yes	—
1150	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1151	Q₈	—	4	4	no	—
1152	Q₈	—	4	4	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	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	1	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	—	4	4	no	—
1228	C₂×C₄	—	8	2	no	—
1229	C₂×C₄	—	8	2	no	—
1230	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1231	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1232	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1233	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1234	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1235	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1236	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1237	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1238	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1239	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1240	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1241	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1242	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1243	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1244	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1245	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1246	C₇	#34455	1	1	yes	characteristic, direct product factor, Sylow
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	2	2	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	C₂⁴×C₄×C₇	1	1	yes	characteristic
1255	C₂²	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1256	C₂²	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1257	C₂²	C₇×#585	1	1	yes	characteristic
1258	C₂²	C₇×#585	1	1	yes	characteristic
1259	C₂²	C₇×#585	1	1	yes	characteristic
1260	C₂²	C₇×#585	1	1	yes	characteristic
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	2	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	2	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	2	2	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₂	—	4	2	no	—
1292	C₂	C₇×#3428	1	1	yes	characteristic
1293	C₂	C₄×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1294	C₂	C₄×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1295	C₂	C₇×#3563	1	1	yes	characteristic
1296	C₂	C₇×#3564	1	1	yes	characteristic
1297	C₂	C₇×#3565	1	1	yes	characteristic
1298	C₂	C₇×#3566	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
3. C₇×#2382	C₂	semidirect
4. C₇×#2382	C₂	semidirect
9. C₇×#2371	C₂	semidirect
10. C₇×#2371	C₂	semidirect
11. C₇×#2370	C₂	semidirect
12. C₇×#2370	C₂	semidirect
14. C₇×#2356	C₂	semidirect
15. C₇×#2355	C₂	semidirect
18. C₇×#2336	C₂	semidirect
19. C₇×#2336	C₂	semidirect
24. C₇×#2331	C₂	semidirect
25. C₇×#2331	C₂	semidirect
26. C₇×#2330	C₂	semidirect
28. C₇×#2320	C₂	semidirect
29. C₄×C₇×#125	C₂	semidirect
31. C₇×#2295	C₂	semidirect
32. C₇×#541	C₄	semidirect
188. #34455	C₇	direct (N × H)
194. C₇×C₄⋊Q₈	C₂×C₄	semidirect
199. C₇×#125	C₂×C₄	semidirect
200. C₇×#125	C₂×C₄	semidirect
201. C₇×#125	C₂×C₄	semidirect
202. C₇×#125	C₂×C₄	semidirect
203. C₇×#125	C₂×C₄	semidirect
206. C₄×C₇×Q₈	C₂×C₄	semidirect
207. C₄×C₇×Q₈	C₂×C₄	semidirect
361. #2382	C₂×C₇	semidirect
362. #2382	C₂×C₇	semidirect
367. #2371	C₂×C₇	semidirect
368. #2371	C₂×C₇	semidirect
369. #2370	C₂×C₇	semidirect
370. #2370	C₂×C₇	semidirect
372. #2356	C₂×C₇	semidirect
373. #2355	C₂×C₇	semidirect
376. #2336	C₂×C₇	semidirect
377. #2336	C₂×C₇	semidirect
382. #2331	C₂×C₇	semidirect
383. #2331	C₂×C₇	semidirect
384. #2330	C₂×C₇	semidirect
386. #2320	C₂×C₇	semidirect
387. C₄×#125	C₂×C₇	semidirect
389. #2295	C₂×C₇	semidirect
526. #541	C₄×C₇	semidirect
790. C₄⋊Q₈	C₂×C₄×C₇	semidirect
795. #125	C₂×C₄×C₇	semidirect
796. #125	C₂×C₄×C₇	semidirect
797. #125	C₂×C₄×C₇	semidirect
798. #125	C₂×C₄×C₇	semidirect
799. #125	C₂×C₄×C₇	semidirect
802. C₄×Q₈	C₂×C₄×C₇	semidirect
803. C₄×Q₈	C₂×C₄×C₇	semidirect
1246. C₇	#34455	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₇×#541	2
C₇×#2383	2
C₇×#2382	2
C₇×#2378	2
C₇×#2373	2
C₇×#2371	2
C₇×#2370	2
C₇×#2368	2
C₇×#2356	2
C₇×#2355	2
C₇×#2346	2
C₇×#2343	2
C₇×#2336	2
C₇×#2334	2
C₇×#2332	2
C₇×#2331	2
C₇×#2330	2
C₇×#2329	2
C₇×#2320	2
C₄×C₇×#125	2
C₄×C₇×#126	2
C₇×#2295	2
#34455	7

Subgroups — C7×#34455 #13211671

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#34455 #13211671