Subgroups — C₇×#36755 #13213971

Order 1792.

1512 conjugacy classes of subgroups.

The subgroup lattice has 1338 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×#2851	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2805	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2804	C₂	1	1	yes	maximal, characteristic
5	C₇×#2790	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2788	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2788	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2784	C₂	1	1	yes	maximal, characteristic
9	C₇×#2780	C₂	1	1	yes	maximal, characteristic
10	C₇×#2774	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2763	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2763	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2755	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2742	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2729	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2720	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2713	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#2692	C₂	1	1	yes	maximal, characteristic
19	C₇×#2665	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2665	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2612	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2607	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2605	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#2605	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#2570	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#2569	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2439	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2438	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#2319	C₂	1	1	yes	maximal, characteristic
30	C₇×#2318	C₂	1	1	yes	maximal, characteristic
31	C₇×#2290	C₂	1	1	yes	maximal, characteristic
32	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₇×#125	C₂²	1	1	yes	characteristic
34	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
37	C₂×C₇×#117	C₂²	1	1	yes	characteristic
38	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
39	C₇×#400	C₂²	1	1	yes	characteristic
40	C₇×#400	C₂²	1	1	yes	characteristic
41	C₇×#400	C₂²	1	1	yes	characteristic
42	C₇×#400	C₂²	1	1	yes	characteristic
43	C₇×#400	C₂²	1	1	yes	characteristic
44	C₇×#400	C₂²	1	1	yes	characteristic
45	C₇×#400	C₂²	1	1	yes	characteristic
46	C₇×#400	C₂²	1	1	yes	characteristic
47	C₇×#400	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×#399	C₂²	1	1	yes	characteristic
54	C₇×#399	C₂²	1	1	yes	characteristic
55	C₇×#398	C₂²	1	1	yes	characteristic
56	C₇×#398	C₂²	1	1	yes	characteristic
57	C₇×#398	C₂²	1	1	yes	characteristic
58	C₇×#398	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×#396	C₂²	1	1	yes	characteristic
64	C₇×#396	C₂²	1	1	yes	characteristic
65	C₇×#396	C₂²	1	1	yes	characteristic
66	C₇×#396	C₂²	1	1	yes	characteristic
67	C₇×#396	C₂²	1	1	yes	characteristic
68	C₇×#396	C₂²	1	1	yes	characteristic
69	C₇×#395	C₂²	1	1	yes	characteristic
70	C₇×#395	C₂²	1	1	yes	characteristic
71	C₇×#395	C₂²	1	1	yes	characteristic
72	C₇×#395	C₂²	1	1	yes	characteristic
73	C₇×#395	C₂²	1	1	yes	characteristic
74	C₇×#395	C₂²	1	1	yes	characteristic
75	C₇×#395	C₂²	1	1	yes	characteristic
76	C₇×#395	C₂²	1	1	yes	characteristic
77	C₇×#395	C₂²	1	1	yes	characteristic
78	C₇×#395	C₂²	1	1	yes	characteristic
79	C₇×#393	C₂²	1	1	yes	characteristic
80	C₇×#393	C₂²	1	1	yes	characteristic
81	C₇×#393	C₂²	1	1	yes	characteristic
82	C₇×#393	C₂²	1	1	yes	characteristic
83	C₇×#393	C₂²	1	1	yes	characteristic
84	C₇×#393	C₂²	1	1	yes	characteristic
85	C₇×#393	C₂²	1	1	yes	characteristic
86	C₇×#393	C₂²	1	1	yes	characteristic
87	C₇×#391	C₂²	1	1	yes	characteristic
88	C₇×#391	C₂²	1	1	yes	characteristic
89	C₇×#391	C₂²	1	1	yes	characteristic
90	C₇×#391	C₂²	1	1	yes	characteristic
91	C₇×#391	C₂²	1	1	yes	characteristic
92	C₇×#391	C₂²	1	1	yes	characteristic
93	C₇×#391	C₂²	1	1	yes	characteristic
94	C₇×#391	C₂²	1	1	yes	characteristic
95	C₇×#391	C₂²	1	1	yes	characteristic
96	C₇×#391	C₂²	1	1	yes	characteristic
97	C₇×#391	C₂²	1	1	yes	characteristic
98	C₇×#391	C₂²	1	1	yes	characteristic
99	C₇×#391	C₂²	1	1	yes	characteristic
100	C₇×#390	C₂²	1	1	yes	characteristic
101	C₇×#390	C₂²	1	1	yes	characteristic
102	C₇×#389	C₂²	1	1	yes	characteristic
103	C₇×#389	C₂²	1	1	yes	characteristic
104	C₇×#389	C₂²	1	1	yes	characteristic
105	C₇×#389	C₂²	1	1	yes	characteristic
106	C₇×#389	C₂²	1	1	yes	characteristic
107	C₇×#389	C₂²	1	1	yes	characteristic
108	C₇×#389	C₂²	1	1	yes	characteristic
109	C₇×#389	C₂²	1	1	yes	characteristic
110	C₇×#389	C₂²	1	1	yes	characteristic
111	C₇×#389	C₂²	1	1	yes	characteristic
112	C₇×#389	C₂²	1	1	yes	characteristic
113	C₇×#388	C₂²	1	1	yes	characteristic
114	C₇×#388	C₂²	1	1	yes	characteristic
115	C₇×#388	C₂²	1	1	yes	characteristic
116	C₇×#388	C₂²	1	1	yes	characteristic
117	C₇×#388	C₂²	1	1	yes	characteristic
118	C₇×#388	C₂²	1	1	yes	characteristic
119	C₇×#388	C₂²	1	1	yes	characteristic
120	C₇×#388	C₂²	1	1	yes	characteristic
121	C₇×#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×#387	C₂²	1	1	yes	characteristic
142	C₇×#387	C₂²	1	1	yes	characteristic
143	C₇×#387	C₂²	1	1	yes	characteristic
144	C₇×#387	C₂²	1	1	yes	characteristic
145	C₇×#386	C₂²	1	1	yes	characteristic
146	C₇×#386	C₂²	1	1	yes	characteristic
147	C₇×#386	C₂²	1	1	yes	characteristic
148	C₇×#386	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×#385	C₂²	1	1	yes	characteristic
158	C₇×#385	C₂²	1	1	yes	characteristic
159	C₇×#385	C₂²	1	1	yes	characteristic
160	C₇×#385	C₂²	1	1	yes	characteristic
161	C₇×#385	C₂²	1	1	yes	characteristic
162	C₇×#385	C₂²	1	1	yes	characteristic
163	C₇×#384	C₂²	1	1	yes	characteristic
164	C₇×#383	C₂²	1	1	yes	characteristic
165	C₇×#382	C₂²	1	1	yes	characteristic
166	C₇×#382	C₂²	1	1	yes	characteristic
167	C₇×#382	C₂²	1	1	yes	characteristic
168	C₇×#382	C₂²	1	1	yes	characteristic
169	C₇×#381	C₂²	1	1	yes	characteristic
170	C₇×#381	C₂²	1	1	yes	characteristic
171	C₇×#381	C₂²	1	1	yes	characteristic
172	C₇×#380	C₂²	1	1	yes	characteristic
173	C₇×#380	C₂²	1	1	yes	characteristic
174	C₇×#380	C₂²	1	1	yes	characteristic
175	C₇×#380	C₂²	1	1	yes	characteristic
176	C₇×#380	C₂²	1	1	yes	characteristic
177	C₇×#380	C₂²	1	1	yes	characteristic
178	C₇×#380	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×C₂²⋊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	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	#36755	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
192	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
193	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
200	C₇×C₄⋊Q₈	—	4	2	no	—
201	C₇×#125	—	4	2	no	—
202	C₇×C₂²⋊Q₈	—	4	2	no	—
203	C₇×C₂²⋊Q₈	—	4	2	no	—
204	C₄×C₇×D₄	Q₈	1	8	yes	complemented
205	C₇×#117	—	4	2	no	—
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₄²×C₇	—	4	2	no	—
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	C₇×#95	C₂³	1	1	yes	characteristic
287	C₇×#95	C₂³	1	1	yes	characteristic
288	C₇×#95	C₂³	1	1	yes	characteristic
289	C₇×#95	C₂³	1	1	yes	characteristic
290	C₇×#95	C₂³	1	1	yes	characteristic
291	C₇×#95	C₂³	1	1	yes	characteristic
292	C₇×#95	C₂³	1	1	yes	characteristic
293	C₇×#95	C₂³	1	1	yes	characteristic
294	C₇×#95	C₂³	1	1	yes	characteristic
295	C₇×#95	C₂³	1	1	yes	characteristic
296	C₇×#95	C₂³	1	1	yes	characteristic
297	C₇×#95	C₂³	1	1	yes	characteristic
298	C₇×#95	C₂³	1	1	yes	characteristic
299	C₇×#95	C₂³	1	1	yes	characteristic
300	C₇×#95	C₂³	1	1	yes	characteristic
301	C₇×#95	C₂³	1	1	yes	characteristic
302	C₇×#95	C₂³	1	1	yes	characteristic
303	C₇×#95	C₂³	1	1	yes	characteristic
304	C₇×#95	C₂³	1	1	yes	characteristic
305	C₇×#95	C₂³	1	1	yes	characteristic
306	C₇×#95	C₂³	1	1	yes	characteristic
307	C₇×#95	C₂³	1	1	yes	characteristic
308	C₇×#95	C₂³	1	1	yes	characteristic
309	C₇×#95	C₂³	1	1	yes	characteristic
310	C₇×#95	C₂³	1	1	yes	characteristic
311	C₇×#95	C₂³	1	1	yes	characteristic
312	C₇×#95	C₂³	1	1	yes	characteristic
313	C₇×#95	C₂³	1	1	yes	characteristic
314	C₇×#95	C₂³	1	1	yes	characteristic
315	C₇×#95	C₂³	1	1	yes	characteristic
316	C₇×#95	C₂³	1	1	yes	characteristic
317	C₇×#95	C₂³	1	1	yes	characteristic
318	C₇×#95	C₂³	1	1	yes	characteristic
319	C₇×#95	C₂³	1	1	yes	characteristic
320	C₇×#95	C₂³	1	1	yes	characteristic
321	C₇×#95	C₂³	1	1	yes	characteristic
322	C₇×#95	C₂³	1	1	yes	characteristic
323	C₇×#95	C₂³	1	1	yes	characteristic
324	C₇×#95	C₂³	1	1	yes	characteristic
325	C₇×#95	C₂³	1	1	yes	characteristic
326	C₇×#95	C₂³	1	1	yes	characteristic
327	C₇×#95	C₂³	1	1	yes	characteristic
328	C₇×#95	C₂³	1	1	yes	characteristic
329	C₇×#95	C₂³	1	1	yes	characteristic
330	C₇×#95	C₂³	1	1	yes	characteristic
331	C₇×#95	C₂³	1	1	yes	characteristic
332	C₇×#95	C₂³	1	1	yes	characteristic
333	C₇×#95	C₂³	1	1	yes	characteristic
334	C₇×#95	C₂³	1	1	yes	characteristic
335	C₇×#95	C₂³	1	1	yes	characteristic
336	C₇×#95	C₂³	1	1	yes	characteristic
337	C₇×#95	C₂³	1	1	yes	characteristic
338	C₇×#95	C₂³	1	1	yes	characteristic
339	C₇×#95	C₂³	1	1	yes	characteristic
340	C₇×#95	C₂³	1	1	yes	characteristic
341	C₇×#95	C₂³	1	1	yes	characteristic
342	C₇×#95	C₂³	1	1	yes	characteristic
343	C₇×#95	C₂³	1	1	yes	characteristic
344	C₇×#95	C₂³	1	1	yes	characteristic
345	C₇×#95	C₂³	1	1	yes	characteristic
346	C₇×#95	C₂³	1	1	yes	characteristic
347	C₇×#95	C₂³	1	1	yes	characteristic
348	C₇×#95	C₂³	1	1	yes	characteristic
349	C₇×#95	C₂³	1	1	yes	characteristic
350	#2855	C₂×C₇	1	1	yes	characteristic, complemented
351	#2851	C₂×C₇	1	1	yes	characteristic, complemented
352	#2805	C₂×C₇	1	1	yes	characteristic, complemented
353	#2804	C₂×C₇	1	1	yes	characteristic
354	#2790	C₂×C₇	1	1	yes	characteristic, complemented
355	#2788	C₂×C₇	1	1	yes	characteristic, complemented
356	#2788	C₂×C₇	1	1	yes	characteristic, complemented
357	#2784	C₂×C₇	1	1	yes	characteristic
358	#2780	C₂×C₇	1	1	yes	characteristic
359	#2774	C₂×C₇	1	1	yes	characteristic, complemented
360	#2763	C₂×C₇	1	1	yes	characteristic, complemented
361	#2763	C₂×C₇	1	1	yes	characteristic, complemented
362	#2755	C₂×C₇	1	1	yes	characteristic, complemented
363	#2742	C₂×C₇	1	1	yes	characteristic, complemented
364	#2729	C₂×C₇	1	1	yes	characteristic, complemented
365	#2720	C₂×C₇	1	1	yes	characteristic, complemented
366	#2713	C₂×C₇	1	1	yes	characteristic, complemented
367	#2692	C₂×C₇	1	1	yes	characteristic
368	#2665	C₂×C₇	1	1	yes	characteristic, complemented
369	#2665	C₂×C₇	1	1	yes	characteristic, complemented
370	#2612	C₂×C₇	1	1	yes	characteristic, complemented
371	#2607	C₂×C₇	1	1	yes	characteristic, complemented
372	#2605	C₂×C₇	1	1	yes	characteristic, complemented
373	#2605	C₂×C₇	1	1	yes	characteristic, complemented
374	#2570	C₂×C₇	1	1	yes	characteristic, complemented
375	#2569	C₂×C₇	1	1	yes	characteristic, complemented
376	#2439	C₂×C₇	1	1	yes	characteristic, complemented
377	#2438	C₂×C₇	1	1	yes	characteristic, complemented
378	#2319	C₂×C₇	1	1	yes	characteristic
379	#2318	C₂×C₇	1	1	yes	characteristic
380	#2290	C₂×C₇	1	1	yes	characteristic
381	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
383	C₂×C₇×Q₈	—	2	2	no	—
384	C₂×C₇×Q₈	—	4	1	no	—
385	C₂×C₇×Q₈	—	4	1	no	—
386	C₂×C₇×Q₈	—	4	1	no	—
387	C₂×C₇×Q₈	—	4	1	no	—
388	C₂×C₇×Q₈	—	4	1	no	—
389	C₂×C₇×Q₈	—	4	1	no	—
390	C₂×C₇×Q₈	—	4	1	no	—
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	—	4	1	no	—
396	C₂×C₇×Q₈	—	4	1	no	—
397	C₂×C₇×Q₈	—	4	1	no	—
398	C₂×C₇×D₄	—	4	1	no	—
399	C₂×C₇×D₄	—	4	1	no	—
400	C₂×C₇×D₄	C₂×Q₈	1	4	yes	—
401	C₂²×C₄×C₇	—	2	2	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	—	4	1	no	—
406	C₂²×C₄×C₇	—	4	1	no	—
407	C₂²×C₄×C₇	—	4	1	no	—
408	C₂²×C₄×C₇	—	4	1	no	—
409	C₂²×C₄×C₇	—	4	1	no	—
410	C₂²×C₄×C₇	—	4	1	no	—
411	C₂²×C₄×C₇	—	4	1	no	—
412	C₂²×C₄×C₇	—	4	1	no	—
413	C₂²×C₄×C₇	—	4	1	no	—
414	C₂²×C₄×C₇	—	4	1	no	—
415	C₂²×C₄×C₇	—	4	1	no	—
416	C₂²×C₄×C₇	—	4	1	no	—
417	C₂²×C₄×C₇	C₂×Q₈	1	4	yes	—
418	C₂²×C₄×C₇	C₂×Q₈	1	4	yes	—
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	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	C₇×C₄⋊C₄	—	2	2	no	—
449	C₇×C₄⋊C₄	—	2	2	no	—
450	C₇×C₄⋊C₄	—	2	2	no	—
451	C₇×C₄⋊C₄	—	2	2	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	—	4	1	no	—
463	C₇×C₄⋊C₄	—	4	1	no	—
464	C₇×C₄⋊C₄	—	4	1	no	—
465	C₇×C₄⋊C₄	—	4	1	no	—
466	C₇×C₄⋊C₄	—	4	1	no	—
467	C₇×C₄⋊C₄	—	4	1	no	—
468	C₇×C₄⋊C₄	—	4	1	no	—
469	C₇×C₄⋊C₄	—	4	1	no	—
470	C₇×C₄⋊C₄	—	4	1	no	—
471	C₇×C₄⋊C₄	—	4	1	no	—
472	C₇×C₄⋊C₄	—	4	1	no	—
473	C₇×C₄⋊C₄	—	4	1	no	—
474	C₇×C₄⋊C₄	—	4	1	no	—
475	C₇×C₄⋊C₄	—	4	1	no	—
476	C₇×C₄⋊C₄	—	4	1	no	—
477	C₇×C₄⋊C₄	—	4	1	no	—
478	C₇×C₄⋊C₄	—	4	1	no	—
479	C₇×C₄⋊C₄	—	4	1	no	—
480	C₇×C₄⋊C₄	—	4	1	no	—
481	C₇×C₄⋊C₄	—	4	1	no	—
482	C₇×C₄⋊C₄	—	4	1	no	—
483	C₇×C₄⋊C₄	—	4	1	no	—
484	C₇×C₄⋊C₄	—	4	1	no	—
485	C₇×C₄⋊C₄	—	4	1	no	—
486	C₇×C₄⋊C₄	—	4	1	no	—
487	C₇×C₄⋊C₄	—	4	1	no	—
488	C₇×C₄⋊C₄	—	4	1	no	—
489	C₇×C₄⋊C₄	—	4	1	no	—
490	C₇×C₄⋊C₄	—	4	1	no	—
491	C₇×C₄⋊C₄	C₂×Q₈	1	4	yes	—
492	C₇×C₂²⋊C₄	—	2	2	no	—
493	C₇×C₂²⋊C₄	—	4	1	no	—
494	C₇×C₂²⋊C₄	—	4	1	no	—
495	C₇×C₂²⋊C₄	—	4	1	no	—
496	C₇×C₂²⋊C₄	—	4	1	no	—
497	C₇×C₂²⋊C₄	—	4	1	no	—
498	C₇×C₂²⋊C₄	—	4	1	no	—
499	C₇×C₂²⋊C₄	—	4	1	no	—
500	C₇×C₂²⋊C₄	—	4	1	no	—
501	C₇×C₂²⋊C₄	—	4	1	no	—
502	C₇×C₂²⋊C₄	—	4	1	no	—
503	C₇×C₂²⋊C₄	—	4	1	no	—
504	C₇×C₂²⋊C₄	—	4	1	no	—
505	C₇×C₂²⋊C₄	—	4	1	no	—
506	C₇×C₂²⋊C₄	—	4	1	no	—
507	C₇×C₂²⋊C₄	—	4	1	no	—
508	C₇×C₂²⋊C₄	—	4	1	no	—
509	C₇×C₂²⋊C₄	—	4	1	no	—
510	C₇×C₂²⋊C₄	—	4	1	no	—
511	C₇×C₂²⋊C₄	—	4	1	no	—
512	C₇×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
513	C₇×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
514	C₄²×C₇	—	2	2	no	—
515	C₄²×C₇	—	2	2	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	—	4	1	no	—
521	C₄²×C₇	—	4	1	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	C₂×Q₈	1	4	yes	—
527	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
528	C₂×#125	C₂²×C₇	1	1	yes	characteristic
529	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
530	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
531	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
532	C₂×#117	C₂²×C₇	1	1	yes	characteristic
533	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
534	#400	C₂²×C₇	1	1	yes	characteristic
535	#400	C₂²×C₇	1	1	yes	characteristic
536	#400	C₂²×C₇	1	1	yes	characteristic
537	#400	C₂²×C₇	1	1	yes	characteristic
538	#400	C₂²×C₇	1	1	yes	characteristic
539	#400	C₂²×C₇	1	1	yes	characteristic
540	#400	C₂²×C₇	1	1	yes	characteristic
541	#400	C₂²×C₇	1	1	yes	characteristic
542	#400	C₂²×C₇	1	1	yes	characteristic
543	#400	C₂²×C₇	1	1	yes	characteristic
544	#400	C₂²×C₇	1	1	yes	characteristic
545	#400	C₂²×C₇	1	1	yes	characteristic
546	#400	C₂²×C₇	1	1	yes	characteristic
547	#400	C₂²×C₇	1	1	yes	characteristic
548	#399	C₂²×C₇	1	1	yes	characteristic
549	#399	C₂²×C₇	1	1	yes	characteristic
550	#398	C₂²×C₇	1	1	yes	characteristic
551	#398	C₂²×C₇	1	1	yes	characteristic
552	#398	C₂²×C₇	1	1	yes	characteristic
553	#398	C₂²×C₇	1	1	yes	characteristic
554	#398	C₂²×C₇	1	1	yes	characteristic
555	#398	C₂²×C₇	1	1	yes	characteristic
556	#398	C₂²×C₇	1	1	yes	characteristic
557	#398	C₂²×C₇	1	1	yes	characteristic
558	#396	C₂²×C₇	1	1	yes	characteristic
559	#396	C₂²×C₇	1	1	yes	characteristic
560	#396	C₂²×C₇	1	1	yes	characteristic
561	#396	C₂²×C₇	1	1	yes	characteristic
562	#396	C₂²×C₇	1	1	yes	characteristic
563	#396	C₂²×C₇	1	1	yes	characteristic
564	#395	C₂²×C₇	1	1	yes	characteristic
565	#395	C₂²×C₇	1	1	yes	characteristic
566	#395	C₂²×C₇	1	1	yes	characteristic
567	#395	C₂²×C₇	1	1	yes	characteristic
568	#395	C₂²×C₇	1	1	yes	characteristic
569	#395	C₂²×C₇	1	1	yes	characteristic
570	#395	C₂²×C₇	1	1	yes	characteristic
571	#395	C₂²×C₇	1	1	yes	characteristic
572	#395	C₂²×C₇	1	1	yes	characteristic
573	#395	C₂²×C₇	1	1	yes	characteristic
574	#393	C₂²×C₇	1	1	yes	characteristic
575	#393	C₂²×C₇	1	1	yes	characteristic
576	#393	C₂²×C₇	1	1	yes	characteristic
577	#393	C₂²×C₇	1	1	yes	characteristic
578	#393	C₂²×C₇	1	1	yes	characteristic
579	#393	C₂²×C₇	1	1	yes	characteristic
580	#393	C₂²×C₇	1	1	yes	characteristic
581	#393	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	#391	C₂²×C₇	1	1	yes	characteristic
586	#391	C₂²×C₇	1	1	yes	characteristic
587	#391	C₂²×C₇	1	1	yes	characteristic
588	#391	C₂²×C₇	1	1	yes	characteristic
589	#391	C₂²×C₇	1	1	yes	characteristic
590	#391	C₂²×C₇	1	1	yes	characteristic
591	#391	C₂²×C₇	1	1	yes	characteristic
592	#391	C₂²×C₇	1	1	yes	characteristic
593	#391	C₂²×C₇	1	1	yes	characteristic
594	#391	C₂²×C₇	1	1	yes	characteristic
595	#390	C₂²×C₇	1	1	yes	characteristic
596	#390	C₂²×C₇	1	1	yes	characteristic
597	#389	C₂²×C₇	1	1	yes	characteristic
598	#389	C₂²×C₇	1	1	yes	characteristic
599	#389	C₂²×C₇	1	1	yes	characteristic
600	#389	C₂²×C₇	1	1	yes	characteristic
601	#389	C₂²×C₇	1	1	yes	characteristic
602	#389	C₂²×C₇	1	1	yes	characteristic
603	#389	C₂²×C₇	1	1	yes	characteristic
604	#389	C₂²×C₇	1	1	yes	characteristic
605	#389	C₂²×C₇	1	1	yes	characteristic
606	#389	C₂²×C₇	1	1	yes	characteristic
607	#389	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	#388	C₂²×C₇	1	1	yes	characteristic
612	#388	C₂²×C₇	1	1	yes	characteristic
613	#388	C₂²×C₇	1	1	yes	characteristic
614	#388	C₂²×C₇	1	1	yes	characteristic
615	#388	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	#386	C₂²×C₇	1	1	yes	characteristic
641	#386	C₂²×C₇	1	1	yes	characteristic
642	#386	C₂²×C₇	1	1	yes	characteristic
643	#386	C₂²×C₇	1	1	yes	characteristic
644	#385	C₂²×C₇	1	1	yes	characteristic
645	#385	C₂²×C₇	1	1	yes	characteristic
646	#385	C₂²×C₇	1	1	yes	characteristic
647	#385	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	#384	C₂²×C₇	1	1	yes	characteristic
659	#383	C₂²×C₇	1	1	yes	characteristic
660	#382	C₂²×C₇	1	1	yes	characteristic
661	#382	C₂²×C₇	1	1	yes	characteristic
662	#382	C₂²×C₇	1	1	yes	characteristic
663	#382	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	#380	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	#380	C₂²×C₇	1	1	yes	characteristic
672	#380	C₂²×C₇	1	1	yes	characteristic
673	#380	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×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
677	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
678	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
679	#376	C₂²×C₇	1	1	yes	characteristic
680	#376	C₂²×C₇	1	1	yes	characteristic
681	C₂×#95	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	—	2	1	no	—
689	C₂³×C₇	—	2	1	no	—
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	C₂²×Q₈	1	2	yes	—
695	C₂³×C₇	C₂²×Q₈	1	2	yes	—
696	C₂³×C₇	C₂⁵	1	1	yes	characteristic
697	C₇×Q₈	—	8	2	no	—
698	C₇×Q₈	—	8	2	no	—
699	C₇×Q₈	—	8	2	no	—
700	C₇×Q₈	—	8	2	no	—
701	C₇×Q₈	—	8	2	no	—
702	C₇×D₄	—	4	4	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	—	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	—	4	4	no	—
785	C₂×C₄×C₇	—	4	4	no	—
786	C₂×C₄×C₇	—	4	4	no	—
787	C₂×C₄×C₇	—	4	4	no	—
788	C₂×C₄×C₇	—	8	2	no	—
789	C₂×C₄×C₇	—	8	2	no	—
790	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
791	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
792	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
793	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
794	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
795	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
796	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
797	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
798	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
799	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
800	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
801	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
802	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
803	C₂³×C₄	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	C₄⋊Q₈	—	4	2	no	—
809	#125	—	4	2	no	—
810	C₂²⋊Q₈	—	4	2	no	—
811	C₂²⋊Q₈	—	4	2	no	—
812	C₄×D₄	C₇×Q₈	1	8	yes	complemented
813	#117	—	4	2	no	—
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×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×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×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
865	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
866	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
869	C₂×C₂²⋊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×C₄²	—	4	2	no	—
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	#95	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	#95	C₂³×C₇	1	1	yes	characteristic
956	#95	C₂³×C₇	1	1	yes	characteristic
957	#95	C₂³×C₇	1	1	yes	characteristic
958	C₂²×C₇	—	2	2	no	—
959	C₂²×C₇	—	2	2	no	—
960	C₂²×C₇	—	2	2	no	—
961	C₂²×C₇	—	2	2	no	—
962	C₂²×C₇	—	2	2	no	—
963	C₂²×C₇	—	2	2	no	—
964	C₂²×C₇	—	4	1	no	—
965	C₂²×C₇	—	4	1	no	—
966	C₂²×C₇	—	4	1	no	—
967	C₂²×C₇	—	4	1	no	—
968	C₂²×C₇	—	4	1	no	—
969	C₂²×C₇	—	4	1	no	—
970	C₂²×C₇	—	4	1	no	—
971	C₂²×C₇	—	4	1	no	—
972	C₂²×C₇	C₂³×Q₈	1	1	yes	characteristic
973	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
974	C₂²×C₇	#585	1	1	yes	characteristic
975	C₂²×C₇	#585	1	1	yes	characteristic
976	C₂²×C₇	#585	1	1	yes	characteristic
977	C₂²×C₇	#585	1	1	yes	characteristic
978	C₂²×C₇	#585	1	1	yes	characteristic
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	C₄×C₇	—	4	1	no	—
1000	C₄×C₇	—	4	1	no	—
1001	C₄×C₇	—	4	1	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	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1009	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1010	C₂×Q₈	—	2	2	no	—
1011	C₂×Q₈	—	4	1	no	—
1012	C₂×Q₈	—	4	1	no	—
1013	C₂×Q₈	—	4	1	no	—
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×Q₈	—	4	1	no	—
1016	C₂×Q₈	—	4	1	no	—
1017	C₂×Q₈	—	4	1	no	—
1018	C₂×Q₈	—	4	1	no	—
1019	C₂×Q₈	—	4	1	no	—
1020	C₂×Q₈	—	4	1	no	—
1021	C₂×Q₈	—	4	1	no	—
1022	C₂×Q₈	—	4	1	no	—
1023	C₂×Q₈	—	4	1	no	—
1024	C₂×Q₈	—	4	1	no	—
1025	C₂×D₄	—	4	1	no	—
1026	C₂×D₄	—	4	1	no	—
1027	C₂×D₄	C₂×C₇×Q₈	1	4	yes	—
1028	C₂²×C₄	—	2	2	no	—
1029	C₂²×C₄	—	4	1	no	—
1030	C₂²×C₄	—	4	1	no	—
1031	C₂²×C₄	—	4	1	no	—
1032	C₂²×C₄	—	4	1	no	—
1033	C₂²×C₄	—	4	1	no	—
1034	C₂²×C₄	—	4	1	no	—
1035	C₂²×C₄	—	4	1	no	—
1036	C₂²×C₄	—	4	1	no	—
1037	C₂²×C₄	—	4	1	no	—
1038	C₂²×C₄	—	4	1	no	—
1039	C₂²×C₄	—	4	1	no	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	C₂×C₇×Q₈	1	4	yes	—
1045	C₂²×C₄	C₂×C₇×Q₈	1	4	yes	—
1046	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1047	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	4	1	no	—
1084	C₄⋊C₄	—	4	1	no	—
1085	C₄⋊C₄	—	4	1	no	—
1086	C₄⋊C₄	—	4	1	no	—
1087	C₄⋊C₄	—	4	1	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	4	1	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	4	1	no	—
1099	C₄⋊C₄	—	4	1	no	—
1100	C₄⋊C₄	—	4	1	no	—
1101	C₄⋊C₄	—	4	1	no	—
1102	C₄⋊C₄	—	4	1	no	—
1103	C₄⋊C₄	—	4	1	no	—
1104	C₄⋊C₄	—	4	1	no	—
1105	C₄⋊C₄	—	4	1	no	—
1106	C₄⋊C₄	—	4	1	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	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	C₂×C₇×Q₈	1	4	yes	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	4	1	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	4	1	no	—
1127	C₂²⋊C₄	—	4	1	no	—
1128	C₂²⋊C₄	—	4	1	no	—
1129	C₂²⋊C₄	—	4	1	no	—
1130	C₂²⋊C₄	—	4	1	no	—
1131	C₂²⋊C₄	—	4	1	no	—
1132	C₂²⋊C₄	—	4	1	no	—
1133	C₂²⋊C₄	—	4	1	no	—
1134	C₂²⋊C₄	—	4	1	no	—
1135	C₂²⋊C₄	—	4	1	no	—
1136	C₂²⋊C₄	—	4	1	no	—
1137	C₂²⋊C₄	—	4	1	no	—
1138	C₂²⋊C₄	—	4	1	no	—
1139	C₂²⋊C₄	C₂×C₇×Q₈	1	4	yes	—
1140	C₂²⋊C₄	C₂×C₇×Q₈	1	4	yes	—
1141	C₄²	—	2	2	no	—
1142	C₄²	—	2	2	no	—
1143	C₄²	—	4	1	no	—
1144	C₄²	—	4	1	no	—
1145	C₄²	—	4	1	no	—
1146	C₄²	—	4	1	no	—
1147	C₄²	—	4	1	no	—
1148	C₄²	—	4	1	no	—
1149	C₄²	—	4	1	no	—
1150	C₄²	—	4	1	no	—
1151	C₄²	—	4	1	no	—
1152	C₄²	—	4	1	no	—
1153	C₄²	C₂×C₇×Q₈	1	4	yes	—
1154	C₂×C₇	—	4	2	no	—
1155	C₂×C₇	—	4	2	no	—
1156	C₂×C₇	#3458	1	1	yes	characteristic
1157	C₂×C₇	#3501	1	1	yes	characteristic
1158	C₂×C₇	#3504	1	1	yes	characteristic
1159	C₂×C₇	#3533	1	1	yes	characteristic
1160	C₂×C₇	#3540	1	1	yes	characteristic
1161	C₂×C₇	#3566	1	1	yes	characteristic
1162	C₂×C₇	#3568	1	1	yes	characteristic
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	1	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	C₂²×C₇×Q₈	1	2	yes	—
1176	C₂³	C₂²×C₇×Q₈	1	2	yes	—
1177	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1178	Q₈	—	8	2	no	—
1179	Q₈	—	8	2	no	—
1180	Q₈	—	8	2	no	—
1181	Q₈	—	8	2	no	—
1182	Q₈	—	8	2	no	—
1183	D₄	—	4	4	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	—	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	—	4	4	no	—
1266	C₂×C₄	—	4	4	no	—
1267	C₂×C₄	—	4	4	no	—
1268	C₂×C₄	—	4	4	no	—
1269	C₂×C₄	—	8	2	no	—
1270	C₂×C₄	—	8	2	no	—
1271	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1272	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1273	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1274	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1275	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1276	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1277	C₇	#36755	1	1	yes	characteristic, direct product factor, Sylow
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	2	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	2	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	4	1	no	—
1289	C₂²	—	4	1	no	—
1290	C₂²	—	4	1	no	—
1291	C₂²	—	4	1	no	—
1292	C₂²	C₂³×C₇×Q₈	1	1	yes	characteristic
1293	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1294	C₂²	C₇×#585	1	1	yes	characteristic
1295	C₂²	C₇×#585	1	1	yes	characteristic
1296	C₂²	C₇×#585	1	1	yes	characteristic
1297	C₂²	C₇×#585	1	1	yes	characteristic
1298	C₂²	C₇×#585	1	1	yes	characteristic
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	2	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	2	2	no	—
1304	C₄	—	2	2	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	—	4	1	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	1	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	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	C₂	—	4	2	no	—
1329	C₂	—	4	2	no	—
1330	C₂	C₇×#3458	1	1	yes	characteristic
1331	C₂	C₇×#3501	1	1	yes	characteristic
1332	C₂	C₇×#3504	1	1	yes	characteristic
1333	C₂	C₇×#3533	1	1	yes	characteristic
1334	C₂	C₇×#3540	1	1	yes	characteristic
1335	C₂	C₇×#3566	1	1	yes	characteristic
1336	C₂	C₇×#3568	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
2. C₇×#2851	C₂	semidirect
3. C₇×#2805	C₂	semidirect
5. C₇×#2790	C₂	semidirect
6. C₇×#2788	C₂	semidirect
7. C₇×#2788	C₂	semidirect
10. C₇×#2774	C₂	semidirect
11. C₇×#2763	C₂	semidirect
12. C₇×#2763	C₂	semidirect
13. C₇×#2755	C₂	semidirect
14. C₇×#2742	C₂	semidirect
15. C₇×#2729	C₂	semidirect
16. C₇×#2720	C₂	semidirect
17. C₇×#2713	C₂	semidirect
19. C₇×#2665	C₂	semidirect
20. C₇×#2665	C₂	semidirect
21. C₇×#2612	C₂	semidirect
22. C₇×#2607	C₂	semidirect
23. C₇×#2605	C₂	semidirect
24. C₇×#2605	C₂	semidirect
25. C₇×#2570	C₂	semidirect
26. C₇×#2569	C₂	semidirect
27. C₇×#2439	C₂	semidirect
28. C₇×#2438	C₂	semidirect
187. #36755	C₇	direct (N × H)
204. C₄×C₇×D₄	Q₈	semidirect
350. #2855	C₂×C₇	semidirect
351. #2851	C₂×C₇	semidirect
352. #2805	C₂×C₇	semidirect
354. #2790	C₂×C₇	semidirect
355. #2788	C₂×C₇	semidirect
356. #2788	C₂×C₇	semidirect
359. #2774	C₂×C₇	semidirect
360. #2763	C₂×C₇	semidirect
361. #2763	C₂×C₇	semidirect
362. #2755	C₂×C₇	semidirect
363. #2742	C₂×C₇	semidirect
364. #2729	C₂×C₇	semidirect
365. #2720	C₂×C₇	semidirect
366. #2713	C₂×C₇	semidirect
368. #2665	C₂×C₇	semidirect
369. #2665	C₂×C₇	semidirect
370. #2612	C₂×C₇	semidirect
371. #2607	C₂×C₇	semidirect
372. #2605	C₂×C₇	semidirect
373. #2605	C₂×C₇	semidirect
374. #2570	C₂×C₇	semidirect
375. #2569	C₂×C₇	semidirect
376. #2439	C₂×C₇	semidirect
377. #2438	C₂×C₇	semidirect
812. C₄×D₄	C₇×Q₈	semidirect
1277. C₇	#36755	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×#2851	2
C₇×#2805	2
C₇×#2804	2
C₇×#2790	2
C₇×#2788	2
C₇×#2784	2
C₇×#2780	2
C₇×#2774	2
C₇×#2763	2
C₇×#2755	2
C₇×#2742	2
C₇×#2729	2
C₇×#2720	2
C₇×#2713	2
C₇×#2692	2
C₇×#2665	2
C₇×#2612	2
C₇×#2607	2
C₇×#2605	2
C₇×#2570	2
C₇×#2569	2
C₇×#2439	2
C₇×#2438	2
C₇×#2319	2
C₇×#2318	2
C₇×#2290	2
#36755	7

Subgroups — C7×#36755 #13213971

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#36755 #13213971