Subgroups — #13562631

Order 1792.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2322	C₂	1	1	yes	maximal, characteristic, complemented
2	#11740339	C₂	1	1	yes	maximal, characteristic
3	#11740303	C₂	1	1	yes	maximal, characteristic, complemented
4	#11739849	C₂	1	1	yes	maximal, characteristic
5	#11739805	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#89761	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739602	C₂	1	1	yes	maximal, characteristic, complemented
8	#11733727	C₂	1	1	yes	maximal, characteristic, complemented
9	#11733720	C₂	1	1	yes	maximal, characteristic, complemented
10	#11733707	C₂	1	1	yes	maximal, characteristic, complemented
11	#11733564	C₂	1	1	yes	maximal, characteristic, complemented
12	#11733398	C₂	1	1	yes	maximal, characteristic, complemented
13	#11733377	C₂	1	1	yes	maximal, characteristic, complemented
14	#11733220	C₂	1	1	yes	maximal, characteristic, complemented
15	#11733119	C₂	1	1	yes	maximal, characteristic, complemented
16	#11732877	C₂	1	1	yes	maximal, characteristic, complemented
17	#11732858	C₂	1	1	yes	maximal, characteristic, complemented
18	#11732693	C₂	1	1	yes	maximal, characteristic, complemented
19	#11732689	C₂	1	1	yes	maximal, characteristic, complemented
20	#11732381	C₂	1	1	yes	maximal, characteristic
21	#11732231	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732100	C₂	1	1	yes	maximal, characteristic, complemented
23	#11732076	C₂	1	1	yes	maximal, characteristic, complemented
24	#11732012	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731986	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731983	C₂	1	1	yes	maximal, characteristic, complemented
27	#11731949	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731574	C₂	1	1	yes	maximal, characteristic, complemented
29	#11731512	C₂	1	1	yes	maximal, characteristic, complemented
30	#11731041	C₂	1	1	yes	maximal, characteristic, complemented
31	#11730946	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic
33	C₂×C₇×#123	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
35	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
36	C₂×#6500	C₂²	1	1	yes	characteristic
37	C₂×#6492	C₂²	1	1	yes	characteristic
38	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×#6489	C₂²	1	1	yes	characteristic
41	C₂×#6489	C₂²	1	1	yes	characteristic
42	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
43	C₂²×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×#6459	C₂²	1	1	yes	characteristic
45	C₂×#6459	C₂²	1	1	yes	characteristic
46	C₂×#6446	C₂²	1	1	yes	characteristic
47	C₂×#6446	C₂²	1	1	yes	characteristic
48	C₂×#6441	C₂²	1	1	yes	characteristic
49	C₂×#6439	C₂²	1	1	yes	characteristic
50	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
51	C₇×#389	C₂²	1	1	yes	characteristic, complemented
52	C₇×#389	C₂²	1	1	yes	characteristic, complemented
53	C₇×#388	C₂²	1	1	yes	characteristic, complemented
54	C₇×#388	C₂²	1	1	yes	characteristic, complemented
55	C₇×#387	C₂²	1	1	yes	characteristic, complemented
56	C₇×#387	C₂²	1	1	yes	characteristic, complemented
57	C₇×#386	C₂²	1	1	yes	characteristic
58	C₇×#385	C₂²	1	1	yes	characteristic
59	C₇×#385	C₂²	1	1	yes	characteristic, complemented
60	C₇×#385	C₂²	1	1	yes	characteristic, complemented
61	C₇×#381	C₂²	1	1	yes	characteristic
62	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	#89992	C₂²	1	1	yes	characteristic
64	#89992	C₂²	1	1	yes	characteristic
65	#89992	C₂²	1	1	yes	characteristic
66	#89985	C₂²	1	1	yes	characteristic
67	#89982	C₂²	1	1	yes	characteristic
68	#89982	C₂²	1	1	yes	characteristic
69	#89982	C₂²	1	1	yes	characteristic
70	#89982	C₂²	1	1	yes	characteristic
71	#89982	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₇⋊#95	C₂²	1	1	yes	characteristic
73	C₂×C₇⋊#95	C₂²	1	1	yes	characteristic
74	#89766	C₂²	1	1	yes	characteristic
75	#89766	C₂²	1	1	yes	characteristic
76	#89765	C₂²	1	1	yes	characteristic
77	#89764	C₂²	1	1	yes	characteristic
78	#89762	C₂²	1	1	yes	characteristic
79	#89762	C₂²	1	1	yes	characteristic
80	#89761	C₂²	1	1	yes	characteristic
81	#89761	C₂²	1	1	yes	characteristic
82	#89761	C₂²	1	1	yes	characteristic
83	#89761	C₂²	1	1	yes	characteristic
84	#89761	C₂²	1	1	yes	characteristic
85	#89761	C₂²	1	1	yes	characteristic
86	#89761	C₂²	1	1	yes	characteristic
87	#89761	C₂²	1	1	yes	characteristic
88	#89761	C₂²	1	1	yes	characteristic
89	#89761	C₂²	1	1	yes	characteristic
90	#89758	C₂²	1	1	yes	characteristic, complemented
91	#89756	C₂²	1	1	yes	characteristic, complemented
92	#89756	C₂²	1	1	yes	characteristic, complemented
93	#89755	C₂²	1	1	yes	characteristic, complemented
94	#89755	C₂²	1	1	yes	characteristic, complemented
95	#89754	C₂²	1	1	yes	characteristic, complemented
96	#89752	C₂²	1	1	yes	characteristic, complemented
97	#89751	C₂²	1	1	yes	characteristic, complemented
98	#89750	C₂²	1	1	yes	characteristic, complemented
99	#89750	C₂²	1	1	yes	characteristic, complemented
100	#89749	C₂²	1	1	yes	characteristic, complemented
101	#89749	C₂²	1	1	yes	characteristic, complemented
102	#89748	C₂²	1	1	yes	characteristic, complemented
103	#89748	C₂²	1	1	yes	characteristic, complemented
104	#89745	C₂²	1	1	yes	characteristic, complemented
105	#89745	C₂²	1	1	yes	characteristic, complemented
106	#89745	C₂²	1	1	yes	characteristic, complemented
107	#89745	C₂²	1	1	yes	characteristic, complemented
108	#89733	C₂²	1	1	yes	characteristic
109	#89733	C₂²	1	1	yes	characteristic
110	#89731	C₂²	1	1	yes	characteristic
111	#89731	C₂²	1	1	yes	characteristic
112	#89729	C₂²	1	1	yes	characteristic
113	#89729	C₂²	1	1	yes	characteristic
114	#89728	C₂²	1	1	yes	characteristic
115	#89728	C₂²	1	1	yes	characteristic
116	#89727	C₂²	1	1	yes	characteristic
117	#89727	C₂²	1	1	yes	characteristic
118	#89727	C₂²	1	1	yes	characteristic
119	#89725	C₂²	1	1	yes	characteristic, complemented
120	#89725	C₂²	1	1	yes	characteristic, complemented
121	#89724	C₂²	1	1	yes	characteristic, complemented
122	#89724	C₂²	1	1	yes	characteristic, complemented
123	#89722	C₂²	1	1	yes	characteristic
124	#89722	C₂²	1	1	yes	characteristic
125	#89722	C₂²	1	1	yes	characteristic
126	#89721	C₂²	1	1	yes	characteristic, complemented
127	#89721	C₂²	1	1	yes	characteristic, complemented
128	#89720	C₂²	1	1	yes	characteristic, complemented
129	#89720	C₂²	1	1	yes	characteristic, complemented
130	#89718	C₂²	1	1	yes	characteristic
131	#89718	C₂²	1	1	yes	characteristic
132	#89716	C₂²	1	1	yes	characteristic, complemented
133	#89716	C₂²	1	1	yes	characteristic, complemented
134	#89714	C₂²	1	1	yes	characteristic
135	#89714	C₂²	1	1	yes	characteristic
136	#89714	C₂²	1	1	yes	characteristic
137	#89712	C₂²	1	1	yes	characteristic
138	#89712	C₂²	1	1	yes	characteristic
139	#89712	C₂²	1	1	yes	characteristic
140	#89712	C₂²	1	1	yes	characteristic
141	#89712	C₂²	1	1	yes	characteristic
142	#89705	C₂²	1	1	yes	characteristic, complemented
143	#89705	C₂²	1	1	yes	characteristic, complemented
144	#89705	C₂²	1	1	yes	characteristic, complemented
145	#89700	C₂²	1	1	yes	characteristic, complemented
146	#89700	C₂²	1	1	yes	characteristic, complemented
147	#89449	C₂²	1	1	yes	characteristic
148	#89449	C₂²	1	1	yes	characteristic
149	#89448	C₂²	1	1	yes	characteristic
150	#89447	C₂²	1	1	yes	characteristic
151	#89447	C₂²	1	1	yes	characteristic
152	#89447	C₂²	1	1	yes	characteristic
153	#89446	C₂²	1	1	yes	characteristic
154	#89446	C₂²	1	1	yes	characteristic
155	#89442	C₂²	1	1	yes	characteristic
156	#89442	C₂²	1	1	yes	characteristic
157	#89442	C₂²	1	1	yes	characteristic
158	#89442	C₂²	1	1	yes	characteristic
159	#89440	C₂²	1	1	yes	characteristic
160	#89440	C₂²	1	1	yes	characteristic
161	#89440	C₂²	1	1	yes	characteristic
162	#89440	C₂²	1	1	yes	characteristic
163	#89439	C₂²	1	1	yes	characteristic
164	#89439	C₂²	1	1	yes	characteristic
165	#89436	C₂²	1	1	yes	characteristic
166	#89436	C₂²	1	1	yes	characteristic
167	C₇⋊#401	C₂²	1	1	yes	characteristic, complemented
168	#89433	C₂²	1	1	yes	characteristic, complemented
169	#89432	C₂²	1	1	yes	characteristic, complemented
170	#89432	C₂²	1	1	yes	characteristic, complemented
171	#89432	C₂²	1	1	yes	characteristic, complemented
172	#89431	C₂²	1	1	yes	characteristic, complemented
173	#89431	C₂²	1	1	yes	characteristic, complemented
174	#89430	C₂²	1	1	yes	characteristic, complemented
175	#89430	C₂²	1	1	yes	characteristic, complemented
176	#89430	C₂²	1	1	yes	characteristic, complemented
177	#89429	C₂²	1	1	yes	characteristic, complemented
178	#89429	C₂²	1	1	yes	characteristic, complemented
179	#89429	C₂²	1	1	yes	characteristic, complemented
180	#89429	C₂²	1	1	yes	characteristic, complemented
181	#89429	C₂²	1	1	yes	characteristic, complemented
182	#89428	C₂²	1	1	yes	characteristic, complemented
183	#89427	C₂²	1	1	yes	characteristic, complemented
184	#89426	C₂²	1	1	yes	characteristic, complemented
185	#89419	C₂²	1	1	yes	characteristic, complemented
186	#89418	C₂²	1	1	yes	characteristic, complemented
187	#36792	—	7	1	no	maximal, Sylow
188	C₂⁴×D₇	C₂³	1	1	yes	characteristic
189	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
196	C₂³×Dic₇	C₂³	1	1	yes	characteristic
197	C₂³×Dic₇	C₂³	1	1	yes	characteristic
198	C₂³×Dic₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₇	—	4	2	no	—
200	C₂²×C₄×D₇	—	4	2	no	—
201	C₂²×C₄×D₇	—	4	2	no	—
202	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
206	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
207	C₇×#123	—	2	4	no	—
208	C₄×C₇×D₄	—	4	2	no	—
209	C₂×C₇×C₄⋊C₄	—	4	2	no	—
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
240	#6500	—	4	2	no	—
241	#6492	—	4	2	no	—
242	C₂×(C₂×D₇)⋊C₄	—	2	4	no	—
243	C₂×(C₂×D₇)⋊C₄	—	4	2	no	—
244	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
266	#6489	—	2	4	no	—
267	#6489	—	4	2	no	—
268	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
279	#6487	—	4	2	no	—
280	C₂×Dic₇⋊C₄	—	4	2	no	—
281	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
309	#6459	—	4	2	no	—
310	#6459	—	4	2	no	—
311	#6446	—	4	2	no	—
312	#6446	—	4	2	no	—
313	#6441	—	4	2	no	—
314	#6439	—	4	2	no	—
315	#6433	—	4	2	no	—
316	C₇×#95	C₂³	1	1	yes	characteristic
317	C₇×#95	C₂³	1	1	yes	characteristic
318	C₇×#95	C₂³	1	1	yes	characteristic
319	C₇×#95	C₂³	1	1	yes	characteristic
320	C₇×#95	C₂³	1	1	yes	characteristic
321	C₇×#95	C₂³	1	1	yes	characteristic
322	C₇×#95	C₂³	1	1	yes	characteristic
323	C₇×#95	C₂³	1	1	yes	characteristic
324	C₇×#95	C₂³	1	1	yes	characteristic
325	C₇×#95	C₂³	1	1	yes	characteristic
326	C₇⋊#95	C₂³	1	1	yes	characteristic
327	C₇⋊#95	C₂³	1	1	yes	characteristic
328	C₇⋊#95	C₂³	1	1	yes	characteristic
329	C₇⋊#95	C₂³	1	1	yes	characteristic
330	C₇⋊#95	C₂³	1	1	yes	characteristic
331	C₇⋊#95	C₂³	1	1	yes	characteristic
332	C₇⋊#95	C₂³	1	1	yes	characteristic
333	C₇⋊#95	C₂³	1	1	yes	characteristic
334	C₇⋊#95	C₂³	1	1	yes	characteristic
335	C₇⋊#95	C₂³	1	1	yes	characteristic
336	C₇⋊#95	C₂³	1	1	yes	characteristic
337	C₇⋊#95	C₂³	1	1	yes	characteristic
338	C₇⋊#95	C₂³	1	1	yes	characteristic
339	C₇⋊#95	C₂³	1	1	yes	characteristic
340	C₇⋊#95	C₂³	1	1	yes	characteristic
341	C₇⋊#95	C₂³	1	1	yes	characteristic
342	C₇⋊#95	C₂³	1	1	yes	characteristic
343	C₇⋊#95	C₂³	1	1	yes	characteristic
344	C₇⋊#95	C₂³	1	1	yes	characteristic
345	C₇⋊#95	C₂³	1	1	yes	characteristic
346	C₇⋊#95	C₂³	1	1	yes	characteristic
347	C₇⋊#95	C₂³	1	1	yes	characteristic
348	C₇⋊#95	C₂³	1	1	yes	characteristic
349	C₇⋊#95	C₂³	1	1	yes	characteristic
350	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	C₇⋊#95	C₂³	1	1	yes	characteristic
353	C₇⋊#95	C₂³	1	1	yes	characteristic
354	C₇⋊#95	C₂³	1	1	yes	characteristic
355	C₇⋊#95	C₂³	1	1	yes	characteristic
356	C₇⋊#95	C₂³	1	1	yes	characteristic
357	C₇⋊#95	C₂³	1	1	yes	characteristic
358	C₇⋊#95	C₂³	1	1	yes	characteristic
359	C₇⋊#95	C₂³	1	1	yes	characteristic
360	C₇⋊#95	C₂³	1	1	yes	characteristic
361	C₇⋊#95	C₂³	1	1	yes	characteristic
362	C₇⋊#95	C₂³	1	1	yes	characteristic
363	C₇⋊#95	C₂³	1	1	yes	characteristic
364	#2849	—	7	1	no	—
365	#2848	—	7	1	no	—
366	#2807	—	7	1	no	—
367	#2796	—	7	1	no	—
368	#2790	—	7	1	no	—
369	#2787	—	7	1	no	—
370	#2782	—	7	1	no	—
371	#2781	—	7	1	no	—
372	#2771	—	7	1	no	—
373	#2765	—	7	1	no	—
374	#2744	—	7	1	no	—
375	#2732	—	7	1	no	—
376	#2724	—	7	1	no	—
377	#2720	—	7	1	no	—
378	#2718	—	7	1	no	—
379	#2694	—	7	1	no	—
380	#2689	—	7	1	no	—
381	#2680	—	7	1	no	—
382	#2646	—	7	1	no	—
383	#2643	—	7	1	no	—
384	#2498	—	7	1	no	—
385	#2482	—	7	1	no	—
386	#2480	—	7	1	no	—
387	#2473	—	7	1	no	—
388	#2449	—	7	1	no	—
389	#2438	—	7	1	no	—
390	#2418	—	7	1	no	—
391	#2411	—	7	1	no	—
392	#2322	D₇	1	1	yes	characteristic, complemented
393	#2317	—	7	1	no	—
394	C₂×#385	—	7	1	no	—
395	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
397	C₂³×D₇	—	2	2	no	—
398	C₂³×D₇	—	2	2	no	—
399	C₂³×D₇	—	2	2	no	—
400	C₂³×D₇	—	2	2	no	—
401	C₂³×D₇	—	2	2	no	—
402	C₂³×D₇	—	4	1	no	—
403	C₂³×D₇	—	4	1	no	—
404	C₂³×D₇	C₂⁴	1	1	yes	characteristic
405	C₂³×D₇	C₂⁴	1	1	yes	characteristic
406	C₂×C₇×D₄	—	2	2	no	—
407	C₂×C₇×D₄	—	2	2	no	—
408	C₂×C₇×D₄	—	2	2	no	—
409	C₂²×C₄×C₇	—	2	2	no	—
410	C₂²×C₄×C₇	—	2	2	no	—
411	C₂²×C₄×C₇	—	2	2	no	—
412	C₂²×C₄×C₇	—	2	2	no	—
413	C₂²×C₄×C₇	—	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	—	4	1	no	—
418	C₂²×C₄×C₇	—	4	1	no	—
419	C₂²×C₄×C₇	—	4	1	no	—
420	C₂²×C₄×C₇	#41	1	4	yes	—
421	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
434	C₂×C₂²⋊D₇	—	2	2	no	—
435	C₂×C₂²⋊D₇	—	2	2	no	—
436	C₂×C₂²⋊D₇	—	4	1	no	—
437	C₂×C₂²⋊D₇	—	4	1	no	—
438	C₂×C₂²⋊D₇	—	4	1	no	—
439	C₂×C₂²⋊D₇	—	4	1	no	—
440	C₂²×Dic₇	—	2	2	no	—
441	C₂²×Dic₇	—	2	2	no	—
442	C₂²×Dic₇	—	2	2	no	—
443	C₂²×Dic₇	—	2	2	no	—
444	C₂²×Dic₇	—	4	1	no	—
445	C₂²×Dic₇	—	4	1	no	—
446	C₂²×Dic₇	—	4	1	no	—
447	C₂²×Dic₇	—	4	1	no	—
448	C₂²×Dic₇	—	4	1	no	—
449	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
463	C₂×C₄×D₇	—	2	2	no	—
464	C₂×C₄×D₇	—	2	2	no	—
465	C₂×C₄×D₇	—	2	2	no	—
466	C₂×C₄×D₇	—	2	2	no	—
467	C₂×C₄×D₇	—	4	1	no	—
468	C₂×C₄×D₇	—	4	1	no	—
469	C₂×C₄×D₇	—	4	1	no	—
470	C₂×C₄×D₇	—	4	1	no	—
471	C₂×C₄×D₇	—	4	1	no	—
472	C₂×C₄×D₇	—	4	1	no	—
473	C₂×C₄×D₇	—	4	1	no	—
474	C₂×C₄×D₇	—	4	1	no	—
475	C₂×C₄×D₇	—	4	16	no	—
476	C₂×Dic₁₄	—	2	2	no	—
477	C₂×Dic₁₄	—	4	1	no	—
478	C₂×Dic₁₄	—	4	1	no	—
479	C₇×C₄⋊C₄	—	2	2	no	—
480	C₇×C₄⋊C₄	—	2	2	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×C₂²⋊C₄	—	2	2	no	—
489	C₇×C₂²⋊C₄	—	2	2	no	—
490	C₇×C₂²⋊C₄	—	2	2	no	—
491	C₇×C₂²⋊C₄	—	2	2	no	—
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	C₄²×C₇	—	4	1	no	—
497	C₄²×C₇	—	4	1	no	—
498	C₄²×C₇	—	4	1	no	—
499	C₂²⋊Dic₇	—	2	2	no	—
500	C₂²⋊Dic₇	—	2	2	no	—
501	C₂²⋊Dic₇	—	2	2	no	—
502	C₂²⋊Dic₇	—	2	2	no	—
503	C₂²⋊Dic₇	—	2	2	no	—
504	C₂²⋊Dic₇	—	4	1	no	—
505	C₂²⋊Dic₇	—	4	1	no	—
506	C₂²⋊Dic₇	—	4	1	no	—
507	C₂²⋊Dic₇	—	4	1	no	—
508	C₂²⋊Dic₇	—	4	1	no	—
509	(C₂×D₇)⋊C₄	—	2	2	no	—
510	(C₂×D₇)⋊C₄	—	2	2	no	—
511	(C₂×D₇)⋊C₄	—	2	2	no	—
512	(C₂×D₇)⋊C₄	—	2	2	no	—
513	(C₂×D₇)⋊C₄	—	2	2	no	—
514	(C₂×D₇)⋊C₄	—	2	2	no	—
515	(C₂×D₇)⋊C₄	—	2	2	no	—
516	(C₂×D₇)⋊C₄	—	2	2	no	—
517	(C₂×D₇)⋊C₄	—	2	2	no	—
518	(C₂×D₇)⋊C₄	—	2	2	no	—
519	(C₂×D₇)⋊C₄	—	2	2	no	—
520	(C₂×D₇)⋊C₄	—	2	2	no	—
521	(C₂×D₇)⋊C₄	—	4	1	no	—
522	(C₂×D₇)⋊C₄	—	4	1	no	—
523	(C₂×D₇)⋊C₄	—	4	1	no	—
524	(C₂×D₇)⋊C₄	—	4	1	no	—
525	(C₂×D₇)⋊C₄	—	4	1	no	—
526	(C₂×D₇)⋊C₄	—	4	1	no	—
527	(C₂×D₇)⋊C₄	—	4	1	no	—
528	(C₂×D₇)⋊C₄	—	4	1	no	—
529	(C₂×D₇)⋊C₄	—	4	1	no	—
530	(C₂×D₇)⋊C₄	—	4	1	no	—
531	C₄⋊Dic₇	—	2	2	no	—
532	C₄⋊Dic₇	—	2	2	no	—
533	C₄⋊Dic₇	—	2	2	no	—
534	C₄⋊Dic₇	—	4	1	no	—
535	C₄⋊Dic₇	—	4	1	no	—
536	C₄⋊Dic₇	—	4	1	no	—
537	C₄⋊Dic₇	—	4	1	no	—
538	C₄⋊Dic₇	—	4	1	no	—
539	C₄⋊Dic₇	—	4	1	no	—
540	C₄⋊Dic₇	—	4	1	no	—
541	C₄⋊Dic₇	—	4	1	no	—
542	Dic₇⋊C₄	—	2	2	no	—
543	Dic₇⋊C₄	—	2	2	no	—
544	Dic₇⋊C₄	—	2	2	no	—
545	Dic₇⋊C₄	—	4	1	no	—
546	Dic₇⋊C₄	—	4	1	no	—
547	Dic₇⋊C₄	—	4	1	no	—
548	Dic₇⋊C₄	—	4	1	no	—
549	Dic₇⋊C₄	—	4	1	no	—
550	Dic₇⋊C₄	—	4	1	no	—
551	Dic₇⋊C₄	—	4	1	no	—
552	Dic₇⋊C₄	—	4	1	no	—
553	Dic₇⋊C₄	—	4	1	no	—
554	Dic₇⋊C₄	—	4	1	no	—
555	Dic₇⋊C₄	—	4	1	no	—
556	Dic₇⋊C₄	—	4	1	no	—
557	Dic₇⋊C₄	—	4	1	no	—
558	Dic₇⋊C₄	—	4	1	no	—
559	Dic₇⋊C₄	—	4	1	no	—
560	Dic₇⋊C₄	—	4	1	no	—
561	Dic₇⋊C₄	—	4	1	no	—
562	Dic₇⋊C₄	—	4	1	no	—
563	Dic₇⋊C₄	—	4	1	no	—
564	Dic₇⋊C₄	—	4	1	no	—
565	Dic₇⋊C₄	—	4	1	no	—
566	C₄×Dic₇	—	2	2	no	—
567	C₄×Dic₇	—	2	2	no	—
568	C₄×Dic₇	—	4	1	no	—
569	C₄×Dic₇	—	4	1	no	—
570	C₂⁴×C₄	—	7	1	no	—
571	C₂×#126	—	7	1	no	—
572	C₂×#125	—	7	1	no	—
573	C₂×#123	—	7	1	no	—
574	C₂×#123	—	7	1	no	—
575	C₂×#123	—	7	1	no	—
576	C₂×#123	C₂×D₇	1	1	yes	characteristic
577	C₂×C₂²⋊Q₈	—	7	1	no	—
578	C₂×C₂²⋊Q₈	—	7	1	no	—
579	C₂×C₂²⋊Q₈	—	7	1	no	—
580	C₂×C₂²⋊Q₈	—	7	1	no	—
581	C₂×#120	—	7	1	no	—
582	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
583	C₂×#117	—	7	1	no	—
584	C₂×#117	—	7	1	no	—
585	C₂²×C₄⋊C₄	—	7	1	no	—
586	C₂²×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
587	C₂²×C₂²⋊C₄	—	7	1	no	—
588	C₂²×C₂²⋊C₄	—	7	1	no	—
589	#401	—	7	1	no	—
590	#400	—	7	1	no	—
591	#400	—	7	1	no	—
592	#400	—	7	1	no	—
593	#400	—	7	1	no	—
594	#400	—	7	1	no	—
595	#400	—	7	1	no	—
596	#400	—	7	1	no	—
597	#400	—	7	1	no	—
598	#400	—	7	1	no	—
599	#400	—	7	1	no	—
600	#399	—	7	1	no	—
601	#399	—	7	1	no	—
602	#399	—	7	1	no	—
603	#399	—	7	1	no	—
604	#399	—	7	1	no	—
605	#398	—	7	1	no	—
606	#398	—	7	1	no	—
607	#398	—	7	1	no	—
608	#398	—	7	1	no	—
609	#398	—	7	1	no	—
610	#398	—	7	1	no	—
611	#398	—	7	1	no	—
612	#398	—	7	1	no	—
613	#398	—	7	1	no	—
614	#398	—	7	1	no	—
615	#398	—	7	1	no	—
616	#397	—	7	1	no	—
617	#397	—	7	1	no	—
618	#397	—	7	1	no	—
619	#397	—	7	1	no	—
620	#397	—	7	1	no	—
621	#397	—	7	1	no	—
622	#397	—	7	1	no	—
623	#397	—	7	1	no	—
624	#397	—	7	1	no	—
625	#397	—	7	1	no	—
626	#396	—	7	1	no	—
627	#396	—	7	1	no	—
628	#396	—	7	1	no	—
629	#396	—	7	1	no	—
630	#396	—	7	1	no	—
631	#395	—	7	1	no	—
632	#395	—	7	1	no	—
633	#394	—	7	1	no	—
634	#394	—	7	1	no	—
635	#394	—	7	1	no	—
636	#394	—	7	1	no	—
637	#391	—	7	1	no	—
638	#390	—	7	1	no	—
639	#390	—	7	1	no	—
640	#389	—	7	1	no	—
641	#389	—	7	1	no	—
642	#389	—	7	1	no	—
643	#389	—	7	1	no	—
644	#389	—	7	1	no	—
645	#389	—	7	1	no	—
646	#389	—	7	1	no	—
647	#389	C₂×D₇	1	1	yes	characteristic, complemented
648	#389	C₂×D₇	1	1	yes	characteristic, complemented
649	#388	—	7	1	no	—
650	#388	—	7	1	no	—
651	#388	—	7	1	no	—
652	#388	—	7	1	no	—
653	#388	—	7	1	no	—
654	#388	—	7	1	no	—
655	#388	—	7	1	no	—
656	#388	—	7	1	no	—
657	#388	—	7	1	no	—
658	#388	—	7	1	no	—
659	#388	—	7	1	no	—
660	#388	—	7	1	no	—
661	#388	—	7	1	no	—
662	#388	C₂×D₇	1	1	yes	characteristic, complemented
663	#388	C₂×D₇	1	1	yes	characteristic, complemented
664	#387	—	7	1	no	—
665	#387	—	7	1	no	—
666	#387	—	7	1	no	—
667	#387	—	7	1	no	—
668	#387	—	7	1	no	—
669	#387	—	7	1	no	—
670	#387	—	7	1	no	—
671	#387	C₂×D₇	1	1	yes	characteristic, complemented
672	#387	C₂×D₇	1	1	yes	characteristic, complemented
673	#386	—	7	1	no	—
674	#386	—	7	1	no	—
675	#386	—	7	1	no	—
676	#386	—	7	1	no	—
677	#386	—	7	1	no	—
678	#386	—	7	1	no	—
679	#386	C₂×D₇	1	1	yes	characteristic
680	#385	—	7	1	no	—
681	#385	—	7	1	no	—
682	#385	—	7	1	no	—
683	#385	—	7	1	no	—
684	#385	—	7	1	no	—
685	#385	—	7	1	no	—
686	#385	—	7	1	no	—
687	#385	—	7	1	no	—
688	#385	—	7	1	no	—
689	#385	—	7	1	no	—
690	#385	—	7	1	no	—
691	#385	—	7	1	no	—
692	#385	—	7	1	no	—
693	#385	—	7	1	no	—
694	#385	—	7	1	no	—
695	#385	—	7	1	no	—
696	#385	—	7	1	no	—
697	#385	—	7	1	no	—
698	#385	—	7	1	no	—
699	#385	—	7	1	no	—
700	#385	—	7	1	no	—
701	#385	—	7	1	no	—
702	#385	—	7	1	no	—
703	#385	—	7	1	no	—
704	#385	C₂×D₇	1	1	yes	characteristic
705	#385	C₂×D₇	1	1	yes	characteristic, complemented
706	#385	C₂×D₇	1	1	yes	characteristic, complemented
707	#384	—	7	1	no	—
708	#384	—	7	1	no	—
709	#382	—	7	1	no	—
710	#382	—	7	1	no	—
711	#381	—	7	1	no	—
712	#381	—	7	1	no	—
713	#381	C₂×D₇	1	1	yes	characteristic
714	#380	—	7	1	no	—
715	#380	—	7	1	no	—
716	#380	—	7	1	no	—
717	#380	—	7	1	no	—
718	#380	—	7	1	no	—
719	#379	—	7	1	no	—
720	#379	—	7	1	no	—
721	#379	—	7	1	no	—
722	C₄×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
723	C₂×#95	—	7	1	no	—
724	C₂×#95	—	7	1	no	—
725	C₂³×C₇	—	2	1	no	—
726	C₂³×C₇	—	2	1	no	—
727	C₂³×C₇	—	2	1	no	—
728	C₂³×C₇	—	2	1	no	—
729	C₂³×C₇	—	2	1	no	—
730	C₂³×C₇	—	2	1	no	—
731	C₂³×C₇	—	2	1	no	—
732	C₂³×C₇	—	2	1	no	—
733	C₂³×C₇	—	2	1	no	—
734	C₂³×C₇	—	2	1	no	—
735	C₂³×C₇	—	2	1	no	—
736	C₂³×C₇	C₂×#41	1	2	yes	—
737	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
738	C₂³×C₇	2₋¹⁺⁴	1	2	yes	—
739	C₂³×C₇	C₂⁵	1	1	yes	characteristic
740	C₂²×D₇	—	2	8	no	—
741	C₂²×D₇	—	2	1	no	—
742	C₂²×D₇	—	2	1	no	—
743	C₂²×D₇	—	2	1	no	—
744	C₂²×D₇	—	2	1	no	—
745	C₂²×D₇	—	2	1	no	—
746	C₂²×D₇	—	2	1	no	—
747	C₂²×D₇	—	2	1	no	—
748	C₂²×D₇	—	2	1	no	—
749	C₂²×D₇	—	2	1	no	—
750	C₂²×D₇	—	2	1	no	—
751	C₂²×D₇	—	2	1	no	—
752	C₂²×D₇	—	2	1	no	—
753	C₂²×D₇	—	4	4	no	—
754	C₂²×D₇	—	4	4	no	—
755	C₂²×D₇	—	4	4	no	—
756	C₂²×D₇	—	4	4	no	—
757	C₂²×D₇	—	4	4	no	—
758	C₂²×D₇	—	4	4	no	—
759	C₂²×D₇	H(5,𝔽₂)	1	2	yes	—
760	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
761	C₇×D₄	—	4	4	no	—
762	C₂×C₄×C₇	—	2	8	no	—
763	C₂×C₄×C₇	—	2	1	no	—
764	C₂×C₄×C₇	—	2	1	no	—
765	C₂×C₄×C₇	—	2	1	no	—
766	C₂×C₄×C₇	—	2	1	no	—
767	C₂×C₄×C₇	—	2	1	no	—
768	C₂×C₄×C₇	—	2	1	no	—
769	C₂×C₄×C₇	—	2	1	no	—
770	C₂×C₄×C₇	—	2	1	no	—
771	C₂×C₄×C₇	—	2	1	no	—
772	C₂×C₄×C₇	—	2	1	no	—
773	C₂×C₄×C₇	—	2	1	no	—
774	C₂×C₄×C₇	—	2	1	no	—
775	C₂×C₄×C₇	—	2	1	no	—
776	C₂×C₄×C₇	—	2	1	no	—
777	C₂×C₄×C₇	—	2	1	no	—
778	C₂×C₄×C₇	—	2	1	no	—
779	C₂×C₄×C₇	—	2	1	no	—
780	C₂×C₄×C₇	—	2	1	no	—
781	C₂×C₄×C₇	—	2	1	no	—
782	C₂×C₄×C₇	—	2	1	no	—
783	C₂×C₄×C₇	—	2	1	no	—
784	C₂×C₄×C₇	—	2	1	no	—
785	C₂×C₄×C₇	—	2	1	no	—
786	C₂×C₄×C₇	—	2	1	no	—
787	C₂×C₄×C₇	—	2	1	no	—
788	C₂×C₄×C₇	—	2	1	no	—
789	C₂×C₄×C₇	—	2	1	no	—
790	C₂×C₄×C₇	—	2	1	no	—
791	C₂×C₄×C₇	—	2	1	no	—
792	C₂×C₄×C₇	—	2	1	no	—
793	C₂×C₄×C₇	—	2	1	no	—
794	C₂×C₄×C₇	—	2	1	no	—
795	C₂×C₄×C₇	—	2	1	no	—
796	C₂×C₄×C₇	—	2	1	no	—
797	C₂×C₄×C₇	—	2	1	no	—
798	C₂×C₄×C₇	—	2	1	no	—
799	C₂×C₄×C₇	—	2	1	no	—
800	C₂×C₄×C₇	—	4	4	no	—
801	C₂×C₄×C₇	—	8	2	no	—
802	C₂×C₄×C₇	—	8	2	no	—
803	C₂×C₄×C₇	C₂×#41	1	2	yes	—
804	C₂×C₄×C₇	C₂×#41	1	2	yes	—
805	C₂²⋊D₇	—	8	2	no	—
806	C₂²⋊D₇	—	8	2	no	—
807	C₂×Dic₇	—	2	1	no	—
808	C₂×Dic₇	—	2	1	no	—
809	C₂×Dic₇	—	2	1	no	—
810	C₂×Dic₇	—	2	1	no	—
811	C₂×Dic₇	—	2	1	no	—
812	C₂×Dic₇	—	2	1	no	—
813	C₂×Dic₇	—	2	1	no	—
814	C₂×Dic₇	—	2	1	no	—
815	C₂×Dic₇	—	2	1	no	—
816	C₂×Dic₇	—	2	1	no	—
817	C₂×Dic₇	—	2	1	no	—
818	C₂×Dic₇	—	2	1	no	—
819	C₂×Dic₇	—	2	1	no	—
820	C₂×Dic₇	—	2	1	no	—
821	C₂×Dic₇	—	2	1	no	—
822	C₂×Dic₇	—	2	1	no	—
823	C₂×Dic₇	—	2	1	no	—
824	C₂×Dic₇	—	2	1	no	—
825	C₂×Dic₇	—	2	1	no	—
826	C₂×Dic₇	—	2	1	no	—
827	C₂×Dic₇	—	2	1	no	—
828	C₂×Dic₇	—	2	1	no	—
829	C₂×Dic₇	—	2	1	no	—
830	C₂×Dic₇	—	2	1	no	—
831	C₂×Dic₇	—	2	1	no	—
832	C₂×Dic₇	—	2	1	no	—
833	C₂×Dic₇	—	2	1	no	—
834	C₂×Dic₇	—	2	1	no	—
835	C₂×Dic₇	—	2	1	no	—
836	C₂×Dic₇	—	2	1	no	—
837	C₂×Dic₇	—	2	1	no	—
838	C₂×Dic₇	—	2	1	no	—
839	C₂×Dic₇	—	2	1	no	—
840	C₂×Dic₇	—	2	1	no	—
841	C₂×Dic₇	—	2	1	no	—
842	C₂×Dic₇	—	2	1	no	—
843	C₂×Dic₇	—	2	1	no	—
844	C₂×Dic₇	—	2	1	no	—
845	C₂×Dic₇	—	2	1	no	—
846	C₂×Dic₇	—	2	1	no	—
847	C₂×Dic₇	—	2	1	no	—
848	C₂×Dic₇	—	4	4	no	—
849	C₂×Dic₇	—	4	4	no	—
850	C₂×Dic₇	—	8	2	no	—
851	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
852	C₄×D₇	—	4	4	no	—
853	C₄×D₇	—	4	4	no	—
854	C₄×D₇	—	4	4	no	—
855	C₄×D₇	—	4	4	no	—
856	Dic₁₄	—	8	2	no	—
857	C₂⁵	—	7	1	no	—
858	C₂²×Q₈	—	7	1	no	—
859	C₂²×D₄	—	7	1	no	—
860	C₂²×D₄	—	7	1	no	—
861	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
862	C₂³×C₄	—	7	1	no	—
863	C₂³×C₄	—	7	1	no	—
864	C₂³×C₄	—	7	1	no	—
865	C₂³×C₄	—	7	1	no	—
866	C₂³×C₄	—	7	1	no	—
867	C₂³×C₄	—	7	1	no	—
868	C₂³×C₄	—	7	1	no	—
869	C₂³×C₄	—	28	2	no	—
870	C₂³×C₄	—	28	2	no	—
871	C₂³×C₄	—	28	2	no	—
872	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
873	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
874	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
875	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
876	#126	—	28	2	no	—
877	#125	—	28	2	no	—
878	#123	—	2	4	no	—
879	#123	—	28	2	no	—
880	#123	—	28	2	no	—
881	#123	—	28	2	no	—
882	C₂²⋊Q₈	—	28	2	no	—
883	C₂²⋊Q₈	—	28	2	no	—
884	C₂²⋊Q₈	—	28	2	no	—
885	C₂²⋊Q₈	—	28	2	no	—
886	#120	—	28	2	no	—
887	C₄×D₄	—	4	2	no	—
888	#117	—	14	4	no	—
889	#117	—	28	2	no	—
890	C₂×C₄⋊C₄	—	4	2	no	—
891	C₂×C₄⋊C₄	—	7	1	no	—
892	C₂×C₄⋊C₄	—	7	1	no	—
893	C₂×C₄⋊C₄	—	7	1	no	—
894	C₂×C₄⋊C₄	—	7	1	no	—
895	C₂×C₄⋊C₄	—	7	1	no	—
896	C₂×C₄⋊C₄	—	7	1	no	—
897	C₂×C₄⋊C₄	—	7	1	no	—
898	C₂×C₄⋊C₄	—	7	1	no	—
899	C₂×C₄⋊C₄	—	7	1	no	—
900	C₂×C₄⋊C₄	—	7	1	no	—
901	C₂×C₄⋊C₄	—	7	1	no	—
902	C₂×C₄⋊C₄	—	7	1	no	—
903	C₂×C₄⋊C₄	—	7	1	no	—
904	C₂×C₄⋊C₄	—	7	1	no	—
905	C₂×C₄⋊C₄	—	7	1	no	—
906	C₂×C₄⋊C₄	—	7	1	no	—
907	C₂×C₄⋊C₄	—	7	1	no	—
908	C₂×C₄⋊C₄	—	7	1	no	—
909	C₂×C₄⋊C₄	—	7	1	no	—
910	C₂×C₄⋊C₄	—	7	1	no	—
911	C₂×C₄⋊C₄	—	7	1	no	—
912	C₂×C₄⋊C₄	—	7	1	no	—
913	C₂×C₄⋊C₄	—	7	1	no	—
914	C₂×C₄⋊C₄	—	7	1	no	—
915	C₂×C₄⋊C₄	—	7	1	no	—
916	C₂×C₄⋊C₄	—	7	1	no	—
917	C₂×C₄⋊C₄	—	7	1	no	—
918	C₂×C₄⋊C₄	—	7	1	no	—
919	C₂×C₄⋊C₄	—	7	1	no	—
920	C₂×C₄⋊C₄	—	7	1	no	—
921	C₂×C₄⋊C₄	—	7	1	no	—
922	C₂×C₄⋊C₄	—	7	1	no	—
923	C₂×C₄⋊C₄	—	7	1	no	—
924	C₂×C₄⋊C₄	—	7	1	no	—
925	C₂×C₄⋊C₄	—	7	1	no	—
926	C₂×C₄⋊C₄	—	28	2	no	—
927	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	—	7	1	no	—
937	C₂×C₂²⋊C₄	—	7	1	no	—
938	C₂×C₂²⋊C₄	—	7	1	no	—
939	C₂×C₂²⋊C₄	—	7	1	no	—
940	C₂×C₂²⋊C₄	—	7	1	no	—
941	C₂×C₂²⋊C₄	—	7	1	no	—
942	C₂×C₂²⋊C₄	—	7	1	no	—
943	C₂×C₂²⋊C₄	—	7	1	no	—
944	C₂×C₂²⋊C₄	—	7	1	no	—
945	C₂×C₂²⋊C₄	—	7	1	no	—
946	C₂×C₂²⋊C₄	—	7	1	no	—
947	C₂×C₂²⋊C₄	—	7	1	no	—
948	C₂×C₂²⋊C₄	—	7	1	no	—
949	C₂×C₂²⋊C₄	—	7	1	no	—
950	C₂×C₂²⋊C₄	—	7	1	no	—
951	C₂×C₂²⋊C₄	—	7	1	no	—
952	C₂×C₂²⋊C₄	—	7	1	no	—
953	C₂×C₂²⋊C₄	—	7	1	no	—
954	C₂×C₂²⋊C₄	—	7	1	no	—
955	C₂×C₂²⋊C₄	—	7	1	no	—
956	C₂×C₂²⋊C₄	—	7	1	no	—
957	C₂×C₂²⋊C₄	—	7	1	no	—
958	C₂×C₂²⋊C₄	—	7	1	no	—
959	C₂×C₂²⋊C₄	—	7	1	no	—
960	C₂×C₂²⋊C₄	—	7	1	no	—
961	C₂×C₂²⋊C₄	—	7	1	no	—
962	C₂×C₂²⋊C₄	—	7	1	no	—
963	C₂×C₂²⋊C₄	—	7	1	no	—
964	C₂×C₂²⋊C₄	—	7	1	no	—
965	C₂×C₂²⋊C₄	—	7	1	no	—
966	C₂×C₂²⋊C₄	—	7	1	no	—
967	C₂×C₂²⋊C₄	—	7	1	no	—
968	C₂×C₂²⋊C₄	—	14	4	no	—
969	C₂×C₂²⋊C₄	—	28	2	no	—
970	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
978	C₂×C₄²	—	7	1	no	—
979	C₂×C₄²	—	7	1	no	—
980	C₂×C₄²	—	7	1	no	—
981	C₂×C₄²	—	7	1	no	—
982	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
983	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
984	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
985	#95	—	7	1	no	—
986	#95	—	7	1	no	—
987	#95	—	7	1	no	—
988	#95	—	7	1	no	—
989	#95	—	7	1	no	—
990	#95	—	7	1	no	—
991	#95	—	7	1	no	—
992	#95	—	7	1	no	—
993	#95	—	7	1	no	—
994	#95	—	7	1	no	—
995	#95	—	7	1	no	—
996	#95	—	7	1	no	—
997	#95	—	7	1	no	—
998	#95	—	7	1	no	—
999	#95	—	7	1	no	—
1000	#95	—	7	1	no	—
1001	#95	—	7	1	no	—
1002	#95	—	7	1	no	—
1003	#95	—	7	1	no	—
1004	#95	—	7	1	no	—
1005	#95	—	7	1	no	—
1006	#95	—	7	1	no	—
1007	#95	—	7	1	no	—
1008	#95	—	7	1	no	—
1009	#95	—	7	1	no	—
1010	#95	—	7	1	no	—
1011	#95	—	7	1	no	—
1012	#95	—	7	1	no	—
1013	#95	—	7	1	no	—
1014	#95	—	7	1	no	—
1015	#95	—	7	1	no	—
1016	#95	—	7	1	no	—
1017	#95	—	7	1	no	—
1018	#95	—	7	1	no	—
1019	#95	—	7	1	no	—
1020	#95	—	7	1	no	—
1021	#95	—	7	1	no	—
1022	#95	—	7	1	no	—
1023	#95	C₂²×D₇	1	1	yes	characteristic
1024	#95	C₂²×D₇	1	1	yes	characteristic
1025	#95	C₂²×D₇	1	1	yes	characteristic
1026	#95	C₂²×D₇	1	1	yes	characteristic
1027	#95	C₂²×D₇	1	1	yes	characteristic
1028	#95	C₂²×D₇	1	1	yes	characteristic
1029	#95	C₂²×D₇	1	1	yes	characteristic
1030	#95	C₂²×D₇	1	1	yes	characteristic
1031	#95	C₂²×D₇	1	1	yes	characteristic
1032	#95	C₂²×D₇	1	1	yes	characteristic
1033	C₂²×C₇	—	2	2	no	—
1034	C₂²×C₇	—	2	2	no	—
1035	C₂²×C₇	—	2	2	no	—
1036	C₂²×C₇	—	2	2	no	—
1037	C₂²×C₇	—	2	2	no	—
1038	C₂²×C₇	—	2	2	no	—
1039	C₂²×C₇	—	4	1	no	—
1040	C₂²×C₇	—	4	1	no	—
1041	C₂²×C₇	—	4	1	no	—
1042	C₂²×C₇	—	4	1	no	—
1043	C₂²×C₇	—	4	1	no	—
1044	C₂²×C₇	—	4	1	no	—
1045	C₂²×C₇	—	4	1	no	—
1046	C₂²×C₇	#539	1	4	yes	—
1047	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1048	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1049	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1050	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1052	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1053	C₂²×C₇	#585	1	1	yes	characteristic
1054	C₂×D₇	—	2	2	no	—
1055	C₂×D₇	—	2	2	no	—
1056	C₂×D₇	—	2	2	no	—
1057	C₂×D₇	—	2	2	no	—
1058	C₂×D₇	—	2	2	no	—
1059	C₂×D₇	—	2	2	no	—
1060	C₂×D₇	—	4	16	no	—
1061	C₂×D₇	—	4	1	no	—
1062	C₂×D₇	—	4	1	no	—
1063	C₂×D₇	—	4	1	no	—
1064	C₂×D₇	—	4	1	no	—
1065	C₂×D₇	—	4	1	no	—
1066	C₂×D₇	—	4	1	no	—
1067	C₂×D₇	—	4	1	no	—
1068	C₂×D₇	—	4	1	no	—
1069	C₄×C₇	—	2	2	no	—
1070	C₄×C₇	—	2	2	no	—
1071	C₄×C₇	—	4	1	no	—
1072	C₄×C₇	—	4	1	no	—
1073	C₄×C₇	—	4	1	no	—
1074	C₄×C₇	—	4	1	no	—
1075	C₄×C₇	—	4	1	no	—
1076	C₄×C₇	—	4	1	no	—
1077	C₄×C₇	—	4	1	no	—
1078	C₄×C₇	—	4	1	no	—
1079	C₄×C₇	—	4	1	no	—
1080	C₄×C₇	—	4	1	no	—
1081	C₄×C₇	—	4	1	no	—
1082	Dic₇	—	2	2	no	—
1083	Dic₇	—	4	1	no	—
1084	Dic₇	—	4	1	no	—
1085	Dic₇	—	4	1	no	—
1086	Dic₇	—	4	1	no	—
1087	Dic₇	—	4	1	no	—
1088	Dic₇	—	4	1	no	—
1089	Dic₇	—	4	1	no	—
1090	Dic₇	—	4	1	no	—
1091	Dic₇	—	4	1	no	—
1092	Dic₇	—	4	1	no	—
1093	Dic₇	—	4	1	no	—
1094	Dic₇	—	4	1	no	—
1095	Dic₇	—	4	1	no	—
1096	C₂⁴	—	7	1	no	—
1097	C₂⁴	—	7	1	no	—
1098	C₂⁴	—	14	2	no	—
1099	C₂⁴	—	14	2	no	—
1100	C₂⁴	—	14	2	no	—
1101	C₂⁴	—	14	2	no	—
1102	C₂⁴	—	14	2	no	—
1103	C₂⁴	—	28	1	no	—
1104	C₂⁴	—	28	1	no	—
1105	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1106	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1107	C₂×Q₈	—	14	2	no	—
1108	C₂×Q₈	—	28	1	no	—
1109	C₂×Q₈	—	28	1	no	—
1110	C₂×D₄	—	2	2	no	—
1111	C₂×D₄	—	2	2	no	—
1112	C₂×D₄	—	2	2	no	—
1113	C₂×D₄	—	14	2	no	—
1114	C₂×D₄	—	14	2	no	—
1115	C₂×D₄	—	28	1	no	—
1116	C₂×D₄	—	28	1	no	—
1117	C₂×D₄	—	28	1	no	—
1118	C₂×D₄	—	28	1	no	—
1119	C₂²×C₄	—	2	2	no	—
1120	C₂²×C₄	—	2	2	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	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	—	7	1	no	—
1131	C₂²×C₄	—	7	1	no	—
1132	C₂²×C₄	—	7	1	no	—
1133	C₂²×C₄	—	7	1	no	—
1134	C₂²×C₄	—	7	1	no	—
1135	C₂²×C₄	—	7	1	no	—
1136	C₂²×C₄	—	7	1	no	—
1137	C₂²×C₄	—	7	1	no	—
1138	C₂²×C₄	—	7	1	no	—
1139	C₂²×C₄	—	7	1	no	—
1140	C₂²×C₄	—	7	1	no	—
1141	C₂²×C₄	—	7	1	no	—
1142	C₂²×C₄	—	7	1	no	—
1143	C₂²×C₄	—	7	1	no	—
1144	C₂²×C₄	—	14	2	no	—
1145	C₂²×C₄	—	14	2	no	—
1146	C₂²×C₄	—	14	2	no	—
1147	C₂²×C₄	—	14	2	no	—
1148	C₂²×C₄	—	14	2	no	—
1149	C₂²×C₄	—	14	2	no	—
1150	C₂²×C₄	—	14	2	no	—
1151	C₂²×C₄	—	14	2	no	—
1152	C₂²×C₄	—	28	1	no	—
1153	C₂²×C₄	—	28	1	no	—
1154	C₂²×C₄	—	28	1	no	—
1155	C₂²×C₄	—	28	1	no	—
1156	C₂²×C₄	—	28	1	no	—
1157	C₂²×C₄	—	28	1	no	—
1158	C₂²×C₄	—	28	1	no	—
1159	C₂²×C₄	—	28	1	no	—
1160	C₂²×C₄	—	28	16	no	—
1161	C₂²×C₄	—	28	1	no	—
1162	C₂²×C₄	—	28	1	no	—
1163	C₂²×C₄	—	28	1	no	—
1164	C₂²×C₄	—	28	1	no	—
1165	C₂²×C₄	—	28	1	no	—
1166	C₂²×C₄	#1157	1	4	yes	—
1167	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1180	C₄⋊C₄	—	2	2	no	—
1181	C₄⋊C₄	—	2	2	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	4	1	no	—
1184	C₄⋊C₄	—	4	1	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	14	2	no	—
1190	C₄⋊C₄	—	14	2	no	—
1191	C₄⋊C₄	—	14	2	no	—
1192	C₄⋊C₄	—	14	2	no	—
1193	C₄⋊C₄	—	14	2	no	—
1194	C₄⋊C₄	—	14	2	no	—
1195	C₄⋊C₄	—	28	1	no	—
1196	C₄⋊C₄	—	28	1	no	—
1197	C₄⋊C₄	—	28	1	no	—
1198	C₄⋊C₄	—	28	1	no	—
1199	C₄⋊C₄	—	28	1	no	—
1200	C₄⋊C₄	—	28	1	no	—
1201	C₄⋊C₄	—	28	1	no	—
1202	C₄⋊C₄	—	28	1	no	—
1203	C₄⋊C₄	—	28	1	no	—
1204	C₄⋊C₄	—	28	1	no	—
1205	C₄⋊C₄	—	28	1	no	—
1206	C₄⋊C₄	—	28	1	no	—
1207	C₄⋊C₄	—	28	1	no	—
1208	C₄⋊C₄	—	28	1	no	—
1209	C₄⋊C₄	—	28	1	no	—
1210	C₄⋊C₄	—	28	1	no	—
1211	C₄⋊C₄	—	28	1	no	—
1212	C₄⋊C₄	—	28	1	no	—
1213	C₄⋊C₄	—	28	1	no	—
1214	C₄⋊C₄	—	28	1	no	—
1215	C₄⋊C₄	—	28	1	no	—
1216	C₄⋊C₄	—	28	1	no	—
1217	C₄⋊C₄	—	28	1	no	—
1218	C₄⋊C₄	—	28	1	no	—
1219	C₄⋊C₄	—	28	1	no	—
1220	C₄⋊C₄	—	28	1	no	—
1221	C₄⋊C₄	—	28	1	no	—
1222	C₄⋊C₄	—	28	1	no	—
1223	C₄⋊C₄	—	28	1	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	14	2	no	—
1233	C₂²⋊C₄	—	14	2	no	—
1234	C₂²⋊C₄	—	14	2	no	—
1235	C₂²⋊C₄	—	14	2	no	—
1236	C₂²⋊C₄	—	14	2	no	—
1237	C₂²⋊C₄	—	14	2	no	—
1238	C₂²⋊C₄	—	14	2	no	—
1239	C₂²⋊C₄	—	14	2	no	—
1240	C₂²⋊C₄	—	14	2	no	—
1241	C₂²⋊C₄	—	14	2	no	—
1242	C₂²⋊C₄	—	14	2	no	—
1243	C₂²⋊C₄	—	14	2	no	—
1244	C₂²⋊C₄	—	14	2	no	—
1245	C₂²⋊C₄	—	14	2	no	—
1246	C₂²⋊C₄	—	14	2	no	—
1247	C₂²⋊C₄	—	14	2	no	—
1248	C₂²⋊C₄	—	14	2	no	—
1249	C₂²⋊C₄	—	28	1	no	—
1250	C₂²⋊C₄	—	28	1	no	—
1251	C₂²⋊C₄	—	28	1	no	—
1252	C₂²⋊C₄	—	28	1	no	—
1253	C₂²⋊C₄	—	28	1	no	—
1254	C₂²⋊C₄	—	28	1	no	—
1255	C₂²⋊C₄	—	28	1	no	—
1256	C₂²⋊C₄	—	28	1	no	—
1257	C₂²⋊C₄	—	28	1	no	—
1258	C₂²⋊C₄	—	28	1	no	—
1259	C₂²⋊C₄	—	28	1	no	—
1260	C₂²⋊C₄	—	28	1	no	—
1261	C₂²⋊C₄	—	28	1	no	—
1262	C₂²⋊C₄	—	28	1	no	—
1263	C₂²⋊C₄	—	28	1	no	—
1264	C₄²	—	4	1	no	—
1265	C₄²	—	4	1	no	—
1266	C₄²	—	4	1	no	—
1267	C₄²	—	14	2	no	—
1268	C₄²	—	14	2	no	—
1269	C₄²	—	28	1	no	—
1270	C₄²	—	28	1	no	—
1271	C₂×C₇	—	2	4	no	—
1272	C₂×C₇	—	8	1	no	—
1273	C₂×C₇	C₂×#539	1	1	yes	characteristic
1274	C₂×C₇	#3492	1	1	yes	characteristic
1275	C₂×C₇	#3506	1	1	yes	characteristic
1276	C₂×C₇	#3532	1	1	yes	characteristic
1277	C₂×C₇	#3535	1	1	yes	characteristic
1278	C₂×C₇	#3535	1	1	yes	characteristic
1279	C₂×C₇	#3538	1	1	yes	characteristic
1280	D₇	—	4	2	no	—
1281	D₇	—	4	2	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	7	2	no	—
1294	C₂³	—	7	2	no	—
1295	C₂³	—	14	8	no	—
1296	C₂³	—	14	1	no	—
1297	C₂³	—	14	1	no	—
1298	C₂³	—	14	1	no	—
1299	C₂³	—	14	1	no	—
1300	C₂³	—	14	1	no	—
1301	C₂³	—	14	1	no	—
1302	C₂³	—	14	1	no	—
1303	C₂³	—	14	1	no	—
1304	C₂³	—	14	1	no	—
1305	C₂³	—	14	1	no	—
1306	C₂³	—	14	1	no	—
1307	C₂³	—	14	1	no	—
1308	C₂³	—	28	4	no	—
1309	C₂³	—	28	4	no	—
1310	C₂³	—	28	4	no	—
1311	C₂³	—	28	4	no	—
1312	C₂³	—	28	4	no	—
1313	C₂³	—	28	4	no	—
1314	C₂³	C₂×#1157	1	2	yes	—
1315	C₂³	#6548	1	2	yes	—
1316	C₂³	#6554	1	2	yes	—
1317	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1318	Q₈	—	56	2	no	—
1319	D₄	—	4	4	no	—
1320	D₄	—	56	2	no	—
1321	D₄	—	56	2	no	—
1322	C₂×C₄	—	2	8	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	7	2	no	—
1362	C₂×C₄	—	8	2	no	—
1363	C₂×C₄	—	8	2	no	—
1364	C₂×C₄	—	14	1	no	—
1365	C₂×C₄	—	14	1	no	—
1366	C₂×C₄	—	14	1	no	—
1367	C₂×C₄	—	14	1	no	—
1368	C₂×C₄	—	14	1	no	—
1369	C₂×C₄	—	14	1	no	—
1370	C₂×C₄	—	14	1	no	—
1371	C₂×C₄	—	14	1	no	—
1372	C₂×C₄	—	14	1	no	—
1373	C₂×C₄	—	14	1	no	—
1374	C₂×C₄	—	14	1	no	—
1375	C₂×C₄	—	14	1	no	—
1376	C₂×C₄	—	14	1	no	—
1377	C₂×C₄	—	14	1	no	—
1378	C₂×C₄	—	14	1	no	—
1379	C₂×C₄	—	14	1	no	—
1380	C₂×C₄	—	14	1	no	—
1381	C₂×C₄	—	14	1	no	—
1382	C₂×C₄	—	14	1	no	—
1383	C₂×C₄	—	14	1	no	—
1384	C₂×C₄	—	14	1	no	—
1385	C₂×C₄	—	14	1	no	—
1386	C₂×C₄	—	14	1	no	—
1387	C₂×C₄	—	14	1	no	—
1388	C₂×C₄	—	14	1	no	—
1389	C₂×C₄	—	14	1	no	—
1390	C₂×C₄	—	14	1	no	—
1391	C₂×C₄	—	14	1	no	—
1392	C₂×C₄	—	14	1	no	—
1393	C₂×C₄	—	14	1	no	—
1394	C₂×C₄	—	14	1	no	—
1395	C₂×C₄	—	14	1	no	—
1396	C₂×C₄	—	14	1	no	—
1397	C₂×C₄	—	14	1	no	—
1398	C₂×C₄	—	14	1	no	—
1399	C₂×C₄	—	14	1	no	—
1400	C₂×C₄	—	14	1	no	—
1401	C₂×C₄	—	14	1	no	—
1402	C₂×C₄	—	14	1	no	—
1403	C₂×C₄	—	14	1	no	—
1404	C₂×C₄	—	14	1	no	—
1405	C₂×C₄	—	28	4	no	—
1406	C₂×C₄	—	28	4	no	—
1407	C₂×C₄	—	28	4	no	—
1408	C₂×C₄	—	28	4	no	—
1409	C₂×C₄	—	28	4	no	—
1410	C₂×C₄	—	28	4	no	—
1411	C₂×C₄	—	56	2	no	—
1412	C₂×C₄	C₂×#1157	1	2	yes	—
1413	C₂×C₄	C₂×#1157	1	2	yes	—
1414	C₇	#36792	1	1	yes	characteristic, complemented, Sylow
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	14	2	no	—
1429	C₂²	—	14	2	no	—
1430	C₂²	—	14	2	no	—
1431	C₂²	—	14	2	no	—
1432	C₂²	—	14	2	no	—
1433	C₂²	—	14	2	no	—
1434	C₂²	—	28	16	no	—
1435	C₂²	—	28	1	no	—
1436	C₂²	—	28	1	no	—
1437	C₂²	—	28	1	no	—
1438	C₂²	—	28	1	no	—
1439	C₂²	—	28	1	no	—
1440	C₂²	—	28	1	no	—
1441	C₂²	—	28	1	no	—
1442	C₂²	—	28	1	no	—
1443	C₂²	#90255	1	4	yes	—
1444	C₂²	C₂²×#1157	1	1	yes	characteristic
1445	C₂²	C₂×#6548	1	1	yes	characteristic
1446	C₂²	C₂×#6554	1	1	yes	characteristic
1447	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1448	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1449	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1450	C₂²	#90620	1	1	yes	characteristic
1451	C₄	—	2	2	no	—
1452	C₄	—	2	2	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	14	2	no	—
1465	C₄	—	28	1	no	—
1466	C₄	—	28	1	no	—
1467	C₄	—	28	1	no	—
1468	C₄	—	28	1	no	—
1469	C₄	—	28	1	no	—
1470	C₄	—	28	1	no	—
1471	C₄	—	28	1	no	—
1472	C₄	—	28	1	no	—
1473	C₄	—	28	1	no	—
1474	C₄	—	28	1	no	—
1475	C₄	—	28	1	no	—
1476	C₄	—	28	1	no	—
1477	C₄	—	28	1	no	—
1478	C₂	—	2	4	no	—
1479	C₂	—	8	1	no	—
1480	C₂	—	28	2	no	—
1481	C₂	—	28	2	no	—
1482	C₂	C₂×#90255	1	1	yes	characteristic
1483	C₂	#11742959	1	1	yes	characteristic
1484	C₂	#11742970	1	1	yes	characteristic
1485	C₂	#11743378	1	1	yes	characteristic
1486	C₂	#11743426	1	1	yes	characteristic
1487	C₂	#11743503	1	1	yes	characteristic
1488	C₂	#11743529	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2322	C₂
prime radical	C₂×#6500	C₂²
hypercenter	#2322	D₇
hypocenter	C₇	#36792
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2322

Complements

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

N	H ≅ G/N	type
1. C₇×#2322	C₂	semidirect
3. #11740303	C₂	semidirect
5. #11739805	C₂	semidirect
6. C₂×#89761	C₂	semidirect
7. #11739602	C₂	semidirect
8. #11733727	C₂	semidirect
9. #11733720	C₂	semidirect
10. #11733707	C₂	semidirect
11. #11733564	C₂	semidirect
12. #11733398	C₂	semidirect
13. #11733377	C₂	semidirect
14. #11733220	C₂	semidirect
15. #11733119	C₂	semidirect
16. #11732877	C₂	semidirect
17. #11732858	C₂	semidirect
18. #11732693	C₂	semidirect
19. #11732689	C₂	semidirect
21. #11732231	C₂	semidirect
22. #11732100	C₂	semidirect
23. #11732076	C₂	semidirect
24. #11732012	C₂	semidirect
25. #11731986	C₂	semidirect
26. #11731983	C₂	semidirect
27. #11731949	C₂	semidirect
28. #11731574	C₂	semidirect
29. #11731512	C₂	semidirect
30. #11731041	C₂	semidirect
31. #11730946	C₂	semidirect
42. C₂×#6487	C₂²	semidirect
50. C₂×#6433	C₂²	semidirect
51. C₇×#389	C₂²	semidirect
52. C₇×#389	C₂²	semidirect
53. C₇×#388	C₂²	semidirect
54. C₇×#388	C₂²	semidirect
55. C₇×#387	C₂²	semidirect
56. C₇×#387	C₂²	semidirect
59. C₇×#385	C₂²	semidirect
60. C₇×#385	C₂²	semidirect
71. #89982	C₂²	semidirect
90. #89758	C₂²	semidirect
91. #89756	C₂²	semidirect
92. #89756	C₂²	semidirect
93. #89755	C₂²	semidirect
94. #89755	C₂²	semidirect
95. #89754	C₂²	semidirect
96. #89752	C₂²	semidirect
97. #89751	C₂²	semidirect
98. #89750	C₂²	semidirect
99. #89750	C₂²	semidirect
100. #89749	C₂²	semidirect
101. #89749	C₂²	semidirect
102. #89748	C₂²	semidirect
103. #89748	C₂²	semidirect
104. #89745	C₂²	semidirect
105. #89745	C₂²	semidirect
106. #89745	C₂²	semidirect
107. #89745	C₂²	semidirect
119. #89725	C₂²	semidirect
120. #89725	C₂²	semidirect
121. #89724	C₂²	semidirect
122. #89724	C₂²	semidirect
126. #89721	C₂²	semidirect
127. #89721	C₂²	semidirect
128. #89720	C₂²	semidirect
129. #89720	C₂²	semidirect
132. #89716	C₂²	semidirect
133. #89716	C₂²	semidirect
142. #89705	C₂²	semidirect
143. #89705	C₂²	semidirect
144. #89705	C₂²	semidirect
145. #89700	C₂²	semidirect
146. #89700	C₂²	semidirect
167. C₇⋊#401	C₂²	semidirect
168. #89433	C₂²	semidirect
169. #89432	C₂²	semidirect
170. #89432	C₂²	semidirect
171. #89432	C₂²	semidirect
172. #89431	C₂²	semidirect
173. #89431	C₂²	semidirect
174. #89430	C₂²	semidirect
175. #89430	C₂²	semidirect
176. #89430	C₂²	semidirect
177. #89429	C₂²	semidirect
178. #89429	C₂²	semidirect
179. #89429	C₂²	semidirect
180. #89429	C₂²	semidirect
181. #89429	C₂²	semidirect
182. #89428	C₂²	semidirect
183. #89427	C₂²	semidirect
184. #89426	C₂²	semidirect
185. #89419	C₂²	semidirect
186. #89418	C₂²	semidirect
392. #2322	D₇	semidirect
647. #389	C₂×D₇	semidirect
648. #389	C₂×D₇	semidirect
662. #388	C₂×D₇	semidirect
663. #388	C₂×D₇	semidirect
671. #387	C₂×D₇	semidirect
672. #387	C₂×D₇	semidirect
705. #385	C₂×D₇	semidirect
706. #385	C₂×D₇	semidirect
1414. C₇	#36792	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2322	2
#11740339	2
#11740303	2
#11739849	2
#11739805	2
C₂×#89761	2
#11739602	2
#11733727	2
#11733720	2
#11733707	2
#11733564	2
#11733398	2
#11733377	2
#11733220	2
#11733119	2
#11732877	2
#11732858	2
#11732693	2
#11732689	2
#11732381	2
#11732231	2
#11732100	2
#11732076	2
#11732012	2
#11731986	2
#11731983	2
#11731949	2
#11731574	2
#11731512	2
#11731041	2
#11730946	2
#36792	7