Subgroups — #13520783

Order 1792.

1536 conjugacy classes of subgroups.

The subgroup lattice has 1266 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2664	C₂	1	1	yes	maximal, characteristic
2	#11740534	C₂	1	1	yes	maximal, characteristic
3	Dic₇×#126	C₂	1	1	yes	maximal, characteristic
4	#11740487	C₂	1	1	yes	maximal, characteristic, complemented
5	Dic₇×#125	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735674	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735578	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735504	C₂	1	1	yes	maximal, characteristic
9	#11735463	C₂	1	1	yes	maximal, characteristic
10	#11735288	C₂	1	1	yes	maximal, characteristic, complemented
11	#11735279	C₂	1	1	yes	maximal, characteristic, complemented
12	#11735268	C₂	1	1	yes	maximal, characteristic, complemented
13	#11735186	C₂	1	1	yes	maximal, characteristic, complemented
14	#11735186	C₂	1	1	yes	maximal, characteristic, complemented
15	#11735185	C₂	1	1	yes	maximal, characteristic, complemented
16	#11735007	C₂	1	1	yes	maximal, characteristic
17	#11734906	C₂	1	1	yes	maximal, characteristic
18	#11734785	C₂	1	1	yes	maximal, characteristic
19	#11734781	C₂	1	1	yes	maximal, characteristic
20	#11734728	C₂	1	1	yes	maximal, characteristic
21	#11734727	C₂	1	1	yes	maximal, characteristic
22	#11733552	C₂	1	1	yes	maximal, characteristic, complemented
23	#11733552	C₂	1	1	yes	maximal, characteristic, complemented
24	#11733411	C₂	1	1	yes	maximal, characteristic, complemented
25	#11733407	C₂	1	1	yes	maximal, characteristic, complemented
26	#11733105	C₂	1	1	yes	maximal, characteristic
27	#11733101	C₂	1	1	yes	maximal, characteristic
28	#11732900	C₂	1	1	yes	maximal, characteristic
29	#11732896	C₂	1	1	yes	maximal, characteristic
30	#11731193	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#6450	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#126	C₂²	1	1	yes	characteristic
33	C₂×C₇×#125	C₂²	1	1	yes	characteristic
34	C₂×#6453	C₂²	1	1	yes	characteristic
35	C₂×#6450	C₂²	1	1	yes	characteristic
36	C₂×#6450	C₂²	1	1	yes	characteristic
37	C₂×#6450	C₂²	1	1	yes	characteristic
38	C₂×#6442	C₂²	1	1	yes	characteristic
39	C₂×#6440	C₂²	1	1	yes	characteristic
40	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
41	C₇×#400	C₂²	1	1	yes	characteristic
42	C₇×#399	C₂²	1	1	yes	characteristic
43	C₇×#398	C₂²	1	1	yes	characteristic
44	C₇×#398	C₂²	1	1	yes	characteristic
45	C₇×#398	C₂²	1	1	yes	characteristic
46	C₇×#397	C₂²	1	1	yes	characteristic
47	C₇×#396	C₂²	1	1	yes	characteristic
48	C₇×#396	C₂²	1	1	yes	characteristic
49	C₇×#389	C₂²	1	1	yes	characteristic
50	C₇×#389	C₂²	1	1	yes	characteristic
51	C₇×#388	C₂²	1	1	yes	characteristic
52	C₇×#388	C₂²	1	1	yes	characteristic
53	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
54	#89758	C₂²	1	1	yes	characteristic
55	#89758	C₂²	1	1	yes	characteristic
56	#89758	C₂²	1	1	yes	characteristic
57	#89758	C₂²	1	1	yes	characteristic
58	#89758	C₂²	1	1	yes	characteristic
59	#89757	C₂²	1	1	yes	characteristic
60	#89757	C₂²	1	1	yes	characteristic
61	#89757	C₂²	1	1	yes	characteristic
62	#89756	C₂²	1	1	yes	characteristic
63	#89756	C₂²	1	1	yes	characteristic
64	#89756	C₂²	1	1	yes	characteristic
65	#89756	C₂²	1	1	yes	characteristic
66	#89755	C₂²	1	1	yes	characteristic
67	#89755	C₂²	1	1	yes	characteristic
68	#89755	C₂²	1	1	yes	characteristic
69	#89754	C₂²	1	1	yes	characteristic
70	#89754	C₂²	1	1	yes	characteristic
71	#89754	C₂²	1	1	yes	characteristic
72	#89754	C₂²	1	1	yes	characteristic
73	#89753	C₂²	1	1	yes	characteristic
74	#89753	C₂²	1	1	yes	characteristic
75	#89753	C₂²	1	1	yes	characteristic
76	#89753	C₂²	1	1	yes	characteristic
77	#89753	C₂²	1	1	yes	characteristic
78	#89753	C₂²	1	1	yes	characteristic
79	#89753	C₂²	1	1	yes	characteristic
80	#89752	C₂²	1	1	yes	characteristic
81	#89752	C₂²	1	1	yes	characteristic
82	#89752	C₂²	1	1	yes	characteristic
83	#89752	C₂²	1	1	yes	characteristic
84	#89751	C₂²	1	1	yes	characteristic
85	#89751	C₂²	1	1	yes	characteristic
86	#89751	C₂²	1	1	yes	characteristic
87	#89751	C₂²	1	1	yes	characteristic
88	#89750	C₂²	1	1	yes	characteristic
89	#89750	C₂²	1	1	yes	characteristic
90	#89750	C₂²	1	1	yes	characteristic
91	#89750	C₂²	1	1	yes	characteristic
92	#89750	C₂²	1	1	yes	characteristic
93	#89750	C₂²	1	1	yes	characteristic
94	#89749	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
96	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
97	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
98	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
99	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
100	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
101	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
102	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
103	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
104	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
105	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
106	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
107	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
108	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
109	#89746	C₂²	1	1	yes	characteristic
110	#89725	C₂²	1	1	yes	characteristic
111	#89725	C₂²	1	1	yes	characteristic
112	#89725	C₂²	1	1	yes	characteristic
113	#89724	C₂²	1	1	yes	characteristic
114	#89724	C₂²	1	1	yes	characteristic
115	#89723	C₂²	1	1	yes	characteristic
116	#89723	C₂²	1	1	yes	characteristic
117	#89723	C₂²	1	1	yes	characteristic
118	#89723	C₂²	1	1	yes	characteristic
119	#89721	C₂²	1	1	yes	characteristic
120	#89720	C₂²	1	1	yes	characteristic
121	#89720	C₂²	1	1	yes	characteristic
122	#89720	C₂²	1	1	yes	characteristic
123	#89720	C₂²	1	1	yes	characteristic
124	#89719	C₂²	1	1	yes	characteristic
125	#89719	C₂²	1	1	yes	characteristic
126	#89717	C₂²	1	1	yes	characteristic
127	#89717	C₂²	1	1	yes	characteristic
128	#89716	C₂²	1	1	yes	characteristic
129	#89716	C₂²	1	1	yes	characteristic
130	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
131	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
132	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
133	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
134	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
135	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
136	#89709	C₂²	1	1	yes	characteristic
137	#89708	C₂²	1	1	yes	characteristic
138	#89705	C₂²	1	1	yes	characteristic
139	#89705	C₂²	1	1	yes	characteristic
140	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
141	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
142	C₄²×Dic₇	C₂²	1	1	yes	characteristic
143	C₄²×Dic₇	C₂²	1	1	yes	characteristic
144	C₄²×Dic₇	C₂²	1	1	yes	characteristic
145	#89701	C₂²	1	1	yes	characteristic
146	#89700	C₂²	1	1	yes	characteristic
147	C₇⋊#401	C₂²	1	1	yes	characteristic
148	C₇⋊#401	C₂²	1	1	yes	characteristic
149	#89433	C₂²	1	1	yes	characteristic
150	#89433	C₂²	1	1	yes	characteristic
151	#89432	C₂²	1	1	yes	characteristic
152	#89432	C₂²	1	1	yes	characteristic
153	#89432	C₂²	1	1	yes	characteristic
154	#89432	C₂²	1	1	yes	characteristic
155	#89431	C₂²	1	1	yes	characteristic
156	#89431	C₂²	1	1	yes	characteristic
157	#89430	C₂²	1	1	yes	characteristic
158	#89430	C₂²	1	1	yes	characteristic
159	#89430	C₂²	1	1	yes	characteristic
160	#89430	C₂²	1	1	yes	characteristic
161	#89429	C₂²	1	1	yes	characteristic
162	#89429	C₂²	1	1	yes	characteristic
163	#89429	C₂²	1	1	yes	characteristic
164	#89429	C₂²	1	1	yes	characteristic
165	#89428	C₂²	1	1	yes	characteristic
166	#89428	C₂²	1	1	yes	characteristic
167	#89427	C₂²	1	1	yes	characteristic
168	#89427	C₂²	1	1	yes	characteristic
169	#89427	C₂²	1	1	yes	characteristic
170	#89426	C₂²	1	1	yes	characteristic
171	#89425	C₂²	1	1	yes	characteristic
172	#89425	C₂²	1	1	yes	characteristic
173	#89424	C₂²	1	1	yes	characteristic
174	#89423	C₂²	1	1	yes	characteristic
175	#89421	C₂²	1	1	yes	characteristic
176	#89421	C₂²	1	1	yes	characteristic
177	#89421	C₂²	1	1	yes	characteristic
178	#89421	C₂²	1	1	yes	characteristic
179	#89421	C₂²	1	1	yes	characteristic
180	#89421	C₂²	1	1	yes	characteristic
181	#89421	C₂²	1	1	yes	characteristic
182	#89421	C₂²	1	1	yes	characteristic
183	#89421	C₂²	1	1	yes	characteristic
184	#89420	C₂²	1	1	yes	characteristic
185	#89420	C₂²	1	1	yes	characteristic
186	#89420	C₂²	1	1	yes	characteristic
187	#34604	—	7	1	no	maximal, Sylow
188	C₂³×Dic₇	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
191	C₇×#126	—	2	4	no	—
192	C₇×#125	—	2	4	no	—
193	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
238	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
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	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
281	#6453	—	2	4	no	—
282	#6450	—	2	4	no	—
283	#6450	—	2	4	no	—
284	#6450	—	2	4	no	—
285	#6442	—	2	4	no	—
286	#6440	—	2	4	no	—
287	C₄×Dic₁₄	—	2	4	no	—
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	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	#2666	—	7	1	no	—
353	#2666	—	7	1	no	—
354	#2664	—	7	1	no	—
355	#2664	D₇	1	1	yes	characteristic
356	#2655	—	7	1	no	—
357	#2655	—	7	1	no	—
358	#2655	—	7	1	no	—
359	#2655	—	7	1	no	—
360	#2654	—	7	1	no	—
361	#2654	—	7	1	no	—
362	#2650	—	7	1	no	—
363	#2650	—	7	1	no	—
364	#2637	—	7	1	no	—
365	#2637	—	7	1	no	—
366	#2634	—	7	1	no	—
367	#2634	—	7	1	no	—
368	#2402	—	7	1	no	—
369	#2402	—	7	1	no	—
370	#2402	—	7	1	no	—
371	#2401	—	7	1	no	—
372	#2401	—	7	1	no	—
373	#2399	—	7	1	no	—
374	#2396	—	7	1	no	—
375	#2396	—	7	1	no	—
376	C₄×#125	—	7	1	no	—
377	C₄×#125	—	7	1	no	—
378	C₄×#126	—	7	1	no	—
379	C₄×#126	—	7	1	no	—
380	#2298	—	7	1	no	—
381	#2295	—	7	1	no	—
382	C₄²×Q₈	—	7	1	no	—
383	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₇	—	2	2	no	—
399	C₂²×Dic₇	—	2	2	no	—
400	C₂²×Dic₇	—	2	2	no	—
401	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
417	C₂×Dic₁₄	—	2	2	no	—
418	C₂×Dic₁₄	—	2	2	no	—
419	C₂×Dic₁₄	—	2	2	no	—
420	C₂×Dic₁₄	—	2	2	no	—
421	C₂×Dic₁₄	—	4	1	no	—
422	C₂×Dic₁₄	—	4	1	no	—
423	C₇×C₄⋊C₄	—	2	2	no	—
424	C₇×C₄⋊C₄	—	2	2	no	—
425	C₇×C₄⋊C₄	—	2	2	no	—
426	C₇×C₄⋊C₄	—	2	2	no	—
427	C₇×C₄⋊C₄	—	2	2	no	—
428	C₇×C₄⋊C₄	—	2	2	no	—
429	C₇×C₄⋊C₄	—	2	2	no	—
430	C₇×C₄⋊C₄	—	2	2	no	—
431	C₇×C₄⋊C₄	—	2	2	no	—
432	C₇×C₄⋊C₄	—	2	2	no	—
433	C₇×C₄⋊C₄	—	2	2	no	—
434	C₇×C₄⋊C₄	—	2	2	no	—
435	C₇×C₄⋊C₄	—	2	2	no	—
436	C₇×C₄⋊C₄	—	4	1	no	—
437	C₇×C₄⋊C₄	—	4	1	no	—
438	C₇×C₂²⋊C₄	—	2	2	no	—
439	C₇×C₂²⋊C₄	—	2	2	no	—
440	C₇×C₂²⋊C₄	—	2	2	no	—
441	C₇×C₂²⋊C₄	—	2	2	no	—
442	C₇×C₂²⋊C₄	—	2	2	no	—
443	C₇×C₂²⋊C₄	—	4	1	no	—
444	C₇×C₂²⋊C₄	—	4	1	no	—
445	C₄²×C₇	—	4	1	no	—
446	C₄²×C₇	—	4	1	no	—
447	C₄²×C₇	#41	1	4	yes	—
448	C₂²⋊Dic₇	—	2	2	no	—
449	C₂²⋊Dic₇	—	2	2	no	—
450	C₂²⋊Dic₇	—	2	2	no	—
451	C₂²⋊Dic₇	—	4	1	no	—
452	C₂²⋊Dic₇	—	4	1	no	—
453	C₂²⋊Dic₇	—	4	1	no	—
454	C₂²⋊Dic₇	—	4	1	no	—
455	C₄⋊Dic₇	—	2	2	no	—
456	C₄⋊Dic₇	—	2	2	no	—
457	C₄⋊Dic₇	—	2	2	no	—
458	C₄⋊Dic₇	—	2	2	no	—
459	C₄⋊Dic₇	—	2	2	no	—
460	C₄⋊Dic₇	—	4	1	no	—
461	C₄⋊Dic₇	—	4	1	no	—
462	C₄⋊Dic₇	—	4	1	no	—
463	C₄⋊Dic₇	—	4	1	no	—
464	C₄⋊Dic₇	—	4	1	no	—
465	C₄⋊Dic₇	—	4	1	no	—
466	C₄⋊Dic₇	—	4	1	no	—
467	C₄⋊Dic₇	—	4	1	no	—
468	Dic₇⋊C₄	—	2	2	no	—
469	Dic₇⋊C₄	—	2	2	no	—
470	Dic₇⋊C₄	—	2	2	no	—
471	Dic₇⋊C₄	—	2	2	no	—
472	Dic₇⋊C₄	—	2	2	no	—
473	Dic₇⋊C₄	—	2	2	no	—
474	Dic₇⋊C₄	—	2	2	no	—
475	Dic₇⋊C₄	—	2	2	no	—
476	Dic₇⋊C₄	—	2	2	no	—
477	Dic₇⋊C₄	—	2	2	no	—
478	Dic₇⋊C₄	—	2	2	no	—
479	Dic₇⋊C₄	—	2	2	no	—
480	Dic₇⋊C₄	—	2	2	no	—
481	Dic₇⋊C₄	—	2	2	no	—
482	Dic₇⋊C₄	—	4	1	no	—
483	Dic₇⋊C₄	—	4	1	no	—
484	Dic₇⋊C₄	—	4	1	no	—
485	Dic₇⋊C₄	—	4	1	no	—
486	Dic₇⋊C₄	—	4	1	no	—
487	Dic₇⋊C₄	—	4	1	no	—
488	C₄×Dic₇	—	2	2	no	—
489	C₄×Dic₇	—	2	2	no	—
490	C₄×Dic₇	—	2	2	no	—
491	C₄×Dic₇	—	2	2	no	—
492	C₄×Dic₇	—	2	2	no	—
493	C₄×Dic₇	—	2	2	no	—
494	C₄×Dic₇	—	2	2	no	—
495	C₄×Dic₇	—	2	2	no	—
496	C₄×Dic₇	—	2	2	no	—
497	C₄×Dic₇	—	2	2	no	—
498	C₄×Dic₇	—	2	2	no	—
499	C₄×Dic₇	—	2	2	no	—
500	C₄×Dic₇	—	2	2	no	—
501	C₄×Dic₇	—	2	2	no	—
502	C₄×Dic₇	—	2	2	no	—
503	C₄×Dic₇	—	2	2	no	—
504	C₄×Dic₇	—	2	2	no	—
505	C₄×Dic₇	—	4	1	no	—
506	C₄×Dic₇	—	4	1	no	—
507	C₄×Dic₇	—	4	1	no	—
508	C₄×Dic₇	—	4	1	no	—
509	C₄×Dic₇	#41	1	4	yes	—
510	C₄×Dic₇	#41	1	4	yes	—
511	C₂×#126	—	7	1	no	—
512	C₂×#126	C₂×D₇	1	1	yes	characteristic
513	C₂×#125	—	7	1	no	—
514	C₂×#125	C₂×D₇	1	1	yes	characteristic
515	C₂×C₄×Q₈	—	7	1	no	—
516	C₂×C₄×Q₈	—	7	1	no	—
517	C₂×C₄×Q₈	—	7	1	no	—
518	C₂×C₄×Q₈	—	7	1	no	—
519	C₂×#117	—	7	1	no	—
520	#401	—	7	1	no	—
521	#401	—	7	1	no	—
522	#400	—	7	1	no	—
523	#400	—	7	1	no	—
524	#400	—	7	1	no	—
525	#400	—	7	1	no	—
526	#400	—	7	1	no	—
527	#400	—	7	1	no	—
528	#400	—	7	1	no	—
529	#400	—	7	1	no	—
530	#400	—	7	1	no	—
531	#400	—	7	1	no	—
532	#400	—	7	1	no	—
533	#400	—	7	1	no	—
534	#400	—	7	1	no	—
535	#400	—	7	1	no	—
536	#400	—	7	1	no	—
537	#400	—	7	1	no	—
538	#400	—	7	1	no	—
539	#400	—	7	1	no	—
540	#400	—	7	1	no	—
541	#400	C₂×D₇	1	1	yes	characteristic
542	#399	—	7	1	no	—
543	#399	C₂×D₇	1	1	yes	characteristic
544	#398	—	7	1	no	—
545	#398	—	7	1	no	—
546	#398	—	7	1	no	—
547	#398	—	7	1	no	—
548	#398	—	7	1	no	—
549	#398	—	7	1	no	—
550	#398	—	7	1	no	—
551	#398	—	7	1	no	—
552	#398	—	7	1	no	—
553	#398	—	7	1	no	—
554	#398	—	7	1	no	—
555	#398	—	7	1	no	—
556	#398	—	7	1	no	—
557	#398	—	7	1	no	—
558	#398	—	7	1	no	—
559	#398	—	7	1	no	—
560	#398	—	7	1	no	—
561	#398	C₂×D₇	1	1	yes	characteristic
562	#398	C₂×D₇	1	1	yes	characteristic
563	#398	C₂×D₇	1	1	yes	characteristic
564	#397	—	7	1	no	—
565	#397	—	7	1	no	—
566	#397	—	7	1	no	—
567	#397	—	7	1	no	—
568	#397	—	7	1	no	—
569	#397	C₂×D₇	1	1	yes	characteristic
570	#396	—	7	1	no	—
571	#396	—	7	1	no	—
572	#396	—	7	1	no	—
573	#396	—	7	1	no	—
574	#396	C₂×D₇	1	1	yes	characteristic
575	#396	C₂×D₇	1	1	yes	characteristic
576	#395	—	7	1	no	—
577	#395	—	7	1	no	—
578	#395	—	7	1	no	—
579	#395	—	7	1	no	—
580	#395	—	7	1	no	—
581	#395	—	7	1	no	—
582	#393	—	7	1	no	—
583	#393	—	7	1	no	—
584	#391	—	7	1	no	—
585	#391	—	7	1	no	—
586	#389	—	7	1	no	—
587	#389	—	7	1	no	—
588	#389	—	7	1	no	—
589	#389	—	7	1	no	—
590	#389	C₂×D₇	1	1	yes	characteristic
591	#389	C₂×D₇	1	1	yes	characteristic
592	#388	—	7	1	no	—
593	#388	—	7	1	no	—
594	#388	—	7	1	no	—
595	#388	—	7	1	no	—
596	#388	—	7	1	no	—
597	#388	—	7	1	no	—
598	#388	—	7	1	no	—
599	#388	—	7	1	no	—
600	#388	C₂×D₇	1	1	yes	characteristic
601	#388	C₂×D₇	1	1	yes	characteristic
602	#387	—	7	1	no	—
603	#387	—	7	1	no	—
604	#387	—	7	1	no	—
605	#387	—	7	1	no	—
606	#387	—	7	1	no	—
607	#387	—	7	1	no	—
608	#387	—	7	1	no	—
609	#387	—	7	1	no	—
610	#387	—	7	1	no	—
611	#387	—	7	1	no	—
612	#387	—	7	1	no	—
613	#387	—	7	1	no	—
614	#387	—	7	1	no	—
615	#387	—	7	1	no	—
616	#387	—	7	1	no	—
617	#387	—	7	1	no	—
618	#387	—	7	1	no	—
619	#387	—	7	1	no	—
620	#387	—	7	1	no	—
621	#387	—	7	1	no	—
622	#387	—	7	1	no	—
623	#387	—	7	1	no	—
624	#383	—	7	1	no	—
625	#383	—	7	1	no	—
626	#382	—	7	1	no	—
627	#382	—	7	1	no	—
628	C₄×C₄⋊C₄	—	7	1	no	—
629	C₄×C₄⋊C₄	—	7	1	no	—
630	C₄×C₄⋊C₄	—	7	1	no	—
631	C₄×C₄⋊C₄	—	7	1	no	—
632	C₄×C₄⋊C₄	—	7	1	no	—
633	C₄×C₄⋊C₄	—	7	1	no	—
634	C₄×C₄⋊C₄	—	7	1	no	—
635	C₄×C₄⋊C₄	—	7	1	no	—
636	C₄×C₄⋊C₄	—	7	1	no	—
637	C₄×C₄⋊C₄	—	7	1	no	—
638	C₄×C₄⋊C₄	—	7	1	no	—
639	C₄×C₄⋊C₄	—	7	1	no	—
640	C₄×C₄⋊C₄	—	7	1	no	—
641	C₄×C₄⋊C₄	—	7	1	no	—
642	C₄×C₄⋊C₄	—	7	1	no	—
643	C₄×C₄⋊C₄	—	7	1	no	—
644	C₄×C₄⋊C₄	—	7	1	no	—
645	C₄×C₄⋊C₄	—	7	1	no	—
646	C₄×C₄⋊C₄	—	7	1	no	—
647	C₄×C₄⋊C₄	—	7	1	no	—
648	C₄×C₄⋊C₄	—	7	1	no	—
649	C₄×C₄⋊C₄	—	7	1	no	—
650	C₄×C₄⋊C₄	—	7	1	no	—
651	C₄×C₄⋊C₄	—	7	1	no	—
652	C₄×C₄⋊C₄	—	7	1	no	—
653	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
654	C₄×C₂²⋊C₄	—	7	1	no	—
655	C₄×C₂²⋊C₄	—	7	1	no	—
656	C₄×C₂²⋊C₄	—	7	1	no	—
657	C₄×C₂²⋊C₄	—	7	1	no	—
658	C₄×C₂²⋊C₄	—	7	1	no	—
659	C₄×C₂²⋊C₄	—	7	1	no	—
660	#376	—	7	1	no	—
661	#376	—	7	1	no	—
662	#376	—	7	1	no	—
663	C₄³	—	7	1	no	—
664	C₄³	—	7	1	no	—
665	C₄³	—	7	1	no	—
666	C₂³×C₇	—	2	1	no	—
667	C₂³×C₇	—	2	1	no	—
668	C₂³×C₇	—	2	1	no	—
669	C₂³×C₇	—	2	1	no	—
670	C₂³×C₇	—	2	1	no	—
671	C₂³×C₇	—	2	1	no	—
672	C₂³×C₇	—	2	1	no	—
673	C₂³×C₇	C₂⁵	1	1	yes	characteristic
674	C₂×C₄×C₇	—	2	1	no	—
675	C₂×C₄×C₇	—	2	1	no	—
676	C₂×C₄×C₇	—	2	1	no	—
677	C₂×C₄×C₇	—	2	1	no	—
678	C₂×C₄×C₇	—	2	1	no	—
679	C₂×C₄×C₇	—	2	1	no	—
680	C₂×C₄×C₇	—	2	1	no	—
681	C₂×C₄×C₇	—	2	1	no	—
682	C₂×C₄×C₇	—	2	1	no	—
683	C₂×C₄×C₇	—	2	1	no	—
684	C₂×C₄×C₇	—	2	1	no	—
685	C₂×C₄×C₇	—	2	1	no	—
686	C₂×C₄×C₇	—	2	1	no	—
687	C₂×C₄×C₇	—	2	1	no	—
688	C₂×C₄×C₇	—	2	1	no	—
689	C₂×C₄×C₇	—	2	1	no	—
690	C₂×C₄×C₇	—	2	1	no	—
691	C₂×C₄×C₇	—	2	1	no	—
692	C₂×C₄×C₇	—	2	1	no	—
693	C₂×C₄×C₇	—	2	1	no	—
694	C₂×C₄×C₇	—	2	1	no	—
695	C₂×C₄×C₇	—	2	1	no	—
696	C₂×C₄×C₇	—	2	1	no	—
697	C₂×C₄×C₇	—	2	1	no	—
698	C₂×C₄×C₇	—	2	1	no	—
699	C₂×C₄×C₇	—	2	1	no	—
700	C₂×C₄×C₇	—	2	1	no	—
701	C₂×C₄×C₇	—	2	1	no	—
702	C₂×C₄×C₇	—	2	1	no	—
703	C₂×C₄×C₇	—	2	1	no	—
704	C₂×C₄×C₇	—	2	1	no	—
705	C₂×C₄×C₇	—	2	1	no	—
706	C₂×C₄×C₇	—	2	1	no	—
707	C₂×C₄×C₇	—	2	1	no	—
708	C₂×C₄×C₇	—	2	1	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	C₂×#41	1	2	yes	—
712	C₂×C₄×C₇	C₂×#41	1	2	yes	—
713	C₂×C₄×C₇	C₂×#41	1	2	yes	—
714	C₂×C₄×C₇	C₂×#41	1	2	yes	—
715	C₂×C₄×C₇	C₂×#41	1	2	yes	—
716	C₂×Dic₇	—	2	1	no	—
717	C₂×Dic₇	—	2	1	no	—
718	C₂×Dic₇	—	2	1	no	—
719	C₂×Dic₇	—	2	1	no	—
720	C₂×Dic₇	—	2	1	no	—
721	C₂×Dic₇	—	2	1	no	—
722	C₂×Dic₇	—	2	1	no	—
723	C₂×Dic₇	—	2	1	no	—
724	C₂×Dic₇	—	2	1	no	—
725	C₂×Dic₇	—	2	1	no	—
726	C₂×Dic₇	—	2	1	no	—
727	C₂×Dic₇	—	2	1	no	—
728	C₂×Dic₇	—	2	1	no	—
729	C₂×Dic₇	—	2	1	no	—
730	C₂×Dic₇	—	2	1	no	—
731	C₂×Dic₇	—	2	1	no	—
732	C₂×Dic₇	—	2	1	no	—
733	C₂×Dic₇	—	2	1	no	—
734	C₂×Dic₇	—	2	1	no	—
735	C₂×Dic₇	—	2	1	no	—
736	C₂×Dic₇	—	2	1	no	—
737	C₂×Dic₇	—	2	1	no	—
738	C₂×Dic₇	—	2	1	no	—
739	C₂×Dic₇	—	2	1	no	—
740	C₂×Dic₇	—	2	1	no	—
741	C₂×Dic₇	—	2	1	no	—
742	C₂×Dic₇	—	2	1	no	—
743	C₂×Dic₇	—	2	1	no	—
744	C₂×Dic₇	—	2	1	no	—
745	C₂×Dic₇	—	2	1	no	—
746	C₂×Dic₇	—	2	1	no	—
747	C₂×Dic₇	—	2	1	no	—
748	C₂×Dic₇	—	2	1	no	—
749	C₂×Dic₇	—	2	1	no	—
750	C₂×Dic₇	—	2	1	no	—
751	C₂×Dic₇	—	2	1	no	—
752	C₂×Dic₇	—	2	1	no	—
753	C₂×Dic₇	—	2	1	no	—
754	C₂×Dic₇	—	2	1	no	—
755	C₂×Dic₇	—	2	1	no	—
756	C₂×Dic₇	—	2	1	no	—
757	C₂×Dic₇	—	2	1	no	—
758	C₂×Dic₇	—	4	4	no	—
759	C₂×Dic₇	C₂×#41	1	2	yes	—
760	C₂×Dic₇	C₂×#41	1	2	yes	—
761	C₂×Dic₇	C₂×#41	1	2	yes	—
762	C₂×Dic₇	C₂×#41	1	2	yes	—
763	C₂×Dic₇	2₋¹⁺⁴	1	2	yes	—
764	C₂×Dic₇	2₋¹⁺⁴	1	2	yes	—
765	Dic₁₄	—	2	8	no	—
766	Dic₁₄	—	4	4	no	—
767	C₂²×Q₈	—	7	1	no	—
768	C₂²×Q₈	—	7	1	no	—
769	C₂³×C₄	—	7	1	no	—
770	#126	—	2	4	no	—
771	#126	—	14	4	no	—
772	#125	—	2	4	no	—
773	#125	—	14	4	no	—
774	C₄×Q₈	—	14	4	no	—
775	C₄×Q₈	—	14	4	no	—
776	C₄×Q₈	—	14	4	no	—
777	C₄×Q₈	—	14	4	no	—
778	#117	—	14	4	no	—
779	C₂×C₄⋊C₄	—	7	1	no	—
780	C₂×C₄⋊C₄	—	7	1	no	—
781	C₂×C₄⋊C₄	—	7	1	no	—
782	C₂×C₄⋊C₄	—	7	1	no	—
783	C₂×C₄⋊C₄	—	7	1	no	—
784	C₂×C₄⋊C₄	—	7	1	no	—
785	C₂×C₄⋊C₄	—	7	1	no	—
786	C₂×C₄⋊C₄	—	7	1	no	—
787	C₂×C₄⋊C₄	—	7	1	no	—
788	C₂×C₄⋊C₄	—	7	1	no	—
789	C₂×C₄⋊C₄	—	7	1	no	—
790	C₂×C₄⋊C₄	—	7	1	no	—
791	C₂×C₄⋊C₄	—	7	1	no	—
792	C₂×C₄⋊C₄	—	7	1	no	—
793	C₂×C₄⋊C₄	—	7	1	no	—
794	C₂×C₄⋊C₄	—	7	1	no	—
795	C₂×C₄⋊C₄	—	7	1	no	—
796	C₂×C₄⋊C₄	—	7	1	no	—
797	C₂×C₄⋊C₄	—	7	1	no	—
798	C₂×C₄⋊C₄	—	7	1	no	—
799	C₂×C₄⋊C₄	—	7	1	no	—
800	C₂×C₄⋊C₄	—	7	1	no	—
801	C₂×C₄⋊C₄	—	7	1	no	—
802	C₂×C₄⋊C₄	—	7	1	no	—
803	C₂×C₄⋊C₄	—	7	1	no	—
804	C₂×C₄⋊C₄	—	7	1	no	—
805	C₂×C₄⋊C₄	—	7	1	no	—
806	C₂×C₄⋊C₄	—	7	1	no	—
807	C₂×C₄⋊C₄	—	7	1	no	—
808	C₂×C₄⋊C₄	—	7	1	no	—
809	C₂×C₄⋊C₄	—	7	1	no	—
810	C₂×C₄⋊C₄	—	7	1	no	—
811	C₂×C₄⋊C₄	—	7	1	no	—
812	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
815	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
824	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
825	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
826	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
827	C₂×C₂²⋊C₄	—	7	1	no	—
828	C₂×C₂²⋊C₄	—	7	1	no	—
829	C₂×C₂²⋊C₄	—	7	1	no	—
830	C₂×C₂²⋊C₄	—	7	1	no	—
831	C₂×C₂²⋊C₄	—	7	1	no	—
832	C₂×C₂²⋊C₄	—	7	1	no	—
833	C₂×C₂²⋊C₄	—	7	1	no	—
834	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
835	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
836	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
837	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
838	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
839	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
840	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
841	C₂×C₄²	—	7	1	no	—
842	C₂×C₄²	—	7	1	no	—
843	C₂×C₄²	—	7	1	no	—
844	C₂×C₄²	—	7	1	no	—
845	C₂×C₄²	—	7	1	no	—
846	C₂×C₄²	—	7	1	no	—
847	C₂×C₄²	—	7	1	no	—
848	C₂×C₄²	—	7	1	no	—
849	C₂×C₄²	—	7	1	no	—
850	C₂×C₄²	—	7	1	no	—
851	C₂×C₄²	—	7	1	no	—
852	C₂×C₄²	—	7	1	no	—
853	C₂×C₄²	—	7	1	no	—
854	C₂×C₄²	—	7	1	no	—
855	C₂×C₄²	—	7	1	no	—
856	C₂×C₄²	—	7	1	no	—
857	C₂×C₄²	—	7	1	no	—
858	C₂×C₄²	—	7	1	no	—
859	C₂×C₄²	—	7	1	no	—
860	C₂×C₄²	—	7	1	no	—
861	C₂×C₄²	—	7	1	no	—
862	C₂×C₄²	—	7	1	no	—
863	C₂×C₄²	—	7	1	no	—
864	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
865	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
866	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
867	#95	—	7	1	no	—
868	#95	—	7	1	no	—
869	#95	—	7	1	no	—
870	#95	—	7	1	no	—
871	#95	—	7	1	no	—
872	#95	—	7	1	no	—
873	#95	—	7	1	no	—
874	#95	—	7	1	no	—
875	#95	—	7	1	no	—
876	#95	—	7	1	no	—
877	#95	—	7	1	no	—
878	#95	—	7	1	no	—
879	#95	—	7	1	no	—
880	#95	—	7	1	no	—
881	#95	—	7	1	no	—
882	#95	—	7	1	no	—
883	#95	—	7	1	no	—
884	#95	—	7	1	no	—
885	#95	—	7	1	no	—
886	#95	—	7	1	no	—
887	#95	—	7	1	no	—
888	#95	—	7	1	no	—
889	#95	—	7	1	no	—
890	#95	—	7	1	no	—
891	#95	—	7	1	no	—
892	#95	—	7	1	no	—
893	#95	—	7	1	no	—
894	#95	—	7	1	no	—
895	#95	—	7	1	no	—
896	#95	—	7	1	no	—
897	#95	—	7	1	no	—
898	#95	—	7	1	no	—
899	#95	—	7	1	no	—
900	#95	—	7	1	no	—
901	#95	—	7	1	no	—
902	#95	—	7	1	no	—
903	#95	—	7	1	no	—
904	#95	—	7	1	no	—
905	#95	—	7	1	no	—
906	#95	—	7	1	no	—
907	#95	—	7	1	no	—
908	#95	—	7	1	no	—
909	#95	—	7	1	no	—
910	#95	—	7	1	no	—
911	#95	—	7	1	no	—
912	#95	—	7	1	no	—
913	#95	—	7	1	no	—
914	#95	—	7	1	no	—
915	#95	—	7	1	no	—
916	#95	—	7	1	no	—
917	#95	—	7	1	no	—
918	#95	—	7	1	no	—
919	#95	—	7	1	no	—
920	#95	—	7	1	no	—
921	#95	C₂²×D₇	1	1	yes	characteristic
922	#95	C₂²×D₇	1	1	yes	characteristic
923	#95	C₂²×D₇	1	1	yes	characteristic
924	#95	C₂²×D₇	1	1	yes	characteristic
925	#95	C₂²×D₇	1	1	yes	characteristic
926	#95	C₂²×D₇	1	1	yes	characteristic
927	#95	C₂²×D₇	1	1	yes	characteristic
928	#95	C₂²×D₇	1	1	yes	characteristic
929	#95	C₂²×D₇	1	1	yes	characteristic
930	#95	C₂²×D₇	1	1	yes	characteristic
931	C₂²×C₇	—	4	1	no	—
932	C₂²×C₇	—	4	1	no	—
933	C₂²×C₇	—	4	1	no	—
934	C₂²×C₇	—	4	1	no	—
935	C₂²×C₇	—	4	1	no	—
936	C₂²×C₇	—	4	1	no	—
937	C₂²×C₇	—	4	1	no	—
938	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
939	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
940	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
941	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
942	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
943	C₂²×C₇	#585	1	1	yes	characteristic
944	C₂²×C₇	#585	1	1	yes	characteristic
945	C₄×C₇	—	2	2	no	—
946	C₄×C₇	—	2	2	no	—
947	C₄×C₇	—	2	2	no	—
948	C₄×C₇	—	2	2	no	—
949	C₄×C₇	—	2	2	no	—
950	C₄×C₇	—	4	1	no	—
951	C₄×C₇	—	4	1	no	—
952	C₄×C₇	—	4	1	no	—
953	C₄×C₇	—	4	1	no	—
954	C₄×C₇	—	4	1	no	—
955	C₄×C₇	—	4	1	no	—
956	C₄×C₇	—	4	1	no	—
957	C₄×C₇	—	4	1	no	—
958	C₄×C₇	—	4	1	no	—
959	Dic₇	—	2	2	no	—
960	Dic₇	—	2	2	no	—
961	Dic₇	—	2	2	no	—
962	Dic₇	—	4	1	no	—
963	Dic₇	—	4	1	no	—
964	Dic₇	—	4	1	no	—
965	Dic₇	—	4	1	no	—
966	Dic₇	—	4	1	no	—
967	Dic₇	—	4	1	no	—
968	Dic₇	—	4	1	no	—
969	Dic₇	—	4	1	no	—
970	Dic₇	—	4	1	no	—
971	Dic₇	—	4	1	no	—
972	Dic₇	—	4	1	no	—
973	Dic₇	—	4	1	no	—
974	Dic₇	#541	1	4	yes	—
975	C₂⁴	C₂³×D₇	1	1	yes	characteristic
976	C₂×Q₈	—	14	2	no	—
977	C₂×Q₈	—	14	2	no	—
978	C₂×Q₈	—	14	2	no	—
979	C₂×Q₈	—	14	2	no	—
980	C₂×Q₈	—	28	1	no	—
981	C₂×Q₈	—	28	1	no	—
982	C₂²×C₄	—	7	1	no	—
983	C₂²×C₄	—	7	1	no	—
984	C₂²×C₄	—	7	1	no	—
985	C₂²×C₄	—	7	1	no	—
986	C₂²×C₄	—	7	1	no	—
987	C₂²×C₄	—	7	1	no	—
988	C₂²×C₄	—	7	1	no	—
989	C₂²×C₄	—	7	1	no	—
990	C₂²×C₄	—	7	1	no	—
991	C₂²×C₄	—	7	1	no	—
992	C₂²×C₄	—	7	1	no	—
993	C₂²×C₄	—	7	1	no	—
994	C₂²×C₄	—	7	1	no	—
995	C₂²×C₄	—	7	1	no	—
996	C₂²×C₄	—	7	1	no	—
997	C₂²×C₄	—	7	1	no	—
998	C₂²×C₄	—	14	2	no	—
999	C₂²×C₄	—	14	2	no	—
1000	C₂²×C₄	—	14	2	no	—
1001	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1002	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1003	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1004	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1005	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1006	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1007	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1008	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1009	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1010	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1011	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1012	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1013	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1014	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	2	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	2	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	4	1	no	—
1029	C₄⋊C₄	—	4	1	no	—
1030	C₄⋊C₄	—	14	2	no	—
1031	C₄⋊C₄	—	14	2	no	—
1032	C₄⋊C₄	—	14	2	no	—
1033	C₄⋊C₄	—	14	2	no	—
1034	C₄⋊C₄	—	14	2	no	—
1035	C₄⋊C₄	—	14	2	no	—
1036	C₄⋊C₄	—	14	2	no	—
1037	C₄⋊C₄	—	14	2	no	—
1038	C₄⋊C₄	—	14	2	no	—
1039	C₄⋊C₄	—	14	2	no	—
1040	C₄⋊C₄	—	14	2	no	—
1041	C₄⋊C₄	—	14	2	no	—
1042	C₄⋊C₄	—	14	2	no	—
1043	C₄⋊C₄	—	14	2	no	—
1044	C₄⋊C₄	—	14	2	no	—
1045	C₄⋊C₄	—	14	2	no	—
1046	C₄⋊C₄	—	14	2	no	—
1047	C₄⋊C₄	—	14	2	no	—
1048	C₄⋊C₄	—	14	2	no	—
1049	C₄⋊C₄	—	28	1	no	—
1050	C₄⋊C₄	—	28	1	no	—
1051	C₄⋊C₄	—	28	1	no	—
1052	C₄⋊C₄	—	28	1	no	—
1053	C₄⋊C₄	—	28	1	no	—
1054	C₄⋊C₄	—	28	1	no	—
1055	C₄⋊C₄	—	28	1	no	—
1056	C₄⋊C₄	—	28	1	no	—
1057	C₄⋊C₄	—	28	1	no	—
1058	C₄⋊C₄	—	28	1	no	—
1059	C₄⋊C₄	—	28	1	no	—
1060	C₄⋊C₄	—	28	1	no	—
1061	C₄⋊C₄	—	28	1	no	—
1062	C₄⋊C₄	—	28	1	no	—
1063	C₂²⋊C₄	—	2	2	no	—
1064	C₂²⋊C₄	—	2	2	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	4	1	no	—
1069	C₂²⋊C₄	—	4	1	no	—
1070	C₂²⋊C₄	—	14	2	no	—
1071	C₂²⋊C₄	—	14	2	no	—
1072	C₂²⋊C₄	—	14	2	no	—
1073	C₂²⋊C₄	—	28	1	no	—
1074	C₂²⋊C₄	—	28	1	no	—
1075	C₂²⋊C₄	—	28	1	no	—
1076	C₂²⋊C₄	—	28	1	no	—
1077	C₄²	—	4	1	no	—
1078	C₄²	—	4	1	no	—
1079	C₄²	—	7	4	no	—
1080	C₄²	—	7	4	no	—
1081	C₄²	—	14	2	no	—
1082	C₄²	—	14	2	no	—
1083	C₄²	—	14	2	no	—
1084	C₄²	—	14	2	no	—
1085	C₄²	—	14	2	no	—
1086	C₄²	—	14	2	no	—
1087	C₄²	—	14	2	no	—
1088	C₄²	—	14	2	no	—
1089	C₄²	—	14	2	no	—
1090	C₄²	—	14	2	no	—
1091	C₄²	—	14	2	no	—
1092	C₄²	—	14	2	no	—
1093	C₄²	—	14	2	no	—
1094	C₄²	—	14	2	no	—
1095	C₄²	—	14	2	no	—
1096	C₄²	—	14	2	no	—
1097	C₄²	—	14	2	no	—
1098	C₄²	—	28	1	no	—
1099	C₄²	—	28	1	no	—
1100	C₄²	—	28	1	no	—
1101	C₄²	—	28	1	no	—
1102	C₄²	#1159	1	4	yes	—
1103	C₂×C₇	—	8	1	no	—
1104	C₂×C₇	#3444	1	1	yes	characteristic
1105	C₂×C₇	C₂×#541	1	1	yes	characteristic
1106	C₂×C₇	#3455	1	1	yes	characteristic
1107	C₂×C₇	#3461	1	1	yes	characteristic
1108	C₂×C₇	#3461	1	1	yes	characteristic
1109	C₂×C₇	#3461	1	1	yes	characteristic
1110	C₂×C₇	#3461	1	1	yes	characteristic
1111	C₂³	—	2	1	no	—
1112	C₂³	—	2	1	no	—
1113	C₂³	—	2	1	no	—
1114	C₂³	—	2	1	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	2	1	no	—
1117	C₂³	—	2	1	no	—
1118	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1119	Q₈	—	14	8	no	—
1120	Q₈	—	28	4	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	7	2	no	—
1159	C₂×C₄	—	7	2	no	—
1160	C₂×C₄	—	7	2	no	—
1161	C₂×C₄	—	7	2	no	—
1162	C₂×C₄	—	7	2	no	—
1163	C₂×C₄	—	7	2	no	—
1164	C₂×C₄	—	14	1	no	—
1165	C₂×C₄	—	14	1	no	—
1166	C₂×C₄	—	14	1	no	—
1167	C₂×C₄	—	14	1	no	—
1168	C₂×C₄	—	14	1	no	—
1169	C₂×C₄	—	14	1	no	—
1170	C₂×C₄	—	14	1	no	—
1171	C₂×C₄	—	14	1	no	—
1172	C₂×C₄	—	14	1	no	—
1173	C₂×C₄	—	14	1	no	—
1174	C₂×C₄	—	14	1	no	—
1175	C₂×C₄	—	14	1	no	—
1176	C₂×C₄	—	14	1	no	—
1177	C₂×C₄	—	14	1	no	—
1178	C₂×C₄	—	14	1	no	—
1179	C₂×C₄	—	14	1	no	—
1180	C₂×C₄	—	14	1	no	—
1181	C₂×C₄	—	14	1	no	—
1182	C₂×C₄	—	14	1	no	—
1183	C₂×C₄	—	14	1	no	—
1184	C₂×C₄	—	14	1	no	—
1185	C₂×C₄	—	14	1	no	—
1186	C₂×C₄	—	14	1	no	—
1187	C₂×C₄	—	14	1	no	—
1188	C₂×C₄	—	14	1	no	—
1189	C₂×C₄	—	14	1	no	—
1190	C₂×C₄	—	14	1	no	—
1191	C₂×C₄	—	14	1	no	—
1192	C₂×C₄	—	14	1	no	—
1193	C₂×C₄	—	14	1	no	—
1194	C₂×C₄	—	14	1	no	—
1195	C₂×C₄	—	14	1	no	—
1196	C₂×C₄	—	14	1	no	—
1197	C₂×C₄	—	14	1	no	—
1198	C₂×C₄	—	14	1	no	—
1199	C₂×C₄	—	14	1	no	—
1200	C₂×C₄	—	14	1	no	—
1201	C₂×C₄	—	14	1	no	—
1202	C₂×C₄	—	14	1	no	—
1203	C₂×C₄	—	14	1	no	—
1204	C₂×C₄	—	14	1	no	—
1205	C₂×C₄	—	14	1	no	—
1206	C₂×C₄	—	28	4	no	—
1207	C₂×C₄	C₂×#1159	1	2	yes	—
1208	C₂×C₄	C₂×#1159	1	2	yes	—
1209	C₂×C₄	C₂×#1159	1	2	yes	—
1210	C₂×C₄	D₇×#41	1	2	yes	—
1211	C₂×C₄	D₇×#41	1	2	yes	—
1212	C₇	#34604	1	1	yes	characteristic, complemented, Sylow
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	1	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	4	1	no	—
1217	C₂²	—	4	1	no	—
1218	C₂²	—	4	1	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	C₂²×#1159	1	1	yes	characteristic
1221	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1222	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1223	C₂²	#90618	1	1	yes	characteristic
1224	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1225	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1226	C₂²	#90620	1	1	yes	characteristic
1227	C₄	—	2	2	no	—
1228	C₄	—	2	2	no	—
1229	C₄	—	2	2	no	—
1230	C₄	—	2	2	no	—
1231	C₄	—	2	2	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	1	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	1	no	—
1240	C₄	—	4	1	no	—
1241	C₄	—	7	4	no	—
1242	C₄	—	14	2	no	—
1243	C₄	—	14	2	no	—
1244	C₄	—	14	2	no	—
1245	C₄	—	28	1	no	—
1246	C₄	—	28	1	no	—
1247	C₄	—	28	1	no	—
1248	C₄	—	28	1	no	—
1249	C₄	—	28	1	no	—
1250	C₄	—	28	1	no	—
1251	C₄	—	28	1	no	—
1252	C₄	—	28	1	no	—
1253	C₄	—	28	1	no	—
1254	C₄	—	28	1	no	—
1255	C₄	—	28	1	no	—
1256	C₄	—	28	1	no	—
1257	C₂	—	8	1	no	—
1258	C₂	#11743287	1	1	yes	characteristic
1259	C₂	#11743407	1	1	yes	characteristic
1260	C₂	#11743433	1	1	yes	characteristic
1261	C₂	#11743495	1	1	yes	characteristic
1262	C₂	#11743497	1	1	yes	characteristic
1263	C₂	#11743564	1	1	yes	characteristic
1264	C₂	D₇×#541	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2664	C₂
prime radical	C₂⁴×C₇	C₂⁴
hypercenter	#2664	D₇
hypocenter	C₇	#34604
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2664

Complements

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

N	H ≅ G/N	type
4. #11740487	C₂	semidirect
5. Dic₇×#125	C₂	semidirect
6. #11735674	C₂	semidirect
7. #11735578	C₂	semidirect
10. #11735288	C₂	semidirect
11. #11735279	C₂	semidirect
12. #11735268	C₂	semidirect
13. #11735186	C₂	semidirect
14. #11735186	C₂	semidirect
15. #11735185	C₂	semidirect
22. #11733552	C₂	semidirect
23. #11733552	C₂	semidirect
24. #11733411	C₂	semidirect
25. #11733407	C₂	semidirect
30. #11731193	C₂	semidirect
31. C₄×#6450	C₂	semidirect
1212. C₇	#34604	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2664	2
#11740534	2
Dic₇×#126	2
#11740487	2
Dic₇×#125	2
#11735674	2
#11735578	2
#11735504	2
#11735463	2
#11735288	2
#11735279	2
#11735268	2
#11735186	2
#11735185	2
#11735007	2
#11734906	2
#11734785	2
#11734781	2
#11734728	2
#11734727	2
#11733552	2
#11733411	2
#11733407	2
#11733105	2
#11733101	2
#11732900	2
#11732896	2
#11731193	2
C₄×#6450	2
#34604	7