Subgroups — #11743486

Order 896.

1336 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	#90402	C₂	1	1	yes	maximal, characteristic, complemented
3	#90396	C₂	1	1	yes	maximal, characteristic, complemented
4	#90395	C₂	1	1	yes	maximal, characteristic, complemented
5	#90395	C₂	1	1	yes	maximal, characteristic, complemented
6	#90374	C₂	1	1	yes	maximal, characteristic, complemented
7	#90369	C₂	1	1	yes	maximal, characteristic, complemented
8	#90367	C₂	1	1	yes	maximal, characteristic, complemented
9	#90365	C₂	1	1	yes	maximal, characteristic, complemented
10	#90357	C₂	1	1	yes	maximal, characteristic, complemented
11	#90348	C₂	1	1	yes	maximal, characteristic, complemented
12	#90345	C₂	1	1	yes	maximal, characteristic, complemented
13	#90344	C₂	1	1	yes	maximal, characteristic, complemented
14	#90328	C₂	1	1	yes	maximal, characteristic, complemented
15	#90321	C₂	1	1	yes	maximal, characteristic, complemented
16	#90311	C₂	1	1	yes	maximal, characteristic, complemented
17	#90301	C₂	1	1	yes	maximal, characteristic, complemented
18	#90300	C₂	1	1	yes	maximal, characteristic, complemented
19	#90300	C₂	1	1	yes	maximal, characteristic, complemented
20	#90298	C₂	1	1	yes	maximal, characteristic, complemented
21	#90296	C₂	1	1	yes	maximal, characteristic, complemented
22	#90283	C₂	1	1	yes	maximal, characteristic, complemented
23	#90280	C₂	1	1	yes	maximal, characteristic, complemented
24	D₇×#120	C₂	1	1	yes	maximal, characteristic, complemented
25	D₇×#120	C₂	1	1	yes	maximal, characteristic, complemented
26	#90247	C₂	1	1	yes	maximal, characteristic, complemented
27	#90245	C₂	1	1	yes	maximal, characteristic, complemented
28	#90241	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×D₂₈	C₂	1	1	yes	maximal, characteristic, complemented
30	#90185	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#6445	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×D₇	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
34	C₂×#1161	C₂²	1	1	yes	characteristic, complemented
35	C₂×#1159	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
44	C₂×#1157	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₂₈	C₂²	1	1	yes	characteristic, complemented
46	C₂²×D₂₈	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₂₈	C₂²	1	1	yes	characteristic, complemented
48	C₇×#126	C₂²	1	1	yes	characteristic, complemented
49	C₇×#126	C₂²	1	1	yes	characteristic, complemented
50	C₇×#124	C₂²	1	1	yes	characteristic, complemented
51	C₇×#124	C₂²	1	1	yes	characteristic, complemented
52	C₇×#123	C₂²	1	1	yes	characteristic, complemented
53	C₇×#123	C₂²	1	1	yes	characteristic, complemented
54	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₇×#121	C₂²	1	1	yes	characteristic, complemented
56	C₇×#121	C₂²	1	1	yes	characteristic, complemented
57	C₇×#121	C₂²	1	1	yes	characteristic, complemented
58	C₇×#120	C₂²	1	1	yes	characteristic, complemented
59	C₇×#120	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
61	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
63	#6516	C₂²	1	1	yes	characteristic, complemented
64	#6516	C₂²	1	1	yes	characteristic, complemented
65	#6510	C₂²	1	1	yes	characteristic, complemented
66	#6510	C₂²	1	1	yes	characteristic, complemented
67	#6509	C₂²	1	1	yes	characteristic, complemented
68	#6503	C₂²	1	1	yes	characteristic, complemented
69	#6503	C₂²	1	1	yes	characteristic, complemented
70	#6503	C₂²	1	1	yes	characteristic, complemented
71	#6502	C₂²	1	1	yes	characteristic, complemented
72	#6502	C₂²	1	1	yes	characteristic, complemented
73	#6502	C₂²	1	1	yes	characteristic, complemented
74	#6501	C₂²	1	1	yes	characteristic, complemented
75	#6501	C₂²	1	1	yes	characteristic, complemented
76	#6500	C₂²	1	1	yes	characteristic
77	#6500	C₂²	1	1	yes	characteristic, complemented
78	#6500	C₂²	1	1	yes	characteristic, complemented
79	#6500	C₂²	1	1	yes	characteristic, complemented
80	#6500	C₂²	1	1	yes	characteristic, complemented
81	#6500	C₂²	1	1	yes	characteristic, complemented
82	#6500	C₂²	1	1	yes	characteristic, complemented
83	#6500	C₂²	1	1	yes	characteristic, complemented
84	#6500	C₂²	1	1	yes	characteristic, complemented
85	#6500	C₂²	1	1	yes	characteristic, complemented
86	#6498	C₂²	1	1	yes	characteristic, complemented
87	#6493	C₂²	1	1	yes	characteristic, complemented
88	#6493	C₂²	1	1	yes	characteristic, complemented
89	#6493	C₂²	1	1	yes	characteristic, complemented
90	#6493	C₂²	1	1	yes	characteristic, complemented
91	#6492	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
95	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
96	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
97	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
98	#6487	C₂²	1	1	yes	characteristic, complemented
99	#6461	C₂²	1	1	yes	characteristic, complemented
100	#6461	C₂²	1	1	yes	characteristic, complemented
101	#6461	C₂²	1	1	yes	characteristic, complemented
102	#6460	C₂²	1	1	yes	characteristic, complemented
103	#6459	C₂²	1	1	yes	characteristic, complemented
104	#6459	C₂²	1	1	yes	characteristic, complemented
105	#6458	C₂²	1	1	yes	characteristic, complemented
106	#6458	C₂²	1	1	yes	characteristic, complemented
107	#6458	C₂²	1	1	yes	characteristic, complemented
108	#6458	C₂²	1	1	yes	characteristic, complemented
109	#6458	C₂²	1	1	yes	characteristic, complemented
110	#6458	C₂²	1	1	yes	characteristic, complemented
111	#6458	C₂²	1	1	yes	characteristic, complemented
112	#6457	C₂²	1	1	yes	characteristic, complemented
113	#6457	C₂²	1	1	yes	characteristic, complemented
114	#6457	C₂²	1	1	yes	characteristic, complemented
115	#6457	C₂²	1	1	yes	characteristic, complemented
116	#6457	C₂²	1	1	yes	characteristic, complemented
117	#6457	C₂²	1	1	yes	characteristic, complemented
118	#6457	C₂²	1	1	yes	characteristic, complemented
119	#6456	C₂²	1	1	yes	characteristic, complemented
120	#6456	C₂²	1	1	yes	characteristic, complemented
121	#6456	C₂²	1	1	yes	characteristic, complemented
122	#6455	C₂²	1	1	yes	characteristic, complemented
123	#6449	C₂²	1	1	yes	characteristic, complemented
124	#6449	C₂²	1	1	yes	characteristic, complemented
125	#6448	C₂²	1	1	yes	characteristic, complemented
126	#6448	C₂²	1	1	yes	characteristic, complemented
127	#6448	C₂²	1	1	yes	characteristic, complemented
128	#6448	C₂²	1	1	yes	characteristic, complemented
129	#6448	C₂²	1	1	yes	characteristic, complemented
130	#6448	C₂²	1	1	yes	characteristic, complemented
131	#6447	C₂²	1	1	yes	characteristic, complemented
132	#6447	C₂²	1	1	yes	characteristic, complemented
133	#6447	C₂²	1	1	yes	characteristic, complemented
134	#6447	C₂²	1	1	yes	characteristic, complemented
135	#6447	C₂²	1	1	yes	characteristic, complemented
136	#6447	C₂²	1	1	yes	characteristic, complemented
137	#6447	C₂²	1	1	yes	characteristic, complemented
138	#6447	C₂²	1	1	yes	characteristic, complemented
139	#6447	C₂²	1	1	yes	characteristic, complemented
140	#6447	C₂²	1	1	yes	characteristic, complemented
141	#6447	C₂²	1	1	yes	characteristic, complemented
142	#6446	C₂²	1	1	yes	characteristic, complemented
143	#6446	C₂²	1	1	yes	characteristic, complemented
144	#6446	C₂²	1	1	yes	characteristic, complemented
145	#6446	C₂²	1	1	yes	characteristic, complemented
146	#6446	C₂²	1	1	yes	characteristic, complemented
147	#6445	C₂²	1	1	yes	characteristic
148	#6445	C₂²	1	1	yes	characteristic
149	#6445	C₂²	1	1	yes	characteristic, complemented
150	#6445	C₂²	1	1	yes	characteristic, complemented
151	#6445	C₂²	1	1	yes	characteristic, complemented
152	#6445	C₂²	1	1	yes	characteristic, complemented
153	#6445	C₂²	1	1	yes	characteristic, complemented
154	#6445	C₂²	1	1	yes	characteristic, complemented
155	#6445	C₂²	1	1	yes	characteristic, complemented
156	#6445	C₂²	1	1	yes	characteristic, complemented
157	#6445	C₂²	1	1	yes	characteristic, complemented
158	#6445	C₂²	1	1	yes	characteristic, complemented
159	#6445	C₂²	1	1	yes	characteristic, complemented
160	#6445	C₂²	1	1	yes	characteristic, complemented
161	#6445	C₂²	1	1	yes	characteristic, complemented
162	#6445	C₂²	1	1	yes	characteristic, complemented
163	#6445	C₂²	1	1	yes	characteristic, complemented
164	#6445	C₂²	1	1	yes	characteristic, complemented
165	#6445	C₂²	1	1	yes	characteristic, complemented
166	#6445	C₂²	1	1	yes	characteristic, complemented
167	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	#6442	C₂²	1	1	yes	characteristic, complemented
177	#6442	C₂²	1	1	yes	characteristic, complemented
178	#6440	C₂²	1	1	yes	characteristic, complemented
179	#6439	C₂²	1	1	yes	characteristic, complemented
180	#6438	C₂²	1	1	yes	characteristic, complemented
181	#6438	C₂²	1	1	yes	characteristic, complemented
182	#6437	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
185	C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
186	#6435	C₂²	1	1	yes	characteristic, complemented
187	#3532	—	7	1	no	maximal, Sylow
188	C₂⁴×C₇	C₂³	1	1	yes	characteristic
189	C₂³×D₇	—	4	2	no	—
190	C₂³×D₇	—	4	2	no	—
191	C₂³×D₇	—	4	2	no	—
192	C₂³×D₇	C₂³	1	1	yes	characteristic
193	C₂³×D₇	C₂³	1	1	yes	characteristic
194	C₂³×D₇	C₂³	1	1	yes	characteristic
195	C₂³×D₇	C₂³	1	1	yes	characteristic
196	C₂³×D₇	C₂³	1	1	yes	characteristic
197	C₂³×D₇	C₂³	1	1	yes	characteristic
198	C₂³×D₇	C₂³	1	1	yes	characteristic
199	C₂³×D₇	C₂³	1	1	yes	characteristic
200	C₂³×D₇	C₂³	1	1	yes	characteristic
201	C₂³×D₇	C₂³	1	1	yes	characteristic, complemented
202	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic, complemented
203	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×D₄	C₂³	1	1	yes	characteristic, complemented
210	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
211	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
212	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic, complemented
213	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic, complemented
214	C₂×C₂²⋊D₇	—	4	2	no	—
215	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic, complemented
232	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic, complemented
233	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic, complemented
234	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic, complemented
235	C₂²×Dic₇	C₂³	1	1	yes	characteristic
236	C₂²×Dic₇	C₂³	1	1	yes	characteristic, complemented
237	#1161	—	4	2	no	—
238	#1159	—	4	2	no	—
239	D₄×D₇	—	4	2	no	—
240	D₄×D₇	—	4	2	no	—
241	D₄×D₇	—	4	2	no	—
242	D₄×D₇	—	4	2	no	—
243	D₄×D₇	—	4	2	no	—
244	D₄×D₇	—	4	2	no	—
245	D₄×D₇	—	4	2	no	—
246	D₄×D₇	—	4	2	no	—
247	#1157	—	4	2	no	—
248	C₂×D₂₈	—	4	2	no	—
249	C₂×D₂₈	—	4	2	no	—
250	C₂×D₂₈	—	4	2	no	—
251	C₂×D₂₈	C₂³	1	1	yes	characteristic
252	C₂×D₂₈	C₂³	1	1	yes	characteristic
253	C₂×D₂₈	C₂³	1	1	yes	characteristic
254	C₂×D₂₈	C₂³	1	1	yes	characteristic
255	C₂×D₂₈	C₂³	1	1	yes	characteristic
256	C₂×D₂₈	C₂³	1	1	yes	characteristic
257	C₂×D₂₈	C₂³	1	1	yes	characteristic
258	C₂×D₂₈	C₂³	1	1	yes	characteristic
259	C₂×D₂₈	C₂³	1	1	yes	characteristic
260	C₂×D₂₈	C₂³	1	1	yes	characteristic
261	C₂×D₂₈	C₂³	1	1	yes	characteristic
262	C₂×D₂₈	C₂³	1	1	yes	characteristic
263	C₂×D₂₈	C₂³	1	1	yes	characteristic
264	C₂×D₂₈	C₂³	1	1	yes	characteristic
265	C₂×D₂₈	C₂³	1	1	yes	characteristic, complemented
266	C₂×D₂₈	C₂³	1	1	yes	characteristic, complemented
267	C₂×D₂₈	C₂³	1	1	yes	characteristic, complemented
268	C₂×D₂₈	C₂³	1	1	yes	characteristic, complemented
269	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
271	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
276	C₂×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
277	C₂×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
278	C₂×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
279	C₂×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
280	C₂×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
281	C₂×Dic₁₄	C₂³	1	1	yes	characteristic, complemented
282	C₂×Dic₁₄	C₂³	1	1	yes	characteristic, complemented
283	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
284	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
285	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
286	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
287	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
288	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
289	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
300	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
301	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
302	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
303	C₄²×C₇	C₂³	1	1	yes	characteristic, complemented
304	C₄²×C₇	C₂³	1	1	yes	characteristic, complemented
305	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
306	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
307	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
308	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
309	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
310	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
311	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
312	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
313	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
333	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
334	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
335	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
336	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
337	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
338	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
339	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
340	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
341	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
342	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
343	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
344	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
345	C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
346	C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
347	C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
348	C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
349	Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
350	Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
351	Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
352	Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
353	Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
354	Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
355	Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
356	Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
357	C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
358	C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
359	C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
360	C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
361	H(3,𝔽₄)	—	7	1	no	—
362	#560	—	7	1	no	—
363	#560	—	7	1	no	—
364	#560	—	7	1	no	—
365	#551	—	7	1	no	—
366	#551	—	7	1	no	—
367	#551	—	7	1	no	—
368	#546	—	7	1	no	—
369	#546	—	7	1	no	—
370	#546	—	7	1	no	—
371	#546	—	7	1	no	—
372	#546	—	7	1	no	—
373	#546	—	7	1	no	—
374	D₄²	—	7	1	no	—
375	D₄²	—	7	1	no	—
376	D₄²	—	7	1	no	—
377	#538	—	7	1	no	—
378	#538	—	7	1	no	—
379	#538	—	7	1	no	—
380	#538	—	7	1	no	—
381	#538	—	7	1	no	—
382	#538	D₇	1	1	yes	characteristic, complemented
383	#535	—	7	1	no	—
384	#535	—	7	1	no	—
385	#535	—	7	1	no	—
386	#534	—	7	1	no	—
387	#534	—	7	1	no	—
388	#534	—	7	1	no	—
389	C₂×#120	—	7	1	no	—
390	C₂×#120	—	7	1	no	—
391	C₂×#120	—	7	1	no	—
392	C₂³×C₇	—	2	2	no	—
393	C₂³×C₇	—	4	1	no	—
394	C₂³×C₇	—	4	1	no	—
395	C₂³×C₇	C₂⁴	1	1	yes	characteristic
396	C₂³×C₇	C₂⁴	1	1	yes	characteristic
397	C₂³×C₇	C₂⁴	1	1	yes	characteristic
398	C₂³×C₇	C₂⁴	1	1	yes	characteristic
399	C₂³×C₇	C₂⁴	1	1	yes	characteristic
400	C₂²×D₇	—	2	2	no	—
401	C₂²×D₇	—	2	2	no	—
402	C₂²×D₇	—	2	2	no	—
403	C₂²×D₇	—	2	2	no	—
404	C₂²×D₇	—	2	2	no	—
405	C₂²×D₇	—	2	2	no	—
406	C₂²×D₇	—	2	2	no	—
407	C₂²×D₇	—	2	2	no	—
408	C₂²×D₇	—	2	2	no	—
409	C₂²×D₇	—	2	2	no	—
410	C₂²×D₇	—	2	2	no	—
411	C₂²×D₇	—	4	1	no	—
412	C₂²×D₇	—	4	1	no	—
413	C₂²×D₇	—	4	1	no	—
414	C₂²×D₇	—	4	1	no	—
415	C₂²×D₇	—	4	1	no	—
416	C₂²×D₇	—	4	1	no	—
417	C₂²×D₇	—	4	1	no	—
418	C₂²×D₇	—	4	1	no	—
419	C₂²×D₇	—	4	1	no	—
420	C₂²×D₇	—	4	1	no	—
421	C₂²×D₇	—	4	1	no	—
422	C₂²×D₇	—	4	1	no	—
423	C₂²×D₇	—	4	1	no	—
424	C₂²×D₇	—	4	1	no	—
425	C₂²×D₇	—	4	1	no	—
426	C₂²×D₇	—	4	1	no	—
427	C₂²×D₇	—	4	1	no	—
428	C₂²×D₇	—	4	1	no	—
429	C₂²×D₇	—	4	1	no	—
430	C₂²×D₇	—	4	16	no	—
431	C₂²×D₇	C₂⁴	1	1	yes	characteristic
432	C₂²×D₇	C₂⁴	1	1	yes	characteristic
433	C₂²×D₇	C₂⁴	1	1	yes	characteristic
434	C₂²×D₇	C₂⁴	1	1	yes	characteristic
435	C₂²×D₇	C₂⁴	1	1	yes	characteristic
436	C₂²×D₇	C₂⁴	1	1	yes	characteristic
437	C₂²×D₇	C₂⁴	1	1	yes	characteristic
438	C₂²×D₇	C₂⁴	1	1	yes	characteristic
439	C₇×Q₈	—	4	1	no	—
440	C₇×D₄	—	2	2	no	—
441	C₇×D₄	—	2	2	no	—
442	C₇×D₄	—	4	1	no	—
443	C₇×D₄	—	4	1	no	—
444	C₇×D₄	—	4	1	no	—
445	C₇×D₄	—	4	1	no	—
446	C₇×D₄	—	4	1	no	—
447	C₂×C₄×C₇	—	4	1	no	—
448	C₂×C₄×C₇	—	4	1	no	—
449	C₂×C₄×C₇	—	4	1	no	—
450	C₂×C₄×C₇	—	4	1	no	—
451	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
452	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
453	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
454	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
455	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
456	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
457	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
458	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
459	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
460	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
461	C₂²⋊D₇	—	2	2	no	—
462	C₂²⋊D₇	—	2	2	no	—
463	C₂²⋊D₇	—	2	2	no	—
464	C₂²⋊D₇	—	2	2	no	—
465	C₂²⋊D₇	—	4	1	no	—
466	C₂²⋊D₇	—	4	1	no	—
467	C₂²⋊D₇	—	4	1	no	—
468	C₂²⋊D₇	—	4	1	no	—
469	C₂²⋊D₇	—	4	1	no	—
470	C₂²⋊D₇	—	4	1	no	—
471	C₂²⋊D₇	—	4	1	no	—
472	C₂²⋊D₇	—	4	1	no	—
473	C₂²⋊D₇	—	4	1	no	—
474	C₂²⋊D₇	—	4	1	no	—
475	C₂²⋊D₇	—	4	1	no	—
476	C₂²⋊D₇	—	4	1	no	—
477	C₂²⋊D₇	—	4	1	no	—
478	C₂²⋊D₇	—	4	1	no	—
479	C₂²⋊D₇	—	4	1	no	—
480	C₂²⋊D₇	—	4	1	no	—
481	C₂×Dic₇	—	2	2	no	—
482	C₂×Dic₇	—	4	1	no	—
483	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
484	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
485	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
486	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
487	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
488	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
489	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
490	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
491	D₂₈	—	2	2	no	—
492	D₂₈	—	2	2	no	—
493	D₂₈	—	2	2	no	—
494	D₂₈	—	2	2	no	—
495	D₂₈	—	2	2	no	—
496	D₂₈	—	2	2	no	—
497	D₂₈	—	4	1	no	—
498	D₂₈	—	4	1	no	—
499	D₂₈	—	4	1	no	—
500	D₂₈	—	4	1	no	—
501	D₂₈	—	4	1	no	—
502	D₂₈	—	4	1	no	—
503	D₂₈	—	4	1	no	—
504	D₂₈	—	4	1	no	—
505	D₂₈	—	4	1	no	—
506	D₂₈	—	4	1	no	—
507	D₂₈	—	4	1	no	—
508	D₂₈	—	4	1	no	—
509	C₄×D₇	—	2	2	no	—
510	C₄×D₇	—	2	2	no	—
511	C₄×D₇	—	4	1	no	—
512	C₄×D₇	—	4	1	no	—
513	C₄×D₇	—	4	1	no	—
514	C₄×D₇	—	4	1	no	—
515	C₄×D₇	—	4	1	no	—
516	C₄×D₇	—	4	1	no	—
517	C₄×D₇	—	4	1	no	—
518	C₄×D₇	—	4	1	no	—
519	C₄×D₇	—	4	1	no	—
520	C₄×D₇	—	4	1	no	—
521	Dic₁₄	—	4	1	no	—
522	Dic₁₄	—	4	1	no	—
523	C₂⁵	—	7	1	no	—
524	C₂×#41	—	7	1	no	—
525	C₂×#41	—	7	1	no	—
526	C₂×#41	—	7	1	no	—
527	C₂²×D₄	—	7	1	no	—
528	C₂²×D₄	—	7	1	no	—
529	C₂²×D₄	—	7	1	no	—
530	C₂²×D₄	—	7	1	no	—
531	C₂²×D₄	—	7	1	no	—
532	C₂²×D₄	—	7	1	no	—
533	C₂²×D₄	—	7	1	no	—
534	C₂²×D₄	—	7	1	no	—
535	C₂²×D₄	—	7	1	no	—
536	C₂²×D₄	—	7	1	no	—
537	C₂²×D₄	—	7	1	no	—
538	C₂²×D₄	—	7	1	no	—
539	#127	—	7	1	no	—
540	#127	—	7	1	no	—
541	#127	—	7	1	no	—
542	#127	—	7	1	no	—
543	#126	—	7	1	no	—
544	#126	—	7	1	no	—
545	#126	—	7	1	no	—
546	#126	—	7	1	no	—
547	#126	—	7	1	no	—
548	#126	—	7	1	no	—
549	#126	C₂×D₇	1	1	yes	characteristic, complemented
550	#126	C₂×D₇	1	1	yes	characteristic, complemented
551	#124	—	7	1	no	—
552	#124	—	7	1	no	—
553	#124	—	7	1	no	—
554	#124	—	7	1	no	—
555	#124	—	7	1	no	—
556	#124	—	7	1	no	—
557	#124	—	7	1	no	—
558	#124	—	7	1	no	—
559	#124	—	7	1	no	—
560	#124	—	7	1	no	—
561	#124	C₂×D₇	1	1	yes	characteristic, complemented
562	#124	C₂×D₇	1	1	yes	characteristic, complemented
563	#123	—	7	1	no	—
564	#123	—	7	1	no	—
565	#123	—	7	1	no	—
566	#123	—	7	1	no	—
567	#123	—	7	1	no	—
568	#123	—	7	1	no	—
569	#123	—	7	1	no	—
570	#123	—	7	1	no	—
571	#123	—	7	1	no	—
572	#123	—	7	1	no	—
573	#123	—	7	1	no	—
574	#123	—	7	1	no	—
575	#123	—	7	1	no	—
576	#123	—	7	1	no	—
577	#123	—	7	1	no	—
578	#123	—	7	1	no	—
579	#123	C₂×D₇	1	1	yes	characteristic, complemented
580	#123	C₂×D₇	1	1	yes	characteristic, complemented
581	C₂²⋊Q₈	—	7	1	no	—
582	C₂²⋊Q₈	—	7	1	no	—
583	C₂²⋊Q₈	—	7	1	no	—
584	C₂²⋊Q₈	—	7	1	no	—
585	C₂²⋊Q₈	—	7	1	no	—
586	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
587	#121	—	7	1	no	—
588	#121	—	7	1	no	—
589	#121	—	7	1	no	—
590	#121	—	7	1	no	—
591	#121	—	7	1	no	—
592	#121	—	7	1	no	—
593	#121	—	7	1	no	—
594	#121	—	7	1	no	—
595	#121	—	7	1	no	—
596	#121	—	7	1	no	—
597	#121	—	7	1	no	—
598	#121	—	7	1	no	—
599	#121	—	7	1	no	—
600	#121	—	7	1	no	—
601	#121	—	7	1	no	—
602	#121	—	7	1	no	—
603	#121	—	7	1	no	—
604	#121	—	7	1	no	—
605	#121	—	7	1	no	—
606	#121	—	7	1	no	—
607	#121	—	7	1	no	—
608	#121	—	7	1	no	—
609	#121	—	7	1	no	—
610	#121	—	7	1	no	—
611	#121	—	7	1	no	—
612	#121	—	7	1	no	—
613	#121	—	7	1	no	—
614	#121	C₂×D₇	1	1	yes	characteristic, complemented
615	#121	C₂×D₇	1	1	yes	characteristic, complemented
616	#121	C₂×D₇	1	1	yes	characteristic, complemented
617	#120	—	7	1	no	—
618	#120	—	7	1	no	—
619	#120	—	7	1	no	—
620	#120	—	7	1	no	—
621	#120	—	7	1	no	—
622	#120	—	7	1	no	—
623	#120	—	7	1	no	—
624	#120	—	7	1	no	—
625	#120	—	7	1	no	—
626	#120	—	7	1	no	—
627	#120	—	7	1	no	—
628	#120	—	7	1	no	—
629	#120	—	7	1	no	—
630	#120	—	7	1	no	—
631	#120	—	7	1	no	—
632	#120	—	7	1	no	—
633	#120	—	7	1	no	—
634	#120	—	7	1	no	—
635	#120	—	7	1	no	—
636	#120	—	7	1	no	—
637	#120	—	7	1	no	—
638	#120	—	7	1	no	—
639	#120	—	7	1	no	—
640	#120	—	7	1	no	—
641	#120	—	7	1	no	—
642	#120	—	7	1	no	—
643	#120	—	7	1	no	—
644	#120	—	7	1	no	—
645	#120	—	7	1	no	—
646	#120	—	7	1	no	—
647	#120	—	7	1	no	—
648	#120	—	7	1	no	—
649	#120	C₂×D₇	1	1	yes	characteristic, complemented
650	#120	C₂×D₇	1	1	yes	characteristic, complemented
651	C₄×D₄	—	7	1	no	—
652	C₄×D₄	—	7	1	no	—
653	C₄×D₄	—	7	1	no	—
654	C₄×D₄	—	7	1	no	—
655	C₄×D₄	—	7	1	no	—
656	C₄×D₄	—	7	1	no	—
657	C₄×D₄	—	7	1	no	—
658	C₄×D₄	—	7	1	no	—
659	C₄×D₄	—	7	1	no	—
660	C₄×D₄	—	7	1	no	—
661	C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
662	C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
663	#117	—	7	1	no	—
664	#117	—	7	1	no	—
665	#117	—	7	1	no	—
666	C₂×C₂²⋊C₄	—	7	1	no	—
667	C₂×C₂²⋊C₄	—	7	1	no	—
668	C₂×C₂²⋊C₄	—	7	1	no	—
669	C₂×C₂²⋊C₄	—	7	1	no	—
670	C₂×C₂²⋊C₄	—	7	1	no	—
671	C₂×C₂²⋊C₄	—	7	1	no	—
672	C₂×C₂²⋊C₄	—	7	1	no	—
673	C₂×C₂²⋊C₄	—	7	1	no	—
674	C₂×C₂²⋊C₄	—	7	1	no	—
675	C₂×C₂²⋊C₄	—	7	1	no	—
676	C₂×C₂²⋊C₄	—	7	1	no	—
677	C₂×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
678	C₂²×C₇	—	2	1	no	—
679	C₂²×C₇	—	2	1	no	—
680	C₂²×C₇	—	2	1	no	—
681	C₂²×C₇	—	2	1	no	—
682	C₂²×C₇	—	2	1	no	—
683	C₂²×C₇	—	2	1	no	—
684	C₂²×C₇	—	2	1	no	—
685	C₂²×C₇	—	2	1	no	—
686	C₂²×C₇	—	2	1	no	—
687	C₂²×C₇	—	2	1	no	—
688	C₂²×C₇	—	2	1	no	—
689	C₂²×C₇	—	2	1	no	—
690	C₂²×C₇	—	2	1	no	—
691	C₂²×C₇	—	2	1	no	—
692	C₂²×C₇	—	4	4	no	—
693	C₂²×C₇	H(5,𝔽₂)	1	2	yes	—
694	C₂²×C₇	C₂⁵	1	1	yes	characteristic
695	C₂×D₇	—	2	1	no	—
696	C₂×D₇	—	2	1	no	—
697	C₂×D₇	—	2	1	no	—
698	C₂×D₇	—	2	1	no	—
699	C₂×D₇	—	2	1	no	—
700	C₂×D₇	—	2	1	no	—
701	C₂×D₇	—	2	1	no	—
702	C₂×D₇	—	2	1	no	—
703	C₂×D₇	—	2	1	no	—
704	C₂×D₇	—	2	1	no	—
705	C₂×D₇	—	2	1	no	—
706	C₂×D₇	—	2	1	no	—
707	C₂×D₇	—	2	1	no	—
708	C₂×D₇	—	2	1	no	—
709	C₂×D₇	—	2	1	no	—
710	C₂×D₇	—	2	1	no	—
711	C₂×D₇	—	2	1	no	—
712	C₂×D₇	—	2	1	no	—
713	C₂×D₇	—	2	1	no	—
714	C₂×D₇	—	2	1	no	—
715	C₂×D₇	—	2	1	no	—
716	C₂×D₇	—	2	1	no	—
717	C₂×D₇	—	4	4	no	—
718	C₂×D₇	—	4	4	no	—
719	C₂×D₇	—	4	4	no	—
720	C₂×D₇	—	4	4	no	—
721	C₂×D₇	—	4	4	no	—
722	C₂×D₇	—	4	4	no	—
723	C₂×D₇	—	8	2	no	—
724	C₂×D₇	—	8	2	no	—
725	C₂×D₇	—	8	2	no	—
726	C₂×D₇	—	8	2	no	—
727	C₂×D₇	H(5,𝔽₂)	1	2	yes	—
728	C₂×D₇	H(5,𝔽₂)	1	2	yes	—
729	C₄×C₇	—	2	1	no	—
730	C₄×C₇	—	2	1	no	—
731	C₄×C₇	—	2	1	no	—
732	C₄×C₇	—	2	1	no	—
733	C₄×C₇	—	2	1	no	—
734	C₄×C₇	—	2	1	no	—
735	C₄×C₇	—	2	1	no	—
736	C₄×C₇	—	2	1	no	—
737	C₄×C₇	—	2	1	no	—
738	C₄×C₇	—	2	1	no	—
739	Dic₇	—	2	1	no	—
740	Dic₇	—	2	1	no	—
741	Dic₇	—	2	1	no	—
742	Dic₇	—	2	1	no	—
743	Dic₇	—	2	1	no	—
744	Dic₇	—	2	1	no	—
745	Dic₇	—	2	1	no	—
746	Dic₇	—	2	1	no	—
747	C₂⁴	—	7	1	no	—
748	C₂⁴	—	7	1	no	—
749	C₂⁴	—	7	1	no	—
750	C₂⁴	—	7	1	no	—
751	C₂⁴	—	7	1	no	—
752	C₂⁴	—	7	1	no	—
753	C₂⁴	—	7	1	no	—
754	C₂⁴	—	7	1	no	—
755	C₂⁴	—	7	1	no	—
756	C₂⁴	—	7	1	no	—
757	C₂⁴	—	28	2	no	—
758	C₂⁴	—	28	2	no	—
759	C₂⁴	—	28	2	no	—
760	C₂⁴	C₂²×D₇	1	1	yes	characteristic
761	#41	—	28	2	no	—
762	#41	—	28	2	no	—
763	#41	—	28	2	no	—
764	C₂×Q₈	—	7	1	no	—
765	C₂×Q₈	—	7	1	no	—
766	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic, complemented
767	C₂×D₄	—	7	1	no	—
768	C₂×D₄	—	7	1	no	—
769	C₂×D₄	—	7	1	no	—
770	C₂×D₄	—	7	1	no	—
771	C₂×D₄	—	7	1	no	—
772	C₂×D₄	—	7	1	no	—
773	C₂×D₄	—	7	1	no	—
774	C₂×D₄	—	7	1	no	—
775	C₂×D₄	—	7	1	no	—
776	C₂×D₄	—	7	1	no	—
777	C₂×D₄	—	7	1	no	—
778	C₂×D₄	—	7	1	no	—
779	C₂×D₄	—	7	1	no	—
780	C₂×D₄	—	7	1	no	—
781	C₂×D₄	—	7	1	no	—
782	C₂×D₄	—	7	1	no	—
783	C₂×D₄	—	7	1	no	—
784	C₂×D₄	—	7	1	no	—
785	C₂×D₄	—	7	1	no	—
786	C₂×D₄	—	7	1	no	—
787	C₂×D₄	—	7	1	no	—
788	C₂×D₄	—	7	1	no	—
789	C₂×D₄	—	7	1	no	—
790	C₂×D₄	—	7	1	no	—
791	C₂×D₄	—	7	1	no	—
792	C₂×D₄	—	7	1	no	—
793	C₂×D₄	—	7	1	no	—
794	C₂×D₄	—	7	1	no	—
795	C₂×D₄	—	7	1	no	—
796	C₂×D₄	—	7	1	no	—
797	C₂×D₄	—	7	1	no	—
798	C₂×D₄	—	7	1	no	—
799	C₂×D₄	—	7	1	no	—
800	C₂×D₄	—	7	1	no	—
801	C₂×D₄	—	7	1	no	—
802	C₂×D₄	—	7	1	no	—
803	C₂×D₄	—	7	1	no	—
804	C₂×D₄	—	7	1	no	—
805	C₂×D₄	—	28	2	no	—
806	C₂×D₄	—	28	2	no	—
807	C₂×D₄	—	28	2	no	—
808	C₂×D₄	—	28	2	no	—
809	C₂×D₄	—	28	2	no	—
810	C₂×D₄	—	28	2	no	—
811	C₂×D₄	—	28	2	no	—
812	C₂×D₄	—	28	2	no	—
813	C₂×D₄	—	28	2	no	—
814	C₂×D₄	—	28	2	no	—
815	C₂×D₄	—	28	2	no	—
816	C₂×D₄	—	28	2	no	—
817	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
818	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
819	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
820	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
821	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
822	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
823	C₂×D₄	C₂²×D₇	1	1	yes	characteristic, complemented
824	C₂²×C₄	—	7	1	no	—
825	C₂²×C₄	—	7	1	no	—
826	C₂²×C₄	—	7	1	no	—
827	C₂²×C₄	—	7	1	no	—
828	C₂²×C₄	—	7	1	no	—
829	C₂²×C₄	—	7	1	no	—
830	C₂²×C₄	—	7	1	no	—
831	C₂²×C₄	—	7	1	no	—
832	C₂²×C₄	—	7	1	no	—
833	C₂²×C₄	—	7	1	no	—
834	C₂²×C₄	—	7	1	no	—
835	C₂²×C₄	—	7	1	no	—
836	C₂²×C₄	—	7	1	no	—
837	C₂²×C₄	—	7	1	no	—
838	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
839	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
840	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic, complemented
841	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic, complemented
842	C₄⋊C₄	—	7	1	no	—
843	C₄⋊C₄	—	7	1	no	—
844	C₄⋊C₄	—	7	1	no	—
845	C₄⋊C₄	—	7	1	no	—
846	C₄⋊C₄	—	7	1	no	—
847	C₄⋊C₄	—	7	1	no	—
848	C₄⋊C₄	—	7	1	no	—
849	C₄⋊C₄	—	7	1	no	—
850	C₄⋊C₄	—	7	1	no	—
851	C₄⋊C₄	—	7	1	no	—
852	C₄⋊C₄	—	7	1	no	—
853	C₄⋊C₄	—	7	1	no	—
854	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
855	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
856	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
857	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
858	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
859	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
860	C₂²⋊C₄	—	7	1	no	—
861	C₂²⋊C₄	—	7	1	no	—
862	C₂²⋊C₄	—	7	1	no	—
863	C₂²⋊C₄	—	7	1	no	—
864	C₂²⋊C₄	—	7	1	no	—
865	C₂²⋊C₄	—	7	1	no	—
866	C₂²⋊C₄	—	7	1	no	—
867	C₂²⋊C₄	—	7	1	no	—
868	C₂²⋊C₄	—	7	1	no	—
869	C₂²⋊C₄	—	7	1	no	—
870	C₂²⋊C₄	—	7	1	no	—
871	C₂²⋊C₄	—	7	1	no	—
872	C₂²⋊C₄	—	7	1	no	—
873	C₂²⋊C₄	—	7	1	no	—
874	C₂²⋊C₄	—	7	1	no	—
875	C₂²⋊C₄	—	7	1	no	—
876	C₂²⋊C₄	—	7	1	no	—
877	C₂²⋊C₄	—	7	1	no	—
878	C₂²⋊C₄	—	7	1	no	—
879	C₂²⋊C₄	—	7	1	no	—
880	C₂²⋊C₄	—	7	1	no	—
881	C₂²⋊C₄	—	7	1	no	—
882	C₂²⋊C₄	—	7	1	no	—
883	C₂²⋊C₄	—	7	1	no	—
884	C₂²⋊C₄	—	7	1	no	—
885	C₂²⋊C₄	—	7	1	no	—
886	C₂²⋊C₄	—	7	1	no	—
887	C₂²⋊C₄	—	7	1	no	—
888	C₂²⋊C₄	—	7	1	no	—
889	C₂²⋊C₄	—	7	1	no	—
890	C₂²⋊C₄	—	7	1	no	—
891	C₂²⋊C₄	—	7	1	no	—
892	C₂²⋊C₄	—	7	1	no	—
893	C₂²⋊C₄	—	7	1	no	—
894	C₂²⋊C₄	—	7	1	no	—
895	C₂²⋊C₄	—	7	1	no	—
896	C₂²⋊C₄	—	7	1	no	—
897	C₂²⋊C₄	—	7	1	no	—
898	C₂²⋊C₄	—	7	1	no	—
899	C₂²⋊C₄	—	7	1	no	—
900	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
901	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
902	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
903	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
904	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
905	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
906	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
907	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
908	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
909	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
910	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
911	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
912	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
913	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
914	C₄²	—	7	1	no	—
915	C₄²	—	7	1	no	—
916	C₄²	—	7	1	no	—
917	C₄²	—	7	1	no	—
918	C₄²	C₂²×D₇	1	1	yes	characteristic, complemented
919	C₄²	C₂²×D₇	1	1	yes	characteristic, complemented
920	C₂×C₇	—	2	2	no	—
921	C₂×C₇	—	4	1	no	—
922	C₂×C₇	—	4	1	no	—
923	C₂×C₇	—	4	1	no	—
924	C₂×C₇	—	4	1	no	—
925	C₂×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
926	C₂×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
927	C₂×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
928	D₇	—	2	2	no	—
929	D₇	—	2	2	no	—
930	D₇	—	4	1	no	—
931	D₇	—	4	1	no	—
932	D₇	—	4	1	no	—
933	D₇	—	4	1	no	—
934	D₇	—	4	1	no	—
935	D₇	—	4	1	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	4	1	no	—
938	C₂³	—	4	1	no	—
939	C₂³	—	7	1	no	—
940	C₂³	—	7	1	no	—
941	C₂³	—	7	1	no	—
942	C₂³	—	7	1	no	—
943	C₂³	—	7	1	no	—
944	C₂³	—	7	1	no	—
945	C₂³	—	7	1	no	—
946	C₂³	—	7	1	no	—
947	C₂³	—	14	2	no	—
948	C₂³	—	14	2	no	—
949	C₂³	—	14	2	no	—
950	C₂³	—	14	2	no	—
951	C₂³	—	14	2	no	—
952	C₂³	—	14	2	no	—
953	C₂³	—	14	2	no	—
954	C₂³	—	14	2	no	—
955	C₂³	—	14	2	no	—
956	C₂³	—	14	2	no	—
957	C₂³	—	14	2	no	—
958	C₂³	—	28	1	no	—
959	C₂³	—	28	1	no	—
960	C₂³	—	28	1	no	—
961	C₂³	—	28	1	no	—
962	C₂³	—	28	1	no	—
963	C₂³	—	28	1	no	—
964	C₂³	—	28	1	no	—
965	C₂³	—	28	1	no	—
966	C₂³	—	28	1	no	—
967	C₂³	—	28	1	no	—
968	C₂³	—	28	1	no	—
969	C₂³	—	28	1	no	—
970	C₂³	—	28	1	no	—
971	C₂³	—	28	1	no	—
972	C₂³	—	28	1	no	—
973	C₂³	—	28	1	no	—
974	C₂³	—	28	1	no	—
975	C₂³	—	28	1	no	—
976	C₂³	—	28	1	no	—
977	C₂³	—	28	16	no	—
978	C₂³	C₂³×D₇	1	1	yes	characteristic
979	C₂³	C₂³×D₇	1	1	yes	characteristic
980	C₂³	C₂³×D₇	1	1	yes	characteristic
981	C₂³	C₂³×D₇	1	1	yes	characteristic
982	C₂³	C₂³×D₇	1	1	yes	characteristic
983	Q₈	—	4	1	no	—
984	Q₈	—	28	1	no	—
985	Q₈	—	28	1	no	—
986	D₄	—	2	2	no	—
987	D₄	—	2	2	no	—
988	D₄	—	4	1	no	—
989	D₄	—	4	1	no	—
990	D₄	—	4	1	no	—
991	D₄	—	4	1	no	—
992	D₄	—	4	1	no	—
993	D₄	—	14	2	no	—
994	D₄	—	14	2	no	—
995	D₄	—	14	2	no	—
996	D₄	—	14	2	no	—
997	D₄	—	14	2	no	—
998	D₄	—	14	2	no	—
999	D₄	—	14	2	no	—
1000	D₄	—	14	2	no	—
1001	D₄	—	14	2	no	—
1002	D₄	—	14	2	no	—
1003	D₄	—	28	1	no	—
1004	D₄	—	28	1	no	—
1005	D₄	—	28	1	no	—
1006	D₄	—	28	1	no	—
1007	D₄	—	28	1	no	—
1008	D₄	—	28	1	no	—
1009	D₄	—	28	1	no	—
1010	D₄	—	28	1	no	—
1011	D₄	—	28	1	no	—
1012	D₄	—	28	1	no	—
1013	D₄	—	28	1	no	—
1014	D₄	—	28	1	no	—
1015	D₄	—	28	1	no	—
1016	D₄	—	28	1	no	—
1017	D₄	—	28	1	no	—
1018	D₄	—	28	1	no	—
1019	D₄	—	28	1	no	—
1020	D₄	—	28	1	no	—
1021	D₄	—	28	1	no	—
1022	D₄	—	28	1	no	—
1023	D₄	—	28	1	no	—
1024	D₄	—	28	1	no	—
1025	D₄	—	28	1	no	—
1026	D₄	—	28	1	no	—
1027	D₄	—	28	1	no	—
1028	D₄	—	28	1	no	—
1029	D₄	—	28	1	no	—
1030	D₄	—	28	1	no	—
1031	C₂×C₄	—	4	1	no	—
1032	C₂×C₄	—	4	1	no	—
1033	C₂×C₄	—	4	1	no	—
1034	C₂×C₄	—	4	1	no	—
1035	C₂×C₄	—	7	1	no	—
1036	C₂×C₄	—	7	1	no	—
1037	C₂×C₄	—	7	1	no	—
1038	C₂×C₄	—	7	1	no	—
1039	C₂×C₄	—	7	1	no	—
1040	C₂×C₄	—	7	1	no	—
1041	C₂×C₄	—	7	1	no	—
1042	C₂×C₄	—	7	1	no	—
1043	C₂×C₄	—	14	2	no	—
1044	C₂×C₄	—	14	2	no	—
1045	C₂×C₄	—	14	2	no	—
1046	C₂×C₄	—	28	1	no	—
1047	C₂×C₄	—	28	1	no	—
1048	C₂×C₄	—	28	1	no	—
1049	C₂×C₄	—	28	1	no	—
1050	C₂×C₄	—	28	1	no	—
1051	C₂×C₄	—	28	1	no	—
1052	C₂×C₄	—	28	1	no	—
1053	C₂×C₄	—	28	1	no	—
1054	C₂×C₄	—	28	1	no	—
1055	C₂×C₄	—	28	1	no	—
1056	C₂×C₄	—	28	1	no	—
1057	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1058	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1059	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1060	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1061	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1062	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1063	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1064	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1065	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1066	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1067	C₇	#3532	1	1	yes	characteristic, complemented, Sylow
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	4	4	no	—
1083	C₂²	—	7	2	no	—
1084	C₂²	—	7	2	no	—
1085	C₂²	—	14	1	no	—
1086	C₂²	—	14	1	no	—
1087	C₂²	—	14	1	no	—
1088	C₂²	—	14	1	no	—
1089	C₂²	—	14	1	no	—
1090	C₂²	—	14	1	no	—
1091	C₂²	—	14	1	no	—
1092	C₂²	—	14	1	no	—
1093	C₂²	—	14	1	no	—
1094	C₂²	—	14	1	no	—
1095	C₂²	—	14	1	no	—
1096	C₂²	—	14	1	no	—
1097	C₂²	—	14	1	no	—
1098	C₂²	—	14	1	no	—
1099	C₂²	—	14	1	no	—
1100	C₂²	—	14	1	no	—
1101	C₂²	—	14	1	no	—
1102	C₂²	—	14	1	no	—
1103	C₂²	—	14	1	no	—
1104	C₂²	—	14	1	no	—
1105	C₂²	—	14	1	no	—
1106	C₂²	—	14	1	no	—
1107	C₂²	—	28	4	no	—
1108	C₂²	—	28	4	no	—
1109	C₂²	—	28	4	no	—
1110	C₂²	—	28	4	no	—
1111	C₂²	—	28	4	no	—
1112	C₂²	—	28	4	no	—
1113	C₂²	—	56	2	no	—
1114	C₂²	—	56	2	no	—
1115	C₂²	—	56	2	no	—
1116	C₂²	—	56	2	no	—
1117	C₂²	#6553	1	2	yes	—
1118	C₂²	C₂⁴×D₇	1	1	yes	characteristic
1119	C₄	—	2	1	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	1	no	—
1129	C₄	—	14	1	no	—
1130	C₄	—	14	1	no	—
1131	C₄	—	14	1	no	—
1132	C₄	—	14	1	no	—
1133	C₄	—	14	1	no	—
1134	C₄	—	14	1	no	—
1135	C₄	—	14	1	no	—
1136	C₄	—	14	1	no	—
1137	C₂	—	2	2	no	—
1138	C₂	—	4	1	no	—
1139	C₂	—	4	1	no	—
1140	C₂	—	4	1	no	—
1141	C₂	—	4	1	no	—
1142	C₂	—	14	2	no	—
1143	C₂	—	14	2	no	—
1144	C₂	—	28	1	no	—
1145	C₂	—	28	1	no	—
1146	C₂	—	28	1	no	—
1147	C₂	—	28	1	no	—
1148	C₂	—	28	1	no	—
1149	C₂	—	28	1	no	—
1150	C₂	C₂×#6553	1	1	yes	characteristic
1151	C₂	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1152	C₂	D₇×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₇
commutator, socle, cosocle	C₂²×C₇	C₂⁵
Fitting	C₇×#538	C₂
hypercenter	#538	D₇
hypocenter	C₇	#3532
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
1. C₇×#538	C₂	semidirect
2. #90402	C₂	semidirect
3. #90396	C₂	semidirect
4. #90395	C₂	semidirect
5. #90395	C₂	semidirect
6. #90374	C₂	semidirect
7. #90369	C₂	semidirect
8. #90367	C₂	semidirect
9. #90365	C₂	semidirect
10. #90357	C₂	semidirect
11. #90348	C₂	semidirect
12. #90345	C₂	semidirect
13. #90344	C₂	semidirect
14. #90328	C₂	semidirect
15. #90321	C₂	semidirect
16. #90311	C₂	semidirect
17. #90301	C₂	semidirect
18. #90300	C₂	semidirect
19. #90300	C₂	semidirect
20. #90298	C₂	semidirect
21. #90296	C₂	semidirect
22. #90283	C₂	semidirect
23. #90280	C₂	semidirect
24. D₇×#120	C₂	semidirect
25. D₇×#120	C₂	semidirect
26. #90247	C₂	semidirect
27. #90245	C₂	semidirect
28. #90241	C₂	semidirect
29. D₄×D₂₈	C₂	semidirect
30. #90185	C₂	semidirect
31. C₂×#6445	C₂	semidirect
32. C₂⁴×D₇	C₂²	semidirect
33. C₂²×C₂²⋊D₇	C₂²	semidirect
34. C₂×#1161	C₂²	semidirect
35. C₂×#1159	C₂²	semidirect
36. C₂×D₄×D₇	C₂²	semidirect
37. C₂×D₄×D₇	C₂²	semidirect
38. C₂×D₄×D₇	C₂²	semidirect
39. C₂×D₄×D₇	C₂²	semidirect
40. C₂×D₄×D₇	C₂²	semidirect
41. C₂×D₄×D₇	C₂²	semidirect
42. C₂×D₄×D₇	C₂²	semidirect
43. C₂×D₄×D₇	C₂²	semidirect
44. C₂×#1157	C₂²	semidirect
45. C₂²×D₂₈	C₂²	semidirect
46. C₂²×D₂₈	C₂²	semidirect
47. C₂²×D₂₈	C₂²	semidirect
48. C₇×#126	C₂²	semidirect
49. C₇×#126	C₂²	semidirect
50. C₇×#124	C₂²	semidirect
51. C₇×#124	C₂²	semidirect
52. C₇×#123	C₂²	semidirect
53. C₇×#123	C₂²	semidirect
54. C₇×C₂²⋊Q₈	C₂²	semidirect
55. C₇×#121	C₂²	semidirect
56. C₇×#121	C₂²	semidirect
57. C₇×#121	C₂²	semidirect
58. C₇×#120	C₂²	semidirect
59. C₇×#120	C₂²	semidirect
60. C₄×C₇×D₄	C₂²	semidirect
61. C₄×C₇×D₄	C₂²	semidirect
62. C₂×C₇×C₂²⋊C₄	C₂²	semidirect
63. #6516	C₂²	semidirect
64. #6516	C₂²	semidirect
65. #6510	C₂²	semidirect
66. #6510	C₂²	semidirect
67. #6509	C₂²	semidirect
68. #6503	C₂²	semidirect
69. #6503	C₂²	semidirect
70. #6503	C₂²	semidirect
71. #6502	C₂²	semidirect
72. #6502	C₂²	semidirect
73. #6502	C₂²	semidirect
74. #6501	C₂²	semidirect
75. #6501	C₂²	semidirect
77. #6500	C₂²	semidirect
78. #6500	C₂²	semidirect
79. #6500	C₂²	semidirect
80. #6500	C₂²	semidirect
81. #6500	C₂²	semidirect
82. #6500	C₂²	semidirect
83. #6500	C₂²	semidirect
84. #6500	C₂²	semidirect
85. #6500	C₂²	semidirect
86. #6498	C₂²	semidirect
87. #6493	C₂²	semidirect
88. #6493	C₂²	semidirect
89. #6493	C₂²	semidirect
90. #6493	C₂²	semidirect
91. #6492	C₂²	semidirect
92. C₄×C₂²⋊D₇	C₂²	semidirect
93. C₄×C₂²⋊D₇	C₂²	semidirect
94. C₄×C₂²⋊D₇	C₂²	semidirect
95. C₂×(C₂×D₇)⋊C₄	C₂²	semidirect
96. C₂×(C₂×D₇)⋊C₄	C₂²	semidirect
97. C₂×(C₂×D₇)⋊C₄	C₂²	semidirect
98. #6487	C₂²	semidirect
99. #6461	C₂²	semidirect
100. #6461	C₂²	semidirect
101. #6461	C₂²	semidirect
102. #6460	C₂²	semidirect
103. #6459	C₂²	semidirect
104. #6459	C₂²	semidirect
105. #6458	C₂²	semidirect
106. #6458	C₂²	semidirect
107. #6458	C₂²	semidirect
108. #6458	C₂²	semidirect
109. #6458	C₂²	semidirect
110. #6458	C₂²	semidirect
111. #6458	C₂²	semidirect
112. #6457	C₂²	semidirect
113. #6457	C₂²	semidirect
114. #6457	C₂²	semidirect
115. #6457	C₂²	semidirect
116. #6457	C₂²	semidirect
117. #6457	C₂²	semidirect
118. #6457	C₂²	semidirect
119. #6456	C₂²	semidirect
120. #6456	C₂²	semidirect
121. #6456	C₂²	semidirect
122. #6455	C₂²	semidirect
123. #6449	C₂²	semidirect
124. #6449	C₂²	semidirect
125. #6448	C₂²	semidirect
126. #6448	C₂²	semidirect
127. #6448	C₂²	semidirect
128. #6448	C₂²	semidirect
129. #6448	C₂²	semidirect
130. #6448	C₂²	semidirect
131. #6447	C₂²	semidirect
132. #6447	C₂²	semidirect
133. #6447	C₂²	semidirect
134. #6447	C₂²	semidirect
135. #6447	C₂²	semidirect
136. #6447	C₂²	semidirect
137. #6447	C₂²	semidirect
138. #6447	C₂²	semidirect
139. #6447	C₂²	semidirect
140. #6447	C₂²	semidirect
141. #6447	C₂²	semidirect
142. #6446	C₂²	semidirect
143. #6446	C₂²	semidirect
144. #6446	C₂²	semidirect
145. #6446	C₂²	semidirect
146. #6446	C₂²	semidirect
149. #6445	C₂²	semidirect
150. #6445	C₂²	semidirect
151. #6445	C₂²	semidirect
152. #6445	C₂²	semidirect
153. #6445	C₂²	semidirect
154. #6445	C₂²	semidirect
155. #6445	C₂²	semidirect
156. #6445	C₂²	semidirect
157. #6445	C₂²	semidirect
158. #6445	C₂²	semidirect
159. #6445	C₂²	semidirect
160. #6445	C₂²	semidirect
161. #6445	C₂²	semidirect
162. #6445	C₂²	semidirect
163. #6445	C₂²	semidirect
164. #6445	C₂²	semidirect
165. #6445	C₂²	semidirect
166. #6445	C₂²	semidirect
167. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
168. D₇×C₂²⋊C₄	C₂²	semidirect
169. D₇×C₂²⋊C₄	C₂²	semidirect
170. D₇×C₂²⋊C₄	C₂²	semidirect
171. D₇×C₂²⋊C₄	C₂²	semidirect
172. D₇×C₂²⋊C₄	C₂²	semidirect
173. D₇×C₂²⋊C₄	C₂²	semidirect
174. D₇×C₂²⋊C₄	C₂²	semidirect
175. D₇×C₂²⋊C₄	C₂²	semidirect
176. #6442	C₂²	semidirect
177. #6442	C₂²	semidirect
178. #6440	C₂²	semidirect
179. #6439	C₂²	semidirect
180. #6438	C₂²	semidirect
181. #6438	C₂²	semidirect
182. #6437	C₂²	semidirect
183. C₄×D₂₈	C₂²	semidirect
184. C₄×D₂₈	C₂²	semidirect
185. C₄×D₂₈	C₂²	semidirect
186. #6435	C₂²	semidirect
201. C₂³×D₇	C₂³	semidirect
202. C₂×C₇×Q₈	C₂³	semidirect
209. C₂×C₇×D₄	C₂³	semidirect
212. C₂²×C₄×C₇	C₂³	semidirect
213. C₂²×C₄×C₇	C₂³	semidirect
231. C₂×C₂²⋊D₇	C₂³	semidirect
232. C₂×C₂²⋊D₇	C₂³	semidirect
233. C₂×C₂²⋊D₇	C₂³	semidirect
234. C₂×C₂²⋊D₇	C₂³	semidirect
236. C₂²×Dic₇	C₂³	semidirect
265. C₂×D₂₈	C₂³	semidirect
266. C₂×D₂₈	C₂³	semidirect
267. C₂×D₂₈	C₂³	semidirect
268. C₂×D₂₈	C₂³	semidirect
275. C₂×C₄×D₇	C₂³	semidirect
276. C₂×C₄×D₇	C₂³	semidirect
277. C₂×C₄×D₇	C₂³	semidirect
278. C₂×C₄×D₇	C₂³	semidirect
279. C₂×C₄×D₇	C₂³	semidirect
280. C₂×C₄×D₇	C₂³	semidirect
281. C₂×Dic₁₄	C₂³	semidirect
282. C₂×Dic₁₄	C₂³	semidirect
283. C₇×C₄⋊C₄	C₂³	semidirect
284. C₇×C₄⋊C₄	C₂³	semidirect
285. C₇×C₄⋊C₄	C₂³	semidirect
286. C₇×C₄⋊C₄	C₂³	semidirect
287. C₇×C₄⋊C₄	C₂³	semidirect
288. C₇×C₄⋊C₄	C₂³	semidirect
299. C₇×C₂²⋊C₄	C₂³	semidirect
300. C₇×C₂²⋊C₄	C₂³	semidirect
301. C₇×C₂²⋊C₄	C₂³	semidirect
302. C₇×C₂²⋊C₄	C₂³	semidirect
303. C₄²×C₇	C₂³	semidirect
304. C₄²×C₇	C₂³	semidirect
311. C₂²⋊Dic₇	C₂³	semidirect
312. C₂²⋊Dic₇	C₂³	semidirect
333. (C₂×D₇)⋊C₄	C₂³	semidirect
334. (C₂×D₇)⋊C₄	C₂³	semidirect
335. (C₂×D₇)⋊C₄	C₂³	semidirect
336. (C₂×D₇)⋊C₄	C₂³	semidirect
337. (C₂×D₇)⋊C₄	C₂³	semidirect
338. (C₂×D₇)⋊C₄	C₂³	semidirect
339. (C₂×D₇)⋊C₄	C₂³	semidirect
340. (C₂×D₇)⋊C₄	C₂³	semidirect
341. (C₂×D₇)⋊C₄	C₂³	semidirect
342. (C₂×D₇)⋊C₄	C₂³	semidirect
343. (C₂×D₇)⋊C₄	C₂³	semidirect
344. (C₂×D₇)⋊C₄	C₂³	semidirect
345. C₄⋊Dic₇	C₂³	semidirect
346. C₄⋊Dic₇	C₂³	semidirect
347. C₄⋊Dic₇	C₂³	semidirect
348. C₄⋊Dic₇	C₂³	semidirect
349. Dic₇⋊C₄	C₂³	semidirect
350. Dic₇⋊C₄	C₂³	semidirect
351. Dic₇⋊C₄	C₂³	semidirect
352. Dic₇⋊C₄	C₂³	semidirect
353. Dic₇⋊C₄	C₂³	semidirect
354. Dic₇⋊C₄	C₂³	semidirect
355. Dic₇⋊C₄	C₂³	semidirect
356. Dic₇⋊C₄	C₂³	semidirect
357. C₄×Dic₇	C₂³	semidirect
358. C₄×Dic₇	C₂³	semidirect
359. C₄×Dic₇	C₂³	semidirect
360. C₄×Dic₇	C₂³	semidirect
382. #538	D₇	semidirect
549. #126	C₂×D₇	semidirect
550. #126	C₂×D₇	semidirect
561. #124	C₂×D₇	semidirect
562. #124	C₂×D₇	semidirect
579. #123	C₂×D₇	semidirect
580. #123	C₂×D₇	semidirect
586. C₂²⋊Q₈	C₂×D₇	semidirect
614. #121	C₂×D₇	semidirect
615. #121	C₂×D₇	semidirect
616. #121	C₂×D₇	semidirect
649. #120	C₂×D₇	semidirect
650. #120	C₂×D₇	semidirect
661. C₄×D₄	C₂×D₇	semidirect
662. C₄×D₄	C₂×D₇	semidirect
677. C₂×C₂²⋊C₄	C₂×D₇	semidirect
766. C₂×Q₈	C₂²×D₇	semidirect
823. C₂×D₄	C₂²×D₇	semidirect
840. C₂²×C₄	C₂²×D₇	semidirect
841. C₂²×C₄	C₂²×D₇	semidirect
854. C₄⋊C₄	C₂²×D₇	semidirect
855. C₄⋊C₄	C₂²×D₇	semidirect
856. C₄⋊C₄	C₂²×D₇	semidirect
857. C₄⋊C₄	C₂²×D₇	semidirect
858. C₄⋊C₄	C₂²×D₇	semidirect
859. C₄⋊C₄	C₂²×D₇	semidirect
910. C₂²⋊C₄	C₂²×D₇	semidirect
911. C₂²⋊C₄	C₂²×D₇	semidirect
912. C₂²⋊C₄	C₂²×D₇	semidirect
913. C₂²⋊C₄	C₂²×D₇	semidirect
918. C₄²	C₂²×D₇	semidirect
919. C₄²	C₂²×D₇	semidirect
1067. C₇	#3532	semidirect

Maximal subgroups

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

subgroup	index
C₇×#538	2
#90402	2
#90396	2
#90395	2
#90374	2
#90369	2
#90367	2
#90365	2
#90357	2
#90348	2
#90345	2
#90344	2
#90328	2
#90321	2
#90311	2
#90301	2
#90300	2
#90298	2
#90296	2
#90283	2
#90280	2
D₇×#120	2
#90247	2
#90245	2
#90241	2
D₄×D₂₈	2
#90185	2
C₂×#6445	2
#3532	7