Subgroups — #11743707

Order 896.

1252 conjugacy classes of subgroups.

The subgroup lattice has 1096 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	#90523	C₂	1	1	yes	maximal, characteristic, complemented
3	#90520	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#6502	C₂	1	1	yes	maximal, characteristic, complemented
5	D₄×C₂²⋊D₇	C₂	1	1	yes	maximal, characteristic, complemented
6	#90369	C₂	1	1	yes	maximal, characteristic, complemented
7	#90361	C₂	1	1	yes	maximal, characteristic, complemented
8	#90354	C₂	1	1	yes	maximal, characteristic, complemented
9	#90352	C₂	1	1	yes	maximal, characteristic, complemented
10	#90345	C₂	1	1	yes	maximal, characteristic, complemented
11	#90340	C₂	1	1	yes	maximal, characteristic, complemented
12	#90335	C₂	1	1	yes	maximal, characteristic, complemented
13	#90327	C₂	1	1	yes	maximal, characteristic, complemented
14	#90306	C₂	1	1	yes	maximal, characteristic, complemented
15	#90304	C₂	1	1	yes	maximal, characteristic, complemented
16	#90301	C₂	1	1	yes	maximal, characteristic, complemented
17	D₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
18	#90292	C₂	1	1	yes	maximal, characteristic, complemented
19	#90290	C₂	1	1	yes	maximal, characteristic, complemented
20	#90284	C₂	1	1	yes	maximal, characteristic, complemented
21	#90281	C₂	1	1	yes	maximal, characteristic, complemented
22	#90281	C₂	1	1	yes	maximal, characteristic, complemented
23	#90277	C₂	1	1	yes	maximal, characteristic, complemented
24	#90238	C₂	1	1	yes	maximal, characteristic, complemented
25	#90236	C₂	1	1	yes	maximal, characteristic, complemented
26	#90231	C₂	1	1	yes	maximal, characteristic, complemented
27	#90231	C₂	1	1	yes	maximal, characteristic, complemented
28	#90181	C₂	1	1	yes	maximal, characteristic, complemented
29	#90181	C₂	1	1	yes	maximal, characteristic, complemented
30	#90177	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×(C₂²⋊D₇)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#41	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₂²⋊D₇	C₂²	1	1	yes	characteristic
35	C₂²×C₂²⋊D₇	C₂²	1	1	yes	characteristic
36	C₂²×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
38	C₂³×Dic₇	C₂²	1	1	yes	characteristic, complemented
39	C₂×#1159	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₇	C₂²	1	1	yes	characteristic
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	C₂×#1157	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₄×D₇	C₂²	1	1	yes	characteristic, complemented
47	C₇×#124	C₂²	1	1	yes	characteristic, complemented
48	C₇×#123	C₂²	1	1	yes	characteristic, complemented
49	C₇×#123	C₂²	1	1	yes	characteristic, complemented
50	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₇×#121	C₂²	1	1	yes	characteristic, complemented
52	C₇×#121	C₂²	1	1	yes	characteristic, complemented
53	C₇×#121	C₂²	1	1	yes	characteristic, complemented
54	C₇×#120	C₂²	1	1	yes	characteristic, complemented
55	C₇×#120	C₂²	1	1	yes	characteristic, complemented
56	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	#6516	C₂²	1	1	yes	characteristic, complemented
61	#6516	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
63	#6510	C₂²	1	1	yes	characteristic, complemented
64	#6510	C₂²	1	1	yes	characteristic, complemented
65	#6509	C₂²	1	1	yes	characteristic, complemented
66	#6507	C₂²	1	1	yes	characteristic, complemented
67	#6503	C₂²	1	1	yes	characteristic, complemented
68	#6503	C₂²	1	1	yes	characteristic, complemented
69	#6503	C₂²	1	1	yes	characteristic, complemented
70	#6502	C₂²	1	1	yes	characteristic
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	#6502	C₂²	1	1	yes	characteristic, complemented
75	#6502	C₂²	1	1	yes	characteristic, complemented
76	#6502	C₂²	1	1	yes	characteristic, complemented
77	#6502	C₂²	1	1	yes	characteristic, complemented
78	#6502	C₂²	1	1	yes	characteristic, complemented
79	#6502	C₂²	1	1	yes	characteristic, complemented
80	#6502	C₂²	1	1	yes	characteristic, complemented
81	#6502	C₂²	1	1	yes	characteristic, complemented
82	#6502	C₂²	1	1	yes	characteristic, complemented
83	#6502	C₂²	1	1	yes	characteristic, complemented
84	#6502	C₂²	1	1	yes	characteristic, complemented
85	#6502	C₂²	1	1	yes	characteristic, complemented
86	#6501	C₂²	1	1	yes	characteristic, complemented
87	#6501	C₂²	1	1	yes	characteristic, complemented
88	#6500	C₂²	1	1	yes	characteristic, complemented
89	#6500	C₂²	1	1	yes	characteristic, complemented
90	#6500	C₂²	1	1	yes	characteristic, complemented
91	#6500	C₂²	1	1	yes	characteristic, complemented
92	#6499	C₂²	1	1	yes	characteristic, complemented
93	#6498	C₂²	1	1	yes	characteristic, complemented
94	#6498	C₂²	1	1	yes	characteristic, complemented
95	D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
96	D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
97	D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
98	#6493	C₂²	1	1	yes	characteristic, complemented
99	#6493	C₂²	1	1	yes	characteristic, complemented
100	#6493	C₂²	1	1	yes	characteristic, complemented
101	#6492	C₂²	1	1	yes	characteristic, complemented
102	#6492	C₂²	1	1	yes	characteristic, complemented
103	#6492	C₂²	1	1	yes	characteristic, complemented
104	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
105	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
106	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
107	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
113	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
117	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
119	#6461	C₂²	1	1	yes	characteristic, complemented
120	#6461	C₂²	1	1	yes	characteristic, complemented
121	#6459	C₂²	1	1	yes	characteristic, complemented
122	#6459	C₂²	1	1	yes	characteristic, complemented
123	#6458	C₂²	1	1	yes	characteristic, complemented
124	#6458	C₂²	1	1	yes	characteristic, complemented
125	#6457	C₂²	1	1	yes	characteristic, complemented
126	#6457	C₂²	1	1	yes	characteristic, complemented
127	#6457	C₂²	1	1	yes	characteristic, complemented
128	#6456	C₂²	1	1	yes	characteristic, complemented
129	#6455	C₂²	1	1	yes	characteristic, complemented
130	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
131	#6452	C₂²	1	1	yes	characteristic, complemented
132	#6452	C₂²	1	1	yes	characteristic, complemented
133	#6452	C₂²	1	1	yes	characteristic, complemented
134	#6450	C₂²	1	1	yes	characteristic, complemented
135	#6449	C₂²	1	1	yes	characteristic, complemented
136	#6448	C₂²	1	1	yes	characteristic, complemented
137	#6448	C₂²	1	1	yes	characteristic, complemented
138	#6448	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	#6447	C₂²	1	1	yes	characteristic, complemented
143	#6447	C₂²	1	1	yes	characteristic, complemented
144	#6447	C₂²	1	1	yes	characteristic, complemented
145	#6447	C₂²	1	1	yes	characteristic, complemented
146	#6447	C₂²	1	1	yes	characteristic, complemented
147	#6447	C₂²	1	1	yes	characteristic, complemented
148	#6446	C₂²	1	1	yes	characteristic, complemented
149	#6446	C₂²	1	1	yes	characteristic, complemented
150	#6446	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	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
156	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
157	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
158	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	(C₂²⋊D₇)⋊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	#6442	C₂²	1	1	yes	characteristic, complemented
175	#6442	C₂²	1	1	yes	characteristic, complemented
176	#6442	C₂²	1	1	yes	characteristic, complemented
177	#6441	C₂²	1	1	yes	characteristic, complemented
178	#6441	C₂²	1	1	yes	characteristic, complemented
179	#6441	C₂²	1	1	yes	characteristic, complemented
180	#6440	C₂²	1	1	yes	characteristic, complemented
181	#6440	C₂²	1	1	yes	characteristic, complemented
182	#6440	C₂²	1	1	yes	characteristic, complemented
183	#6439	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
185	#6435	C₂²	1	1	yes	characteristic, complemented
186	#6435	C₂²	1	1	yes	characteristic, complemented
187	#3519	—	7	1	no	maximal, Sylow
188	C₂⁴×C₇	C₂³	1	1	yes	characteristic
189	C₂⁴×C₇	C₂³	1	1	yes	characteristic
190	C₂³×D₇	C₂³	1	1	yes	characteristic
191	C₂³×D₇	C₂³	1	1	yes	characteristic
192	C₂³×D₇	C₂³	1	1	yes	characteristic
193	C₂³×D₇	C₂³	1	1	yes	characteristic
194	C₇×#41	—	4	2	no	—
195	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
196	C₂×C₇×D₄	—	4	2	no	—
197	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
198	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
199	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
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	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
207	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
208	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
209	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
210	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
211	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊D₇	—	2	4	no	—
213	C₂×C₂²⋊D₇	—	2	4	no	—
214	C₂×C₂²⋊D₇	—	4	2	no	—
215	C₂×C₂²⋊D₇	—	4	2	no	—
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
232	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
238	C₂²×Dic₇	—	4	2	no	—
239	C₂²×Dic₇	C₂³	1	1	yes	characteristic
240	C₂²×Dic₇	C₂³	1	1	yes	characteristic
241	C₂²×Dic₇	C₂³	1	1	yes	characteristic
242	C₂²×Dic₇	C₂³	1	1	yes	characteristic
243	C₂²×Dic₇	C₂³	1	1	yes	characteristic
244	C₂²×Dic₇	C₂³	1	1	yes	characteristic
245	C₂²×Dic₇	C₂³	1	1	yes	characteristic
246	C₂²×Dic₇	C₂³	1	1	yes	characteristic
247	C₂²×Dic₇	C₂³	1	1	yes	characteristic
248	C₂²×Dic₇	C₂³	1	1	yes	characteristic
249	#1159	—	4	2	no	—
250	D₄×D₇	—	2	4	no	—
251	D₄×D₇	—	4	2	no	—
252	D₄×D₇	—	4	2	no	—
253	D₄×D₇	—	4	2	no	—
254	#1157	—	4	2	no	—
255	#1157	—	4	2	no	—
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×C₄×D₇	—	4	2	no	—
263	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
265	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
266	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
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×Dic₁₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
276	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	C₄²×C₇	C₂³	1	1	yes	characteristic
293	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
294	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
295	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
296	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
297	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
298	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
299	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
300	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
301	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
302	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
303	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
304	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
305	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
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	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
328	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
329	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
330	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
331	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
332	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
333	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
334	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
335	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
336	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
337	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
338	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
339	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
340	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
341	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
342	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
343	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
344	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
345	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
346	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
347	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
348	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
349	C₄×Dic₇	C₂³	1	1	yes	characteristic
350	C₄×Dic₇	C₂³	1	1	yes	characteristic
351	C₄×Dic₇	C₂³	1	1	yes	characteristic
352	C₄×Dic₇	C₂³	1	1	yes	characteristic
353	C₄×Dic₇	C₂³	1	1	yes	characteristic
354	C₄×Dic₇	C₂³	1	1	yes	characteristic
355	C₄×Dic₇	C₂³	1	1	yes	characteristic
356	C₄×Dic₇	C₂³	1	1	yes	characteristic
357	C₄×Dic₇	C₂³	1	1	yes	characteristic
358	#555	—	7	1	no	—
359	#554	—	7	1	no	—
360	#553	—	7	1	no	—
361	#553	—	7	1	no	—
362	#553	—	7	1	no	—
363	#553	—	7	1	no	—
364	#550	—	7	1	no	—
365	#546	—	7	1	no	—
366	#546	—	7	1	no	—
367	#546	—	7	1	no	—
368	#546	—	7	1	no	—
369	#546	—	7	1	no	—
370	#546	D₇	1	1	yes	characteristic, complemented
371	D₄²	—	7	1	no	—
372	D₄²	—	7	1	no	—
373	D₄²	—	7	1	no	—
374	#540	—	7	1	no	—
375	#540	—	7	1	no	—
376	#538	—	7	1	no	—
377	#538	—	7	1	no	—
378	#538	—	7	1	no	—
379	#538	—	7	1	no	—
380	#532	—	7	1	no	—
381	#529	—	7	1	no	—
382	#525	—	7	1	no	—
383	#525	—	7	1	no	—
384	C₂×#121	—	7	1	no	—
385	C₂×#121	—	7	1	no	—
386	#518	—	7	1	no	—
387	#518	—	7	1	no	—
388	C₂×C₄×D₄	—	7	1	no	—
389	C₂³×C₇	—	2	2	no	—
390	C₂³×C₇	—	2	2	no	—
391	C₂³×C₇	—	2	2	no	—
392	C₂³×C₇	—	4	1	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	C₂³×C₇	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
407	C₂²×D₇	—	4	1	no	—
408	C₂²×D₇	—	4	1	no	—
409	C₂²×D₇	—	4	1	no	—
410	C₂²×D₇	—	4	1	no	—
411	C₂²×D₇	—	4	1	no	—
412	C₂²×D₇	—	4	1	no	—
413	C₂²×D₇	C₂⁴	1	1	yes	characteristic
414	C₂²×D₇	C₂⁴	1	1	yes	characteristic
415	C₂²×D₇	C₂⁴	1	1	yes	characteristic
416	C₂²×D₇	C₂⁴	1	1	yes	characteristic
417	C₂²×D₇	C₂⁴	1	1	yes	characteristic
418	C₇×Q₈	—	4	1	no	—
419	C₇×D₄	—	2	2	no	—
420	C₇×D₄	—	2	2	no	—
421	C₇×D₄	—	2	2	no	—
422	C₇×D₄	—	2	2	no	—
423	C₇×D₄	—	4	1	no	—
424	C₇×D₄	—	4	1	no	—
425	C₇×D₄	—	4	1	no	—
426	C₇×D₄	—	4	1	no	—
427	C₇×D₄	—	4	1	no	—
428	C₂×C₄×C₇	—	2	2	no	—
429	C₂×C₄×C₇	—	4	1	no	—
430	C₂×C₄×C₇	—	4	1	no	—
431	C₂×C₄×C₇	—	4	1	no	—
432	C₂×C₄×C₇	—	4	1	no	—
433	C₂×C₄×C₇	—	4	1	no	—
434	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
435	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
436	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
437	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
438	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
439	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
440	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
441	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
442	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
443	C₂²⋊D₇	—	2	2	no	—
444	C₂²⋊D₇	—	2	2	no	—
445	C₂²⋊D₇	—	2	2	no	—
446	C₂²⋊D₇	—	2	2	no	—
447	C₂²⋊D₇	—	2	2	no	—
448	C₂²⋊D₇	—	2	2	no	—
449	C₂²⋊D₇	—	2	2	no	—
450	C₂²⋊D₇	—	2	2	no	—
451	C₂²⋊D₇	—	2	2	no	—
452	C₂²⋊D₇	—	2	2	no	—
453	C₂²⋊D₇	—	2	2	no	—
454	C₂²⋊D₇	—	2	2	no	—
455	C₂²⋊D₇	—	2	2	no	—
456	C₂²⋊D₇	—	4	1	no	—
457	C₂²⋊D₇	—	4	1	no	—
458	C₂²⋊D₇	—	4	1	no	—
459	C₂²⋊D₇	—	4	1	no	—
460	C₂²⋊D₇	—	4	1	no	—
461	C₂²⋊D₇	—	4	1	no	—
462	C₂²⋊D₇	—	4	1	no	—
463	C₂²⋊D₇	—	4	1	no	—
464	C₂²⋊D₇	#41	1	4	yes	complemented
465	C₂×Dic₇	—	2	2	no	—
466	C₂×Dic₇	—	2	2	no	—
467	C₂×Dic₇	—	2	2	no	—
468	C₂×Dic₇	—	2	2	no	—
469	C₂×Dic₇	—	2	2	no	—
470	C₂×Dic₇	—	4	1	no	—
471	C₂×Dic₇	—	4	1	no	—
472	C₂×Dic₇	—	4	1	no	—
473	C₂×Dic₇	—	4	1	no	—
474	C₂×Dic₇	—	4	1	no	—
475	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
476	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
477	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
478	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
479	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
480	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
481	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
482	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
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	D₂₈	—	2	2	no	—
487	D₂₈	—	4	1	no	—
488	D₂₈	—	4	1	no	—
489	D₂₈	—	4	1	no	—
490	D₂₈	—	4	1	no	—
491	D₂₈	—	4	1	no	—
492	C₄×D₇	—	2	2	no	—
493	C₄×D₇	—	2	2	no	—
494	C₄×D₇	—	2	2	no	—
495	C₄×D₇	—	4	1	no	—
496	C₄×D₇	—	4	1	no	—
497	C₄×D₇	—	4	1	no	—
498	C₄×D₇	—	4	1	no	—
499	C₄×D₇	—	4	1	no	—
500	C₄×D₇	—	4	1	no	—
501	C₄×D₇	—	4	1	no	—
502	C₄×D₇	—	4	1	no	—
503	Dic₁₄	—	2	2	no	—
504	Dic₁₄	—	4	1	no	—
505	C₂×#41	—	7	1	no	—
506	C₂×#41	—	7	1	no	—
507	C₂×#41	—	7	1	no	—
508	C₂×#41	C₂×D₇	1	1	yes	characteristic, complemented
509	C₂²×D₄	—	7	1	no	—
510	C₂²×D₄	—	7	1	no	—
511	C₂²×D₄	—	7	1	no	—
512	C₂²×D₄	—	7	1	no	—
513	C₂²×D₄	—	7	1	no	—
514	C₂²×D₄	—	7	1	no	—
515	C₂²×D₄	—	7	1	no	—
516	C₂²×D₄	—	7	1	no	—
517	C₂²×D₄	C₂×D₇	1	1	yes	characteristic, complemented
518	C₂³×C₄	—	7	1	no	—
519	C₂³×C₄	—	7	1	no	—
520	C₄⋊Q₈	—	7	1	no	—
521	#127	—	7	1	no	—
522	#127	—	7	1	no	—
523	#127	—	7	1	no	—
524	#126	—	7	1	no	—
525	#126	—	7	1	no	—
526	#126	—	7	1	no	—
527	#126	—	7	1	no	—
528	#126	—	7	1	no	—
529	#126	—	7	1	no	—
530	#125	—	7	1	no	—
531	#125	—	7	1	no	—
532	#125	—	7	1	no	—
533	#124	—	7	1	no	—
534	#124	—	7	1	no	—
535	#124	—	7	1	no	—
536	#124	—	7	1	no	—
537	#124	—	7	1	no	—
538	#124	—	7	1	no	—
539	#124	C₂×D₇	1	1	yes	characteristic, complemented
540	#123	—	7	1	no	—
541	#123	—	7	1	no	—
542	#123	—	7	1	no	—
543	#123	—	7	1	no	—
544	#123	—	7	1	no	—
545	#123	—	7	1	no	—
546	#123	—	7	1	no	—
547	#123	—	7	1	no	—
548	#123	—	7	1	no	—
549	#123	—	7	1	no	—
550	#123	—	7	1	no	—
551	#123	—	7	1	no	—
552	#123	C₂×D₇	1	1	yes	characteristic, complemented
553	#123	C₂×D₇	1	1	yes	characteristic, complemented
554	C₂²⋊Q₈	—	7	1	no	—
555	C₂²⋊Q₈	—	7	1	no	—
556	C₂²⋊Q₈	—	7	1	no	—
557	C₂²⋊Q₈	—	7	1	no	—
558	C₂²⋊Q₈	—	7	1	no	—
559	C₂²⋊Q₈	—	7	1	no	—
560	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
561	#121	—	7	1	no	—
562	#121	—	7	1	no	—
563	#121	—	7	1	no	—
564	#121	—	7	1	no	—
565	#121	—	7	1	no	—
566	#121	—	7	1	no	—
567	#121	—	7	1	no	—
568	#121	—	7	1	no	—
569	#121	—	7	1	no	—
570	#121	—	7	1	no	—
571	#121	—	7	1	no	—
572	#121	—	7	1	no	—
573	#121	—	7	1	no	—
574	#121	—	7	1	no	—
575	#121	—	7	1	no	—
576	#121	—	7	1	no	—
577	#121	—	7	1	no	—
578	#121	—	7	1	no	—
579	#121	—	7	1	no	—
580	#121	—	7	1	no	—
581	#121	—	7	1	no	—
582	#121	—	7	1	no	—
583	#121	—	7	1	no	—
584	#121	—	7	1	no	—
585	#121	—	7	1	no	—
586	#121	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic, complemented
594	#121	C₂×D₇	1	1	yes	characteristic, complemented
595	#121	C₂×D₇	1	1	yes	characteristic, complemented
596	#120	—	7	1	no	—
597	#120	—	7	1	no	—
598	#120	—	7	1	no	—
599	#120	—	7	1	no	—
600	#120	—	7	1	no	—
601	#120	—	7	1	no	—
602	#120	—	7	1	no	—
603	#120	—	7	1	no	—
604	#120	—	7	1	no	—
605	#120	—	7	1	no	—
606	#120	C₂×D₇	1	1	yes	characteristic, complemented
607	#120	C₂×D₇	1	1	yes	characteristic, complemented
608	C₄×Q₈	—	7	1	no	—
609	C₄×D₄	—	7	1	no	—
610	C₄×D₄	—	7	1	no	—
611	C₄×D₄	—	7	1	no	—
612	C₄×D₄	—	7	1	no	—
613	C₄×D₄	—	7	1	no	—
614	C₄×D₄	—	7	1	no	—
615	C₄×D₄	—	7	1	no	—
616	C₄×D₄	—	7	1	no	—
617	C₄×D₄	—	7	1	no	—
618	C₄×D₄	—	7	1	no	—
619	C₄×D₄	—	7	1	no	—
620	C₄×D₄	—	7	1	no	—
621	C₄×D₄	—	7	1	no	—
622	C₄×D₄	—	7	1	no	—
623	C₄×D₄	—	7	1	no	—
624	C₄×D₄	—	7	1	no	—
625	C₄×D₄	—	7	1	no	—
626	C₄×D₄	—	7	1	no	—
627	C₄×D₄	—	7	1	no	—
628	C₄×D₄	—	7	1	no	—
629	C₄×D₄	—	7	1	no	—
630	C₄×D₄	—	7	1	no	—
631	C₄×D₄	—	7	1	no	—
632	C₄×D₄	—	7	1	no	—
633	C₄×D₄	—	7	1	no	—
634	C₄×D₄	—	7	1	no	—
635	C₄×D₄	—	7	1	no	—
636	C₄×D₄	—	7	1	no	—
637	C₄×D₄	—	7	1	no	—
638	C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
639	C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
640	#117	—	7	1	no	—
641	#117	—	7	1	no	—
642	#117	—	7	1	no	—
643	#117	—	7	1	no	—
644	#117	—	7	1	no	—
645	#117	—	7	1	no	—
646	C₂×C₄⋊C₄	—	7	1	no	—
647	C₂×C₄⋊C₄	—	7	1	no	—
648	C₂×C₄⋊C₄	—	7	1	no	—
649	C₂×C₂²⋊C₄	—	7	1	no	—
650	C₂×C₂²⋊C₄	—	7	1	no	—
651	C₂×C₂²⋊C₄	—	7	1	no	—
652	C₂×C₂²⋊C₄	—	7	1	no	—
653	C₂×C₂²⋊C₄	—	7	1	no	—
654	C₂×C₂²⋊C₄	—	7	1	no	—
655	C₂×C₂²⋊C₄	—	7	1	no	—
656	C₂×C₂²⋊C₄	—	7	1	no	—
657	C₂×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
658	C₂×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
659	C₂×C₄²	—	7	1	no	—
660	C₂²×C₇	—	2	1	no	—
661	C₂²×C₇	—	2	1	no	—
662	C₂²×C₇	—	2	1	no	—
663	C₂²×C₇	—	2	1	no	—
664	C₂²×C₇	—	2	1	no	—
665	C₂²×C₇	—	2	1	no	—
666	C₂²×C₇	—	2	1	no	—
667	C₂²×C₇	—	2	1	no	—
668	C₂²×C₇	—	2	1	no	—
669	C₂²×C₇	—	2	1	no	—
670	C₂²×C₇	—	2	1	no	—
671	C₂²×C₇	—	2	1	no	—
672	C₂²×C₇	—	2	1	no	—
673	C₂²×C₇	—	2	1	no	—
674	C₂²×C₇	—	2	1	no	—
675	C₂²×C₇	—	2	1	no	—
676	C₂²×C₇	—	4	4	no	—
677	C₂²×C₇	—	8	2	no	—
678	C₂²×C₇	C₂×#41	1	2	yes	—
679	C₂²×C₇	H(5,𝔽₂)	1	2	yes	—
680	C₂²×C₇	C₂⁵	1	1	yes	characteristic
681	C₂×D₇	—	2	1	no	—
682	C₂×D₇	—	2	1	no	—
683	C₂×D₇	—	2	1	no	—
684	C₂×D₇	—	2	1	no	—
685	C₂×D₇	—	2	1	no	—
686	C₂×D₇	—	2	1	no	—
687	C₂×D₇	—	2	1	no	—
688	C₂×D₇	—	2	1	no	—
689	C₂×D₇	—	2	1	no	—
690	C₂×D₇	—	2	1	no	—
691	C₂×D₇	—	2	1	no	—
692	C₂×D₇	—	2	1	no	—
693	C₂×D₇	—	2	1	no	—
694	C₂×D₇	—	2	1	no	—
695	C₂×D₇	—	4	4	no	—
696	C₂×D₇	—	8	2	no	—
697	C₂×D₇	—	8	2	no	—
698	C₂×D₇	—	8	2	no	—
699	C₂×D₇	C₂×#41	1	2	yes	—
700	C₄×C₇	—	2	1	no	—
701	C₄×C₇	—	2	1	no	—
702	C₄×C₇	—	2	1	no	—
703	C₄×C₇	—	2	1	no	—
704	C₄×C₇	—	2	1	no	—
705	C₄×C₇	—	2	1	no	—
706	C₄×C₇	—	2	1	no	—
707	C₄×C₇	—	2	1	no	—
708	C₄×C₇	—	2	1	no	—
709	Dic₇	—	2	1	no	—
710	Dic₇	—	2	1	no	—
711	Dic₇	—	2	1	no	—
712	Dic₇	—	2	1	no	—
713	Dic₇	—	2	1	no	—
714	Dic₇	—	2	1	no	—
715	Dic₇	—	2	1	no	—
716	Dic₇	—	2	1	no	—
717	Dic₇	—	2	1	no	—
718	Dic₇	C₂×#41	1	2	yes	—
719	Dic₇	H(5,𝔽₂)	1	2	yes	—
720	C₂⁴	—	7	1	no	—
721	C₂⁴	—	7	1	no	—
722	C₂⁴	—	7	1	no	—
723	C₂⁴	—	7	1	no	—
724	C₂⁴	C₂²×D₇	1	1	yes	characteristic
725	C₂⁴	C₂²×D₇	1	1	yes	characteristic
726	#41	—	4	2	no	—
727	#41	—	28	2	no	—
728	#41	—	28	2	no	—
729	#41	—	28	2	no	—
730	C₂×Q₈	—	7	1	no	—
731	C₂×Q₈	—	7	1	no	—
732	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
733	C₂×D₄	—	4	2	no	—
734	C₂×D₄	—	7	1	no	—
735	C₂×D₄	—	7	1	no	—
736	C₂×D₄	—	7	1	no	—
737	C₂×D₄	—	7	1	no	—
738	C₂×D₄	—	7	1	no	—
739	C₂×D₄	—	7	1	no	—
740	C₂×D₄	—	7	1	no	—
741	C₂×D₄	—	7	1	no	—
742	C₂×D₄	—	7	1	no	—
743	C₂×D₄	—	7	1	no	—
744	C₂×D₄	—	7	1	no	—
745	C₂×D₄	—	7	1	no	—
746	C₂×D₄	—	7	1	no	—
747	C₂×D₄	—	7	1	no	—
748	C₂×D₄	—	7	1	no	—
749	C₂×D₄	—	7	1	no	—
750	C₂×D₄	—	7	1	no	—
751	C₂×D₄	—	7	1	no	—
752	C₂×D₄	—	7	1	no	—
753	C₂×D₄	—	7	1	no	—
754	C₂×D₄	—	7	1	no	—
755	C₂×D₄	—	7	1	no	—
756	C₂×D₄	—	7	1	no	—
757	C₂×D₄	—	7	1	no	—
758	C₂×D₄	—	7	1	no	—
759	C₂×D₄	—	7	1	no	—
760	C₂×D₄	—	7	1	no	—
761	C₂×D₄	—	7	1	no	—
762	C₂×D₄	—	14	4	no	—
763	C₂×D₄	—	14	4	no	—
764	C₂×D₄	—	14	4	no	—
765	C₂×D₄	—	28	2	no	—
766	C₂×D₄	—	28	2	no	—
767	C₂×D₄	—	28	2	no	—
768	C₂×D₄	—	28	2	no	—
769	C₂×D₄	—	28	2	no	—
770	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
771	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
772	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
773	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
774	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
775	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
776	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
777	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
778	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
779	C₂²×C₄	—	7	1	no	—
780	C₂²×C₄	—	7	1	no	—
781	C₂²×C₄	—	7	1	no	—
782	C₂²×C₄	—	7	1	no	—
783	C₂²×C₄	—	7	1	no	—
784	C₂²×C₄	—	7	1	no	—
785	C₂²×C₄	—	7	1	no	—
786	C₂²×C₄	—	7	1	no	—
787	C₂²×C₄	—	7	1	no	—
788	C₂²×C₄	—	7	1	no	—
789	C₂²×C₄	—	7	1	no	—
790	C₂²×C₄	—	7	1	no	—
791	C₂²×C₄	—	7	1	no	—
792	C₂²×C₄	—	7	1	no	—
793	C₂²×C₄	—	7	1	no	—
794	C₂²×C₄	—	7	1	no	—
795	C₂²×C₄	—	7	1	no	—
796	C₂²×C₄	—	7	1	no	—
797	C₂²×C₄	—	7	1	no	—
798	C₂²×C₄	—	7	1	no	—
799	C₂²×C₄	—	7	1	no	—
800	C₂²×C₄	—	28	2	no	—
801	C₂²×C₄	—	28	2	no	—
802	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
803	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
804	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
805	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
806	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
807	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
808	C₄⋊C₄	—	7	1	no	—
809	C₄⋊C₄	—	7	1	no	—
810	C₄⋊C₄	—	7	1	no	—
811	C₄⋊C₄	—	7	1	no	—
812	C₄⋊C₄	—	7	1	no	—
813	C₄⋊C₄	—	7	1	no	—
814	C₄⋊C₄	—	7	1	no	—
815	C₄⋊C₄	—	7	1	no	—
816	C₄⋊C₄	—	7	1	no	—
817	C₄⋊C₄	—	7	1	no	—
818	C₄⋊C₄	—	7	1	no	—
819	C₄⋊C₄	—	7	1	no	—
820	C₄⋊C₄	—	7	1	no	—
821	C₄⋊C₄	—	7	1	no	—
822	C₄⋊C₄	—	7	1	no	—
823	C₄⋊C₄	—	7	1	no	—
824	C₄⋊C₄	—	7	1	no	—
825	C₄⋊C₄	—	7	1	no	—
826	C₄⋊C₄	—	7	1	no	—
827	C₄⋊C₄	—	7	1	no	—
828	C₄⋊C₄	—	7	1	no	—
829	C₄⋊C₄	—	7	1	no	—
830	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
831	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
832	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
833	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
839	C₂²⋊C₄	—	7	1	no	—
840	C₂²⋊C₄	—	7	1	no	—
841	C₂²⋊C₄	—	7	1	no	—
842	C₂²⋊C₄	—	7	1	no	—
843	C₂²⋊C₄	—	7	1	no	—
844	C₂²⋊C₄	—	7	1	no	—
845	C₂²⋊C₄	—	7	1	no	—
846	C₂²⋊C₄	—	7	1	no	—
847	C₂²⋊C₄	—	7	1	no	—
848	C₂²⋊C₄	—	7	1	no	—
849	C₂²⋊C₄	—	7	1	no	—
850	C₂²⋊C₄	—	7	1	no	—
851	C₂²⋊C₄	—	7	1	no	—
852	C₂²⋊C₄	—	7	1	no	—
853	C₂²⋊C₄	—	7	1	no	—
854	C₂²⋊C₄	—	7	1	no	—
855	C₂²⋊C₄	—	7	1	no	—
856	C₂²⋊C₄	—	7	1	no	—
857	C₂²⋊C₄	—	7	1	no	—
858	C₂²⋊C₄	—	7	1	no	—
859	C₂²⋊C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
869	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
870	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
871	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
872	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
873	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
874	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
875	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
876	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
877	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
878	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
879	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
880	C₄²	—	7	1	no	—
881	C₄²	—	7	1	no	—
882	C₄²	—	7	1	no	—
883	C₄²	—	7	1	no	—
884	C₄²	—	7	1	no	—
885	C₄²	—	7	1	no	—
886	C₄²	—	7	1	no	—
887	C₄²	—	7	1	no	—
888	C₄²	—	7	1	no	—
889	C₄²	C₂²×D₇	1	1	yes	characteristic
890	C₂×C₇	—	2	2	no	—
891	C₂×C₇	—	2	2	no	—
892	C₂×C₇	—	4	1	no	—
893	C₂×C₇	—	4	1	no	—
894	C₂×C₇	—	4	1	no	—
895	C₂×C₇	—	4	1	no	—
896	C₂×C₇	C₂²×#41	1	1	yes	characteristic
897	C₂×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
898	C₂×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
899	D₇	—	2	2	no	—
900	D₇	—	4	1	no	—
901	D₇	—	4	1	no	—
902	D₇	—	4	1	no	—
903	D₇	—	4	1	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	4	1	no	—
908	C₂³	—	4	1	no	—
909	C₂³	—	4	1	no	—
910	C₂³	—	7	1	no	—
911	C₂³	—	7	1	no	—
912	C₂³	—	7	1	no	—
913	C₂³	—	7	1	no	—
914	C₂³	—	7	1	no	—
915	C₂³	—	14	2	no	—
916	C₂³	—	14	2	no	—
917	C₂³	—	14	2	no	—
918	C₂³	—	14	2	no	—
919	C₂³	—	14	2	no	—
920	C₂³	—	28	1	no	—
921	C₂³	—	28	1	no	—
922	C₂³	—	28	1	no	—
923	C₂³	—	28	1	no	—
924	C₂³	—	28	1	no	—
925	C₂³	—	28	1	no	—
926	C₂³	—	28	1	no	—
927	C₂³	C₂³×D₇	1	1	yes	characteristic
928	C₂³	C₂³×D₇	1	1	yes	characteristic
929	C₂³	C₂³×D₇	1	1	yes	characteristic
930	C₂³	C₂³×D₇	1	1	yes	characteristic
931	C₂³	C₂³×D₇	1	1	yes	characteristic
932	C₂³	C₂³×D₇	1	1	yes	characteristic
933	Q₈	—	4	1	no	—
934	Q₈	—	14	2	no	—
935	Q₈	—	28	1	no	—
936	D₄	—	2	2	no	—
937	D₄	—	2	2	no	—
938	D₄	—	2	2	no	—
939	D₄	—	2	2	no	—
940	D₄	—	4	1	no	—
941	D₄	—	4	1	no	—
942	D₄	—	4	1	no	—
943	D₄	—	4	1	no	—
944	D₄	—	4	1	no	—
945	D₄	—	7	4	no	—
946	D₄	—	14	2	no	—
947	D₄	—	14	2	no	—
948	D₄	—	14	2	no	—
949	D₄	—	14	2	no	—
950	D₄	—	14	2	no	—
951	D₄	—	14	2	no	—
952	D₄	—	14	2	no	—
953	D₄	—	14	2	no	—
954	D₄	—	14	2	no	—
955	D₄	—	14	2	no	—
956	D₄	—	14	2	no	—
957	D₄	—	14	2	no	—
958	D₄	—	14	2	no	—
959	D₄	—	14	2	no	—
960	D₄	—	28	1	no	—
961	D₄	—	28	1	no	—
962	D₄	—	28	1	no	—
963	D₄	—	28	1	no	—
964	D₄	—	28	1	no	—
965	D₄	—	28	1	no	—
966	D₄	—	28	1	no	—
967	D₄	—	28	1	no	—
968	D₄	—	28	1	no	—
969	D₄	—	28	1	no	—
970	D₄	—	28	1	no	—
971	D₄	—	28	1	no	—
972	D₄	—	28	1	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	4	1	no	—
975	C₂×C₄	—	4	1	no	—
976	C₂×C₄	—	4	1	no	—
977	C₂×C₄	—	4	1	no	—
978	C₂×C₄	—	4	1	no	—
979	C₂×C₄	—	7	1	no	—
980	C₂×C₄	—	7	1	no	—
981	C₂×C₄	—	7	1	no	—
982	C₂×C₄	—	7	1	no	—
983	C₂×C₄	—	7	1	no	—
984	C₂×C₄	—	7	1	no	—
985	C₂×C₄	—	7	1	no	—
986	C₂×C₄	—	7	1	no	—
987	C₂×C₄	—	7	1	no	—
988	C₂×C₄	—	7	1	no	—
989	C₂×C₄	—	7	1	no	—
990	C₂×C₄	—	14	2	no	—
991	C₂×C₄	—	14	2	no	—
992	C₂×C₄	—	14	2	no	—
993	C₂×C₄	—	14	2	no	—
994	C₂×C₄	—	14	2	no	—
995	C₂×C₄	—	14	2	no	—
996	C₂×C₄	—	14	2	no	—
997	C₂×C₄	—	14	2	no	—
998	C₂×C₄	—	28	1	no	—
999	C₂×C₄	—	28	1	no	—
1000	C₂×C₄	—	28	1	no	—
1001	C₂×C₄	—	28	1	no	—
1002	C₂×C₄	—	28	1	no	—
1003	C₂×C₄	—	28	1	no	—
1004	C₂×C₄	—	28	1	no	—
1005	C₂×C₄	—	28	1	no	—
1006	C₂×C₄	—	28	1	no	—
1007	C₂×C₄	—	28	1	no	—
1008	C₂×C₄	—	28	1	no	—
1009	C₂×C₄	—	28	1	no	—
1010	C₂×C₄	—	28	1	no	—
1011	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1012	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1013	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1014	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1015	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1016	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1017	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1018	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1019	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
1020	C₇	#3519	1	1	yes	characteristic, complemented, Sylow
1021	C₂²	—	2	1	no	—
1022	C₂²	—	2	1	no	—
1023	C₂²	—	2	1	no	—
1024	C₂²	—	2	1	no	—
1025	C₂²	—	2	1	no	—
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	2	1	no	—
1030	C₂²	—	2	1	no	—
1031	C₂²	—	2	1	no	—
1032	C₂²	—	2	1	no	—
1033	C₂²	—	2	1	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	1	no	—
1036	C₂²	—	2	1	no	—
1037	C₂²	—	4	4	no	—
1038	C₂²	—	7	2	no	—
1039	C₂²	—	8	2	no	—
1040	C₂²	—	14	1	no	—
1041	C₂²	—	14	1	no	—
1042	C₂²	—	14	1	no	—
1043	C₂²	—	14	1	no	—
1044	C₂²	—	14	1	no	—
1045	C₂²	—	14	1	no	—
1046	C₂²	—	14	1	no	—
1047	C₂²	—	14	1	no	—
1048	C₂²	—	14	1	no	—
1049	C₂²	—	14	1	no	—
1050	C₂²	—	14	1	no	—
1051	C₂²	—	14	1	no	—
1052	C₂²	—	14	1	no	—
1053	C₂²	—	14	1	no	—
1054	C₂²	—	28	4	no	—
1055	C₂²	—	56	2	no	—
1056	C₂²	—	56	2	no	—
1057	C₂²	—	56	2	no	—
1058	C₂²	#6548	1	2	yes	—
1059	C₂²	D₇×#41	1	2	yes	—
1060	C₂²	C₂⁴×D₇	1	1	yes	characteristic
1061	C₄	—	2	1	no	—
1062	C₄	—	2	1	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	2	1	no	—
1065	C₄	—	2	1	no	—
1066	C₄	—	2	1	no	—
1067	C₄	—	2	1	no	—
1068	C₄	—	2	1	no	—
1069	C₄	—	2	1	no	—
1070	C₄	—	7	2	no	—
1071	C₄	—	7	2	no	—
1072	C₄	—	14	1	no	—
1073	C₄	—	14	1	no	—
1074	C₄	—	14	1	no	—
1075	C₄	—	14	1	no	—
1076	C₄	—	14	1	no	—
1077	C₄	—	14	1	no	—
1078	C₄	—	14	1	no	—
1079	C₄	—	14	1	no	—
1080	C₄	—	14	1	no	—
1081	C₂	—	2	2	no	—
1082	C₂	—	2	2	no	—
1083	C₂	—	4	1	no	—
1084	C₂	—	4	1	no	—
1085	C₂	—	4	1	no	—
1086	C₂	—	4	1	no	—
1087	C₂	—	14	2	no	—
1088	C₂	—	28	1	no	—
1089	C₂	—	28	1	no	—
1090	C₂	—	28	1	no	—
1091	C₂	—	28	1	no	—
1092	C₂	C₂×#6548	1	1	yes	characteristic
1093	C₂	C₂×D₇×#41	1	1	yes	characteristic
1094	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×#546	C₂
hypercenter	#546	D₇
hypocenter	C₇	#3519
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. C₇×#546	C₂	semidirect
2. #90523	C₂	semidirect
3. #90520	C₂	semidirect
4. C₂×#6502	C₂	semidirect
5. D₄×C₂²⋊D₇	C₂	semidirect
6. #90369	C₂	semidirect
7. #90361	C₂	semidirect
8. #90354	C₂	semidirect
9. #90352	C₂	semidirect
10. #90345	C₂	semidirect
11. #90340	C₂	semidirect
12. #90335	C₂	semidirect
13. #90327	C₂	semidirect
14. #90306	C₂	semidirect
15. #90304	C₂	semidirect
16. #90301	C₂	semidirect
17. D₇×#121	C₂	semidirect
18. #90292	C₂	semidirect
19. #90290	C₂	semidirect
20. #90284	C₂	semidirect
21. #90281	C₂	semidirect
22. #90281	C₂	semidirect
23. #90277	C₂	semidirect
24. #90238	C₂	semidirect
25. #90236	C₂	semidirect
26. #90231	C₂	semidirect
27. #90231	C₂	semidirect
28. #90181	C₂	semidirect
29. #90181	C₂	semidirect
30. #90177	C₂	semidirect
31. C₂×(C₂²⋊D₇)⋊C₄	C₂	semidirect
32. C₂×C₇×#41	C₂²	semidirect
33. C₂²×C₇×D₄	C₂²	semidirect
36. C₂²×C₂²⋊D₇	C₂²	semidirect
37. C₂²×C₂²⋊D₇	C₂²	semidirect
38. C₂³×Dic₇	C₂²	semidirect
39. C₂×#1159	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. C₂×#1157	C₂²	semidirect
46. C₂²×C₄×D₇	C₂²	semidirect
47. C₇×#124	C₂²	semidirect
48. C₇×#123	C₂²	semidirect
49. C₇×#123	C₂²	semidirect
50. C₇×C₂²⋊Q₈	C₂²	semidirect
51. C₇×#121	C₂²	semidirect
52. C₇×#121	C₂²	semidirect
53. C₇×#121	C₂²	semidirect
54. C₇×#120	C₂²	semidirect
55. C₇×#120	C₂²	semidirect
56. C₄×C₇×D₄	C₂²	semidirect
57. C₄×C₇×D₄	C₂²	semidirect
58. C₂×C₇×C₂²⋊C₄	C₂²	semidirect
59. C₂×C₇×C₂²⋊C₄	C₂²	semidirect
60. #6516	C₂²	semidirect
61. #6516	C₂²	semidirect
62. C₂×C₂²⋊Dic₇	C₂²	semidirect
63. #6510	C₂²	semidirect
64. #6510	C₂²	semidirect
65. #6509	C₂²	semidirect
66. #6507	C₂²	semidirect
67. #6503	C₂²	semidirect
68. #6503	C₂²	semidirect
69. #6503	C₂²	semidirect
71. #6502	C₂²	semidirect
72. #6502	C₂²	semidirect
73. #6502	C₂²	semidirect
74. #6502	C₂²	semidirect
75. #6502	C₂²	semidirect
76. #6502	C₂²	semidirect
77. #6502	C₂²	semidirect
78. #6502	C₂²	semidirect
79. #6502	C₂²	semidirect
80. #6502	C₂²	semidirect
81. #6502	C₂²	semidirect
82. #6502	C₂²	semidirect
83. #6502	C₂²	semidirect
84. #6502	C₂²	semidirect
85. #6502	C₂²	semidirect
86. #6501	C₂²	semidirect
87. #6501	C₂²	semidirect
88. #6500	C₂²	semidirect
89. #6500	C₂²	semidirect
90. #6500	C₂²	semidirect
91. #6500	C₂²	semidirect
92. #6499	C₂²	semidirect
93. #6498	C₂²	semidirect
94. #6498	C₂²	semidirect
95. D₄×Dic₇	C₂²	semidirect
96. D₄×Dic₇	C₂²	semidirect
97. D₄×Dic₇	C₂²	semidirect
98. #6493	C₂²	semidirect
99. #6493	C₂²	semidirect
100. #6493	C₂²	semidirect
101. #6492	C₂²	semidirect
102. #6492	C₂²	semidirect
103. #6492	C₂²	semidirect
105. C₄×C₂²⋊D₇	C₂²	semidirect
106. C₄×C₂²⋊D₇	C₂²	semidirect
107. C₄×C₂²⋊D₇	C₂²	semidirect
108. C₄×C₂²⋊D₇	C₂²	semidirect
109. C₄×C₂²⋊D₇	C₂²	semidirect
110. C₄×C₂²⋊D₇	C₂²	semidirect
111. C₄×C₂²⋊D₇	C₂²	semidirect
112. C₄×C₂²⋊D₇	C₂²	semidirect
113. C₂×(C₂×D₇)⋊C₄	C₂²	semidirect
114. C₂×(C₂×D₇)⋊C₄	C₂²	semidirect
115. C₂×(C₂×D₇)⋊C₄	C₂²	semidirect
116. C₂×Dic₇⋊C₄	C₂²	semidirect
117. C₂×Dic₇⋊C₄	C₂²	semidirect
118. C₂×C₄×Dic₇	C₂²	semidirect
119. #6461	C₂²	semidirect
120. #6461	C₂²	semidirect
121. #6459	C₂²	semidirect
122. #6459	C₂²	semidirect
123. #6458	C₂²	semidirect
124. #6458	C₂²	semidirect
125. #6457	C₂²	semidirect
126. #6457	C₂²	semidirect
127. #6457	C₂²	semidirect
128. #6456	C₂²	semidirect
129. #6455	C₂²	semidirect
130. D₇×C₄⋊C₄	C₂²	semidirect
131. #6452	C₂²	semidirect
132. #6452	C₂²	semidirect
133. #6452	C₂²	semidirect
134. #6450	C₂²	semidirect
135. #6449	C₂²	semidirect
136. #6448	C₂²	semidirect
137. #6448	C₂²	semidirect
138. #6448	C₂²	semidirect
139. #6447	C₂²	semidirect
140. #6447	C₂²	semidirect
141. #6447	C₂²	semidirect
142. #6447	C₂²	semidirect
143. #6447	C₂²	semidirect
144. #6447	C₂²	semidirect
145. #6447	C₂²	semidirect
146. #6447	C₂²	semidirect
147. #6447	C₂²	semidirect
148. #6446	C₂²	semidirect
149. #6446	C₂²	semidirect
150. #6446	C₂²	semidirect
151. #6445	C₂²	semidirect
152. #6445	C₂²	semidirect
153. #6445	C₂²	semidirect
154. #6445	C₂²	semidirect
158. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
159. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
160. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
161. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
162. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
163. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
164. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
165. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
166. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
167. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
168. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
169. (C₂²⋊D₇)⋊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. #6442	C₂²	semidirect
175. #6442	C₂²	semidirect
176. #6442	C₂²	semidirect
177. #6441	C₂²	semidirect
178. #6441	C₂²	semidirect
179. #6441	C₂²	semidirect
180. #6440	C₂²	semidirect
181. #6440	C₂²	semidirect
182. #6440	C₂²	semidirect
183. #6439	C₂²	semidirect
184. C₄×D₂₈	C₂²	semidirect
185. #6435	C₂²	semidirect
186. #6435	C₂²	semidirect
370. #546	D₇	semidirect
464. C₂²⋊D₇	#41	semidirect
508. C₂×#41	C₂×D₇	semidirect
517. C₂²×D₄	C₂×D₇	semidirect
539. #124	C₂×D₇	semidirect
552. #123	C₂×D₇	semidirect
553. #123	C₂×D₇	semidirect
560. C₂²⋊Q₈	C₂×D₇	semidirect
593. #121	C₂×D₇	semidirect
594. #121	C₂×D₇	semidirect
595. #121	C₂×D₇	semidirect
606. #120	C₂×D₇	semidirect
607. #120	C₂×D₇	semidirect
638. C₄×D₄	C₂×D₇	semidirect
639. C₄×D₄	C₂×D₇	semidirect
657. C₂×C₂²⋊C₄	C₂×D₇	semidirect
658. C₂×C₂²⋊C₄	C₂×D₇	semidirect
1020. C₇	#3519	semidirect

Maximal subgroups

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

subgroup	index
C₇×#546	2
#90523	2
#90520	2
C₂×#6502	2
D₄×C₂²⋊D₇	2
#90369	2
#90361	2
#90354	2
#90352	2
#90345	2
#90340	2
#90335	2
#90327	2
#90306	2
#90304	2
#90301	2
D₇×#121	2
#90292	2
#90290	2
#90284	2
#90281	2
#90277	2
#90238	2
#90236	2
#90231	2
#90181	2
#90177	2
C₂×(C₂²⋊D₇)⋊C₄	2
#3519	7