Subgroups — C₇×#34437 #13211653

Order 1792.

2810 conjugacy classes of subgroups.

The subgroup lattice has 1056 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#534	C₂	1	1	yes	maximal, characteristic
2	C₇×#2376	C₂	1	2	yes	maximal, complemented
3	C₇×#2375	C₂	1	2	yes	maximal, complemented
4	C₇×#2374	C₂	1	2	yes	maximal, complemented
5	C₇×#2364	C₂	1	2	yes	maximal, complemented
6	C₇×#2361	C₂	1	2	yes	maximal, complemented
7	C₇×#2358	C₂	1	2	yes	maximal, complemented
8	C₇×D₄×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
9	C₇×D₄×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
10	C₇×#2335	C₂	1	2	yes	maximal, complemented
11	C₇×#2335	C₂	1	2	yes	maximal, complemented
12	C₇×#2325	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2325	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2321	C₂	1	2	yes	maximal, complemented
15	C₇×#2321	C₂	1	2	yes	maximal, complemented
16	C₇×#2312	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₇×#388	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×C₇×D₄	C₂²	1	2	yes	—
21	C₇×#534	C₄	1	16	yes	complemented
22	C₂×C₇×#123	C₂²	1	2	yes	—
23	C₂×C₇×#123	C₂²	1	2	yes	—
24	C₂×C₇×#121	C₂²	1	1	yes	characteristic
25	C₂×C₇×#121	C₂²	1	1	yes	characteristic
26	C₂×C₇×#121	C₂²	1	2	yes	—
27	C₂×C₇×#120	C₂²	1	2	yes	—
28	C₂×C₇×#120	C₂²	1	2	yes	—
29	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
31	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
32	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
34	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
35	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
36	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
40	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
41	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
42	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
43	C₇×#390	C₂²	1	2	yes	—
44	C₇×#390	C₂²	1	2	yes	—
45	C₇×#390	C₂²	1	2	yes	—
46	C₇×#390	C₂²	1	2	yes	—
47	C₇×#390	C₂²	1	1	yes	characteristic, complemented
48	C₇×#390	C₂²	1	1	yes	characteristic, complemented
49	C₇×#390	C₂²	1	2	yes	complemented
50	C₇×#389	C₂²	1	1	yes	characteristic, complemented
51	C₇×#389	C₂²	1	1	yes	characteristic, complemented
52	C₇×#389	C₂²	1	2	yes	complemented
53	C₇×#388	C₂²	1	2	yes	complemented
54	C₇×#388	C₂²	1	2	yes	complemented
55	C₇×#388	C₂²	1	2	yes	complemented
56	C₇×#388	C₂²	1	2	yes	complemented
57	C₇×#388	C₂²	1	2	yes	complemented
58	C₇×#388	C₂²	1	2	yes	complemented
59	C₇×#388	C₂²	1	2	yes	complemented
60	C₇×#388	C₂²	1	2	yes	complemented
61	C₇×#388	C₂²	1	2	yes	complemented
62	C₇×#388	C₂²	1	2	yes	complemented
63	C₇×#388	C₂²	1	2	yes	complemented
64	C₇×#388	C₂²	1	2	yes	complemented
65	C₇×#388	C₂²	1	2	yes	complemented
66	C₇×#388	C₂²	1	2	yes	complemented
67	C₇×#388	C₂²	1	2	yes	complemented
68	C₇×#388	C₂²	1	2	yes	complemented
69	C₇×#387	C₂²	1	2	yes	complemented
70	C₇×#387	C₂²	1	2	yes	complemented
71	C₇×#387	C₂²	1	2	yes	complemented
72	C₇×#387	C₂²	1	2	yes	complemented
73	C₇×#386	C₂²	1	2	yes	—
74	C₇×#386	C₂²	1	2	yes	—
75	C₇×#386	C₂²	1	2	yes	—
76	C₇×#386	C₂²	1	2	yes	—
77	C₇×#386	C₂²	1	2	yes	complemented
78	C₇×#386	C₂²	1	2	yes	complemented
79	C₇×#386	C₂²	1	2	yes	complemented
80	C₇×#386	C₂²	1	2	yes	complemented
81	C₇×#386	C₂²	1	2	yes	complemented
82	C₇×#386	C₂²	1	2	yes	complemented
83	C₇×#386	C₂²	1	2	yes	complemented
84	C₇×#386	C₂²	1	2	yes	complemented
85	C₇×#385	C₂²	1	2	yes	complemented
86	C₇×#385	C₂²	1	2	yes	complemented
87	C₇×#385	C₂²	1	2	yes	complemented
88	C₇×#385	C₂²	1	2	yes	complemented
89	C₇×#380	C₂²	1	1	yes	characteristic, complemented
90	C₇×#380	C₂²	1	1	yes	characteristic, complemented
91	C₇×#380	C₂²	1	2	yes	complemented
92	C₇×#380	C₂²	1	2	yes	complemented
93	C₇×#379	C₂²	1	2	yes	—
94	C₇×#379	C₂²	1	2	yes	complemented
95	C₇×#379	C₂²	1	2	yes	complemented
96	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
97	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
98	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
99	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
100	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
101	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
102	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
103	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
104	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
105	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
106	C₂×C₇×#95	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₇×#95	C₂²	1	1	yes	characteristic, complemented
108	#34437	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
109	C₂⁵×C₇	C₂³	1	1	yes	characteristic
110	C₂⁵×C₇	C₂³	1	2	yes	—
111	C₂²×C₇×D₄	—	4	4	no	—
112	C₂²×C₇×D₄	—	4	4	no	—
113	C₂²×C₇×D₄	C₂×C₄	1	16	yes	complemented
114	C₂²×C₇×D₄	C₂³	1	2	yes	—
115	C₂²×C₇×D₄	C₂³	1	2	yes	—
116	C₂²×C₇×D₄	C₂³	1	2	yes	—
117	C₂²×C₇×D₄	C₂³	1	2	yes	—
118	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
119	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
120	C₂²×C₇×D₄	C₂³	1	2	yes	—
121	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
125	C₂³×C₄×C₇	C₂³	1	2	yes	—
126	C₂³×C₄×C₇	C₂³	1	2	yes	—
127	C₂³×C₄×C₇	C₂³	1	2	yes	—
128	C₂³×C₄×C₇	C₂³	1	2	yes	—
129	C₂³×C₄×C₇	C₂³	1	2	yes	—
130	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
132	C₇×#123	C₂×C₄	1	16	yes	complemented
133	C₇×#123	C₂×C₄	1	16	yes	complemented
134	C₇×#121	C₂×C₄	1	8	yes	complemented
135	C₇×#121	C₂×C₄	1	8	yes	complemented
136	C₇×#121	C₂×C₄	1	16	yes	complemented
137	C₇×#120	C₂×C₄	1	16	yes	complemented
138	C₇×#120	C₂×C₄	1	16	yes	complemented
139	C₄×C₇×D₄	—	4	2	no	—
140	C₄×C₇×D₄	—	4	2	no	—
141	C₄×C₇×D₄	—	4	4	no	—
142	C₄×C₇×D₄	—	4	4	no	—
143	C₄×C₇×D₄	—	4	4	no	—
144	C₄×C₇×D₄	—	4	4	no	—
145	C₄×C₇×D₄	—	4	4	no	—
146	C₂×C₇×C₄⋊C₄	—	4	2	no	—
147	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
148	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
149	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
150	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
153	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
154	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
155	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
156	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
158	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₇×C₂²⋊C₄	—	4	2	no	—
161	C₂×C₇×C₂²⋊C₄	—	4	2	no	—
162	C₂×C₇×C₂²⋊C₄	—	4	4	no	—
163	C₂×C₇×C₂²⋊C₄	—	4	4	no	—
164	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
165	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₄²×C₇	—	4	2	no	—
194	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
196	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₇	C₂³	1	2	yes	—
199	C₂×C₄²×C₇	C₂³	1	2	yes	—
200	C₂×C₄²×C₇	C₂³	1	2	yes	—
201	C₂×C₄²×C₇	C₂³	1	2	yes	—
202	C₂×C₄²×C₇	C₂³	1	2	yes	—
203	C₂×C₄²×C₇	C₂³	1	2	yes	—
204	C₇×#95	C₂³	1	2	yes	—
205	C₇×#95	C₂³	1	2	yes	—
206	C₇×#95	C₂³	1	2	yes	—
207	C₇×#95	C₂³	1	2	yes	—
208	C₇×#95	C₂³	1	2	yes	—
209	C₇×#95	C₂³	1	2	yes	—
210	C₇×#95	C₂³	1	2	yes	—
211	C₇×#95	C₂³	1	2	yes	—
212	C₇×#95	C₂³	1	2	yes	—
213	C₇×#95	C₂³	1	2	yes	—
214	C₇×#95	C₂³	1	2	yes	—
215	C₇×#95	C₂³	1	2	yes	—
216	C₇×#95	C₂³	1	2	yes	—
217	C₇×#95	C₂³	1	2	yes	—
218	C₇×#95	C₂³	1	2	yes	—
219	C₇×#95	C₂³	1	2	yes	—
220	C₂×#534	C₂×C₇	1	1	yes	characteristic
221	#2376	C₂×C₇	1	2	yes	complemented
222	#2375	C₂×C₇	1	2	yes	complemented
223	#2374	C₂×C₇	1	2	yes	complemented
224	#2364	C₂×C₇	1	2	yes	complemented
225	#2361	C₂×C₇	1	2	yes	complemented
226	#2358	C₂×C₇	1	2	yes	complemented
227	D₄×C₂²⋊C₄	C₂×C₇	1	2	yes	complemented
228	D₄×C₂²⋊C₄	C₂×C₇	1	2	yes	complemented
229	#2335	C₂×C₇	1	2	yes	complemented
230	#2335	C₂×C₇	1	2	yes	complemented
231	#2325	C₂×C₇	1	1	yes	characteristic, complemented
232	#2325	C₂×C₇	1	1	yes	characteristic, complemented
233	#2321	C₂×C₇	1	2	yes	complemented
234	#2321	C₂×C₇	1	2	yes	complemented
235	#2312	C₂×C₇	1	1	yes	characteristic, complemented
236	C₄×#121	C₂×C₇	1	1	yes	characteristic, complemented
237	C₄×#121	C₂×C₇	1	1	yes	characteristic, complemented
238	C₂×#388	C₂×C₇	1	1	yes	characteristic, complemented
239	C₂⁴×C₇	—	2	2	no	—
240	C₂⁴×C₇	—	2	2	no	—
241	C₂⁴×C₇	—	4	1	no	—
242	C₂⁴×C₇	—	4	1	no	—
243	C₂⁴×C₇	—	4	2	no	—
244	C₂⁴×C₇	—	4	2	no	—
245	C₂⁴×C₇	—	4	2	no	—
246	C₂⁴×C₇	—	4	2	no	—
247	C₂⁴×C₇	—	4	1	no	—
248	C₂⁴×C₇	—	4	1	no	—
249	C₂⁴×C₇	—	4	2	no	—
250	C₂⁴×C₇	—	4	2	no	—
251	C₂⁴×C₇	C₂²×C₄	1	4	yes	—
252	C₂⁴×C₇	C₂²×C₄	1	8	yes	—
253	C₂⁴×C₇	C₂⁴	1	2	yes	—
254	C₂⁴×C₇	C₂⁴	1	2	yes	—
255	C₂⁴×C₇	C₂⁴	1	2	yes	—
256	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
257	C₂×C₇×D₄	—	2	4	no	—
258	C₂×C₇×D₄	—	2	4	no	—
259	C₂×C₇×D₄	—	2	4	no	—
260	C₂×C₇×D₄	—	2	4	no	—
261	C₂×C₇×D₄	—	4	1	no	—
262	C₂×C₇×D₄	—	4	1	no	—
263	C₂×C₇×D₄	—	4	2	no	—
264	C₂×C₇×D₄	—	4	2	no	—
265	C₂×C₇×D₄	—	4	2	no	—
266	C₂×C₇×D₄	—	4	2	no	—
267	C₂×C₇×D₄	—	4	2	no	—
268	C₂×C₇×D₄	—	4	2	no	—
269	C₂×C₇×D₄	—	4	1	no	—
270	C₂×C₇×D₄	—	4	1	no	—
271	C₂×C₇×D₄	—	4	32	no	—
272	C₂×C₇×D₄	C₂²×C₄	1	8	yes	—
273	C₂×C₇×D₄	C₂²×C₄	1	8	yes	—
274	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
275	C₂×C₇×D₄	C₂²×C₄	1	8	yes	—
276	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
277	C₂×C₇×D₄	C₂²×C₄	1	8	yes	—
278	C₂×C₇×D₄	C₂²×C₄	1	8	yes	—
279	C₂²×C₄×C₇	—	2	2	no	—
280	C₂²×C₄×C₇	—	2	2	no	—
281	C₂²×C₄×C₇	—	2	2	no	—
282	C₂²×C₄×C₇	—	2	2	no	—
283	C₂²×C₄×C₇	—	2	2	no	—
284	C₂²×C₄×C₇	—	2	2	no	—
285	C₂²×C₄×C₇	—	2	4	no	—
286	C₂²×C₄×C₇	—	2	4	no	—
287	C₂²×C₄×C₇	—	4	1	no	—
288	C₂²×C₄×C₇	—	4	1	no	—
289	C₂²×C₄×C₇	—	4	1	no	—
290	C₂²×C₄×C₇	—	4	1	no	—
291	C₂²×C₄×C₇	—	4	1	no	—
292	C₂²×C₄×C₇	—	4	1	no	—
293	C₂²×C₄×C₇	—	4	2	no	—
294	C₂²×C₄×C₇	—	4	2	no	—
295	C₂²×C₄×C₇	—	4	2	no	—
296	C₂²×C₄×C₇	—	4	1	no	—
297	C₂²×C₄×C₇	—	4	1	no	—
298	C₂²×C₄×C₇	—	4	2	no	—
299	C₂²×C₄×C₇	—	4	1	no	—
300	C₂²×C₄×C₇	—	4	2	no	—
301	C₂²×C₄×C₇	—	4	2	no	—
302	C₂²×C₄×C₇	—	4	2	no	—
303	C₂²×C₄×C₇	—	4	2	no	—
304	C₂²×C₄×C₇	—	4	2	no	—
305	C₂²×C₄×C₇	—	4	2	no	—
306	C₂²×C₄×C₇	—	4	2	no	—
307	C₂²×C₄×C₇	—	4	2	no	—
308	C₂²×C₄×C₇	—	4	1	no	—
309	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
310	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
311	C₂²×C₄×C₇	C₂²×C₄	1	8	yes	—
312	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
314	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
316	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
327	C₇×C₄⋊C₄	—	2	4	no	—
328	C₇×C₄⋊C₄	—	4	2	no	—
329	C₇×C₄⋊C₄	—	4	1	no	—
330	C₇×C₄⋊C₄	—	4	1	no	—
331	C₇×C₄⋊C₄	—	4	1	no	—
332	C₇×C₄⋊C₄	—	4	1	no	—
333	C₇×C₄⋊C₄	—	4	2	no	—
334	C₇×C₄⋊C₄	—	4	2	no	—
335	C₇×C₄⋊C₄	—	4	2	no	—
336	C₇×C₄⋊C₄	—	4	2	no	—
337	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
338	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
339	C₇×C₄⋊C₄	C₂²×C₄	1	8	yes	—
340	C₇×C₂²⋊C₄	—	2	4	no	—
341	C₇×C₂²⋊C₄	—	2	4	no	—
342	C₇×C₂²⋊C₄	—	2	4	no	—
343	C₇×C₂²⋊C₄	—	2	4	no	—
344	C₇×C₂²⋊C₄	—	2	4	no	—
345	C₇×C₂²⋊C₄	—	2	4	no	—
346	C₇×C₂²⋊C₄	—	4	2	no	—
347	C₇×C₂²⋊C₄	—	4	2	no	—
348	C₇×C₂²⋊C₄	—	4	2	no	—
349	C₇×C₂²⋊C₄	—	4	2	no	—
350	C₇×C₂²⋊C₄	—	4	2	no	—
351	C₇×C₂²⋊C₄	—	4	2	no	—
352	C₇×C₂²⋊C₄	—	4	2	no	—
353	C₇×C₂²⋊C₄	—	4	2	no	—
354	C₇×C₂²⋊C₄	—	4	2	no	—
355	C₇×C₂²⋊C₄	—	4	2	no	—
356	C₇×C₂²⋊C₄	—	4	2	no	—
357	C₇×C₂²⋊C₄	—	4	2	no	—
358	C₇×C₂²⋊C₄	—	4	2	no	—
359	C₇×C₂²⋊C₄	—	4	2	no	—
360	C₇×C₂²⋊C₄	—	4	2	no	—
361	C₇×C₂²⋊C₄	—	4	2	no	—
362	C₇×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
363	C₇×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
364	C₇×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
365	C₇×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
366	C₇×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
367	C₇×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
368	C₄²×C₇	—	2	2	no	—
369	C₄²×C₇	—	2	2	no	—
370	C₄²×C₇	—	4	1	no	—
371	C₄²×C₇	—	4	1	no	—
372	C₄²×C₇	—	4	2	no	—
373	C₄²×C₇	—	4	2	no	—
374	C₄²×C₇	—	4	2	no	—
375	C₄²×C₇	—	4	2	no	—
376	C₄²×C₇	—	4	2	no	—
377	C₄²×C₇	—	4	2	no	—
378	C₂³×D₄	C₂²×C₇	1	2	yes	—
379	#534	C₄×C₇	1	16	yes	complemented
380	C₂×#123	C₂²×C₇	1	2	yes	—
381	C₂×#123	C₂²×C₇	1	2	yes	—
382	C₂×#121	C₂²×C₇	1	1	yes	characteristic
383	C₂×#121	C₂²×C₇	1	1	yes	characteristic
384	C₂×#121	C₂²×C₇	1	2	yes	—
385	C₂×#120	C₂²×C₇	1	2	yes	—
386	C₂×#120	C₂²×C₇	1	2	yes	—
387	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
388	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
389	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
390	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
391	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
392	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
393	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
394	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
395	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
396	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
397	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
398	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
399	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
400	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
401	#390	C₂²×C₇	1	2	yes	—
402	#390	C₂²×C₇	1	2	yes	—
403	#390	C₂²×C₇	1	2	yes	—
404	#390	C₂²×C₇	1	2	yes	—
405	#390	C₂²×C₇	1	1	yes	characteristic, complemented
406	#390	C₂²×C₇	1	2	yes	complemented
407	#390	C₂²×C₇	1	1	yes	characteristic, complemented
408	#389	C₂²×C₇	1	1	yes	characteristic, complemented
409	#389	C₂²×C₇	1	2	yes	complemented
410	#389	C₂²×C₇	1	1	yes	characteristic, complemented
411	#388	C₂²×C₇	1	2	yes	complemented
412	#388	C₂²×C₇	1	2	yes	complemented
413	#388	C₂²×C₇	1	2	yes	complemented
414	#388	C₂²×C₇	1	2	yes	complemented
415	#388	C₂²×C₇	1	2	yes	complemented
416	#388	C₂²×C₇	1	2	yes	complemented
417	#388	C₂²×C₇	1	2	yes	complemented
418	#388	C₂²×C₇	1	2	yes	complemented
419	#388	C₂²×C₇	1	2	yes	complemented
420	#388	C₂²×C₇	1	2	yes	complemented
421	#388	C₂²×C₇	1	2	yes	complemented
422	#388	C₂²×C₇	1	2	yes	complemented
423	#388	C₂²×C₇	1	2	yes	complemented
424	#388	C₂²×C₇	1	2	yes	complemented
425	#388	C₂²×C₇	1	2	yes	complemented
426	#388	C₂²×C₇	1	2	yes	complemented
427	#387	C₂²×C₇	1	2	yes	complemented
428	#387	C₂²×C₇	1	2	yes	complemented
429	#387	C₂²×C₇	1	2	yes	complemented
430	#387	C₂²×C₇	1	2	yes	complemented
431	#386	C₂²×C₇	1	2	yes	—
432	#386	C₂²×C₇	1	2	yes	—
433	#386	C₂²×C₇	1	2	yes	—
434	#386	C₂²×C₇	1	2	yes	—
435	#386	C₂²×C₇	1	2	yes	complemented
436	#386	C₂²×C₇	1	2	yes	complemented
437	#386	C₂²×C₇	1	2	yes	complemented
438	#386	C₂²×C₇	1	2	yes	complemented
439	#386	C₂²×C₇	1	2	yes	complemented
440	#386	C₂²×C₇	1	2	yes	complemented
441	#386	C₂²×C₇	1	2	yes	complemented
442	#386	C₂²×C₇	1	2	yes	complemented
443	#385	C₂²×C₇	1	2	yes	complemented
444	#385	C₂²×C₇	1	2	yes	complemented
445	#385	C₂²×C₇	1	2	yes	complemented
446	#385	C₂²×C₇	1	2	yes	complemented
447	#380	C₂²×C₇	1	1	yes	characteristic, complemented
448	#380	C₂²×C₇	1	1	yes	characteristic, complemented
449	#380	C₂²×C₇	1	2	yes	complemented
450	#380	C₂²×C₇	1	2	yes	complemented
451	#379	C₂²×C₇	1	2	yes	—
452	#379	C₂²×C₇	1	2	yes	complemented
453	#379	C₂²×C₇	1	2	yes	complemented
454	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
455	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
456	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
457	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
458	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
459	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
460	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
461	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
462	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
463	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
464	C₂×#95	C₂²×C₇	1	1	yes	characteristic, complemented
465	C₂×#95	C₂²×C₇	1	1	yes	characteristic, complemented
466	C₂³×C₇	—	2	1	no	—
467	C₂³×C₇	—	2	1	no	—
468	C₂³×C₇	—	2	1	no	—
469	C₂³×C₇	—	2	1	no	—
470	C₂³×C₇	—	2	2	no	—
471	C₂³×C₇	—	2	2	no	—
472	C₂³×C₇	—	2	2	no	—
473	C₂³×C₇	—	2	2	no	—
474	C₂³×C₇	—	2	2	no	—
475	C₂³×C₇	—	2	2	no	—
476	C₂³×C₇	—	2	2	no	—
477	C₂³×C₇	—	2	2	no	—
478	C₂³×C₇	—	2	2	no	—
479	C₂³×C₇	—	2	2	no	—
480	C₂³×C₇	—	2	2	no	—
481	C₂³×C₇	—	2	2	no	—
482	C₂³×C₇	—	2	2	no	—
483	C₂³×C₇	—	2	2	no	—
484	C₂³×C₇	—	2	2	no	—
485	C₂³×C₇	—	2	2	no	—
486	C₂³×C₇	—	2	2	no	—
487	C₂³×C₇	—	2	2	no	—
488	C₂³×C₇	—	2	8	no	—
489	C₂³×C₇	—	4	8	no	—
490	C₂³×C₇	—	4	4	no	—
491	C₂³×C₇	—	4	4	no	—
492	C₂³×C₇	—	4	8	no	—
493	C₂³×C₇	—	4	8	no	—
494	C₂³×C₇	—	8	2	no	—
495	C₂³×C₇	—	8	2	no	—
496	C₂³×C₇	—	8	2	no	—
497	C₂³×C₇	—	8	2	no	—
498	C₂³×C₇	—	8	4	no	—
499	C₂³×C₇	—	8	4	no	—
500	C₂³×C₇	—	8	4	no	—
501	C₂³×C₇	—	8	4	no	—
502	C₂³×C₇	C₂³×C₄	1	4	yes	—
503	C₂³×C₇	C₂³×C₄	1	4	yes	—
504	C₂³×C₇	C₂³×C₄	1	4	yes	—
505	C₂³×C₇	C₂³×C₄	1	2	yes	—
506	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
507	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
508	C₂³×C₇	C₂⁵	1	1	yes	characteristic
509	C₇×D₄	—	2	16	no	—
510	C₇×D₄	—	2	16	no	—
511	C₇×D₄	—	4	8	no	—
512	C₇×D₄	—	4	8	no	—
513	C₇×D₄	—	4	4	no	—
514	C₇×D₄	—	4	4	no	—
515	C₇×D₄	—	4	8	no	—
516	C₂×C₄×C₇	—	2	1	no	—
517	C₂×C₄×C₇	—	2	1	no	—
518	C₂×C₄×C₇	—	2	1	no	—
519	C₂×C₄×C₇	—	2	1	no	—
520	C₂×C₄×C₇	—	2	1	no	—
521	C₂×C₄×C₇	—	2	2	no	—
522	C₂×C₄×C₇	—	2	2	no	—
523	C₂×C₄×C₇	—	2	2	no	—
524	C₂×C₄×C₇	—	2	2	no	—
525	C₂×C₄×C₇	—	2	2	no	—
526	C₂×C₄×C₇	—	2	2	no	—
527	C₂×C₄×C₇	—	2	1	no	—
528	C₂×C₄×C₇	—	2	1	no	—
529	C₂×C₄×C₇	—	2	1	no	—
530	C₂×C₄×C₇	—	2	1	no	—
531	C₂×C₄×C₇	—	2	2	no	—
532	C₂×C₄×C₇	—	2	1	no	—
533	C₂×C₄×C₇	—	2	2	no	—
534	C₂×C₄×C₇	—	2	2	no	—
535	C₂×C₄×C₇	—	2	2	no	—
536	C₂×C₄×C₇	—	2	2	no	—
537	C₂×C₄×C₇	—	2	2	no	—
538	C₂×C₄×C₇	—	2	2	no	—
539	C₂×C₄×C₇	—	2	2	no	—
540	C₂×C₄×C₇	—	2	2	no	—
541	C₂×C₄×C₇	—	2	2	no	—
542	C₂×C₄×C₇	—	2	2	no	—
543	C₂×C₄×C₇	—	2	2	no	—
544	C₂×C₄×C₇	—	2	1	no	—
545	C₂×C₄×C₇	—	2	1	no	—
546	C₂×C₄×C₇	—	2	1	no	—
547	C₂×C₄×C₇	—	2	2	no	—
548	C₂×C₄×C₇	—	2	2	no	—
549	C₂×C₄×C₇	—	2	2	no	—
550	C₂×C₄×C₇	—	2	2	no	—
551	C₂×C₄×C₇	—	2	1	no	—
552	C₂×C₄×C₇	—	2	2	no	—
553	C₂×C₄×C₇	—	2	2	no	—
554	C₂×C₄×C₇	—	4	4	no	—
555	C₂×C₄×C₇	—	4	4	no	—
556	C₂×C₄×C₇	—	4	8	no	—
557	C₂×C₄×C₇	—	4	4	no	—
558	C₂×C₄×C₇	—	4	4	no	—
559	C₂×C₄×C₇	—	8	4	no	—
560	C₂×C₄×C₇	—	8	4	no	—
561	C₂×C₄×C₇	—	8	2	no	—
562	C₂×C₄×C₇	—	8	2	no	—
563	C₂×C₄×C₇	—	8	4	no	—
564	C₂×C₄×C₇	—	8	4	no	—
565	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
566	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
567	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
568	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
569	C₂×C₄×C₇	C₂³×C₄	1	4	yes	—
570	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
571	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
572	C₂⁵	C₂³×C₇	1	1	yes	characteristic
573	C₂⁵	C₂³×C₇	1	2	yes	—
574	C₂²×D₄	—	4	4	no	—
575	C₂²×D₄	—	4	4	no	—
576	C₂²×D₄	C₂×C₄×C₇	1	16	yes	complemented
577	C₂²×D₄	C₂³×C₇	1	2	yes	—
578	C₂²×D₄	C₂³×C₇	1	2	yes	—
579	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
580	C₂²×D₄	C₂³×C₇	1	2	yes	—
581	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
582	C₂²×D₄	C₂³×C₇	1	2	yes	—
583	C₂²×D₄	C₂³×C₇	1	2	yes	—
584	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
585	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
586	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
587	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
588	C₂³×C₄	C₂³×C₇	1	2	yes	—
589	C₂³×C₄	C₂³×C₇	1	2	yes	—
590	C₂³×C₄	C₂³×C₇	1	2	yes	—
591	C₂³×C₄	C₂³×C₇	1	2	yes	—
592	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
593	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
594	C₂³×C₄	C₂³×C₇	1	2	yes	—
595	#123	C₂×C₄×C₇	1	16	yes	complemented
596	#123	C₂×C₄×C₇	1	16	yes	complemented
597	#121	C₂×C₄×C₇	1	8	yes	complemented
598	#121	C₂×C₄×C₇	1	8	yes	complemented
599	#121	C₂×C₄×C₇	1	16	yes	complemented
600	#120	C₂×C₄×C₇	1	16	yes	complemented
601	#120	C₂×C₄×C₇	1	16	yes	complemented
602	C₄×D₄	—	4	2	no	—
603	C₄×D₄	—	4	2	no	—
604	C₄×D₄	—	4	4	no	—
605	C₄×D₄	—	4	4	no	—
606	C₄×D₄	—	4	4	no	—
607	C₄×D₄	—	4	4	no	—
608	C₄×D₄	—	4	4	no	—
609	C₂×C₄⋊C₄	—	4	2	no	—
610	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
611	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
612	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
613	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
615	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
616	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
617	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
623	C₂×C₂²⋊C₄	—	4	2	no	—
624	C₂×C₂²⋊C₄	—	4	2	no	—
625	C₂×C₂²⋊C₄	—	4	4	no	—
626	C₂×C₂²⋊C₄	—	4	4	no	—
627	C₂×C₂²⋊C₄	C₂×C₄×C₇	1	8	yes	complemented
628	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
629	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
630	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
631	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
632	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
633	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
634	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
635	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
636	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
637	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
638	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
639	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
640	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
641	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
642	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
643	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
644	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
645	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
646	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
647	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
648	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
649	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
650	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
651	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
652	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
653	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
654	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
655	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
656	C₂×C₄²	—	4	2	no	—
657	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
658	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
659	C₂×C₄²	C₂³×C₇	1	2	yes	—
660	C₂×C₄²	C₂³×C₇	1	2	yes	—
661	C₂×C₄²	C₂³×C₇	1	2	yes	—
662	C₂×C₄²	C₂³×C₇	1	2	yes	—
663	C₂×C₄²	C₂³×C₇	1	2	yes	—
664	C₂×C₄²	C₂³×C₇	1	2	yes	—
665	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
666	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
667	#95	C₂³×C₇	1	2	yes	—
668	#95	C₂³×C₇	1	2	yes	—
669	#95	C₂³×C₇	1	2	yes	—
670	#95	C₂³×C₇	1	2	yes	—
671	#95	C₂³×C₇	1	2	yes	—
672	#95	C₂³×C₇	1	2	yes	—
673	#95	C₂³×C₇	1	2	yes	—
674	#95	C₂³×C₇	1	2	yes	—
675	#95	C₂³×C₇	1	2	yes	—
676	#95	C₂³×C₇	1	2	yes	—
677	#95	C₂³×C₇	1	2	yes	—
678	#95	C₂³×C₇	1	2	yes	—
679	#95	C₂³×C₇	1	2	yes	—
680	#95	C₂³×C₇	1	2	yes	—
681	#95	C₂³×C₇	1	2	yes	—
682	#95	C₂³×C₇	1	2	yes	—
683	C₂²×C₇	—	2	2	no	—
684	C₂²×C₇	—	2	2	no	—
685	C₂²×C₇	—	2	2	no	—
686	C₂²×C₇	—	2	2	no	—
687	C₂²×C₇	—	2	2	no	—
688	C₂²×C₇	—	2	2	no	—
689	C₂²×C₇	—	2	4	no	—
690	C₂²×C₇	—	2	4	no	—
691	C₂²×C₇	—	2	4	no	—
692	C₂²×C₇	—	2	4	no	—
693	C₂²×C₇	—	2	4	no	—
694	C₂²×C₇	—	2	4	no	—
695	C₂²×C₇	—	2	4	no	—
696	C₂²×C₇	—	2	4	no	—
697	C₂²×C₇	—	2	4	no	—
698	C₂²×C₇	—	4	2	no	—
699	C₂²×C₇	—	4	2	no	—
700	C₂²×C₇	—	4	2	no	—
701	C₂²×C₇	—	4	2	no	—
702	C₂²×C₇	—	4	2	no	—
703	C₂²×C₇	—	4	2	no	—
704	C₂²×C₇	—	4	2	no	—
705	C₂²×C₇	—	4	2	no	—
706	C₂²×C₇	—	4	2	no	—
707	C₂²×C₇	—	4	2	no	—
708	C₂²×C₇	—	4	2	no	—
709	C₂²×C₇	—	4	2	no	—
710	C₂²×C₇	—	8	8	no	—
711	C₂²×C₇	—	8	16	no	—
712	C₂²×C₇	#518	1	4	yes	—
713	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
714	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
715	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
716	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
717	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂²×C₇	#585	1	1	yes	characteristic
719	C₂²×C₇	#585	1	1	yes	characteristic
720	C₄×C₇	—	2	4	no	—
721	C₄×C₇	—	2	4	no	—
722	C₄×C₇	—	2	2	no	—
723	C₄×C₇	—	2	2	no	—
724	C₄×C₇	—	2	4	no	—
725	C₄×C₇	—	2	2	no	—
726	C₄×C₇	—	2	2	no	—
727	C₄×C₇	—	4	1	no	—
728	C₄×C₇	—	4	2	no	—
729	C₄×C₇	—	4	1	no	—
730	C₄×C₇	—	4	2	no	—
731	C₄×C₇	—	4	2	no	—
732	C₄×C₇	—	4	2	no	—
733	C₄×C₇	—	4	2	no	—
734	C₄×C₇	—	4	2	no	—
735	C₂⁴	—	2	2	no	—
736	C₂⁴	—	2	2	no	—
737	C₂⁴	—	4	1	no	—
738	C₂⁴	—	4	1	no	—
739	C₂⁴	—	4	2	no	—
740	C₂⁴	—	4	2	no	—
741	C₂⁴	—	4	2	no	—
742	C₂⁴	—	4	2	no	—
743	C₂⁴	—	4	1	no	—
744	C₂⁴	—	4	1	no	—
745	C₂⁴	—	4	2	no	—
746	C₂⁴	—	4	2	no	—
747	C₂⁴	C₂²×C₄×C₇	1	4	yes	—
748	C₂⁴	C₂²×C₄×C₇	1	8	yes	—
749	C₂⁴	C₂⁴×C₇	1	2	yes	—
750	C₂⁴	C₂⁴×C₇	1	2	yes	—
751	C₂⁴	C₂⁴×C₇	1	2	yes	—
752	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
753	C₂×D₄	—	2	4	no	—
754	C₂×D₄	—	2	4	no	—
755	C₂×D₄	—	2	4	no	—
756	C₂×D₄	—	2	4	no	—
757	C₂×D₄	—	4	1	no	—
758	C₂×D₄	—	4	1	no	—
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	4	2	no	—
761	C₂×D₄	—	4	2	no	—
762	C₂×D₄	—	4	2	no	—
763	C₂×D₄	—	4	2	no	—
764	C₂×D₄	—	4	2	no	—
765	C₂×D₄	—	4	1	no	—
766	C₂×D₄	—	4	1	no	—
767	C₂×D₄	—	4	32	no	—
768	C₂×D₄	C₂²×C₄×C₇	1	8	yes	—
769	C₂×D₄	C₂²×C₄×C₇	1	8	yes	—
770	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
771	C₂×D₄	C₂²×C₄×C₇	1	8	yes	—
772	C₂×D₄	C₂²×C₄×C₇	1	4	yes	—
773	C₂×D₄	C₂²×C₄×C₇	1	8	yes	—
774	C₂×D₄	C₂²×C₄×C₇	1	8	yes	—
775	C₂²×C₄	—	2	2	no	—
776	C₂²×C₄	—	2	2	no	—
777	C₂²×C₄	—	2	2	no	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	4	no	—
782	C₂²×C₄	—	2	4	no	—
783	C₂²×C₄	—	4	1	no	—
784	C₂²×C₄	—	4	1	no	—
785	C₂²×C₄	—	4	1	no	—
786	C₂²×C₄	—	4	2	no	—
787	C₂²×C₄	—	4	2	no	—
788	C₂²×C₄	—	4	1	no	—
789	C₂²×C₄	—	4	1	no	—
790	C₂²×C₄	—	4	1	no	—
791	C₂²×C₄	—	4	2	no	—
792	C₂²×C₄	—	4	1	no	—
793	C₂²×C₄	—	4	1	no	—
794	C₂²×C₄	—	4	2	no	—
795	C₂²×C₄	—	4	1	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	2	no	—
799	C₂²×C₄	—	4	2	no	—
800	C₂²×C₄	—	4	2	no	—
801	C₂²×C₄	—	4	2	no	—
802	C₂²×C₄	—	4	2	no	—
803	C₂²×C₄	—	4	2	no	—
804	C₂²×C₄	—	4	1	no	—
805	C₂²×C₄	C₂²×C₄×C₇	1	4	yes	—
806	C₂²×C₄	C₂²×C₄×C₇	1	4	yes	—
807	C₂²×C₄	C₂²×C₄×C₇	1	8	yes	—
808	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
809	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
810	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
814	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
815	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
816	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
819	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
820	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
821	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
823	C₄⋊C₄	—	2	4	no	—
824	C₄⋊C₄	—	4	2	no	—
825	C₄⋊C₄	—	4	1	no	—
826	C₄⋊C₄	—	4	1	no	—
827	C₄⋊C₄	—	4	2	no	—
828	C₄⋊C₄	—	4	2	no	—
829	C₄⋊C₄	—	4	2	no	—
830	C₄⋊C₄	—	4	2	no	—
831	C₄⋊C₄	—	4	1	no	—
832	C₄⋊C₄	—	4	1	no	—
833	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
834	C₄⋊C₄	C₂²×C₄×C₇	1	4	yes	—
835	C₄⋊C₄	C₂²×C₄×C₇	1	8	yes	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	4	no	—
838	C₂²⋊C₄	—	2	4	no	—
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	4	no	—
841	C₂²⋊C₄	—	2	4	no	—
842	C₂²⋊C₄	—	4	2	no	—
843	C₂²⋊C₄	—	4	2	no	—
844	C₂²⋊C₄	—	4	2	no	—
845	C₂²⋊C₄	—	4	2	no	—
846	C₂²⋊C₄	—	4	2	no	—
847	C₂²⋊C₄	—	4	2	no	—
848	C₂²⋊C₄	—	4	2	no	—
849	C₂²⋊C₄	—	4	2	no	—
850	C₂²⋊C₄	—	4	2	no	—
851	C₂²⋊C₄	—	4	2	no	—
852	C₂²⋊C₄	—	4	2	no	—
853	C₂²⋊C₄	—	4	2	no	—
854	C₂²⋊C₄	—	4	2	no	—
855	C₂²⋊C₄	—	4	2	no	—
856	C₂²⋊C₄	—	4	2	no	—
857	C₂²⋊C₄	—	4	2	no	—
858	C₂²⋊C₄	C₂²×C₄×C₇	1	8	yes	—
859	C₂²⋊C₄	C₂²×C₄×C₇	1	8	yes	—
860	C₂²⋊C₄	C₂²×C₄×C₇	1	8	yes	—
861	C₂²⋊C₄	C₂²×C₄×C₇	1	8	yes	—
862	C₂²⋊C₄	C₂²×C₄×C₇	1	8	yes	—
863	C₂²⋊C₄	C₂²×C₄×C₇	1	8	yes	—
864	C₄²	—	2	2	no	—
865	C₄²	—	2	2	no	—
866	C₄²	—	4	1	no	—
867	C₄²	—	4	1	no	—
868	C₄²	—	4	2	no	—
869	C₄²	—	4	2	no	—
870	C₄²	—	4	2	no	—
871	C₄²	—	4	2	no	—
872	C₄²	—	4	2	no	—
873	C₄²	—	4	2	no	—
874	C₂×C₇	—	2	4	no	—
875	C₂×C₇	—	4	4	no	—
876	C₂×C₇	—	4	4	no	—
877	C₂×C₇	—	4	4	no	—
878	C₂×C₇	C₂×#518	1	1	yes	characteristic
879	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
880	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
881	C₂×C₇	#3534	1	1	yes	characteristic
882	C₂×C₇	#3537	1	1	yes	characteristic
883	C₂×C₇	#3558	1	1	yes	characteristic
884	C₂×C₇	#3560	1	1	yes	characteristic
885	C₂³	—	2	1	no	—
886	C₂³	—	2	1	no	—
887	C₂³	—	2	1	no	—
888	C₂³	—	2	1	no	—
889	C₂³	—	2	2	no	—
890	C₂³	—	2	2	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	2	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	2	2	no	—
898	C₂³	—	2	2	no	—
899	C₂³	—	2	2	no	—
900	C₂³	—	2	2	no	—
901	C₂³	—	2	2	no	—
902	C₂³	—	2	2	no	—
903	C₂³	—	2	2	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	8	no	—
908	C₂³	—	4	8	no	—
909	C₂³	—	4	4	no	—
910	C₂³	—	4	4	no	—
911	C₂³	—	4	8	no	—
912	C₂³	—	4	8	no	—
913	C₂³	—	8	2	no	—
914	C₂³	—	8	2	no	—
915	C₂³	—	8	2	no	—
916	C₂³	—	8	2	no	—
917	C₂³	—	8	4	no	—
918	C₂³	—	8	4	no	—
919	C₂³	—	8	4	no	—
920	C₂³	—	8	4	no	—
921	C₂³	C₂³×C₄×C₇	1	4	yes	—
922	C₂³	C₂³×C₄×C₇	1	4	yes	—
923	C₂³	C₂³×C₄×C₇	1	4	yes	—
924	C₂³	C₂³×C₄×C₇	1	2	yes	—
925	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
926	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
927	C₂³	C₂⁵×C₇	1	1	yes	characteristic
928	D₄	—	2	16	no	—
929	D₄	—	2	16	no	—
930	D₄	—	4	8	no	—
931	D₄	—	4	8	no	—
932	D₄	—	4	4	no	—
933	D₄	—	4	4	no	—
934	D₄	—	4	8	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	1	no	—
947	C₂×C₄	—	2	1	no	—
948	C₂×C₄	—	2	1	no	—
949	C₂×C₄	—	2	1	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	4	4	no	—
974	C₂×C₄	—	4	4	no	—
975	C₂×C₄	—	4	8	no	—
976	C₂×C₄	—	4	4	no	—
977	C₂×C₄	—	4	4	no	—
978	C₂×C₄	—	8	4	no	—
979	C₂×C₄	—	8	4	no	—
980	C₂×C₄	—	8	2	no	—
981	C₂×C₄	—	8	2	no	—
982	C₂×C₄	—	8	4	no	—
983	C₂×C₄	—	8	4	no	—
984	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
985	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
986	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
987	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
988	C₂×C₄	C₂³×C₄×C₇	1	4	yes	—
989	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
990	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
991	C₇	#34437	1	1	yes	characteristic, direct product factor, Sylow
992	C₂²	—	2	2	no	—
993	C₂²	—	2	2	no	—
994	C₂²	—	2	2	no	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	2	4	no	—
999	C₂²	—	2	4	no	—
1000	C₂²	—	2	4	no	—
1001	C₂²	—	2	4	no	—
1002	C₂²	—	2	4	no	—
1003	C₂²	—	2	4	no	—
1004	C₂²	—	2	4	no	—
1005	C₂²	—	2	4	no	—
1006	C₂²	—	2	4	no	—
1007	C₂²	—	4	2	no	—
1008	C₂²	—	4	2	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	2	no	—
1011	C₂²	—	4	2	no	—
1012	C₂²	—	4	2	no	—
1013	C₂²	—	4	2	no	—
1014	C₂²	—	4	2	no	—
1015	C₂²	—	4	2	no	—
1016	C₂²	—	4	2	no	—
1017	C₂²	—	4	2	no	—
1018	C₂²	—	4	2	no	—
1019	C₂²	—	8	8	no	—
1020	C₂²	—	8	16	no	—
1021	C₂²	C₇×#518	1	4	yes	—
1022	C₂²	C₂⁴×C₄×C₇	1	1	yes	characteristic
1023	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1024	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1025	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1026	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1027	C₂²	C₇×#585	1	1	yes	characteristic
1028	C₂²	C₇×#585	1	1	yes	characteristic
1029	C₄	—	2	4	no	—
1030	C₄	—	2	4	no	—
1031	C₄	—	2	2	no	—
1032	C₄	—	2	2	no	—
1033	C₄	—	2	4	no	—
1034	C₄	—	2	2	no	—
1035	C₄	—	2	2	no	—
1036	C₄	—	4	2	no	—
1037	C₄	—	4	1	no	—
1038	C₄	—	4	2	no	—
1039	C₄	—	4	1	no	—
1040	C₄	—	4	2	no	—
1041	C₄	—	4	2	no	—
1042	C₄	—	4	2	no	—
1043	C₄	—	4	2	no	—
1044	C₂	—	2	4	no	—
1045	C₂	—	4	4	no	—
1046	C₂	—	4	4	no	—
1047	C₂	—	4	4	no	—
1048	C₂	C₂×C₇×#518	1	1	yes	characteristic
1049	C₂	C₄×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1050	C₂	C₄×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₂	C₇×#3534	1	1	yes	characteristic
1052	C₂	C₇×#3537	1	1	yes	characteristic
1053	C₂	C₇×#3558	1	1	yes	characteristic
1054	C₂	C₇×#3560	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₇
Frattini, cosocle	C₂³	C₂⁵×C₇
prime radical	C₂×C₇×#534	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#2376	C₂	semidirect
3. C₇×#2375	C₂	semidirect
4. C₇×#2374	C₂	semidirect
5. C₇×#2364	C₂	semidirect
6. C₇×#2361	C₂	semidirect
7. C₇×#2358	C₂	semidirect
8. C₇×D₄×C₂²⋊C₄	C₂	semidirect
9. C₇×D₄×C₂²⋊C₄	C₂	semidirect
10. C₇×#2335	C₂	semidirect
11. C₇×#2335	C₂	semidirect
12. C₇×#2325	C₂	semidirect
13. C₇×#2325	C₂	semidirect
14. C₇×#2321	C₂	semidirect
15. C₇×#2321	C₂	semidirect
16. C₇×#2312	C₂	semidirect
17. C₄×C₇×#121	C₂	semidirect
18. C₄×C₇×#121	C₂	semidirect
19. C₂×C₇×#388	C₂	semidirect
21. C₇×#534	C₄	semidirect
29. C₂×C₄×C₇×D₄	C₂²	semidirect
30. C₂×C₄×C₇×D₄	C₂²	semidirect
31. C₂×C₄×C₇×D₄	C₂²	semidirect
32. C₂×C₄×C₇×D₄	C₂²	semidirect
33. C₂×C₄×C₇×D₄	C₂²	semidirect
34. C₂×C₄×C₇×D₄	C₂²	semidirect
35. C₂×C₄×C₇×D₄	C₂²	semidirect
36. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
40. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
41. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
42. C₂²×C₄²×C₇	C₂²	semidirect
47. C₇×#390	C₂²	semidirect
48. C₇×#390	C₂²	semidirect
49. C₇×#390	C₂²	semidirect
50. C₇×#389	C₂²	semidirect
51. C₇×#389	C₂²	semidirect
52. C₇×#389	C₂²	semidirect
53. C₇×#388	C₂²	semidirect
54. C₇×#388	C₂²	semidirect
55. C₇×#388	C₂²	semidirect
56. C₇×#388	C₂²	semidirect
57. C₇×#388	C₂²	semidirect
58. C₇×#388	C₂²	semidirect
59. C₇×#388	C₂²	semidirect
60. C₇×#388	C₂²	semidirect
61. C₇×#388	C₂²	semidirect
62. C₇×#388	C₂²	semidirect
63. C₇×#388	C₂²	semidirect
64. C₇×#388	C₂²	semidirect
65. C₇×#388	C₂²	semidirect
66. C₇×#388	C₂²	semidirect
67. C₇×#388	C₂²	semidirect
68. C₇×#388	C₂²	semidirect
69. C₇×#387	C₂²	semidirect
70. C₇×#387	C₂²	semidirect
71. C₇×#387	C₂²	semidirect
72. C₇×#387	C₂²	semidirect
77. C₇×#386	C₂²	semidirect
78. C₇×#386	C₂²	semidirect
79. C₇×#386	C₂²	semidirect
80. C₇×#386	C₂²	semidirect
81. C₇×#386	C₂²	semidirect
82. C₇×#386	C₂²	semidirect
83. C₇×#386	C₂²	semidirect
84. C₇×#386	C₂²	semidirect
85. C₇×#385	C₂²	semidirect
86. C₇×#385	C₂²	semidirect
87. C₇×#385	C₂²	semidirect
88. C₇×#385	C₂²	semidirect
89. C₇×#380	C₂²	semidirect
90. C₇×#380	C₂²	semidirect
91. C₇×#380	C₂²	semidirect
92. C₇×#380	C₂²	semidirect
94. C₇×#379	C₂²	semidirect
95. C₇×#379	C₂²	semidirect
96. C₄×C₇×C₄⋊C₄	C₂²	semidirect
97. C₄×C₇×C₄⋊C₄	C₂²	semidirect
98. C₄×C₇×C₄⋊C₄	C₂²	semidirect
99. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
100. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
101. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
102. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
103. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
104. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
105. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
106. C₂×C₇×#95	C₂²	semidirect
107. C₂×C₇×#95	C₂²	semidirect
108. #34437	C₇	direct (N × H)
113. C₂²×C₇×D₄	C₂×C₄	semidirect
132. C₇×#123	C₂×C₄	semidirect
133. C₇×#123	C₂×C₄	semidirect
134. C₇×#121	C₂×C₄	semidirect
135. C₇×#121	C₂×C₄	semidirect
136. C₇×#121	C₂×C₄	semidirect
137. C₇×#120	C₂×C₄	semidirect
138. C₇×#120	C₂×C₄	semidirect
164. C₂×C₇×C₂²⋊C₄	C₂×C₄	semidirect
221. #2376	C₂×C₇	semidirect
222. #2375	C₂×C₇	semidirect
223. #2374	C₂×C₇	semidirect
224. #2364	C₂×C₇	semidirect
225. #2361	C₂×C₇	semidirect
226. #2358	C₂×C₇	semidirect
227. D₄×C₂²⋊C₄	C₂×C₇	semidirect
228. D₄×C₂²⋊C₄	C₂×C₇	semidirect
229. #2335	C₂×C₇	semidirect
230. #2335	C₂×C₇	semidirect
231. #2325	C₂×C₇	semidirect
232. #2325	C₂×C₇	semidirect
233. #2321	C₂×C₇	semidirect
234. #2321	C₂×C₇	semidirect
235. #2312	C₂×C₇	semidirect
236. C₄×#121	C₂×C₇	semidirect
237. C₄×#121	C₂×C₇	semidirect
238. C₂×#388	C₂×C₇	semidirect
379. #534	C₄×C₇	semidirect
387. C₂×C₄×D₄	C₂²×C₇	semidirect
388. C₂×C₄×D₄	C₂²×C₇	semidirect
389. C₂×C₄×D₄	C₂²×C₇	semidirect
390. C₂×C₄×D₄	C₂²×C₇	semidirect
391. C₂×C₄×D₄	C₂²×C₇	semidirect
392. C₂×C₄×D₄	C₂²×C₇	semidirect
393. C₂×C₄×D₄	C₂²×C₇	semidirect
394. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
398. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
399. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
400. C₂²×C₄²	C₂²×C₇	semidirect
405. #390	C₂²×C₇	semidirect
406. #390	C₂²×C₇	semidirect
407. #390	C₂²×C₇	semidirect
408. #389	C₂²×C₇	semidirect
409. #389	C₂²×C₇	semidirect
410. #389	C₂²×C₇	semidirect
411. #388	C₂²×C₇	semidirect
412. #388	C₂²×C₇	semidirect
413. #388	C₂²×C₇	semidirect
414. #388	C₂²×C₇	semidirect
415. #388	C₂²×C₇	semidirect
416. #388	C₂²×C₇	semidirect
417. #388	C₂²×C₇	semidirect
418. #388	C₂²×C₇	semidirect
419. #388	C₂²×C₇	semidirect
420. #388	C₂²×C₇	semidirect
421. #388	C₂²×C₇	semidirect
422. #388	C₂²×C₇	semidirect
423. #388	C₂²×C₇	semidirect
424. #388	C₂²×C₇	semidirect
425. #388	C₂²×C₇	semidirect
426. #388	C₂²×C₇	semidirect
427. #387	C₂²×C₇	semidirect
428. #387	C₂²×C₇	semidirect
429. #387	C₂²×C₇	semidirect
430. #387	C₂²×C₇	semidirect
435. #386	C₂²×C₇	semidirect
436. #386	C₂²×C₇	semidirect
437. #386	C₂²×C₇	semidirect
438. #386	C₂²×C₇	semidirect
439. #386	C₂²×C₇	semidirect
440. #386	C₂²×C₇	semidirect
441. #386	C₂²×C₇	semidirect
442. #386	C₂²×C₇	semidirect
443. #385	C₂²×C₇	semidirect
444. #385	C₂²×C₇	semidirect
445. #385	C₂²×C₇	semidirect
446. #385	C₂²×C₇	semidirect
447. #380	C₂²×C₇	semidirect
448. #380	C₂²×C₇	semidirect
449. #380	C₂²×C₇	semidirect
450. #380	C₂²×C₇	semidirect
452. #379	C₂²×C₇	semidirect
453. #379	C₂²×C₇	semidirect
454. C₄×C₄⋊C₄	C₂²×C₇	semidirect
455. C₄×C₄⋊C₄	C₂²×C₇	semidirect
456. C₄×C₄⋊C₄	C₂²×C₇	semidirect
457. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
458. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
459. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
460. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
461. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
462. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
463. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
464. C₂×#95	C₂²×C₇	semidirect
465. C₂×#95	C₂²×C₇	semidirect
576. C₂²×D₄	C₂×C₄×C₇	semidirect
595. #123	C₂×C₄×C₇	semidirect
596. #123	C₂×C₄×C₇	semidirect
597. #121	C₂×C₄×C₇	semidirect
598. #121	C₂×C₄×C₇	semidirect
599. #121	C₂×C₄×C₇	semidirect
600. #120	C₂×C₄×C₇	semidirect
601. #120	C₂×C₄×C₇	semidirect
627. C₂×C₂²⋊C₄	C₂×C₄×C₇	semidirect
991. C₇	#34437	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₇×#534	2
C₇×#2376	2
C₇×#2375	2
C₇×#2374	2
C₇×#2364	2
C₇×#2361	2
C₇×#2358	2
C₇×D₄×C₂²⋊C₄	2
C₇×#2335	2
C₇×#2325	2
C₇×#2321	2
C₇×#2312	2
C₄×C₇×#121	2
C₂×C₇×#388	2
#34437	7

Subgroups — C7×#34437 #13211653

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#34437 #13211653