Subgroups — C₇×#34882 #13212098

Order 1792.

1750 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2586	C₂	1	2	yes	maximal, complemented
2	C₇×#2585	C₂	1	2	yes	maximal, complemented
3	C₇×#2574	C₂	1	2	yes	maximal
4	C₇×#2556	C₂	1	2	yes	maximal
5	C₇×#2522	C₂	1	2	yes	maximal
6	C₇×#2520	C₂	1	2	yes	maximal, complemented
7	C₇×#2465	C₂	1	2	yes	maximal
8	C₇×#2462	C₂	1	2	yes	maximal, complemented
9	C₇×#2399	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2399	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2396	C₂	1	1	yes	maximal, characteristic
12	C₇×#2396	C₂	1	1	yes	maximal, characteristic
13	C₄×C₇×#125	C₂	1	2	yes	maximal, complemented
14	C₄×C₇×C₂²⋊Q₈	C₂	1	2	yes	maximal
15	C₇×#2298	C₂	1	2	yes	maximal
16	C₇×#2295	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2295	C₂	1	2	yes	maximal, complemented
18	C₄²×C₇×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×C₇×#117	C₂	1	1	yes	maximal, characteristic
20	C₂×C₇×#125	C₂²	1	2	yes	—
21	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
22	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	—
25	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	—
26	C₂×C₇×#117	C₂²	1	1	yes	characteristic
27	C₂×C₇×#117	C₂²	1	1	yes	characteristic
28	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
29	C₇×#400	C₂²	1	1	yes	characteristic
30	C₇×#400	C₂²	1	1	yes	characteristic
31	C₇×#399	C₂²	1	1	yes	characteristic
32	C₇×#399	C₂²	1	1	yes	characteristic
33	C₇×#398	C₂²	1	2	yes	—
34	C₇×#398	C₂²	1	2	yes	—
35	C₇×#398	C₂²	1	2	yes	—
36	C₇×#398	C₂²	1	2	yes	—
37	C₇×#398	C₂²	1	2	yes	—
38	C₇×#398	C₂²	1	2	yes	—
39	C₇×#396	C₂²	1	2	yes	—
40	C₇×#396	C₂²	1	2	yes	—
41	C₇×#395	C₂²	1	1	yes	characteristic
42	C₇×#395	C₂²	1	1	yes	characteristic
43	C₇×#395	C₂²	1	2	yes	—
44	C₇×#395	C₂²	1	2	yes	—
45	C₇×#395	C₂²	1	2	yes	—
46	C₇×#395	C₂²	1	2	yes	—
47	C₇×#393	C₂²	1	1	yes	characteristic
48	C₇×#393	C₂²	1	1	yes	characteristic
49	C₇×#391	C₂²	1	2	yes	—
50	C₇×#391	C₂²	1	2	yes	—
51	C₇×#391	C₂²	1	2	yes	—
52	C₇×#391	C₂²	1	2	yes	—
53	C₇×#389	C₂²	1	2	yes	—
54	C₇×#389	C₂²	1	2	yes	—
55	C₇×#389	C₂²	1	2	yes	—
56	C₇×#389	C₂²	1	2	yes	—
57	C₇×#389	C₂²	1	2	yes	—
58	C₇×#389	C₂²	1	2	yes	—
59	C₇×#388	C₂²	1	2	yes	—
60	C₇×#388	C₂²	1	2	yes	—
61	C₇×#388	C₂²	1	2	yes	—
62	C₇×#388	C₂²	1	2	yes	—
63	C₇×#387	C₂²	1	2	yes	—
64	C₇×#387	C₂²	1	2	yes	—
65	C₇×#387	C₂²	1	2	yes	—
66	C₇×#387	C₂²	1	2	yes	—
67	C₇×#387	C₂²	1	2	yes	—
68	C₇×#387	C₂²	1	2	yes	—
69	C₇×#387	C₂²	1	2	yes	—
70	C₇×#387	C₂²	1	2	yes	—
71	C₇×#387	C₂²	1	2	yes	—
72	C₇×#387	C₂²	1	2	yes	—
73	C₇×#387	C₂²	1	2	yes	—
74	C₇×#387	C₂²	1	2	yes	—
75	C₇×#387	C₂²	1	2	yes	—
76	C₇×#387	C₂²	1	2	yes	—
77	C₇×#387	C₂²	1	2	yes	—
78	C₇×#387	C₂²	1	2	yes	—
79	C₇×#385	C₂²	1	2	yes	—
80	C₇×#385	C₂²	1	2	yes	—
81	C₇×#382	C₂²	1	2	yes	—
82	C₇×#380	C₂²	1	2	yes	—
83	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
84	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
85	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
86	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
87	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
88	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
89	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
90	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
91	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
92	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
93	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
94	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
95	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
96	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
97	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
98	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
99	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₇×#376	C₂²	1	1	yes	characteristic
102	C₇×#376	C₂²	1	1	yes	characteristic
103	C₇×#376	C₂²	1	2	yes	—
104	C₄³×C₇	C₂²	1	1	yes	characteristic
105	C₄³×C₇	C₂²	1	1	yes	characteristic
106	C₄³×C₇	C₂²	1	2	yes	—
107	#34882	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
108	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
109	C₂²×C₇×Q₈	C₂³	1	2	yes	—
110	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
111	C₂³×C₄×C₇	C₂³	1	2	yes	—
112	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
113	C₇×#125	—	2	8	no	—
114	C₇×C₂²⋊Q₈	—	2	8	no	—
115	C₄×C₇×Q₈	—	2	8	no	—
116	C₄×C₇×Q₈	—	2	8	no	—
117	C₄×C₇×Q₈	—	2	4	no	—
118	C₄×C₇×Q₈	—	2	4	no	—
119	C₇×#117	—	2	4	no	—
120	C₇×#117	Q₈	1	8	yes	complemented
121	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
122	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
123	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
124	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
125	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
126	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
127	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
128	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
129	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
130	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
131	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
132	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
133	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
134	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
135	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
136	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
137	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
138	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
139	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
140	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
141	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
142	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
143	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
145	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
146	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
147	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
150	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
151	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
152	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
153	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
154	C₂×C₄²×C₇	—	2	4	no	—
155	C₂×C₄²×C₇	C₂³	1	2	yes	—
156	C₂×C₄²×C₇	C₂³	1	2	yes	—
157	C₂×C₄²×C₇	C₂³	1	2	yes	—
158	C₂×C₄²×C₇	C₂³	1	2	yes	—
159	C₂×C₄²×C₇	C₂³	1	2	yes	—
160	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
161	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
162	C₂×C₄²×C₇	C₂³	1	2	yes	—
163	C₂×C₄²×C₇	C₂³	1	2	yes	—
164	C₂×C₄²×C₇	C₂³	1	2	yes	—
165	C₂×C₄²×C₇	C₂³	1	2	yes	—
166	C₂×C₄²×C₇	C₂³	1	2	yes	—
167	C₂×C₄²×C₇	C₂³	1	2	yes	—
168	C₂×C₄²×C₇	C₂³	1	2	yes	—
169	C₂×C₄²×C₇	C₂³	1	2	yes	—
170	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
171	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
172	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
173	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
174	C₇×#95	C₂³	1	2	yes	—
175	C₇×#95	C₂³	1	2	yes	—
176	C₇×#95	C₂³	1	2	yes	—
177	C₇×#95	C₂³	1	2	yes	—
178	C₇×#95	C₂³	1	2	yes	—
179	C₇×#95	C₂³	1	2	yes	—
180	C₇×#95	C₂³	1	2	yes	—
181	C₇×#95	C₂³	1	2	yes	—
182	C₇×#95	C₂³	1	2	yes	—
183	C₇×#95	C₂³	1	2	yes	—
184	C₇×#95	C₂³	1	2	yes	—
185	C₇×#95	C₂³	1	2	yes	—
186	C₇×#95	C₂³	1	2	yes	—
187	C₇×#95	C₂³	1	2	yes	—
188	C₇×#95	C₂³	1	1	yes	characteristic
189	C₇×#95	C₂³	1	1	yes	characteristic
190	C₇×#95	C₂³	1	2	yes	—
191	C₇×#95	C₂³	1	2	yes	—
192	C₇×#95	C₂³	1	2	yes	—
193	C₇×#95	C₂³	1	2	yes	—
194	C₇×#95	C₂³	1	2	yes	—
195	C₇×#95	C₂³	1	2	yes	—
196	C₇×#95	C₂³	1	2	yes	—
197	C₇×#95	C₂³	1	2	yes	—
198	C₇×#95	C₂³	1	2	yes	—
199	C₇×#95	C₂³	1	2	yes	—
200	C₇×#95	C₂³	1	2	yes	—
201	C₇×#95	C₂³	1	2	yes	—
202	C₇×#95	C₂³	1	1	yes	characteristic
203	C₇×#95	C₂³	1	1	yes	characteristic
204	#2586	C₂×C₇	1	2	yes	complemented
205	#2585	C₂×C₇	1	2	yes	complemented
206	#2574	C₂×C₇	1	2	yes	—
207	#2556	C₂×C₇	1	2	yes	—
208	#2522	C₂×C₇	1	2	yes	—
209	#2520	C₂×C₇	1	2	yes	complemented
210	#2465	C₂×C₇	1	2	yes	—
211	#2462	C₂×C₇	1	2	yes	complemented
212	#2399	C₂×C₇	1	1	yes	characteristic, complemented
213	#2399	C₂×C₇	1	1	yes	characteristic, complemented
214	#2396	C₂×C₇	1	1	yes	characteristic
215	#2396	C₂×C₇	1	1	yes	characteristic
216	C₄×#125	C₂×C₇	1	2	yes	complemented
217	C₄×C₂²⋊Q₈	C₂×C₇	1	2	yes	—
218	#2298	C₂×C₇	1	2	yes	—
219	#2295	C₂×C₇	1	1	yes	characteristic, complemented
220	#2295	C₂×C₇	1	2	yes	complemented
221	C₄²×Q₈	C₂×C₇	1	1	yes	characteristic, complemented
222	C₄×#117	C₂×C₇	1	1	yes	characteristic
223	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
224	C₂×C₇×Q₈	—	2	4	no	—
225	C₂×C₇×Q₈	—	2	2	no	—
226	C₂×C₇×Q₈	—	2	4	no	—
227	C₂×C₇×Q₈	—	2	2	no	—
228	C₂×C₇×Q₈	—	2	4	no	—
229	C₂×C₇×Q₈	—	4	2	no	—
230	C₂×C₇×Q₈	—	4	2	no	—
231	C₂²×C₄×C₇	—	2	2	no	—
232	C₂²×C₄×C₇	—	2	2	no	—
233	C₂²×C₄×C₇	—	2	4	no	—
234	C₂²×C₄×C₇	—	2	4	no	—
235	C₂²×C₄×C₇	—	4	2	no	—
236	C₂²×C₄×C₇	C₂×Q₈	1	4	yes	—
237	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
238	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
239	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
240	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
241	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
242	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
243	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
244	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
245	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
246	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
247	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
248	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
249	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
250	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
251	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
252	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
253	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
254	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
255	C₇×C₄⋊C₄	—	2	2	no	—
256	C₇×C₄⋊C₄	—	2	2	no	—
257	C₇×C₄⋊C₄	—	2	4	no	—
258	C₇×C₄⋊C₄	—	2	4	no	—
259	C₇×C₄⋊C₄	—	2	4	no	—
260	C₇×C₄⋊C₄	—	2	4	no	—
261	C₇×C₄⋊C₄	—	2	4	no	—
262	C₇×C₄⋊C₄	—	2	2	no	—
263	C₇×C₄⋊C₄	—	2	2	no	—
264	C₇×C₄⋊C₄	—	2	4	no	—
265	C₇×C₄⋊C₄	—	2	4	no	—
266	C₇×C₄⋊C₄	—	2	4	no	—
267	C₇×C₄⋊C₄	—	2	4	no	—
268	C₇×C₄⋊C₄	—	2	4	no	—
269	C₇×C₄⋊C₄	—	2	4	no	—
270	C₇×C₄⋊C₄	—	2	4	no	—
271	C₇×C₄⋊C₄	—	2	4	no	—
272	C₇×C₄⋊C₄	—	2	4	no	—
273	C₇×C₄⋊C₄	—	4	2	no	—
274	C₇×C₄⋊C₄	—	4	2	no	—
275	C₇×C₄⋊C₄	—	4	2	no	—
276	C₇×C₄⋊C₄	—	4	2	no	—
277	C₇×C₄⋊C₄	—	4	2	no	—
278	C₇×C₄⋊C₄	—	4	2	no	—
279	C₇×C₄⋊C₄	C₂×Q₈	1	8	yes	—
280	C₇×C₄⋊C₄	#41	1	8	yes	—
281	C₇×C₂²⋊C₄	—	2	2	no	—
282	C₇×C₂²⋊C₄	—	2	2	no	—
283	C₇×C₂²⋊C₄	—	2	4	no	—
284	C₇×C₂²⋊C₄	—	2	4	no	—
285	C₇×C₂²⋊C₄	—	4	2	no	—
286	C₇×C₂²⋊C₄	—	4	2	no	—
287	C₇×C₂²⋊C₄	C₂×Q₈	1	8	yes	—
288	C₄²×C₇	—	2	4	no	—
289	C₄²×C₇	—	2	2	no	—
290	C₄²×C₇	—	2	2	no	—
291	C₄²×C₇	—	2	4	no	—
292	C₄²×C₇	—	2	4	no	—
293	C₄²×C₇	—	2	4	no	—
294	C₄²×C₇	—	2	4	no	—
295	C₄²×C₇	—	2	4	no	—
296	C₄²×C₇	—	2	4	no	—
297	C₄²×C₇	—	2	4	no	—
298	C₄²×C₇	—	2	4	no	—
299	C₄²×C₇	—	4	2	no	—
300	C₄²×C₇	—	4	2	no	—
301	C₄²×C₇	—	4	2	no	—
302	C₄²×C₇	—	4	2	no	—
303	C₄²×C₇	C₂×Q₈	1	4	yes	—
304	C₄²×C₇	C₂×Q₈	1	4	yes	—
305	C₄²×C₇	#41	1	4	yes	—
306	C₄²×C₇	#41	1	4	yes	—
307	C₂×#125	C₂²×C₇	1	2	yes	—
308	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
309	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
310	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
311	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	—
312	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	—
313	C₂×#117	C₂²×C₇	1	1	yes	characteristic
314	C₂×#117	C₂²×C₇	1	1	yes	characteristic
315	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
316	#400	C₂²×C₇	1	1	yes	characteristic
317	#400	C₂²×C₇	1	1	yes	characteristic
318	#399	C₂²×C₇	1	1	yes	characteristic
319	#399	C₂²×C₇	1	1	yes	characteristic
320	#398	C₂²×C₇	1	2	yes	—
321	#398	C₂²×C₇	1	2	yes	—
322	#398	C₂²×C₇	1	2	yes	—
323	#398	C₂²×C₇	1	2	yes	—
324	#398	C₂²×C₇	1	2	yes	—
325	#398	C₂²×C₇	1	2	yes	—
326	#396	C₂²×C₇	1	2	yes	—
327	#396	C₂²×C₇	1	2	yes	—
328	#395	C₂²×C₇	1	2	yes	—
329	#395	C₂²×C₇	1	1	yes	characteristic
330	#395	C₂²×C₇	1	2	yes	—
331	#395	C₂²×C₇	1	1	yes	characteristic
332	#395	C₂²×C₇	1	2	yes	—
333	#395	C₂²×C₇	1	2	yes	—
334	#393	C₂²×C₇	1	1	yes	characteristic
335	#393	C₂²×C₇	1	1	yes	characteristic
336	#391	C₂²×C₇	1	2	yes	—
337	#391	C₂²×C₇	1	2	yes	—
338	#391	C₂²×C₇	1	2	yes	—
339	#391	C₂²×C₇	1	2	yes	—
340	#389	C₂²×C₇	1	2	yes	—
341	#389	C₂²×C₇	1	2	yes	—
342	#389	C₂²×C₇	1	2	yes	—
343	#389	C₂²×C₇	1	2	yes	—
344	#389	C₂²×C₇	1	2	yes	—
345	#389	C₂²×C₇	1	2	yes	—
346	#388	C₂²×C₇	1	2	yes	—
347	#388	C₂²×C₇	1	2	yes	—
348	#388	C₂²×C₇	1	2	yes	—
349	#388	C₂²×C₇	1	2	yes	—
350	#387	C₂²×C₇	1	2	yes	—
351	#387	C₂²×C₇	1	2	yes	—
352	#387	C₂²×C₇	1	2	yes	—
353	#387	C₂²×C₇	1	2	yes	—
354	#387	C₂²×C₇	1	2	yes	—
355	#387	C₂²×C₇	1	2	yes	—
356	#387	C₂²×C₇	1	2	yes	—
357	#387	C₂²×C₇	1	2	yes	—
358	#387	C₂²×C₇	1	2	yes	—
359	#387	C₂²×C₇	1	2	yes	—
360	#387	C₂²×C₇	1	2	yes	—
361	#387	C₂²×C₇	1	2	yes	—
362	#387	C₂²×C₇	1	2	yes	—
363	#387	C₂²×C₇	1	2	yes	—
364	#387	C₂²×C₇	1	2	yes	—
365	#387	C₂²×C₇	1	2	yes	—
366	#385	C₂²×C₇	1	2	yes	—
367	#385	C₂²×C₇	1	2	yes	—
368	#382	C₂²×C₇	1	2	yes	—
369	#380	C₂²×C₇	1	2	yes	—
370	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
371	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
372	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
373	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
374	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
375	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
376	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
377	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
378	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
379	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
380	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
381	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
382	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
383	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
384	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
385	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
386	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
387	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
388	#376	C₂²×C₇	1	1	yes	characteristic
389	#376	C₂²×C₇	1	1	yes	characteristic
390	#376	C₂²×C₇	1	2	yes	—
391	C₄³	C₂²×C₇	1	1	yes	characteristic
392	C₄³	C₂²×C₇	1	1	yes	characteristic
393	C₄³	C₂²×C₇	1	2	yes	—
394	C₂³×C₇	—	2	1	no	—
395	C₂³×C₇	—	2	2	no	—
396	C₂³×C₇	—	2	1	no	—
397	C₂³×C₇	—	2	2	no	—
398	C₂³×C₇	C₂²×Q₈	1	2	yes	—
399	C₂³×C₇	C₂⁵	1	1	yes	characteristic
400	C₇×Q₈	—	2	8	no	—
401	C₇×Q₈	—	4	8	no	—
402	C₇×Q₈	—	4	4	no	—
403	C₂×C₄×C₇	—	2	2	no	—
404	C₂×C₄×C₇	—	2	1	no	—
405	C₂×C₄×C₇	—	2	2	no	—
406	C₂×C₄×C₇	—	2	2	no	—
407	C₂×C₄×C₇	—	2	2	no	—
408	C₂×C₄×C₇	—	2	2	no	—
409	C₂×C₄×C₇	—	2	2	no	—
410	C₂×C₄×C₇	—	2	2	no	—
411	C₂×C₄×C₇	—	2	1	no	—
412	C₂×C₄×C₇	—	2	2	no	—
413	C₂×C₄×C₇	—	2	2	no	—
414	C₂×C₄×C₇	—	2	2	no	—
415	C₂×C₄×C₇	—	2	2	no	—
416	C₂×C₄×C₇	—	2	2	no	—
417	C₂×C₄×C₇	—	2	2	no	—
418	C₂×C₄×C₇	—	2	2	no	—
419	C₂×C₄×C₇	—	2	8	no	—
420	C₂×C₄×C₇	—	2	1	no	—
421	C₂×C₄×C₇	—	2	1	no	—
422	C₂×C₄×C₇	—	2	2	no	—
423	C₂×C₄×C₇	—	2	2	no	—
424	C₂×C₄×C₇	—	2	2	no	—
425	C₂×C₄×C₇	—	2	2	no	—
426	C₂×C₄×C₇	—	2	2	no	—
427	C₂×C₄×C₇	—	2	2	no	—
428	C₂×C₄×C₇	—	2	2	no	—
429	C₂×C₄×C₇	—	2	2	no	—
430	C₂×C₄×C₇	—	2	2	no	—
431	C₂×C₄×C₇	—	2	2	no	—
432	C₂×C₄×C₇	—	2	2	no	—
433	C₂×C₄×C₇	—	2	2	no	—
434	C₂×C₄×C₇	—	2	2	no	—
435	C₂×C₄×C₇	—	2	2	no	—
436	C₂×C₄×C₇	—	2	2	no	—
437	C₂×C₄×C₇	—	2	2	no	—
438	C₂×C₄×C₇	—	2	2	no	—
439	C₂×C₄×C₇	—	2	2	no	—
440	C₂×C₄×C₇	—	2	2	no	—
441	C₂×C₄×C₇	—	2	2	no	—
442	C₂×C₄×C₇	—	4	8	no	—
443	C₂×C₄×C₇	C₂²×Q₈	1	4	yes	—
444	C₂×C₄×C₇	C₂²×Q₈	1	4	yes	—
445	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
446	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
447	C₂×C₄×C₇	C₂×#41	1	4	yes	—
448	C₂×C₄×C₇	C₂×#41	1	4	yes	—
449	C₂×C₄×C₇	C₂×#41	1	4	yes	—
450	C₂×C₄×C₇	C₂×#41	1	4	yes	—
451	C₂×C₄×C₇	C₂×#41	1	2	yes	—
452	C₂×C₄×C₇	C₂×#41	1	2	yes	—
453	C₂×C₄×C₇	C₂×#41	1	2	yes	—
454	C₂×C₄×C₇	C₂×#41	1	2	yes	—
455	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
456	C₂²×Q₈	C₂³×C₇	1	2	yes	—
457	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
458	C₂³×C₄	C₂³×C₇	1	2	yes	—
459	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
460	#125	—	2	8	no	—
461	C₂²⋊Q₈	—	2	8	no	—
462	C₄×Q₈	—	2	8	no	—
463	C₄×Q₈	—	2	8	no	—
464	C₄×Q₈	—	2	4	no	—
465	C₄×Q₈	—	2	4	no	—
466	#117	—	2	4	no	—
467	#117	C₇×Q₈	1	8	yes	complemented
468	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
469	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
470	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
471	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
472	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
473	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
474	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
475	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
476	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
477	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
478	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
479	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
480	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
481	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
482	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
483	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
484	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
485	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
486	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
487	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
488	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
489	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
490	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
491	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
492	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
493	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
494	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
495	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
496	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
497	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
498	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
499	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
500	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
501	C₂×C₄²	—	2	4	no	—
502	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
503	C₂×C₄²	C₂³×C₇	1	2	yes	—
504	C₂×C₄²	C₂³×C₇	1	2	yes	—
505	C₂×C₄²	C₂³×C₇	1	2	yes	—
506	C₂×C₄²	C₂³×C₇	1	2	yes	—
507	C₂×C₄²	C₂³×C₇	1	2	yes	—
508	C₂×C₄²	C₂³×C₇	1	2	yes	—
509	C₂×C₄²	C₂³×C₇	1	2	yes	—
510	C₂×C₄²	C₂³×C₇	1	2	yes	—
511	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
512	C₂×C₄²	C₂³×C₇	1	2	yes	—
513	C₂×C₄²	C₂³×C₇	1	2	yes	—
514	C₂×C₄²	C₂³×C₇	1	2	yes	—
515	C₂×C₄²	C₂³×C₇	1	2	yes	—
516	C₂×C₄²	C₂³×C₇	1	2	yes	—
517	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
518	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
519	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
520	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
521	#95	C₂³×C₇	1	2	yes	—
522	#95	C₂³×C₇	1	2	yes	—
523	#95	C₂³×C₇	1	2	yes	—
524	#95	C₂³×C₇	1	2	yes	—
525	#95	C₂³×C₇	1	2	yes	—
526	#95	C₂³×C₇	1	2	yes	—
527	#95	C₂³×C₇	1	2	yes	—
528	#95	C₂³×C₇	1	2	yes	—
529	#95	C₂³×C₇	1	2	yes	—
530	#95	C₂³×C₇	1	2	yes	—
531	#95	C₂³×C₇	1	2	yes	—
532	#95	C₂³×C₇	1	2	yes	—
533	#95	C₂³×C₇	1	2	yes	—
534	#95	C₂³×C₇	1	2	yes	—
535	#95	C₂³×C₇	1	1	yes	characteristic
536	#95	C₂³×C₇	1	1	yes	characteristic
537	#95	C₂³×C₇	1	2	yes	—
538	#95	C₂³×C₇	1	2	yes	—
539	#95	C₂³×C₇	1	2	yes	—
540	#95	C₂³×C₇	1	2	yes	—
541	#95	C₂³×C₇	1	2	yes	—
542	#95	C₂³×C₇	1	2	yes	—
543	#95	C₂³×C₇	1	2	yes	—
544	#95	C₂³×C₇	1	2	yes	—
545	#95	C₂³×C₇	1	2	yes	—
546	#95	C₂³×C₇	1	2	yes	—
547	#95	C₂³×C₇	1	2	yes	—
548	#95	C₂³×C₇	1	2	yes	—
549	#95	C₂³×C₇	1	1	yes	characteristic
550	#95	C₂³×C₇	1	1	yes	characteristic
551	C₂²×C₇	—	2	2	no	—
552	C₂²×C₇	—	2	4	no	—
553	C₂²×C₇	—	4	1	no	—
554	C₂²×C₇	—	4	1	no	—
555	C₂²×C₇	—	4	2	no	—
556	C₂²×C₇	C₂³×Q₈	1	1	yes	characteristic
557	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
558	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
559	C₂²×C₇	C₂²×#41	1	2	yes	—
560	C₂²×C₇	#585	1	2	yes	—
561	C₄×C₇	—	2	2	no	—
562	C₄×C₇	—	2	4	no	—
563	C₄×C₇	—	2	2	no	—
564	C₄×C₇	—	2	2	no	—
565	C₄×C₇	—	2	4	no	—
566	C₄×C₇	—	2	4	no	—
567	C₄×C₇	—	2	4	no	—
568	C₄×C₇	—	2	4	no	—
569	C₄×C₇	—	2	4	no	—
570	C₄×C₇	—	4	1	no	—
571	C₄×C₇	—	4	2	no	—
572	C₄×C₇	—	4	1	no	—
573	C₄×C₇	—	4	2	no	—
574	C₄×C₇	—	4	2	no	—
575	C₄×C₇	—	4	2	no	—
576	C₄×C₇	—	4	2	no	—
577	C₄×C₇	—	4	2	no	—
578	C₄×C₇	#533	1	4	yes	—
579	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
580	C₂×Q₈	—	2	4	no	—
581	C₂×Q₈	—	2	2	no	—
582	C₂×Q₈	—	2	4	no	—
583	C₂×Q₈	—	2	2	no	—
584	C₂×Q₈	—	2	4	no	—
585	C₂×Q₈	—	4	2	no	—
586	C₂×Q₈	—	4	2	no	—
587	C₂²×C₄	—	2	2	no	—
588	C₂²×C₄	—	2	2	no	—
589	C₂²×C₄	—	2	4	no	—
590	C₂²×C₄	—	2	4	no	—
591	C₂²×C₄	—	4	2	no	—
592	C₂²×C₄	C₂×C₇×Q₈	1	4	yes	—
593	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
594	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
595	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
596	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
597	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
598	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
599	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
600	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
601	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
602	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
603	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
604	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
605	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
606	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
607	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
608	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
609	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
610	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
611	C₄⋊C₄	—	2	2	no	—
612	C₄⋊C₄	—	2	2	no	—
613	C₄⋊C₄	—	2	4	no	—
614	C₄⋊C₄	—	2	4	no	—
615	C₄⋊C₄	—	2	4	no	—
616	C₄⋊C₄	—	2	4	no	—
617	C₄⋊C₄	—	2	4	no	—
618	C₄⋊C₄	—	2	2	no	—
619	C₄⋊C₄	—	2	2	no	—
620	C₄⋊C₄	—	2	4	no	—
621	C₄⋊C₄	—	2	4	no	—
622	C₄⋊C₄	—	2	4	no	—
623	C₄⋊C₄	—	2	4	no	—
624	C₄⋊C₄	—	2	4	no	—
625	C₄⋊C₄	—	2	4	no	—
626	C₄⋊C₄	—	2	4	no	—
627	C₄⋊C₄	—	2	4	no	—
628	C₄⋊C₄	—	2	4	no	—
629	C₄⋊C₄	—	4	2	no	—
630	C₄⋊C₄	—	4	2	no	—
631	C₄⋊C₄	—	4	2	no	—
632	C₄⋊C₄	—	4	2	no	—
633	C₄⋊C₄	—	4	2	no	—
634	C₄⋊C₄	—	4	2	no	—
635	C₄⋊C₄	C₂×C₇×Q₈	1	8	yes	—
636	C₄⋊C₄	C₇×#41	1	8	yes	—
637	C₂²⋊C₄	—	2	2	no	—
638	C₂²⋊C₄	—	2	2	no	—
639	C₂²⋊C₄	—	2	4	no	—
640	C₂²⋊C₄	—	2	4	no	—
641	C₂²⋊C₄	—	4	2	no	—
642	C₂²⋊C₄	—	4	2	no	—
643	C₂²⋊C₄	C₂×C₇×Q₈	1	8	yes	—
644	C₄²	—	2	4	no	—
645	C₄²	—	2	2	no	—
646	C₄²	—	2	2	no	—
647	C₄²	—	2	4	no	—
648	C₄²	—	2	4	no	—
649	C₄²	—	2	4	no	—
650	C₄²	—	2	4	no	—
651	C₄²	—	2	4	no	—
652	C₄²	—	2	4	no	—
653	C₄²	—	2	4	no	—
654	C₄²	—	2	4	no	—
655	C₄²	—	4	2	no	—
656	C₄²	—	4	2	no	—
657	C₄²	—	4	2	no	—
658	C₄²	—	4	2	no	—
659	C₄²	C₂×C₇×Q₈	1	4	yes	—
660	C₄²	C₂×C₇×Q₈	1	4	yes	—
661	C₄²	C₇×#41	1	4	yes	—
662	C₄²	C₇×#41	1	4	yes	—
663	C₂×C₇	—	4	2	no	—
664	C₂×C₇	C₂×#533	1	1	yes	characteristic
665	C₂×C₇	#3444	1	1	yes	characteristic
666	C₂×C₇	#3455	1	1	yes	characteristic
667	C₂×C₇	#3475	1	2	yes	—
668	C₂×C₇	Q₈×#41	1	2	yes	—
669	C₂³	—	2	1	no	—
670	C₂³	—	2	2	no	—
671	C₂³	—	2	1	no	—
672	C₂³	—	2	2	no	—
673	C₂³	C₂²×C₇×Q₈	1	2	yes	—
674	C₂³	C₂⁵×C₇	1	1	yes	characteristic
675	Q₈	—	2	8	no	—
676	Q₈	—	4	8	no	—
677	Q₈	—	4	4	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	2	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	8	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	2	no	—
698	C₂×C₄	—	2	2	no	—
699	C₂×C₄	—	2	2	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	2	2	no	—
703	C₂×C₄	—	2	2	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	2	no	—
707	C₂×C₄	—	2	2	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	2	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	2	no	—
713	C₂×C₄	—	2	2	no	—
714	C₂×C₄	—	2	2	no	—
715	C₂×C₄	—	2	2	no	—
716	C₂×C₄	—	2	2	no	—
717	C₂×C₄	—	4	8	no	—
718	C₂×C₄	C₂²×C₇×Q₈	1	4	yes	—
719	C₂×C₄	C₂²×C₇×Q₈	1	4	yes	—
720	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
721	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
722	C₂×C₄	C₂×C₇×#41	1	4	yes	—
723	C₂×C₄	C₂×C₇×#41	1	4	yes	—
724	C₂×C₄	C₂×C₇×#41	1	4	yes	—
725	C₂×C₄	C₂×C₇×#41	1	4	yes	—
726	C₂×C₄	C₂×C₇×#41	1	2	yes	—
727	C₂×C₄	C₂×C₇×#41	1	2	yes	—
728	C₂×C₄	C₂×C₇×#41	1	2	yes	—
729	C₂×C₄	C₂×C₇×#41	1	2	yes	—
730	C₇	#34882	1	1	yes	characteristic, direct product factor, Sylow
731	C₂²	—	2	2	no	—
732	C₂²	—	2	4	no	—
733	C₂²	—	4	1	no	—
734	C₂²	—	4	1	no	—
735	C₂²	—	4	2	no	—
736	C₂²	C₂³×C₇×Q₈	1	1	yes	characteristic
737	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
738	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
739	C₂²	C₂²×C₇×#41	1	2	yes	—
740	C₂²	C₇×#585	1	2	yes	—
741	C₄	—	2	2	no	—
742	C₄	—	2	4	no	—
743	C₄	—	2	2	no	—
744	C₄	—	2	2	no	—
745	C₄	—	2	4	no	—
746	C₄	—	2	4	no	—
747	C₄	—	2	4	no	—
748	C₄	—	2	4	no	—
749	C₄	—	2	4	no	—
750	C₄	—	4	1	no	—
751	C₄	—	4	2	no	—
752	C₄	—	4	2	no	—
753	C₄	—	4	1	no	—
754	C₄	—	4	2	no	—
755	C₄	—	4	2	no	—
756	C₄	—	4	2	no	—
757	C₄	—	4	2	no	—
758	C₄	C₇×#533	1	4	yes	—
759	C₂	—	4	2	no	—
760	C₂	C₂×C₇×#533	1	1	yes	characteristic
761	C₂	C₇×#3444	1	1	yes	characteristic
762	C₂	C₇×#3455	1	1	yes	characteristic
763	C₂	C₇×#3475	1	2	yes	—
764	C₂	C₇×Q₈×#41	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₇×#2586	C₂	semidirect
2. C₇×#2585	C₂	semidirect
6. C₇×#2520	C₂	semidirect
8. C₇×#2462	C₂	semidirect
9. C₇×#2399	C₂	semidirect
10. C₇×#2399	C₂	semidirect
13. C₄×C₇×#125	C₂	semidirect
16. C₇×#2295	C₂	semidirect
17. C₇×#2295	C₂	semidirect
18. C₄²×C₇×Q₈	C₂	semidirect
107. #34882	C₇	direct (N × H)
120. C₇×#117	Q₈	semidirect
204. #2586	C₂×C₇	semidirect
205. #2585	C₂×C₇	semidirect
209. #2520	C₂×C₇	semidirect
211. #2462	C₂×C₇	semidirect
212. #2399	C₂×C₇	semidirect
213. #2399	C₂×C₇	semidirect
216. C₄×#125	C₂×C₇	semidirect
219. #2295	C₂×C₇	semidirect
220. #2295	C₂×C₇	semidirect
221. C₄²×Q₈	C₂×C₇	semidirect
467. #117	C₇×Q₈	semidirect
730. C₇	#34882	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#2586	2
C₇×#2585	2
C₇×#2574	2
C₇×#2556	2
C₇×#2522	2
C₇×#2520	2
C₇×#2465	2
C₇×#2462	2
C₇×#2399	2
C₇×#2396	2
C₄×C₇×#125	2
C₄×C₇×C₂²⋊Q₈	2
C₇×#2298	2
C₇×#2295	2
C₄²×C₇×Q₈	2
C₄×C₇×#117	2
#34882	7

Subgroups — C7×#34882 #13212098

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#34882 #13212098