Subgroups — C₇×#36614 #13213830

Order 1792.

7538 conjugacy classes of subgroups.

The subgroup lattice has 334 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁵×C₄×C₇	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₇×#525	C₂	1	3	yes	maximal, complemented
3	C₇×#2849	C₂	1	6	yes	maximal, complemented
4	C₇×#2848	C₂	1	4	yes	maximal, complemented
5	C₇×#2847	C₂	1	4	yes	maximal, complemented
6	C₇×#2846	C₂	1	2	yes	maximal, complemented
7	C₄×C₇×#120	C₂	1	8	yes	maximal, complemented
8	C₇×#2280	C₂	1	3	yes	maximal, complemented
9	C₂⁶×C₇	C₂²	1	1	yes	characteristic
10	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
11	C₂⁴×C₄×C₇	—	2	24	no	—
12	C₂⁴×C₄×C₇	C₂²	1	4	yes	—
13	C₂⁴×C₄×C₇	C₂²	1	4	yes	—
14	C₂⁴×C₄×C₇	C₂²	1	3	yes	—
15	C₂⁴×C₄×C₇	C₂²	1	3	yes	—
16	C₇×#525	—	2	24	no	—
17	C₂×C₇×#123	C₂²	1	6	yes	complemented
18	C₂×C₇×C₂²⋊Q₈	C₂²	1	6	yes	complemented
19	C₂×C₇×#121	C₂²	1	6	yes	complemented
20	C₂×C₇×#120	C₂²	1	6	yes	—
21	C₂×C₇×#120	C₂²	1	8	yes	—
22	C₂×C₄×C₇×D₄	C₂²	1	12	yes	complemented
23	C₂×C₇×#117	C₂²	1	3	yes	complemented
24	C₇×#386	C₂²	1	24	yes	complemented
25	C₇×#385	C₂²	1	24	yes	complemented
26	C₇×#381	C₂²	1	6	yes	complemented
27	C₇×#380	C₂²	1	12	yes	complemented
28	C₇×#379	C₂²	1	6	yes	—
29	C₇×#379	C₂²	1	8	yes	—
30	C₄×C₇×C₂²⋊C₄	C₂²	1	12	yes	complemented
31	#36614	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
32	C₂⁵×C₇	—	2	12	no	—
33	C₂⁵×C₇	—	2	16	no	—
34	C₂⁵×C₇	C₂³	1	3	yes	—
35	C₂⁵×C₇	C₂³	1	4	yes	—
36	C₂×C₇×#41	—	2	12	no	—
37	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic, complemented
38	C₂²×C₇×D₄	C₂³	1	2	yes	—
39	C₂²×C₇×D₄	C₂³	1	12	yes	—
40	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic, complemented
41	C₂³×C₄×C₇	—	2	128	no	—
42	C₂³×C₄×C₇	—	2	12	no	—
43	C₂³×C₄×C₇	—	2	48	no	—
44	C₂³×C₄×C₇	—	2	48	no	—
45	C₂³×C₄×C₇	—	2	24	no	—
46	C₂³×C₄×C₇	—	2	24	no	—
47	C₂³×C₄×C₇	D₄	1	24	yes	complemented
48	C₂³×C₄×C₇	C₂³	1	12	yes	—
49	C₂³×C₄×C₇	C₂³	1	6	yes	—
50	C₂³×C₄×C₇	C₂³	1	3	yes	—
51	C₂³×C₄×C₇	C₂³	1	6	yes	—
52	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
53	C₂³×C₄×C₇	C₂³	1	2	yes	complemented
54	C₇×#123	—	2	24	no	—
55	C₇×C₂²⋊Q₈	—	2	24	no	—
56	C₇×#121	—	2	24	no	—
57	C₇×#120	—	2	24	no	—
58	C₇×#120	—	2	32	no	—
59	C₄×C₇×D₄	—	2	48	no	—
60	C₇×#117	—	2	12	no	—
61	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	complemented
62	C₂×C₇×C₄⋊C₄	C₂³	1	12	yes	complemented
63	C₂×C₇×C₂²⋊C₄	C₂³	1	24	yes	—
64	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
65	C₂×C₇×C₂²⋊C₄	C₂³	1	12	yes	—
66	C₂×C₇×C₂²⋊C₄	C₂³	1	12	yes	complemented
67	C₂×C₄²×C₇	C₂³	1	6	yes	complemented
68	C₇×#95	C₂³	1	24	yes	complemented
69	C₂⁵×C₄	C₂×C₇	1	1	yes	characteristic, complemented
70	C₂×#525	C₂×C₇	1	3	yes	complemented
71	#2849	C₂×C₇	1	6	yes	complemented
72	#2848	C₂×C₇	1	4	yes	complemented
73	#2847	C₂×C₇	1	4	yes	complemented
74	#2846	C₂×C₇	1	2	yes	complemented
75	C₄×#120	C₂×C₇	1	8	yes	complemented
76	#2280	C₂×C₇	1	3	yes	complemented
77	C₂⁴×C₇	—	2	32	no	—
78	C₂⁴×C₇	—	2	192	no	—
79	C₂⁴×C₇	—	2	24	no	—
80	C₂⁴×C₇	—	2	12	no	—
81	C₂⁴×C₇	—	2	24	no	—
82	C₂⁴×C₇	—	2	24	no	—
83	C₂⁴×C₇	C₂×D₄	1	12	yes	—
84	C₂⁴×C₇	#41	1	16	yes	complemented
85	C₂⁴×C₇	C₂⁴	1	2	yes	—
86	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
87	C₂⁴×C₇	C₂⁴	1	6	yes	—
88	C₇×#41	—	4	16	no	—
89	C₂×C₇×Q₈	—	2	6	no	—
90	C₂×C₇×D₄	—	2	24	no	—
91	C₂×C₇×D₄	—	2	12	no	—
92	C₂×C₇×D₄	—	2	48	no	—
93	C₂×C₇×D₄	—	2	6	no	—
94	C₂²×C₄×C₇	—	2	96	no	—
95	C₂²×C₄×C₇	—	2	128	no	—
96	C₂²×C₄×C₇	—	2	128	no	—
97	C₂²×C₄×C₇	—	2	24	no	—
98	C₂²×C₄×C₇	—	2	12	no	—
99	C₂²×C₄×C₇	—	2	96	no	—
100	C₂²×C₄×C₇	—	2	48	no	—
101	C₂²×C₄×C₇	—	2	24	no	—
102	C₂²×C₄×C₇	—	2	24	no	—
103	C₂²×C₄×C₇	—	2	12	no	—
104	C₂²×C₄×C₇	C₂×D₄	1	24	yes	—
105	C₂²×C₄×C₇	C₂×D₄	1	24	yes	—
106	C₂²×C₄×C₇	C₂×D₄	1	12	yes	—
107	C₂²×C₄×C₇	C₂×D₄	1	12	yes	—
108	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
109	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
110	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
111	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
112	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
113	C₇×C₄⋊C₄	—	2	12	no	—
114	C₇×C₄⋊C₄	—	2	24	no	—
115	C₇×C₂²⋊C₄	—	2	12	no	—
116	C₇×C₂²⋊C₄	—	2	24	no	—
117	C₇×C₂²⋊C₄	—	2	48	no	—
118	C₇×C₂²⋊C₄	—	2	24	no	—
119	C₄²×C₇	—	2	12	no	—
120	C₂⁶	C₂²×C₇	1	1	yes	characteristic
121	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
122	C₂⁴×C₄	—	2	24	no	—
123	C₂⁴×C₄	C₂²×C₇	1	4	yes	—
124	C₂⁴×C₄	C₂²×C₇	1	3	yes	—
125	C₂⁴×C₄	C₂²×C₇	1	4	yes	—
126	C₂⁴×C₄	C₂²×C₇	1	3	yes	—
127	#525	—	2	24	no	—
128	C₂×#123	C₂²×C₇	1	6	yes	complemented
129	C₂×C₂²⋊Q₈	C₂²×C₇	1	6	yes	complemented
130	C₂×#121	C₂²×C₇	1	6	yes	complemented
131	C₂×#120	C₂²×C₇	1	8	yes	—
132	C₂×#120	C₂²×C₇	1	6	yes	—
133	C₂×C₄×D₄	C₂²×C₇	1	12	yes	complemented
134	C₂×#117	C₂²×C₇	1	3	yes	complemented
135	#386	C₂²×C₇	1	24	yes	complemented
136	#385	C₂²×C₇	1	24	yes	complemented
137	#381	C₂²×C₇	1	6	yes	complemented
138	#380	C₂²×C₇	1	12	yes	complemented
139	#379	C₂²×C₇	1	8	yes	—
140	#379	C₂²×C₇	1	6	yes	—
141	C₄×C₂²⋊C₄	C₂²×C₇	1	12	yes	complemented
142	C₂³×C₇	—	2	32	no	—
143	C₂³×C₇	—	2	256	no	—
144	C₂³×C₇	—	2	96	no	—
145	C₂³×C₇	—	2	96	no	—
146	C₂³×C₇	—	2	24	no	—
147	C₂³×C₇	—	2	48	no	—
148	C₂³×C₇	—	2	96	no	—
149	C₂³×C₇	—	2	12	no	—
150	C₂³×C₇	—	2	4	no	—
151	C₂³×C₇	—	2	12	no	—
152	C₂³×C₇	—	2	6	no	—
153	C₂³×C₇	—	2	8	no	—
154	C₂³×C₇	C₂²×D₄	1	6	yes	—
155	C₂³×C₇	C₂²×D₄	1	12	yes	—
156	C₂³×C₇	C₂×#41	1	24	yes	—
157	C₂³×C₇	C₂⁵	1	1	yes	characteristic
158	C₇×Q₈	—	4	4	no	—
159	C₇×D₄	—	4	8	no	—
160	C₇×D₄	—	4	48	no	—
161	C₇×D₄	—	4	4	no	—
162	C₂×C₄×C₇	—	2	96	no	—
163	C₂×C₄×C₇	—	2	24	no	—
164	C₂×C₄×C₇	—	2	12	no	—
165	C₂×C₄×C₇	—	2	48	no	—
166	C₂×C₄×C₇	—	2	48	no	—
167	C₂×C₄×C₇	—	2	12	no	—
168	C₂×C₄×C₇	—	2	6	no	—
169	C₂×C₄×C₇	—	2	24	no	—
170	C₂×C₄×C₇	—	4	8	no	—
171	C₂×C₄×C₇	#120	1	16	yes	complemented
172	C₂×C₄×C₇	C₂²×D₄	1	12	yes	—
173	C₂×C₄×C₇	C₂²×D₄	1	6	yes	—
174	C₂×C₄×C₇	C₂²×D₄	1	6	yes	—
175	C₂⁵	—	2	12	no	—
176	C₂⁵	—	2	16	no	—
177	C₂⁵	C₂³×C₇	1	3	yes	—
178	C₂⁵	C₂³×C₇	1	4	yes	—
179	C₂×#41	—	2	12	no	—
180	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic, complemented
181	C₂²×D₄	C₂³×C₇	1	12	yes	—
182	C₂²×D₄	C₂³×C₇	1	2	yes	—
183	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic, complemented
184	C₂³×C₄	—	2	128	no	—
185	C₂³×C₄	—	2	12	no	—
186	C₂³×C₄	—	2	48	no	—
187	C₂³×C₄	—	2	48	no	—
188	C₂³×C₄	—	2	24	no	—
189	C₂³×C₄	—	2	24	no	—
190	C₂³×C₄	C₇×D₄	1	24	yes	complemented
191	C₂³×C₄	C₂³×C₇	1	12	yes	—
192	C₂³×C₄	C₂³×C₇	1	6	yes	—
193	C₂³×C₄	C₂³×C₇	1	6	yes	—
194	C₂³×C₄	C₂³×C₇	1	3	yes	—
195	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
196	C₂³×C₄	C₂³×C₇	1	2	yes	complemented
197	#123	—	2	24	no	—
198	C₂²⋊Q₈	—	2	24	no	—
199	#121	—	2	24	no	—
200	#120	—	2	24	no	—
201	#120	—	2	32	no	—
202	C₄×D₄	—	2	48	no	—
203	#117	—	2	12	no	—
204	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	complemented
205	C₂×C₄⋊C₄	C₂³×C₇	1	12	yes	complemented
206	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
207	C₂×C₂²⋊C₄	C₂³×C₇	1	12	yes	—
208	C₂×C₂²⋊C₄	C₂³×C₇	1	24	yes	—
209	C₂×C₂²⋊C₄	C₂³×C₇	1	12	yes	complemented
210	C₂×C₄²	C₂³×C₇	1	6	yes	complemented
211	#95	C₂³×C₇	1	24	yes	complemented
212	C₂²×C₇	—	2	96	no	—
213	C₂²×C₇	—	2	128	no	—
214	C₂²×C₇	—	2	12	no	—
215	C₂²×C₇	—	2	12	no	—
216	C₂²×C₇	—	2	12	no	—
217	C₂²×C₇	—	2	48	no	—
218	C₂²×C₇	—	4	2	no	—
219	C₂²×C₇	—	4	12	no	—
220	C₂²×C₇	C₂×#120	1	4	yes	—
221	C₂²×C₇	#525	1	24	yes	complemented
222	C₂²×C₇	C₂³×D₄	1	3	yes	—
223	C₂²×C₇	C₂²×#41	1	4	yes	—
224	C₄×C₇	—	2	12	no	—
225	C₄×C₇	—	4	2	no	—
226	C₄×C₇	—	4	12	no	—
227	C₄×C₇	C₂×#120	1	4	yes	—
228	C₄×C₇	C₂×#120	1	4	yes	—
229	C₂⁴	—	2	32	no	—
230	C₂⁴	—	2	192	no	—
231	C₂⁴	—	2	24	no	—
232	C₂⁴	—	2	12	no	—
233	C₂⁴	—	2	24	no	—
234	C₂⁴	—	2	24	no	—
235	C₂⁴	C₂×C₇×D₄	1	12	yes	—
236	C₂⁴	C₇×#41	1	16	yes	complemented
237	C₂⁴	C₂⁴×C₇	1	2	yes	—
238	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
239	C₂⁴	C₂⁴×C₇	1	6	yes	—
240	#41	—	4	16	no	—
241	C₂×Q₈	—	2	6	no	—
242	C₂×D₄	—	2	24	no	—
243	C₂×D₄	—	2	12	no	—
244	C₂×D₄	—	2	48	no	—
245	C₂×D₄	—	2	6	no	—
246	C₂²×C₄	—	2	96	no	—
247	C₂²×C₄	—	2	128	no	—
248	C₂²×C₄	—	2	128	no	—
249	C₂²×C₄	—	2	24	no	—
250	C₂²×C₄	—	2	12	no	—
251	C₂²×C₄	—	2	96	no	—
252	C₂²×C₄	—	2	48	no	—
253	C₂²×C₄	—	2	24	no	—
254	C₂²×C₄	—	2	24	no	—
255	C₂²×C₄	—	2	12	no	—
256	C₂²×C₄	C₂×C₇×D₄	1	24	yes	—
257	C₂²×C₄	C₂×C₇×D₄	1	24	yes	—
258	C₂²×C₄	C₂×C₇×D₄	1	12	yes	—
259	C₂²×C₄	C₂×C₇×D₄	1	12	yes	—
260	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
261	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
262	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
263	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
264	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
265	C₄⋊C₄	—	2	12	no	—
266	C₄⋊C₄	—	2	24	no	—
267	C₂²⋊C₄	—	2	12	no	—
268	C₂²⋊C₄	—	2	24	no	—
269	C₂²⋊C₄	—	2	48	no	—
270	C₂²⋊C₄	—	2	24	no	—
271	C₄²	—	2	12	no	—
272	C₂×C₇	—	2	4	no	—
273	C₂×C₇	—	2	24	no	—
274	C₂×C₇	—	8	2	no	—
275	C₂×C₇	C₂²×#120	1	1	yes	characteristic
276	C₂×C₇	C₂×#525	1	6	yes	—
277	C₂³	—	2	32	no	—
278	C₂³	—	2	256	no	—
279	C₂³	—	2	96	no	—
280	C₂³	—	2	96	no	—
281	C₂³	—	2	12	no	—
282	C₂³	—	2	4	no	—
283	C₂³	—	2	12	no	—
284	C₂³	—	2	24	no	—
285	C₂³	—	2	48	no	—
286	C₂³	—	2	96	no	—
287	C₂³	—	2	6	no	—
288	C₂³	—	2	8	no	—
289	C₂³	C₂²×C₇×D₄	1	6	yes	—
290	C₂³	C₂²×C₇×D₄	1	12	yes	—
291	C₂³	C₂×C₇×#41	1	24	yes	—
292	C₂³	C₂⁵×C₇	1	1	yes	characteristic
293	Q₈	—	4	4	no	—
294	D₄	—	4	8	no	—
295	D₄	—	4	48	no	—
296	D₄	—	4	4	no	—
297	C₂×C₄	—	2	96	no	—
298	C₂×C₄	—	2	12	no	—
299	C₂×C₄	—	2	24	no	—
300	C₂×C₄	—	2	48	no	—
301	C₂×C₄	—	2	48	no	—
302	C₂×C₄	—	2	12	no	—
303	C₂×C₄	—	2	6	no	—
304	C₂×C₄	—	2	24	no	—
305	C₂×C₄	—	4	8	no	—
306	C₂×C₄	C₇×#120	1	16	yes	complemented
307	C₂×C₄	C₂²×C₇×D₄	1	12	yes	—
308	C₂×C₄	C₂²×C₇×D₄	1	6	yes	—
309	C₂×C₄	C₂²×C₇×D₄	1	6	yes	—
310	C₇	#36614	1	1	yes	characteristic, direct product factor, Sylow
311	C₂²	—	2	96	no	—
312	C₂²	—	2	128	no	—
313	C₂²	—	2	12	no	—
314	C₂²	—	2	12	no	—
315	C₂²	—	2	12	no	—
316	C₂²	—	2	48	no	—
317	C₂²	—	4	2	no	—
318	C₂²	—	4	12	no	—
319	C₂²	C₂×C₇×#120	1	4	yes	—
320	C₂²	C₇×#525	1	24	yes	complemented
321	C₂²	C₂³×C₇×D₄	1	3	yes	—
322	C₂²	C₂²×C₇×#41	1	4	yes	—
323	C₄	—	2	12	no	—
324	C₄	—	4	2	no	—
325	C₄	—	4	12	no	—
326	C₄	C₂×C₇×#120	1	4	yes	—
327	C₄	C₂×C₇×#120	1	4	yes	—
328	C₂	—	2	4	no	—
329	C₂	—	2	24	no	—
330	C₂	—	8	2	no	—
331	C₂	C₂²×C₇×#120	1	1	yes	characteristic
332	C₂	C₂×C₇×#525	1	6	yes	—

	subgroup	G/H
center	C₂²×C₄×C₇	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
socle	C₂³×C₇	C₂⁵
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. C₂⁵×C₄×C₇	C₂	semidirect
2. C₂×C₇×#525	C₂	semidirect
3. C₇×#2849	C₂	semidirect
4. C₇×#2848	C₂	semidirect
5. C₇×#2847	C₂	semidirect
6. C₇×#2846	C₂	semidirect
7. C₄×C₇×#120	C₂	semidirect
8. C₇×#2280	C₂	semidirect
10. C₂²×C₇×#41	C₂²	semidirect
17. C₂×C₇×#123	C₂²	semidirect
18. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
19. C₂×C₇×#121	C₂²	semidirect
22. C₂×C₄×C₇×D₄	C₂²	semidirect
23. C₂×C₇×#117	C₂²	semidirect
24. C₇×#386	C₂²	semidirect
25. C₇×#385	C₂²	semidirect
26. C₇×#381	C₂²	semidirect
27. C₇×#380	C₂²	semidirect
30. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
31. #36614	C₇	direct (N × H)
37. C₂²×C₇×Q₈	C₂³	semidirect
40. C₂²×C₇×D₄	C₂³	semidirect
47. C₂³×C₄×C₇	D₄	semidirect
53. C₂³×C₄×C₇	C₂³	semidirect
61. C₂×C₇×C₄⋊C₄	C₂³	semidirect
62. C₂×C₇×C₄⋊C₄	C₂³	semidirect
66. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
67. C₂×C₄²×C₇	C₂³	semidirect
68. C₇×#95	C₂³	semidirect
69. C₂⁵×C₄	C₂×C₇	semidirect
70. C₂×#525	C₂×C₇	semidirect
71. #2849	C₂×C₇	semidirect
72. #2848	C₂×C₇	semidirect
73. #2847	C₂×C₇	semidirect
74. #2846	C₂×C₇	semidirect
75. C₄×#120	C₂×C₇	semidirect
76. #2280	C₂×C₇	semidirect
84. C₂⁴×C₇	#41	semidirect
121. C₂²×#41	C₂²×C₇	semidirect
128. C₂×#123	C₂²×C₇	semidirect
129. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
130. C₂×#121	C₂²×C₇	semidirect
133. C₂×C₄×D₄	C₂²×C₇	semidirect
134. C₂×#117	C₂²×C₇	semidirect
135. #386	C₂²×C₇	semidirect
136. #385	C₂²×C₇	semidirect
137. #381	C₂²×C₇	semidirect
138. #380	C₂²×C₇	semidirect
141. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
171. C₂×C₄×C₇	#120	semidirect
180. C₂²×Q₈	C₂³×C₇	semidirect
183. C₂²×D₄	C₂³×C₇	semidirect
190. C₂³×C₄	C₇×D₄	semidirect
196. C₂³×C₄	C₂³×C₇	semidirect
204. C₂×C₄⋊C₄	C₂³×C₇	semidirect
205. C₂×C₄⋊C₄	C₂³×C₇	semidirect
209. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
210. C₂×C₄²	C₂³×C₇	semidirect
211. #95	C₂³×C₇	semidirect
221. C₂²×C₇	#525	semidirect
236. C₂⁴	C₇×#41	semidirect
306. C₂×C₄	C₇×#120	semidirect
310. C₇	#36614	direct (N × H)
320. C₂²	C₇×#525	semidirect

Maximal subgroups

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

subgroup	index
C₂⁵×C₄×C₇	2
C₂×C₇×#525	2
C₇×#2849	2
C₇×#2848	2
C₇×#2847	2
C₇×#2846	2
C₄×C₇×#120	2
C₇×#2280	2
#36614	7

Subgroups — C7×#36614 #13213830

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#36614 #13213830