Subgroups — C₇×#22658 #13199874

Order 1792.

982 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×C₈×D₄	C₂	1	1	yes	maximal, characteristic
2	C₂×C₇×#427	C₂	1	2	yes	maximal, complemented
3	C₇×#2354	C₂	1	2	yes	maximal
4	C₇×#1948	C₂	1	2	yes	maximal, complemented
5	C₇×#1854	C₂	1	4	yes	maximal, complemented
6	C₇×#1845	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#1808	C₂	1	2	yes	maximal, complemented
8	C₄×C₇×#107	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×C₇×C₈	C₂²	1	2	yes	—
10	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
11	C₂×C₇×#117	C₂²	1	4	yes	—
12	C₇×C₈×D₄	C₄	1	8	yes	complemented
13	C₇×#427	—	2	8	no	—
14	C₂×C₇×#107	C₂²	1	2	yes	—
15	C₂×C₇×#107	C₂²	1	1	yes	characteristic
16	C₂×C₇×#107	C₂²	1	2	yes	—
17	C₂×C₇×#107	C₂²	1	1	yes	characteristic
18	C₂×C₇×#106	C₂²	1	4	yes	—
19	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
20	C₂×C₇×C₂²⋊C₈	C₂²	1	2	yes	—
21	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic
22	C₇×#390	—	2	2	no	—
23	C₇×#388	—	2	4	no	—
24	C₇×#384	C₂²	1	2	yes	—
25	C₇×#380	C₂²	1	4	yes	—
26	C₄×C₇×C₄⋊C₄	—	2	2	no	—
27	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
28	C₇×#340	C₂²	1	2	yes	—
29	C₇×#340	C₂²	1	4	yes	—
30	#22658	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
31	C₂²×C₇×D₄	D₄	1	1	yes	characteristic
32	C₂³×C₄×C₇	C₂³	1	2	yes	—
33	C₂²×C₇×C₈	—	2	4	no	—
34	C₂²×C₇×C₈	—	2	4	no	—
35	C₂²×C₇×C₈	C₂×C₄	1	8	yes	—
36	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
37	C₂²×C₇×C₈	C₂³	1	2	yes	—
38	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
39	C₄×C₇×D₄	C₂×C₄	1	4	yes	—
40	C₄×C₇×D₄	Q₈	1	4	yes	—
41	C₇×#117	—	2	8	no	—
42	C₇×#117	—	4	4	no	—
43	C₂×C₇×C₄⋊C₄	—	2	2	no	—
44	C₂×C₇×C₄⋊C₄	—	2	2	no	—
45	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
46	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
47	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
48	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
49	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
50	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
51	C₂×C₇×C₂²⋊C₄	D₄	1	2	yes	—
52	C₂×C₄²×C₇	—	2	4	no	—
53	C₂×C₄²×C₇	—	2	2	no	—
54	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
55	C₇×#107	—	2	4	no	—
56	C₇×#107	—	2	2	no	—
57	C₇×#107	—	4	2	no	—
58	C₇×#107	D₄	1	4	yes	complemented
59	C₇×#106	—	2	8	no	—
60	C₇×C₄⋊C₈	C₂×C₄	1	4	yes	—
61	C₇×C₂²⋊C₈	C₂×C₄	1	8	yes	—
62	C₄×C₇×C₈	C₂×C₄	1	4	yes	—
63	C₇×#95	—	2	4	no	—
64	C₇×#95	—	2	2	no	—
65	C₂×C₈×D₄	C₂×C₇	1	1	yes	characteristic
66	C₂×#427	C₂×C₇	1	2	yes	complemented
67	#2354	C₂×C₇	1	2	yes	—
68	#1948	C₂×C₇	1	2	yes	complemented
69	#1854	C₂×C₇	1	4	yes	complemented
70	#1845	C₂×C₇	1	1	yes	characteristic, complemented
71	#1808	C₂×C₇	1	2	yes	complemented
72	C₄×#107	C₂×C₇	1	1	yes	characteristic, complemented
73	C₂⁴×C₇	C₂×D₄	1	2	yes	—
74	C₂×C₇×D₄	—	2	2	no	—
75	C₂×C₇×D₄	—	2	2	no	—
76	C₂×C₇×D₄	C₄⋊C₄	1	4	yes	—
77	C₂²×C₄×C₇	—	2	2	no	—
78	C₂²×C₄×C₇	—	2	2	no	—
79	C₂²×C₄×C₇	—	2	2	no	—
80	C₂²×C₄×C₇	—	2	2	no	—
81	C₂²×C₄×C₇	—	2	2	no	—
82	C₂²×C₄×C₇	—	2	2	no	—
83	C₂²×C₄×C₇	—	2	4	no	—
84	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
85	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₇	C₂×Q₈	1	4	yes	—
89	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
90	C₂×C₇×C₈	—	2	2	no	—
91	C₂×C₇×C₈	—	2	2	no	—
92	C₂×C₇×C₈	—	2	1	no	—
93	C₂×C₇×C₈	—	2	1	no	—
94	C₂×C₇×C₈	—	2	16	no	—
95	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
96	C₂×C₇×C₈	C₂²×C₄	1	4	yes	—
97	C₂×C₇×C₈	C₂²×C₄	1	2	yes	—
98	C₂×C₇×C₈	C₂×D₄	1	2	yes	—
99	C₂×C₇×C₈	#41	1	2	yes	—
100	C₇×C₄⋊C₄	—	2	2	no	—
101	C₇×C₄⋊C₄	—	2	4	no	—
102	C₇×C₄⋊C₄	—	2	2	no	—
103	C₇×C₄⋊C₄	—	2	4	no	—
104	C₇×C₄⋊C₄	—	2	2	no	—
105	C₇×C₄⋊C₄	—	4	4	no	—
106	C₇×C₄⋊C₄	—	8	2	no	—
107	C₇×C₄⋊C₄	C₄⋊C₄	1	4	yes	—
108	C₇×C₄⋊C₄	C₂×D₄	1	4	yes	—
109	C₇×C₂²⋊C₄	—	4	8	no	—
110	C₇×C₂²⋊C₄	—	8	4	no	—
111	C₇×C₂²⋊C₄	C₄⋊C₄	1	8	yes	—
112	C₄²×C₇	—	4	8	no	—
113	C₄²×C₇	—	4	4	no	—
114	C₄²×C₇	C₂²×C₄	1	2	yes	—
115	C₄²×C₇	C₂×Q₈	1	2	yes	—
116	C₂³×C₈	C₂²×C₇	1	2	yes	—
117	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
118	C₂×#117	C₂²×C₇	1	4	yes	—
119	C₈×D₄	C₄×C₇	1	8	yes	complemented
120	#427	—	2	8	no	—
121	C₂×#107	C₂²×C₇	1	1	yes	characteristic
122	C₂×#107	C₂²×C₇	1	2	yes	—
123	C₂×#107	C₂²×C₇	1	2	yes	—
124	C₂×#107	C₂²×C₇	1	1	yes	characteristic
125	C₂×#106	C₂²×C₇	1	4	yes	—
126	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
127	C₂×C₂²⋊C₈	C₂²×C₇	1	2	yes	—
128	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic
129	#390	—	2	2	no	—
130	#388	—	2	4	no	—
131	#384	C₂²×C₇	1	2	yes	—
132	#380	C₂²×C₇	1	4	yes	—
133	C₄×C₄⋊C₄	—	2	2	no	—
134	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
135	#340	C₂²×C₇	1	4	yes	—
136	#340	C₂²×C₇	1	2	yes	—
137	C₂³×C₇	—	2	2	no	—
138	C₂³×C₇	—	2	2	no	—
139	C₂³×C₇	—	2	2	no	—
140	C₂³×C₇	—	2	2	no	—
141	C₂³×C₇	—	2	2	no	—
142	C₂³×C₇	—	2	2	no	—
143	C₂³×C₇	C₂×C₄⋊C₄	1	4	yes	—
144	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
145	C₇×D₄	—	2	8	no	—
146	C₂×C₄×C₇	—	2	2	no	—
147	C₂×C₄×C₇	—	2	2	no	—
148	C₂×C₄×C₇	—	2	1	no	—
149	C₂×C₄×C₇	—	2	1	no	—
150	C₂×C₄×C₇	—	2	4	no	—
151	C₂×C₄×C₇	—	2	4	no	—
152	C₂×C₄×C₇	—	2	4	no	—
153	C₂×C₄×C₇	—	2	4	no	—
154	C₂×C₄×C₇	—	2	4	no	—
155	C₂×C₄×C₇	—	4	2	no	—
156	C₂×C₄×C₇	—	4	2	no	—
157	C₂×C₄×C₇	—	4	4	no	—
158	C₂×C₄×C₇	—	4	2	no	—
159	C₂×C₄×C₇	—	4	2	no	—
160	C₂×C₄×C₇	—	4	4	no	—
161	C₂×C₄×C₇	—	4	2	no	—
162	C₂×C₄×C₇	—	4	4	no	—
163	C₂×C₄×C₇	C₂×C₄⋊C₄	1	2	yes	—
164	C₂×C₄×C₇	C₂×C₄⋊C₄	1	4	yes	—
165	C₂×C₄×C₇	C₂×C₄⋊C₄	1	2	yes	—
166	C₂×C₄×C₇	#135	1	2	yes	—
167	C₂×C₄×C₇	#135	1	2	yes	—
168	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
169	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₇	C₂²×Q₈	1	1	yes	characteristic
171	C₂×C₄×C₇	C₂×#41	1	1	yes	characteristic
172	C₂×C₄×C₇	H(5,𝔽₂)	1	1	yes	characteristic
173	C₂×C₄×C₇	2₋¹⁺⁴	1	1	yes	characteristic
174	C₇×C₈	—	2	4	no	—
175	C₇×C₈	—	2	2	no	—
176	C₇×C₈	C₄×D₄	1	4	yes	—
177	C₂²×D₄	C₇×D₄	1	1	yes	characteristic
178	C₂³×C₄	C₂³×C₇	1	2	yes	—
179	C₂²×C₈	—	2	4	no	—
180	C₂²×C₈	—	2	4	no	—
181	C₂²×C₈	C₂×C₄×C₇	1	8	yes	—
182	C₂²×C₈	C₂³×C₇	1	2	yes	—
183	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
184	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
185	C₄×D₄	C₂×C₄×C₇	1	4	yes	—
186	C₄×D₄	C₇×Q₈	1	4	yes	—
187	#117	—	2	8	no	—
188	#117	—	4	4	no	—
189	C₂×C₄⋊C₄	—	2	2	no	—
190	C₂×C₄⋊C₄	—	2	2	no	—
191	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
192	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
193	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
194	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
195	C₂×C₂²⋊C₄	—	2	4	no	—
196	C₂×C₂²⋊C₄	—	2	4	no	—
197	C₂×C₂²⋊C₄	C₇×D₄	1	2	yes	—
198	C₂×C₄²	—	2	4	no	—
199	C₂×C₄²	—	2	2	no	—
200	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
201	#107	—	2	4	no	—
202	#107	—	2	2	no	—
203	#107	—	4	2	no	—
204	#107	C₇×D₄	1	4	yes	complemented
205	#106	—	2	8	no	—
206	C₄⋊C₈	C₂×C₄×C₇	1	4	yes	—
207	C₂²⋊C₈	C₂×C₄×C₇	1	8	yes	—
208	C₄×C₈	C₂×C₄×C₇	1	4	yes	—
209	#95	—	2	4	no	—
210	#95	—	2	2	no	—
211	C₂²×C₇	—	2	4	no	—
212	C₂²×C₇	—	2	4	no	—
213	C₂²×C₇	—	2	4	no	—
214	C₂²×C₇	—	4	2	no	—
215	C₂²×C₇	—	4	2	no	—
216	C₂²×C₇	—	4	2	no	—
217	C₂²×C₇	—	4	2	no	—
218	C₂²×C₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
219	C₂²×C₇	D₄²	1	1	yes	characteristic
220	C₂²×C₇	#547	1	1	yes	characteristic
221	C₂²×C₇	C₂×#135	1	1	yes	characteristic
222	C₂²×C₇	C₂×#135	1	1	yes	characteristic
223	C₂²×C₇	#576	1	1	yes	characteristic
224	C₂²×C₇	#578	1	1	yes	characteristic
225	C₄×C₇	—	2	4	no	—
226	C₄×C₇	—	2	2	no	—
227	C₄×C₇	—	4	4	no	—
228	C₄×C₇	—	8	2	no	—
229	C₄×C₇	—	8	4	no	—
230	C₄×C₇	#427	1	4	yes	complemented
231	C₄×C₇	C₂×C₄×D₄	1	1	yes	characteristic
232	C₄×C₇	#520	1	1	yes	characteristic
233	C₄×C₇	D₄×Q₈	1	1	yes	characteristic
234	C₄×C₇	#554	1	1	yes	characteristic
235	C₂⁴	C₂×C₇×D₄	1	2	yes	—
236	C₂×D₄	—	2	2	no	—
237	C₂×D₄	—	2	2	no	—
238	C₂×D₄	C₇×C₄⋊C₄	1	4	yes	—
239	C₂²×C₄	—	2	2	no	—
240	C₂²×C₄	—	2	2	no	—
241	C₂²×C₄	—	2	2	no	—
242	C₂²×C₄	—	2	2	no	—
243	C₂²×C₄	—	2	2	no	—
244	C₂²×C₄	—	2	2	no	—
245	C₂²×C₄	—	2	4	no	—
246	C₂²×C₄	C₂²×C₄×C₇	1	4	yes	—
247	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
248	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
249	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
250	C₂²×C₄	C₂×C₇×Q₈	1	4	yes	—
251	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
252	C₂×C₈	—	2	2	no	—
253	C₂×C₈	—	2	2	no	—
254	C₂×C₈	—	2	1	no	—
255	C₂×C₈	—	2	1	no	—
256	C₂×C₈	—	2	16	no	—
257	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
258	C₂×C₈	C₂²×C₄×C₇	1	4	yes	—
259	C₂×C₈	C₂²×C₄×C₇	1	2	yes	—
260	C₂×C₈	C₂×C₇×D₄	1	2	yes	—
261	C₂×C₈	C₇×#41	1	2	yes	—
262	C₄⋊C₄	—	2	2	no	—
263	C₄⋊C₄	—	2	4	no	—
264	C₄⋊C₄	—	2	2	no	—
265	C₄⋊C₄	—	2	4	no	—
266	C₄⋊C₄	—	2	2	no	—
267	C₄⋊C₄	—	4	4	no	—
268	C₄⋊C₄	—	8	2	no	—
269	C₄⋊C₄	C₇×C₄⋊C₄	1	4	yes	—
270	C₄⋊C₄	C₂×C₇×D₄	1	4	yes	—
271	C₂²⋊C₄	—	4	8	no	—
272	C₂²⋊C₄	—	8	4	no	—
273	C₂²⋊C₄	C₇×C₄⋊C₄	1	8	yes	—
274	C₄²	—	4	8	no	—
275	C₄²	—	4	4	no	—
276	C₄²	C₂²×C₄×C₇	1	2	yes	—
277	C₄²	C₂×C₇×Q₈	1	2	yes	—
278	C₂×C₇	—	4	4	no	—
279	C₂×C₇	D₄×C₄⋊C₄	1	1	yes	characteristic
280	C₂×C₇	C₂×#427	1	1	yes	characteristic
281	C₂×C₇	#2913	1	1	yes	characteristic
282	C₂×C₇	#3283	1	1	yes	characteristic
283	C₂×C₇	#3287	1	1	yes	characteristic
284	C₂×C₇	#3341	1	1	yes	characteristic
285	C₂×C₇	#3342	1	1	yes	characteristic
286	C₂³	—	2	2	no	—
287	C₂³	—	2	2	no	—
288	C₂³	—	2	2	no	—
289	C₂³	—	2	2	no	—
290	C₂³	—	2	2	no	—
291	C₂³	—	2	2	no	—
292	C₂³	C₂×C₇×C₄⋊C₄	1	4	yes	—
293	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
294	D₄	—	2	8	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	4	no	—
300	C₂×C₄	—	2	4	no	—
301	C₂×C₄	—	2	4	no	—
302	C₂×C₄	—	2	4	no	—
303	C₂×C₄	—	2	4	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	—	4	2	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	4	2	no	—
308	C₂×C₄	—	4	2	no	—
309	C₂×C₄	—	4	4	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	4	4	no	—
312	C₂×C₄	C₂×C₇×C₄⋊C₄	1	2	yes	—
313	C₂×C₄	C₂×C₇×C₄⋊C₄	1	4	yes	—
314	C₂×C₄	C₂×C₇×C₄⋊C₄	1	2	yes	—
315	C₂×C₄	C₇×#135	1	2	yes	—
316	C₂×C₄	C₇×#135	1	2	yes	—
317	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
318	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
319	C₂×C₄	C₂²×C₇×Q₈	1	1	yes	characteristic
320	C₂×C₄	C₂×C₇×#41	1	1	yes	characteristic
321	C₂×C₄	C₇×H(5,𝔽₂)	1	1	yes	characteristic
322	C₂×C₄	C₇×2₋¹⁺⁴	1	1	yes	characteristic
323	C₈	—	2	4	no	—
324	C₈	—	2	2	no	—
325	C₈	C₄×C₇×D₄	1	4	yes	—
326	C₇	#22658	1	1	yes	characteristic, direct product factor, Sylow
327	C₂²	—	2	4	no	—
328	C₂²	—	2	4	no	—
329	C₂²	—	2	4	no	—
330	C₂²	—	4	2	no	—
331	C₂²	—	4	2	no	—
332	C₂²	—	4	2	no	—
333	C₂²	—	4	2	no	—
334	C₂²	C₂²×C₇×C₄⋊C₄	1	1	yes	characteristic
335	C₂²	C₇×D₄²	1	1	yes	characteristic
336	C₂²	C₇×#547	1	1	yes	characteristic
337	C₂²	C₂×C₇×#135	1	1	yes	characteristic
338	C₂²	C₂×C₇×#135	1	1	yes	characteristic
339	C₂²	C₇×#576	1	1	yes	characteristic
340	C₂²	C₇×#578	1	1	yes	characteristic
341	C₄	—	2	2	no	—
342	C₄	—	2	4	no	—
343	C₄	—	4	4	no	—
344	C₄	—	8	4	no	—
345	C₄	—	8	2	no	—
346	C₄	C₇×#427	1	4	yes	complemented
347	C₄	C₂×C₄×C₇×D₄	1	1	yes	characteristic
348	C₄	C₇×#520	1	1	yes	characteristic
349	C₄	C₇×D₄×Q₈	1	1	yes	characteristic
350	C₄	C₇×#554	1	1	yes	characteristic
351	C₂	—	4	4	no	—
352	C₂	C₇×D₄×C₄⋊C₄	1	1	yes	characteristic
353	C₂	C₂×C₇×#427	1	1	yes	characteristic
354	C₂	C₇×#2913	1	1	yes	characteristic
355	C₂	C₇×#3283	1	1	yes	characteristic
356	C₂	C₇×#3287	1	1	yes	characteristic
357	C₂	C₇×#3341	1	1	yes	characteristic
358	C₂	C₇×#3342	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₇
prime radical	C₂²×C₇×D₄	D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ C₂×C₄×C₇×D₄ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₇×#427	C₂	semidirect
4. C₇×#1948	C₂	semidirect
5. C₇×#1854	C₂	semidirect
6. C₇×#1845	C₂	semidirect
7. C₇×#1808	C₂	semidirect
8. C₄×C₇×#107	C₂	semidirect
12. C₇×C₈×D₄	C₄	semidirect
30. #22658	C₇	direct (N × H)
58. C₇×#107	D₄	semidirect
66. C₂×#427	C₂×C₇	semidirect
68. #1948	C₂×C₇	semidirect
69. #1854	C₂×C₇	semidirect
70. #1845	C₂×C₇	semidirect
71. #1808	C₂×C₇	semidirect
72. C₄×#107	C₂×C₇	semidirect
119. C₈×D₄	C₄×C₇	semidirect
204. #107	C₇×D₄	semidirect
230. C₄×C₇	#427	semidirect
326. C₇	#22658	direct (N × H)
346. C₄	C₇×#427	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₇×C₈×D₄	2
C₂×C₇×#427	2
C₇×#2354	2
C₇×#1948	2
C₇×#1854	2
C₇×#1845	2
C₇×#1808	2
C₄×C₇×#107	2
#22658	7

Subgroups — C7×#22658 #13199874

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#22658 #13199874