Subgroups — C₇×#22736 #13199952

Order 1792.

812 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#446	C₂	1	2	yes	maximal
2	C₄²×C₇×Q₈	C₂	1	1	yes	maximal, characteristic
3	C₇×#1940	C₂	1	4	yes	maximal
4	C₇×#1939	C₂	1	2	yes	maximal
5	C₇×#1831	C₂	1	2	yes	maximal
6	C₇×#1831	C₂	1	1	yes	maximal, characteristic
7	C₇×#1767	C₂	1	2	yes	maximal
8	C₄×C₇×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
9	C₂×C₄×C₇×Q₈	C₄	1	1	yes	characteristic
10	C₂×C₄×C₇×Q₈	C₄	1	1	yes	characteristic
11	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
12	C₇×#446	—	2	8	no	—
13	C₂×C₇×C₄⋊C₈	C₂²	1	2	yes	—
14	C₂×C₇×C₄⋊C₈	C₂²	1	2	yes	—
15	C₂×C₇×C₄⋊C₈	C₂²	1	4	yes	—
16	C₂×C₇×C₄⋊C₈	C₂²	1	4	yes	—
17	C₂×C₇×#97	C₂²	1	4	yes	—
18	C₂×C₄×C₇×C₈	C₂²	1	2	yes	—
19	C₄×C₇×C₄⋊C₄	C₄	1	1	yes	characteristic
20	C₄×C₇×C₄⋊C₄	C₄	1	2	yes	—
21	C₄×C₇×C₄⋊C₄	C₄	1	2	yes	—
22	C₄×C₇×C₄⋊C₄	C₄	1	1	yes	characteristic
23	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
24	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	—
25	C₄³×C₇	C₂²	1	1	yes	characteristic
26	C₄³×C₇	C₂²	1	2	yes	—
27	C₇×#336	C₂²	1	1	yes	characteristic
28	C₇×#336	C₂²	1	1	yes	characteristic
29	C₇×#336	C₂²	1	2	yes	—
30	C₇×#336	C₂²	1	4	yes	—
31	C₇×#336	C₂²	1	2	yes	—
32	#22736	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂²×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
34	C₂²×C₇×C₈	C₂³	1	2	yes	—
35	C₂²×C₇×C₈	C₂³	1	4	yes	—
36	C₂²×C₇×C₈	C₂³	1	2	yes	—
37	C₄×C₇×Q₈	—	2	4	no	—
38	C₄×C₇×Q₈	—	2	4	no	—
39	C₄×C₇×Q₈	D₄	1	4	yes	—
40	C₄×C₇×Q₈	Q₈	1	4	yes	—
41	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
42	C₂×C₇×C₄⋊C₄	C₂×C₄	1	2	yes	—
43	C₂×C₇×C₄⋊C₄	C₂×C₄	1	2	yes	—
44	C₂×C₇×C₄⋊C₄	C₂×C₄	1	2	yes	—
45	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
46	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
47	C₂×C₄²×C₇	C₂×C₄	1	2	yes	—
48	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄²×C₇	C₂×C₄	1	2	yes	—
50	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
51	C₂×C₄²×C₇	C₂×C₄	1	2	yes	—
52	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
53	C₂×C₄²×C₇	C₂×C₄	1	2	yes	—
54	C₂×C₄²×C₇	C₂×C₄	1	1	yes	characteristic
55	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
56	C₂×C₄²×C₇	C₂³	1	2	yes	—
57	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
58	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
59	C₂×C₄²×C₇	C₂³	1	2	yes	—
60	C₇×C₄⋊C₈	—	2	4	no	—
61	C₇×C₄⋊C₈	—	2	8	no	—
62	C₇×C₄⋊C₈	—	2	4	no	—
63	C₇×C₄⋊C₈	—	2	8	no	—
64	C₇×#97	—	2	8	no	—
65	C₄×C₇×C₈	—	2	4	no	—
66	C₇×#95	C₂×C₄	1	2	yes	—
67	C₇×#95	C₂×C₄	1	2	yes	—
68	C₇×#95	C₂×C₄	1	2	yes	—
69	C₂×#446	C₂×C₇	1	2	yes	—
70	C₄²×Q₈	C₂×C₇	1	1	yes	characteristic
71	#1940	C₂×C₇	1	4	yes	—
72	#1939	C₂×C₇	1	2	yes	—
73	#1831	C₂×C₇	1	2	yes	—
74	#1831	C₂×C₇	1	1	yes	characteristic
75	#1767	C₂×C₇	1	2	yes	—
76	C₄×C₄⋊C₈	C₂×C₇	1	1	yes	characteristic
77	C₂×C₇×Q₈	—	2	2	no	—
78	C₂×C₇×Q₈	—	2	2	no	—
79	C₂×C₇×Q₈	C₄⋊C₄	1	4	yes	—
80	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
82	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
87	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
88	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
90	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
91	C₂×C₇×C₈	—	2	2	no	—
92	C₂×C₇×C₈	—	2	2	no	—
93	C₂×C₇×C₈	—	2	2	no	—
94	C₂×C₇×C₈	—	2	4	no	—
95	C₂×C₇×C₈	—	2	2	no	—
96	C₂×C₇×C₈	—	2	4	no	—
97	C₂×C₇×C₈	—	2	2	no	—
98	C₂×C₇×C₈	—	2	4	no	—
99	C₂×C₇×C₈	#41	1	4	yes	—
100	C₇×C₄⋊C₄	—	2	4	no	—
101	C₇×C₄⋊C₄	—	2	4	no	—
102	C₇×C₄⋊C₄	—	2	2	no	—
103	C₇×C₄⋊C₄	C₄⋊C₄	1	8	yes	—
104	C₇×C₄⋊C₄	C₄⋊C₄	1	4	yes	—
105	C₇×C₄⋊C₄	M₁₆	1	4	yes	—
106	C₄²×C₇	—	2	4	no	—
107	C₄²×C₇	—	2	2	no	—
108	C₄²×C₇	—	2	4	no	—
109	C₄²×C₇	—	2	2	no	—
110	C₄²×C₇	—	2	4	no	—
111	C₄²×C₇	—	2	2	no	—
112	C₄²×C₇	—	2	4	no	—
113	C₄²×C₇	—	2	2	no	—
114	C₄²×C₇	—	4	2	no	—
115	C₄²×C₇	—	4	1	no	—
116	C₄²×C₇	M₁₆	1	4	yes	—
117	C₄²×C₇	C₂×D₄	1	2	yes	—
118	C₄²×C₇	C₂×D₄	1	4	yes	—
119	C₄²×C₇	C₂×Q₈	1	4	yes	—
120	C₄²×C₇	C₂×Q₈	1	2	yes	—
121	C₂×C₄×Q₈	C₄×C₇	1	1	yes	characteristic
122	C₂×C₄×Q₈	C₄×C₇	1	1	yes	characteristic
123	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
124	#446	—	2	8	no	—
125	C₂×C₄⋊C₈	C₂²×C₇	1	2	yes	—
126	C₂×C₄⋊C₈	C₂²×C₇	1	4	yes	—
127	C₂×C₄⋊C₈	C₂²×C₇	1	4	yes	—
128	C₂×C₄⋊C₈	C₂²×C₇	1	2	yes	—
129	C₂×#97	C₂²×C₇	1	4	yes	—
130	C₂×C₄×C₈	C₂²×C₇	1	2	yes	—
131	C₄×C₄⋊C₄	C₄×C₇	1	1	yes	characteristic
132	C₄×C₄⋊C₄	C₄×C₇	1	2	yes	—
133	C₄×C₄⋊C₄	C₄×C₇	1	2	yes	—
134	C₄×C₄⋊C₄	C₄×C₇	1	1	yes	characteristic
135	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
136	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	—
137	C₄³	C₂²×C₇	1	1	yes	characteristic
138	C₄³	C₂²×C₇	1	2	yes	—
139	#336	C₂²×C₇	1	1	yes	characteristic
140	#336	C₂²×C₇	1	2	yes	—
141	#336	C₂²×C₇	1	4	yes	—
142	#336	C₂²×C₇	1	2	yes	—
143	#336	C₂²×C₇	1	1	yes	characteristic
144	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
145	C₇×Q₈	—	2	8	no	—
146	C₂×C₄×C₇	—	2	1	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	1	no	—
151	C₂×C₄×C₇	—	2	2	no	—
152	C₂×C₄×C₇	—	2	2	no	—
153	C₂×C₄×C₇	—	2	1	no	—
154	C₂×C₄×C₇	—	2	2	no	—
155	C₂×C₄×C₇	—	2	1	no	—
156	C₂×C₄×C₇	—	2	1	no	—
157	C₂×C₄×C₇	—	2	2	no	—
158	C₂×C₄×C₇	—	2	1	no	—
159	C₂×C₄×C₇	—	2	2	no	—
160	C₂×C₄×C₇	—	2	2	no	—
161	C₂×C₄×C₇	—	2	1	no	—
162	C₂×C₄×C₇	—	2	2	no	—
163	C₂×C₄×C₇	—	2	1	no	—
164	C₂×C₄×C₇	—	2	2	no	—
165	C₂×C₄×C₇	—	2	1	no	—
166	C₂×C₄×C₇	C₂×C₄⋊C₄	1	2	yes	—
167	C₂×C₄×C₇	C₂×C₄⋊C₄	1	4	yes	—
168	C₂×C₄×C₇	C₂×C₄⋊C₄	1	4	yes	—
169	C₂×C₄×C₇	C₂×C₄⋊C₄	1	2	yes	—
170	C₂×C₄×C₇	C₂×M₁₆	1	2	yes	—
171	C₂×C₄×C₇	C₂×M₁₆	1	4	yes	—
172	C₂×C₄×C₇	C₂×M₁₆	1	2	yes	—
173	C₂×C₄×C₇	C₂×M₁₆	1	2	yes	—
174	C₂×C₄×C₇	C₂×M₁₆	1	2	yes	—
175	C₂×C₄×C₇	#131	1	2	yes	—
176	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
177	C₂×C₄×C₇	C₂²×Q₈	1	1	yes	characteristic
178	C₂×C₄×C₇	C₂×#41	1	2	yes	—
179	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
180	C₇×C₈	—	2	4	no	—
181	C₇×C₈	—	4	2	no	—
182	C₇×C₈	—	4	4	no	—
183	C₂²×Q₈	C₂×C₄×C₇	1	1	yes	characteristic
184	C₂²×C₈	C₂³×C₇	1	2	yes	—
185	C₂²×C₈	C₂³×C₇	1	4	yes	—
186	C₂²×C₈	C₂³×C₇	1	2	yes	—
187	C₄×Q₈	—	2	4	no	—
188	C₄×Q₈	—	2	4	no	—
189	C₄×Q₈	C₇×D₄	1	4	yes	—
190	C₄×Q₈	C₇×Q₈	1	4	yes	—
191	C₂×C₄⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
192	C₂×C₄⋊C₄	C₂×C₄×C₇	1	2	yes	—
193	C₂×C₄⋊C₄	C₂×C₄×C₇	1	2	yes	—
194	C₂×C₄⋊C₄	C₂×C₄×C₇	1	2	yes	—
195	C₂×C₄⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
196	C₂×C₄⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
197	C₂×C₄²	C₂×C₄×C₇	1	2	yes	—
198	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
199	C₂×C₄²	C₂×C₄×C₇	1	2	yes	—
200	C₂×C₄²	C₂×C₄×C₇	1	2	yes	—
201	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
202	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
203	C₂×C₄²	C₂×C₄×C₇	1	2	yes	—
204	C₂×C₄²	C₂×C₄×C₇	1	1	yes	characteristic
205	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
206	C₂×C₄²	C₂³×C₇	1	2	yes	—
207	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
208	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
209	C₂×C₄²	C₂³×C₇	1	2	yes	—
210	C₄⋊C₈	—	2	8	no	—
211	C₄⋊C₈	—	2	4	no	—
212	C₄⋊C₈	—	2	4	no	—
213	C₄⋊C₈	—	2	8	no	—
214	#97	—	2	8	no	—
215	C₄×C₈	—	2	4	no	—
216	#95	C₂×C₄×C₇	1	2	yes	—
217	#95	C₂×C₄×C₇	1	2	yes	—
218	#95	C₂×C₄×C₇	1	2	yes	—
219	C₂²×C₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
220	C₂²×C₇	C₄×#41	1	1	yes	characteristic
221	C₂²×C₇	#519	1	1	yes	characteristic
222	C₂²×C₇	C₂²×M₁₆	1	1	yes	characteristic
223	C₂²×C₇	C₂²×M₁₆	1	1	yes	characteristic
224	C₂²×C₇	C₂×#131	1	1	yes	characteristic
225	C₂²×C₇	#568	1	1	yes	characteristic
226	C₄×C₇	—	2	4	no	—
227	C₄×C₇	—	2	2	no	—
228	C₄×C₇	—	2	4	no	—
229	C₄×C₇	—	2	2	no	—
230	C₄×C₇	—	2	4	no	—
231	C₄×C₇	—	2	2	no	—
232	C₄×C₇	—	2	2	no	—
233	C₄×C₇	—	4	2	no	—
234	C₄×C₇	—	4	1	no	—
235	C₄×C₇	#423	1	4	yes	—
236	C₄×C₇	#548	1	2	yes	—
237	C₄×C₇	#557	1	2	yes	—
238	C₂×Q₈	—	2	2	no	—
239	C₂×Q₈	—	2	2	no	—
240	C₂×Q₈	C₇×C₄⋊C₄	1	4	yes	—
241	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
242	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
243	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
244	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
245	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
246	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
247	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
248	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
249	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
250	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
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	2	no	—
255	C₂×C₈	—	2	4	no	—
256	C₂×C₈	—	2	2	no	—
257	C₂×C₈	—	2	4	no	—
258	C₂×C₈	—	2	2	no	—
259	C₂×C₈	—	2	4	no	—
260	C₂×C₈	C₇×#41	1	4	yes	—
261	C₄⋊C₄	—	2	4	no	—
262	C₄⋊C₄	—	2	4	no	—
263	C₄⋊C₄	—	2	2	no	—
264	C₄⋊C₄	C₇×C₄⋊C₄	1	8	yes	—
265	C₄⋊C₄	C₇×C₄⋊C₄	1	4	yes	—
266	C₄⋊C₄	C₇×M₁₆	1	4	yes	—
267	C₄²	—	2	4	no	—
268	C₄²	—	2	2	no	—
269	C₄²	—	2	4	no	—
270	C₄²	—	2	2	no	—
271	C₄²	—	2	4	no	—
272	C₄²	—	2	2	no	—
273	C₄²	—	2	4	no	—
274	C₄²	—	2	2	no	—
275	C₄²	—	4	2	no	—
276	C₄²	—	4	1	no	—
277	C₄²	C₇×M₁₆	1	4	yes	—
278	C₄²	C₂×C₇×D₄	1	2	yes	—
279	C₄²	C₂×C₇×D₄	1	4	yes	—
280	C₄²	C₂×C₇×Q₈	1	4	yes	—
281	C₄²	C₂×C₇×Q₈	1	2	yes	—
282	C₂×C₇	#2351	1	1	yes	characteristic
283	C₂×C₇	C₂×#423	1	1	yes	characteristic
284	C₂×C₇	#2906	1	1	yes	characteristic
285	C₂×C₇	#2965	1	1	yes	characteristic
286	C₂×C₇	#2970	1	1	yes	characteristic
287	C₂×C₇	#2983	1	1	yes	characteristic
288	C₂×C₇	#2984	1	1	yes	characteristic
289	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
290	Q₈	—	2	8	no	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	C₂×C₇×C₄⋊C₄	1	2	yes	—
312	C₂×C₄	C₂×C₇×C₄⋊C₄	1	4	yes	—
313	C₂×C₄	C₂×C₇×C₄⋊C₄	1	4	yes	—
314	C₂×C₄	C₂×C₇×C₄⋊C₄	1	2	yes	—
315	C₂×C₄	C₂×C₇×M₁₆	1	2	yes	—
316	C₂×C₄	C₂×C₇×M₁₆	1	4	yes	—
317	C₂×C₄	C₂×C₇×M₁₆	1	2	yes	—
318	C₂×C₄	C₂×C₇×M₁₆	1	2	yes	—
319	C₂×C₄	C₂×C₇×M₁₆	1	2	yes	—
320	C₂×C₄	C₇×#131	1	2	yes	—
321	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
322	C₂×C₄	C₂²×C₇×Q₈	1	1	yes	characteristic
323	C₂×C₄	C₂×C₇×#41	1	2	yes	—
324	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
325	C₈	—	2	4	no	—
326	C₈	—	4	2	no	—
327	C₈	—	4	4	no	—
328	C₇	#22736	1	1	yes	characteristic, direct product factor, Sylow
329	C₂²	C₂²×C₇×C₄⋊C₄	1	1	yes	characteristic
330	C₂²	C₄×C₇×#41	1	1	yes	characteristic
331	C₂²	C₇×#519	1	1	yes	characteristic
332	C₂²	C₂²×C₇×M₁₆	1	1	yes	characteristic
333	C₂²	C₂²×C₇×M₁₆	1	1	yes	characteristic
334	C₂²	C₂×C₇×#131	1	1	yes	characteristic
335	C₂²	C₇×#568	1	1	yes	characteristic
336	C₄	—	2	4	no	—
337	C₄	—	2	2	no	—
338	C₄	—	2	4	no	—
339	C₄	—	2	2	no	—
340	C₄	—	2	4	no	—
341	C₄	—	2	2	no	—
342	C₄	—	2	2	no	—
343	C₄	—	4	2	no	—
344	C₄	—	4	1	no	—
345	C₄	C₇×#423	1	4	yes	—
346	C₄	C₇×#548	1	2	yes	—
347	C₄	C₇×#557	1	2	yes	—
348	C₂	C₇×#2351	1	1	yes	characteristic
349	C₂	C₂×C₇×#423	1	1	yes	characteristic
350	C₂	C₇×#2906	1	1	yes	characteristic
351	C₂	C₇×#2965	1	1	yes	characteristic
352	C₂	C₇×#2970	1	1	yes	characteristic
353	C₂	C₇×#2983	1	1	yes	characteristic
354	C₂	C₇×#2984	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₇	C₂⁴
commutator	C₂³	C₂³×C₄×C₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₇
socle, prime radical	C₂³×C₇	C₂³×C₄
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
32. #22736	C₇	direct (N × H)
328. C₇	#22736	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×#446	2
C₄²×C₇×Q₈	2
C₇×#1940	2
C₇×#1939	2
C₇×#1831	2
C₇×#1767	2
C₄×C₇×C₄⋊C₈	2
#22736	7

Subgroups — C7×#22736 #13199952

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#22736 #13199952