Subgroups — C₇×#23362 #13200578

Order 1792.

706 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3153	C₂	1	1	yes	maximal, characteristic
2	C₇×#1905	C₂	1	2	yes	maximal, complemented
3	C₇×#1904	C₂	1	2	yes	maximal, complemented
4	C₇×#1903	C₂	1	2	yes	maximal, complemented
5	C₇×#1902	C₂	1	2	yes	maximal, complemented
6	C₇×#1888	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#1885	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#1884	C₂	1	2	yes	maximal, complemented
9	C₇×#1841	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#137	C₂²	1	2	yes	—
11	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	2	yes	—
12	C₇×#568	C₂²	1	2	yes	—
13	C₇×#532	C₂²	1	1	yes	characteristic
14	C₂×C₇×#124	C₂²	1	1	yes	characteristic
15	C₇×#519	C₂²	1	1	yes	characteristic
16	C₇×#518	C₂²	1	1	yes	characteristic
17	C₇×#497	C₄	1	2	yes	complemented
18	C₇×#496	C₄	1	2	yes	complemented
19	C₇×#495	C₄	1	4	yes	complemented
20	C₇×#421	C₂²	1	2	yes	—
21	C₇×#421	C₂²	1	2	yes	—
22	C₇×#419	C₂²	1	2	yes	—
23	C₇×#418	C₂²	1	2	yes	—
24	C₂×C₇×#101	C₂²	1	1	yes	characteristic
25	C₂×C₇×#100	C₂²	1	1	yes	characteristic
26	C₇×#410	C₂²	1	2	yes	—
27	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic
28	C₇×#344	C₂²	1	2	yes	—
29	C₇×#344	C₂²	1	2	yes	—
30	C₇×#339	C₂²	1	2	yes	—
31	C₇×#339	C₂²	1	2	yes	—
32	C₇×#338	C₂²	1	2	yes	—
33	C₇×H(3,ℤ/4)	C₂²	1	2	yes	—
34	#23362	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
35	C₂×C₇×#41	C₂³	1	2	yes	—
36	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
37	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
38	C₇×#137	—	4	2	no	—
39	C₇×#137	—	4	2	no	—
40	C₇×AGL(1,ℤ/8)	—	4	2	no	—
41	C₇×AGL(1,ℤ/8)	—	4	2	no	—
42	C₂×C₇×Q₁₆	C₂×C₄	1	4	yes	complemented
43	C₂×C₇×SD₁₆	C₂×C₄	1	4	yes	—
44	C₂×C₇×SD₁₆	C₂×C₄	1	4	yes	complemented
45	C₂×C₇×D₈	C₂×C₄	1	4	yes	—
46	C₇×#131	—	4	2	no	—
47	C₇×#131	—	4	2	no	—
48	C₂×C₇×M₁₆	—	4	2	no	—
49	C₂×C₇×M₁₆	C₂³	1	2	yes	—
50	C₂×C₇×M₁₆	C₂³	1	2	yes	—
51	C₂×C₇×M₁₆	C₂³	1	2	yes	—
52	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
53	C₇×#127	C₂×C₄	1	1	yes	characteristic, complemented
54	C₇×#124	—	4	1	no	—
55	C₇×#124	C₂×C₄	1	2	yes	—
56	C₇×#124	C₂×C₄	1	2	yes	—
57	C₇×#124	C₂×C₄	1	2	yes	complemented
58	C₇×#121	—	4	1	no	—
59	C₄×C₇×Q₈	—	4	2	no	—
60	C₄×C₇×D₄	—	4	2	no	—
61	C₄×C₇×D₄	—	4	1	no	—
62	C₇×#117	—	4	1	no	—
63	C₇×#117	C₂³	1	2	yes	—
64	C₇×#117	C₂³	1	2	yes	—
65	C₂×C₇×C₂²⋊C₄	—	4	1	no	—
66	C₂×C₇×C₂²⋊C₄	—	4	1	no	—
67	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
68	C₇×#104	—	4	2	no	—
69	C₇×#104	—	4	2	no	—
70	C₇×#103	—	4	2	no	—
71	C₇×#102	—	4	2	no	—
72	C₇×#101	—	4	1	no	—
73	C₇×#100	—	4	1	no	—
74	C₇×#99	—	4	2	no	—
75	C₇×#97	C₂×C₄	1	2	yes	complemented
76	C₄×C₇×C₈	C₂×C₄	1	2	yes	complemented
77	#3153	C₂×C₇	1	1	yes	characteristic
78	#1905	C₂×C₇	1	2	yes	complemented
79	#1904	C₂×C₇	1	2	yes	complemented
80	#1903	C₂×C₇	1	2	yes	complemented
81	#1902	C₂×C₇	1	2	yes	complemented
82	#1888	C₂×C₇	1	1	yes	characteristic, complemented
83	#1885	C₂×C₇	1	1	yes	characteristic, complemented
84	#1884	C₂×C₇	1	2	yes	complemented
85	#1841	C₂×C₇	1	2	yes	complemented
86	C₂⁴×C₇	—	2	1	no	—
87	C₇×#41	—	2	2	no	—
88	C₇×#41	—	2	2	no	—
89	C₇×#41	—	2	2	no	—
90	C₇×#41	—	2	2	no	—
91	C₂×C₇×Q₈	—	2	1	no	—
92	C₂×C₇×Q₈	—	2	2	no	—
93	C₂×C₇×Q₈	—	2	2	no	—
94	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
95	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
96	C₂×C₇×D₄	—	2	2	no	—
97	C₂×C₇×D₄	—	2	2	no	—
98	C₂×C₇×D₄	—	2	2	no	—
99	C₂×C₇×D₄	—	2	1	no	—
100	C₂×C₇×D₄	—	4	1	no	—
101	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
102	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
103	C₂²×C₄×C₇	—	2	1	no	—
104	C₂²×C₄×C₇	—	2	1	no	—
105	C₂²×C₄×C₇	—	2	2	no	—
106	C₂²×C₄×C₇	—	4	2	no	—
107	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
108	C₇×Q₁₆	—	4	4	no	—
109	C₇×SD₁₆	—	4	4	no	—
110	C₇×SD₁₆	—	4	4	no	—
111	C₇×D₈	—	4	4	no	—
112	C₇×M₁₆	—	2	2	no	—
113	C₇×M₁₆	—	2	2	no	—
114	C₇×M₁₆	—	2	2	no	—
115	C₇×M₁₆	—	2	2	no	—
116	C₇×M₁₆	—	2	2	no	—
117	C₇×M₁₆	—	2	2	no	—
118	C₇×M₁₆	—	4	4	no	—
119	C₂×C₇×C₈	—	2	2	no	—
120	C₂×C₇×C₈	—	2	2	no	—
121	C₂×C₇×C₈	—	4	4	no	—
122	C₂×C₇×C₈	C₂²×C₄	1	4	yes	—
123	C₇×C₄⋊C₄	—	2	2	no	—
124	C₇×C₄⋊C₄	—	2	2	no	—
125	C₇×C₄⋊C₄	—	4	1	no	—
126	C₇×C₄⋊C₄	—	4	2	no	—
127	C₇×C₂²⋊C₄	—	2	2	no	—
128	C₇×C₂²⋊C₄	—	2	2	no	—
129	C₇×C₂²⋊C₄	—	4	2	no	—
130	C₇×C₂²⋊C₄	—	4	2	no	—
131	C₇×C₂²⋊C₄	—	4	2	no	—
132	C₇×C₂²⋊C₄	—	4	2	no	—
133	C₄²×C₇	—	2	1	no	—
134	C₄²×C₇	—	2	2	no	—
135	C₄²×C₇	—	2	2	no	—
136	C₄²×C₇	—	4	2	no	—
137	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
138	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
139	C₂×#137	C₂²×C₇	1	2	yes	—
140	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	2	yes	—
141	#568	C₂²×C₇	1	2	yes	—
142	#532	C₂²×C₇	1	1	yes	characteristic
143	C₂×#124	C₂²×C₇	1	1	yes	characteristic
144	#519	C₂²×C₇	1	1	yes	characteristic
145	#518	C₂²×C₇	1	1	yes	characteristic
146	#497	C₄×C₇	1	2	yes	complemented
147	#496	C₄×C₇	1	2	yes	complemented
148	#495	C₄×C₇	1	4	yes	complemented
149	#421	C₂²×C₇	1	2	yes	—
150	#421	C₂²×C₇	1	2	yes	—
151	#419	C₂²×C₇	1	2	yes	—
152	#418	C₂²×C₇	1	2	yes	—
153	C₂×#101	C₂²×C₇	1	1	yes	characteristic
154	C₂×#100	C₂²×C₇	1	1	yes	characteristic
155	#410	C₂²×C₇	1	2	yes	—
156	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic
157	#344	C₂²×C₇	1	2	yes	—
158	#344	C₂²×C₇	1	2	yes	—
159	#339	C₂²×C₇	1	2	yes	—
160	#339	C₂²×C₇	1	2	yes	—
161	#338	C₂²×C₇	1	2	yes	—
162	H(3,ℤ/4)	C₂²×C₇	1	2	yes	—
163	C₂³×C₇	—	2	2	no	—
164	C₂³×C₇	—	2	2	no	—
165	C₂³×C₇	—	4	1	no	—
166	C₂³×C₇	—	4	1	no	—
167	C₂³×C₇	—	8	2	no	—
168	C₂³×C₇	H(5,𝔽₂)	1	1	yes	characteristic
169	C₇×Q₈	—	2	2	no	—
170	C₇×Q₈	—	2	4	no	—
171	C₇×Q₈	—	2	2	no	—
172	C₇×Q₈	—	4	2	no	—
173	C₇×D₄	—	2	2	no	—
174	C₇×D₄	—	2	4	no	—
175	C₇×D₄	—	2	2	no	—
176	C₇×D₄	—	4	2	no	—
177	C₇×D₄	—	4	2	no	—
178	C₇×D₄	—	4	2	no	—
179	C₇×D₄	—	8	2	no	—
180	C₂×C₄×C₇	—	2	1	no	—
181	C₂×C₄×C₇	—	2	1	no	—
182	C₂×C₄×C₇	—	2	2	no	—
183	C₂×C₄×C₇	—	2	2	no	—
184	C₂×C₄×C₇	—	4	1	no	—
185	C₂×C₄×C₇	—	4	1	no	—
186	C₂×C₄×C₇	—	4	2	no	—
187	C₂×C₄×C₇	—	4	2	no	—
188	C₂×C₄×C₇	—	4	2	no	—
189	C₂×C₄×C₇	—	4	2	no	—
190	C₂×C₄×C₇	—	8	1	no	—
191	C₂×C₄×C₇	—	16	2	no	—
192	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
193	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
194	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
195	C₂×C₄×C₇	H(5,𝔽₂)	1	1	yes	characteristic
196	C₇×C₈	—	2	4	no	—
197	C₇×C₈	—	4	2	no	—
198	C₇×C₈	—	4	2	no	—
199	C₂×#41	C₂³×C₇	1	2	yes	—
200	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
201	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
202	#137	—	4	2	no	—
203	#137	—	4	2	no	—
204	AGL(1,ℤ/8)	—	4	2	no	—
205	AGL(1,ℤ/8)	—	4	2	no	—
206	C₂×Q₁₆	C₂×C₄×C₇	1	4	yes	complemented
207	C₂×SD₁₆	C₂×C₄×C₇	1	4	yes	—
208	C₂×SD₁₆	C₂×C₄×C₇	1	4	yes	complemented
209	C₂×D₈	C₂×C₄×C₇	1	4	yes	—
210	#131	—	4	2	no	—
211	#131	—	4	2	no	—
212	C₂×M₁₆	—	4	2	no	—
213	C₂×M₁₆	C₂³×C₇	1	2	yes	—
214	C₂×M₁₆	C₂³×C₇	1	2	yes	—
215	C₂×M₁₆	C₂³×C₇	1	2	yes	—
216	C₄⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic, complemented
217	#127	C₂×C₄×C₇	1	1	yes	characteristic, complemented
218	#124	—	4	1	no	—
219	#124	C₂×C₄×C₇	1	2	yes	—
220	#124	C₂×C₄×C₇	1	2	yes	—
221	#124	C₂×C₄×C₇	1	2	yes	complemented
222	#121	—	4	1	no	—
223	C₄×Q₈	—	4	2	no	—
224	C₄×D₄	—	4	2	no	—
225	C₄×D₄	—	4	1	no	—
226	#117	—	4	1	no	—
227	#117	C₂³×C₇	1	2	yes	—
228	#117	C₂³×C₇	1	2	yes	—
229	C₂×C₂²⋊C₄	—	4	1	no	—
230	C₂×C₂²⋊C₄	—	4	1	no	—
231	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
232	#104	—	4	2	no	—
233	#104	—	4	2	no	—
234	#103	—	4	2	no	—
235	#102	—	4	2	no	—
236	#101	—	4	1	no	—
237	#100	—	4	1	no	—
238	#99	—	4	2	no	—
239	#97	C₂×C₄×C₇	1	2	yes	complemented
240	C₄×C₈	C₂×C₄×C₇	1	2	yes	complemented
241	C₂²×C₇	—	4	1	no	—
242	C₂²×C₇	—	4	2	no	—
243	C₂²×C₇	—	4	2	no	—
244	C₂²×C₇	—	8	2	no	—
245	C₂²×C₇	—	8	2	no	—
246	C₂²×C₇	—	8	2	no	—
247	C₂²×C₇	—	16	1	no	—
248	C₂²×C₇	#518	1	1	yes	characteristic
249	C₂²×C₇	#560	1	1	yes	characteristic
250	C₂²×C₇	#560	1	1	yes	characteristic
251	C₄×C₇	—	4	1	no	—
252	C₄×C₇	—	4	1	no	—
253	C₄×C₇	—	4	2	no	—
254	C₄×C₇	—	4	2	no	—
255	C₄×C₇	—	8	2	no	—
256	C₄×C₇	—	8	2	no	—
257	C₄×C₇	#518	1	2	yes	—
258	C₄×C₇	#560	1	2	yes	—
259	C₂⁴	—	2	1	no	—
260	#41	—	2	2	no	—
261	#41	—	2	2	no	—
262	#41	—	2	2	no	—
263	#41	—	2	2	no	—
264	C₂×Q₈	—	2	1	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
268	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
269	C₂×D₄	—	2	2	no	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	—	4	1	no	—
274	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
275	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
276	C₂²×C₄	—	2	1	no	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	4	2	no	—
280	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
281	Q₁₆	—	4	4	no	—
282	SD₁₆	—	4	4	no	—
283	SD₁₆	—	4	4	no	—
284	D₈	—	4	4	no	—
285	M₁₆	—	2	2	no	—
286	M₁₆	—	2	2	no	—
287	M₁₆	—	2	2	no	—
288	M₁₆	—	2	2	no	—
289	M₁₆	—	2	2	no	—
290	M₁₆	—	2	2	no	—
291	M₁₆	—	4	4	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	4	4	no	—
295	C₂×C₈	C₂²×C₄×C₇	1	4	yes	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	2	2	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	—	4	2	no	—
300	C₂²⋊C₄	—	2	2	no	—
301	C₂²⋊C₄	—	2	2	no	—
302	C₂²⋊C₄	—	4	2	no	—
303	C₂²⋊C₄	—	4	2	no	—
304	C₂²⋊C₄	—	4	2	no	—
305	C₂²⋊C₄	—	4	2	no	—
306	C₄²	—	2	1	no	—
307	C₄²	—	2	2	no	—
308	C₄²	—	2	2	no	—
309	C₄²	—	4	2	no	—
310	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
311	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
312	C₂×C₇	—	2	1	no	—
313	C₂×C₇	—	2	1	no	—
314	C₂×C₇	—	2	1	no	—
315	C₂×C₇	—	8	2	no	—
316	C₂×C₇	—	8	2	no	—
317	C₂×C₇	#2380	1	1	yes	characteristic
318	C₂³	—	2	2	no	—
319	C₂³	—	2	2	no	—
320	C₂³	—	4	1	no	—
321	C₂³	—	4	1	no	—
322	C₂³	—	8	2	no	—
323	C₂³	C₇×H(5,𝔽₂)	1	1	yes	characteristic
324	Q₈	—	2	2	no	—
325	Q₈	—	2	4	no	—
326	Q₈	—	2	2	no	—
327	Q₈	—	4	2	no	—
328	D₄	—	2	2	no	—
329	D₄	—	2	4	no	—
330	D₄	—	2	2	no	—
331	D₄	—	4	2	no	—
332	D₄	—	4	2	no	—
333	D₄	—	4	2	no	—
334	D₄	—	8	2	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	4	1	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	8	1	no	—
346	C₂×C₄	—	16	2	no	—
347	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
348	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
349	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
350	C₂×C₄	C₇×H(5,𝔽₂)	1	1	yes	characteristic
351	C₈	—	2	4	no	—
352	C₈	—	4	2	no	—
353	C₈	—	4	2	no	—
354	C₇	#23362	1	1	yes	characteristic, direct product factor, Sylow
355	C₂²	—	4	1	no	—
356	C₂²	—	4	2	no	—
357	C₂²	—	4	2	no	—
358	C₂²	—	8	2	no	—
359	C₂²	—	8	2	no	—
360	C₂²	—	8	2	no	—
361	C₂²	—	16	1	no	—
362	C₂²	C₇×#518	1	1	yes	characteristic
363	C₂²	C₇×#560	1	1	yes	characteristic
364	C₂²	C₇×#560	1	1	yes	characteristic
365	C₄	—	4	1	no	—
366	C₄	—	4	1	no	—
367	C₄	—	4	2	no	—
368	C₄	—	4	2	no	—
369	C₄	—	8	2	no	—
370	C₄	—	8	2	no	—
371	C₄	C₇×#518	1	2	yes	—
372	C₄	C₇×#560	1	2	yes	—
373	C₂	—	2	1	no	—
374	C₂	—	2	1	no	—
375	C₂	—	2	1	no	—
376	C₂	—	8	2	no	—
377	C₂	—	8	2	no	—
378	C₂	C₇×#2380	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₇	#2380
commutator	C₂×C₄	C₂³×C₄×C₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₇
prime radical	C₇×#3153	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₇ ◁ C₂²×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#1905	C₂	semidirect
3. C₇×#1904	C₂	semidirect
4. C₇×#1903	C₂	semidirect
5. C₇×#1902	C₂	semidirect
6. C₇×#1888	C₂	semidirect
7. C₇×#1885	C₂	semidirect
8. C₇×#1884	C₂	semidirect
9. C₇×#1841	C₂	semidirect
17. C₇×#497	C₄	semidirect
18. C₇×#496	C₄	semidirect
19. C₇×#495	C₄	semidirect
34. #23362	C₇	direct (N × H)
42. C₂×C₇×Q₁₆	C₂×C₄	semidirect
44. C₂×C₇×SD₁₆	C₂×C₄	semidirect
52. C₇×C₄⋊Q₈	C₂×C₄	semidirect
53. C₇×#127	C₂×C₄	semidirect
57. C₇×#124	C₂×C₄	semidirect
75. C₇×#97	C₂×C₄	semidirect
76. C₄×C₇×C₈	C₂×C₄	semidirect
78. #1905	C₂×C₇	semidirect
79. #1904	C₂×C₇	semidirect
80. #1903	C₂×C₇	semidirect
81. #1902	C₂×C₇	semidirect
82. #1888	C₂×C₇	semidirect
83. #1885	C₂×C₇	semidirect
84. #1884	C₂×C₇	semidirect
85. #1841	C₂×C₇	semidirect
146. #497	C₄×C₇	semidirect
147. #496	C₄×C₇	semidirect
148. #495	C₄×C₇	semidirect
206. C₂×Q₁₆	C₂×C₄×C₇	semidirect
208. C₂×SD₁₆	C₂×C₄×C₇	semidirect
216. C₄⋊Q₈	C₂×C₄×C₇	semidirect
217. #127	C₂×C₄×C₇	semidirect
221. #124	C₂×C₄×C₇	semidirect
239. #97	C₂×C₄×C₇	semidirect
240. C₄×C₈	C₂×C₄×C₇	semidirect
354. C₇	#23362	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×#3153	2
C₇×#1905	2
C₇×#1904	2
C₇×#1903	2
C₇×#1902	2
C₇×#1888	2
C₇×#1885	2
C₇×#1884	2
C₇×#1841	2
#23362	7

Subgroups — C7×#23362 #13200578

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#23362 #13200578