Subgroups — C₁₃×#33479 #15719818

Order 3328.

558 conjugacy classes of subgroups.

The subgroup lattice has 306 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈×C₁₃×#41	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2183	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2169	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2168	C₂	1	4	yes	maximal, complemented
5	C₁₃×#2162	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2162	C₂	1	2	yes	maximal, complemented
7	C₄×C₁₃×M₃₂	C₂	1	2	yes	maximal, complemented
8	C₂×C₄×C₁₃×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×C₁₃×#41	C₄	1	1	yes	characteristic
10	C₂×C₁₃×M₃₂	C₂²	1	4	yes	—
11	C₂²×C₁₃×C₁₆	C₂²	1	2	yes	—
12	C₈×Q₈×C₁₃	C₄	1	1	yes	characteristic
13	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
14	C₈×D₄×C₁₃	C₄	1	1	yes	characteristic
15	C₈×D₄×C₁₃	C₄	1	2	yes	—
16	C₈×D₄×C₁₃	C₂²	1	2	yes	—
17	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
18	C₁₃×#431	C₄	1	2	yes	—
19	C₁₃×#431	C₄	1	1	yes	characteristic
20	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₈×C₁₃	C₂²	1	2	yes	—
22	C₁₃×C₄⋊C₁₆	C₂²	1	4	yes	—
23	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
24	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
25	C₁₃×C₂²⋊C₁₆	C₂²	1	4	yes	—
26	C₁₃×#346	C₂²	1	4	yes	—
27	C₄×C₁₃×C₁₆	C₂²	1	2	yes	—
28	C₄×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
29	C₄×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
30	C₄×C₁₃×C₁₆	C₂²	1	2	yes	—
31	C₂×C₁₃×#41	C₈	1	1	yes	characteristic
32	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₈×C₁₃	C₂×C₄	1	2	yes	—
34	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
35	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
36	C₄×Q₈×C₁₃	C₈	1	1	yes	characteristic
37	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
38	C₄×D₄×C₁₃	C₈	1	2	yes	—
39	C₄×D₄×C₁₃	C₈	1	1	yes	characteristic
40	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
41	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
42	C₁₃×#117	C₈	1	2	yes	—
43	C₁₃×#117	C₈	1	1	yes	characteristic
44	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
45	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
46	C₁₃×M₃₂	—	2	8	no	—
47	C₂×C₁₃×C₁₆	—	2	4	no	—
48	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
49	C₂×C₁₃×C₁₆	C₂³	1	4	yes	—
50	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
51	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
52	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
53	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
54	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
55	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
56	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
57	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
58	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
59	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	—
60	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
61	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	—
62	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
63	C₄×C₈×C₁₃	C₂³	1	2	yes	—
64	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
65	#33479	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
66	C₁₃×#41	—	2	4	no	—
67	C₂×Q₈×C₁₃	C₂×C₈	1	1	yes	characteristic
68	C₂×D₄×C₁₃	C₂×C₈	1	2	yes	—
69	C₂×D₄×C₁₃	C₂×C₈	1	1	yes	characteristic
70	C₂²×C₄×C₁₃	C₂×C₈	1	2	yes	—
71	C₂²×C₄×C₁₃	C₂×C₈	1	2	yes	—
72	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
73	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
75	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
76	C₂×C₈×C₁₃	—	2	2	no	—
77	C₂×C₈×C₁₃	—	2	4	no	—
78	C₂×C₈×C₁₃	—	2	2	no	—
79	C₂×C₈×C₁₃	—	2	4	no	—
80	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
81	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
82	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
83	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
84	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
85	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
86	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
87	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
88	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
89	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
90	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
91	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
92	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
93	C₄²×C₁₃	C₂×C₈	1	2	yes	—
94	C₄²×C₁₃	C₂×C₈	1	1	yes	characteristic
95	C₄²×C₁₃	C₂×C₈	1	2	yes	—
96	C₄²×C₁₃	C₂×C₈	1	1	yes	characteristic
97	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
98	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
99	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
100	C₁₃×C₁₆	—	2	2	no	—
101	C₁₃×C₁₆	—	2	4	no	—
102	C₁₃×C₁₆	#41	1	4	yes	complemented
103	C₈×#41	C₂×C₁₃	1	1	yes	characteristic
104	#2183	C₂×C₁₃	1	2	yes	complemented
105	#2169	C₂×C₁₃	1	2	yes	complemented
106	#2168	C₂×C₁₃	1	4	yes	complemented
107	#2162	C₂×C₁₃	1	2	yes	complemented
108	#2162	C₂×C₁₃	1	1	yes	characteristic, complemented
109	C₄×M₃₂	C₂×C₁₃	1	2	yes	complemented
110	C₂×C₄×C₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
111	C₂³×C₁₃	C₂²×C₈	1	2	yes	—
112	C₂³×C₁₃	C₂²×C₈	1	1	yes	characteristic
113	Q₈×C₁₃	—	2	2	no	—
114	D₄×C₁₃	—	2	4	no	—
115	D₄×C₁₃	—	2	2	no	—
116	C₂×C₄×C₁₃	—	2	1	no	—
117	C₂×C₄×C₁₃	—	2	2	no	—
118	C₂×C₄×C₁₃	—	2	1	no	—
119	C₂×C₄×C₁₃	—	2	2	no	—
120	C₂×C₄×C₁₃	—	2	4	no	—
121	C₂×C₄×C₁₃	—	2	2	no	—
122	C₂×C₄×C₁₃	—	2	4	no	—
123	C₂×C₄×C₁₃	M₃₂	1	4	yes	complemented
124	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
125	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
126	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
127	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
128	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
129	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
130	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
131	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
132	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
133	C₈×C₁₃	—	2	1	no	—
134	C₈×C₁₃	—	2	2	no	—
135	C₈×C₁₃	—	2	1	no	—
136	C₈×C₁₃	—	2	2	no	—
137	C₈×C₁₃	#131	1	2	yes	—
138	C₈×C₁₃	C₂×#41	1	2	yes	—
139	C₄×#41	C₄×C₁₃	1	1	yes	characteristic
140	C₂×M₃₂	C₂²×C₁₃	1	4	yes	—
141	C₂²×C₁₆	C₂²×C₁₃	1	2	yes	—
142	C₈×Q₈	C₄×C₁₃	1	1	yes	characteristic
143	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
144	C₈×D₄	C₄×C₁₃	1	1	yes	characteristic
145	C₈×D₄	C₄×C₁₃	1	2	yes	—
146	C₈×D₄	C₂²×C₁₃	1	2	yes	—
147	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
148	#431	C₄×C₁₃	1	2	yes	—
149	#431	C₄×C₁₃	1	1	yes	characteristic
150	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
151	C₂×C₄×C₈	C₂²×C₁₃	1	2	yes	—
152	C₄⋊C₁₆	C₂²×C₁₃	1	4	yes	—
153	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
154	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
155	C₂²⋊C₁₆	C₂²×C₁₃	1	4	yes	—
156	#346	C₂²×C₁₃	1	4	yes	—
157	C₄×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
158	C₄×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
159	C₄×C₁₆	C₂²×C₁₃	1	2	yes	—
160	C₄×C₁₆	C₂²×C₁₃	1	2	yes	—
161	C₂²×C₁₃	—	2	1	no	—
162	C₂²×C₁₃	—	2	1	no	—
163	C₂²×C₁₃	—	2	2	no	—
164	C₂²×C₁₃	—	2	2	no	—
165	C₂²×C₁₃	—	2	2	no	—
166	C₂²×C₁₃	C₂×M₃₂	1	2	yes	—
167	C₂²×C₁₃	C₂³×C₈	1	1	yes	characteristic
168	C₄×C₁₃	—	2	2	no	—
169	C₄×C₁₃	—	2	1	no	—
170	C₄×C₁₃	—	2	2	no	—
171	C₄×C₁₃	—	2	1	no	—
172	C₄×C₁₃	—	2	2	no	—
173	C₄×C₁₃	C₂×M₃₂	1	2	yes	—
174	C₄×C₁₃	C₂×M₃₂	1	2	yes	—
175	C₄×C₁₃	#504	1	2	yes	—
176	C₄×C₁₃	C₄×#41	1	1	yes	characteristic
177	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
178	C₂×#41	C₈×C₁₃	1	1	yes	characteristic
179	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
180	C₂²×C₈	C₂×C₄×C₁₃	1	2	yes	—
181	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
182	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
183	C₄×Q₈	C₈×C₁₃	1	1	yes	characteristic
184	C₄×Q₈	C₂×C₄×C₁₃	1	1	yes	characteristic
185	C₄×D₄	C₈×C₁₃	1	2	yes	—
186	C₄×D₄	C₈×C₁₃	1	1	yes	characteristic
187	C₄×D₄	C₂×C₄×C₁₃	1	2	yes	—
188	C₄×D₄	C₂×C₄×C₁₃	1	1	yes	characteristic
189	#117	C₈×C₁₃	1	2	yes	—
190	#117	C₈×C₁₃	1	1	yes	characteristic
191	C₂×C₄²	C₂×C₄×C₁₃	1	2	yes	—
192	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
193	M₃₂	—	2	8	no	—
194	C₂×C₁₆	—	2	4	no	—
195	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
196	C₂×C₁₆	C₂³×C₁₃	1	4	yes	—
197	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
198	C₄⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
199	C₄⋊C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
200	C₄⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
201	C₄⋊C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
202	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
203	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
204	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
205	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
206	C₄×C₈	C₂×C₄×C₁₃	1	2	yes	—
207	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
208	C₄×C₈	C₂×C₄×C₁₃	1	2	yes	—
209	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
210	C₄×C₈	C₂³×C₁₃	1	2	yes	—
211	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
212	C₂×C₁₃	—	2	2	no	—
213	C₂×C₁₃	—	4	2	no	—
214	C₂×C₁₃	C₈×#41	1	1	yes	characteristic
215	C₂×C₁₃	C₂²×M₃₂	1	1	yes	characteristic
216	C₂×C₁₃	C₂×#504	1	1	yes	characteristic
217	#41	—	2	4	no	—
218	C₂×Q₈	C₂×C₈×C₁₃	1	1	yes	characteristic
219	C₂×D₄	C₂×C₈×C₁₃	1	2	yes	—
220	C₂×D₄	C₂×C₈×C₁₃	1	1	yes	characteristic
221	C₂²×C₄	C₂×C₈×C₁₃	1	2	yes	—
222	C₂²×C₄	C₂×C₈×C₁₃	1	2	yes	—
223	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
224	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
225	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
226	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
227	C₂×C₈	—	2	2	no	—
228	C₂×C₈	—	2	4	no	—
229	C₂×C₈	—	2	2	no	—
230	C₂×C₈	—	2	4	no	—
231	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
232	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
233	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
234	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
235	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
236	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
237	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
238	C₄⋊C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
239	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
240	C₄⋊C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
241	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
242	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
243	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
244	C₄²	C₂×C₈×C₁₃	1	2	yes	—
245	C₄²	C₂×C₈×C₁₃	1	1	yes	characteristic
246	C₄²	C₂×C₈×C₁₃	1	2	yes	—
247	C₄²	C₂×C₈×C₁₃	1	1	yes	characteristic
248	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
249	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
250	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
251	C₁₆	—	2	2	no	—
252	C₁₆	—	2	4	no	—
253	C₁₆	C₁₃×#41	1	4	yes	complemented
254	C₁₃	#33479	1	1	yes	characteristic, direct product factor, Sylow
255	C₂³	C₂²×C₈×C₁₃	1	2	yes	—
256	C₂³	C₂²×C₈×C₁₃	1	1	yes	characteristic
257	Q₈	—	2	2	no	—
258	D₄	—	2	4	no	—
259	D₄	—	2	2	no	—
260	C₂×C₄	—	2	4	no	—
261	C₂×C₄	—	2	2	no	—
262	C₂×C₄	—	2	4	no	—
263	C₂×C₄	—	2	1	no	—
264	C₂×C₄	—	2	2	no	—
265	C₂×C₄	—	2	1	no	—
266	C₂×C₄	—	2	2	no	—
267	C₂×C₄	C₁₃×M₃₂	1	4	yes	complemented
268	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
269	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
270	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
271	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
272	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
273	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
274	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
275	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
276	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
277	C₈	—	2	1	no	—
278	C₈	—	2	2	no	—
279	C₈	—	2	1	no	—
280	C₈	—	2	2	no	—
281	C₈	C₁₃×#131	1	2	yes	—
282	C₈	C₂×C₁₃×#41	1	2	yes	—
283	C₂²	—	2	1	no	—
284	C₂²	—	2	1	no	—
285	C₂²	—	2	2	no	—
286	C₂²	—	2	2	no	—
287	C₂²	—	2	2	no	—
288	C₂²	C₂×C₁₃×M₃₂	1	2	yes	—
289	C₂²	C₂³×C₈×C₁₃	1	1	yes	characteristic
290	C₄	—	2	2	no	—
291	C₄	—	2	1	no	—
292	C₄	—	2	2	no	—
293	C₄	—	2	1	no	—
294	C₄	—	2	2	no	—
295	C₄	C₂×C₁₃×M₃₂	1	2	yes	—
296	C₄	C₂×C₁₃×M₃₂	1	2	yes	—
297	C₄	C₁₃×#504	1	2	yes	—
298	C₄	C₄×C₁₃×#41	1	1	yes	characteristic
299	C₄	C₂×C₁₃×#131	1	1	yes	characteristic
300	C₂	—	2	2	no	—
301	C₂	—	4	2	no	—
302	C₂	C₈×C₁₃×#41	1	1	yes	characteristic
303	C₂	C₂²×C₁₃×M₃₂	1	1	yes	characteristic
304	C₂	C₂×C₁₃×#504	1	1	yes	characteristic

	subgroup	G/H
center	C₄×C₈×C₁₃	C₂³
commutator	C₂²	C₂³×C₈×C₁₃
Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
socle	C₂²×C₁₃	C₂³×C₈
prime radical	C₂×C₁₃×#41	C₈
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₄×C₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2183	C₂	semidirect
3. C₁₃×#2169	C₂	semidirect
4. C₁₃×#2168	C₂	semidirect
5. C₁₃×#2162	C₂	semidirect
6. C₁₃×#2162	C₂	semidirect
7. C₄×C₁₃×M₃₂	C₂	semidirect
8. C₂×C₄×C₁₃×C₁₆	C₂	semidirect
65. #33479	C₁₃	direct (N × H)
102. C₁₃×C₁₆	#41	semidirect
104. #2183	C₂×C₁₃	semidirect
105. #2169	C₂×C₁₃	semidirect
106. #2168	C₂×C₁₃	semidirect
107. #2162	C₂×C₁₃	semidirect
108. #2162	C₂×C₁₃	semidirect
109. C₄×M₃₂	C₂×C₁₃	semidirect
110. C₂×C₄×C₁₆	C₂×C₁₃	semidirect
123. C₂×C₄×C₁₃	M₃₂	semidirect
253. C₁₆	C₁₃×#41	semidirect
254. C₁₃	#33479	direct (N × H)
267. C₂×C₄	C₁₃×M₃₂	semidirect

Maximal subgroups

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

subgroup	index
C₈×C₁₃×#41	2
C₁₃×#2183	2
C₁₃×#2169	2
C₁₃×#2168	2
C₁₃×#2162	2
C₄×C₁₃×M₃₂	2
C₂×C₄×C₁₃×C₁₆	2
#33479	13

Subgroups — C13×#33479 #15719818

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33479 #15719818