Subgroups — C₁₃×#33872 #15720211

Order 3328.

568 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3341	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3287	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2240	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2234	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2227	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2215	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2206	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2186	C₂	1	2	yes	maximal, complemented
9	C₄×C₁₃×SD₃₂	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×C₁₃×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2138	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₃×#135	C₂²	1	2	yes	—
13	C₁₃×#555	—	2	1	no	—
14	C₁₃×#550	—	2	1	no	—
15	C₂×C₁₃×SD₃₂	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×D₁₆	C₂²	1	2	yes	—
17	C₂²×C₁₃×C₁₆	C₂²	1	2	yes	—
18	C₁₃×#500	C₂²	1	1	yes	characteristic
19	C₁₃×#493	C₂²	1	1	yes	characteristic
20	C₁₃×#482	—	2	2	no	—
21	C₁₃×#476	—	2	1	no	—
22	C₁₃×#466	C₂²	1	2	yes	—
23	C₁₃×#466	C₂²	1	2	yes	—
24	C₁₃×#460	—	2	1	no	—
25	C₁₃×#449	—	2	2	no	—
26	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
27	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
28	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
29	C₁₃×#427	C₂²	1	2	yes	—
30	C₁₃×#367	C₂²	1	1	yes	characteristic
31	C₁₃×#366	C₂²	1	2	yes	—
32	C₁₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
33	C₁₃×#358	C₂²	1	1	yes	characteristic
34	C₁₃×#358	C₂²	1	2	yes	—
35	C₁₃×#357	C₂²	1	2	yes	—
36	C₁₃×#357	C₂²	1	2	yes	—
37	C₁₃×#357	C₂²	1	2	yes	—
38	C₁₃×#357	C₂²	1	1	yes	characteristic
39	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
40	C₄×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#41	—	2	2	no	—
42	C₁₃×#135	—	2	4	no	—
43	C₁₃×#135	—	4	2	no	—
44	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
45	C₂×C₁₃×SD₁₆	—	2	2	no	—
46	C₂×C₁₃×D₈	—	2	1	no	—
47	C₂×C₁₃×D₈	C₂³	1	2	yes	—
48	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
49	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
50	C₁₃×C₄⋊Q₈	—	2	1	no	—
51	C₁₃×#127	—	2	1	no	—
52	C₁₃×#127	—	4	1	no	—
53	C₁₃×#124	—	4	2	no	—
54	C₁₃×#121	—	2	2	no	—
55	C₁₃×#121	—	2	2	no	—
56	C₁₃×#121	—	4	1	no	—
57	C₁₃×#121	—	4	2	no	—
58	C₄×Q₈×C₁₃	—	2	1	no	—
59	C₄×D₄×C₁₃	—	2	1	no	—
60	C₄×D₄×C₁₃	—	4	1	no	—
61	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
62	C₁₃×#117	—	2	2	no	—
63	C₁₃×#117	—	4	1	no	—
64	C₁₃×SD₃₂	—	2	2	no	—
65	C₁₃×D₁₆	—	4	2	no	—
66	C₂×C₁₃×C₁₆	—	4	2	no	—
67	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
68	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
69	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
70	C₁₃×#107	—	2	1	no	—
71	C₁₃×#107	C₂³	1	1	yes	characteristic
72	C₁₃×#107	C₂³	1	2	yes	—
73	C₁₃×#107	C₂³	1	1	yes	characteristic
74	C₁₃×#106	—	2	2	no	—
75	C₁₃×C₄⋊C₈	D₄	1	1	yes	characteristic
76	C₁₃×#103	—	2	1	no	—
77	C₁₃×#102	—	2	1	no	—
78	C₁₃×#102	—	2	2	no	—
79	C₁₃×#102	—	2	2	no	—
80	C₁₃×C₂²⋊C₈	D₄	1	2	yes	—
81	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
82	#33872	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
83	C₁₃×#41	—	4	4	no	—
84	C₁₃×#41	—	8	2	no	—
85	C₂×Q₈×C₁₃	—	2	1	no	—
86	C₂×Q₈×C₁₃	—	4	1	no	—
87	C₂×D₄×C₁₃	—	2	1	no	—
88	C₂×D₄×C₁₃	—	2	2	no	—
89	C₂×D₄×C₁₃	—	4	2	no	—
90	C₂×D₄×C₁₃	—	4	2	no	—
91	C₂×D₄×C₁₃	—	4	2	no	—
92	C₂×D₄×C₁₃	—	4	1	no	—
93	C₂×D₄×C₁₃	—	4	1	no	—
94	C₂×D₄×C₁₃	D₈	1	1	yes	characteristic
95	C₂²×C₄×C₁₃	—	4	1	no	—
96	C₂²×C₄×C₁₃	—	4	2	no	—
97	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
98	C₁₃×Q₁₆	—	2	1	no	—
99	C₁₃×Q₁₆	#41	1	2	yes	—
100	C₁₃×SD₁₆	—	4	4	no	—
101	C₁₃×D₈	—	2	1	no	—
102	C₁₃×D₈	—	2	2	no	—
103	C₁₃×D₈	—	2	1	no	—
104	C₁₃×D₈	—	2	2	no	—
105	C₁₃×D₈	—	8	1	no	—
106	C₂×C₈×C₁₃	—	2	2	no	—
107	C₂×C₈×C₁₃	—	2	2	no	—
108	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
110	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
111	C₁₃×C₄⋊C₄	—	2	1	no	—
112	C₁₃×C₄⋊C₄	—	2	1	no	—
113	C₁₃×C₄⋊C₄	—	2	2	no	—
114	C₁₃×C₄⋊C₄	—	4	1	no	—
115	C₁₃×C₄⋊C₄	—	4	1	no	—
116	C₁₃×C₄⋊C₄	D₈	1	1	yes	characteristic
117	C₁₃×C₂²⋊C₄	—	4	2	no	—
118	C₁₃×C₂²⋊C₄	—	4	2	no	—
119	C₁₃×C₂²⋊C₄	—	4	1	no	—
120	C₁₃×C₂²⋊C₄	—	4	2	no	—
121	C₁₃×C₂²⋊C₄	D₈	1	2	yes	—
122	C₄²×C₁₃	—	4	2	no	—
123	C₄²×C₁₃	—	4	1	no	—
124	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
125	C₁₃×C₁₆	—	2	1	no	—
126	C₁₃×C₁₆	—	2	1	no	—
127	C₁₃×C₁₆	—	2	2	no	—
128	#3341	C₂×C₁₃	1	1	yes	characteristic, complemented
129	#3287	C₂×C₁₃	1	1	yes	characteristic, complemented
130	#2240	C₂×C₁₃	1	1	yes	characteristic, complemented
131	#2234	C₂×C₁₃	1	2	yes	complemented
132	#2227	C₂×C₁₃	1	1	yes	characteristic, complemented
133	#2215	C₂×C₁₃	1	2	yes	complemented
134	#2206	C₂×C₁₃	1	1	yes	characteristic, complemented
135	#2186	C₂×C₁₃	1	2	yes	complemented
136	C₄×SD₃₂	C₂×C₁₃	1	1	yes	characteristic, complemented
137	D₄×C₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
138	#2138	C₂×C₁₃	1	2	yes	complemented
139	C₂³×C₁₃	—	4	1	no	—
140	C₂³×C₁₃	—	4	2	no	—
141	C₂³×C₁₃	C₂×D₈	1	2	yes	—
142	Q₈×C₁₃	—	2	2	no	—
143	Q₈×C₁₃	—	4	1	no	—
144	Q₈×C₁₃	—	16	1	no	—
145	D₄×C₁₃	—	2	2	no	—
146	D₄×C₁₃	—	4	2	no	—
147	D₄×C₁₃	—	4	1	no	—
148	D₄×C₁₃	—	4	2	no	—
149	D₄×C₁₃	—	4	1	no	—
150	D₄×C₁₃	—	8	4	no	—
151	D₄×C₁₃	—	8	2	no	—
152	D₄×C₁₃	—	16	1	no	—
153	D₄×C₁₃	—	16	2	no	—
154	D₄×C₁₃	—	16	2	no	—
155	C₂×C₄×C₁₃	—	2	2	no	—
156	C₂×C₄×C₁₃	—	2	2	no	—
157	C₂×C₄×C₁₃	—	4	1	no	—
158	C₂×C₄×C₁₃	—	4	1	no	—
159	C₂×C₄×C₁₃	—	4	1	no	—
160	C₂×C₄×C₁₃	—	4	2	no	—
161	C₂×C₄×C₁₃	—	8	4	no	—
162	C₂×C₄×C₁₃	—	8	2	no	—
163	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
164	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
165	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
166	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
167	C₈×C₁₃	—	2	2	no	—
168	C₈×C₁₃	—	2	1	no	—
169	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
170	C₈×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
171	C₂×#135	C₂²×C₁₃	1	2	yes	—
172	#555	—	2	1	no	—
173	#550	—	2	1	no	—
174	C₂×SD₃₂	C₂²×C₁₃	1	1	yes	characteristic
175	C₂×D₁₆	C₂²×C₁₃	1	2	yes	—
176	C₂²×C₁₆	C₂²×C₁₃	1	2	yes	—
177	#500	C₂²×C₁₃	1	1	yes	characteristic
178	#493	C₂²×C₁₃	1	1	yes	characteristic
179	#482	—	2	2	no	—
180	#476	—	2	1	no	—
181	#466	C₂²×C₁₃	1	2	yes	—
182	#466	C₂²×C₁₃	1	2	yes	—
183	#460	—	2	1	no	—
184	#449	—	2	2	no	—
185	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
186	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
187	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
188	#427	C₂²×C₁₃	1	2	yes	—
189	#367	C₂²×C₁₃	1	1	yes	characteristic
190	#366	C₂²×C₁₃	1	2	yes	—
191	C₄⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
192	#358	C₂²×C₁₃	1	1	yes	characteristic
193	#358	C₂²×C₁₃	1	2	yes	—
194	#357	C₂²×C₁₃	1	2	yes	—
195	#357	C₂²×C₁₃	1	2	yes	—
196	#357	C₂²×C₁₃	1	1	yes	characteristic
197	#357	C₂²×C₁₃	1	2	yes	—
198	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
199	C₄×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
200	C₂²×C₁₃	—	2	2	no	—
201	C₂²×C₁₃	—	2	2	no	—
202	C₂²×C₁₃	—	2	2	no	—
203	C₂²×C₁₃	—	8	1	no	—
204	C₂²×C₁₃	—	8	2	no	—
205	C₂²×C₁₃	—	8	2	no	—
206	C₂²×C₁₃	—	8	1	no	—
207	C₂²×C₁₃	—	8	2	no	—
208	C₂²×C₁₃	—	8	1	no	—
209	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
210	C₄×C₁₃	—	2	1	no	—
211	C₄×C₁₃	—	2	2	no	—
212	C₄×C₁₃	—	4	2	no	—
213	C₄×C₁₃	—	8	1	no	—
214	C₄×C₁₃	—	8	1	no	—
215	C₄×C₁₃	—	8	2	no	—
216	C₄×C₁₃	#508	1	2	yes	—
217	C₄×C₁₃	#546	1	1	yes	characteristic
218	C₄×C₁₃	#577	1	1	yes	characteristic
219	C₂×#41	—	2	2	no	—
220	#135	—	2	4	no	—
221	#135	—	4	2	no	—
222	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
223	C₂×SD₁₆	—	2	2	no	—
224	C₂×D₈	—	2	1	no	—
225	C₂×D₈	C₂³×C₁₃	1	2	yes	—
226	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
227	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
228	C₄⋊Q₈	—	2	1	no	—
229	#127	—	2	1	no	—
230	#127	—	4	1	no	—
231	#124	—	4	2	no	—
232	#121	—	2	2	no	—
233	#121	—	2	2	no	—
234	#121	—	4	1	no	—
235	#121	—	4	2	no	—
236	C₄×Q₈	—	2	1	no	—
237	C₄×D₄	—	2	1	no	—
238	C₄×D₄	—	4	1	no	—
239	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
240	#117	—	2	2	no	—
241	#117	—	4	1	no	—
242	SD₃₂	—	2	2	no	—
243	D₁₆	—	4	2	no	—
244	C₂×C₁₆	—	4	2	no	—
245	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
246	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
247	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
248	#107	—	2	1	no	—
249	#107	C₂³×C₁₃	1	2	yes	—
250	#107	C₂³×C₁₃	1	1	yes	characteristic
251	#107	C₂³×C₁₃	1	1	yes	characteristic
252	#106	—	2	2	no	—
253	C₄⋊C₈	D₄×C₁₃	1	1	yes	characteristic
254	#103	—	2	1	no	—
255	#102	—	2	1	no	—
256	#102	—	2	2	no	—
257	#102	—	2	2	no	—
258	C₂²⋊C₈	D₄×C₁₃	1	2	yes	—
259	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
260	C₂×C₁₃	—	4	2	no	—
261	C₂×C₁₃	—	16	1	no	—
262	C₂×C₁₃	—	16	2	no	—
263	C₂×C₁₃	#3294	1	1	yes	characteristic
264	C₂×C₁₃	C₂×#508	1	1	yes	characteristic
265	C₂×C₁₃	#3415	1	1	yes	characteristic
266	#41	—	4	4	no	—
267	#41	—	8	2	no	—
268	C₂×Q₈	—	2	1	no	—
269	C₂×Q₈	—	4	1	no	—
270	C₂×D₄	—	2	1	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	4	2	no	—
273	C₂×D₄	—	4	2	no	—
274	C₂×D₄	—	4	2	no	—
275	C₂×D₄	—	4	1	no	—
276	C₂×D₄	—	4	1	no	—
277	C₂×D₄	C₁₃×D₈	1	1	yes	characteristic
278	C₂²×C₄	—	4	1	no	—
279	C₂²×C₄	—	4	2	no	—
280	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
281	Q₁₆	—	2	1	no	—
282	Q₁₆	C₁₃×#41	1	2	yes	—
283	SD₁₆	—	4	4	no	—
284	D₈	—	2	1	no	—
285	D₈	—	2	2	no	—
286	D₈	—	2	1	no	—
287	D₈	—	2	2	no	—
288	D₈	—	8	1	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
292	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
293	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
294	C₄⋊C₄	—	2	1	no	—
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	C₁₃×D₈	1	1	yes	characteristic
300	C₂²⋊C₄	—	4	2	no	—
301	C₂²⋊C₄	—	4	2	no	—
302	C₂²⋊C₄	—	4	1	no	—
303	C₂²⋊C₄	—	4	2	no	—
304	C₂²⋊C₄	C₁₃×D₈	1	2	yes	—
305	C₄²	—	4	2	no	—
306	C₄²	—	4	1	no	—
307	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
308	C₁₆	—	2	1	no	—
309	C₁₆	—	2	1	no	—
310	C₁₆	—	2	2	no	—
311	C₁₃	#33872	1	1	yes	characteristic, direct product factor, Sylow
312	C₂³	—	4	1	no	—
313	C₂³	—	4	2	no	—
314	C₂³	C₂×C₁₃×D₈	1	2	yes	—
315	Q₈	—	2	2	no	—
316	Q₈	—	4	1	no	—
317	Q₈	—	16	1	no	—
318	D₄	—	2	2	no	—
319	D₄	—	4	2	no	—
320	D₄	—	4	1	no	—
321	D₄	—	4	2	no	—
322	D₄	—	4	1	no	—
323	D₄	—	8	4	no	—
324	D₄	—	8	2	no	—
325	D₄	—	16	1	no	—
326	D₄	—	16	2	no	—
327	D₄	—	16	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	8	4	no	—
335	C₂×C₄	—	8	2	no	—
336	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
337	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
338	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
339	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
340	C₈	—	2	2	no	—
341	C₈	—	2	1	no	—
342	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
343	C₈	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
344	C₂²	—	2	2	no	—
345	C₂²	—	2	2	no	—
346	C₂²	—	2	2	no	—
347	C₂²	—	8	2	no	—
348	C₂²	—	8	1	no	—
349	C₂²	—	8	1	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	8	2	no	—
352	C₂²	—	8	1	no	—
353	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
354	C₄	—	2	2	no	—
355	C₄	—	2	1	no	—
356	C₄	—	4	2	no	—
357	C₄	—	8	1	no	—
358	C₄	—	8	1	no	—
359	C₄	—	8	2	no	—
360	C₄	C₁₃×#508	1	2	yes	—
361	C₄	C₁₃×#546	1	1	yes	characteristic
362	C₄	C₁₃×#577	1	1	yes	characteristic
363	C₂	—	4	2	no	—
364	C₂	—	16	2	no	—
365	C₂	—	16	1	no	—
366	C₂	C₁₃×#3294	1	1	yes	characteristic
367	C₂	C₂×C₁₃×#508	1	1	yes	characteristic
368	C₂	C₁₃×#3415	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×D₄×C₁₃ ◁ C₈×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3341	C₂	semidirect
2. C₁₃×#3287	C₂	semidirect
3. C₁₃×#2240	C₂	semidirect
4. C₁₃×#2234	C₂	semidirect
5. C₁₃×#2227	C₂	semidirect
6. C₁₃×#2215	C₂	semidirect
7. C₁₃×#2206	C₂	semidirect
8. C₁₃×#2186	C₂	semidirect
9. C₄×C₁₃×SD₃₂	C₂	semidirect
10. D₄×C₁₃×C₁₆	C₂	semidirect
11. C₁₃×#2138	C₂	semidirect
82. #33872	C₁₃	direct (N × H)
128. #3341	C₂×C₁₃	semidirect
129. #3287	C₂×C₁₃	semidirect
130. #2240	C₂×C₁₃	semidirect
131. #2234	C₂×C₁₃	semidirect
132. #2227	C₂×C₁₃	semidirect
133. #2215	C₂×C₁₃	semidirect
134. #2206	C₂×C₁₃	semidirect
135. #2186	C₂×C₁₃	semidirect
136. C₄×SD₃₂	C₂×C₁₃	semidirect
137. D₄×C₁₆	C₂×C₁₃	semidirect
138. #2138	C₂×C₁₃	semidirect
311. C₁₃	#33872	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3341	2
C₁₃×#3287	2
C₁₃×#2240	2
C₁₃×#2234	2
C₁₃×#2227	2
C₁₃×#2215	2
C₁₃×#2206	2
C₁₃×#2186	2
C₄×C₁₃×SD₃₂	2
D₄×C₁₃×C₁₆	2
C₁₃×#2138	2
#33872	13

Subgroups — C13×#33872 #15720211

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33872 #15720211