Subgroups — C₅×#12985 #11935705

Order 1280.

510 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×M₃₂	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅×#435	C₂	1	1	yes	maximal, characteristic
3	C₂×C₅×#349	C₂	1	2	yes	maximal, complemented
4	C₅×#2112	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#1377	C₂	1	2	yes	maximal, complemented
6	C₂²×C₅×M₁₆	C₂²	1	1	yes	characteristic
7	C₂³×C₅×C₈	C₂²	1	1	yes	characteristic
8	C₂×C₄×C₅×D₄	C₄	1	1	yes	characteristic
9	C₂×C₅×M₃₂	—	2	4	no	—
10	C₂×C₅×M₃₂	—	2	1	no	—
11	C₂×C₅×M₃₂	C₂²	1	2	yes	—
12	C₂×C₅×M₃₂	C₂²	1	2	yes	—
13	C₂²×C₅×C₁₆	—	2	1	no	—
14	C₅×#435	—	2	1	no	—
15	C₅×#435	—	2	1	no	—
16	C₅×#435	—	2	1	no	—
17	C₅×#435	—	2	1	no	—
18	C₂×C₅×C₄⋊C₈	C₄	1	1	yes	characteristic
19	C₂×C₅×C₂²⋊C₈	C₄	1	1	yes	characteristic
20	C₂×C₅×C₂²⋊C₈	C₄	1	1	yes	characteristic
21	C₂×C₅×#97	C₂²	1	1	yes	characteristic
22	C₅×#349	—	2	4	no	—
23	C₅×C₂²⋊C₁₆	—	2	1	no	—
24	C₅×C₂²⋊C₁₆	—	2	1	no	—
25	#12985	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
26	C₂²×C₅×D₄	C₈	1	1	yes	characteristic
27	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
28	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
29	C₂×C₅×M₁₆	—	2	2	no	—
30	C₂×C₅×M₁₆	—	2	1	no	—
31	C₂×C₅×M₁₆	—	2	1	no	—
32	C₂×C₅×M₁₆	—	2	2	no	—
33	C₂²×C₅×C₈	—	2	2	no	—
34	C₂²×C₅×C₈	—	2	2	no	—
35	C₂²×C₅×C₈	C₂×C₄	1	1	yes	characteristic
36	C₂²×C₅×C₈	C₂×C₄	1	1	yes	characteristic
37	C₂²×C₅×C₈	C₂×C₄	1	1	yes	characteristic
38	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
39	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
40	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
41	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
42	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
43	C₄×C₅×D₄	—	2	1	no	—
44	C₄×C₅×D₄	—	2	1	no	—
45	C₄×C₅×D₄	—	2	1	no	—
46	C₄×C₅×D₄	—	2	1	no	—
47	C₂×C₅×C₄⋊C₄	C₈	1	1	yes	characteristic
48	C₂×C₅×C₂²⋊C₄	C₈	1	1	yes	characteristic
49	C₂×C₅×C₂²⋊C₄	C₈	1	1	yes	characteristic
50	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
51	C₅×M₃₂	—	2	4	no	—
52	C₅×M₃₂	—	2	2	no	—
53	C₅×M₃₂	—	2	2	no	—
54	C₅×M₃₂	—	2	2	no	—
55	C₅×M₃₂	D₄	1	4	yes	complemented
56	C₂×C₅×C₁₆	—	2	4	no	—
57	C₂×C₅×C₁₆	—	2	2	no	—
58	C₂×C₅×C₁₆	—	2	2	no	—
59	C₅×C₄⋊C₈	—	2	1	no	—
60	C₅×C₄⋊C₈	—	2	1	no	—
61	C₅×C₂²⋊C₈	—	2	1	no	—
62	C₅×C₂²⋊C₈	—	2	1	no	—
63	C₅×C₂²⋊C₈	—	2	1	no	—
64	C₅×C₂²⋊C₈	—	2	1	no	—
65	C₅×#97	—	2	1	no	—
66	C₅×#97	—	2	1	no	—
67	C₂²×M₃₂	C₂×C₅	1	1	yes	characteristic, complemented
68	C₂×#435	C₂×C₅	1	1	yes	characteristic
69	C₂×#349	C₂×C₅	1	2	yes	complemented
70	#2112	C₂×C₅	1	1	yes	characteristic, complemented
71	#1377	C₂×C₅	1	2	yes	complemented
72	C₂⁴×C₅	C₂×C₈	1	1	yes	characteristic
73	C₂⁴×C₅	C₂×C₈	1	1	yes	characteristic
74	C₂×C₅×D₄	—	2	1	no	—
75	C₂×C₅×D₄	—	2	1	no	—
76	C₂×C₅×D₄	—	4	2	no	—
77	C₂²×C₄×C₅	—	2	2	no	—
78	C₂²×C₄×C₅	—	2	2	no	—
79	C₂²×C₄×C₅	—	2	1	no	—
80	C₂²×C₄×C₅	—	2	2	no	—
81	C₂²×C₄×C₅	—	2	1	no	—
82	C₂²×C₄×C₅	—	2	2	no	—
83	C₂²×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
84	C₂²×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
85	C₂²×C₄×C₅	C₂×C₈	1	1	yes	characteristic
86	C₂²×C₄×C₅	C₂×C₈	1	1	yes	characteristic
87	C₂²×C₄×C₅	C₂×C₈	1	1	yes	characteristic
88	C₂²×C₄×C₅	C₂×C₈	1	1	yes	characteristic
89	C₂²×C₄×C₅	M₁₆	1	1	yes	characteristic
90	C₂²×C₄×C₅	M₁₆	1	1	yes	characteristic
91	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
92	C₅×M₁₆	—	4	1	no	—
93	C₅×M₁₆	—	4	2	no	—
94	C₅×M₁₆	—	4	1	no	—
95	C₂×C₅×C₈	—	2	2	no	—
96	C₂×C₅×C₈	—	2	1	no	—
97	C₂×C₅×C₈	—	2	1	no	—
98	C₂×C₅×C₈	—	2	2	no	—
99	C₂×C₅×C₈	—	2	2	no	—
100	C₂×C₅×C₈	—	2	1	no	—
101	C₂×C₅×C₈	—	2	1	no	—
102	C₂×C₅×C₈	—	2	1	no	—
103	C₂×C₅×C₈	—	2	1	no	—
104	C₂×C₅×C₈	—	2	2	no	—
105	C₂×C₅×C₈	—	2	2	no	—
106	C₂×C₅×C₈	C₂²⋊C₄	1	1	yes	characteristic
107	C₂×C₅×C₈	C₂²⋊C₄	1	1	yes	characteristic
108	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
109	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
110	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
111	C₂×C₅×C₈	#41	1	2	yes	—
112	C₅×C₄⋊C₄	—	2	1	no	—
113	C₅×C₄⋊C₄	—	2	1	no	—
114	C₅×C₂²⋊C₄	—	2	1	no	—
115	C₅×C₂²⋊C₄	—	2	1	no	—
116	C₅×C₂²⋊C₄	—	2	1	no	—
117	C₅×C₂²⋊C₄	—	2	1	no	—
118	C₄²×C₅	—	2	1	no	—
119	C₄²×C₅	—	2	1	no	—
120	C₅×C₁₆	—	2	4	no	—
121	C₅×C₁₆	—	4	2	no	—
122	C₂²×M₁₆	C₂²×C₅	1	1	yes	characteristic
123	C₂³×C₈	C₂²×C₅	1	1	yes	characteristic
124	C₂×C₄×D₄	C₄×C₅	1	1	yes	characteristic
125	C₂×M₃₂	—	2	1	no	—
126	C₂×M₃₂	—	2	4	no	—
127	C₂×M₃₂	C₂²×C₅	1	2	yes	—
128	C₂×M₃₂	C₂²×C₅	1	2	yes	—
129	C₂²×C₁₆	—	2	1	no	—
130	#435	—	2	1	no	—
131	#435	—	2	1	no	—
132	#435	—	2	1	no	—
133	#435	—	2	1	no	—
134	C₂×C₄⋊C₈	C₄×C₅	1	1	yes	characteristic
135	C₂×C₂²⋊C₈	C₄×C₅	1	1	yes	characteristic
136	C₂×C₂²⋊C₈	C₄×C₅	1	1	yes	characteristic
137	C₂×#97	C₂²×C₅	1	1	yes	characteristic
138	#349	—	2	4	no	—
139	C₂²⋊C₁₆	—	2	1	no	—
140	C₂²⋊C₁₆	—	2	1	no	—
141	C₂³×C₅	—	2	2	no	—
142	C₂³×C₅	—	2	2	no	—
143	C₂³×C₅	—	2	1	no	—
144	C₂³×C₅	—	2	2	no	—
145	C₂³×C₅	—	4	1	no	—
146	C₂³×C₅	—	4	1	no	—
147	C₂³×C₅	—	4	1	no	—
148	C₂³×C₅	C₂²⋊C₈	1	1	yes	characteristic
149	C₂³×C₅	C₂²⋊C₈	1	1	yes	characteristic
150	C₂³×C₅	C₂²×C₈	1	1	yes	characteristic
151	C₅×D₄	—	4	2	no	—
152	C₅×D₄	—	4	2	no	—
153	C₂×C₄×C₅	—	2	2	no	—
154	C₂×C₄×C₅	—	2	1	no	—
155	C₂×C₄×C₅	—	2	1	no	—
156	C₂×C₄×C₅	—	2	1	no	—
157	C₂×C₄×C₅	—	2	1	no	—
158	C₂×C₄×C₅	—	2	2	no	—
159	C₂×C₄×C₅	—	2	2	no	—
160	C₂×C₄×C₅	—	2	1	no	—
161	C₂×C₄×C₅	—	2	1	no	—
162	C₂×C₄×C₅	—	2	1	no	—
163	C₂×C₄×C₅	—	2	2	no	—
164	C₂×C₄×C₅	—	4	1	no	—
165	C₂×C₄×C₅	—	4	1	no	—
166	C₂×C₄×C₅	—	4	2	no	—
167	C₂×C₄×C₅	—	4	1	no	—
168	C₂×C₄×C₅	—	4	1	no	—
169	C₂×C₄×C₅	C₂²⋊C₈	1	1	yes	characteristic
170	C₂×C₄×C₅	C₂²⋊C₈	1	1	yes	characteristic
171	C₂×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
172	C₂×C₄×C₅	C₄×D₄	1	2	yes	—
173	C₂×C₄×C₅	C₂×M₁₆	1	1	yes	characteristic
174	C₂×C₄×C₅	#131	1	2	yes	—
175	C₅×C₈	—	2	1	no	—
176	C₅×C₈	—	2	1	no	—
177	C₅×C₈	—	4	1	no	—
178	C₅×C₈	—	4	1	no	—
179	C₅×C₈	#120	1	1	yes	characteristic
180	C₅×C₈	#121	1	2	yes	—
181	C₅×C₈	#123	1	1	yes	characteristic
182	C₂²×D₄	C₅×C₈	1	1	yes	characteristic
183	C₂³×C₄	C₂×C₄×C₅	1	1	yes	characteristic
184	C₂³×C₄	C₂×C₄×C₅	1	1	yes	characteristic
185	C₂×M₁₆	—	2	2	no	—
186	C₂×M₁₆	—	2	1	no	—
187	C₂×M₁₆	—	2	1	no	—
188	C₂×M₁₆	—	2	2	no	—
189	C₂²×C₈	—	2	2	no	—
190	C₂²×C₈	—	2	2	no	—
191	C₂²×C₈	C₂×C₄×C₅	1	1	yes	characteristic
192	C₂²×C₈	C₂×C₄×C₅	1	1	yes	characteristic
193	C₂²×C₈	C₂×C₄×C₅	1	1	yes	characteristic
194	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
195	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
196	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
197	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
198	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
199	C₄×D₄	—	2	1	no	—
200	C₄×D₄	—	2	1	no	—
201	C₄×D₄	—	2	1	no	—
202	C₄×D₄	—	2	1	no	—
203	C₂×C₄⋊C₄	C₅×C₈	1	1	yes	characteristic
204	C₂×C₂²⋊C₄	C₅×C₈	1	1	yes	characteristic
205	C₂×C₂²⋊C₄	C₅×C₈	1	1	yes	characteristic
206	C₂×C₄²	C₂×C₄×C₅	1	1	yes	characteristic
207	M₃₂	—	2	4	no	—
208	M₃₂	—	2	2	no	—
209	M₃₂	—	2	2	no	—
210	M₃₂	—	2	2	no	—
211	M₃₂	C₅×D₄	1	4	yes	complemented
212	C₂×C₁₆	—	2	4	no	—
213	C₂×C₁₆	—	2	2	no	—
214	C₂×C₁₆	—	2	2	no	—
215	C₄⋊C₈	—	2	1	no	—
216	C₄⋊C₈	—	2	1	no	—
217	C₂²⋊C₈	—	2	1	no	—
218	C₂²⋊C₈	—	2	1	no	—
219	C₂²⋊C₈	—	2	1	no	—
220	C₂²⋊C₈	—	2	1	no	—
221	#97	—	2	1	no	—
222	#97	—	2	1	no	—
223	C₂²×C₅	—	2	1	no	—
224	C₂²×C₅	—	2	1	no	—
225	C₂²×C₅	—	2	1	no	—
226	C₂²×C₅	—	2	1	no	—
227	C₂²×C₅	—	2	1	no	—
228	C₂²×C₅	—	2	1	no	—
229	C₂²×C₅	—	2	1	no	—
230	C₂²×C₅	—	4	4	no	—
231	C₂²×C₅	—	4	1	no	—
232	C₂²×C₅	—	4	1	no	—
233	C₂²×C₅	—	4	1	no	—
234	C₂²×C₅	—	8	2	no	—
235	C₂²×C₅	#349	1	2	yes	complemented
236	C₂²×C₅	C₂×C₂²⋊C₈	1	1	yes	characteristic
237	C₂²×C₅	C₈×D₄	1	2	yes	—
238	C₄×C₅	—	2	1	no	—
239	C₄×C₅	—	2	1	no	—
240	C₄×C₅	—	4	1	no	—
241	C₄×C₅	—	4	1	no	—
242	C₄×C₅	—	4	1	no	—
243	C₄×C₅	#386	1	1	yes	characteristic
244	C₄×C₅	#408	1	1	yes	characteristic
245	C₄×C₅	#435	1	2	yes	—
246	C₂⁴	C₂×C₅×C₈	1	1	yes	characteristic
247	C₂⁴	C₂×C₅×C₈	1	1	yes	characteristic
248	C₂×D₄	—	2	1	no	—
249	C₂×D₄	—	2	1	no	—
250	C₂×D₄	—	4	2	no	—
251	C₂²×C₄	—	2	2	no	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	—	2	1	no	—
254	C₂²×C₄	—	2	2	no	—
255	C₂²×C₄	—	2	1	no	—
256	C₂²×C₄	—	2	2	no	—
257	C₂²×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
258	C₂²×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
259	C₂²×C₄	C₂×C₅×C₈	1	1	yes	characteristic
260	C₂²×C₄	C₂×C₅×C₈	1	1	yes	characteristic
261	C₂²×C₄	C₂×C₅×C₈	1	1	yes	characteristic
262	C₂²×C₄	C₂×C₅×C₈	1	1	yes	characteristic
263	C₂²×C₄	C₅×M₁₆	1	1	yes	characteristic
264	C₂²×C₄	C₅×M₁₆	1	1	yes	characteristic
265	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
266	M₁₆	—	4	1	no	—
267	M₁₆	—	4	2	no	—
268	M₁₆	—	4	1	no	—
269	C₂×C₈	—	2	2	no	—
270	C₂×C₈	—	2	1	no	—
271	C₂×C₈	—	2	1	no	—
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	2	1	no	—
275	C₂×C₈	—	2	1	no	—
276	C₂×C₈	—	2	1	no	—
277	C₂×C₈	—	2	1	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	C₅×C₂²⋊C₄	1	1	yes	characteristic
281	C₂×C₈	C₅×C₂²⋊C₄	1	1	yes	characteristic
282	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
283	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
284	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
285	C₂×C₈	C₅×#41	1	2	yes	—
286	C₄⋊C₄	—	2	1	no	—
287	C₄⋊C₄	—	2	1	no	—
288	C₂²⋊C₄	—	2	1	no	—
289	C₂²⋊C₄	—	2	1	no	—
290	C₂²⋊C₄	—	2	1	no	—
291	C₂²⋊C₄	—	2	1	no	—
292	C₄²	—	2	1	no	—
293	C₄²	—	2	1	no	—
294	C₁₆	—	2	4	no	—
295	C₁₆	—	4	2	no	—
296	C₂×C₅	—	2	2	no	—
297	C₂×C₅	—	2	2	no	—
298	C₂×C₅	—	4	1	no	—
299	C₂×C₅	—	8	1	no	—
300	C₂×C₅	#1869	1	1	yes	characteristic
301	C₂×C₅	C₂×#349	1	1	yes	characteristic
302	C₂×C₅	#2115	1	1	yes	characteristic
303	C₂³	—	2	2	no	—
304	C₂³	—	2	2	no	—
305	C₂³	—	2	1	no	—
306	C₂³	—	2	2	no	—
307	C₂³	—	4	1	no	—
308	C₂³	—	4	1	no	—
309	C₂³	—	4	1	no	—
310	C₂³	C₅×C₂²⋊C₈	1	1	yes	characteristic
311	C₂³	C₅×C₂²⋊C₈	1	1	yes	characteristic
312	C₂³	C₂²×C₅×C₈	1	1	yes	characteristic
313	D₄	—	4	2	no	—
314	D₄	—	4	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	1	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	C₅×C₂²⋊C₈	1	1	yes	characteristic
332	C₂×C₄	C₅×C₂²⋊C₈	1	1	yes	characteristic
333	C₂×C₄	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
334	C₂×C₄	C₄×C₅×D₄	1	2	yes	—
335	C₂×C₄	C₂×C₅×M₁₆	1	1	yes	characteristic
336	C₂×C₄	C₅×#131	1	2	yes	—
337	C₈	—	2	1	no	—
338	C₈	—	2	1	no	—
339	C₈	—	4	1	no	—
340	C₈	—	4	1	no	—
341	C₈	C₅×#120	1	1	yes	characteristic
342	C₈	C₅×#121	1	2	yes	—
343	C₈	C₅×#123	1	1	yes	characteristic
344	C₅	#12985	1	1	yes	characteristic, direct product factor, Sylow
345	C₂²	—	2	1	no	—
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	4	4	no	—
353	C₂²	—	4	1	no	—
354	C₂²	—	4	1	no	—
355	C₂²	—	4	1	no	—
356	C₂²	—	8	2	no	—
357	C₂²	C₅×#349	1	2	yes	complemented
358	C₂²	C₂×C₅×C₂²⋊C₈	1	1	yes	characteristic
359	C₂²	C₅×C₈×D₄	1	2	yes	—
360	C₄	—	2	1	no	—
361	C₄	—	2	1	no	—
362	C₄	—	4	1	no	—
363	C₄	—	4	1	no	—
364	C₄	—	4	1	no	—
365	C₄	C₅×#386	1	1	yes	characteristic
366	C₄	C₅×#408	1	1	yes	characteristic
367	C₄	C₅×#435	1	2	yes	—
368	C₂	—	2	2	no	—
369	C₂	—	2	2	no	—
370	C₂	—	4	1	no	—
371	C₂	—	8	1	no	—
372	C₂	C₅×#1869	1	1	yes	characteristic
373	C₂	C₂×C₅×#349	1	1	yes	characteristic
374	C₂	C₅×#2115	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₅	C₂×C₂²⋊C₄
commutator	C₂³	C₂²×C₅×C₈
Frattini, cosocle	C₂²×C₈	C₂³×C₅
socle	C₂²×C₅	C₂×C₂²⋊C₈
prime radical	C₂²×C₅×D₄	C₈
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₅ ◁ C₂³×C₅×C₈ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₅×M₃₂	C₂	semidirect
3. C₂×C₅×#349	C₂	semidirect
4. C₅×#2112	C₂	semidirect
5. C₅×#1377	C₂	semidirect
25. #12985	C₅	direct (N × H)
55. C₅×M₃₂	D₄	semidirect
67. C₂²×M₃₂	C₂×C₅	semidirect
69. C₂×#349	C₂×C₅	semidirect
70. #2112	C₂×C₅	semidirect
71. #1377	C₂×C₅	semidirect
211. M₃₂	C₅×D₄	semidirect
235. C₂²×C₅	#349	semidirect
344. C₅	#12985	direct (N × H)
357. C₂²	C₅×#349	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₅×M₃₂	2
C₂×C₅×#435	2
C₂×C₅×#349	2
C₅×#2112	2
C₅×#1377	2
#12985	5

Subgroups — C5×#12985 #11935705

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#12985 #11935705