Subgroups — C₄₁×#21983 #23798184

Order 10496.

834 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₁×#431	C₂	1	1	yes	maximal, characteristic
2	C₄₁×#2283	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄₁×#382	C₂	1	1	yes	maximal, characteristic
4	C₄₁×#1949	C₂	1	4	yes	maximal, complemented
5	C₄₁×#1853	C₂	1	2	yes	maximal
6	C₄₁×#1852	C₂	1	2	yes	maximal
7	C₄₁×#1846	C₂	1	2	yes	maximal, complemented
8	C₄₁×#1835	C₂	1	2	yes	maximal, complemented
9	C₂²×C₄⋊C₄×C₄₁	C₂²	1	2	yes	—
10	C₂²×C₄²×C₄₁	C₂²	1	1	yes	characteristic
11	C₄₁×#431	C₄	1	8	yes	complemented
12	C₂×#107×C₄₁	C₂²	1	4	yes	—
13	C₂×#106×C₄₁	C₂²	1	4	yes	—
14	C₂×C₄⋊C₈×C₄₁	C₂²	1	2	yes	—
15	C₂×C₂²⋊C₈×C₄₁	C₂²	1	1	yes	characteristic
16	C₂×C₂²⋊C₈×C₄₁	C₂²	1	1	yes	characteristic
17	C₂×C₄×C₈×C₄₁	C₂²	1	2	yes	—
18	C₄₁×#383	—	2	1	no	—
19	C₄₁×#382	—	2	1	no	—
20	C₄₁×#382	—	2	1	no	—
21	C₄₁×#382	C₂²	1	2	yes	—
22	C₄₁×#382	C₂²	1	2	yes	—
23	C₄₁×#382	C₂²	1	1	yes	characteristic
24	C₄₁×#382	C₂²	1	1	yes	characteristic
25	C₄₁×#381	—	2	1	no	—
26	C₄₁×#380	C₂²	1	2	yes	—
27	C₄×C₄⋊C₄×C₄₁	C₂²	1	2	yes	—
28	C₄×C₂²⋊C₄×C₄₁	—	2	1	no	—
29	C₄₁×#376	—	2	1	no	—
30	C₂×#95×C₄₁	—	2	1	no	—
31	C₂×#95×C₄₁	—	2	1	no	—
32	C₄₁×#340	C₂²	1	4	yes	—
33	C₄₁×#340	C₂²	1	4	yes	—
34	C₂³×C₄×C₄₁	—	2	2	no	—
35	C₂³×C₄×C₄₁	D₄	1	1	yes	characteristic
36	C₂³×C₄×C₄₁	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₄₁	C₂³	1	2	yes	—
39	C₂²×C₈×C₄₁	C₂³	1	2	yes	—
40	C₂×C₄⋊C₄×C₄₁	—	2	2	no	—
41	C₂×C₄⋊C₄×C₄₁	—	4	4	no	—
42	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
43	C₂×C₄⋊C₄×C₄₁	C₂³	1	2	yes	—
44	C₂×C₄⋊C₄×C₄₁	C₂³	1	2	yes	—
45	C₂×C₂²⋊C₄×C₄₁	—	2	2	no	—
46	C₂×C₄²×C₄₁	—	2	2	no	—
47	C₂×C₄²×C₄₁	C₂×C₄	1	4	yes	—
48	C₂×C₄²×C₄₁	D₄	1	1	yes	characteristic
49	C₂×C₄²×C₄₁	D₄	1	1	yes	characteristic
50	C₂×C₄²×C₄₁	Q₈	1	4	yes	—
51	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
52	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
53	#107×C₄₁	—	4	4	no	—
54	#106×C₄₁	—	4	4	no	—
55	C₄⋊C₈×C₄₁	C₂×C₄	1	8	yes	complemented
56	C₂²⋊C₈×C₄₁	C₂×C₄	1	4	yes	—
57	C₂²⋊C₈×C₄₁	C₂×C₄	1	4	yes	—
58	C₄×C₈×C₄₁	C₂×C₄	1	8	yes	complemented
59	#95×C₄₁	—	2	2	no	—
60	#95×C₄₁	—	2	2	no	—
61	#95×C₄₁	—	2	2	no	—
62	#95×C₄₁	—	2	2	no	—
63	#95×C₄₁	—	2	2	no	—
64	#95×C₄₁	—	2	1	no	—
65	#95×C₄₁	—	2	1	no	—
66	#95×C₄₁	—	2	1	no	—
67	#95×C₄₁	—	2	1	no	—
68	#95×C₄₁	—	2	2	no	—
69	C₂⁴×C₄₁	C₂×D₄	1	1	yes	characteristic
70	C₂²×C₄×C₄₁	—	2	4	no	—
71	C₂²×C₄×C₄₁	—	2	2	no	—
72	C₂²×C₄×C₄₁	—	2	2	no	—
73	C₂²×C₄×C₄₁	—	2	2	no	—
74	C₂²×C₄×C₄₁	—	2	2	no	—
75	C₂²×C₄×C₄₁	—	2	4	no	—
76	C₂²×C₄×C₄₁	—	4	2	no	—
77	C₂²×C₄×C₄₁	—	4	4	no	—
78	C₂²×C₄×C₄₁	—	4	4	no	—
79	C₂²×C₄×C₄₁	—	4	4	no	—
80	C₂²×C₄×C₄₁	C₄⋊C₄	1	4	yes	—
81	C₂²×C₄×C₄₁	C₄⋊C₄	1	4	yes	—
82	C₂²×C₄×C₄₁	C₂²×C₄	1	2	yes	—
83	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₄₁	C₂×Q₈	1	2	yes	—
89	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
90	C₂×C₈×C₄₁	—	2	2	no	—
91	C₂×C₈×C₄₁	—	2	2	no	—
92	C₂×C₈×C₄₁	—	2	2	no	—
93	C₂×C₈×C₄₁	—	2	2	no	—
94	C₂×C₈×C₄₁	C₂²×C₄	1	4	yes	—
95	C₂×C₈×C₄₁	C₂²×C₄	1	4	yes	—
96	C₄⋊C₄×C₄₁	—	2	4	no	—
97	C₄⋊C₄×C₄₁	—	2	4	no	—
98	C₄⋊C₄×C₄₁	—	2	4	no	—
99	C₄⋊C₄×C₄₁	—	2	4	no	—
100	C₄⋊C₄×C₄₁	—	4	4	no	—
101	C₂²⋊C₄×C₄₁	—	4	4	no	—
102	C₄²×C₄₁	—	4	4	no	—
103	C₄²×C₄₁	C₄⋊C₄	1	4	yes	—
104	C₄²×C₄₁	C₄⋊C₄	1	4	yes	—
105	C₄²×C₄₁	C₂²×C₄	1	2	yes	—
106	C₄²×C₄₁	C₂²×C₄	1	2	yes	—
107	C₄²×C₄₁	C₂×Q₈	1	2	yes	—
108	C₄²×C₄₁	C₂×Q₈	1	2	yes	—
109	C₂³×C₄₁	—	2	1	no	—
110	C₂³×C₄₁	—	2	1	no	—
111	C₂³×C₄₁	—	2	2	no	—
112	C₂³×C₄₁	C₂×C₄⋊C₄	1	2	yes	—
113	C₂³×C₄₁	#135	1	4	yes	—
114	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
115	C₂×C₄×C₄₁	—	2	1	no	—
116	C₂×C₄×C₄₁	—	2	1	no	—
117	C₂×C₄×C₄₁	—	2	2	no	—
118	C₂×C₄×C₄₁	—	2	2	no	—
119	C₂×C₄×C₄₁	—	2	2	no	—
120	C₂×C₄×C₄₁	—	2	2	no	—
121	C₂×C₄×C₄₁	—	2	8	no	—
122	C₂×C₄×C₄₁	—	2	4	no	—
123	C₂×C₄×C₄₁	—	2	4	no	—
124	C₂×C₄×C₄₁	—	4	4	no	—
125	C₂×C₄×C₄₁	—	4	4	no	—
126	C₂×C₄×C₄₁	—	4	2	no	—
127	C₂×C₄×C₄₁	—	4	2	no	—
128	C₂×C₄×C₄₁	—	4	2	no	—
129	C₂×C₄×C₄₁	—	4	2	no	—
130	C₂×C₄×C₄₁	—	4	4	no	—
131	C₂×C₄×C₄₁	—	4	2	no	—
132	C₂×C₄×C₄₁	—	4	2	no	—
133	C₂×C₄×C₄₁	—	4	4	no	—
134	C₂×C₄×C₄₁	—	8	8	no	—
135	C₂×C₄×C₄₁	C₂×C₄⋊C₄	1	2	yes	—
136	C₂×C₄×C₄₁	C₂×C₄⋊C₄	1	2	yes	—
137	C₂×C₄×C₄₁	C₂×C₄⋊C₄	1	2	yes	—
138	C₂×C₄×C₄₁	C₂×C₄⋊C₄	1	2	yes	—
139	C₂×C₄×C₄₁	C₂×C₄⋊C₄	1	2	yes	—
140	C₂×C₄×C₄₁	C₂³×C₄	1	1	yes	characteristic
141	C₂×C₄×C₄₁	C₂²×Q₈	1	1	yes	characteristic
142	C₂×C₄×C₄₁	H(5,𝔽₂)	1	2	yes	—
143	C₂×C₄×C₄₁	2₋¹⁺⁴	1	2	yes	—
144	C₈×C₄₁	—	2	4	no	—
145	C₈×C₄₁	—	2	4	no	—
146	#21983	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
147	C₂²×C₄₁	—	2	2	no	—
148	C₂²×C₄₁	—	2	2	no	—
149	C₂²×C₄₁	—	2	4	no	—
150	C₂²×C₄₁	—	2	4	no	—
151	C₂²×C₄₁	#427	1	4	yes	—
152	C₂²×C₄₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
153	C₂²×C₄₁	#535	1	1	yes	characteristic
154	C₂²×C₄₁	#536	1	1	yes	characteristic
155	C₂²×C₄₁	C₂×#135	1	2	yes	—
156	C₂²×C₄₁	#575	1	2	yes	—
157	C₄×C₄₁	—	2	2	no	—
158	C₄×C₄₁	—	2	2	no	—
159	C₄×C₄₁	—	2	2	no	—
160	C₄×C₄₁	—	2	2	no	—
161	C₄×C₄₁	—	2	2	no	—
162	C₄×C₄₁	—	8	2	no	—
163	C₄×C₄₁	—	8	4	no	—
164	C₄×C₄₁	—	8	2	no	—
165	C₄×C₄₁	#520	1	2	yes	—
166	C₄×C₄₁	#544	1	2	yes	—
167	C₂×#431	C₂×C₄₁	1	1	yes	characteristic
168	#2283	C₂×C₄₁	1	1	yes	characteristic
169	C₂×#382	C₂×C₄₁	1	1	yes	characteristic
170	#1949	C₂×C₄₁	1	4	yes	complemented
171	#1853	C₂×C₄₁	1	2	yes	—
172	#1852	C₂×C₄₁	1	2	yes	—
173	#1846	C₂×C₄₁	1	2	yes	complemented
174	#1835	C₂×C₄₁	1	2	yes	complemented
175	C₂×C₄₁	—	2	4	no	—
176	C₂×C₄₁	#2317	1	1	yes	characteristic
177	C₂×C₄₁	C₂×#427	1	1	yes	characteristic
178	C₂×C₄₁	#2911	1	1	yes	characteristic
179	C₂×C₄₁	#3211	1	2	yes	—
180	C₂×C₄₁	#3232	1	2	yes	—
181	C₂²×C₄⋊C₄	C₂²×C₄₁	1	2	yes	—
182	C₂²×C₄²	C₂²×C₄₁	1	1	yes	characteristic
183	#431	C₄×C₄₁	1	8	yes	complemented
184	C₂×#107	C₂²×C₄₁	1	4	yes	—
185	C₂×#106	C₂²×C₄₁	1	4	yes	—
186	C₂×C₄⋊C₈	C₂²×C₄₁	1	2	yes	—
187	C₂×C₂²⋊C₈	C₂²×C₄₁	1	1	yes	characteristic
188	C₂×C₂²⋊C₈	C₂²×C₄₁	1	1	yes	characteristic
189	C₂×C₄×C₈	C₂²×C₄₁	1	2	yes	—
190	#383	—	2	1	no	—
191	#382	—	2	1	no	—
192	#382	—	2	1	no	—
193	#382	C₂²×C₄₁	1	1	yes	characteristic
194	#382	C₂²×C₄₁	1	2	yes	—
195	#382	C₂²×C₄₁	1	1	yes	characteristic
196	#382	C₂²×C₄₁	1	2	yes	—
197	#381	—	2	1	no	—
198	#380	C₂²×C₄₁	1	2	yes	—
199	C₄×C₄⋊C₄	C₂²×C₄₁	1	2	yes	—
200	C₄×C₂²⋊C₄	—	2	1	no	—
201	#376	—	2	1	no	—
202	C₂×#95	—	2	1	no	—
203	C₂×#95	—	2	1	no	—
204	#340	C₂²×C₄₁	1	4	yes	—
205	#340	C₂²×C₄₁	1	4	yes	—
206	C₄₁	#21983	1	1	yes	characteristic, direct product factor, Sylow
207	C₂³×C₄	—	2	2	no	—
208	C₂³×C₄	D₄×C₄₁	1	1	yes	characteristic
209	C₂³×C₄	D₄×C₄₁	1	1	yes	characteristic
210	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
211	C₂²×C₈	C₂³×C₄₁	1	2	yes	—
212	C₂²×C₈	C₂³×C₄₁	1	2	yes	—
213	C₂×C₄⋊C₄	—	2	2	no	—
214	C₂×C₄⋊C₄	—	4	4	no	—
215	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
216	C₂×C₄⋊C₄	C₂³×C₄₁	1	2	yes	—
217	C₂×C₄⋊C₄	C₂³×C₄₁	1	2	yes	—
218	C₂×C₂²⋊C₄	—	2	2	no	—
219	C₂×C₄²	—	2	2	no	—
220	C₂×C₄²	C₂×C₄×C₄₁	1	4	yes	—
221	C₂×C₄²	D₄×C₄₁	1	1	yes	characteristic
222	C₂×C₄²	D₄×C₄₁	1	1	yes	characteristic
223	C₂×C₄²	Q₈×C₄₁	1	4	yes	—
224	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
225	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
226	#107	—	4	4	no	—
227	#106	—	4	4	no	—
228	C₄⋊C₈	C₂×C₄×C₄₁	1	8	yes	complemented
229	C₂²⋊C₈	C₂×C₄×C₄₁	1	4	yes	—
230	C₂²⋊C₈	C₂×C₄×C₄₁	1	4	yes	—
231	C₄×C₈	C₂×C₄×C₄₁	1	8	yes	complemented
232	#95	—	2	2	no	—
233	#95	—	2	2	no	—
234	#95	—	2	2	no	—
235	#95	—	2	2	no	—
236	#95	—	2	2	no	—
237	#95	—	2	1	no	—
238	#95	—	2	1	no	—
239	#95	—	2	1	no	—
240	#95	—	2	1	no	—
241	#95	—	2	2	no	—
242	C₂⁴	C₂×D₄×C₄₁	1	1	yes	characteristic
243	C₂²×C₄	—	2	4	no	—
244	C₂²×C₄	—	2	2	no	—
245	C₂²×C₄	—	2	2	no	—
246	C₂²×C₄	—	2	2	no	—
247	C₂²×C₄	—	2	2	no	—
248	C₂²×C₄	—	2	4	no	—
249	C₂²×C₄	—	4	2	no	—
250	C₂²×C₄	—	4	4	no	—
251	C₂²×C₄	—	4	4	no	—
252	C₂²×C₄	—	4	4	no	—
253	C₂²×C₄	C₄⋊C₄×C₄₁	1	4	yes	—
254	C₂²×C₄	C₄⋊C₄×C₄₁	1	4	yes	—
255	C₂²×C₄	C₂²×C₄×C₄₁	1	2	yes	—
256	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
257	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
258	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
259	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
260	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
261	C₂²×C₄	C₂×Q₈×C₄₁	1	2	yes	—
262	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
263	C₂×C₈	—	2	2	no	—
264	C₂×C₈	—	2	2	no	—
265	C₂×C₈	—	2	2	no	—
266	C₂×C₈	—	2	2	no	—
267	C₂×C₈	C₂²×C₄×C₄₁	1	4	yes	—
268	C₂×C₈	C₂²×C₄×C₄₁	1	4	yes	—
269	C₄⋊C₄	—	2	4	no	—
270	C₄⋊C₄	—	2	4	no	—
271	C₄⋊C₄	—	2	4	no	—
272	C₄⋊C₄	—	2	4	no	—
273	C₄⋊C₄	—	4	4	no	—
274	C₂²⋊C₄	—	4	4	no	—
275	C₄²	—	4	4	no	—
276	C₄²	C₄⋊C₄×C₄₁	1	4	yes	—
277	C₄²	C₄⋊C₄×C₄₁	1	4	yes	—
278	C₄²	C₂²×C₄×C₄₁	1	2	yes	—
279	C₄²	C₂²×C₄×C₄₁	1	2	yes	—
280	C₄²	C₂×Q₈×C₄₁	1	2	yes	—
281	C₄²	C₂×Q₈×C₄₁	1	2	yes	—
282	C₂³	—	2	1	no	—
283	C₂³	—	2	1	no	—
284	C₂³	—	2	2	no	—
285	C₂³	C₂×C₄⋊C₄×C₄₁	1	2	yes	—
286	C₂³	#135×C₄₁	1	4	yes	—
287	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
288	C₂×C₄	—	2	1	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	8	no	—
295	C₂×C₄	—	2	4	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	4	4	no	—
298	C₂×C₄	—	4	4	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	2	no	—
301	C₂×C₄	—	4	2	no	—
302	C₂×C₄	—	4	2	no	—
303	C₂×C₄	—	4	4	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	—	4	2	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	8	8	no	—
308	C₂×C₄	C₂×C₄⋊C₄×C₄₁	1	2	yes	—
309	C₂×C₄	C₂×C₄⋊C₄×C₄₁	1	2	yes	—
310	C₂×C₄	C₂×C₄⋊C₄×C₄₁	1	2	yes	—
311	C₂×C₄	C₂×C₄⋊C₄×C₄₁	1	2	yes	—
312	C₂×C₄	C₂×C₄⋊C₄×C₄₁	1	2	yes	—
313	C₂×C₄	C₂³×C₄×C₄₁	1	1	yes	characteristic
314	C₂×C₄	C₂²×Q₈×C₄₁	1	1	yes	characteristic
315	C₂×C₄	H(5,𝔽₂)×C₄₁	1	2	yes	—
316	C₂×C₄	2₋¹⁺⁴×C₄₁	1	2	yes	—
317	C₈	—	2	4	no	—
318	C₈	—	2	4	no	—
319	C₂²	—	2	2	no	—
320	C₂²	—	2	2	no	—
321	C₂²	—	2	4	no	—
322	C₂²	—	2	4	no	—
323	C₂²	C₄₁×#427	1	4	yes	—
324	C₂²	C₂²×C₄⋊C₄×C₄₁	1	1	yes	characteristic
325	C₂²	C₄₁×#535	1	1	yes	characteristic
326	C₂²	C₄₁×#536	1	1	yes	characteristic
327	C₂²	C₂×#135×C₄₁	1	2	yes	—
328	C₂²	C₄₁×#575	1	2	yes	—
329	C₄	—	2	2	no	—
330	C₄	—	2	2	no	—
331	C₄	—	2	2	no	—
332	C₄	—	2	2	no	—
333	C₄	—	2	2	no	—
334	C₄	—	8	4	no	—
335	C₄	—	8	2	no	—
336	C₄	—	8	2	no	—
337	C₄	C₄₁×#520	1	2	yes	—
338	C₄	C₄₁×#544	1	2	yes	—
339	C₂	—	2	4	no	—
340	C₂	C₄₁×#2317	1	1	yes	characteristic
341	C₂	C₂×C₄₁×#427	1	1	yes	characteristic
342	C₂	C₄₁×#2911	1	1	yes	characteristic
343	C₂	C₄₁×#3211	1	2	yes	—
344	C₂	C₄₁×#3232	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₁	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₄₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₁
prime radical	C₂⁴×C₄₁	C₂×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₁ ◁ C₂²×C₄²×C₄₁ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₄₁×#1949	C₂	semidirect
7. C₄₁×#1846	C₂	semidirect
8. C₄₁×#1835	C₂	semidirect
11. C₄₁×#431	C₄	semidirect
55. C₄⋊C₈×C₄₁	C₂×C₄	semidirect
58. C₄×C₈×C₄₁	C₂×C₄	semidirect
146. #21983	C₄₁	direct (N × H)
170. #1949	C₂×C₄₁	semidirect
173. #1846	C₂×C₄₁	semidirect
174. #1835	C₂×C₄₁	semidirect
183. #431	C₄×C₄₁	semidirect
206. C₄₁	#21983	direct (N × H)
228. C₄⋊C₈	C₂×C₄×C₄₁	semidirect
231. C₄×C₈	C₂×C₄×C₄₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄₁×#431	2
C₄₁×#2283	2
C₂×C₄₁×#382	2
C₄₁×#1949	2
C₄₁×#1853	2
C₄₁×#1852	2
C₄₁×#1846	2
C₄₁×#1835	2
#21983	41

Subgroups — C41×#21983 #23798184

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#21983 #23798184