Subgroups — C₄₁×#23630 #23799831

Order 10496.

1130 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	C₂×C₄₁×#417	C₂	1	2	yes	maximal
2	C₄₁×#2297	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄₁×#384	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#2072	C₂	1	4	yes	maximal, complemented
5	C₄₁×#2071	C₂	1	4	yes	maximal, complemented
6	C₄₁×#1736	C₂	1	2	yes	maximal, complemented
7	C₄₁×#1728	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#41×C₄₁	C₂²	1	1	yes	characteristic
9	C₂²×M₁₆×C₄₁	C₂²	1	2	yes	—
10	C₂×#117×C₄₁	C₂²	1	1	yes	characteristic
11	C₂²×C₄⋊C₄×C₄₁	—	2	2	no	—
12	C₂²×C₄⋊C₄×C₄₁	C₂²	1	2	yes	—
13	C₂²×C₄²×C₄₁	C₂²	1	1	yes	characteristic
14	C₄₁×#417	—	2	8	no	—
15	C₂×#103×C₄₁	C₂²	1	4	yes	—
16	C₂×#102×C₄₁	C₂²	1	4	yes	—
17	C₄₁×#391	C₂²	1	2	yes	—
18	C₄₁×#390	C₂²	1	2	yes	—
19	C₄₁×#386	—	2	2	no	—
20	C₄₁×#384	—	2	1	no	—
21	C₄₁×#384	—	2	1	no	—
22	C₄₁×#384	C₂²	1	4	yes	—
23	C₄×C₂²⋊C₄×C₄₁	—	2	1	no	—
24	C₄×C₂²⋊C₄×C₄₁	—	2	1	no	—
25	C₄₁×#340	C₂²	1	8	yes	—
26	C₄₁×#336	C₂²	1	4	yes	—
27	C₂×#41×C₄₁	—	2	2	no	—
28	C₂×#41×C₄₁	—	2	4	no	—
29	C₂×#41×C₄₁	—	2	4	no	—
30	C₂×#41×C₄₁	D₄	1	4	yes	—
31	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
32	C₂²×D₄×C₄₁	—	2	1	no	—
33	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
34	C₂³×C₄×C₄₁	—	2	1	no	—
35	C₂³×C₄×C₄₁	—	2	2	no	—
36	C₂³×C₄×C₄₁	D₄	1	2	yes	—
37	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
38	C₂×M₁₆×C₄₁	—	2	4	no	—
39	C₂×M₁₆×C₄₁	—	2	4	no	—
40	C₂×M₁₆×C₄₁	—	2	4	no	—
41	C₂²×C₈×C₄₁	C₂³	1	4	yes	—
42	#117×C₄₁	—	2	4	no	—
43	C₂×C₄⋊C₄×C₄₁	—	2	4	no	—
44	C₂×C₄⋊C₄×C₄₁	—	2	4	no	—
45	C₂×C₄⋊C₄×C₄₁	—	2	4	no	—
46	C₂×C₄⋊C₄×C₄₁	—	2	4	no	—
47	C₂×C₄⋊C₄×C₄₁	—	2	2	no	—
48	C₂×C₄⋊C₄×C₄₁	—	4	8	no	—
49	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
50	C₂×C₄⋊C₄×C₄₁	C₂³	1	2	yes	—
51	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
52	C₂×C₂²⋊C₄×C₄₁	—	2	2	no	—
53	C₂×C₂²⋊C₄×C₄₁	—	2	2	no	—
54	C₂×C₄²×C₄₁	—	2	4	no	—
55	C₂×C₄²×C₄₁	—	2	1	no	—
56	C₂×C₄²×C₄₁	D₄	1	1	yes	characteristic
57	C₂×C₄²×C₄₁	D₄	1	1	yes	characteristic
58	C₂×C₄²×C₄₁	C₂³	1	2	yes	—
59	#103×C₄₁	—	2	8	no	—
60	#102×C₄₁	—	2	8	no	—
61	#95×C₄₁	—	2	2	no	—
62	#95×C₄₁	—	2	2	no	—
63	C₂⁴×C₄₁	—	2	1	no	—
64	C₂⁴×C₄₁	C₂×D₄	1	1	yes	characteristic
65	#41×C₄₁	—	2	16	no	—
66	#41×C₄₁	—	4	8	no	—
67	C₂×Q₈×C₄₁	—	2	1	no	—
68	C₂×Q₈×C₄₁	—	2	2	no	—
69	C₂×Q₈×C₄₁	—	2	2	no	—
70	C₂×Q₈×C₄₁	C₂×D₄	1	2	yes	—
71	C₂×D₄×C₄₁	—	2	4	no	—
72	C₂×D₄×C₄₁	—	2	2	no	—
73	C₂×D₄×C₄₁	—	2	2	no	—
74	C₂×D₄×C₄₁	—	2	1	no	—
75	C₂×D₄×C₄₁	—	4	2	no	—
76	C₂×D₄×C₄₁	—	4	2	no	—
77	C₂×D₄×C₄₁	C₂×D₄	1	2	yes	—
78	C₂²×C₄×C₄₁	—	2	4	no	—
79	C₂²×C₄×C₄₁	—	2	4	no	—
80	C₂²×C₄×C₄₁	—	2	4	no	—
81	C₂²×C₄×C₄₁	—	2	1	no	—
82	C₂²×C₄×C₄₁	—	2	4	no	—
83	C₂²×C₄×C₄₁	—	2	2	no	—
84	C₂²×C₄×C₄₁	—	2	4	no	—
85	C₂²×C₄×C₄₁	—	4	2	no	—
86	C₂²×C₄×C₄₁	—	4	2	no	—
87	C₂²×C₄×C₄₁	—	4	8	no	—
88	C₂²×C₄×C₄₁	—	4	4	no	—
89	C₂²×C₄×C₄₁	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₄₁	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₁	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₄₁	#41	1	2	yes	—
94	C₂²×C₄×C₄₁	#41	1	4	yes	—
95	C₂²×C₄×C₄₁	#41	1	4	yes	—
96	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
97	M₁₆×C₄₁	—	4	8	no	—
98	C₂×C₈×C₄₁	—	2	4	no	—
99	C₂×C₈×C₄₁	—	2	4	no	—
100	C₂×C₈×C₄₁	—	2	4	no	—
101	C₄⋊C₄×C₄₁	—	2	4	no	—
102	C₄⋊C₄×C₄₁	—	2	4	no	—
103	C₄⋊C₄×C₄₁	—	2	4	no	—
104	C₄⋊C₄×C₄₁	—	4	8	no	—
105	C₄⋊C₄×C₄₁	—	4	4	no	—
106	C₄⋊C₄×C₄₁	—	4	8	no	—
107	C₂²⋊C₄×C₄₁	—	4	2	no	—
108	C₂²⋊C₄×C₄₁	—	4	4	no	—
109	C₂²⋊C₄×C₄₁	—	4	4	no	—
110	C₄²×C₄₁	—	2	2	no	—
111	C₄²×C₄₁	—	2	2	no	—
112	C₄²×C₄₁	—	2	4	no	—
113	C₄²×C₄₁	—	4	2	no	—
114	C₂³×C₄₁	—	2	2	no	—
115	C₂³×C₄₁	—	2	2	no	—
116	C₂³×C₄₁	—	2	2	no	—
117	C₂³×C₄₁	—	4	1	no	—
118	C₂³×C₄₁	—	4	1	no	—
119	C₂³×C₄₁	—	4	2	no	—
120	C₂³×C₄₁	—	4	2	no	—
121	C₂³×C₄₁	#121	1	2	yes	—
122	C₂³×C₄₁	#123	1	2	yes	—
123	C₂³×C₄₁	#124	1	2	yes	—
124	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
125	Q₈×C₄₁	—	2	4	no	—
126	Q₈×C₄₁	—	4	2	no	—
127	D₄×C₄₁	—	2	4	no	—
128	D₄×C₄₁	—	4	8	no	—
129	D₄×C₄₁	—	4	2	no	—
130	C₂×C₄×C₄₁	—	2	16	no	—
131	C₂×C₄×C₄₁	—	2	2	no	—
132	C₂×C₄×C₄₁	—	2	2	no	—
133	C₂×C₄×C₄₁	—	2	2	no	—
134	C₂×C₄×C₄₁	—	2	2	no	—
135	C₂×C₄×C₄₁	—	2	2	no	—
136	C₂×C₄×C₄₁	—	4	1	no	—
137	C₂×C₄×C₄₁	—	4	1	no	—
138	C₂×C₄×C₄₁	—	4	8	no	—
139	C₂×C₄×C₄₁	—	4	4	no	—
140	C₂×C₄×C₄₁	—	4	2	no	—
141	C₂×C₄×C₄₁	—	4	2	no	—
142	C₂×C₄×C₄₁	—	4	8	no	—
143	C₂×C₄×C₄₁	—	4	2	no	—
144	C₂×C₄×C₄₁	—	8	8	no	—
145	C₂×C₄×C₄₁	#121	1	2	yes	—
146	C₂×C₄×C₄₁	#123	1	8	yes	—
147	C₂×C₄×C₄₁	#123	1	2	yes	—
148	C₂×C₄×C₄₁	#124	1	2	yes	—
149	C₂×C₄×C₄₁	#126	1	8	yes	—
150	C₂×C₄×C₄₁	AGL(1,ℤ/8)	1	4	yes	—
151	C₂×C₄×C₄₁	#137	1	4	yes	—
152	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₁	C₂×#41	1	2	yes	—
154	C₂×C₄×C₄₁	C₂×#41	1	2	yes	—
155	C₂×C₄×C₄₁	C₂×#41	1	1	yes	characteristic
156	C₈×C₄₁	—	4	4	no	—
157	#23630	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
158	C₂²×C₄₁	—	2	4	no	—
159	C₂²×C₄₁	—	2	4	no	—
160	C₂²×C₄₁	—	2	2	no	—
161	C₂²×C₄₁	—	2	2	no	—
162	C₂²×C₄₁	—	4	2	no	—
163	C₂²×C₄₁	—	4	2	no	—
164	C₂²×C₄₁	—	4	2	no	—
165	C₂²×C₄₁	—	8	2	no	—
166	C₂²×C₄₁	—	8	2	no	—
167	C₂²×C₄₁	#397	1	4	yes	—
168	C₂²×C₄₁	C₂×#121	1	1	yes	characteristic
169	C₂²×C₄₁	C₂×#123	1	1	yes	characteristic
170	C₂²×C₄₁	C₂×#124	1	1	yes	characteristic
171	C₂²×C₄₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
172	C₂²×C₄₁	C₂×#137	1	2	yes	—
173	C₄×C₄₁	—	2	4	no	—
174	C₄×C₄₁	—	2	4	no	—
175	C₄×C₄₁	—	4	2	no	—
176	C₄×C₄₁	—	8	2	no	—
177	C₄×C₄₁	—	8	4	no	—
178	C₄×C₄₁	#397	1	4	yes	—
179	C₄×C₄₁	C₂×#123	1	2	yes	—
180	C₄×C₄₁	C₂×#126	1	2	yes	—
181	C₂×#417	C₂×C₄₁	1	2	yes	—
182	#2297	C₂×C₄₁	1	1	yes	characteristic
183	C₂×#384	C₂×C₄₁	1	1	yes	characteristic, complemented
184	#2072	C₂×C₄₁	1	4	yes	complemented
185	#2071	C₂×C₄₁	1	4	yes	complemented
186	#1736	C₂×C₄₁	1	2	yes	complemented
187	#1728	C₂×C₄₁	1	1	yes	characteristic, complemented
188	C₂×C₄₁	—	2	4	no	—
189	C₂×C₄₁	—	8	2	no	—
190	C₂×C₄₁	C₂×#397	1	1	yes	characteristic
191	C₂×C₄₁	#3038	1	1	yes	characteristic
192	C₂×C₄₁	#3039	1	1	yes	characteristic
193	C₂×C₄₁	#3092	1	2	yes	—
194	C₂×C₄₁	#3141	1	2	yes	—
195	C₂²×#41	C₂²×C₄₁	1	1	yes	characteristic
196	C₂²×M₁₆	C₂²×C₄₁	1	2	yes	—
197	C₂×#117	C₂²×C₄₁	1	1	yes	characteristic
198	C₂²×C₄⋊C₄	—	2	2	no	—
199	C₂²×C₄⋊C₄	C₂²×C₄₁	1	2	yes	—
200	C₂²×C₄²	C₂²×C₄₁	1	1	yes	characteristic
201	#417	—	2	8	no	—
202	C₂×#103	C₂²×C₄₁	1	4	yes	—
203	C₂×#102	C₂²×C₄₁	1	4	yes	—
204	#391	C₂²×C₄₁	1	2	yes	—
205	#390	C₂²×C₄₁	1	2	yes	—
206	#386	—	2	2	no	—
207	#384	—	2	1	no	—
208	#384	—	2	1	no	—
209	#384	C₂²×C₄₁	1	4	yes	—
210	C₄×C₂²⋊C₄	—	2	1	no	—
211	C₄×C₂²⋊C₄	—	2	1	no	—
212	#340	C₂²×C₄₁	1	8	yes	—
213	#336	C₂²×C₄₁	1	4	yes	—
214	C₄₁	#23630	1	1	yes	characteristic, direct product factor, Sylow
215	C₂×#41	—	2	2	no	—
216	C₂×#41	—	2	4	no	—
217	C₂×#41	—	2	4	no	—
218	C₂×#41	D₄×C₄₁	1	4	yes	—
219	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
220	C₂²×D₄	—	2	1	no	—
221	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
222	C₂³×C₄	—	2	1	no	—
223	C₂³×C₄	—	2	2	no	—
224	C₂³×C₄	D₄×C₄₁	1	2	yes	—
225	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
226	C₂×M₁₆	—	2	4	no	—
227	C₂×M₁₆	—	2	4	no	—
228	C₂×M₁₆	—	2	4	no	—
229	C₂²×C₈	C₂³×C₄₁	1	4	yes	—
230	#117	—	2	4	no	—
231	C₂×C₄⋊C₄	—	2	4	no	—
232	C₂×C₄⋊C₄	—	2	4	no	—
233	C₂×C₄⋊C₄	—	2	4	no	—
234	C₂×C₄⋊C₄	—	2	4	no	—
235	C₂×C₄⋊C₄	—	2	2	no	—
236	C₂×C₄⋊C₄	—	4	8	no	—
237	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
238	C₂×C₄⋊C₄	C₂³×C₄₁	1	2	yes	—
239	C₂×C₂²⋊C₄	—	2	1	no	—
240	C₂×C₂²⋊C₄	—	2	2	no	—
241	C₂×C₂²⋊C₄	—	2	2	no	—
242	C₂×C₄²	—	2	4	no	—
243	C₂×C₄²	—	2	1	no	—
244	C₂×C₄²	D₄×C₄₁	1	1	yes	characteristic
245	C₂×C₄²	D₄×C₄₁	1	1	yes	characteristic
246	C₂×C₄²	C₂³×C₄₁	1	2	yes	—
247	#103	—	2	8	no	—
248	#102	—	2	8	no	—
249	#95	—	2	2	no	—
250	#95	—	2	2	no	—
251	C₂⁴	—	2	1	no	—
252	C₂⁴	C₂×D₄×C₄₁	1	1	yes	characteristic
253	#41	—	2	16	no	—
254	#41	—	4	8	no	—
255	C₂×Q₈	—	2	1	no	—
256	C₂×Q₈	—	2	2	no	—
257	C₂×Q₈	—	2	2	no	—
258	C₂×Q₈	C₂×D₄×C₄₁	1	2	yes	—
259	C₂×D₄	—	2	4	no	—
260	C₂×D₄	—	2	2	no	—
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	2	1	no	—
263	C₂×D₄	—	4	2	no	—
264	C₂×D₄	—	4	2	no	—
265	C₂×D₄	C₂×D₄×C₄₁	1	2	yes	—
266	C₂²×C₄	—	2	4	no	—
267	C₂²×C₄	—	2	4	no	—
268	C₂²×C₄	—	2	4	no	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	2	4	no	—
271	C₂²×C₄	—	2	2	no	—
272	C₂²×C₄	—	2	4	no	—
273	C₂²×C₄	—	4	2	no	—
274	C₂²×C₄	—	4	2	no	—
275	C₂²×C₄	—	4	8	no	—
276	C₂²×C₄	—	4	4	no	—
277	C₂²×C₄	C₂×D₄×C₄₁	1	2	yes	—
278	C₂²×C₄	C₂×D₄×C₄₁	1	2	yes	—
279	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
280	C₂²×C₄	C₂×D₄×C₄₁	1	2	yes	—
281	C₂²×C₄	#41×C₄₁	1	2	yes	—
282	C₂²×C₄	#41×C₄₁	1	4	yes	—
283	C₂²×C₄	#41×C₄₁	1	4	yes	—
284	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
285	M₁₆	—	4	8	no	—
286	C₂×C₈	—	2	4	no	—
287	C₂×C₈	—	2	4	no	—
288	C₂×C₈	—	2	4	no	—
289	C₄⋊C₄	—	2	4	no	—
290	C₄⋊C₄	—	2	4	no	—
291	C₄⋊C₄	—	2	4	no	—
292	C₄⋊C₄	—	4	8	no	—
293	C₄⋊C₄	—	4	4	no	—
294	C₄⋊C₄	—	4	8	no	—
295	C₂²⋊C₄	—	4	2	no	—
296	C₂²⋊C₄	—	4	4	no	—
297	C₂²⋊C₄	—	4	4	no	—
298	C₄²	—	2	2	no	—
299	C₄²	—	2	2	no	—
300	C₄²	—	2	4	no	—
301	C₄²	—	4	2	no	—
302	C₂³	—	2	2	no	—
303	C₂³	—	2	2	no	—
304	C₂³	—	2	2	no	—
305	C₂³	—	4	1	no	—
306	C₂³	—	4	1	no	—
307	C₂³	—	4	2	no	—
308	C₂³	—	4	2	no	—
309	C₂³	#121×C₄₁	1	2	yes	—
310	C₂³	#123×C₄₁	1	2	yes	—
311	C₂³	#124×C₄₁	1	2	yes	—
312	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
313	Q₈	—	2	4	no	—
314	Q₈	—	4	2	no	—
315	D₄	—	2	4	no	—
316	D₄	—	4	8	no	—
317	D₄	—	4	2	no	—
318	C₂×C₄	—	2	16	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	4	1	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	8	no	—
327	C₂×C₄	—	4	4	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	8	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	8	8	no	—
333	C₂×C₄	#121×C₄₁	1	2	yes	—
334	C₂×C₄	#123×C₄₁	1	8	yes	—
335	C₂×C₄	#123×C₄₁	1	2	yes	—
336	C₂×C₄	#124×C₄₁	1	2	yes	—
337	C₂×C₄	#126×C₄₁	1	8	yes	—
338	C₂×C₄	AGL(1,ℤ/8)×C₄₁	1	4	yes	—
339	C₂×C₄	#137×C₄₁	1	4	yes	—
340	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
341	C₂×C₄	C₂×#41×C₄₁	1	2	yes	—
342	C₂×C₄	C₂×#41×C₄₁	1	2	yes	—
343	C₂×C₄	C₂×#41×C₄₁	1	1	yes	characteristic
344	C₈	—	4	4	no	—
345	C₂²	—	2	2	no	—
346	C₂²	—	2	2	no	—
347	C₂²	—	2	4	no	—
348	C₂²	—	2	4	no	—
349	C₂²	—	4	2	no	—
350	C₂²	—	4	2	no	—
351	C₂²	—	4	2	no	—
352	C₂²	—	8	2	no	—
353	C₂²	—	8	2	no	—
354	C₂²	C₄₁×#397	1	4	yes	—
355	C₂²	C₂×#121×C₄₁	1	1	yes	characteristic
356	C₂²	C₂×#123×C₄₁	1	1	yes	characteristic
357	C₂²	C₂×#124×C₄₁	1	1	yes	characteristic
358	C₂²	C₂×AGL(1,ℤ/8)×C₄₁	1	2	yes	—
359	C₂²	C₂×#137×C₄₁	1	2	yes	—
360	C₄	—	2	4	no	—
361	C₄	—	2	4	no	—
362	C₄	—	4	2	no	—
363	C₄	—	8	4	no	—
364	C₄	—	8	2	no	—
365	C₄	C₄₁×#397	1	4	yes	—
366	C₄	C₂×#123×C₄₁	1	2	yes	—
367	C₄	C₂×#126×C₄₁	1	2	yes	—
368	C₂	—	2	4	no	—
369	C₂	—	8	2	no	—
370	C₂	C₂×C₄₁×#397	1	1	yes	characteristic
371	C₂	C₄₁×#3038	1	1	yes	characteristic
372	C₂	C₄₁×#3039	1	1	yes	characteristic
373	C₂	C₄₁×#3092	1	2	yes	—
374	C₂	C₄₁×#3141	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₁	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₁
prime radical	C₂²×#41×C₄₁	C₂²
LCS	G ▷ C₂²×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
3. C₂×C₄₁×#384	C₂	semidirect
4. C₄₁×#2072	C₂	semidirect
5. C₄₁×#2071	C₂	semidirect
6. C₄₁×#1736	C₂	semidirect
7. C₄₁×#1728	C₂	semidirect
157. #23630	C₄₁	direct (N × H)
183. C₂×#384	C₂×C₄₁	semidirect
184. #2072	C₂×C₄₁	semidirect
185. #2071	C₂×C₄₁	semidirect
186. #1736	C₂×C₄₁	semidirect
187. #1728	C₂×C₄₁	semidirect
214. C₄₁	#23630	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₄₁×#417	2
C₄₁×#2297	2
C₂×C₄₁×#384	2
C₄₁×#2072	2
C₄₁×#2071	2
C₄₁×#1736	2
C₄₁×#1728	2
#23630	41

Subgroups — C41×#23630 #23799831

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#23630 #23799831