Subgroups — C₂×C₄₁×#1280 #23784106

Order 10496.

1390 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₂²⋊C₈×C₄₁	C₂	1	2	yes	maximal
2	C₂²×#95×C₄₁	C₂	1	1	yes	maximal, characteristic
3	C₄₁×#1280	C₂	1	4	yes	maximal, direct product factor
4	C₂⁴×C₄×C₄₁	C₄	1	2	yes	—
5	C₂⁴×C₄×C₄₁	C₂²	1	1	yes	characteristic
6	C₂³×C₈×C₄₁	—	2	2	no	—
7	C₂×C₂²⋊C₈×C₄₁	—	2	2	no	—
8	C₂×C₂²⋊C₈×C₄₁	—	2	4	no	—
9	C₂×C₂²⋊C₈×C₄₁	C₄	1	8	yes	complemented
10	C₂×C₂²⋊C₈×C₄₁	C₂²	1	4	yes	—
11	C₂×#95×C₄₁	—	2	2	no	—
12	C₂×#95×C₄₁	—	2	2	no	—
13	C₂×#95×C₄₁	C₄	1	2	yes	—
14	C₂×#95×C₄₁	C₂²	1	2	yes	—
15	C₂⁵×C₄₁	C₂×C₄	1	1	yes	characteristic
16	C₂³×C₄×C₄₁	—	2	2	no	—
17	C₂³×C₄×C₄₁	—	2	2	no	—
18	C₂³×C₄×C₄₁	—	2	4	no	—
19	C₂³×C₄×C₄₁	—	4	4	no	—
20	C₂³×C₄×C₄₁	—	4	4	no	—
21	C₂³×C₄×C₄₁	—	4	4	no	—
22	C₂³×C₄×C₄₁	C₈	1	8	yes	complemented
23	C₂³×C₄×C₄₁	C₂×C₄	1	4	yes	—
24	C₂³×C₄×C₄₁	C₂×C₄	1	1	yes	characteristic
25	C₂³×C₄×C₄₁	C₂×C₄	1	4	yes	—
26	C₂³×C₄×C₄₁	D₄	1	2	yes	—
27	C₂³×C₄×C₄₁	D₄	1	2	yes	—
28	C₂³×C₄×C₄₁	D₄	1	2	yes	—
29	C₂³×C₄×C₄₁	Q₈	1	2	yes	—
30	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
31	C₂²×C₈×C₄₁	—	2	8	no	—
32	C₂²×C₈×C₄₁	—	2	4	no	—
33	C₂²×C₈×C₄₁	—	4	8	no	—
34	C₂²⋊C₈×C₄₁	—	2	8	no	—
35	C₂²⋊C₈×C₄₁	—	2	4	no	—
36	C₂²⋊C₈×C₄₁	C₂×C₄	1	8	yes	complemented
37	#95×C₄₁	—	2	4	no	—
38	#95×C₄₁	—	2	4	no	—
39	C₂⁴×C₄₁	—	2	4	no	—
40	C₂⁴×C₄₁	—	2	2	no	—
41	C₂⁴×C₄₁	—	2	2	no	—
42	C₂⁴×C₄₁	C₄²	1	2	yes	—
43	C₂⁴×C₄₁	C₂²⋊C₄	1	1	yes	characteristic
44	C₂⁴×C₄₁	C₂²⋊C₄	1	1	yes	characteristic
45	C₂⁴×C₄₁	C₄⋊C₄	1	2	yes	—
46	C₂⁴×C₄₁	C₂×C₈	1	4	yes	—
47	C₂⁴×C₄₁	M₁₆	1	4	yes	—
48	C₂⁴×C₄₁	C₂²×C₄	1	1	yes	characteristic
49	C₂²×C₄×C₄₁	—	2	8	no	—
50	C₂²×C₄×C₄₁	—	2	8	no	—
51	C₂²×C₄×C₄₁	—	2	8	no	—
52	C₂²×C₄×C₄₁	—	2	4	no	—
53	C₂²×C₄×C₄₁	—	2	4	no	—
54	C₂²×C₄×C₄₁	—	4	8	no	—
55	C₂²×C₄×C₄₁	—	4	2	no	—
56	C₂²×C₄×C₄₁	—	4	4	no	—
57	C₂²×C₄×C₄₁	—	4	4	no	—
58	C₂²×C₄×C₄₁	—	4	4	no	—
59	C₂²×C₄×C₄₁	—	4	2	no	—
60	C₂²×C₄×C₄₁	—	4	16	no	—
61	C₂²×C₄×C₄₁	—	4	4	no	—
62	C₂²×C₄×C₄₁	—	4	4	no	—
63	C₂²×C₄×C₄₁	—	4	4	no	—
64	C₂²×C₄×C₄₁	—	4	4	no	—
65	C₂²×C₄×C₄₁	—	4	16	no	—
66	C₂²×C₄×C₄₁	—	4	4	no	—
67	C₂²×C₄×C₄₁	—	4	4	no	—
68	C₂²×C₄×C₄₁	C₄²	1	2	yes	—
69	C₂²×C₄×C₄₁	C₂²⋊C₄	1	2	yes	—
70	C₂²×C₄×C₄₁	C₂²⋊C₄	1	4	yes	—
71	C₂²×C₄×C₄₁	C₂²⋊C₄	1	4	yes	—
72	C₂²×C₄×C₄₁	C₄⋊C₄	1	4	yes	—
73	C₂²×C₄×C₄₁	C₄⋊C₄	1	2	yes	—
74	C₂²×C₄×C₄₁	C₄⋊C₄	1	4	yes	—
75	C₂²×C₄×C₄₁	C₂×C₈	1	8	yes	complemented
76	C₂²×C₄×C₄₁	C₂²×C₄	1	2	yes	—
77	C₂²×C₄×C₄₁	C₂×D₄	1	2	yes	—
78	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
79	C₂²×C₄×C₄₁	C₂×Q₈	1	1	yes	characteristic
80	C₂×C₈×C₄₁	—	2	8	no	—
81	C₂×C₈×C₄₁	—	4	16	no	—
82	C₂×C₈×C₄₁	—	4	8	no	—
83	C₂³×C₄₁	—	2	8	no	—
84	C₂³×C₄₁	—	2	8	no	—
85	C₂³×C₄₁	—	2	8	no	—
86	C₂³×C₄₁	—	2	8	no	—
87	C₂³×C₄₁	—	2	4	no	—
88	C₂³×C₄₁	—	2	4	no	—
89	C₂³×C₄₁	—	2	4	no	—
90	C₂³×C₄₁	—	2	4	no	—
91	C₂³×C₄₁	—	2	2	no	—
92	C₂³×C₄₁	—	2	2	no	—
93	C₂³×C₄₁	—	2	1	no	—
94	C₂³×C₄₁	—	2	1	no	—
95	C₂³×C₄₁	—	2	1	no	—
96	C₂³×C₄₁	—	2	1	no	—
97	C₂³×C₄₁	#95	1	2	yes	—
98	C₂³×C₄₁	#95	1	2	yes	—
99	C₂³×C₄₁	C₄×C₈	1	4	yes	—
100	C₂³×C₄₁	#97	1	4	yes	—
101	C₂³×C₄₁	C₂²⋊C₈	1	4	yes	—
102	C₂³×C₄₁	C₂²⋊C₈	1	4	yes	—
103	C₂³×C₄₁	#99	1	4	yes	—
104	C₂³×C₄₁	#100	1	2	yes	—
105	C₂³×C₄₁	#101	1	2	yes	—
106	C₂³×C₄₁	C₄⋊C₈	1	8	yes	—
107	C₂³×C₄₁	C₂×C₄²	1	1	yes	characteristic
108	C₂³×C₄₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
109	C₂³×C₄₁	C₂×C₄⋊C₄	1	1	yes	characteristic
110	C₂³×C₄₁	C₂²×C₈	1	2	yes	—
111	C₂³×C₄₁	C₂×M₁₆	1	2	yes	—
112	C₂×C₄×C₄₁	—	2	8	no	—
113	C₂×C₄×C₄₁	—	2	8	no	—
114	C₂×C₄×C₄₁	—	2	4	no	—
115	C₂×C₄×C₄₁	—	2	4	no	—
116	C₂×C₄×C₄₁	—	2	8	no	—
117	C₂×C₄×C₄₁	—	4	2	no	—
118	C₂×C₄×C₄₁	—	4	4	no	—
119	C₂×C₄×C₄₁	—	4	2	no	—
120	C₂×C₄×C₄₁	—	4	4	no	—
121	C₂×C₄×C₄₁	—	4	2	no	—
122	C₂×C₄×C₄₁	—	4	1	no	—
123	C₂×C₄×C₄₁	—	4	1	no	—
124	C₂×C₄×C₄₁	—	4	16	no	—
125	C₂×C₄×C₄₁	—	4	8	no	—
126	C₂×C₄×C₄₁	—	4	16	no	—
127	C₂×C₄×C₄₁	—	4	4	no	—
128	C₂×C₄×C₄₁	—	4	4	no	—
129	C₂×C₄×C₄₁	—	4	8	no	—
130	C₂×C₄×C₄₁	#95	1	4	yes	—
131	C₂×C₄×C₄₁	C₂×C₂²⋊C₄	1	2	yes	—
132	C₂×C₄×C₄₁	C₂×C₄⋊C₄	1	2	yes	—
133	C₈×C₄₁	—	4	8	no	—
134	C₂×#1280	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
135	C₂²×C₄₁	—	2	8	no	—
136	C₂²×C₄₁	—	2	8	no	—
137	C₂²×C₄₁	—	2	16	no	—
138	C₂²×C₄₁	—	2	4	no	—
139	C₂²×C₄₁	—	2	2	no	—
140	C₂²×C₄₁	—	2	2	no	—
141	C₂²×C₄₁	—	2	4	no	—
142	C₂²×C₄₁	—	2	2	no	—
143	C₂²×C₄₁	—	2	2	no	—
144	C₂²×C₄₁	—	2	2	no	—
145	C₂²×C₄₁	—	2	1	no	—
146	C₂²×C₄₁	—	2	1	no	—
147	C₂²×C₄₁	—	2	2	no	—
148	C₂²×C₄₁	—	2	1	no	—
149	C₂²×C₄₁	—	2	1	no	—
150	C₂²×C₄₁	#323	1	8	yes	—
151	C₂²×C₄₁	#324	1	8	yes	—
152	C₂²×C₄₁	#336	1	4	yes	—
153	C₂²×C₄₁	#336	1	4	yes	—
154	C₂²×C₄₁	#342	1	4	yes	—
155	C₂²×C₄₁	#343	1	4	yes	—
156	C₂²×C₄₁	C₂×#95	1	1	yes	characteristic
157	C₂²×C₄₁	C₂×C₄×C₈	1	1	yes	characteristic
158	C₂²×C₄₁	C₂×#97	1	1	yes	characteristic
159	C₂²×C₄₁	C₂×C₂²⋊C₈	1	2	yes	—
160	C₂²×C₄₁	C₂×#99	1	2	yes	—
161	C₂²×C₄₁	C₂×#100	1	1	yes	characteristic
162	C₂²×C₄₁	C₂×#101	1	1	yes	characteristic
163	C₂²×C₄₁	C₂×C₄⋊C₈	1	2	yes	—
164	C₄×C₄₁	—	2	2	no	—
165	C₄×C₄₁	—	2	4	no	—
166	C₄×C₄₁	—	2	2	no	—
167	C₄×C₄₁	—	4	8	no	—
168	C₂²×C₂²⋊C₈	C₂×C₄₁	1	2	yes	—
169	C₂²×#95	C₂×C₄₁	1	1	yes	characteristic
170	#1280	C₂×C₄₁	1	4	yes	direct product factor
171	C₂×C₄₁	—	2	4	no	—
172	C₂×C₄₁	—	2	1	no	—
173	C₂×C₄₁	—	2	1	no	—
174	C₂×C₄₁	—	2	2	no	—
175	C₂×C₄₁	#1280	1	8	yes	direct product factor
176	C₂×C₄₁	C₂×#323	1	2	yes	—
177	C₂×C₄₁	C₂×#324	1	2	yes	—
178	C₂×C₄₁	C₂×#336	1	1	yes	characteristic
179	C₂×C₄₁	C₂×#342	1	1	yes	characteristic
180	C₂×C₄₁	C₂×#343	1	1	yes	characteristic
181	C₂⁴×C₄	C₄×C₄₁	1	2	yes	—
182	C₂⁴×C₄	C₂²×C₄₁	1	1	yes	characteristic
183	C₂³×C₈	—	2	2	no	—
184	C₂×C₂²⋊C₈	—	2	2	no	—
185	C₂×C₂²⋊C₈	—	2	4	no	—
186	C₂×C₂²⋊C₈	C₄×C₄₁	1	8	yes	complemented
187	C₂×C₂²⋊C₈	C₂²×C₄₁	1	4	yes	—
188	C₂×#95	—	2	2	no	—
189	C₂×#95	—	2	2	no	—
190	C₂×#95	C₄×C₄₁	1	2	yes	—
191	C₂×#95	C₂²×C₄₁	1	2	yes	—
192	C₄₁	C₂×#1280	1	1	yes	characteristic, direct product factor, Sylow
193	C₂⁵	C₂×C₄×C₄₁	1	1	yes	characteristic
194	C₂³×C₄	—	2	2	no	—
195	C₂³×C₄	—	2	2	no	—
196	C₂³×C₄	—	2	4	no	—
197	C₂³×C₄	—	4	4	no	—
198	C₂³×C₄	—	4	4	no	—
199	C₂³×C₄	—	4	4	no	—
200	C₂³×C₄	C₈×C₄₁	1	8	yes	complemented
201	C₂³×C₄	C₂×C₄×C₄₁	1	4	yes	—
202	C₂³×C₄	C₂×C₄×C₄₁	1	1	yes	characteristic
203	C₂³×C₄	C₂×C₄×C₄₁	1	4	yes	—
204	C₂³×C₄	D₄×C₄₁	1	2	yes	—
205	C₂³×C₄	D₄×C₄₁	1	2	yes	—
206	C₂³×C₄	D₄×C₄₁	1	2	yes	—
207	C₂³×C₄	Q₈×C₄₁	1	2	yes	—
208	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
209	C₂²×C₈	—	2	8	no	—
210	C₂²×C₈	—	2	4	no	—
211	C₂²×C₈	—	4	8	no	—
212	C₂²⋊C₈	—	2	8	no	—
213	C₂²⋊C₈	—	2	4	no	—
214	C₂²⋊C₈	C₂×C₄×C₄₁	1	8	yes	complemented
215	#95	—	2	4	no	—
216	#95	—	2	4	no	—
217	C₂⁴	—	2	4	no	—
218	C₂⁴	—	2	2	no	—
219	C₂⁴	—	2	2	no	—
220	C₂⁴	C₄²×C₄₁	1	2	yes	—
221	C₂⁴	C₂²⋊C₄×C₄₁	1	1	yes	characteristic
222	C₂⁴	C₂²⋊C₄×C₄₁	1	1	yes	characteristic
223	C₂⁴	C₄⋊C₄×C₄₁	1	2	yes	—
224	C₂⁴	C₂×C₈×C₄₁	1	4	yes	—
225	C₂⁴	M₁₆×C₄₁	1	4	yes	—
226	C₂⁴	C₂²×C₄×C₄₁	1	1	yes	characteristic
227	C₂²×C₄	—	2	8	no	—
228	C₂²×C₄	—	2	8	no	—
229	C₂²×C₄	—	2	8	no	—
230	C₂²×C₄	—	2	4	no	—
231	C₂²×C₄	—	2	4	no	—
232	C₂²×C₄	—	4	8	no	—
233	C₂²×C₄	—	4	2	no	—
234	C₂²×C₄	—	4	4	no	—
235	C₂²×C₄	—	4	4	no	—
236	C₂²×C₄	—	4	4	no	—
237	C₂²×C₄	—	4	2	no	—
238	C₂²×C₄	—	4	16	no	—
239	C₂²×C₄	—	4	4	no	—
240	C₂²×C₄	—	4	4	no	—
241	C₂²×C₄	—	4	4	no	—
242	C₂²×C₄	—	4	4	no	—
243	C₂²×C₄	—	4	16	no	—
244	C₂²×C₄	—	4	4	no	—
245	C₂²×C₄	—	4	4	no	—
246	C₂²×C₄	C₄²×C₄₁	1	2	yes	—
247	C₂²×C₄	C₂²⋊C₄×C₄₁	1	2	yes	—
248	C₂²×C₄	C₂²⋊C₄×C₄₁	1	4	yes	—
249	C₂²×C₄	C₂²⋊C₄×C₄₁	1	4	yes	—
250	C₂²×C₄	C₄⋊C₄×C₄₁	1	4	yes	—
251	C₂²×C₄	C₄⋊C₄×C₄₁	1	2	yes	—
252	C₂²×C₄	C₄⋊C₄×C₄₁	1	4	yes	—
253	C₂²×C₄	C₂×C₈×C₄₁	1	8	yes	complemented
254	C₂²×C₄	C₂²×C₄×C₄₁	1	2	yes	—
255	C₂²×C₄	C₂×D₄×C₄₁	1	2	yes	—
256	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
257	C₂²×C₄	C₂×Q₈×C₄₁	1	1	yes	characteristic
258	C₂×C₈	—	2	8	no	—
259	C₂×C₈	—	4	16	no	—
260	C₂×C₈	—	4	8	no	—
261	C₂³	—	2	8	no	—
262	C₂³	—	2	8	no	—
263	C₂³	—	2	8	no	—
264	C₂³	—	2	8	no	—
265	C₂³	—	2	4	no	—
266	C₂³	—	2	4	no	—
267	C₂³	—	2	4	no	—
268	C₂³	—	2	4	no	—
269	C₂³	—	2	2	no	—
270	C₂³	—	2	2	no	—
271	C₂³	—	2	1	no	—
272	C₂³	—	2	1	no	—
273	C₂³	—	2	1	no	—
274	C₂³	—	2	1	no	—
275	C₂³	#95×C₄₁	1	2	yes	—
276	C₂³	#95×C₄₁	1	2	yes	—
277	C₂³	C₄×C₈×C₄₁	1	4	yes	—
278	C₂³	#97×C₄₁	1	4	yes	—
279	C₂³	C₂²⋊C₈×C₄₁	1	4	yes	—
280	C₂³	C₂²⋊C₈×C₄₁	1	4	yes	—
281	C₂³	#99×C₄₁	1	4	yes	—
282	C₂³	#100×C₄₁	1	2	yes	—
283	C₂³	#101×C₄₁	1	2	yes	—
284	C₂³	C₄⋊C₈×C₄₁	1	8	yes	—
285	C₂³	C₂×C₄²×C₄₁	1	1	yes	characteristic
286	C₂³	C₂×C₂²⋊C₄×C₄₁	1	1	yes	characteristic
287	C₂³	C₂×C₄⋊C₄×C₄₁	1	1	yes	characteristic
288	C₂³	C₂²×C₈×C₄₁	1	2	yes	—
289	C₂³	C₂×M₁₆×C₄₁	1	2	yes	—
290	C₂×C₄	—	2	8	no	—
291	C₂×C₄	—	2	8	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	8	no	—
295	C₂×C₄	—	4	2	no	—
296	C₂×C₄	—	4	4	no	—
297	C₂×C₄	—	4	2	no	—
298	C₂×C₄	—	4	4	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	1	no	—
301	C₂×C₄	—	4	1	no	—
302	C₂×C₄	—	4	16	no	—
303	C₂×C₄	—	4	8	no	—
304	C₂×C₄	—	4	16	no	—
305	C₂×C₄	—	4	4	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	4	8	no	—
308	C₂×C₄	#95×C₄₁	1	4	yes	—
309	C₂×C₄	C₂×C₂²⋊C₄×C₄₁	1	2	yes	—
310	C₂×C₄	C₂×C₄⋊C₄×C₄₁	1	2	yes	—
311	C₈	—	4	8	no	—
312	C₂²	—	2	8	no	—
313	C₂²	—	2	8	no	—
314	C₂²	—	2	16	no	—
315	C₂²	—	2	4	no	—
316	C₂²	—	2	2	no	—
317	C₂²	—	2	2	no	—
318	C₂²	—	2	4	no	—
319	C₂²	—	2	2	no	—
320	C₂²	—	2	2	no	—
321	C₂²	—	2	2	no	—
322	C₂²	—	2	1	no	—
323	C₂²	—	2	1	no	—
324	C₂²	—	2	2	no	—
325	C₂²	—	2	1	no	—
326	C₂²	—	2	1	no	—
327	C₂²	C₄₁×#323	1	8	yes	—
328	C₂²	C₄₁×#324	1	8	yes	—
329	C₂²	C₄₁×#336	1	4	yes	—
330	C₂²	C₄₁×#336	1	4	yes	—
331	C₂²	C₄₁×#342	1	4	yes	—
332	C₂²	C₄₁×#343	1	4	yes	—
333	C₂²	C₂×#95×C₄₁	1	1	yes	characteristic
334	C₂²	C₂×C₄×C₈×C₄₁	1	1	yes	characteristic
335	C₂²	C₂×#97×C₄₁	1	1	yes	characteristic
336	C₂²	C₂×C₂²⋊C₈×C₄₁	1	2	yes	—
337	C₂²	C₂×#99×C₄₁	1	2	yes	—
338	C₂²	C₂×#100×C₄₁	1	1	yes	characteristic
339	C₂²	C₂×#101×C₄₁	1	1	yes	characteristic
340	C₂²	C₂×C₄⋊C₈×C₄₁	1	2	yes	—
341	C₄	—	2	2	no	—
342	C₄	—	2	4	no	—
343	C₄	—	2	2	no	—
344	C₄	—	4	8	no	—
345	C₂	—	2	4	no	—
346	C₂	—	2	1	no	—
347	C₂	—	2	1	no	—
348	C₂	—	2	2	no	—
349	C₂	C₄₁×#1280	1	8	yes	direct product factor
350	C₂	C₂×C₄₁×#323	1	2	yes	—
351	C₂	C₂×C₄₁×#324	1	2	yes	—
352	C₂	C₂×C₄₁×#336	1	1	yes	characteristic
353	C₂	C₂×C₄₁×#342	1	1	yes	characteristic
354	C₂	C₂×C₄₁×#343	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₄₁	C₂²⋊C₄
commutator	C₂²	C₂×C₄×C₈×C₄₁
Frattini, cosocle	C₂³×C₄	C₂³×C₄₁
prime radical	C₂⁵×C₄₁	C₂×C₄
LCS	G ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₄₁ ◁ C₂⁴×C₄×C₄₁ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₄₁×#1280	C₂	direct (N × H)
9. C₂×C₂²⋊C₈×C₄₁	C₄	semidirect
22. C₂³×C₄×C₄₁	C₈	semidirect
36. C₂²⋊C₈×C₄₁	C₂×C₄	semidirect
75. C₂²×C₄×C₄₁	C₂×C₈	semidirect
134. C₂×#1280	C₄₁	direct (N × H)
170. #1280	C₂×C₄₁	direct (N × H)
175. C₂×C₄₁	#1280	direct (N × H)
186. C₂×C₂²⋊C₈	C₄×C₄₁	semidirect
192. C₄₁	C₂×#1280	direct (N × H)
200. C₂³×C₄	C₈×C₄₁	semidirect
214. C₂²⋊C₈	C₂×C₄×C₄₁	semidirect
253. C₂²×C₄	C₂×C₈×C₄₁	semidirect
349. C₂	C₄₁×#1280	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₂²⋊C₈×C₄₁	2
C₂²×#95×C₄₁	2
C₄₁×#1280	2
C₂×#1280	41

Subgroups — C2×C41×#1280 #23784106

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₄₁×#1280 #23784106