Subgroups — C₄₁×#25398 #23801599

Order 10496.

984 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₁×#470	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄₁×#467	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄₁×#462	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄₁×#435	C₂	1	1	yes	maximal, characteristic
5	C₄₁×#2542	C₂	1	1	yes	maximal, characteristic
6	C₄₁×#2536	C₂	1	1	yes	maximal, characteristic
7	C₄₁×#2036	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#2035	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#2001	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#2001	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₁×#1960	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₁×#1949	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#1894	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#1892	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#1763	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic
17	C₂²×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic
18	C₂²×M₁₆×C₄₁	C₂²	1	1	yes	characteristic
19	C₂³×C₈×C₄₁	C₂²	1	1	yes	characteristic
20	C₂×C₄⋊Q₈×C₄₁	C₂²	1	1	yes	characteristic
21	C₂×C₂²⋊Q₈×C₄₁	C₂²	1	1	yes	characteristic
22	C₂×C₂²⋊Q₈×C₄₁	C₂²	1	1	yes	characteristic
23	C₂×C₂²⋊Q₈×C₄₁	C₂²	1	1	yes	characteristic
24	C₂×C₂²⋊Q₈×C₄₁	C₂²	1	1	yes	characteristic
25	C₂×C₂²⋊Q₈×C₄₁	C₂²	1	1	yes	characteristic
26	C₂×C₂²⋊Q₈×C₄₁	C₂²	1	1	yes	characteristic
27	C₂×C₄×Q₈×C₄₁	C₂²	1	1	yes	characteristic
28	C₂×C₄×D₄×C₄₁	C₂²	1	1	yes	characteristic
29	C₄₁×#470	—	2	4	no	—
30	C₄₁×#467	—	2	4	no	—
31	C₄₁×#462	—	2	4	no	—
32	C₄₁×#435	—	2	4	no	—
33	C₂×#107×C₄₁	C₂²	1	1	yes	characteristic
34	C₂×#106×C₄₁	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₈×C₄₁	C₂²	1	1	yes	characteristic
36	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
37	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
38	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
39	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
40	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
41	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
42	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
43	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₈×C₄₁	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₈×C₄₁	C₂²	1	1	yes	characteristic
46	C₂×#97×C₄₁	C₂²	1	1	yes	characteristic
47	C₄₁×#399	—	2	1	no	—
48	C₄₁×#399	—	2	1	no	—
49	C₄₁×#398	—	2	1	no	—
50	C₄₁×#394	—	2	1	no	—
51	C₄₁×#390	—	2	1	no	—
52	C₄₁×#388	—	2	1	no	—
53	C₄₁×#388	—	2	1	no	—
54	C₄₁×#384	—	2	1	no	—
55	C₄₁×#382	C₂²	1	1	yes	characteristic
56	C₄₁×#380	C₂²	1	1	yes	characteristic
57	C₄₁×#380	C₂²	1	1	yes	characteristic
58	C₄×C₄⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
59	C₄₁×#340	C₂²	1	1	yes	characteristic
60	C₄₁×#340	C₂²	1	1	yes	characteristic
61	C₄₁×#340	C₂²	1	1	yes	characteristic
62	C₄₁×#340	C₂²	1	1	yes	characteristic
63	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
64	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
65	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
66	C₂²×D₄×C₄₁	D₄	1	1	yes	characteristic
67	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
68	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
69	C₂×Q₁₆×C₄₁	—	2	2	no	—
70	C₂×Q₁₆×C₄₁	—	2	2	no	—
71	C₂×Q₁₆×C₄₁	—	2	2	no	—
72	C₂×Q₁₆×C₄₁	—	2	2	no	—
73	C₂×Q₁₆×C₄₁	—	4	1	no	—
74	C₂×Q₁₆×C₄₁	—	4	1	no	—
75	C₂×M₁₆×C₄₁	—	2	2	no	—
76	C₂×M₁₆×C₄₁	—	2	2	no	—
77	C₂×M₁₆×C₄₁	—	4	1	no	—
78	C₂²×C₈×C₄₁	—	2	2	no	—
79	C₂²×C₈×C₄₁	—	2	2	no	—
80	C₂²×C₈×C₄₁	—	4	1	no	—
81	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
82	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
83	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
84	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
85	C₄⋊Q₈×C₄₁	—	2	2	no	—
86	C₄⋊Q₈×C₄₁	—	2	2	no	—
87	C₂²⋊Q₈×C₄₁	—	2	2	no	—
88	C₂²⋊Q₈×C₄₁	—	2	2	no	—
89	C₂²⋊Q₈×C₄₁	—	2	2	no	—
90	C₂²⋊Q₈×C₄₁	—	2	2	no	—
91	C₂²⋊Q₈×C₄₁	—	2	2	no	—
92	C₂²⋊Q₈×C₄₁	—	2	2	no	—
93	C₂²⋊Q₈×C₄₁	—	4	1	no	—
94	C₂²⋊Q₈×C₄₁	—	4	1	no	—
95	C₂²⋊Q₈×C₄₁	—	4	1	no	—
96	C₂²⋊Q₈×C₄₁	—	4	1	no	—
97	C₂²⋊Q₈×C₄₁	—	4	1	no	—
98	C₂²⋊Q₈×C₄₁	—	4	1	no	—
99	C₄×Q₈×C₄₁	—	2	2	no	—
100	C₄×Q₈×C₄₁	—	2	2	no	—
101	C₄×D₄×C₄₁	—	2	2	no	—
102	C₄×D₄×C₄₁	—	2	2	no	—
103	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
104	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
105	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
106	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
107	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
108	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
109	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
110	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
111	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
112	C₂×C₄⋊C₄×C₄₁	D₄	1	1	yes	characteristic
113	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
114	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
115	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
116	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
117	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
118	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
119	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
120	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
121	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
122	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
123	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
124	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
125	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
126	C₂×C₂²⋊C₄×C₄₁	D₄	1	1	yes	characteristic
127	C₂×C₂²⋊C₄×C₄₁	D₄	1	1	yes	characteristic
128	C₂×C₄²×C₄₁	—	2	1	no	—
129	C₂×C₄²×C₄₁	—	2	1	no	—
130	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
131	#107×C₄₁	—	2	2	no	—
132	#106×C₄₁	—	2	2	no	—
133	C₄⋊C₈×C₄₁	D₄	1	4	yes	—
134	#103×C₄₁	—	2	2	no	—
135	#103×C₄₁	—	2	2	no	—
136	#103×C₄₁	—	2	2	no	—
137	#103×C₄₁	—	2	2	no	—
138	#103×C₄₁	—	2	2	no	—
139	#103×C₄₁	—	4	1	no	—
140	#103×C₄₁	—	4	1	no	—
141	#103×C₄₁	D₄	1	4	yes	complemented
142	C₂²⋊C₈×C₄₁	—	2	2	no	—
143	C₂²⋊C₈×C₄₁	—	2	2	no	—
144	#97×C₄₁	—	2	2	no	—
145	#95×C₄₁	—	2	1	no	—
146	#95×C₄₁	—	2	1	no	—
147	#95×C₄₁	—	2	1	no	—
148	#95×C₄₁	—	2	1	no	—
149	#95×C₄₁	—	2	1	no	—
150	C₂⁴×C₄₁	C₂×D₄	1	1	yes	characteristic
151	C₂⁴×C₄₁	C₂×D₄	1	1	yes	characteristic
152	C₂×Q₈×C₄₁	—	2	1	no	—
153	C₂×Q₈×C₄₁	—	2	1	no	—
154	C₂×Q₈×C₄₁	—	2	1	no	—
155	C₂×Q₈×C₄₁	—	2	1	no	—
156	C₂×Q₈×C₄₁	—	2	1	no	—
157	C₂×Q₈×C₄₁	—	2	1	no	—
158	C₂×Q₈×C₄₁	—	2	1	no	—
159	C₂×Q₈×C₄₁	—	2	1	no	—
160	C₂×Q₈×C₄₁	—	2	1	no	—
161	C₂×Q₈×C₄₁	—	2	1	no	—
162	C₂×Q₈×C₄₁	—	2	1	no	—
163	C₂×Q₈×C₄₁	—	2	1	no	—
164	C₂×Q₈×C₄₁	—	2	1	no	—
165	C₂×Q₈×C₄₁	—	2	1	no	—
166	C₂×Q₈×C₄₁	—	2	1	no	—
167	C₂×Q₈×C₄₁	—	2	1	no	—
168	C₂×Q₈×C₄₁	—	2	1	no	—
169	C₂×Q₈×C₄₁	C₂×D₄	1	2	yes	—
170	C₂×D₄×C₄₁	—	2	2	no	—
171	C₂×D₄×C₄₁	—	2	2	no	—
172	C₂×D₄×C₄₁	—	4	1	no	—
173	C₂²×C₄×C₄₁	—	2	1	no	—
174	C₂²×C₄×C₄₁	—	2	1	no	—
175	C₂²×C₄×C₄₁	—	2	1	no	—
176	C₂²×C₄×C₄₁	—	2	1	no	—
177	C₂²×C₄×C₄₁	—	2	1	no	—
178	C₂²×C₄×C₄₁	—	2	1	no	—
179	C₂²×C₄×C₄₁	—	2	1	no	—
180	C₂²×C₄×C₄₁	—	2	1	no	—
181	C₂²×C₄×C₄₁	—	2	1	no	—
182	C₂²×C₄×C₄₁	—	2	1	no	—
183	C₂²×C₄×C₄₁	—	2	1	no	—
184	C₂²×C₄×C₄₁	—	2	1	no	—
185	C₂²×C₄×C₄₁	—	2	1	no	—
186	C₂²×C₄×C₄₁	—	2	1	no	—
187	C₂²×C₄×C₄₁	—	2	1	no	—
188	C₂²×C₄×C₄₁	—	2	1	no	—
189	C₂²×C₄×C₄₁	—	2	1	no	—
190	C₂²×C₄×C₄₁	—	2	1	no	—
191	C₂²×C₄×C₄₁	—	2	1	no	—
192	C₂²×C₄×C₄₁	—	2	1	no	—
193	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
194	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
195	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
197	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
198	Q₁₆×C₄₁	—	4	4	no	—
199	Q₁₆×C₄₁	—	4	4	no	—
200	M₁₆×C₄₁	—	4	4	no	—
201	C₂×C₈×C₄₁	—	2	1	no	—
202	C₂×C₈×C₄₁	—	2	1	no	—
203	C₂×C₈×C₄₁	—	2	1	no	—
204	C₂×C₈×C₄₁	—	2	1	no	—
205	C₂×C₈×C₄₁	—	2	1	no	—
206	C₂×C₈×C₄₁	—	2	1	no	—
207	C₂×C₈×C₄₁	—	2	1	no	—
208	C₂×C₈×C₄₁	—	2	1	no	—
209	C₂×C₈×C₄₁	—	2	1	no	—
210	C₂×C₈×C₄₁	—	4	4	no	—
211	C₂×C₈×C₄₁	C₂×D₄	1	2	yes	—
212	C₂×C₈×C₄₁	C₂×D₄	1	2	yes	—
213	C₂×C₈×C₄₁	C₂×D₄	1	2	yes	—
214	C₄⋊C₄×C₄₁	—	2	2	no	—
215	C₄⋊C₄×C₄₁	—	2	1	no	—
216	C₄⋊C₄×C₄₁	—	2	1	no	—
217	C₄⋊C₄×C₄₁	—	2	1	no	—
218	C₄⋊C₄×C₄₁	—	2	1	no	—
219	C₄⋊C₄×C₄₁	—	2	1	no	—
220	C₄⋊C₄×C₄₁	—	2	1	no	—
221	C₄⋊C₄×C₄₁	—	2	1	no	—
222	C₄⋊C₄×C₄₁	—	2	1	no	—
223	C₄⋊C₄×C₄₁	—	4	2	no	—
224	C₄⋊C₄×C₄₁	—	4	2	no	—
225	C₄⋊C₄×C₄₁	—	4	2	no	—
226	C₄⋊C₄×C₄₁	—	4	2	no	—
227	C₄⋊C₄×C₄₁	—	4	2	no	—
228	C₄⋊C₄×C₄₁	—	4	2	no	—
229	C₄⋊C₄×C₄₁	—	4	2	no	—
230	C₄⋊C₄×C₄₁	—	4	2	no	—
231	C₄⋊C₄×C₄₁	—	4	2	no	—
232	C₄⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
233	C₄⋊C₄×C₄₁	#41	1	2	yes	—
234	C₂²⋊C₄×C₄₁	—	2	2	no	—
235	C₂²⋊C₄×C₄₁	—	2	2	no	—
236	C₂²⋊C₄×C₄₁	—	4	2	no	—
237	C₂²⋊C₄×C₄₁	—	4	2	no	—
238	C₂²⋊C₄×C₄₁	—	4	2	no	—
239	C₂²⋊C₄×C₄₁	—	4	2	no	—
240	C₂²⋊C₄×C₄₁	—	4	2	no	—
241	C₂²⋊C₄×C₄₁	—	4	2	no	—
242	C₂²⋊C₄×C₄₁	—	4	2	no	—
243	C₂²⋊C₄×C₄₁	—	4	2	no	—
244	C₄²×C₄₁	—	4	2	no	—
245	C₄²×C₄₁	—	4	2	no	—
246	C₄²×C₄₁	C₂×D₄	1	2	yes	—
247	C₄²×C₄₁	#41	1	2	yes	—
248	C₂³×C₄₁	—	2	1	no	—
249	C₂³×C₄₁	—	2	1	no	—
250	C₂³×C₄₁	—	2	1	no	—
251	C₂³×C₄₁	—	2	1	no	—
252	C₂³×C₄₁	—	2	1	no	—
253	C₂³×C₄₁	—	2	1	no	—
254	C₂³×C₄₁	—	2	1	no	—
255	C₂³×C₄₁	—	2	1	no	—
256	C₂³×C₄₁	—	2	1	no	—
257	C₂³×C₄₁	—	2	1	no	—
258	C₂³×C₄₁	—	2	1	no	—
259	C₂³×C₄₁	—	2	1	no	—
260	C₂³×C₄₁	—	2	1	no	—
261	C₂³×C₄₁	#137	1	2	yes	—
262	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
263	Q₈×C₄₁	—	2	2	no	—
264	Q₈×C₄₁	—	2	2	no	—
265	Q₈×C₄₁	—	4	1	no	—
266	Q₈×C₄₁	—	4	1	no	—
267	Q₈×C₄₁	—	4	1	no	—
268	Q₈×C₄₁	—	4	1	no	—
269	Q₈×C₄₁	—	4	1	no	—
270	Q₈×C₄₁	—	4	1	no	—
271	Q₈×C₄₁	—	4	1	no	—
272	Q₈×C₄₁	—	4	1	no	—
273	Q₈×C₄₁	—	4	1	no	—
274	Q₈×C₄₁	—	4	1	no	—
275	D₄×C₄₁	—	4	4	no	—
276	C₂×C₄×C₄₁	—	2	1	no	—
277	C₂×C₄×C₄₁	—	2	1	no	—
278	C₂×C₄×C₄₁	—	2	1	no	—
279	C₂×C₄×C₄₁	—	2	1	no	—
280	C₂×C₄×C₄₁	—	2	1	no	—
281	C₂×C₄×C₄₁	—	2	1	no	—
282	C₂×C₄×C₄₁	—	2	2	no	—
283	C₂×C₄×C₄₁	—	2	2	no	—
284	C₂×C₄×C₄₁	—	2	1	no	—
285	C₂×C₄×C₄₁	—	2	1	no	—
286	C₂×C₄×C₄₁	—	2	2	no	—
287	C₂×C₄×C₄₁	—	2	1	no	—
288	C₂×C₄×C₄₁	—	2	1	no	—
289	C₂×C₄×C₄₁	—	4	1	no	—
290	C₂×C₄×C₄₁	—	4	1	no	—
291	C₂×C₄×C₄₁	—	4	1	no	—
292	C₂×C₄×C₄₁	—	4	1	no	—
293	C₂×C₄×C₄₁	—	4	1	no	—
294	C₂×C₄×C₄₁	—	4	1	no	—
295	C₂×C₄×C₄₁	—	4	1	no	—
296	C₂×C₄×C₄₁	—	4	1	no	—
297	C₂×C₄×C₄₁	—	4	1	no	—
298	C₂×C₄×C₄₁	—	4	1	no	—
299	C₂×C₄×C₄₁	—	4	1	no	—
300	C₂×C₄×C₄₁	—	4	1	no	—
301	C₂×C₄×C₄₁	—	4	1	no	—
302	C₂×C₄×C₄₁	—	4	1	no	—
303	C₂×C₄×C₄₁	—	4	1	no	—
304	C₂×C₄×C₄₁	—	4	1	no	—
305	C₂×C₄×C₄₁	—	4	1	no	—
306	C₂×C₄×C₄₁	—	4	1	no	—
307	C₂×C₄×C₄₁	—	4	1	no	—
308	C₂×C₄×C₄₁	—	4	1	no	—
309	C₂×C₄×C₄₁	—	4	1	no	—
310	C₂×C₄×C₄₁	—	4	1	no	—
311	C₂×C₄×C₄₁	—	4	1	no	—
312	C₂×C₄×C₄₁	—	4	1	no	—
313	C₂×C₄×C₄₁	—	4	1	no	—
314	C₂×C₄×C₄₁	—	4	1	no	—
315	C₂×C₄×C₄₁	—	4	1	no	—
316	C₂×C₄×C₄₁	—	4	1	no	—
317	C₂×C₄×C₄₁	—	4	1	no	—
318	C₂×C₄×C₄₁	#121	1	2	yes	—
319	C₂×C₄×C₄₁	#121	1	2	yes	—
320	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
321	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
322	C₂×C₄×C₄₁	C₂×#41	1	1	yes	characteristic
323	C₂×C₄×C₄₁	C₂×#41	1	1	yes	characteristic
324	C₂×C₄×C₄₁	H(5,𝔽₂)	1	1	yes	characteristic
325	C₂×C₄×C₄₁	H(5,𝔽₂)	1	1	yes	characteristic
326	C₈×C₄₁	—	2	2	no	—
327	C₈×C₄₁	—	2	2	no	—
328	C₈×C₄₁	—	2	2	no	—
329	C₈×C₄₁	—	4	1	no	—
330	#25398	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
331	C₂²×C₄₁	—	2	2	no	—
332	C₂²×C₄₁	—	2	2	no	—
333	C₂²×C₄₁	—	2	2	no	—
334	C₂²×C₄₁	—	4	1	no	—
335	C₂²×C₄₁	—	4	1	no	—
336	C₂²×C₄₁	—	4	1	no	—
337	C₂²×C₄₁	—	4	1	no	—
338	C₂²×C₄₁	—	4	1	no	—
339	C₂²×C₄₁	—	4	1	no	—
340	C₂²×C₄₁	—	4	1	no	—
341	C₂²×C₄₁	—	4	1	no	—
342	C₂²×C₄₁	—	4	1	no	—
343	C₂²×C₄₁	—	4	1	no	—
344	C₂²×C₄₁	—	4	1	no	—
345	C₂²×C₄₁	C₂×#121	1	1	yes	characteristic
346	C₂²×C₄₁	D₄²	1	1	yes	characteristic
347	C₂²×C₄₁	#546	1	1	yes	characteristic
348	C₂²×C₄₁	C₂×#137	1	1	yes	characteristic
349	C₂²×C₄₁	#575	1	1	yes	characteristic
350	C₂²×C₄₁	#578	1	1	yes	characteristic
351	C₂²×C₄₁	#578	1	1	yes	characteristic
352	C₄×C₄₁	—	2	2	no	—
353	C₄×C₄₁	—	2	2	no	—
354	C₄×C₄₁	—	4	1	no	—
355	C₄×C₄₁	—	4	1	no	—
356	C₄×C₄₁	—	4	2	no	—
357	C₄×C₄₁	—	4	2	no	—
358	C₄×C₄₁	—	4	2	no	—
359	C₄×C₄₁	—	8	1	no	—
360	C₄×C₄₁	—	8	1	no	—
361	C₄×C₄₁	—	8	1	no	—
362	C₄×C₄₁	—	8	1	no	—
363	C₄×C₄₁	—	8	1	no	—
364	C₄×C₄₁	#532	1	1	yes	characteristic
365	C₄×C₄₁	#540	1	1	yes	characteristic
366	C₄×C₄₁	D₄²	1	1	yes	characteristic
367	C₄×C₄₁	#550	1	1	yes	characteristic
368	C₂×#470	C₂×C₄₁	1	1	yes	characteristic, complemented
369	C₂×#467	C₂×C₄₁	1	1	yes	characteristic, complemented
370	C₂×#462	C₂×C₄₁	1	1	yes	characteristic, complemented
371	C₂×#435	C₂×C₄₁	1	1	yes	characteristic
372	#2542	C₂×C₄₁	1	1	yes	characteristic
373	#2536	C₂×C₄₁	1	1	yes	characteristic
374	#2036	C₂×C₄₁	1	1	yes	characteristic, complemented
375	#2035	C₂×C₄₁	1	1	yes	characteristic, complemented
376	#2001	C₂×C₄₁	1	1	yes	characteristic, complemented
377	#2001	C₂×C₄₁	1	1	yes	characteristic, complemented
378	#1960	C₂×C₄₁	1	1	yes	characteristic, complemented
379	#1949	C₂×C₄₁	1	1	yes	characteristic, complemented
380	#1894	C₂×C₄₁	1	1	yes	characteristic, complemented
381	#1892	C₂×C₄₁	1	1	yes	characteristic, complemented
382	#1763	C₂×C₄₁	1	1	yes	characteristic, complemented
383	C₂×C₄₁	—	4	2	no	—
384	C₂×C₄₁	—	8	1	no	—
385	C₂×C₄₁	#2428	1	1	yes	characteristic
386	C₂×C₄₁	#3056	1	1	yes	characteristic
387	C₂×C₄₁	#3059	1	1	yes	characteristic
388	C₂×C₄₁	#3269	1	1	yes	characteristic
389	C₂×C₄₁	#3270	1	1	yes	characteristic
390	C₂×C₄₁	#3312	1	1	yes	characteristic
391	C₂×C₄₁	#3315	1	1	yes	characteristic
392	C₂²×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic
393	C₂²×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic
394	C₂²×M₁₆	C₂²×C₄₁	1	1	yes	characteristic
395	C₂³×C₈	C₂²×C₄₁	1	1	yes	characteristic
396	C₂×C₄⋊Q₈	C₂²×C₄₁	1	1	yes	characteristic
397	C₂×C₂²⋊Q₈	C₂²×C₄₁	1	1	yes	characteristic
398	C₂×C₂²⋊Q₈	C₂²×C₄₁	1	1	yes	characteristic
399	C₂×C₂²⋊Q₈	C₂²×C₄₁	1	1	yes	characteristic
400	C₂×C₂²⋊Q₈	C₂²×C₄₁	1	1	yes	characteristic
401	C₂×C₂²⋊Q₈	C₂²×C₄₁	1	1	yes	characteristic
402	C₂×C₂²⋊Q₈	C₂²×C₄₁	1	1	yes	characteristic
403	C₂×C₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic
404	C₂×C₄×D₄	C₂²×C₄₁	1	1	yes	characteristic
405	#470	—	2	4	no	—
406	#467	—	2	4	no	—
407	#462	—	2	4	no	—
408	#435	—	2	4	no	—
409	C₂×#107	C₂²×C₄₁	1	1	yes	characteristic
410	C₂×#106	C₂²×C₄₁	1	1	yes	characteristic
411	C₂×C₄⋊C₈	C₂²×C₄₁	1	1	yes	characteristic
412	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
413	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
414	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
415	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
416	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
417	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
418	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
419	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
420	C₂×C₂²⋊C₈	C₂²×C₄₁	1	1	yes	characteristic
421	C₂×C₂²⋊C₈	C₂²×C₄₁	1	1	yes	characteristic
422	C₂×#97	C₂²×C₄₁	1	1	yes	characteristic
423	#399	—	2	1	no	—
424	#399	—	2	1	no	—
425	#398	—	2	1	no	—
426	#394	—	2	1	no	—
427	#390	—	2	1	no	—
428	#388	—	2	1	no	—
429	#388	—	2	1	no	—
430	#384	—	2	1	no	—
431	#382	C₂²×C₄₁	1	1	yes	characteristic
432	#380	C₂²×C₄₁	1	1	yes	characteristic
433	#380	C₂²×C₄₁	1	1	yes	characteristic
434	C₄×C₄⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
435	#340	C₂²×C₄₁	1	1	yes	characteristic
436	#340	C₂²×C₄₁	1	1	yes	characteristic
437	#340	C₂²×C₄₁	1	1	yes	characteristic
438	#340	C₂²×C₄₁	1	1	yes	characteristic
439	C₄₁	#25398	1	1	yes	characteristic, direct product factor, Sylow
440	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
441	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
442	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
443	C₂²×D₄	D₄×C₄₁	1	1	yes	characteristic
444	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
445	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
446	C₂×Q₁₆	—	2	2	no	—
447	C₂×Q₁₆	—	2	2	no	—
448	C₂×Q₁₆	—	2	2	no	—
449	C₂×Q₁₆	—	2	2	no	—
450	C₂×Q₁₆	—	4	1	no	—
451	C₂×Q₁₆	—	4	1	no	—
452	C₂×M₁₆	—	2	2	no	—
453	C₂×M₁₆	—	2	2	no	—
454	C₂×M₁₆	—	4	1	no	—
455	C₂²×C₈	—	2	2	no	—
456	C₂²×C₈	—	2	2	no	—
457	C₂²×C₈	—	4	1	no	—
458	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
459	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
460	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
461	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
462	C₄⋊Q₈	—	2	2	no	—
463	C₄⋊Q₈	—	2	2	no	—
464	C₂²⋊Q₈	—	2	2	no	—
465	C₂²⋊Q₈	—	2	2	no	—
466	C₂²⋊Q₈	—	2	2	no	—
467	C₂²⋊Q₈	—	2	2	no	—
468	C₂²⋊Q₈	—	2	2	no	—
469	C₂²⋊Q₈	—	2	2	no	—
470	C₂²⋊Q₈	—	4	1	no	—
471	C₂²⋊Q₈	—	4	1	no	—
472	C₂²⋊Q₈	—	4	1	no	—
473	C₂²⋊Q₈	—	4	1	no	—
474	C₂²⋊Q₈	—	4	1	no	—
475	C₂²⋊Q₈	—	4	1	no	—
476	C₄×Q₈	—	2	2	no	—
477	C₄×Q₈	—	2	2	no	—
478	C₄×D₄	—	2	2	no	—
479	C₄×D₄	—	2	2	no	—
480	C₂×C₄⋊C₄	—	2	1	no	—
481	C₂×C₄⋊C₄	—	2	1	no	—
482	C₂×C₄⋊C₄	—	2	1	no	—
483	C₂×C₄⋊C₄	—	2	1	no	—
484	C₂×C₄⋊C₄	—	2	1	no	—
485	C₂×C₄⋊C₄	—	2	1	no	—
486	C₂×C₄⋊C₄	—	2	1	no	—
487	C₂×C₄⋊C₄	—	2	1	no	—
488	C₂×C₄⋊C₄	—	2	1	no	—
489	C₂×C₄⋊C₄	D₄×C₄₁	1	1	yes	characteristic
490	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
491	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
492	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
493	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
494	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
495	C₂×C₂²⋊C₄	—	2	1	no	—
496	C₂×C₂²⋊C₄	—	2	1	no	—
497	C₂×C₂²⋊C₄	—	2	1	no	—
498	C₂×C₂²⋊C₄	—	2	1	no	—
499	C₂×C₂²⋊C₄	—	2	1	no	—
500	C₂×C₂²⋊C₄	—	2	1	no	—
501	C₂×C₂²⋊C₄	—	2	1	no	—
502	C₂×C₂²⋊C₄	—	2	1	no	—
503	C₂×C₂²⋊C₄	D₄×C₄₁	1	1	yes	characteristic
504	C₂×C₂²⋊C₄	D₄×C₄₁	1	1	yes	characteristic
505	C₂×C₄²	—	2	1	no	—
506	C₂×C₄²	—	2	1	no	—
507	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
508	#107	—	2	2	no	—
509	#106	—	2	2	no	—
510	C₄⋊C₈	D₄×C₄₁	1	4	yes	—
511	#103	—	2	2	no	—
512	#103	—	2	2	no	—
513	#103	—	2	2	no	—
514	#103	—	2	2	no	—
515	#103	—	2	2	no	—
516	#103	—	4	1	no	—
517	#103	—	4	1	no	—
518	#103	D₄×C₄₁	1	4	yes	complemented
519	C₂²⋊C₈	—	2	2	no	—
520	C₂²⋊C₈	—	2	2	no	—
521	#97	—	2	2	no	—
522	#95	—	2	1	no	—
523	#95	—	2	1	no	—
524	#95	—	2	1	no	—
525	#95	—	2	1	no	—
526	#95	—	2	1	no	—
527	C₂⁴	C₂×D₄×C₄₁	1	1	yes	characteristic
528	C₂⁴	C₂×D₄×C₄₁	1	1	yes	characteristic
529	C₂×Q₈	—	2	1	no	—
530	C₂×Q₈	—	2	1	no	—
531	C₂×Q₈	—	2	1	no	—
532	C₂×Q₈	—	2	1	no	—
533	C₂×Q₈	—	2	1	no	—
534	C₂×Q₈	—	2	1	no	—
535	C₂×Q₈	—	2	1	no	—
536	C₂×Q₈	—	2	1	no	—
537	C₂×Q₈	—	2	1	no	—
538	C₂×Q₈	—	2	1	no	—
539	C₂×Q₈	—	2	1	no	—
540	C₂×Q₈	—	2	1	no	—
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	C₂×D₄×C₄₁	1	2	yes	—
547	C₂×D₄	—	2	2	no	—
548	C₂×D₄	—	2	2	no	—
549	C₂×D₄	—	4	1	no	—
550	C₂²×C₄	—	2	1	no	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	2	1	no	—
557	C₂²×C₄	—	2	1	no	—
558	C₂²×C₄	—	2	1	no	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	2	1	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	2	1	no	—
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
571	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
572	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
573	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
574	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
575	Q₁₆	—	4	4	no	—
576	Q₁₆	—	4	4	no	—
577	M₁₆	—	4	4	no	—
578	C₂×C₈	—	2	1	no	—
579	C₂×C₈	—	2	1	no	—
580	C₂×C₈	—	2	1	no	—
581	C₂×C₈	—	2	1	no	—
582	C₂×C₈	—	2	1	no	—
583	C₂×C₈	—	2	1	no	—
584	C₂×C₈	—	2	1	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	4	4	no	—
588	C₂×C₈	C₂×D₄×C₄₁	1	2	yes	—
589	C₂×C₈	C₂×D₄×C₄₁	1	2	yes	—
590	C₂×C₈	C₂×D₄×C₄₁	1	2	yes	—
591	C₄⋊C₄	—	2	2	no	—
592	C₄⋊C₄	—	2	1	no	—
593	C₄⋊C₄	—	2	1	no	—
594	C₄⋊C₄	—	2	1	no	—
595	C₄⋊C₄	—	2	1	no	—
596	C₄⋊C₄	—	2	1	no	—
597	C₄⋊C₄	—	2	1	no	—
598	C₄⋊C₄	—	2	1	no	—
599	C₄⋊C₄	—	2	1	no	—
600	C₄⋊C₄	—	4	2	no	—
601	C₄⋊C₄	—	4	2	no	—
602	C₄⋊C₄	—	4	2	no	—
603	C₄⋊C₄	—	4	2	no	—
604	C₄⋊C₄	—	4	2	no	—
605	C₄⋊C₄	—	4	2	no	—
606	C₄⋊C₄	—	4	2	no	—
607	C₄⋊C₄	—	4	2	no	—
608	C₄⋊C₄	—	4	2	no	—
609	C₄⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
610	C₄⋊C₄	#41×C₄₁	1	2	yes	—
611	C₂²⋊C₄	—	2	2	no	—
612	C₂²⋊C₄	—	2	2	no	—
613	C₂²⋊C₄	—	4	2	no	—
614	C₂²⋊C₄	—	4	2	no	—
615	C₂²⋊C₄	—	4	2	no	—
616	C₂²⋊C₄	—	4	2	no	—
617	C₂²⋊C₄	—	4	2	no	—
618	C₂²⋊C₄	—	4	2	no	—
619	C₂²⋊C₄	—	4	2	no	—
620	C₂²⋊C₄	—	4	2	no	—
621	C₄²	—	4	2	no	—
622	C₄²	—	4	2	no	—
623	C₄²	C₂×D₄×C₄₁	1	2	yes	—
624	C₄²	#41×C₄₁	1	2	yes	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	#137×C₄₁	1	2	yes	—
639	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
640	Q₈	—	2	2	no	—
641	Q₈	—	2	2	no	—
642	Q₈	—	4	1	no	—
643	Q₈	—	4	1	no	—
644	Q₈	—	4	1	no	—
645	Q₈	—	4	1	no	—
646	Q₈	—	4	1	no	—
647	Q₈	—	4	1	no	—
648	Q₈	—	4	1	no	—
649	Q₈	—	4	1	no	—
650	Q₈	—	4	1	no	—
651	Q₈	—	4	1	no	—
652	D₄	—	4	4	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	4	1	no	—
667	C₂×C₄	—	4	1	no	—
668	C₂×C₄	—	4	1	no	—
669	C₂×C₄	—	4	1	no	—
670	C₂×C₄	—	4	1	no	—
671	C₂×C₄	—	4	1	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	1	no	—
674	C₂×C₄	—	4	1	no	—
675	C₂×C₄	—	4	1	no	—
676	C₂×C₄	—	4	1	no	—
677	C₂×C₄	—	4	1	no	—
678	C₂×C₄	—	4	1	no	—
679	C₂×C₄	—	4	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	4	1	no	—
682	C₂×C₄	—	4	1	no	—
683	C₂×C₄	—	4	1	no	—
684	C₂×C₄	—	4	1	no	—
685	C₂×C₄	—	4	1	no	—
686	C₂×C₄	—	4	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	4	1	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	#121×C₄₁	1	2	yes	—
696	C₂×C₄	#121×C₄₁	1	2	yes	—
697	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
698	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
699	C₂×C₄	C₂×#41×C₄₁	1	1	yes	characteristic
700	C₂×C₄	C₂×#41×C₄₁	1	1	yes	characteristic
701	C₂×C₄	H(5,𝔽₂)×C₄₁	1	1	yes	characteristic
702	C₂×C₄	H(5,𝔽₂)×C₄₁	1	1	yes	characteristic
703	C₈	—	2	2	no	—
704	C₈	—	2	2	no	—
705	C₈	—	2	2	no	—
706	C₈	—	4	1	no	—
707	C₂²	—	2	2	no	—
708	C₂²	—	2	2	no	—
709	C₂²	—	2	2	no	—
710	C₂²	—	4	1	no	—
711	C₂²	—	4	1	no	—
712	C₂²	—	4	1	no	—
713	C₂²	—	4	1	no	—
714	C₂²	—	4	1	no	—
715	C₂²	—	4	1	no	—
716	C₂²	—	4	1	no	—
717	C₂²	—	4	1	no	—
718	C₂²	—	4	1	no	—
719	C₂²	—	4	1	no	—
720	C₂²	—	4	1	no	—
721	C₂²	C₂×#121×C₄₁	1	1	yes	characteristic
722	C₂²	D₄²×C₄₁	1	1	yes	characteristic
723	C₂²	C₄₁×#546	1	1	yes	characteristic
724	C₂²	C₂×#137×C₄₁	1	1	yes	characteristic
725	C₂²	C₄₁×#575	1	1	yes	characteristic
726	C₂²	C₄₁×#578	1	1	yes	characteristic
727	C₂²	C₄₁×#578	1	1	yes	characteristic
728	C₄	—	2	2	no	—
729	C₄	—	2	2	no	—
730	C₄	—	4	2	no	—
731	C₄	—	4	1	no	—
732	C₄	—	4	1	no	—
733	C₄	—	4	2	no	—
734	C₄	—	4	2	no	—
735	C₄	—	8	1	no	—
736	C₄	—	8	1	no	—
737	C₄	—	8	1	no	—
738	C₄	—	8	1	no	—
739	C₄	—	8	1	no	—
740	C₄	C₄₁×#532	1	1	yes	characteristic
741	C₄	C₄₁×#540	1	1	yes	characteristic
742	C₄	D₄²×C₄₁	1	1	yes	characteristic
743	C₄	C₄₁×#550	1	1	yes	characteristic
744	C₂	—	4	2	no	—
745	C₂	—	8	1	no	—
746	C₂	C₄₁×#2428	1	1	yes	characteristic
747	C₂	C₄₁×#3056	1	1	yes	characteristic
748	C₂	C₄₁×#3059	1	1	yes	characteristic
749	C₂	C₄₁×#3269	1	1	yes	characteristic
750	C₂	C₄₁×#3270	1	1	yes	characteristic
751	C₂	C₄₁×#3312	1	1	yes	characteristic
752	C₂	C₄₁×#3315	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₄₁×#470	C₂	semidirect
2. C₂×C₄₁×#467	C₂	semidirect
3. C₂×C₄₁×#462	C₂	semidirect
7. C₄₁×#2036	C₂	semidirect
8. C₄₁×#2035	C₂	semidirect
9. C₄₁×#2001	C₂	semidirect
10. C₄₁×#2001	C₂	semidirect
11. C₄₁×#1960	C₂	semidirect
12. C₄₁×#1949	C₂	semidirect
13. C₄₁×#1894	C₂	semidirect
14. C₄₁×#1892	C₂	semidirect
15. C₄₁×#1763	C₂	semidirect
141. #103×C₄₁	D₄	semidirect
330. #25398	C₄₁	direct (N × H)
368. C₂×#470	C₂×C₄₁	semidirect
369. C₂×#467	C₂×C₄₁	semidirect
370. C₂×#462	C₂×C₄₁	semidirect
374. #2036	C₂×C₄₁	semidirect
375. #2035	C₂×C₄₁	semidirect
376. #2001	C₂×C₄₁	semidirect
377. #2001	C₂×C₄₁	semidirect
378. #1960	C₂×C₄₁	semidirect
379. #1949	C₂×C₄₁	semidirect
380. #1894	C₂×C₄₁	semidirect
381. #1892	C₂×C₄₁	semidirect
382. #1763	C₂×C₄₁	semidirect
439. C₄₁	#25398	direct (N × H)
518. #103	D₄×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×#470	2
C₂×C₄₁×#467	2
C₂×C₄₁×#462	2
C₂×C₄₁×#435	2
C₄₁×#2542	2
C₄₁×#2536	2
C₄₁×#2036	2
C₄₁×#2035	2
C₄₁×#2001	2
C₄₁×#1960	2
C₄₁×#1949	2
C₄₁×#1894	2
C₄₁×#1892	2
C₄₁×#1763	2
#25398	41

Subgroups — C41×#25398 #23801599

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#25398 #23801599