Subgroups — C₂×C₄₁×#2493 #23810950

Order 10496.

2398 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#2493	C₂	1	16	yes	maximal, direct product factor
2	C₂×C₄₁×#401	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄₁×#400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄₁×#400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₄₁×#400	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₄₁×#387	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄₁×#387	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄₁×#387	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₄₁×#385	C₂	1	1	yes	maximal, characteristic
10	C₂×C₄₁×#385	C₂	1	1	yes	maximal, characteristic
11	C₂×C₄₁×#383	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₄₁×#381	C₂	1	1	yes	maximal, characteristic
13	C₂×C₄₁×#381	C₂	1	1	yes	maximal, characteristic
14	C₂×C₄₁×#380	C₂	1	1	yes	maximal, characteristic
15	C₂×C₄×C₂²⋊C₄×C₄₁	C₂	1	1	yes	maximal, characteristic
16	C₂²×#95×C₄₁	C₂	1	1	yes	maximal, characteristic
17	C₂⁴×C₄×C₄₁	C₂²	1	1	yes	characteristic
18	C₂⁴×C₄×C₄₁	C₂²	1	1	yes	characteristic
19	C₂⁴×C₄×C₄₁	C₂²	1	1	yes	characteristic
20	C₂²×C₄⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
21	C₂²×C₄⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
22	C₂²×C₄⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
23	C₂²×C₄⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
24	C₂²×C₄⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
25	C₂²×C₄⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
26	C₂²×C₂²⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
27	C₂²×C₂²⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
28	C₂²×C₂²⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
29	C₂²×C₂²⋊C₄×C₄₁	C₂²	1	1	yes	characteristic
30	C₂²×C₄²×C₄₁	C₂²	1	1	yes	characteristic
31	C₂²×C₄²×C₄₁	C₂²	1	1	yes	characteristic
32	C₄₁×#401	C₂²	1	8	yes	complemented
33	C₄₁×#400	C₂²	1	8	yes	complemented
34	C₄₁×#400	C₂²	1	8	yes	complemented
35	C₄₁×#400	C₂²	1	8	yes	complemented
36	C₄₁×#387	C₂²	1	8	yes	complemented
37	C₄₁×#387	C₂²	1	8	yes	complemented
38	C₄₁×#387	C₂²	1	8	yes	complemented
39	C₄₁×#385	C₂²	1	8	yes	—
40	C₄₁×#385	C₂²	1	8	yes	—
41	C₄₁×#383	C₂²	1	8	yes	complemented
42	C₄₁×#381	C₂²	1	8	yes	—
43	C₄₁×#381	C₂²	1	8	yes	—
44	C₄₁×#380	C₂²	1	8	yes	—
45	C₄×C₂²⋊C₄×C₄₁	C₂²	1	8	yes	—
46	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
47	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
48	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
49	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
50	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
51	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
52	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
53	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
54	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
55	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
56	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
57	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
58	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
59	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
60	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
61	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
62	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
63	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
64	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
65	C₂×#95×C₄₁	C₂²	1	1	yes	characteristic
66	C₂×#95×C₄₁	C₂²	1	8	yes	—
67	C₂⁵×C₄₁	C₂³	1	1	yes	characteristic
68	C₂³×C₄×C₄₁	—	2	4	no	—
69	C₂³×C₄×C₄₁	—	2	4	no	—
70	C₂³×C₄×C₄₁	—	2	4	no	—
71	C₂³×C₄×C₄₁	—	2	4	no	—
72	C₂³×C₄×C₄₁	—	2	4	no	—
73	C₂³×C₄×C₄₁	—	2	4	no	—
74	C₂³×C₄×C₄₁	—	2	4	no	—
75	C₂³×C₄×C₄₁	—	4	2	no	—
76	C₂³×C₄×C₄₁	—	4	2	no	—
77	C₂³×C₄×C₄₁	C₂³	1	4	yes	—
78	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
79	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
80	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
81	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
82	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
83	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
86	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
88	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
90	C₂³×C₄×C₄₁	C₂³	1	4	yes	—
91	C₂³×C₄×C₄₁	C₂³	1	4	yes	—
92	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
93	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
94	C₂×C₄⋊C₄×C₄₁	—	2	4	no	—
95	C₂×C₄⋊C₄×C₄₁	—	2	4	no	—
96	C₂×C₄⋊C₄×C₄₁	—	2	4	no	—
97	C₂×C₄⋊C₄×C₄₁	—	4	2	no	—
98	C₂×C₄⋊C₄×C₄₁	—	4	2	no	—
99	C₂×C₄⋊C₄×C₄₁	—	4	2	no	—
100	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
101	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
102	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
103	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
104	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
105	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
106	C₂×C₂²⋊C₄×C₄₁	—	2	4	no	—
107	C₂×C₂²⋊C₄×C₄₁	—	2	4	no	—
108	C₂×C₂²⋊C₄×C₄₁	—	2	4	no	—
109	C₂×C₂²⋊C₄×C₄₁	—	2	4	no	—
110	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
111	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
112	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
113	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
114	C₂×C₄²×C₄₁	—	2	4	no	—
115	C₂×C₄²×C₄₁	—	4	2	no	—
116	C₂×C₄²×C₄₁	C₂³	1	4	yes	—
117	C₂×C₄²×C₄₁	C₂³	1	4	yes	—
118	#95×C₄₁	C₂³	1	4	yes	—
119	#95×C₄₁	C₂³	1	4	yes	—
120	#95×C₄₁	C₂³	1	4	yes	—
121	#95×C₄₁	C₂³	1	4	yes	—
122	#95×C₄₁	C₂³	1	4	yes	—
123	#95×C₄₁	C₂³	1	4	yes	—
124	#95×C₄₁	C₂³	1	4	yes	—
125	#95×C₄₁	C₂³	1	4	yes	—
126	#95×C₄₁	C₂³	1	4	yes	—
127	#95×C₄₁	C₂³	1	4	yes	—
128	#95×C₄₁	C₂³	1	4	yes	—
129	#95×C₄₁	C₂³	1	4	yes	—
130	#95×C₄₁	C₂³	1	4	yes	—
131	#95×C₄₁	C₂³	1	4	yes	—
132	#95×C₄₁	C₂³	1	4	yes	—
133	#95×C₄₁	C₂³	1	4	yes	—
134	#95×C₄₁	C₂³	1	4	yes	—
135	#95×C₄₁	C₂³	1	4	yes	—
136	#95×C₄₁	C₂³	1	4	yes	—
137	#95×C₄₁	C₂³	1	4	yes	—
138	C₂⁴×C₄₁	—	2	2	no	—
139	C₂⁴×C₄₁	—	2	2	no	—
140	C₂⁴×C₄₁	—	2	2	no	—
141	C₂⁴×C₄₁	—	2	2	no	—
142	C₂⁴×C₄₁	#41	1	4	yes	—
143	C₂⁴×C₄₁	#41	1	4	yes	—
144	C₂⁴×C₄₁	#41	1	4	yes	—
145	C₂⁴×C₄₁	C₂⁴	1	2	yes	—
146	C₂⁴×C₄₁	C₂⁴	1	1	yes	characteristic
147	C₂²×C₄×C₄₁	—	2	2	no	—
148	C₂²×C₄×C₄₁	—	2	2	no	—
149	C₂²×C₄×C₄₁	—	2	2	no	—
150	C₂²×C₄×C₄₁	—	2	2	no	—
151	C₂²×C₄×C₄₁	—	2	2	no	—
152	C₂²×C₄×C₄₁	—	2	2	no	—
153	C₂²×C₄×C₄₁	—	2	2	no	—
154	C₂²×C₄×C₄₁	—	2	2	no	—
155	C₂²×C₄×C₄₁	—	2	2	no	—
156	C₂²×C₄×C₄₁	—	2	2	no	—
157	C₂²×C₄×C₄₁	—	2	2	no	—
158	C₂²×C₄×C₄₁	—	2	2	no	—
159	C₂²×C₄×C₄₁	—	2	2	no	—
160	C₂²×C₄×C₄₁	—	2	2	no	—
161	C₂²×C₄×C₄₁	—	2	2	no	—
162	C₂²×C₄×C₄₁	—	2	2	no	—
163	C₂²×C₄×C₄₁	—	2	2	no	—
164	C₂²×C₄×C₄₁	—	2	2	no	—
165	C₂²×C₄×C₄₁	—	2	2	no	—
166	C₂²×C₄×C₄₁	—	2	2	no	—
167	C₂²×C₄×C₄₁	—	2	8	no	—
168	C₂²×C₄×C₄₁	—	2	8	no	—
169	C₂²×C₄×C₄₁	—	2	8	no	—
170	C₂²×C₄×C₄₁	—	2	8	no	—
171	C₂²×C₄×C₄₁	—	2	8	no	—
172	C₂²×C₄×C₄₁	—	2	2	no	—
173	C₂²×C₄×C₄₁	—	2	2	no	—
174	C₂²×C₄×C₄₁	—	2	2	no	—
175	C₂²×C₄×C₄₁	—	2	2	no	—
176	C₂²×C₄×C₄₁	—	2	2	no	—
177	C₂²×C₄×C₄₁	—	2	2	no	—
178	C₂²×C₄×C₄₁	—	2	2	no	—
179	C₂²×C₄×C₄₁	—	2	2	no	—
180	C₂²×C₄×C₄₁	—	2	2	no	—
181	C₂²×C₄×C₄₁	—	2	2	no	—
182	C₂²×C₄×C₄₁	—	2	2	no	—
183	C₂²×C₄×C₄₁	—	2	2	no	—
184	C₂²×C₄×C₄₁	—	2	2	no	—
185	C₂²×C₄×C₄₁	—	2	2	no	—
186	C₂²×C₄×C₄₁	—	2	2	no	—
187	C₂²×C₄×C₄₁	—	2	2	no	—
188	C₂²×C₄×C₄₁	—	2	2	no	—
189	C₂²×C₄×C₄₁	—	2	2	no	—
190	C₂²×C₄×C₄₁	—	2	2	no	—
191	C₂²×C₄×C₄₁	—	2	2	no	—
192	C₂²×C₄×C₄₁	—	2	8	no	—
193	C₂²×C₄×C₄₁	—	2	8	no	—
194	C₂²×C₄×C₄₁	—	4	4	no	—
195	C₂²×C₄×C₄₁	—	4	4	no	—
196	C₂²×C₄×C₄₁	—	4	16	no	—
197	C₂²×C₄×C₄₁	—	4	16	no	—
198	C₂²×C₄×C₄₁	—	4	16	no	—
199	C₂²×C₄×C₄₁	#41	1	4	yes	—
200	C₂²×C₄×C₄₁	#41	1	4	yes	—
201	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
202	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
203	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
204	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
205	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
206	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
207	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
208	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
209	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
210	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
212	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
215	C₄⋊C₄×C₄₁	—	2	8	no	—
216	C₄⋊C₄×C₄₁	—	2	8	no	—
217	C₄⋊C₄×C₄₁	—	2	8	no	—
218	C₄⋊C₄×C₄₁	—	4	4	no	—
219	C₄⋊C₄×C₄₁	—	4	4	no	—
220	C₄⋊C₄×C₄₁	—	4	4	no	—
221	C₂²⋊C₄×C₄₁	—	2	8	no	—
222	C₂²⋊C₄×C₄₁	—	2	8	no	—
223	C₂²⋊C₄×C₄₁	—	2	8	no	—
224	C₂²⋊C₄×C₄₁	—	2	8	no	—
225	C₄²×C₄₁	—	2	8	no	—
226	C₄²×C₄₁	—	4	4	no	—
227	C₂³×C₄₁	—	2	8	no	—
228	C₂³×C₄₁	—	2	8	no	—
229	C₂³×C₄₁	—	2	8	no	—
230	C₂³×C₄₁	—	2	8	no	—
231	C₂³×C₄₁	—	2	8	no	—
232	C₂³×C₄₁	—	2	8	no	—
233	C₂³×C₄₁	—	2	2	no	—
234	C₂³×C₄₁	—	2	2	no	—
235	C₂³×C₄₁	—	2	2	no	—
236	C₂³×C₄₁	—	2	2	no	—
237	C₂³×C₄₁	#126	1	16	yes	—
238	C₂³×C₄₁	C₂×#41	1	4	yes	—
239	C₂³×C₄₁	C₂×#41	1	4	yes	—
240	C₂³×C₄₁	C₂×#41	1	4	yes	—
241	C₂³×C₄₁	C₂×#41	1	2	yes	—
242	C₂³×C₄₁	C₂×#41	1	2	yes	—
243	C₂³×C₄₁	C₂×#41	1	2	yes	—
244	C₂³×C₄₁	C₂×#41	1	2	yes	—
245	C₂³×C₄₁	C₂×#41	1	2	yes	—
246	C₂³×C₄₁	H(5,𝔽₂)	1	2	yes	—
247	C₂³×C₄₁	2₋¹⁺⁴	1	2	yes	—
248	C₂³×C₄₁	C₂⁵	1	1	yes	characteristic
249	C₂×C₄×C₄₁	—	2	8	no	—
250	C₂×C₄×C₄₁	—	2	8	no	—
251	C₂×C₄×C₄₁	—	2	2	no	—
252	C₂×C₄×C₄₁	—	2	2	no	—
253	C₂×C₄×C₄₁	—	2	2	no	—
254	C₂×C₄×C₄₁	—	2	2	no	—
255	C₂×C₄×C₄₁	—	2	2	no	—
256	C₂×C₄×C₄₁	—	2	2	no	—
257	C₂×C₄×C₄₁	—	2	2	no	—
258	C₂×C₄×C₄₁	—	2	2	no	—
259	C₂×C₄×C₄₁	—	2	2	no	—
260	C₂×C₄×C₄₁	—	2	2	no	—
261	C₂×C₄×C₄₁	—	2	2	no	—
262	C₂×C₄×C₄₁	—	2	2	no	—
263	C₂×C₄×C₄₁	—	2	2	no	—
264	C₂×C₄×C₄₁	—	2	2	no	—
265	C₂×C₄×C₄₁	—	2	2	no	—
266	C₂×C₄×C₄₁	—	2	2	no	—
267	C₂×C₄×C₄₁	—	2	2	no	—
268	C₂×C₄×C₄₁	—	2	2	no	—
269	C₂×C₄×C₄₁	—	2	2	no	—
270	C₂×C₄×C₄₁	—	2	2	no	—
271	C₂×C₄×C₄₁	—	2	2	no	—
272	C₂×C₄×C₄₁	—	2	2	no	—
273	C₂×C₄×C₄₁	—	2	2	no	—
274	C₂×C₄×C₄₁	—	2	2	no	—
275	C₂×C₄×C₄₁	—	2	2	no	—
276	C₂×C₄×C₄₁	—	2	2	no	—
277	C₂×C₄×C₄₁	—	2	2	no	—
278	C₂×C₄×C₄₁	—	2	2	no	—
279	C₂×C₄×C₄₁	—	2	2	no	—
280	C₂×C₄×C₄₁	—	2	2	no	—
281	C₂×C₄×C₄₁	—	2	2	no	—
282	C₂×C₄×C₄₁	—	2	2	no	—
283	C₂×C₄×C₄₁	—	2	2	no	—
284	C₂×C₄×C₄₁	—	2	2	no	—
285	C₂×C₄×C₄₁	—	2	2	no	—
286	C₂×C₄×C₄₁	—	2	2	no	—
287	C₂×C₄×C₄₁	—	2	2	no	—
288	C₂×C₄×C₄₁	—	2	2	no	—
289	C₂×C₄×C₄₁	—	2	2	no	—
290	C₂×C₄×C₄₁	—	2	2	no	—
291	C₂×C₄×C₄₁	—	4	16	no	—
292	C₂×C₄×C₄₁	—	4	16	no	—
293	C₂×C₄×C₄₁	—	4	16	no	—
294	C₂×C₄×C₄₁	—	4	4	no	—
295	C₂×C₄×C₄₁	—	4	4	no	—
296	C₂×C₄×C₄₁	—	4	4	no	—
297	C₂×C₄×C₄₁	—	4	4	no	—
298	C₂×C₄×C₄₁	—	4	4	no	—
299	C₂×C₄×C₄₁	—	4	4	no	—
300	C₂×C₄×C₄₁	—	4	4	no	—
301	C₂×C₄×C₄₁	—	4	4	no	—
302	C₂×C₄×C₄₁	—	4	4	no	—
303	C₂×C₄×C₄₁	—	4	4	no	—
304	C₂×C₄×C₄₁	—	4	4	no	—
305	C₂×C₄×C₄₁	—	4	4	no	—
306	C₂×C₄×C₄₁	C₂×#41	1	4	yes	—
307	C₂×C₄×C₄₁	C₂×#41	1	4	yes	—
308	C₂×#2493	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
309	C₂²×C₄₁	—	2	4	no	—
310	C₂²×C₄₁	—	2	4	no	—
311	C₂²×C₄₁	—	2	4	no	—
312	C₂²×C₄₁	—	2	4	no	—
313	C₂²×C₄₁	—	2	4	no	—
314	C₂²×C₄₁	—	2	4	no	—
315	C₂²×C₄₁	—	2	32	no	—
316	C₂²×C₄₁	C₂×#126	1	8	yes	—
317	C₂²×C₄₁	C₂×#126	1	4	yes	—
318	C₂²×C₄₁	#529	1	4	yes	—
319	C₂²×C₄₁	#539	1	4	yes	—
320	C₂²×C₄₁	#551	1	4	yes	—
321	C₂²×C₄₁	#551	1	4	yes	—
322	C₂²×C₄₁	#552	1	4	yes	—
323	C₂²×C₄₁	#552	1	4	yes	—
324	C₂²×C₄₁	C₂²×#41	1	1	yes	characteristic
325	C₂²×C₄₁	C₂²×#41	1	1	yes	characteristic
326	C₂²×C₄₁	C₂²×#41	1	1	yes	characteristic
327	C₂²×C₄₁	C₂²×#41	1	1	yes	characteristic
328	C₂²×C₄₁	C₂²×#41	1	1	yes	characteristic
329	C₂²×C₄₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
330	C₂²×C₄₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
331	C₄×C₄₁	—	2	4	no	—
332	C₄×C₄₁	—	2	4	no	—
333	C₄×C₄₁	—	4	2	no	—
334	C₄×C₄₁	—	4	2	no	—
335	C₄×C₄₁	—	4	2	no	—
336	C₄×C₄₁	—	4	2	no	—
337	C₄×C₄₁	—	4	2	no	—
338	C₄×C₄₁	—	4	2	no	—
339	C₄×C₄₁	—	4	2	no	—
340	C₄×C₄₁	—	4	2	no	—
341	C₄×C₄₁	—	4	2	no	—
342	C₄×C₄₁	—	4	2	no	—
343	C₄×C₄₁	—	4	2	no	—
344	C₄×C₄₁	—	4	2	no	—
345	#2493	C₂×C₄₁	1	16	yes	direct product factor
346	C₂×#401	C₂×C₄₁	1	1	yes	characteristic, complemented
347	C₂×#400	C₂×C₄₁	1	1	yes	characteristic, complemented
348	C₂×#400	C₂×C₄₁	1	1	yes	characteristic, complemented
349	C₂×#400	C₂×C₄₁	1	1	yes	characteristic, complemented
350	C₂×#387	C₂×C₄₁	1	1	yes	characteristic, complemented
351	C₂×#387	C₂×C₄₁	1	1	yes	characteristic, complemented
352	C₂×#387	C₂×C₄₁	1	1	yes	characteristic, complemented
353	C₂×#385	C₂×C₄₁	1	1	yes	characteristic
354	C₂×#385	C₂×C₄₁	1	1	yes	characteristic
355	C₂×#383	C₂×C₄₁	1	1	yes	characteristic, complemented
356	C₂×#381	C₂×C₄₁	1	1	yes	characteristic
357	C₂×#381	C₂×C₄₁	1	1	yes	characteristic
358	C₂×#380	C₂×C₄₁	1	1	yes	characteristic
359	C₂×C₄×C₂²⋊C₄	C₂×C₄₁	1	1	yes	characteristic
360	C₂²×#95	C₂×C₄₁	1	1	yes	characteristic
361	C₂×C₄₁	—	2	8	no	—
362	C₂×C₄₁	#2493	1	8	yes	direct product factor
363	C₂×C₄₁	C₂²×#126	1	1	yes	characteristic
364	C₂×C₄₁	C₂×#529	1	1	yes	characteristic
365	C₂×C₄₁	C₂×#539	1	1	yes	characteristic
366	C₂×C₄₁	C₂×#551	1	1	yes	characteristic
367	C₂×C₄₁	C₂×#551	1	1	yes	characteristic
368	C₂×C₄₁	C₂×#552	1	1	yes	characteristic
369	C₂×C₄₁	C₂×#552	1	1	yes	characteristic
370	C₂⁴×C₄	C₂²×C₄₁	1	1	yes	characteristic
371	C₂⁴×C₄	C₂²×C₄₁	1	1	yes	characteristic
372	C₂⁴×C₄	C₂²×C₄₁	1	1	yes	characteristic
373	C₂²×C₄⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
374	C₂²×C₄⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
375	C₂²×C₄⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
376	C₂²×C₄⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
377	C₂²×C₄⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
378	C₂²×C₄⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
379	C₂²×C₂²⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
380	C₂²×C₂²⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
381	C₂²×C₂²⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
382	C₂²×C₂²⋊C₄	C₂²×C₄₁	1	1	yes	characteristic
383	C₂²×C₄²	C₂²×C₄₁	1	1	yes	characteristic
384	C₂²×C₄²	C₂²×C₄₁	1	1	yes	characteristic
385	#401	C₂²×C₄₁	1	8	yes	complemented
386	#400	C₂²×C₄₁	1	8	yes	complemented
387	#400	C₂²×C₄₁	1	8	yes	complemented
388	#400	C₂²×C₄₁	1	8	yes	complemented
389	#387	C₂²×C₄₁	1	8	yes	complemented
390	#387	C₂²×C₄₁	1	8	yes	complemented
391	#387	C₂²×C₄₁	1	8	yes	complemented
392	#385	C₂²×C₄₁	1	8	yes	—
393	#385	C₂²×C₄₁	1	8	yes	—
394	#383	C₂²×C₄₁	1	8	yes	complemented
395	#381	C₂²×C₄₁	1	8	yes	—
396	#381	C₂²×C₄₁	1	8	yes	—
397	#380	C₂²×C₄₁	1	8	yes	—
398	C₄×C₂²⋊C₄	C₂²×C₄₁	1	8	yes	—
399	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
400	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
401	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
402	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
403	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
404	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
405	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
406	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
407	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
408	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
409	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
410	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
411	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
412	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
413	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
414	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
415	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
416	C₂×#95	C₂²×C₄₁	1	8	yes	—
417	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
418	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
419	C₂×#95	C₂²×C₄₁	1	1	yes	characteristic
420	C₄₁	C₂×#2493	1	1	yes	characteristic, direct product factor, Sylow
421	C₂⁵	C₂³×C₄₁	1	1	yes	characteristic
422	C₂³×C₄	—	2	4	no	—
423	C₂³×C₄	—	2	4	no	—
424	C₂³×C₄	—	2	4	no	—
425	C₂³×C₄	—	2	4	no	—
426	C₂³×C₄	—	2	4	no	—
427	C₂³×C₄	—	2	4	no	—
428	C₂³×C₄	—	2	4	no	—
429	C₂³×C₄	—	4	2	no	—
430	C₂³×C₄	—	4	2	no	—
431	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
432	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
433	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
434	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
435	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
436	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
437	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
438	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
439	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
440	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
441	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
442	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
443	C₂³×C₄	C₂³×C₄₁	1	4	yes	—
444	C₂³×C₄	C₂³×C₄₁	1	4	yes	—
445	C₂³×C₄	C₂³×C₄₁	1	4	yes	—
446	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
447	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
448	C₂×C₄⋊C₄	—	2	4	no	—
449	C₂×C₄⋊C₄	—	2	4	no	—
450	C₂×C₄⋊C₄	—	2	4	no	—
451	C₂×C₄⋊C₄	—	4	2	no	—
452	C₂×C₄⋊C₄	—	4	2	no	—
453	C₂×C₄⋊C₄	—	4	2	no	—
454	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
455	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
456	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
457	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
458	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
459	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
460	C₂×C₂²⋊C₄	—	2	4	no	—
461	C₂×C₂²⋊C₄	—	2	4	no	—
462	C₂×C₂²⋊C₄	—	2	4	no	—
463	C₂×C₂²⋊C₄	—	2	4	no	—
464	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
466	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
467	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
468	C₂×C₄²	—	2	4	no	—
469	C₂×C₄²	—	4	2	no	—
470	C₂×C₄²	C₂³×C₄₁	1	4	yes	—
471	C₂×C₄²	C₂³×C₄₁	1	4	yes	—
472	#95	C₂³×C₄₁	1	4	yes	—
473	#95	C₂³×C₄₁	1	4	yes	—
474	#95	C₂³×C₄₁	1	4	yes	—
475	#95	C₂³×C₄₁	1	4	yes	—
476	#95	C₂³×C₄₁	1	4	yes	—
477	#95	C₂³×C₄₁	1	4	yes	—
478	#95	C₂³×C₄₁	1	4	yes	—
479	#95	C₂³×C₄₁	1	4	yes	—
480	#95	C₂³×C₄₁	1	4	yes	—
481	#95	C₂³×C₄₁	1	4	yes	—
482	#95	C₂³×C₄₁	1	4	yes	—
483	#95	C₂³×C₄₁	1	4	yes	—
484	#95	C₂³×C₄₁	1	4	yes	—
485	#95	C₂³×C₄₁	1	4	yes	—
486	#95	C₂³×C₄₁	1	4	yes	—
487	#95	C₂³×C₄₁	1	4	yes	—
488	#95	C₂³×C₄₁	1	4	yes	—
489	#95	C₂³×C₄₁	1	4	yes	—
490	#95	C₂³×C₄₁	1	4	yes	—
491	#95	C₂³×C₄₁	1	4	yes	—
492	C₂⁴	—	2	2	no	—
493	C₂⁴	—	2	2	no	—
494	C₂⁴	—	2	2	no	—
495	C₂⁴	—	2	2	no	—
496	C₂⁴	#41×C₄₁	1	4	yes	—
497	C₂⁴	#41×C₄₁	1	4	yes	—
498	C₂⁴	#41×C₄₁	1	4	yes	—
499	C₂⁴	C₂⁴×C₄₁	1	2	yes	—
500	C₂⁴	C₂⁴×C₄₁	1	1	yes	characteristic
501	C₂²×C₄	—	2	2	no	—
502	C₂²×C₄	—	2	2	no	—
503	C₂²×C₄	—	2	2	no	—
504	C₂²×C₄	—	2	2	no	—
505	C₂²×C₄	—	2	2	no	—
506	C₂²×C₄	—	2	2	no	—
507	C₂²×C₄	—	2	2	no	—
508	C₂²×C₄	—	2	2	no	—
509	C₂²×C₄	—	2	2	no	—
510	C₂²×C₄	—	2	2	no	—
511	C₂²×C₄	—	2	2	no	—
512	C₂²×C₄	—	2	2	no	—
513	C₂²×C₄	—	2	2	no	—
514	C₂²×C₄	—	2	2	no	—
515	C₂²×C₄	—	2	2	no	—
516	C₂²×C₄	—	2	2	no	—
517	C₂²×C₄	—	2	2	no	—
518	C₂²×C₄	—	2	2	no	—
519	C₂²×C₄	—	2	2	no	—
520	C₂²×C₄	—	2	2	no	—
521	C₂²×C₄	—	2	8	no	—
522	C₂²×C₄	—	2	8	no	—
523	C₂²×C₄	—	2	8	no	—
524	C₂²×C₄	—	2	8	no	—
525	C₂²×C₄	—	2	8	no	—
526	C₂²×C₄	—	2	2	no	—
527	C₂²×C₄	—	2	2	no	—
528	C₂²×C₄	—	2	2	no	—
529	C₂²×C₄	—	2	2	no	—
530	C₂²×C₄	—	2	2	no	—
531	C₂²×C₄	—	2	2	no	—
532	C₂²×C₄	—	2	2	no	—
533	C₂²×C₄	—	2	2	no	—
534	C₂²×C₄	—	2	2	no	—
535	C₂²×C₄	—	2	2	no	—
536	C₂²×C₄	—	2	2	no	—
537	C₂²×C₄	—	2	2	no	—
538	C₂²×C₄	—	2	2	no	—
539	C₂²×C₄	—	2	2	no	—
540	C₂²×C₄	—	2	2	no	—
541	C₂²×C₄	—	2	2	no	—
542	C₂²×C₄	—	2	2	no	—
543	C₂²×C₄	—	2	2	no	—
544	C₂²×C₄	—	2	2	no	—
545	C₂²×C₄	—	2	2	no	—
546	C₂²×C₄	—	2	8	no	—
547	C₂²×C₄	—	2	8	no	—
548	C₂²×C₄	—	4	4	no	—
549	C₂²×C₄	—	4	4	no	—
550	C₂²×C₄	—	4	16	no	—
551	C₂²×C₄	—	4	16	no	—
552	C₂²×C₄	—	4	16	no	—
553	C₂²×C₄	#41×C₄₁	1	4	yes	—
554	C₂²×C₄	#41×C₄₁	1	4	yes	—
555	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
556	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
557	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
558	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
559	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
560	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
561	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
562	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
563	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
564	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
565	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
566	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
567	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
568	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
569	C₄⋊C₄	—	2	8	no	—
570	C₄⋊C₄	—	2	8	no	—
571	C₄⋊C₄	—	2	8	no	—
572	C₄⋊C₄	—	4	4	no	—
573	C₄⋊C₄	—	4	4	no	—
574	C₄⋊C₄	—	4	4	no	—
575	C₂²⋊C₄	—	2	8	no	—
576	C₂²⋊C₄	—	2	8	no	—
577	C₂²⋊C₄	—	2	8	no	—
578	C₂²⋊C₄	—	2	8	no	—
579	C₄²	—	2	8	no	—
580	C₄²	—	4	4	no	—
581	C₂³	—	2	8	no	—
582	C₂³	—	2	8	no	—
583	C₂³	—	2	8	no	—
584	C₂³	—	2	8	no	—
585	C₂³	—	2	8	no	—
586	C₂³	—	2	8	no	—
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	2	no	—
590	C₂³	—	2	2	no	—
591	C₂³	#126×C₄₁	1	16	yes	—
592	C₂³	C₂×#41×C₄₁	1	4	yes	—
593	C₂³	C₂×#41×C₄₁	1	4	yes	—
594	C₂³	C₂×#41×C₄₁	1	4	yes	—
595	C₂³	C₂×#41×C₄₁	1	2	yes	—
596	C₂³	C₂×#41×C₄₁	1	2	yes	—
597	C₂³	C₂×#41×C₄₁	1	2	yes	—
598	C₂³	C₂×#41×C₄₁	1	2	yes	—
599	C₂³	C₂×#41×C₄₁	1	2	yes	—
600	C₂³	H(5,𝔽₂)×C₄₁	1	2	yes	—
601	C₂³	2₋¹⁺⁴×C₄₁	1	2	yes	—
602	C₂³	C₂⁵×C₄₁	1	1	yes	characteristic
603	C₂×C₄	—	2	8	no	—
604	C₂×C₄	—	2	8	no	—
605	C₂×C₄	—	2	2	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	2	2	no	—
610	C₂×C₄	—	2	2	no	—
611	C₂×C₄	—	2	2	no	—
612	C₂×C₄	—	2	2	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	2	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	2	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	2	2	no	—
632	C₂×C₄	—	2	2	no	—
633	C₂×C₄	—	2	2	no	—
634	C₂×C₄	—	2	2	no	—
635	C₂×C₄	—	2	2	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	2	no	—
642	C₂×C₄	—	2	2	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	4	16	no	—
646	C₂×C₄	—	4	16	no	—
647	C₂×C₄	—	4	16	no	—
648	C₂×C₄	—	4	4	no	—
649	C₂×C₄	—	4	4	no	—
650	C₂×C₄	—	4	4	no	—
651	C₂×C₄	—	4	4	no	—
652	C₂×C₄	—	4	4	no	—
653	C₂×C₄	—	4	4	no	—
654	C₂×C₄	—	4	4	no	—
655	C₂×C₄	—	4	4	no	—
656	C₂×C₄	—	4	4	no	—
657	C₂×C₄	—	4	4	no	—
658	C₂×C₄	—	4	4	no	—
659	C₂×C₄	—	4	4	no	—
660	C₂×C₄	C₂×#41×C₄₁	1	4	yes	—
661	C₂×C₄	C₂×#41×C₄₁	1	4	yes	—
662	C₂²	—	2	4	no	—
663	C₂²	—	2	4	no	—
664	C₂²	—	2	4	no	—
665	C₂²	—	2	4	no	—
666	C₂²	—	2	4	no	—
667	C₂²	—	2	4	no	—
668	C₂²	—	2	32	no	—
669	C₂²	C₂×#126×C₄₁	1	8	yes	—
670	C₂²	C₂×#126×C₄₁	1	4	yes	—
671	C₂²	C₄₁×#529	1	4	yes	—
672	C₂²	C₄₁×#539	1	4	yes	—
673	C₂²	C₄₁×#551	1	4	yes	—
674	C₂²	C₄₁×#551	1	4	yes	—
675	C₂²	C₄₁×#552	1	4	yes	—
676	C₂²	C₄₁×#552	1	4	yes	—
677	C₂²	C₂²×#41×C₄₁	1	1	yes	characteristic
678	C₂²	C₂²×#41×C₄₁	1	1	yes	characteristic
679	C₂²	C₂²×#41×C₄₁	1	1	yes	characteristic
680	C₂²	C₂²×#41×C₄₁	1	1	yes	characteristic
681	C₂²	C₂²×#41×C₄₁	1	1	yes	characteristic
682	C₂²	C₂×H(5,𝔽₂)×C₄₁	1	1	yes	characteristic
683	C₂²	C₂×2₋¹⁺⁴×C₄₁	1	1	yes	characteristic
684	C₄	—	2	4	no	—
685	C₄	—	2	4	no	—
686	C₄	—	4	2	no	—
687	C₄	—	4	2	no	—
688	C₄	—	4	2	no	—
689	C₄	—	4	2	no	—
690	C₄	—	4	2	no	—
691	C₄	—	4	2	no	—
692	C₄	—	4	2	no	—
693	C₄	—	4	2	no	—
694	C₄	—	4	2	no	—
695	C₄	—	4	2	no	—
696	C₄	—	4	2	no	—
697	C₄	—	4	2	no	—
698	C₂	—	2	8	no	—
699	C₂	C₄₁×#2493	1	8	yes	direct product factor
700	C₂	C₂²×#126×C₄₁	1	1	yes	characteristic
701	C₂	C₂×C₄₁×#529	1	1	yes	characteristic
702	C₂	C₂×C₄₁×#539	1	1	yes	characteristic
703	C₂	C₂×C₄₁×#551	1	1	yes	characteristic
704	C₂	C₂×C₄₁×#551	1	1	yes	characteristic
705	C₂	C₂×C₄₁×#552	1	1	yes	characteristic
706	C₂	C₂×C₄₁×#552	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₄₁×#2493	C₂	direct (N × H)
2. C₂×C₄₁×#401	C₂	semidirect
3. C₂×C₄₁×#400	C₂	semidirect
4. C₂×C₄₁×#400	C₂	semidirect
5. C₂×C₄₁×#400	C₂	semidirect
6. C₂×C₄₁×#387	C₂	semidirect
7. C₂×C₄₁×#387	C₂	semidirect
8. C₂×C₄₁×#387	C₂	semidirect
11. C₂×C₄₁×#383	C₂	semidirect
32. C₄₁×#401	C₂²	semidirect
33. C₄₁×#400	C₂²	semidirect
34. C₄₁×#400	C₂²	semidirect
35. C₄₁×#400	C₂²	semidirect
36. C₄₁×#387	C₂²	semidirect
37. C₄₁×#387	C₂²	semidirect
38. C₄₁×#387	C₂²	semidirect
41. C₄₁×#383	C₂²	semidirect
308. C₂×#2493	C₄₁	direct (N × H)
345. #2493	C₂×C₄₁	direct (N × H)
346. C₂×#401	C₂×C₄₁	semidirect
347. C₂×#400	C₂×C₄₁	semidirect
348. C₂×#400	C₂×C₄₁	semidirect
349. C₂×#400	C₂×C₄₁	semidirect
350. C₂×#387	C₂×C₄₁	semidirect
351. C₂×#387	C₂×C₄₁	semidirect
352. C₂×#387	C₂×C₄₁	semidirect
355. C₂×#383	C₂×C₄₁	semidirect
362. C₂×C₄₁	#2493	direct (N × H)
385. #401	C₂²×C₄₁	semidirect
386. #400	C₂²×C₄₁	semidirect
387. #400	C₂²×C₄₁	semidirect
388. #400	C₂²×C₄₁	semidirect
389. #387	C₂²×C₄₁	semidirect
390. #387	C₂²×C₄₁	semidirect
391. #387	C₂²×C₄₁	semidirect
394. #383	C₂²×C₄₁	semidirect
420. C₄₁	C₂×#2493	direct (N × H)
699. C₂	C₄₁×#2493	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₁×#2493	2
C₂×C₄₁×#401	2
C₂×C₄₁×#400	2
C₂×C₄₁×#387	2
C₂×C₄₁×#385	2
C₂×C₄₁×#383	2
C₂×C₄₁×#381	2
C₂×C₄₁×#380	2
C₂×C₄×C₂²⋊C₄×C₄₁	2
C₂²×#95×C₄₁	2
C₂×#2493	41

Subgroups — C2×C41×#2493 #23810950

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₄₁×#2493 #23810950