Subgroups — C₄₁×#62163 #23838364

Order 10496.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1060 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3559	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3389	C₂	1	2	yes	maximal, complemented
4	C₄₁×#3366	C₂	1	2	yes	maximal, complemented
5	C₄₁×#3347	C₂	1	2	yes	maximal, complemented
6	C₄₁×#3345	C₂	1	2	yes	maximal, complemented
7	C₄₁×#3339	C₂	1	2	yes	maximal, complemented
8	C₄₁×#3318	C₂	1	2	yes	maximal, complemented
9	C₄₁×#3318	C₂	1	2	yes	maximal, complemented
10	C₄₁×#3294	C₂	1	2	yes	maximal, complemented
11	C₄₁×#3259	C₂	1	2	yes	maximal, complemented
12	C₄₁×#3245	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#3241	C₂	1	2	yes	maximal, complemented
14	C₄₁×#3234	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3122	C₂	1	2	yes	maximal, complemented
16	C₄₁×#3109	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3081	C₂	1	2	yes	maximal, complemented
18	C₂×C₄₁×#478	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#2992	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#563	—	2	1	no	—
21	C₄₁×#562	—	2	1	no	—
22	C₄₁×#555	C₂²	1	1	yes	characteristic
23	C₄₁×#554	C₂²	1	1	yes	characteristic
24	C₄₁×#554	C₂²	1	2	yes	complemented
25	C₄₁×#553	—	2	1	no	—
26	C₄₁×#553	C₂²	1	2	yes	—
27	C₄₁×#553	C₂²	1	2	yes	complemented
28	C₄₁×#553	C₂²	1	2	yes	complemented
29	C₄₁×#550	C₂²	1	1	yes	characteristic
30	C₄₁×#547	—	2	2	no	—
31	C₄₁×#547	C₂²	1	2	yes	complemented
32	C₄₁×#546	—	2	1	no	—
33	C₄₁×#546	—	2	2	no	—
34	D₄²×C₄₁	C₂²	1	2	yes	—
35	D₄²×C₄₁	C₂²	1	1	yes	characteristic
36	C₄₁×#544	C₂²	1	2	yes	complemented
37	C₄₁×#540	C₂²	1	2	yes	—
38	C₄₁×#540	C₂²	1	2	yes	complemented
39	C₄₁×#539	—	2	2	no	—
40	C₄₁×#539	—	2	1	no	—
41	C₄₁×#538	—	2	2	no	—
42	C₄₁×#537	—	2	1	no	—
43	C₄₁×#532	C₂²	1	1	yes	characteristic
44	C₄₁×#532	C₂²	1	1	yes	characteristic, complemented
45	C₄₁×#529	C₂²	1	1	yes	characteristic
46	C₂×#125×C₄₁	C₂²	1	1	yes	characteristic, complemented
47	C₄₁×#525	—	2	1	no	—
48	C₂×#121×C₄₁	—	2	1	no	—
49	C₄₁×#518	C₂²	1	2	yes	—
50	C₂×C₄×D₄×C₄₁	C₂²	1	1	yes	characteristic
51	C₄₁×#501	C₂²	1	2	yes	complemented
52	C₄₁×#501	C₂²	1	2	yes	complemented
53	C₄₁×#499	C₂²	1	2	yes	complemented
54	C₄₁×#490	C₂²	1	2	yes	complemented
55	C₄₁×#490	C₂²	1	2	yes	complemented
56	C₄₁×#486	C₂²	1	2	yes	complemented
57	C₄₁×#482	C₂²	1	2	yes	complemented
58	C₄₁×#482	C₂²	1	2	yes	complemented
59	C₄₁×#482	C₂²	1	2	yes	complemented
60	C₄₁×#482	C₂²	1	2	yes	complemented
61	C₄₁×#481	C₂²	1	2	yes	complemented
62	C₄₁×#481	C₂²	1	2	yes	complemented
63	C₄₁×#481	C₂²	1	2	yes	complemented
64	C₄₁×#480	C₂²	1	2	yes	complemented
65	C₄₁×#480	C₂²	1	2	yes	complemented
66	C₄₁×#478	C₂²	1	2	yes	—
67	C₄₁×#478	C₂²	1	2	yes	—
68	C₄₁×#478	C₂²	1	2	yes	—
69	C₄₁×#478	C₂²	1	2	yes	complemented
70	C₄₁×#478	C₂²	1	2	yes	complemented
71	C₄₁×#478	C₂²	1	2	yes	complemented
72	C₄₁×#478	C₂²	1	2	yes	complemented
73	C₄₁×#478	C₂²	1	2	yes	complemented
74	C₄₁×#478	C₂²	1	2	yes	complemented
75	C₄₁×#478	C₂²	1	2	yes	complemented
76	C₄₁×#476	C₂²	1	1	yes	characteristic
77	C₄₁×#476	C₂²	1	2	yes	complemented
78	C₄₁×#476	C₂²	1	1	yes	characteristic, complemented
79	C₄₁×#474	C₂²	1	2	yes	—
80	C₄₁×#474	C₂²	1	2	yes	complemented
81	C₄₁×#474	C₂²	1	2	yes	complemented
82	C₄₁×#469	C₂²	1	2	yes	complemented
83	C₄₁×#469	C₂²	1	2	yes	complemented
84	C₄₁×#466	C₂²	1	2	yes	complemented
85	C₄₁×#466	C₂²	1	2	yes	complemented
86	C₄₁×#466	C₂²	1	2	yes	complemented
87	C₄₁×#466	C₂²	1	2	yes	complemented
88	C₄₁×#459	C₂²	1	1	yes	characteristic
89	C₄₁×#459	C₂²	1	2	yes	complemented
90	C₄₁×#459	C₂²	1	2	yes	complemented
91	C₄₁×#459	C₂²	1	2	yes	complemented
92	C₄₁×#459	C₂²	1	1	yes	characteristic, complemented
93	C₄₁×#459	C₂²	1	2	yes	complemented
94	C₄₁×#447	C₂²	1	2	yes	—
95	C₄₁×#447	C₂²	1	2	yes	—
96	C₄₁×#447	C₂²	1	2	yes	—
97	C₄₁×#446	C₂²	1	2	yes	complemented
98	C₄₁×#442	C₂²	1	2	yes	—
99	C₄₁×#442	C₂²	1	2	yes	—
100	C₄₁×#442	C₂²	1	2	yes	complemented
101	C₄₁×#442	C₂²	1	2	yes	complemented
102	C₄×D₈×C₄₁	C₂²	1	2	yes	—
103	C₄×D₈×C₄₁	C₂²	1	2	yes	complemented
104	C₄₁×#435	C₂²	1	2	yes	complemented
105	C₄₁×#435	C₂²	1	2	yes	complemented
106	C₈×D₄×C₄₁	C₂²	1	2	yes	complemented
107	C₄₁×#433	C₂²	1	2	yes	complemented
108	C₄₁×#432	C₂²	1	1	yes	characteristic, complemented
109	C₄₁×#428	C₂²	1	2	yes	complemented
110	C₄₁×#427	C₂²	1	2	yes	complemented
111	C₂×#107×C₄₁	C₂²	1	1	yes	characteristic, complemented
112	C₂×#106×C₄₁	C₂²	1	1	yes	characteristic, complemented
113	C₄₁×#424	C₂²	1	2	yes	complemented
114	C₂×C₄⋊C₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
115	C₄₁×#418	C₂²	1	2	yes	—
116	C₂×#102×C₄₁	C₂²	1	1	yes	characteristic
117	C₂×#102×C₄₁	C₂²	1	2	yes	—
118	C₂×#102×C₄₁	C₂²	1	1	yes	characteristic
119	C₂×#41×C₄₁	—	2	1	no	—
120	C₂×#41×C₄₁	—	2	2	no	—
121	C₂×#41×C₄₁	—	2	1	no	—
122	C₂×#41×C₄₁	—	2	1	no	—
123	C₂²×D₄×C₄₁	—	2	1	no	—
124	C₂²×D₄×C₄₁	—	2	2	no	—
125	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₄₁	C₂³	1	2	yes	—
127	C₂³×C₄×C₄₁	—	2	1	no	—
128	C₂×D₈×C₄₁	C₂³	1	2	yes	—
129	C₂×D₈×C₄₁	C₂³	1	2	yes	—
130	C₂×D₈×C₄₁	C₂³	1	2	yes	—
131	C₂×D₈×C₄₁	C₂³	1	2	yes	—
132	C₂×M₁₆×C₄₁	C₂³	1	2	yes	—
133	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
134	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
135	C₂²×C₈×C₄₁	C₂³	1	2	yes	—
136	C₄⋊Q₈×C₄₁	—	2	2	no	—
137	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
138	C₄⋊Q₈×C₄₁	C₂³	1	2	yes	—
139	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
140	#127×C₄₁	C₂³	1	1	yes	characteristic
141	#127×C₄₁	C₂³	1	1	yes	characteristic
142	#127×C₄₁	C₂³	1	2	yes	—
143	#126×C₄₁	—	2	2	no	—
144	#126×C₄₁	—	2	2	no	—
145	#126×C₄₁	—	2	2	no	—
146	#126×C₄₁	D₄	1	2	yes	—
147	#125×C₄₁	—	2	2	no	—
148	#125×C₄₁	—	2	1	no	—
149	#125×C₄₁	—	2	1	no	—
150	#125×C₄₁	D₄	1	1	yes	characteristic
151	#125×C₄₁	C₂³	1	2	yes	—
152	#125×C₄₁	C₂³	1	2	yes	—
153	#125×C₄₁	C₂³	1	2	yes	—
154	#125×C₄₁	C₂³	1	2	yes	—
155	#124×C₄₁	—	2	2	no	—
156	#124×C₄₁	—	2	1	no	—
157	#124×C₄₁	—	2	1	no	—
158	#124×C₄₁	D₄	1	1	yes	characteristic
159	#123×C₄₁	—	2	2	no	—
160	#123×C₄₁	—	2	2	no	—
161	#123×C₄₁	—	2	2	no	—
162	#123×C₄₁	—	2	2	no	—
163	#123×C₄₁	—	2	2	no	—
164	#123×C₄₁	—	2	2	no	—
165	#123×C₄₁	—	2	2	no	—
166	#123×C₄₁	—	2	2	no	—
167	#123×C₄₁	—	2	2	no	—
168	#123×C₄₁	D₄	1	2	yes	—
169	C₂²⋊Q₈×C₄₁	—	2	1	no	—
170	C₂²⋊Q₈×C₄₁	—	2	2	no	—
171	C₂²⋊Q₈×C₄₁	—	2	2	no	—
172	C₂²⋊Q₈×C₄₁	—	2	2	no	—
173	C₂²⋊Q₈×C₄₁	—	2	2	no	—
174	C₂²⋊Q₈×C₄₁	—	2	2	no	—
175	C₂²⋊Q₈×C₄₁	—	2	2	no	—
176	C₂²⋊Q₈×C₄₁	—	2	2	no	—
177	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
178	#121×C₄₁	—	2	2	no	—
179	#121×C₄₁	—	2	1	no	—
180	#121×C₄₁	—	2	2	no	—
181	#121×C₄₁	—	2	2	no	—
182	#121×C₄₁	—	2	1	no	—
183	#121×C₄₁	—	2	1	no	—
184	#121×C₄₁	—	2	1	no	—
185	#121×C₄₁	—	2	1	no	—
186	#121×C₄₁	—	2	2	no	—
187	#121×C₄₁	—	2	2	no	—
188	#121×C₄₁	—	2	2	no	—
189	#121×C₄₁	—	2	2	no	—
190	#121×C₄₁	—	2	2	no	—
191	#121×C₄₁	—	2	2	no	—
192	#121×C₄₁	D₄	1	1	yes	characteristic
193	#121×C₄₁	C₂³	1	2	yes	—
194	#121×C₄₁	C₂³	1	2	yes	—
195	#121×C₄₁	C₂³	1	2	yes	—
196	#121×C₄₁	C₂³	1	2	yes	—
197	#121×C₄₁	C₂³	1	2	yes	—
198	#121×C₄₁	C₂³	1	2	yes	—
199	#120×C₄₁	—	2	2	no	—
200	#120×C₄₁	—	2	2	no	—
201	#120×C₄₁	—	2	2	no	—
202	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
203	C₄×D₄×C₄₁	—	2	2	no	—
204	C₄×D₄×C₄₁	—	2	2	no	—
205	C₄×D₄×C₄₁	—	2	2	no	—
206	C₄×D₄×C₄₁	—	2	2	no	—
207	C₄×D₄×C₄₁	—	2	2	no	—
208	C₄×D₄×C₄₁	—	2	1	no	—
209	C₄×D₄×C₄₁	—	2	1	no	—
210	C₄×D₄×C₄₁	—	2	1	no	—
211	C₄×D₄×C₄₁	—	2	1	no	—
212	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
213	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
214	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
215	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
216	C₄×D₄×C₄₁	C₂³	1	2	yes	—
217	C₄×D₄×C₄₁	C₂³	1	2	yes	—
218	C₄×D₄×C₄₁	C₂³	1	2	yes	—
219	C₄×D₄×C₄₁	C₂³	1	2	yes	—
220	C₄×D₄×C₄₁	C₂³	1	2	yes	—
221	C₄×D₄×C₄₁	C₂³	1	2	yes	—
222	C₄×D₄×C₄₁	C₂³	1	2	yes	—
223	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
224	#117×C₄₁	—	2	1	no	—
225	#117×C₄₁	C₂³	1	2	yes	—
226	#117×C₄₁	C₂³	1	2	yes	—
227	#117×C₄₁	C₂³	1	2	yes	—
228	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
229	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
230	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
231	C₂×C₄⋊C₄×C₄₁	—	2	2	no	—
232	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₄₁	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
237	C₂×C₂²⋊C₄×C₄₁	—	2	2	no	—
238	C₂×C₂²⋊C₄×C₄₁	—	2	2	no	—
239	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
240	#107×C₄₁	C₂³	1	2	yes	—
241	#107×C₄₁	C₂³	1	2	yes	—
242	#107×C₄₁	C₂³	1	2	yes	—
243	#107×C₄₁	C₂³	1	2	yes	—
244	#107×C₄₁	C₂³	1	2	yes	—
245	#107×C₄₁	C₂³	1	2	yes	—
246	#106×C₄₁	C₂³	1	2	yes	—
247	#106×C₄₁	C₂³	1	2	yes	—
248	#106×C₄₁	C₂³	1	2	yes	—
249	#106×C₄₁	C₂³	1	2	yes	—
250	#106×C₄₁	C₂³	1	2	yes	—
251	#106×C₄₁	C₂³	1	2	yes	—
252	C₄⋊C₈×C₄₁	C₂³	1	2	yes	—
253	C₄⋊C₈×C₄₁	C₂³	1	2	yes	—
254	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
255	C₄⋊C₈×C₄₁	C₂³	1	2	yes	—
256	C₄⋊C₈×C₄₁	C₂³	1	2	yes	—
257	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
258	#102×C₄₁	C₂³	1	2	yes	—
259	#102×C₄₁	C₂³	1	2	yes	—
260	#102×C₄₁	C₂³	1	2	yes	—
261	#102×C₄₁	C₂³	1	2	yes	—
262	#102×C₄₁	C₂³	1	2	yes	—
263	#102×C₄₁	C₂³	1	2	yes	—
264	#102×C₄₁	C₂³	1	2	yes	—
265	#102×C₄₁	C₂³	1	2	yes	—
266	#102×C₄₁	C₂³	1	2	yes	—
267	#102×C₄₁	C₂³	1	2	yes	—
268	#102×C₄₁	C₂³	1	2	yes	—
269	#102×C₄₁	C₂³	1	2	yes	—
270	#102×C₄₁	C₂³	1	2	yes	—
271	#102×C₄₁	C₂³	1	2	yes	—
272	#102×C₄₁	C₂³	1	2	yes	—
273	#102×C₄₁	C₂³	1	2	yes	—
274	C₂²⋊C₈×C₄₁	C₂³	1	2	yes	—
275	C₂²⋊C₈×C₄₁	C₂³	1	2	yes	—
276	C₂²⋊C₈×C₄₁	C₂³	1	2	yes	—
277	#97×C₄₁	C₂³	1	2	yes	—
278	#97×C₄₁	C₂³	1	2	yes	—
279	C₄×C₈×C₄₁	C₂³	1	2	yes	—
280	C₂⁴×C₄₁	—	2	1	no	—
281	C₂⁴×C₄₁	—	2	2	no	—
282	#41×C₄₁	—	8	2	no	—
283	#41×C₄₁	—	8	2	no	—
284	#41×C₄₁	—	8	4	no	—
285	#41×C₄₁	—	8	2	no	—
286	C₂×Q₈×C₄₁	—	2	2	no	—
287	C₂×Q₈×C₄₁	—	2	1	no	—
288	C₂×Q₈×C₄₁	—	2	1	no	—
289	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
290	C₂×D₄×C₄₁	—	2	2	no	—
291	C₂×D₄×C₄₁	—	2	4	no	—
292	C₂×D₄×C₄₁	—	2	2	no	—
293	C₂×D₄×C₄₁	—	2	2	no	—
294	C₂×D₄×C₄₁	—	2	2	no	—
295	C₂×D₄×C₄₁	—	2	2	no	—
296	C₂×D₄×C₄₁	—	2	2	no	—
297	C₂×D₄×C₄₁	—	2	2	no	—
298	C₂×D₄×C₄₁	—	2	2	no	—
299	C₂×D₄×C₄₁	—	2	1	no	—
300	C₂×D₄×C₄₁	—	2	1	no	—
301	C₂×D₄×C₄₁	—	2	1	no	—
302	C₂×D₄×C₄₁	—	2	2	no	—
303	C₂×D₄×C₄₁	—	2	1	no	—
304	C₂×D₄×C₄₁	—	2	2	no	—
305	C₂×D₄×C₄₁	—	2	1	no	—
306	C₂×D₄×C₄₁	—	4	1	no	—
307	C₂×D₄×C₄₁	—	4	2	no	—
308	C₂×D₄×C₄₁	—	8	2	no	—
309	C₂×D₄×C₄₁	—	8	4	no	—
310	C₂×D₄×C₄₁	C₂×D₄	1	2	yes	—
311	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
312	C₂×D₄×C₄₁	C₂⁴	1	2	yes	—
313	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
314	C₂×D₄×C₄₁	C₂⁴	1	2	yes	—
315	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₄₁	—	2	1	no	—
317	C₂²×C₄×C₄₁	—	2	1	no	—
318	C₂²×C₄×C₄₁	—	2	1	no	—
319	C₂²×C₄×C₄₁	—	2	2	no	—
320	C₂²×C₄×C₄₁	—	2	1	no	—
321	C₂²×C₄×C₄₁	—	2	1	no	—
322	C₂²×C₄×C₄₁	—	2	1	no	—
323	C₂²×C₄×C₄₁	—	2	2	no	—
324	C₂²×C₄×C₄₁	—	2	2	no	—
325	C₂²×C₄×C₄₁	—	2	2	no	—
326	C₂²×C₄×C₄₁	—	2	2	no	—
327	C₂²×C₄×C₄₁	—	2	2	no	—
328	C₂²×C₄×C₄₁	—	2	2	no	—
329	C₂²×C₄×C₄₁	—	2	1	no	—
330	C₂²×C₄×C₄₁	—	8	2	no	—
331	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
335	D₈×C₄₁	—	2	4	no	—
336	D₈×C₄₁	—	4	2	no	—
337	D₈×C₄₁	—	4	2	no	—
338	D₈×C₄₁	—	4	2	no	—
339	M₁₆×C₄₁	—	4	2	no	—
340	C₂×C₈×C₄₁	—	4	1	no	—
341	C₂×C₈×C₄₁	—	4	2	no	—
342	C₂×C₈×C₄₁	—	4	1	no	—
343	C₂×C₈×C₄₁	C₂⁴	1	2	yes	—
344	C₂×C₈×C₄₁	C₂⁴	1	2	yes	—
345	C₂×C₈×C₄₁	C₂⁴	1	2	yes	—
346	C₂×C₈×C₄₁	C₂⁴	1	2	yes	—
347	C₄⋊C₄×C₄₁	—	2	2	no	—
348	C₄⋊C₄×C₄₁	—	2	1	no	—
349	C₄⋊C₄×C₄₁	—	2	2	no	—
350	C₄⋊C₄×C₄₁	—	2	2	no	—
351	C₄⋊C₄×C₄₁	—	2	2	no	—
352	C₄⋊C₄×C₄₁	—	2	2	no	—
353	C₄⋊C₄×C₄₁	—	2	2	no	—
354	C₄⋊C₄×C₄₁	—	2	2	no	—
355	C₄⋊C₄×C₄₁	—	2	1	no	—
356	C₄⋊C₄×C₄₁	—	2	1	no	—
357	C₄⋊C₄×C₄₁	—	2	2	no	—
358	C₄⋊C₄×C₄₁	—	2	1	no	—
359	C₄⋊C₄×C₄₁	—	2	2	no	—
360	C₄⋊C₄×C₄₁	—	2	1	no	—
361	C₄⋊C₄×C₄₁	—	2	2	no	—
362	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
363	C₄⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
364	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
365	C₄⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
366	C₄⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
367	C₄⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
368	C₄⋊C₄×C₄₁	C₂⁴	1	2	yes	—
369	C₄⋊C₄×C₄₁	C₂⁴	1	2	yes	—
370	C₄⋊C₄×C₄₁	C₂⁴	1	2	yes	—
371	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
372	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
373	C₄⋊C₄×C₄₁	C₂⁴	1	2	yes	—
374	C₂²⋊C₄×C₄₁	—	2	2	no	—
375	C₂²⋊C₄×C₄₁	—	2	2	no	—
376	C₂²⋊C₄×C₄₁	—	2	1	no	—
377	C₂²⋊C₄×C₄₁	—	2	2	no	—
378	C₂²⋊C₄×C₄₁	—	2	1	no	—
379	C₂²⋊C₄×C₄₁	—	2	2	no	—
380	C₂²⋊C₄×C₄₁	—	2	1	no	—
381	C₂²⋊C₄×C₄₁	—	2	2	no	—
382	C₂²⋊C₄×C₄₁	—	2	1	no	—
383	C₂²⋊C₄×C₄₁	—	2	2	no	—
384	C₂²⋊C₄×C₄₁	—	2	2	no	—
385	C₂²⋊C₄×C₄₁	—	2	2	no	—
386	C₂²⋊C₄×C₄₁	—	2	2	no	—
387	C₂²⋊C₄×C₄₁	—	2	2	no	—
388	C₂²⋊C₄×C₄₁	—	2	2	no	—
389	C₂²⋊C₄×C₄₁	—	2	2	no	—
390	C₂²⋊C₄×C₄₁	—	2	2	no	—
391	C₂²⋊C₄×C₄₁	—	2	2	no	—
392	C₂²⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
393	C₂²⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
394	C₂²⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
395	C₂²⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
396	C₂²⋊C₄×C₄₁	C₂×D₄	1	2	yes	—
397	C₄²×C₄₁	—	2	2	no	—
398	C₄²×C₄₁	—	2	2	no	—
399	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
400	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
401	C₄²×C₄₁	C₂⁴	1	2	yes	—
402	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
403	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
404	C₂³×C₄₁	—	2	1	no	—
405	C₂³×C₄₁	—	2	2	no	—
406	C₂³×C₄₁	—	2	1	no	—
407	C₂³×C₄₁	—	2	2	no	—
408	C₂³×C₄₁	—	4	2	no	—
409	C₂³×C₄₁	—	4	4	no	—
410	C₂³×C₄₁	—	4	2	no	—
411	C₂³×C₄₁	—	8	1	no	—
412	C₂³×C₄₁	—	8	2	no	—
413	C₂³×C₄₁	—	8	2	no	—
414	C₂³×C₄₁	C₂²×D₄	1	2	yes	—
415	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
416	Q₈×C₄₁	—	4	1	no	—
417	Q₈×C₄₁	—	8	1	no	—
418	Q₈×C₄₁	—	8	1	no	—
419	Q₈×C₄₁	—	8	2	no	—
420	D₄×C₄₁	—	2	4	no	—
421	D₄×C₄₁	—	2	2	no	—
422	D₄×C₄₁	—	2	1	no	—
423	D₄×C₄₁	—	2	2	no	—
424	D₄×C₄₁	—	2	1	no	—
425	D₄×C₄₁	—	2	2	no	—
426	D₄×C₄₁	—	2	1	no	—
427	D₄×C₄₁	—	2	2	no	—
428	D₄×C₄₁	—	4	1	no	—
429	D₄×C₄₁	—	4	2	no	—
430	D₄×C₄₁	—	4	4	no	—
431	D₄×C₄₁	—	4	2	no	—
432	D₄×C₄₁	—	4	4	no	—
433	D₄×C₄₁	—	4	4	no	—
434	D₄×C₄₁	—	8	1	no	—
435	D₄×C₄₁	—	8	2	no	—
436	D₄×C₄₁	—	8	2	no	—
437	D₄×C₄₁	—	8	1	no	—
438	D₄×C₄₁	—	8	1	no	—
439	D₄×C₄₁	—	8	2	no	—
440	D₄×C₄₁	—	8	2	no	—
441	D₄×C₄₁	—	8	2	no	—
442	D₄×C₄₁	—	8	2	no	—
443	D₄×C₄₁	2₋¹⁺⁴	1	2	yes	—
444	C₂×C₄×C₄₁	—	2	2	no	—
445	C₂×C₄×C₄₁	—	2	1	no	—
446	C₂×C₄×C₄₁	—	2	2	no	—
447	C₂×C₄×C₄₁	—	2	1	no	—
448	C₂×C₄×C₄₁	—	2	2	no	—
449	C₂×C₄×C₄₁	—	2	1	no	—
450	C₂×C₄×C₄₁	—	2	2	no	—
451	C₂×C₄×C₄₁	—	2	2	no	—
452	C₂×C₄×C₄₁	—	2	2	no	—
453	C₂×C₄×C₄₁	—	2	1	no	—
454	C₂×C₄×C₄₁	—	2	2	no	—
455	C₂×C₄×C₄₁	—	4	1	no	—
456	C₂×C₄×C₄₁	—	4	2	no	—
457	C₂×C₄×C₄₁	—	4	2	no	—
458	C₂×C₄×C₄₁	—	4	2	no	—
459	C₂×C₄×C₄₁	—	8	2	no	—
460	C₂×C₄×C₄₁	—	8	1	no	—
461	C₂×C₄×C₄₁	—	8	1	no	—
462	C₂×C₄×C₄₁	—	8	2	no	—
463	C₂×C₄×C₄₁	—	8	2	no	—
464	C₂×C₄×C₄₁	—	8	2	no	—
465	C₂×C₄×C₄₁	—	8	2	no	—
466	C₂×C₄×C₄₁	—	8	2	no	—
467	C₂×C₄×C₄₁	—	8	1	no	—
468	C₂×C₄×C₄₁	—	8	1	no	—
469	C₂×C₄×C₄₁	—	8	2	no	—
470	C₂×C₄×C₄₁	C₂²×D₄	1	2	yes	—
471	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
474	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₄₁	C₂²×D₄	1	2	yes	—
477	C₂×C₄×C₄₁	C₂²×D₄	1	2	yes	—
478	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
479	C₈×C₄₁	—	2	2	no	—
480	C₈×C₄₁	—	2	2	no	—
481	C₈×C₄₁	—	2	2	no	—
482	C₈×C₄₁	—	2	2	no	—
483	#62163	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
484	C₂²×C₄₁	—	2	1	no	—
485	C₂²×C₄₁	—	2	1	no	—
486	C₂²×C₄₁	—	2	2	no	—
487	C₂²×C₄₁	—	2	2	no	—
488	C₂²×C₄₁	—	2	2	no	—
489	C₂²×C₄₁	—	2	2	no	—
490	C₂²×C₄₁	—	4	1	no	—
491	C₂²×C₄₁	—	4	1	no	—
492	C₂²×C₄₁	—	4	1	no	—
493	C₂²×C₄₁	—	4	2	no	—
494	C₂²×C₄₁	—	4	2	no	—
495	C₂²×C₄₁	—	4	1	no	—
496	C₂²×C₄₁	—	4	2	no	—
497	C₂²×C₄₁	—	4	2	no	—
498	C₂²×C₄₁	—	4	2	no	—
499	C₂²×C₄₁	—	4	2	no	—
500	C₂²×C₄₁	—	4	1	no	—
501	C₂²×C₄₁	—	8	4	no	—
502	C₂²×C₄₁	—	16	4	no	—
503	C₂²×C₄₁	#576	1	2	yes	—
504	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
505	C₄×C₄₁	—	2	1	no	—
506	C₄×C₄₁	—	2	1	no	—
507	C₄×C₄₁	—	2	2	no	—
508	C₄×C₄₁	—	2	1	no	—
509	C₄×C₄₁	—	2	2	no	—
510	C₄×C₄₁	—	2	1	no	—
511	C₄×C₄₁	—	2	1	no	—
512	C₄×C₄₁	—	2	2	no	—
513	C₄×C₄₁	—	4	1	no	—
514	C₄×C₄₁	—	4	1	no	—
515	C₄×C₄₁	—	4	2	no	—
516	C₄×C₄₁	—	4	2	no	—
517	C₄×C₄₁	—	4	2	no	—
518	C₄×C₄₁	—	4	2	no	—
519	C₄×C₄₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
520	C₄×C₄₁	#585	1	1	yes	characteristic
521	#3559	C₂×C₄₁	1	1	yes	characteristic, complemented
522	#3519	C₂×C₄₁	1	1	yes	characteristic, complemented
523	#3389	C₂×C₄₁	1	2	yes	complemented
524	#3366	C₂×C₄₁	1	2	yes	complemented
525	#3347	C₂×C₄₁	1	2	yes	complemented
526	#3345	C₂×C₄₁	1	2	yes	complemented
527	#3339	C₂×C₄₁	1	2	yes	complemented
528	#3318	C₂×C₄₁	1	2	yes	complemented
529	#3318	C₂×C₄₁	1	2	yes	complemented
530	#3294	C₂×C₄₁	1	2	yes	complemented
531	#3259	C₂×C₄₁	1	2	yes	complemented
532	#3245	C₂×C₄₁	1	1	yes	characteristic, complemented
533	#3241	C₂×C₄₁	1	2	yes	complemented
534	#3234	C₂×C₄₁	1	1	yes	characteristic, complemented
535	#3122	C₂×C₄₁	1	2	yes	complemented
536	#3109	C₂×C₄₁	1	1	yes	characteristic, complemented
537	#3081	C₂×C₄₁	1	2	yes	complemented
538	C₂×#478	C₂×C₄₁	1	1	yes	characteristic, complemented
539	#2992	C₂×C₄₁	1	1	yes	characteristic, complemented
540	C₂×C₄₁	—	2	2	no	—
541	C₂×C₄₁	—	4	2	no	—
542	C₂×C₄₁	—	4	2	no	—
543	C₂×C₄₁	—	8	2	no	—
544	C₂×C₄₁	—	8	1	no	—
545	C₂×C₄₁	—	8	2	no	—
546	C₂×C₄₁	#3489	1	1	yes	characteristic
547	C₂×C₄₁	C₂×#576	1	1	yes	characteristic
548	C₂×C₄₁	#3585	1	1	yes	characteristic
549	#563	—	2	1	no	—
550	#562	—	2	1	no	—
551	#555	C₂²×C₄₁	1	1	yes	characteristic
552	#554	C₂²×C₄₁	1	1	yes	characteristic
553	#554	C₂²×C₄₁	1	2	yes	complemented
554	#553	—	2	1	no	—
555	#553	C₂²×C₄₁	1	2	yes	—
556	#553	C₂²×C₄₁	1	2	yes	complemented
557	#553	C₂²×C₄₁	1	2	yes	complemented
558	#550	C₂²×C₄₁	1	1	yes	characteristic
559	#547	—	2	2	no	—
560	#547	C₂²×C₄₁	1	2	yes	complemented
561	#546	—	2	1	no	—
562	#546	—	2	2	no	—
563	D₄²	C₂²×C₄₁	1	2	yes	—
564	D₄²	C₂²×C₄₁	1	1	yes	characteristic
565	#544	C₂²×C₄₁	1	2	yes	complemented
566	#540	C₂²×C₄₁	1	2	yes	—
567	#540	C₂²×C₄₁	1	2	yes	complemented
568	#539	—	2	2	no	—
569	#539	—	2	1	no	—
570	#538	—	2	2	no	—
571	#537	—	2	1	no	—
572	#532	C₂²×C₄₁	1	1	yes	characteristic
573	#532	C₂²×C₄₁	1	1	yes	characteristic, complemented
574	#529	C₂²×C₄₁	1	1	yes	characteristic
575	C₂×#125	C₂²×C₄₁	1	1	yes	characteristic, complemented
576	#525	—	2	1	no	—
577	C₂×#121	—	2	1	no	—
578	#518	C₂²×C₄₁	1	2	yes	—
579	C₂×C₄×D₄	C₂²×C₄₁	1	1	yes	characteristic
580	#501	C₂²×C₄₁	1	2	yes	complemented
581	#501	C₂²×C₄₁	1	2	yes	complemented
582	#499	C₂²×C₄₁	1	2	yes	complemented
583	#490	C₂²×C₄₁	1	2	yes	complemented
584	#490	C₂²×C₄₁	1	2	yes	complemented
585	#486	C₂²×C₄₁	1	2	yes	complemented
586	#482	C₂²×C₄₁	1	2	yes	complemented
587	#482	C₂²×C₄₁	1	2	yes	complemented
588	#482	C₂²×C₄₁	1	2	yes	complemented
589	#482	C₂²×C₄₁	1	2	yes	complemented
590	#481	C₂²×C₄₁	1	2	yes	complemented
591	#481	C₂²×C₄₁	1	2	yes	complemented
592	#481	C₂²×C₄₁	1	2	yes	complemented
593	#480	C₂²×C₄₁	1	2	yes	complemented
594	#480	C₂²×C₄₁	1	2	yes	complemented
595	#478	C₂²×C₄₁	1	2	yes	—
596	#478	C₂²×C₄₁	1	2	yes	—
597	#478	C₂²×C₄₁	1	2	yes	—
598	#478	C₂²×C₄₁	1	2	yes	complemented
599	#478	C₂²×C₄₁	1	2	yes	complemented
600	#478	C₂²×C₄₁	1	2	yes	complemented
601	#478	C₂²×C₄₁	1	2	yes	complemented
602	#478	C₂²×C₄₁	1	2	yes	complemented
603	#478	C₂²×C₄₁	1	2	yes	complemented
604	#478	C₂²×C₄₁	1	2	yes	complemented
605	#476	C₂²×C₄₁	1	1	yes	characteristic
606	#476	C₂²×C₄₁	1	2	yes	complemented
607	#476	C₂²×C₄₁	1	1	yes	characteristic, complemented
608	#474	C₂²×C₄₁	1	2	yes	—
609	#474	C₂²×C₄₁	1	2	yes	complemented
610	#474	C₂²×C₄₁	1	2	yes	complemented
611	#469	C₂²×C₄₁	1	2	yes	complemented
612	#469	C₂²×C₄₁	1	2	yes	complemented
613	#466	C₂²×C₄₁	1	2	yes	complemented
614	#466	C₂²×C₄₁	1	2	yes	complemented
615	#466	C₂²×C₄₁	1	2	yes	complemented
616	#466	C₂²×C₄₁	1	2	yes	complemented
617	#459	C₂²×C₄₁	1	1	yes	characteristic
618	#459	C₂²×C₄₁	1	1	yes	characteristic, complemented
619	#459	C₂²×C₄₁	1	2	yes	complemented
620	#459	C₂²×C₄₁	1	2	yes	complemented
621	#459	C₂²×C₄₁	1	2	yes	complemented
622	#459	C₂²×C₄₁	1	2	yes	complemented
623	#447	C₂²×C₄₁	1	2	yes	—
624	#447	C₂²×C₄₁	1	2	yes	—
625	#447	C₂²×C₄₁	1	2	yes	—
626	#446	C₂²×C₄₁	1	2	yes	complemented
627	#442	C₂²×C₄₁	1	2	yes	—
628	#442	C₂²×C₄₁	1	2	yes	—
629	#442	C₂²×C₄₁	1	2	yes	complemented
630	#442	C₂²×C₄₁	1	2	yes	complemented
631	C₄×D₈	C₂²×C₄₁	1	2	yes	—
632	C₄×D₈	C₂²×C₄₁	1	2	yes	complemented
633	#435	C₂²×C₄₁	1	2	yes	complemented
634	#435	C₂²×C₄₁	1	2	yes	complemented
635	C₈×D₄	C₂²×C₄₁	1	2	yes	complemented
636	#433	C₂²×C₄₁	1	2	yes	complemented
637	#432	C₂²×C₄₁	1	1	yes	characteristic, complemented
638	#428	C₂²×C₄₁	1	2	yes	complemented
639	#427	C₂²×C₄₁	1	2	yes	complemented
640	C₂×#107	C₂²×C₄₁	1	1	yes	characteristic, complemented
641	C₂×#106	C₂²×C₄₁	1	1	yes	characteristic, complemented
642	#424	C₂²×C₄₁	1	2	yes	complemented
643	C₂×C₄⋊C₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
644	#418	C₂²×C₄₁	1	2	yes	—
645	C₂×#102	C₂²×C₄₁	1	1	yes	characteristic
646	C₂×#102	C₂²×C₄₁	1	1	yes	characteristic
647	C₂×#102	C₂²×C₄₁	1	2	yes	—
648	C₄₁	#62163	1	1	yes	characteristic, direct product factor, Sylow
649	C₂×#41	—	2	1	no	—
650	C₂×#41	—	2	2	no	—
651	C₂×#41	—	2	1	no	—
652	C₂×#41	—	2	1	no	—
653	C₂²×D₄	—	2	1	no	—
654	C₂²×D₄	—	2	2	no	—
655	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
656	C₂²×D₄	C₂³×C₄₁	1	2	yes	—
657	C₂³×C₄	—	2	1	no	—
658	C₂×D₈	C₂³×C₄₁	1	2	yes	—
659	C₂×D₈	C₂³×C₄₁	1	2	yes	—
660	C₂×D₈	C₂³×C₄₁	1	2	yes	—
661	C₂×D₈	C₂³×C₄₁	1	2	yes	—
662	C₂×M₁₆	C₂³×C₄₁	1	2	yes	—
663	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
664	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
665	C₂²×C₈	C₂³×C₄₁	1	2	yes	—
666	C₄⋊Q₈	—	2	2	no	—
667	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
668	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
669	C₄⋊Q₈	C₂³×C₄₁	1	2	yes	—
670	#127	C₂³×C₄₁	1	1	yes	characteristic
671	#127	C₂³×C₄₁	1	1	yes	characteristic
672	#127	C₂³×C₄₁	1	2	yes	—
673	#126	—	2	2	no	—
674	#126	—	2	2	no	—
675	#126	—	2	2	no	—
676	#126	D₄×C₄₁	1	2	yes	—
677	#125	—	2	2	no	—
678	#125	—	2	1	no	—
679	#125	—	2	1	no	—
680	#125	D₄×C₄₁	1	1	yes	characteristic
681	#125	C₂³×C₄₁	1	2	yes	—
682	#125	C₂³×C₄₁	1	2	yes	—
683	#125	C₂³×C₄₁	1	2	yes	—
684	#125	C₂³×C₄₁	1	2	yes	—
685	#124	—	2	2	no	—
686	#124	—	2	1	no	—
687	#124	—	2	1	no	—
688	#124	D₄×C₄₁	1	1	yes	characteristic
689	#123	—	2	2	no	—
690	#123	—	2	2	no	—
691	#123	—	2	2	no	—
692	#123	—	2	2	no	—
693	#123	—	2	2	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	#123	D₄×C₄₁	1	2	yes	—
699	C₂²⋊Q₈	—	2	1	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	—	2	2	no	—
705	C₂²⋊Q₈	—	2	2	no	—
706	C₂²⋊Q₈	—	2	2	no	—
707	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
708	#121	—	2	2	no	—
709	#121	—	2	1	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	1	no	—
713	#121	—	2	1	no	—
714	#121	—	2	1	no	—
715	#121	—	2	1	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	—	2	2	no	—
720	#121	—	2	2	no	—
721	#121	—	2	2	no	—
722	#121	D₄×C₄₁	1	1	yes	characteristic
723	#121	C₂³×C₄₁	1	2	yes	—
724	#121	C₂³×C₄₁	1	2	yes	—
725	#121	C₂³×C₄₁	1	2	yes	—
726	#121	C₂³×C₄₁	1	2	yes	—
727	#121	C₂³×C₄₁	1	2	yes	—
728	#121	C₂³×C₄₁	1	2	yes	—
729	#120	—	2	2	no	—
730	#120	—	2	2	no	—
731	#120	—	2	2	no	—
732	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
733	C₄×D₄	—	2	2	no	—
734	C₄×D₄	—	2	2	no	—
735	C₄×D₄	—	2	2	no	—
736	C₄×D₄	—	2	2	no	—
737	C₄×D₄	—	2	2	no	—
738	C₄×D₄	—	2	1	no	—
739	C₄×D₄	—	2	1	no	—
740	C₄×D₄	—	2	1	no	—
741	C₄×D₄	—	2	1	no	—
742	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
743	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
744	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
745	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
746	C₄×D₄	C₂³×C₄₁	1	2	yes	—
747	C₄×D₄	C₂³×C₄₁	1	2	yes	—
748	C₄×D₄	C₂³×C₄₁	1	2	yes	—
749	C₄×D₄	C₂³×C₄₁	1	2	yes	—
750	C₄×D₄	C₂³×C₄₁	1	2	yes	—
751	C₄×D₄	C₂³×C₄₁	1	2	yes	—
752	C₄×D₄	C₂³×C₄₁	1	2	yes	—
753	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
754	#117	—	2	1	no	—
755	#117	C₂³×C₄₁	1	2	yes	—
756	#117	C₂³×C₄₁	1	2	yes	—
757	#117	C₂³×C₄₁	1	2	yes	—
758	C₂×C₄⋊C₄	—	2	1	no	—
759	C₂×C₄⋊C₄	—	2	1	no	—
760	C₂×C₄⋊C₄	—	2	1	no	—
761	C₂×C₄⋊C₄	—	2	2	no	—
762	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
763	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂³×C₄₁	1	2	yes	—
766	C₂×C₂²⋊C₄	—	2	1	no	—
767	C₂×C₂²⋊C₄	—	2	2	no	—
768	C₂×C₂²⋊C₄	—	2	2	no	—
769	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
770	#107	C₂³×C₄₁	1	2	yes	—
771	#107	C₂³×C₄₁	1	2	yes	—
772	#107	C₂³×C₄₁	1	2	yes	—
773	#107	C₂³×C₄₁	1	2	yes	—
774	#107	C₂³×C₄₁	1	2	yes	—
775	#107	C₂³×C₄₁	1	2	yes	—
776	#106	C₂³×C₄₁	1	2	yes	—
777	#106	C₂³×C₄₁	1	2	yes	—
778	#106	C₂³×C₄₁	1	2	yes	—
779	#106	C₂³×C₄₁	1	2	yes	—
780	#106	C₂³×C₄₁	1	2	yes	—
781	#106	C₂³×C₄₁	1	2	yes	—
782	C₄⋊C₈	C₂³×C₄₁	1	2	yes	—
783	C₄⋊C₈	C₂³×C₄₁	1	2	yes	—
784	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
785	C₄⋊C₈	C₂³×C₄₁	1	2	yes	—
786	C₄⋊C₈	C₂³×C₄₁	1	2	yes	—
787	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
788	#102	C₂³×C₄₁	1	2	yes	—
789	#102	C₂³×C₄₁	1	2	yes	—
790	#102	C₂³×C₄₁	1	2	yes	—
791	#102	C₂³×C₄₁	1	2	yes	—
792	#102	C₂³×C₄₁	1	2	yes	—
793	#102	C₂³×C₄₁	1	2	yes	—
794	#102	C₂³×C₄₁	1	2	yes	—
795	#102	C₂³×C₄₁	1	2	yes	—
796	#102	C₂³×C₄₁	1	2	yes	—
797	#102	C₂³×C₄₁	1	2	yes	—
798	#102	C₂³×C₄₁	1	2	yes	—
799	#102	C₂³×C₄₁	1	2	yes	—
800	#102	C₂³×C₄₁	1	2	yes	—
801	#102	C₂³×C₄₁	1	2	yes	—
802	#102	C₂³×C₄₁	1	2	yes	—
803	#102	C₂³×C₄₁	1	2	yes	—
804	C₂²⋊C₈	C₂³×C₄₁	1	2	yes	—
805	C₂²⋊C₈	C₂³×C₄₁	1	2	yes	—
806	C₂²⋊C₈	C₂³×C₄₁	1	2	yes	—
807	#97	C₂³×C₄₁	1	2	yes	—
808	#97	C₂³×C₄₁	1	2	yes	—
809	C₄×C₈	C₂³×C₄₁	1	2	yes	—
810	C₂⁴	—	2	1	no	—
811	C₂⁴	—	2	2	no	—
812	#41	—	8	2	no	—
813	#41	—	8	2	no	—
814	#41	—	8	4	no	—
815	#41	—	8	2	no	—
816	C₂×Q₈	—	2	2	no	—
817	C₂×Q₈	—	2	1	no	—
818	C₂×Q₈	—	2	1	no	—
819	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	4	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	2	1	no	—
830	C₂×D₄	—	2	1	no	—
831	C₂×D₄	—	2	1	no	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	2	1	no	—
834	C₂×D₄	—	2	2	no	—
835	C₂×D₄	—	2	1	no	—
836	C₂×D₄	—	4	1	no	—
837	C₂×D₄	—	4	2	no	—
838	C₂×D₄	—	8	2	no	—
839	C₂×D₄	—	8	4	no	—
840	C₂×D₄	C₂×D₄×C₄₁	1	2	yes	—
841	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
842	C₂×D₄	C₂⁴×C₄₁	1	2	yes	—
843	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
844	C₂×D₄	C₂⁴×C₄₁	1	2	yes	—
845	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
846	C₂²×C₄	—	2	1	no	—
847	C₂²×C₄	—	2	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	2	no	—
850	C₂²×C₄	—	2	1	no	—
851	C₂²×C₄	—	2	1	no	—
852	C₂²×C₄	—	2	1	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	2	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	1	no	—
860	C₂²×C₄	—	8	2	no	—
861	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
862	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
864	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
865	D₈	—	2	4	no	—
866	D₈	—	4	2	no	—
867	D₈	—	4	2	no	—
868	D₈	—	4	2	no	—
869	M₁₆	—	4	2	no	—
870	C₂×C₈	—	4	1	no	—
871	C₂×C₈	—	4	2	no	—
872	C₂×C₈	—	4	1	no	—
873	C₂×C₈	C₂⁴×C₄₁	1	2	yes	—
874	C₂×C₈	C₂⁴×C₄₁	1	2	yes	—
875	C₂×C₈	C₂⁴×C₄₁	1	2	yes	—
876	C₂×C₈	C₂⁴×C₄₁	1	2	yes	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	1	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	1	no	—
886	C₄⋊C₄	—	2	1	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	1	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	2	1	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
893	C₄⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
894	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
895	C₄⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
896	C₄⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
897	C₄⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
898	C₄⋊C₄	C₂⁴×C₄₁	1	2	yes	—
899	C₄⋊C₄	C₂⁴×C₄₁	1	2	yes	—
900	C₄⋊C₄	C₂⁴×C₄₁	1	2	yes	—
901	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
902	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
903	C₄⋊C₄	C₂⁴×C₄₁	1	2	yes	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	1	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	1	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	1	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	1	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	—	2	2	no	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
923	C₂²⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
924	C₂²⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
925	C₂²⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
926	C₂²⋊C₄	C₂×D₄×C₄₁	1	2	yes	—
927	C₄²	—	2	2	no	—
928	C₄²	—	2	2	no	—
929	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
930	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
931	C₄²	C₂⁴×C₄₁	1	2	yes	—
932	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
933	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
934	C₂³	—	2	1	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	2	1	no	—
938	C₂³	—	4	2	no	—
939	C₂³	—	4	4	no	—
940	C₂³	—	4	2	no	—
941	C₂³	—	8	1	no	—
942	C₂³	—	8	2	no	—
943	C₂³	—	8	2	no	—
944	C₂³	C₂²×D₄×C₄₁	1	2	yes	—
945	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
946	Q₈	—	4	1	no	—
947	Q₈	—	8	1	no	—
948	Q₈	—	8	1	no	—
949	Q₈	—	8	2	no	—
950	D₄	—	2	4	no	—
951	D₄	—	2	2	no	—
952	D₄	—	2	1	no	—
953	D₄	—	2	2	no	—
954	D₄	—	2	1	no	—
955	D₄	—	2	2	no	—
956	D₄	—	2	1	no	—
957	D₄	—	2	2	no	—
958	D₄	—	4	1	no	—
959	D₄	—	4	2	no	—
960	D₄	—	4	4	no	—
961	D₄	—	4	2	no	—
962	D₄	—	4	4	no	—
963	D₄	—	4	4	no	—
964	D₄	—	8	2	no	—
965	D₄	—	8	1	no	—
966	D₄	—	8	1	no	—
967	D₄	—	8	2	no	—
968	D₄	—	8	1	no	—
969	D₄	—	8	2	no	—
970	D₄	—	8	2	no	—
971	D₄	—	8	2	no	—
972	D₄	—	8	2	no	—
973	D₄	2₋¹⁺⁴×C₄₁	1	2	yes	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	4	1	no	—
986	C₂×C₄	—	4	2	no	—
987	C₂×C₄	—	4	2	no	—
988	C₂×C₄	—	4	2	no	—
989	C₂×C₄	—	8	1	no	—
990	C₂×C₄	—	8	1	no	—
991	C₂×C₄	—	8	2	no	—
992	C₂×C₄	—	8	2	no	—
993	C₂×C₄	—	8	2	no	—
994	C₂×C₄	—	8	2	no	—
995	C₂×C₄	—	8	2	no	—
996	C₂×C₄	—	8	2	no	—
997	C₂×C₄	—	8	1	no	—
998	C₂×C₄	—	8	2	no	—
999	C₂×C₄	—	8	1	no	—
1000	C₂×C₄	C₂²×D₄×C₄₁	1	2	yes	—
1001	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1002	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1003	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1004	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1005	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1006	C₂×C₄	C₂²×D₄×C₄₁	1	2	yes	—
1007	C₂×C₄	C₂²×D₄×C₄₁	1	2	yes	—
1008	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1009	C₈	—	2	2	no	—
1010	C₈	—	2	2	no	—
1011	C₈	—	2	2	no	—
1012	C₈	—	2	2	no	—
1013	C₂²	—	2	1	no	—
1014	C₂²	—	2	1	no	—
1015	C₂²	—	2	2	no	—
1016	C₂²	—	2	2	no	—
1017	C₂²	—	2	2	no	—
1018	C₂²	—	2	2	no	—
1019	C₂²	—	4	1	no	—
1020	C₂²	—	4	1	no	—
1021	C₂²	—	4	2	no	—
1022	C₂²	—	4	2	no	—
1023	C₂²	—	4	1	no	—
1024	C₂²	—	4	1	no	—
1025	C₂²	—	4	2	no	—
1026	C₂²	—	4	2	no	—
1027	C₂²	—	4	1	no	—
1028	C₂²	—	4	2	no	—
1029	C₂²	—	4	2	no	—
1030	C₂²	—	8	4	no	—
1031	C₂²	—	16	4	no	—
1032	C₂²	C₄₁×#576	1	2	yes	—
1033	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1034	C₄	—	2	1	no	—
1035	C₄	—	2	1	no	—
1036	C₄	—	2	2	no	—
1037	C₄	—	2	1	no	—
1038	C₄	—	2	1	no	—
1039	C₄	—	2	2	no	—
1040	C₄	—	2	1	no	—
1041	C₄	—	2	2	no	—
1042	C₄	—	4	2	no	—
1043	C₄	—	4	2	no	—
1044	C₄	—	4	2	no	—
1045	C₄	—	4	1	no	—
1046	C₄	—	4	1	no	—
1047	C₄	—	4	2	no	—
1048	C₄	C₂×2₋¹⁺⁴×C₄₁	1	1	yes	characteristic
1049	C₄	C₄₁×#585	1	1	yes	characteristic
1050	C₂	—	2	2	no	—
1051	C₂	—	4	2	no	—
1052	C₂	—	4	2	no	—
1053	C₂	—	8	1	no	—
1054	C₂	—	8	2	no	—
1055	C₂	—	8	2	no	—
1056	C₂	C₄₁×#3489	1	1	yes	characteristic
1057	C₂	C₂×C₄₁×#576	1	1	yes	characteristic
1058	C₂	C₄₁×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₄₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₁ ◁ C₄₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₁×#3559	C₂	semidirect
2. C₄₁×#3519	C₂	semidirect
3. C₄₁×#3389	C₂	semidirect
4. C₄₁×#3366	C₂	semidirect
5. C₄₁×#3347	C₂	semidirect
6. C₄₁×#3345	C₂	semidirect
7. C₄₁×#3339	C₂	semidirect
8. C₄₁×#3318	C₂	semidirect
9. C₄₁×#3318	C₂	semidirect
10. C₄₁×#3294	C₂	semidirect
11. C₄₁×#3259	C₂	semidirect
12. C₄₁×#3245	C₂	semidirect
13. C₄₁×#3241	C₂	semidirect
14. C₄₁×#3234	C₂	semidirect
15. C₄₁×#3122	C₂	semidirect
16. C₄₁×#3109	C₂	semidirect
17. C₄₁×#3081	C₂	semidirect
18. C₂×C₄₁×#478	C₂	semidirect
19. C₄₁×#2992	C₂	semidirect
24. C₄₁×#554	C₂²	semidirect
27. C₄₁×#553	C₂²	semidirect
28. C₄₁×#553	C₂²	semidirect
31. C₄₁×#547	C₂²	semidirect
36. C₄₁×#544	C₂²	semidirect
38. C₄₁×#540	C₂²	semidirect
44. C₄₁×#532	C₂²	semidirect
46. C₂×#125×C₄₁	C₂²	semidirect
51. C₄₁×#501	C₂²	semidirect
52. C₄₁×#501	C₂²	semidirect
53. C₄₁×#499	C₂²	semidirect
54. C₄₁×#490	C₂²	semidirect
55. C₄₁×#490	C₂²	semidirect
56. C₄₁×#486	C₂²	semidirect
57. C₄₁×#482	C₂²	semidirect
58. C₄₁×#482	C₂²	semidirect
59. C₄₁×#482	C₂²	semidirect
60. C₄₁×#482	C₂²	semidirect
61. C₄₁×#481	C₂²	semidirect
62. C₄₁×#481	C₂²	semidirect
63. C₄₁×#481	C₂²	semidirect
64. C₄₁×#480	C₂²	semidirect
65. C₄₁×#480	C₂²	semidirect
69. C₄₁×#478	C₂²	semidirect
70. C₄₁×#478	C₂²	semidirect
71. C₄₁×#478	C₂²	semidirect
72. C₄₁×#478	C₂²	semidirect
73. C₄₁×#478	C₂²	semidirect
74. C₄₁×#478	C₂²	semidirect
75. C₄₁×#478	C₂²	semidirect
77. C₄₁×#476	C₂²	semidirect
78. C₄₁×#476	C₂²	semidirect
80. C₄₁×#474	C₂²	semidirect
81. C₄₁×#474	C₂²	semidirect
82. C₄₁×#469	C₂²	semidirect
83. C₄₁×#469	C₂²	semidirect
84. C₄₁×#466	C₂²	semidirect
85. C₄₁×#466	C₂²	semidirect
86. C₄₁×#466	C₂²	semidirect
87. C₄₁×#466	C₂²	semidirect
89. C₄₁×#459	C₂²	semidirect
90. C₄₁×#459	C₂²	semidirect
91. C₄₁×#459	C₂²	semidirect
92. C₄₁×#459	C₂²	semidirect
93. C₄₁×#459	C₂²	semidirect
97. C₄₁×#446	C₂²	semidirect
100. C₄₁×#442	C₂²	semidirect
101. C₄₁×#442	C₂²	semidirect
103. C₄×D₈×C₄₁	C₂²	semidirect
104. C₄₁×#435	C₂²	semidirect
105. C₄₁×#435	C₂²	semidirect
106. C₈×D₄×C₄₁	C₂²	semidirect
107. C₄₁×#433	C₂²	semidirect
108. C₄₁×#432	C₂²	semidirect
109. C₄₁×#428	C₂²	semidirect
110. C₄₁×#427	C₂²	semidirect
111. C₂×#107×C₄₁	C₂²	semidirect
112. C₂×#106×C₄₁	C₂²	semidirect
113. C₄₁×#424	C₂²	semidirect
114. C₂×C₄⋊C₈×C₄₁	C₂²	semidirect
483. #62163	C₄₁	direct (N × H)
521. #3559	C₂×C₄₁	semidirect
522. #3519	C₂×C₄₁	semidirect
523. #3389	C₂×C₄₁	semidirect
524. #3366	C₂×C₄₁	semidirect
525. #3347	C₂×C₄₁	semidirect
526. #3345	C₂×C₄₁	semidirect
527. #3339	C₂×C₄₁	semidirect
528. #3318	C₂×C₄₁	semidirect
529. #3318	C₂×C₄₁	semidirect
530. #3294	C₂×C₄₁	semidirect
531. #3259	C₂×C₄₁	semidirect
532. #3245	C₂×C₄₁	semidirect
533. #3241	C₂×C₄₁	semidirect
534. #3234	C₂×C₄₁	semidirect
535. #3122	C₂×C₄₁	semidirect
536. #3109	C₂×C₄₁	semidirect
537. #3081	C₂×C₄₁	semidirect
538. C₂×#478	C₂×C₄₁	semidirect
539. #2992	C₂×C₄₁	semidirect
553. #554	C₂²×C₄₁	semidirect
556. #553	C₂²×C₄₁	semidirect
557. #553	C₂²×C₄₁	semidirect
560. #547	C₂²×C₄₁	semidirect
565. #544	C₂²×C₄₁	semidirect
567. #540	C₂²×C₄₁	semidirect
573. #532	C₂²×C₄₁	semidirect
575. C₂×#125	C₂²×C₄₁	semidirect
580. #501	C₂²×C₄₁	semidirect
581. #501	C₂²×C₄₁	semidirect
582. #499	C₂²×C₄₁	semidirect
583. #490	C₂²×C₄₁	semidirect
584. #490	C₂²×C₄₁	semidirect
585. #486	C₂²×C₄₁	semidirect
586. #482	C₂²×C₄₁	semidirect
587. #482	C₂²×C₄₁	semidirect
588. #482	C₂²×C₄₁	semidirect
589. #482	C₂²×C₄₁	semidirect
590. #481	C₂²×C₄₁	semidirect
591. #481	C₂²×C₄₁	semidirect
592. #481	C₂²×C₄₁	semidirect
593. #480	C₂²×C₄₁	semidirect
594. #480	C₂²×C₄₁	semidirect
598. #478	C₂²×C₄₁	semidirect
599. #478	C₂²×C₄₁	semidirect
600. #478	C₂²×C₄₁	semidirect
601. #478	C₂²×C₄₁	semidirect
602. #478	C₂²×C₄₁	semidirect
603. #478	C₂²×C₄₁	semidirect
604. #478	C₂²×C₄₁	semidirect
606. #476	C₂²×C₄₁	semidirect
607. #476	C₂²×C₄₁	semidirect
609. #474	C₂²×C₄₁	semidirect
610. #474	C₂²×C₄₁	semidirect
611. #469	C₂²×C₄₁	semidirect
612. #469	C₂²×C₄₁	semidirect
613. #466	C₂²×C₄₁	semidirect
614. #466	C₂²×C₄₁	semidirect
615. #466	C₂²×C₄₁	semidirect
616. #466	C₂²×C₄₁	semidirect
618. #459	C₂²×C₄₁	semidirect
619. #459	C₂²×C₄₁	semidirect
620. #459	C₂²×C₄₁	semidirect
621. #459	C₂²×C₄₁	semidirect
622. #459	C₂²×C₄₁	semidirect
626. #446	C₂²×C₄₁	semidirect
629. #442	C₂²×C₄₁	semidirect
630. #442	C₂²×C₄₁	semidirect
632. C₄×D₈	C₂²×C₄₁	semidirect
633. #435	C₂²×C₄₁	semidirect
634. #435	C₂²×C₄₁	semidirect
635. C₈×D₄	C₂²×C₄₁	semidirect
636. #433	C₂²×C₄₁	semidirect
637. #432	C₂²×C₄₁	semidirect
638. #428	C₂²×C₄₁	semidirect
639. #427	C₂²×C₄₁	semidirect
640. C₂×#107	C₂²×C₄₁	semidirect
641. C₂×#106	C₂²×C₄₁	semidirect
642. #424	C₂²×C₄₁	semidirect
643. C₂×C₄⋊C₈	C₂²×C₄₁	semidirect
648. C₄₁	#62163	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×#3559	2
C₄₁×#3519	2
C₄₁×#3389	2
C₄₁×#3366	2
C₄₁×#3347	2
C₄₁×#3345	2
C₄₁×#3339	2
C₄₁×#3318	2
C₄₁×#3294	2
C₄₁×#3259	2
C₄₁×#3245	2
C₄₁×#3241	2
C₄₁×#3234	2
C₄₁×#3122	2
C₄₁×#3109	2
C₄₁×#3081	2
C₂×C₄₁×#478	2
C₄₁×#2992	2
#62163	41

Subgroups — C41×#62163 #23838364

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#62163 #23838364