Subgroups — C₆₁×#24899 #29528332

Order 15616.

1070 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₆₁×#449	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×D₈×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#2422	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#2339	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#2095	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#2076	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#2055	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#2033	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#1933	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#1923	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#1879	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#1877	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#1862	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#1802	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#1788	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#41×C₆₁	C₂²	1	1	yes	characteristic
17	C₂²×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
18	C₂²×D₈×C₆₁	C₂²	1	1	yes	characteristic
19	C₂×#123×C₆₁	—	2	1	no	—
20	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
21	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
22	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
24	C₆₁×#449	—	2	4	no	—
25	C₄×D₈×C₆₁	—	2	4	no	—
26	C₂×#107×C₆₁	C₂²	1	1	yes	characteristic
27	C₂×#107×C₆₁	C₂²	1	1	yes	characteristic
28	C₂×C₄⋊C₈×C₆₁	C₂²	1	1	yes	characteristic
29	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
30	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
31	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
32	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
33	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
34	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
35	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
36	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊C₈×C₆₁	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊C₈×C₆₁	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₈×C₆₁	C₂²	1	1	yes	characteristic
40	C₆₁×#397	—	2	1	no	—
41	C₆₁×#394	—	2	1	no	—
42	C₆₁×#391	C₂²	1	1	yes	characteristic
43	C₆₁×#391	C₂²	1	1	yes	characteristic
44	C₆₁×#390	C₂²	1	1	yes	characteristic
45	C₆₁×#389	C₂²	1	1	yes	characteristic
46	C₆₁×#386	—	2	1	no	—
47	C₆₁×#386	—	2	1	no	—
48	C₆₁×#385	—	2	1	no	—
49	C₆₁×#384	C₂²	1	1	yes	characteristic
50	C₆₁×#381	—	2	1	no	—
51	C₆₁×#380	C₂²	1	1	yes	characteristic
52	C₆₁×#380	C₂²	1	1	yes	characteristic
53	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
54	C₂×#95×C₆₁	—	2	1	no	—
55	C₆₁×#340	C₂²	1	1	yes	characteristic
56	C₆₁×#340	C₂²	1	1	yes	characteristic
57	C₆₁×#340	C₂²	1	1	yes	characteristic
58	C₆₁×#340	C₂²	1	1	yes	characteristic
59	C₆₁×#336	C₂²	1	1	yes	characteristic
60	C₆₁×#336	C₂²	1	1	yes	characteristic
61	C₂×#41×C₆₁	—	2	2	no	—
62	C₂×#41×C₆₁	—	2	2	no	—
63	C₂×#41×C₆₁	—	2	2	no	—
64	C₂×#41×C₆₁	—	2	2	no	—
65	C₂×#41×C₆₁	—	4	1	no	—
66	C₂×#41×C₆₁	—	4	1	no	—
67	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
68	C₂²×D₄×C₆₁	—	2	1	no	—
69	C₂²×D₄×C₆₁	—	2	1	no	—
70	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
71	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
72	C₂³×C₄×C₆₁	—	2	1	no	—
73	C₂³×C₄×C₆₁	—	2	1	no	—
74	C₂³×C₄×C₆₁	—	2	1	no	—
75	C₂³×C₄×C₆₁	—	2	1	no	—
76	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
77	C₂×SD₁₆×C₆₁	—	2	2	no	—
78	C₂×SD₁₆×C₆₁	—	2	2	no	—
79	C₂×SD₁₆×C₆₁	—	4	1	no	—
80	C₂×D₈×C₆₁	—	2	2	no	—
81	C₂×D₈×C₆₁	—	2	2	no	—
82	C₂×D₈×C₆₁	D₄	1	4	yes	—
83	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
84	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
85	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
86	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
87	#123×C₆₁	—	4	4	no	—
88	#121×C₆₁	—	2	2	no	—
89	#121×C₆₁	—	4	1	no	—
90	C₄×D₄×C₆₁	—	2	2	no	—
91	C₄×D₄×C₆₁	—	2	2	no	—
92	C₄×D₄×C₆₁	—	2	2	no	—
93	C₄×D₄×C₆₁	—	4	1	no	—
94	C₄×D₄×C₆₁	—	4	1	no	—
95	C₄×D₄×C₆₁	—	4	1	no	—
96	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
97	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
98	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
99	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
100	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
101	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
102	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
103	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
104	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
105	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
106	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
107	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
108	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
109	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
110	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
111	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
112	C₂×C₂²⋊C₄×C₆₁	D₄	1	1	yes	characteristic
113	C₂×C₂²⋊C₄×C₆₁	D₄	1	1	yes	characteristic
114	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
115	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
116	#107×C₆₁	—	2	2	no	—
117	#107×C₆₁	—	4	1	no	—
118	C₄⋊C₈×C₆₁	—	4	1	no	—
119	#103×C₆₁	—	2	2	no	—
120	#103×C₆₁	—	2	2	no	—
121	#103×C₆₁	—	4	1	no	—
122	#102×C₆₁	—	2	2	no	—
123	#102×C₆₁	—	2	2	no	—
124	#102×C₆₁	—	2	2	no	—
125	#102×C₆₁	—	2	2	no	—
126	#102×C₆₁	—	4	1	no	—
127	C₂²⋊C₈×C₆₁	—	2	2	no	—
128	C₂²⋊C₈×C₆₁	—	4	1	no	—
129	C₄×C₈×C₆₁	—	2	2	no	—
130	#95×C₆₁	—	2	1	no	—
131	#95×C₆₁	—	2	1	no	—
132	#95×C₆₁	—	2	1	no	—
133	#95×C₆₁	—	2	1	no	—
134	#95×C₆₁	—	2	1	no	—
135	#95×C₆₁	—	2	1	no	—
136	#95×C₆₁	—	2	1	no	—
137	#95×C₆₁	D₄	1	1	yes	characteristic
138	#95×C₆₁	D₄	1	1	yes	characteristic
139	C₂⁴×C₆₁	—	2	1	no	—
140	C₂⁴×C₆₁	—	2	1	no	—
141	C₂⁴×C₆₁	C₂×D₄	1	1	yes	characteristic
142	#41×C₆₁	—	4	4	no	—
143	#41×C₆₁	—	4	4	no	—
144	#41×C₆₁	—	4	4	no	—
145	#41×C₆₁	—	4	4	no	—
146	C₂×Q₈×C₆₁	—	2	1	no	—
147	C₂×Q₈×C₆₁	—	2	1	no	—
148	C₂×Q₈×C₆₁	—	2	1	no	—
149	C₂×Q₈×C₆₁	—	2	1	no	—
150	C₂×Q₈×C₆₁	—	2	1	no	—
151	C₂×Q₈×C₆₁	#41	1	2	yes	—
152	C₂×D₄×C₆₁	—	2	4	no	—
153	C₂×D₄×C₆₁	—	2	1	no	—
154	C₂×D₄×C₆₁	—	2	1	no	—
155	C₂×D₄×C₆₁	—	2	1	no	—
156	C₂×D₄×C₆₁	—	2	1	no	—
157	C₂×D₄×C₆₁	—	2	1	no	—
158	C₂×D₄×C₆₁	—	2	1	no	—
159	C₂×D₄×C₆₁	—	2	1	no	—
160	C₂×D₄×C₆₁	—	2	1	no	—
161	C₂×D₄×C₆₁	—	4	2	no	—
162	C₂×D₄×C₆₁	—	4	2	no	—
163	C₂×D₄×C₆₁	—	4	2	no	—
164	C₂×D₄×C₆₁	—	4	2	no	—
165	C₂×D₄×C₆₁	—	8	1	no	—
166	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
167	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
168	C₂×D₄×C₆₁	#41	1	2	yes	—
169	C₂×D₄×C₆₁	#41	1	2	yes	—
170	C₂²×C₄×C₆₁	—	2	4	no	—
171	C₂²×C₄×C₆₁	—	2	1	no	—
172	C₂²×C₄×C₆₁	—	2	1	no	—
173	C₂²×C₄×C₆₁	—	2	1	no	—
174	C₂²×C₄×C₆₁	—	2	1	no	—
175	C₂²×C₄×C₆₁	—	2	1	no	—
176	C₂²×C₄×C₆₁	—	2	1	no	—
177	C₂²×C₄×C₆₁	—	2	1	no	—
178	C₂²×C₄×C₆₁	—	2	1	no	—
179	C₂²×C₄×C₆₁	—	2	1	no	—
180	C₂²×C₄×C₆₁	—	2	1	no	—
181	C₂²×C₄×C₆₁	—	2	1	no	—
182	C₂²×C₄×C₆₁	—	2	1	no	—
183	C₂²×C₄×C₆₁	—	4	2	no	—
184	C₂²×C₄×C₆₁	—	4	2	no	—
185	C₂²×C₄×C₆₁	—	4	2	no	—
186	C₂²×C₄×C₆₁	—	4	2	no	—
187	C₂²×C₄×C₆₁	—	4	2	no	—
188	C₂²×C₄×C₆₁	—	4	2	no	—
189	C₂²×C₄×C₆₁	—	4	2	no	—
190	C₂²×C₄×C₆₁	—	4	2	no	—
191	C₂²×C₄×C₆₁	—	8	1	no	—
192	C₂²×C₄×C₆₁	—	8	1	no	—
193	C₂²×C₄×C₆₁	—	8	1	no	—
194	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
195	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
197	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
198	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
199	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
200	SD₁₆×C₆₁	—	4	4	no	—
201	D₈×C₆₁	—	2	8	no	—
202	C₂×C₈×C₆₁	—	2	1	no	—
203	C₂×C₈×C₆₁	—	2	1	no	—
204	C₂×C₈×C₆₁	—	2	1	no	—
205	C₂×C₈×C₆₁	—	2	1	no	—
206	C₂×C₈×C₆₁	—	2	1	no	—
207	C₂×C₈×C₆₁	—	2	1	no	—
208	C₂×C₈×C₆₁	—	2	1	no	—
209	C₂×C₈×C₆₁	—	2	1	no	—
210	C₂×C₈×C₆₁	—	2	1	no	—
211	C₂×C₈×C₆₁	—	2	1	no	—
212	C₂×C₈×C₆₁	—	2	1	no	—
213	C₂×C₈×C₆₁	C₂×D₄	1	2	yes	—
214	C₄⋊C₄×C₆₁	—	2	1	no	—
215	C₄⋊C₄×C₆₁	—	2	1	no	—
216	C₄⋊C₄×C₆₁	—	2	1	no	—
217	C₄⋊C₄×C₆₁	—	2	1	no	—
218	C₄⋊C₄×C₆₁	—	2	1	no	—
219	C₄⋊C₄×C₆₁	—	2	1	no	—
220	C₄⋊C₄×C₆₁	—	2	1	no	—
221	C₄⋊C₄×C₆₁	—	2	1	no	—
222	C₄⋊C₄×C₆₁	—	2	1	no	—
223	C₄⋊C₄×C₆₁	—	2	1	no	—
224	C₄⋊C₄×C₆₁	—	4	2	no	—
225	C₄⋊C₄×C₆₁	—	4	2	no	—
226	C₄⋊C₄×C₆₁	—	8	1	no	—
227	C₂²⋊C₄×C₆₁	—	2	2	no	—
228	C₂²⋊C₄×C₆₁	—	2	2	no	—
229	C₂²⋊C₄×C₆₁	—	4	2	no	—
230	C₂²⋊C₄×C₆₁	—	4	2	no	—
231	C₂²⋊C₄×C₆₁	—	4	2	no	—
232	C₂²⋊C₄×C₆₁	—	4	2	no	—
233	C₂²⋊C₄×C₆₁	—	4	2	no	—
234	C₂²⋊C₄×C₆₁	—	4	2	no	—
235	C₂²⋊C₄×C₆₁	—	4	2	no	—
236	C₂²⋊C₄×C₆₁	—	8	1	no	—
237	C₄²×C₆₁	—	2	1	no	—
238	C₄²×C₆₁	—	2	1	no	—
239	C₄²×C₆₁	—	2	1	no	—
240	C₄²×C₆₁	—	2	1	no	—
241	C₂³×C₆₁	—	2	2	no	—
242	C₂³×C₆₁	—	2	2	no	—
243	C₂³×C₆₁	—	2	2	no	—
244	C₂³×C₆₁	—	2	1	no	—
245	C₂³×C₆₁	—	2	2	no	—
246	C₂³×C₆₁	—	2	1	no	—
247	C₂³×C₆₁	—	2	1	no	—
248	C₂³×C₆₁	—	2	1	no	—
249	C₂³×C₆₁	—	2	1	no	—
250	C₂³×C₆₁	—	2	1	no	—
251	C₂³×C₆₁	—	2	1	no	—
252	C₂³×C₆₁	—	4	1	no	—
253	C₂³×C₆₁	—	4	1	no	—
254	C₂³×C₆₁	—	4	1	no	—
255	C₂³×C₆₁	—	4	1	no	—
256	C₂³×C₆₁	—	4	1	no	—
257	C₂³×C₆₁	—	4	1	no	—
258	C₂³×C₆₁	—	4	1	no	—
259	C₂³×C₆₁	—	4	1	no	—
260	C₂³×C₆₁	—	4	1	no	—
261	C₂³×C₆₁	—	4	1	no	—
262	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
263	Q₈×C₆₁	—	2	2	no	—
264	Q₈×C₆₁	—	2	2	no	—
265	Q₈×C₆₁	—	4	1	no	—
266	Q₈×C₆₁	—	4	1	no	—
267	D₄×C₆₁	—	2	2	no	—
268	D₄×C₆₁	—	2	2	no	—
269	D₄×C₆₁	—	2	2	no	—
270	D₄×C₆₁	—	2	2	no	—
271	D₄×C₆₁	—	2	2	no	—
272	D₄×C₆₁	—	4	8	no	—
273	D₄×C₆₁	—	4	1	no	—
274	D₄×C₆₁	—	4	1	no	—
275	D₄×C₆₁	—	8	4	no	—
276	D₄×C₆₁	#123	1	4	yes	complemented
277	C₂×C₄×C₆₁	—	2	1	no	—
278	C₂×C₄×C₆₁	—	2	1	no	—
279	C₂×C₄×C₆₁	—	2	1	no	—
280	C₂×C₄×C₆₁	—	2	1	no	—
281	C₂×C₄×C₆₁	—	2	1	no	—
282	C₂×C₄×C₆₁	—	2	2	no	—
283	C₂×C₄×C₆₁	—	2	1	no	—
284	C₂×C₄×C₆₁	—	2	1	no	—
285	C₂×C₄×C₆₁	—	2	1	no	—
286	C₂×C₄×C₆₁	—	2	1	no	—
287	C₂×C₄×C₆₁	—	2	1	no	—
288	C₂×C₄×C₆₁	—	2	1	no	—
289	C₂×C₄×C₆₁	—	2	1	no	—
290	C₂×C₄×C₆₁	—	2	1	no	—
291	C₂×C₄×C₆₁	—	4	8	no	—
292	C₂×C₄×C₆₁	—	4	1	no	—
293	C₂×C₄×C₆₁	—	4	1	no	—
294	C₂×C₄×C₆₁	—	4	1	no	—
295	C₂×C₄×C₆₁	—	4	1	no	—
296	C₂×C₄×C₆₁	—	4	1	no	—
297	C₂×C₄×C₆₁	—	4	1	no	—
298	C₂×C₄×C₆₁	—	4	1	no	—
299	C₂×C₄×C₆₁	—	4	1	no	—
300	C₂×C₄×C₆₁	—	4	1	no	—
301	C₂×C₄×C₆₁	—	4	1	no	—
302	C₂×C₄×C₆₁	—	4	1	no	—
303	C₂×C₄×C₆₁	—	4	1	no	—
304	C₂×C₄×C₆₁	—	4	1	no	—
305	C₂×C₄×C₆₁	—	4	1	no	—
306	C₂×C₄×C₆₁	—	4	1	no	—
307	C₂×C₄×C₆₁	—	4	1	no	—
308	C₂×C₄×C₆₁	—	4	1	no	—
309	C₂×C₄×C₆₁	—	4	1	no	—
310	C₂×C₄×C₆₁	—	4	1	no	—
311	C₂×C₄×C₆₁	—	4	1	no	—
312	C₂×C₄×C₆₁	—	4	1	no	—
313	C₂×C₄×C₆₁	—	8	4	no	—
314	C₂×C₄×C₆₁	—	8	4	no	—
315	C₂×C₄×C₆₁	—	8	4	no	—
316	C₂×C₄×C₆₁	#135	1	2	yes	—
317	C₂×C₄×C₆₁	AGL(1,ℤ/8)	1	2	yes	—
318	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
319	C₂×C₄×C₆₁	C₂×#41	1	1	yes	characteristic
320	C₂×C₄×C₆₁	C₂×#41	1	1	yes	characteristic
321	C₂×C₄×C₆₁	C₂×#41	1	1	yes	characteristic
322	C₂×C₄×C₆₁	H(5,𝔽₂)	1	1	yes	characteristic
323	C₂×C₄×C₆₁	H(5,𝔽₂)	1	1	yes	characteristic
324	C₈×C₆₁	—	2	2	no	—
325	C₈×C₆₁	—	4	1	no	—
326	C₈×C₆₁	—	4	1	no	—
327	C₈×C₆₁	—	4	1	no	—
328	#24899	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
329	C₂²×C₆₁	—	2	4	no	—
330	C₂²×C₆₁	—	4	2	no	—
331	C₂²×C₆₁	—	4	2	no	—
332	C₂²×C₆₁	—	4	2	no	—
333	C₂²×C₆₁	—	4	2	no	—
334	C₂²×C₆₁	—	4	2	no	—
335	C₂²×C₆₁	—	4	2	no	—
336	C₂²×C₆₁	—	4	1	no	—
337	C₂²×C₆₁	—	4	1	no	—
338	C₂²×C₆₁	—	4	1	no	—
339	C₂²×C₆₁	—	4	1	no	—
340	C₂²×C₆₁	—	4	2	no	—
341	C₂²×C₆₁	—	4	2	no	—
342	C₂²×C₆₁	—	4	1	no	—
343	C₂²×C₆₁	—	4	1	no	—
344	C₂²×C₆₁	—	4	2	no	—
345	C₂²×C₆₁	—	4	1	no	—
346	C₂²×C₆₁	—	8	1	no	—
347	C₂²×C₆₁	—	8	1	no	—
348	C₂²×C₆₁	—	8	1	no	—
349	C₂²×C₆₁	—	8	1	no	—
350	C₂²×C₆₁	#525	1	1	yes	characteristic
351	C₂²×C₆₁	D₄²	1	1	yes	characteristic
352	C₂²×C₆₁	#546	1	1	yes	characteristic
353	C₂²×C₆₁	C₂×#135	1	1	yes	characteristic
354	C₂²×C₆₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
355	C₂²×C₆₁	#576	1	1	yes	characteristic
356	C₂²×C₆₁	#578	1	1	yes	characteristic
357	C₄×C₆₁	—	2	2	no	—
358	C₄×C₆₁	—	2	2	no	—
359	C₄×C₆₁	—	4	1	no	—
360	C₄×C₆₁	—	4	1	no	—
361	C₄×C₆₁	—	4	2	no	—
362	C₄×C₆₁	—	4	1	no	—
363	C₄×C₆₁	—	8	1	no	—
364	C₄×C₆₁	—	8	1	no	—
365	C₄×C₆₁	—	8	1	no	—
366	C₄×C₆₁	—	8	1	no	—
367	C₄×C₆₁	—	8	1	no	—
368	C₄×C₆₁	C₂×#123	1	1	yes	characteristic
369	C₄×C₆₁	#538	1	1	yes	characteristic
370	C₄×C₆₁	#546	1	1	yes	characteristic
371	C₄×C₆₁	#551	1	1	yes	characteristic
372	C₂×#449	C₂×C₆₁	1	1	yes	characteristic
373	C₂×C₄×D₈	C₂×C₆₁	1	1	yes	characteristic, complemented
374	#2422	C₂×C₆₁	1	1	yes	characteristic, complemented
375	#2339	C₂×C₆₁	1	1	yes	characteristic, complemented
376	#2095	C₂×C₆₁	1	1	yes	characteristic, complemented
377	#2076	C₂×C₆₁	1	1	yes	characteristic, complemented
378	#2055	C₂×C₆₁	1	1	yes	characteristic, complemented
379	#2033	C₂×C₆₁	1	1	yes	characteristic, complemented
380	#1933	C₂×C₆₁	1	1	yes	characteristic, complemented
381	#1923	C₂×C₆₁	1	1	yes	characteristic, complemented
382	#1879	C₂×C₆₁	1	1	yes	characteristic, complemented
383	#1877	C₂×C₆₁	1	1	yes	characteristic, complemented
384	#1862	C₂×C₆₁	1	1	yes	characteristic, complemented
385	#1802	C₂×C₆₁	1	1	yes	characteristic, complemented
386	#1788	C₂×C₆₁	1	1	yes	characteristic, complemented
387	C₂×C₆₁	—	4	4	no	—
388	C₂×C₆₁	—	8	1	no	—
389	C₂×C₆₁	—	8	2	no	—
390	C₂×C₆₁	#2418	1	1	yes	characteristic
391	C₂×C₆₁	#3106	1	1	yes	characteristic
392	C₂×C₆₁	#3124	1	1	yes	characteristic
393	C₂×C₆₁	#3264	1	1	yes	characteristic
394	C₂×C₆₁	#3283	1	1	yes	characteristic
395	C₂×C₆₁	#3297	1	1	yes	characteristic
396	C₂×C₆₁	#3330	1	1	yes	characteristic
397	C₂²×#41	C₂²×C₆₁	1	1	yes	characteristic
398	C₂²×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
399	C₂²×D₈	C₂²×C₆₁	1	1	yes	characteristic
400	C₂×#123	—	2	1	no	—
401	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
402	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
403	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
404	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
405	#449	—	2	4	no	—
406	C₄×D₈	—	2	4	no	—
407	C₂×#107	C₂²×C₆₁	1	1	yes	characteristic
408	C₂×#107	C₂²×C₆₁	1	1	yes	characteristic
409	C₂×C₄⋊C₈	C₂²×C₆₁	1	1	yes	characteristic
410	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
411	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
412	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
413	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
414	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
415	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
416	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
417	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
418	C₂×C₂²⋊C₈	C₂²×C₆₁	1	1	yes	characteristic
419	C₂×C₂²⋊C₈	C₂²×C₆₁	1	1	yes	characteristic
420	C₂×C₄×C₈	C₂²×C₆₁	1	1	yes	characteristic
421	#397	—	2	1	no	—
422	#394	—	2	1	no	—
423	#391	C₂²×C₆₁	1	1	yes	characteristic
424	#391	C₂²×C₆₁	1	1	yes	characteristic
425	#390	C₂²×C₆₁	1	1	yes	characteristic
426	#389	C₂²×C₆₁	1	1	yes	characteristic
427	#386	—	2	1	no	—
428	#386	—	2	1	no	—
429	#385	—	2	1	no	—
430	#384	C₂²×C₆₁	1	1	yes	characteristic
431	#381	—	2	1	no	—
432	#380	C₂²×C₆₁	1	1	yes	characteristic
433	#380	C₂²×C₆₁	1	1	yes	characteristic
434	C₄×C₂²⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
435	C₂×#95	—	2	1	no	—
436	#340	C₂²×C₆₁	1	1	yes	characteristic
437	#340	C₂²×C₆₁	1	1	yes	characteristic
438	#340	C₂²×C₆₁	1	1	yes	characteristic
439	#340	C₂²×C₆₁	1	1	yes	characteristic
440	#336	C₂²×C₆₁	1	1	yes	characteristic
441	#336	C₂²×C₆₁	1	1	yes	characteristic
442	C₆₁	#24899	1	1	yes	characteristic, direct product factor, Sylow
443	C₂×#41	—	2	2	no	—
444	C₂×#41	—	2	2	no	—
445	C₂×#41	—	2	2	no	—
446	C₂×#41	—	2	2	no	—
447	C₂×#41	—	4	1	no	—
448	C₂×#41	—	4	1	no	—
449	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
450	C₂²×D₄	—	2	1	no	—
451	C₂²×D₄	—	2	1	no	—
452	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
453	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
454	C₂³×C₄	—	2	1	no	—
455	C₂³×C₄	—	2	1	no	—
456	C₂³×C₄	—	2	1	no	—
457	C₂³×C₄	—	2	1	no	—
458	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
459	C₂×SD₁₆	—	2	2	no	—
460	C₂×SD₁₆	—	2	2	no	—
461	C₂×SD₁₆	—	4	1	no	—
462	C₂×D₈	—	2	2	no	—
463	C₂×D₈	—	2	2	no	—
464	C₂×D₈	D₄×C₆₁	1	4	yes	—
465	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
466	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
467	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
468	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
469	#123	—	4	4	no	—
470	#121	—	2	2	no	—
471	#121	—	4	1	no	—
472	C₄×D₄	—	2	2	no	—
473	C₄×D₄	—	2	2	no	—
474	C₄×D₄	—	2	2	no	—
475	C₄×D₄	—	4	1	no	—
476	C₄×D₄	—	4	1	no	—
477	C₄×D₄	—	4	1	no	—
478	C₂×C₄⋊C₄	—	2	1	no	—
479	C₂×C₄⋊C₄	—	2	1	no	—
480	C₂×C₄⋊C₄	—	2	1	no	—
481	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
482	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
483	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
484	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
485	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
486	C₂×C₂²⋊C₄	—	2	1	no	—
487	C₂×C₂²⋊C₄	—	2	1	no	—
488	C₂×C₂²⋊C₄	—	2	1	no	—
489	C₂×C₂²⋊C₄	—	2	1	no	—
490	C₂×C₂²⋊C₄	—	2	1	no	—
491	C₂×C₂²⋊C₄	—	2	1	no	—
492	C₂×C₂²⋊C₄	—	2	1	no	—
493	C₂×C₂²⋊C₄	—	2	1	no	—
494	C₂×C₂²⋊C₄	D₄×C₆₁	1	1	yes	characteristic
495	C₂×C₂²⋊C₄	D₄×C₆₁	1	1	yes	characteristic
496	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
497	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
498	#107	—	2	2	no	—
499	#107	—	4	1	no	—
500	C₄⋊C₈	—	4	1	no	—
501	#103	—	2	2	no	—
502	#103	—	2	2	no	—
503	#103	—	4	1	no	—
504	#102	—	2	2	no	—
505	#102	—	2	2	no	—
506	#102	—	2	2	no	—
507	#102	—	2	2	no	—
508	#102	—	4	1	no	—
509	C₂²⋊C₈	—	2	2	no	—
510	C₂²⋊C₈	—	4	1	no	—
511	C₄×C₈	—	2	2	no	—
512	#95	—	2	1	no	—
513	#95	—	2	1	no	—
514	#95	—	2	1	no	—
515	#95	—	2	1	no	—
516	#95	—	2	1	no	—
517	#95	—	2	1	no	—
518	#95	—	2	1	no	—
519	#95	D₄×C₆₁	1	1	yes	characteristic
520	#95	D₄×C₆₁	1	1	yes	characteristic
521	C₂⁴	—	2	1	no	—
522	C₂⁴	—	2	1	no	—
523	C₂⁴	C₂×D₄×C₆₁	1	1	yes	characteristic
524	#41	—	4	4	no	—
525	#41	—	4	4	no	—
526	#41	—	4	4	no	—
527	#41	—	4	4	no	—
528	C₂×Q₈	—	2	1	no	—
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	#41×C₆₁	1	2	yes	—
534	C₂×D₄	—	2	4	no	—
535	C₂×D₄	—	2	1	no	—
536	C₂×D₄	—	2	1	no	—
537	C₂×D₄	—	2	1	no	—
538	C₂×D₄	—	2	1	no	—
539	C₂×D₄	—	2	1	no	—
540	C₂×D₄	—	2	1	no	—
541	C₂×D₄	—	2	1	no	—
542	C₂×D₄	—	2	1	no	—
543	C₂×D₄	—	4	2	no	—
544	C₂×D₄	—	4	2	no	—
545	C₂×D₄	—	4	2	no	—
546	C₂×D₄	—	4	2	no	—
547	C₂×D₄	—	8	1	no	—
548	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
549	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
550	C₂×D₄	#41×C₆₁	1	2	yes	—
551	C₂×D₄	#41×C₆₁	1	2	yes	—
552	C₂²×C₄	—	2	4	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	—	4	2	no	—
566	C₂²×C₄	—	4	2	no	—
567	C₂²×C₄	—	4	2	no	—
568	C₂²×C₄	—	4	2	no	—
569	C₂²×C₄	—	4	2	no	—
570	C₂²×C₄	—	4	2	no	—
571	C₂²×C₄	—	4	2	no	—
572	C₂²×C₄	—	4	2	no	—
573	C₂²×C₄	—	8	1	no	—
574	C₂²×C₄	—	8	1	no	—
575	C₂²×C₄	—	8	1	no	—
576	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
577	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
578	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
579	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
580	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
581	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
582	SD₁₆	—	4	4	no	—
583	D₈	—	2	8	no	—
584	C₂×C₈	—	2	1	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	1	no	—
588	C₂×C₈	—	2	1	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	—	2	1	no	—
591	C₂×C₈	—	2	1	no	—
592	C₂×C₈	—	2	1	no	—
593	C₂×C₈	—	2	1	no	—
594	C₂×C₈	—	2	1	no	—
595	C₂×C₈	C₂×D₄×C₆₁	1	2	yes	—
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	—	2	1	no	—
601	C₄⋊C₄	—	2	1	no	—
602	C₄⋊C₄	—	2	1	no	—
603	C₄⋊C₄	—	2	1	no	—
604	C₄⋊C₄	—	2	1	no	—
605	C₄⋊C₄	—	2	1	no	—
606	C₄⋊C₄	—	4	2	no	—
607	C₄⋊C₄	—	4	2	no	—
608	C₄⋊C₄	—	8	1	no	—
609	C₂²⋊C₄	—	2	2	no	—
610	C₂²⋊C₄	—	2	2	no	—
611	C₂²⋊C₄	—	4	2	no	—
612	C₂²⋊C₄	—	4	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	—	8	1	no	—
619	C₄²	—	2	1	no	—
620	C₄²	—	2	1	no	—
621	C₄²	—	2	1	no	—
622	C₄²	—	2	1	no	—
623	C₂³	—	2	2	no	—
624	C₂³	—	2	2	no	—
625	C₂³	—	2	2	no	—
626	C₂³	—	2	2	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	—	4	1	no	—
635	C₂³	—	4	1	no	—
636	C₂³	—	4	1	no	—
637	C₂³	—	4	1	no	—
638	C₂³	—	4	1	no	—
639	C₂³	—	4	1	no	—
640	C₂³	—	4	1	no	—
641	C₂³	—	4	1	no	—
642	C₂³	—	4	1	no	—
643	C₂³	—	4	1	no	—
644	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
645	Q₈	—	2	2	no	—
646	Q₈	—	2	2	no	—
647	Q₈	—	4	1	no	—
648	Q₈	—	4	1	no	—
649	D₄	—	2	2	no	—
650	D₄	—	2	2	no	—
651	D₄	—	2	2	no	—
652	D₄	—	2	2	no	—
653	D₄	—	2	2	no	—
654	D₄	—	4	8	no	—
655	D₄	—	4	1	no	—
656	D₄	—	4	1	no	—
657	D₄	—	8	4	no	—
658	D₄	#123×C₆₁	1	4	yes	complemented
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	2	1	no	—
667	C₂×C₄	—	2	1	no	—
668	C₂×C₄	—	2	1	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	1	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	4	8	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	—	8	4	no	—
696	C₂×C₄	—	8	4	no	—
697	C₂×C₄	—	8	4	no	—
698	C₂×C₄	#135×C₆₁	1	2	yes	—
699	C₂×C₄	AGL(1,ℤ/8)×C₆₁	1	2	yes	—
700	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
701	C₂×C₄	C₂×#41×C₆₁	1	1	yes	characteristic
702	C₂×C₄	C₂×#41×C₆₁	1	1	yes	characteristic
703	C₂×C₄	C₂×#41×C₆₁	1	1	yes	characteristic
704	C₂×C₄	H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
705	C₂×C₄	H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
706	C₈	—	2	2	no	—
707	C₈	—	4	1	no	—
708	C₈	—	4	1	no	—
709	C₈	—	4	1	no	—
710	C₂²	—	2	4	no	—
711	C₂²	—	4	2	no	—
712	C₂²	—	4	2	no	—
713	C₂²	—	4	2	no	—
714	C₂²	—	4	2	no	—
715	C₂²	—	4	2	no	—
716	C₂²	—	4	2	no	—
717	C₂²	—	4	1	no	—
718	C₂²	—	4	1	no	—
719	C₂²	—	4	1	no	—
720	C₂²	—	4	1	no	—
721	C₂²	—	4	1	no	—
722	C₂²	—	4	2	no	—
723	C₂²	—	4	2	no	—
724	C₂²	—	4	1	no	—
725	C₂²	—	4	1	no	—
726	C₂²	—	4	2	no	—
727	C₂²	—	8	1	no	—
728	C₂²	—	8	1	no	—
729	C₂²	—	8	1	no	—
730	C₂²	—	8	1	no	—
731	C₂²	C₆₁×#525	1	1	yes	characteristic
732	C₂²	D₄²×C₆₁	1	1	yes	characteristic
733	C₂²	C₆₁×#546	1	1	yes	characteristic
734	C₂²	C₂×#135×C₆₁	1	1	yes	characteristic
735	C₂²	C₂×AGL(1,ℤ/8)×C₆₁	1	1	yes	characteristic
736	C₂²	C₆₁×#576	1	1	yes	characteristic
737	C₂²	C₆₁×#578	1	1	yes	characteristic
738	C₄	—	2	2	no	—
739	C₄	—	2	2	no	—
740	C₄	—	4	1	no	—
741	C₄	—	4	1	no	—
742	C₄	—	4	2	no	—
743	C₄	—	4	1	no	—
744	C₄	—	8	1	no	—
745	C₄	—	8	1	no	—
746	C₄	—	8	1	no	—
747	C₄	—	8	1	no	—
748	C₄	—	8	1	no	—
749	C₄	C₂×#123×C₆₁	1	1	yes	characteristic
750	C₄	C₆₁×#538	1	1	yes	characteristic
751	C₄	C₆₁×#546	1	1	yes	characteristic
752	C₄	C₆₁×#551	1	1	yes	characteristic
753	C₂	—	4	4	no	—
754	C₂	—	8	1	no	—
755	C₂	—	8	2	no	—
756	C₂	C₆₁×#2418	1	1	yes	characteristic
757	C₂	C₆₁×#3106	1	1	yes	characteristic
758	C₂	C₆₁×#3124	1	1	yes	characteristic
759	C₂	C₆₁×#3264	1	1	yes	characteristic
760	C₂	C₆₁×#3283	1	1	yes	characteristic
761	C₂	C₆₁×#3297	1	1	yes	characteristic
762	C₂	C₆₁×#3330	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₁	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₆₁
prime radical	C₂×C₆₁×#449	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₆₁ ◁ C₄×C₂²⋊C₄×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₄×D₈×C₆₁	C₂	semidirect
3. C₆₁×#2422	C₂	semidirect
4. C₆₁×#2339	C₂	semidirect
5. C₆₁×#2095	C₂	semidirect
6. C₆₁×#2076	C₂	semidirect
7. C₆₁×#2055	C₂	semidirect
8. C₆₁×#2033	C₂	semidirect
9. C₆₁×#1933	C₂	semidirect
10. C₆₁×#1923	C₂	semidirect
11. C₆₁×#1879	C₂	semidirect
12. C₆₁×#1877	C₂	semidirect
13. C₆₁×#1862	C₂	semidirect
14. C₆₁×#1802	C₂	semidirect
15. C₆₁×#1788	C₂	semidirect
276. D₄×C₆₁	#123	semidirect
328. #24899	C₆₁	direct (N × H)
373. C₂×C₄×D₈	C₂×C₆₁	semidirect
374. #2422	C₂×C₆₁	semidirect
375. #2339	C₂×C₆₁	semidirect
376. #2095	C₂×C₆₁	semidirect
377. #2076	C₂×C₆₁	semidirect
378. #2055	C₂×C₆₁	semidirect
379. #2033	C₂×C₆₁	semidirect
380. #1933	C₂×C₆₁	semidirect
381. #1923	C₂×C₆₁	semidirect
382. #1879	C₂×C₆₁	semidirect
383. #1877	C₂×C₆₁	semidirect
384. #1862	C₂×C₆₁	semidirect
385. #1802	C₂×C₆₁	semidirect
386. #1788	C₂×C₆₁	semidirect
442. C₆₁	#24899	direct (N × H)
658. D₄	#123×C₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₆₁×#449	2
C₂×C₄×D₈×C₆₁	2
C₆₁×#2422	2
C₆₁×#2339	2
C₆₁×#2095	2
C₆₁×#2076	2
C₆₁×#2055	2
C₆₁×#2033	2
C₆₁×#1933	2
C₆₁×#1923	2
C₆₁×#1879	2
C₆₁×#1877	2
C₆₁×#1862	2
C₆₁×#1802	2
C₆₁×#1788	2
#24899	61

Subgroups — C61×#24899 #29528332

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#24899 #29528332