Subgroups — C₆₁×#34484 #29537917

Order 15616.

2132 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₆₁×#554	C₂	1	1	yes	maximal, characteristic
2	C₆₁×#2378	C₂	1	4	yes	maximal, complemented
3	C₆₁×#2370	C₂	1	2	yes	maximal, complemented
4	C₆₁×#2369	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#2362	C₂	1	2	yes	maximal, complemented
6	C₆₁×#2354	C₂	1	1	yes	maximal, characteristic
7	C₆₁×#2354	C₂	1	2	yes	maximal
8	Q₈×C₄⋊C₄×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#2344	C₂	1	2	yes	maximal, complemented
10	C₆₁×#2330	C₂	1	2	yes	maximal, complemented
11	C₆₁×#2323	C₂	1	2	yes	maximal, complemented
12	C₆₁×#2323	C₂	1	4	yes	maximal, complemented
13	C₆₁×#2319	C₂	1	2	yes	maximal
14	C₆₁×#2316	C₂	1	2	yes	maximal, complemented
15	C₄×C₄⋊Q₈×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#2295	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#2293	C₂	1	1	yes	maximal, characteristic
18	C₆₁×#554	C₄	1	16	yes	complemented
19	C₂×C₄⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
20	C₂×#125×C₆₁	C₂²	1	2	yes	—
21	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	—
22	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	—
23	C₂×C₄×Q₈×C₆₁	C₂²	1	2	yes	—
24	C₂×C₄×Q₈×C₆₁	C₂²	1	2	yes	—
25	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
26	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
27	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	—
28	C₂×#117×C₆₁	C₂²	1	2	yes	—
29	C₂×#117×C₆₁	C₂²	1	2	yes	—
30	C₂×#117×C₆₁	C₂²	1	4	yes	—
31	C₂²×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
32	C₆₁×#391	C₂²	1	1	yes	characteristic
33	C₆₁×#391	C₂²	1	1	yes	characteristic
34	C₆₁×#391	C₂²	1	2	yes	—
35	C₆₁×#391	C₂²	1	4	yes	—
36	C₆₁×#390	C₂²	1	1	yes	characteristic
37	C₆₁×#390	C₂²	1	1	yes	characteristic
38	C₆₁×#390	C₂²	1	2	yes	—
39	C₆₁×#389	C₂²	1	1	yes	characteristic
40	C₆₁×#389	C₂²	1	1	yes	characteristic
41	C₆₁×#389	C₂²	1	1	yes	characteristic
42	C₆₁×#389	C₂²	1	1	yes	characteristic
43	C₆₁×#389	C₂²	1	2	yes	—
44	C₆₁×#389	C₂²	1	2	yes	—
45	C₆₁×#389	C₂²	1	4	yes	—
46	C₆₁×#389	C₂²	1	2	yes	—
47	C₆₁×#389	C₂²	1	2	yes	—
48	C₆₁×#389	C₂²	1	4	yes	—
49	C₆₁×#389	C₂²	1	2	yes	—
50	C₆₁×#389	C₂²	1	4	yes	—
51	C₆₁×#389	C₂²	1	4	yes	—
52	C₆₁×#388	C₂²	1	2	yes	—
53	C₆₁×#388	C₂²	1	2	yes	—
54	C₆₁×#388	C₂²	1	4	yes	—
55	C₆₁×#388	C₂²	1	4	yes	—
56	C₆₁×#388	C₂²	1	4	yes	—
57	C₆₁×#388	C₂²	1	4	yes	—
58	C₆₁×#388	C₂²	1	4	yes	—
59	C₆₁×#387	C₂²	1	2	yes	—
60	C₆₁×#387	C₂²	1	2	yes	—
61	C₆₁×#387	C₂²	1	4	yes	—
62	C₆₁×#387	C₂²	1	4	yes	—
63	C₆₁×#387	C₂²	1	4	yes	—
64	C₆₁×#387	C₂²	1	4	yes	—
65	C₆₁×#384	C₂²	1	1	yes	characteristic
66	C₆₁×#384	C₂²	1	2	yes	—
67	C₆₁×#381	C₂²	1	4	yes	—
68	C₆₁×#380	C₂²	1	4	yes	—
69	C₆₁×#380	C₂²	1	4	yes	—
70	C₆₁×#380	C₂²	1	2	yes	—
71	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
72	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
73	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
74	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
75	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
76	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
77	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
78	C₄×C₄⋊C₄×C₆₁	C₂²	1	4	yes	—
79	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
80	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
81	C₄×C₂²⋊C₄×C₆₁	C₂²	1	2	yes	—
82	C₆₁×#376	C₂²	1	2	yes	—
83	C₄³×C₆₁	C₂²	1	1	yes	characteristic
84	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
85	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
86	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
88	C₂³×C₄×C₆₁	C₂³	1	4	yes	—
89	C₄⋊Q₈×C₆₁	C₂×C₄	1	8	yes	—
90	#125×C₆₁	C₂×C₄	1	16	yes	—
91	C₂²⋊Q₈×C₆₁	C₂×C₄	1	32	yes	—
92	C₂²⋊Q₈×C₆₁	C₂×C₄	1	16	yes	—
93	C₄×Q₈×C₆₁	—	4	4	no	—
94	C₄×Q₈×C₆₁	—	4	4	no	—
95	C₄×Q₈×C₆₁	C₂×C₄	1	8	yes	—
96	C₄×D₄×C₆₁	C₂×C₄	1	16	yes	—
97	C₄×D₄×C₆₁	C₂×C₄	1	8	yes	—
98	#117×C₆₁	—	4	4	no	—
99	#117×C₆₁	—	4	8	no	—
100	#117×C₆₁	—	4	4	no	—
101	C₂×C₄⋊C₄×C₆₁	C₂×C₄	1	16	yes	—
102	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
103	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
104	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
105	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
106	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
107	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
108	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
109	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
110	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
111	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
112	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
113	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
114	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
115	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
116	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
117	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
118	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
119	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
120	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
121	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
122	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
123	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
124	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
125	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
126	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
127	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
128	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
129	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
130	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
131	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
132	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
133	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
134	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
135	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
136	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
137	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
138	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
139	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
140	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
141	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
142	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
143	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
144	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
145	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
146	#95×C₆₁	C₂³	1	2	yes	—
147	#95×C₆₁	C₂³	1	2	yes	—
148	#95×C₆₁	C₂³	1	2	yes	—
149	#95×C₆₁	C₂³	1	2	yes	—
150	#95×C₆₁	C₂³	1	2	yes	—
151	#95×C₆₁	C₂³	1	2	yes	—
152	#95×C₆₁	C₂³	1	2	yes	—
153	#95×C₆₁	C₂³	1	4	yes	—
154	#95×C₆₁	C₂³	1	4	yes	—
155	#95×C₆₁	C₂³	1	4	yes	—
156	#95×C₆₁	C₂³	1	4	yes	—
157	#95×C₆₁	C₂³	1	4	yes	—
158	#95×C₆₁	C₂³	1	4	yes	—
159	#95×C₆₁	C₂³	1	2	yes	—
160	#95×C₆₁	C₂³	1	2	yes	—
161	#95×C₆₁	C₂³	1	2	yes	—
162	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
163	C₂×Q₈×C₆₁	—	2	2	no	—
164	C₂×Q₈×C₆₁	—	2	2	no	—
165	C₂×Q₈×C₆₁	—	4	2	no	—
166	C₂×Q₈×C₆₁	—	4	2	no	—
167	C₂×Q₈×C₆₁	C₂²×C₄	1	4	yes	—
168	C₂×Q₈×C₆₁	C₂²×C₄	1	8	yes	—
169	C₂×D₄×C₆₁	—	2	2	no	—
170	C₂×D₄×C₆₁	—	2	2	no	—
171	C₂×D₄×C₆₁	C₂²×C₄	1	4	yes	—
172	C₂²×C₄×C₆₁	—	2	4	no	—
173	C₂²×C₄×C₆₁	—	2	4	no	—
174	C₂²×C₄×C₆₁	—	4	4	no	—
175	C₂²×C₄×C₆₁	—	4	4	no	—
176	C₂²×C₄×C₆₁	C₂²×C₄	1	8	yes	—
177	C₂²×C₄×C₆₁	C₂²×C₄	1	16	yes	—
178	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
179	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
180	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
181	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
182	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
183	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
184	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
185	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
186	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
187	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
188	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
189	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
190	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
191	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
192	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
194	C₄⋊C₄×C₆₁	—	2	4	no	—
195	C₄⋊C₄×C₆₁	—	2	2	no	—
196	C₄⋊C₄×C₆₁	—	2	4	no	—
197	C₄⋊C₄×C₆₁	—	2	2	no	—
198	C₄⋊C₄×C₆₁	—	2	2	no	—
199	C₄⋊C₄×C₆₁	—	2	4	no	—
200	C₄⋊C₄×C₆₁	—	2	2	no	—
201	C₄⋊C₄×C₆₁	—	4	2	no	—
202	C₄⋊C₄×C₆₁	—	4	4	no	—
203	C₄⋊C₄×C₆₁	—	4	2	no	—
204	C₄⋊C₄×C₆₁	—	4	2	no	—
205	C₄⋊C₄×C₆₁	—	4	4	no	—
206	C₄⋊C₄×C₆₁	—	4	4	no	—
207	C₄⋊C₄×C₆₁	—	4	2	no	—
208	C₄⋊C₄×C₆₁	—	4	4	no	—
209	C₄⋊C₄×C₆₁	C₂²×C₄	1	4	yes	—
210	C₄⋊C₄×C₆₁	C₂²×C₄	1	16	yes	—
211	C₄⋊C₄×C₆₁	C₂²×C₄	1	8	yes	—
212	C₄⋊C₄×C₆₁	C₂²×C₄	1	4	yes	—
213	C₄⋊C₄×C₆₁	C₂²×C₄	1	8	yes	—
214	C₄⋊C₄×C₆₁	C₂²×C₄	1	8	yes	—
215	C₄⋊C₄×C₆₁	C₂²×C₄	1	16	yes	—
216	C₂²⋊C₄×C₆₁	—	2	4	no	—
217	C₂²⋊C₄×C₆₁	—	4	2	no	—
218	C₂²⋊C₄×C₆₁	—	4	2	no	—
219	C₂²⋊C₄×C₆₁	—	4	2	no	—
220	C₂²⋊C₄×C₆₁	—	4	4	no	—
221	C₂²⋊C₄×C₆₁	—	4	4	no	—
222	C₂²⋊C₄×C₆₁	C₂²×C₄	1	16	yes	—
223	C₂²⋊C₄×C₆₁	C₂²×C₄	1	8	yes	—
224	C₄²×C₆₁	—	2	2	no	—
225	C₄²×C₆₁	—	2	8	no	—
226	C₄²×C₆₁	—	2	4	no	—
227	C₄²×C₆₁	—	2	2	no	—
228	C₄²×C₆₁	—	2	2	no	—
229	C₄²×C₆₁	—	2	2	no	—
230	C₄²×C₆₁	—	2	4	no	—
231	C₄²×C₆₁	—	2	2	no	—
232	C₄²×C₆₁	—	4	1	no	—
233	C₄²×C₆₁	—	4	4	no	—
234	C₄²×C₆₁	—	4	4	no	—
235	C₄²×C₆₁	—	4	4	no	—
236	C₄²×C₆₁	C₂²×C₄	1	8	yes	—
237	C₄²×C₆₁	C₂²×C₄	1	4	yes	—
238	C₂³×C₆₁	—	2	2	no	—
239	C₂³×C₆₁	—	2	2	no	—
240	C₂³×C₆₁	—	2	2	no	—
241	C₂³×C₆₁	—	2	2	no	—
242	C₂³×C₆₁	—	2	2	no	—
243	C₂³×C₆₁	—	2	2	no	—
244	C₂³×C₆₁	C₂³×C₄	1	4	yes	—
245	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
246	Q₈×C₆₁	—	2	8	no	—
247	Q₈×C₆₁	—	4	8	no	—
248	D₄×C₆₁	—	2	8	no	—
249	C₂×C₄×C₆₁	—	2	4	no	—
250	C₂×C₄×C₆₁	—	2	1	no	—
251	C₂×C₄×C₆₁	—	2	2	no	—
252	C₂×C₄×C₆₁	—	2	2	no	—
253	C₂×C₄×C₆₁	—	2	2	no	—
254	C₂×C₄×C₆₁	—	2	1	no	—
255	C₂×C₄×C₆₁	—	2	1	no	—
256	C₂×C₄×C₆₁	—	2	2	no	—
257	C₂×C₄×C₆₁	—	2	2	no	—
258	C₂×C₄×C₆₁	—	2	1	no	—
259	C₂×C₄×C₆₁	—	2	2	no	—
260	C₂×C₄×C₆₁	—	2	4	no	—
261	C₂×C₄×C₆₁	—	2	16	no	—
262	C₂×C₄×C₆₁	—	2	2	no	—
263	C₂×C₄×C₆₁	—	2	1	no	—
264	C₂×C₄×C₆₁	—	2	1	no	—
265	C₂×C₄×C₆₁	—	2	2	no	—
266	C₂×C₄×C₆₁	—	2	4	no	—
267	C₂×C₄×C₆₁	—	2	1	no	—
268	C₂×C₄×C₆₁	—	2	2	no	—
269	C₂×C₄×C₆₁	—	2	2	no	—
270	C₂×C₄×C₆₁	—	2	2	no	—
271	C₂×C₄×C₆₁	—	2	4	no	—
272	C₂×C₄×C₆₁	—	2	2	no	—
273	C₂×C₄×C₆₁	—	2	1	no	—
274	C₂×C₄×C₆₁	—	2	2	no	—
275	C₂×C₄×C₆₁	—	2	1	no	—
276	C₂×C₄×C₆₁	—	2	1	no	—
277	C₂×C₄×C₆₁	—	2	1	no	—
278	C₂×C₄×C₆₁	—	2	2	no	—
279	C₂×C₄×C₆₁	—	2	2	no	—
280	C₂×C₄×C₆₁	—	2	2	no	—
281	C₂×C₄×C₆₁	—	2	4	no	—
282	C₂×C₄×C₆₁	—	2	1	no	—
283	C₂×C₄×C₆₁	—	2	1	no	—
284	C₂×C₄×C₆₁	—	2	2	no	—
285	C₂×C₄×C₆₁	—	2	2	no	—
286	C₂×C₄×C₆₁	—	4	16	no	—
287	C₂×C₄×C₆₁	C₂³×C₄	1	4	yes	—
288	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
289	C₂×C₄×C₆₁	C₂³×C₄	1	4	yes	—
290	C₂×C₄×C₆₁	C₂³×C₄	1	4	yes	—
291	C₂×C₄×C₆₁	C₂³×C₄	1	8	yes	—
292	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
293	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
294	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
295	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
296	C₂×C₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
297	C₂×C₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
298	C₂×C₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
299	#34484	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
300	C₂²×C₆₁	—	2	4	no	—
301	C₂²×C₆₁	—	2	4	no	—
302	C₂²×C₆₁	—	2	4	no	—
303	C₂²×C₆₁	—	4	2	no	—
304	C₂²×C₆₁	—	4	2	no	—
305	C₂²×C₆₁	—	4	2	no	—
306	C₂²×C₆₁	—	4	2	no	—
307	C₂²×C₆₁	C₂⁴×C₄	1	1	yes	characteristic
308	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
309	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
310	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
311	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
312	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
313	C₂²×C₆₁	#585	1	1	yes	characteristic
314	C₄×C₆₁	—	2	4	no	—
315	C₄×C₆₁	—	2	4	no	—
316	C₄×C₆₁	—	2	4	no	—
317	C₄×C₆₁	—	2	8	no	—
318	C₄×C₆₁	—	2	2	no	—
319	C₄×C₆₁	—	2	2	no	—
320	C₄×C₆₁	—	4	2	no	—
321	C₄×C₆₁	—	4	2	no	—
322	C₄×C₆₁	—	4	1	no	—
323	C₄×C₆₁	—	4	2	no	—
324	C₄×C₆₁	—	4	1	no	—
325	C₄×C₆₁	—	4	2	no	—
326	C₄×C₆₁	—	4	4	no	—
327	C₄×C₆₁	—	4	1	no	—
328	C₄×C₆₁	#519	1	4	yes	—
329	C₄×C₆₁	#520	1	4	yes	—
330	C₂×#554	C₂×C₆₁	1	1	yes	characteristic
331	#2378	C₂×C₆₁	1	4	yes	complemented
332	#2370	C₂×C₆₁	1	2	yes	complemented
333	#2369	C₂×C₆₁	1	1	yes	characteristic, complemented
334	#2362	C₂×C₆₁	1	2	yes	complemented
335	#2354	C₂×C₆₁	1	1	yes	characteristic
336	#2354	C₂×C₆₁	1	2	yes	—
337	Q₈×C₄⋊C₄	C₂×C₆₁	1	1	yes	characteristic, complemented
338	#2344	C₂×C₆₁	1	2	yes	complemented
339	#2330	C₂×C₆₁	1	2	yes	complemented
340	#2323	C₂×C₆₁	1	2	yes	complemented
341	#2323	C₂×C₆₁	1	4	yes	complemented
342	#2319	C₂×C₆₁	1	2	yes	—
343	#2316	C₂×C₆₁	1	2	yes	complemented
344	C₄×C₄⋊Q₈	C₂×C₆₁	1	1	yes	characteristic, complemented
345	#2295	C₂×C₆₁	1	1	yes	characteristic, complemented
346	#2293	C₂×C₆₁	1	1	yes	characteristic
347	C₂×C₆₁	—	4	4	no	—
348	C₂×C₆₁	C₂×#519	1	1	yes	characteristic
349	C₂×C₆₁	C₂×#520	1	1	yes	characteristic
350	C₂×C₆₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
351	C₂×C₆₁	#3544	1	1	yes	characteristic
352	C₂×C₆₁	#3547	1	1	yes	characteristic
353	C₂×C₆₁	#3548	1	1	yes	characteristic
354	C₂×C₆₁	#3555	1	1	yes	characteristic
355	#554	C₄×C₆₁	1	16	yes	complemented
356	C₂×C₄⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
357	C₂×#125	C₂²×C₆₁	1	2	yes	—
358	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	—
359	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	—
360	C₂×C₄×Q₈	C₂²×C₆₁	1	2	yes	—
361	C₂×C₄×Q₈	C₂²×C₆₁	1	2	yes	—
362	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
363	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	—
364	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
365	C₂×#117	C₂²×C₆₁	1	2	yes	—
366	C₂×#117	C₂²×C₆₁	1	2	yes	—
367	C₂×#117	C₂²×C₆₁	1	4	yes	—
368	C₂²×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
369	#391	C₂²×C₆₁	1	2	yes	—
370	#391	C₂²×C₆₁	1	1	yes	characteristic
371	#391	C₂²×C₆₁	1	4	yes	—
372	#391	C₂²×C₆₁	1	1	yes	characteristic
373	#390	C₂²×C₆₁	1	1	yes	characteristic
374	#390	C₂²×C₆₁	1	2	yes	—
375	#390	C₂²×C₆₁	1	1	yes	characteristic
376	#389	C₂²×C₆₁	1	2	yes	—
377	#389	C₂²×C₆₁	1	2	yes	—
378	#389	C₂²×C₆₁	1	1	yes	characteristic
379	#389	C₂²×C₆₁	1	4	yes	—
380	#389	C₂²×C₆₁	1	2	yes	—
381	#389	C₂²×C₆₁	1	2	yes	—
382	#389	C₂²×C₆₁	1	4	yes	—
383	#389	C₂²×C₆₁	1	2	yes	—
384	#389	C₂²×C₆₁	1	4	yes	—
385	#389	C₂²×C₆₁	1	4	yes	—
386	#389	C₂²×C₆₁	1	1	yes	characteristic
387	#389	C₂²×C₆₁	1	1	yes	characteristic
388	#389	C₂²×C₆₁	1	1	yes	characteristic
389	#388	C₂²×C₆₁	1	4	yes	—
390	#388	C₂²×C₆₁	1	4	yes	—
391	#388	C₂²×C₆₁	1	2	yes	—
392	#388	C₂²×C₆₁	1	4	yes	—
393	#388	C₂²×C₆₁	1	4	yes	—
394	#388	C₂²×C₆₁	1	4	yes	—
395	#388	C₂²×C₆₁	1	2	yes	—
396	#387	C₂²×C₆₁	1	2	yes	—
397	#387	C₂²×C₆₁	1	4	yes	—
398	#387	C₂²×C₆₁	1	4	yes	—
399	#387	C₂²×C₆₁	1	4	yes	—
400	#387	C₂²×C₆₁	1	4	yes	—
401	#387	C₂²×C₆₁	1	2	yes	—
402	#384	C₂²×C₆₁	1	1	yes	characteristic
403	#384	C₂²×C₆₁	1	2	yes	—
404	#381	C₂²×C₆₁	1	4	yes	—
405	#380	C₂²×C₆₁	1	4	yes	—
406	#380	C₂²×C₆₁	1	4	yes	—
407	#380	C₂²×C₆₁	1	2	yes	—
408	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
409	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
410	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
411	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
412	C₄×C₄⋊C₄	C₂²×C₆₁	1	4	yes	—
413	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
414	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
415	C₄×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
416	C₄×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
417	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
418	C₄×C₂²⋊C₄	C₂²×C₆₁	1	2	yes	—
419	#376	C₂²×C₆₁	1	2	yes	—
420	C₄³	C₂²×C₆₁	1	1	yes	characteristic
421	C₆₁	#34484	1	1	yes	characteristic, direct product factor, Sylow
422	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
423	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
424	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
425	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
426	C₂³×C₄	C₂³×C₆₁	1	4	yes	—
427	C₄⋊Q₈	C₂×C₄×C₆₁	1	8	yes	—
428	#125	C₂×C₄×C₆₁	1	16	yes	—
429	C₂²⋊Q₈	C₂×C₄×C₆₁	1	32	yes	—
430	C₂²⋊Q₈	C₂×C₄×C₆₁	1	16	yes	—
431	C₄×Q₈	—	4	4	no	—
432	C₄×Q₈	—	4	4	no	—
433	C₄×Q₈	C₂×C₄×C₆₁	1	8	yes	—
434	C₄×D₄	C₂×C₄×C₆₁	1	16	yes	—
435	C₄×D₄	C₂×C₄×C₆₁	1	8	yes	—
436	#117	—	4	4	no	—
437	#117	—	4	8	no	—
438	#117	—	4	4	no	—
439	C₂×C₄⋊C₄	C₂×C₄×C₆₁	1	16	yes	—
440	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
441	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
442	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
443	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
444	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
445	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
446	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
447	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
448	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
449	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
450	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
451	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
452	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
453	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
454	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
455	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
456	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
457	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
458	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
459	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
460	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
461	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
462	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
463	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
464	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
466	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
467	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
468	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
469	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
470	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
471	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
472	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
473	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
474	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
475	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
476	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
477	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
478	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
479	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
480	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
481	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
482	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
483	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
484	#95	C₂³×C₆₁	1	2	yes	—
485	#95	C₂³×C₆₁	1	2	yes	—
486	#95	C₂³×C₆₁	1	2	yes	—
487	#95	C₂³×C₆₁	1	2	yes	—
488	#95	C₂³×C₆₁	1	2	yes	—
489	#95	C₂³×C₆₁	1	2	yes	—
490	#95	C₂³×C₆₁	1	2	yes	—
491	#95	C₂³×C₆₁	1	4	yes	—
492	#95	C₂³×C₆₁	1	4	yes	—
493	#95	C₂³×C₆₁	1	4	yes	—
494	#95	C₂³×C₆₁	1	4	yes	—
495	#95	C₂³×C₆₁	1	4	yes	—
496	#95	C₂³×C₆₁	1	4	yes	—
497	#95	C₂³×C₆₁	1	2	yes	—
498	#95	C₂³×C₆₁	1	2	yes	—
499	#95	C₂³×C₆₁	1	2	yes	—
500	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
501	C₂×Q₈	—	2	2	no	—
502	C₂×Q₈	—	2	2	no	—
503	C₂×Q₈	—	4	2	no	—
504	C₂×Q₈	—	4	2	no	—
505	C₂×Q₈	C₂²×C₄×C₆₁	1	4	yes	—
506	C₂×Q₈	C₂²×C₄×C₆₁	1	8	yes	—
507	C₂×D₄	—	2	2	no	—
508	C₂×D₄	—	2	2	no	—
509	C₂×D₄	C₂²×C₄×C₆₁	1	4	yes	—
510	C₂²×C₄	—	2	4	no	—
511	C₂²×C₄	—	2	4	no	—
512	C₂²×C₄	—	4	4	no	—
513	C₂²×C₄	—	4	4	no	—
514	C₂²×C₄	C₂²×C₄×C₆₁	1	8	yes	—
515	C₂²×C₄	C₂²×C₄×C₆₁	1	16	yes	—
516	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
517	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
518	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
519	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
520	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
521	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
522	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
523	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
524	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
525	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
526	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
527	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
528	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
529	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
530	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
532	C₄⋊C₄	—	2	4	no	—
533	C₄⋊C₄	—	2	2	no	—
534	C₄⋊C₄	—	2	4	no	—
535	C₄⋊C₄	—	2	2	no	—
536	C₄⋊C₄	—	2	4	no	—
537	C₄⋊C₄	—	2	2	no	—
538	C₄⋊C₄	—	2	2	no	—
539	C₄⋊C₄	—	4	2	no	—
540	C₄⋊C₄	—	4	2	no	—
541	C₄⋊C₄	—	4	4	no	—
542	C₄⋊C₄	—	4	4	no	—
543	C₄⋊C₄	—	4	2	no	—
544	C₄⋊C₄	—	4	4	no	—
545	C₄⋊C₄	—	4	2	no	—
546	C₄⋊C₄	—	4	4	no	—
547	C₄⋊C₄	C₂²×C₄×C₆₁	1	4	yes	—
548	C₄⋊C₄	C₂²×C₄×C₆₁	1	16	yes	—
549	C₄⋊C₄	C₂²×C₄×C₆₁	1	8	yes	—
550	C₄⋊C₄	C₂²×C₄×C₆₁	1	4	yes	—
551	C₄⋊C₄	C₂²×C₄×C₆₁	1	8	yes	—
552	C₄⋊C₄	C₂²×C₄×C₆₁	1	8	yes	—
553	C₄⋊C₄	C₂²×C₄×C₆₁	1	16	yes	—
554	C₂²⋊C₄	—	2	4	no	—
555	C₂²⋊C₄	—	4	2	no	—
556	C₂²⋊C₄	—	4	2	no	—
557	C₂²⋊C₄	—	4	4	no	—
558	C₂²⋊C₄	—	4	4	no	—
559	C₂²⋊C₄	—	4	2	no	—
560	C₂²⋊C₄	C₂²×C₄×C₆₁	1	16	yes	—
561	C₂²⋊C₄	C₂²×C₄×C₆₁	1	8	yes	—
562	C₄²	—	2	2	no	—
563	C₄²	—	2	8	no	—
564	C₄²	—	2	4	no	—
565	C₄²	—	2	2	no	—
566	C₄²	—	2	2	no	—
567	C₄²	—	2	2	no	—
568	C₄²	—	2	4	no	—
569	C₄²	—	2	2	no	—
570	C₄²	—	4	4	no	—
571	C₄²	—	4	4	no	—
572	C₄²	—	4	4	no	—
573	C₄²	—	4	1	no	—
574	C₄²	C₂²×C₄×C₆₁	1	8	yes	—
575	C₄²	C₂²×C₄×C₆₁	1	4	yes	—
576	C₂³	—	2	2	no	—
577	C₂³	—	2	2	no	—
578	C₂³	—	2	2	no	—
579	C₂³	—	2	2	no	—
580	C₂³	—	2	2	no	—
581	C₂³	—	2	2	no	—
582	C₂³	C₂³×C₄×C₆₁	1	4	yes	—
583	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
584	Q₈	—	2	8	no	—
585	Q₈	—	4	8	no	—
586	D₄	—	2	8	no	—
587	C₂×C₄	—	2	4	no	—
588	C₂×C₄	—	2	1	no	—
589	C₂×C₄	—	2	2	no	—
590	C₂×C₄	—	2	2	no	—
591	C₂×C₄	—	2	2	no	—
592	C₂×C₄	—	2	1	no	—
593	C₂×C₄	—	2	1	no	—
594	C₂×C₄	—	2	2	no	—
595	C₂×C₄	—	2	2	no	—
596	C₂×C₄	—	2	1	no	—
597	C₂×C₄	—	2	2	no	—
598	C₂×C₄	—	2	4	no	—
599	C₂×C₄	—	2	16	no	—
600	C₂×C₄	—	2	2	no	—
601	C₂×C₄	—	2	1	no	—
602	C₂×C₄	—	2	1	no	—
603	C₂×C₄	—	2	4	no	—
604	C₂×C₄	—	2	2	no	—
605	C₂×C₄	—	2	1	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	2	4	no	—
610	C₂×C₄	—	2	2	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	2	no	—
613	C₂×C₄	—	2	1	no	—
614	C₂×C₄	—	2	1	no	—
615	C₂×C₄	—	2	1	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	2	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	1	no	—
621	C₂×C₄	—	2	1	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	4	16	no	—
625	C₂×C₄	C₂³×C₄×C₆₁	1	4	yes	—
626	C₂×C₄	C₂³×C₄×C₆₁	1	2	yes	—
627	C₂×C₄	C₂³×C₄×C₆₁	1	4	yes	—
628	C₂×C₄	C₂³×C₄×C₆₁	1	4	yes	—
629	C₂×C₄	C₂³×C₄×C₆₁	1	8	yes	—
630	C₂×C₄	C₂³×C₄×C₆₁	1	2	yes	—
631	C₂×C₄	C₂³×C₄×C₆₁	1	2	yes	—
632	C₂×C₄	H(5,𝔽₂)×C₆₁	1	2	yes	—
633	C₂×C₄	H(5,𝔽₂)×C₆₁	1	2	yes	—
634	C₂×C₄	2₋¹⁺⁴×C₆₁	1	2	yes	—
635	C₂×C₄	2₋¹⁺⁴×C₆₁	1	2	yes	—
636	C₂×C₄	2₋¹⁺⁴×C₆₁	1	2	yes	—
637	C₂²	—	2	4	no	—
638	C₂²	—	2	4	no	—
639	C₂²	—	2	4	no	—
640	C₂²	—	4	2	no	—
641	C₂²	—	4	2	no	—
642	C₂²	—	4	2	no	—
643	C₂²	—	4	2	no	—
644	C₂²	C₂⁴×C₄×C₆₁	1	1	yes	characteristic
645	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
646	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
647	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
648	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
649	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
650	C₂²	C₆₁×#585	1	1	yes	characteristic
651	C₄	—	2	2	no	—
652	C₄	—	2	4	no	—
653	C₄	—	2	4	no	—
654	C₄	—	2	4	no	—
655	C₄	—	2	8	no	—
656	C₄	—	2	2	no	—
657	C₄	—	4	2	no	—
658	C₄	—	4	2	no	—
659	C₄	—	4	1	no	—
660	C₄	—	4	2	no	—
661	C₄	—	4	1	no	—
662	C₄	—	4	2	no	—
663	C₄	—	4	4	no	—
664	C₄	—	4	1	no	—
665	C₄	C₆₁×#519	1	4	yes	—
666	C₄	C₆₁×#520	1	4	yes	—
667	C₂	—	4	4	no	—
668	C₂	C₂×C₆₁×#519	1	1	yes	characteristic
669	C₂	C₂×C₆₁×#520	1	1	yes	characteristic
670	C₂	C₄×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
671	C₂	C₆₁×#3544	1	1	yes	characteristic
672	C₂	C₆₁×#3547	1	1	yes	characteristic
673	C₂	C₆₁×#3548	1	1	yes	characteristic
674	C₂	C₆₁×#3555	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₆₁
Frattini, cosocle	C₂³	C₂⁵×C₆₁
prime radical	C₂²×D₄×C₆₁	C₂³
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₆₁×#2378	C₂	semidirect
3. C₆₁×#2370	C₂	semidirect
4. C₆₁×#2369	C₂	semidirect
5. C₆₁×#2362	C₂	semidirect
8. Q₈×C₄⋊C₄×C₆₁	C₂	semidirect
9. C₆₁×#2344	C₂	semidirect
10. C₆₁×#2330	C₂	semidirect
11. C₆₁×#2323	C₂	semidirect
12. C₆₁×#2323	C₂	semidirect
14. C₆₁×#2316	C₂	semidirect
15. C₄×C₄⋊Q₈×C₆₁	C₂	semidirect
16. C₆₁×#2295	C₂	semidirect
18. C₆₁×#554	C₄	semidirect
299. #34484	C₆₁	direct (N × H)
331. #2378	C₂×C₆₁	semidirect
332. #2370	C₂×C₆₁	semidirect
333. #2369	C₂×C₆₁	semidirect
334. #2362	C₂×C₆₁	semidirect
337. Q₈×C₄⋊C₄	C₂×C₆₁	semidirect
338. #2344	C₂×C₆₁	semidirect
339. #2330	C₂×C₆₁	semidirect
340. #2323	C₂×C₆₁	semidirect
341. #2323	C₂×C₆₁	semidirect
343. #2316	C₂×C₆₁	semidirect
344. C₄×C₄⋊Q₈	C₂×C₆₁	semidirect
345. #2295	C₂×C₆₁	semidirect
355. #554	C₄×C₆₁	semidirect
421. C₆₁	#34484	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₆₁×#554	2
C₆₁×#2378	2
C₆₁×#2370	2
C₆₁×#2369	2
C₆₁×#2362	2
C₆₁×#2354	2
Q₈×C₄⋊C₄×C₆₁	2
C₆₁×#2344	2
C₆₁×#2330	2
C₆₁×#2323	2
C₆₁×#2319	2
C₆₁×#2316	2
C₄×C₄⋊Q₈×C₆₁	2
C₆₁×#2295	2
C₆₁×#2293	2
#34484	61

Subgroups — C61×#34484 #29537917

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#34484 #29537917