Subgroups — C₆₁×#20475 #29523908

Order 15616.

906 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₆₁×#433	C₂	1	1	yes	maximal, characteristic
2	C₂×C₆₁×#405	C₂	1	1	yes	maximal, characteristic
3	C₆₁×#2298	C₂	1	1	yes	maximal, characteristic
4	C₆₁×#1771	C₂	1	2	yes	maximal, complemented
5	C₆₁×#1770	C₂	1	2	yes	maximal, complemented
6	C₆₁×#1753	C₂	1	2	yes	maximal
7	C₆₁×#1752	C₂	1	2	yes	maximal
8	C₆₁×#1746	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#1745	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#1726	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×#97×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×M₁₆×C₆₁	C₂²	1	1	yes	characteristic
13	C₂³×C₈×C₆₁	C₂²	1	1	yes	characteristic
14	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic
15	C₆₁×#433	C₄	1	8	yes	complemented
16	C₂×C₄⋊C₈×C₆₁	C₂²	1	2	yes	—
17	C₂×C₂²⋊C₈×C₆₁	C₂²	1	2	yes	—
18	C₆₁×#405	C₄	1	8	yes	complemented
19	C₂×#97×C₆₁	C₂²	1	2	yes	—
20	C₂×#97×C₆₁	C₂²	1	2	yes	—
21	C₂×#97×C₆₁	C₂²	1	2	yes	—
22	C₂×#97×C₆₁	C₂²	1	1	yes	characteristic
23	C₂×#97×C₆₁	C₂²	1	1	yes	characteristic
24	C₂×#97×C₆₁	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₈×C₆₁	C₂²	1	2	yes	—
26	C₂×C₄×C₈×C₆₁	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₆₁	C₂²	1	1	yes	characteristic
28	C₂×C₄×C₈×C₆₁	C₂²	1	1	yes	characteristic
29	C₆₁×#388	C₄	1	4	yes	—
30	C₆₁×#387	C₄	1	4	yes	—
31	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
32	C₄×C₂²⋊C₄×C₆₁	C₂²	1	2	yes	—
33	C₆₁×#376	C₂²	1	1	yes	characteristic
34	C₄³×C₆₁	C₂²	1	1	yes	characteristic
35	C₆₁×#336	C₂²	1	2	yes	—
36	C₆₁×#336	C₂²	1	2	yes	—
37	C₆₁×#336	C₂²	1	2	yes	—
38	C₆₁×#336	C₂²	1	2	yes	—
39	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
40	C₂×M₁₆×C₆₁	—	2	4	no	—
41	C₂×M₁₆×C₆₁	C₂×C₄	1	4	yes	—
42	C₂²×C₈×C₆₁	—	2	4	no	—
43	C₂²×C₈×C₆₁	C₂×C₄	1	4	yes	—
44	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
45	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
47	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
48	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
49	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
50	#117×C₆₁	C₂×C₄	1	4	yes	—
51	#117×C₆₁	C₂×C₄	1	4	yes	—
52	C₂×C₄⋊C₄×C₆₁	C₂×C₄	1	4	yes	—
53	C₂×C₄⋊C₄×C₆₁	C₂×C₄	1	2	yes	—
54	C₂×C₂²⋊C₄×C₆₁	C₂×C₄	1	4	yes	—
55	C₂×C₂²⋊C₄×C₆₁	C₂×C₄	1	2	yes	—
56	C₂×C₄²×C₆₁	C₂×C₄	1	4	yes	—
57	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
58	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
59	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
61	C₄⋊C₈×C₆₁	C₂×C₄	1	8	yes	—
62	C₂²⋊C₈×C₆₁	C₂×C₄	1	8	yes	—
63	#97×C₆₁	—	2	4	no	—
64	#97×C₆₁	—	2	4	no	—
65	#97×C₆₁	—	2	4	no	—
66	#97×C₆₁	C₂×C₄	1	4	yes	—
67	#97×C₆₁	C₂×C₄	1	4	yes	—
68	#97×C₆₁	C₂×C₄	1	4	yes	—
69	C₄×C₈×C₆₁	—	2	4	no	—
70	C₄×C₈×C₆₁	C₂×C₄	1	4	yes	—
71	C₄×C₈×C₆₁	C₂×C₄	1	4	yes	—
72	C₄×C₈×C₆₁	C₂×C₄	1	4	yes	—
73	#95×C₆₁	C₂×C₄	1	4	yes	—
74	#95×C₆₁	C₂×C₄	1	4	yes	—
75	#95×C₆₁	C₂×C₄	1	4	yes	—
76	C₂⁴×C₆₁	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₄×C₆₁	—	2	2	no	—
78	C₂²×C₄×C₆₁	—	2	2	no	—
79	C₂²×C₄×C₆₁	C₂²×C₄	1	4	yes	—
80	C₂²×C₄×C₆₁	C₂²×C₄	1	4	yes	—
81	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
82	C₂²×C₄×C₆₁	C₂²×C₄	1	2	yes	—
83	C₂²×C₄×C₆₁	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₆₁	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₆₁	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
87	M₁₆×C₆₁	—	2	8	no	—
88	C₂×C₈×C₆₁	—	2	2	no	—
89	C₂×C₈×C₆₁	—	2	2	no	—
90	C₂×C₈×C₆₁	—	2	2	no	—
91	C₂×C₈×C₆₁	—	2	2	no	—
92	C₂×C₈×C₆₁	—	2	2	no	—
93	C₂×C₈×C₆₁	—	2	2	no	—
94	C₂×C₈×C₆₁	—	2	8	no	—
95	C₂×C₈×C₆₁	C₂²×C₄	1	2	yes	—
96	C₂×C₈×C₆₁	C₂²×C₄	1	4	yes	—
97	C₂×C₈×C₆₁	C₂²×C₄	1	2	yes	—
98	C₂×C₈×C₆₁	C₂²×C₄	1	4	yes	—
99	C₂×C₈×C₆₁	C₂²×C₄	1	2	yes	—
100	C₂×C₈×C₆₁	C₂²×C₄	1	2	yes	—
101	C₂×C₈×C₆₁	#41	1	4	yes	—
102	C₂×C₈×C₆₁	#41	1	4	yes	—
103	C₄⋊C₄×C₆₁	—	4	4	no	—
104	C₄⋊C₄×C₆₁	C₄²	1	8	yes	—
105	C₂²⋊C₄×C₆₁	—	4	4	no	—
106	C₂²⋊C₄×C₆₁	C₄²	1	8	yes	—
107	C₄²×C₆₁	—	2	2	no	—
108	C₄²×C₆₁	—	2	2	no	—
109	C₄²×C₆₁	—	2	2	no	—
110	C₄²×C₆₁	—	2	2	no	—
111	C₄²×C₆₁	—	4	4	no	—
112	C₄²×C₆₁	C₂²×C₄	1	2	yes	—
113	C₄²×C₆₁	C₂²×C₄	1	2	yes	—
114	C₄²×C₆₁	C₂²×C₄	1	2	yes	—
115	C₄²×C₆₁	C₂²×C₄	1	2	yes	—
116	C₂³×C₆₁	—	2	2	no	—
117	C₂³×C₆₁	—	2	4	no	—
118	C₂³×C₆₁	C₂×C₄²	1	2	yes	—
119	C₂³×C₆₁	C₂³×C₄	1	1	yes	characteristic
120	C₂×C₄×C₆₁	—	2	2	no	—
121	C₂×C₄×C₆₁	—	2	4	no	—
122	C₂×C₄×C₆₁	—	2	4	no	—
123	C₂×C₄×C₆₁	—	2	2	no	—
124	C₂×C₄×C₆₁	—	2	2	no	—
125	C₂×C₄×C₆₁	—	2	4	no	—
126	C₂×C₄×C₆₁	—	2	4	no	—
127	C₂×C₄×C₆₁	—	2	4	no	—
128	C₂×C₄×C₆₁	—	2	4	no	—
129	C₂×C₄×C₆₁	—	2	4	no	—
130	C₂×C₄×C₆₁	—	2	4	no	—
131	C₂×C₄×C₆₁	—	2	4	no	—
132	C₂×C₄×C₆₁	C₂×C₄²	1	4	yes	—
133	C₂×C₄×C₆₁	C₂×C₄²	1	4	yes	—
134	C₂×C₄×C₆₁	C₂×C₄²	1	2	yes	—
135	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
136	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
137	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
138	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
139	C₈×C₆₁	—	2	2	no	—
140	C₈×C₆₁	—	2	2	no	—
141	C₈×C₆₁	—	2	4	no	—
142	C₈×C₆₁	—	2	4	no	—
143	C₈×C₆₁	#117	1	4	yes	—
144	C₈×C₆₁	#117	1	4	yes	—
145	#20475	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
146	C₂²×C₆₁	—	2	4	no	—
147	C₂²×C₆₁	—	2	2	no	—
148	C₂²×C₆₁	—	4	4	no	—
149	C₂²×C₆₁	C₂²×C₄²	1	1	yes	characteristic
150	C₂²×C₆₁	C₄×#41	1	2	yes	—
151	C₂²×C₆₁	#568	1	4	yes	—
152	C₄×C₆₁	—	2	4	no	—
153	C₄×C₆₁	—	2	4	no	—
154	C₄×C₆₁	—	2	2	no	—
155	C₄×C₆₁	—	4	4	no	—
156	C₄×C₆₁	—	4	4	no	—
157	C₄×C₆₁	C₂×#117	1	1	yes	characteristic
158	C₄×C₆₁	C₂×#117	1	1	yes	characteristic
159	C₄×C₆₁	C₄×#41	1	2	yes	—
160	C₂×#433	C₂×C₆₁	1	1	yes	characteristic
161	C₂×#405	C₂×C₆₁	1	1	yes	characteristic
162	#2298	C₂×C₆₁	1	1	yes	characteristic
163	#1771	C₂×C₆₁	1	2	yes	complemented
164	#1770	C₂×C₆₁	1	2	yes	complemented
165	#1753	C₂×C₆₁	1	2	yes	—
166	#1752	C₂×C₆₁	1	2	yes	—
167	#1746	C₂×C₆₁	1	1	yes	characteristic, complemented
168	#1745	C₂×C₆₁	1	1	yes	characteristic, complemented
169	#1726	C₂×C₆₁	1	1	yes	characteristic, complemented
170	C₄×#97	C₂×C₆₁	1	1	yes	characteristic, complemented
171	C₂×C₆₁	—	4	2	no	—
172	C₂×C₆₁	C₄×#117	1	1	yes	characteristic
173	C₂×C₆₁	#2875	1	2	yes	—
174	C₂×C₆₁	#2967	1	4	yes	—
175	C₂²×M₁₆	C₂²×C₆₁	1	1	yes	characteristic
176	C₂³×C₈	C₂²×C₆₁	1	1	yes	characteristic
177	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic
178	#433	C₄×C₆₁	1	8	yes	complemented
179	C₂×C₄⋊C₈	C₂²×C₆₁	1	2	yes	—
180	C₂×C₂²⋊C₈	C₂²×C₆₁	1	2	yes	—
181	#405	C₄×C₆₁	1	8	yes	complemented
182	C₂×#97	C₂²×C₆₁	1	2	yes	—
183	C₂×#97	C₂²×C₆₁	1	2	yes	—
184	C₂×#97	C₂²×C₆₁	1	2	yes	—
185	C₂×#97	C₂²×C₆₁	1	1	yes	characteristic
186	C₂×#97	C₂²×C₆₁	1	1	yes	characteristic
187	C₂×#97	C₂²×C₆₁	1	1	yes	characteristic
188	C₂×C₄×C₈	C₂²×C₆₁	1	2	yes	—
189	C₂×C₄×C₈	C₂²×C₆₁	1	1	yes	characteristic
190	C₂×C₄×C₈	C₂²×C₆₁	1	1	yes	characteristic
191	C₂×C₄×C₈	C₂²×C₆₁	1	1	yes	characteristic
192	#388	C₄×C₆₁	1	4	yes	—
193	#387	C₄×C₆₁	1	4	yes	—
194	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
195	C₄×C₂²⋊C₄	C₂²×C₆₁	1	2	yes	—
196	#376	C₂²×C₆₁	1	1	yes	characteristic
197	C₄³	C₂²×C₆₁	1	1	yes	characteristic
198	#336	C₂²×C₆₁	1	2	yes	—
199	#336	C₂²×C₆₁	1	2	yes	—
200	#336	C₂²×C₆₁	1	2	yes	—
201	#336	C₂²×C₆₁	1	2	yes	—
202	C₆₁	#20475	1	1	yes	characteristic, direct product factor, Sylow
203	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
204	C₂×M₁₆	—	2	4	no	—
205	C₂×M₁₆	C₂×C₄×C₆₁	1	4	yes	—
206	C₂²×C₈	—	2	4	no	—
207	C₂²×C₈	C₂×C₄×C₆₁	1	4	yes	—
208	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
209	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
210	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
211	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
212	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
213	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
214	#117	C₂×C₄×C₆₁	1	4	yes	—
215	#117	C₂×C₄×C₆₁	1	4	yes	—
216	C₂×C₄⋊C₄	C₂×C₄×C₆₁	1	4	yes	—
217	C₂×C₄⋊C₄	C₂×C₄×C₆₁	1	2	yes	—
218	C₂×C₂²⋊C₄	C₂×C₄×C₆₁	1	4	yes	—
219	C₂×C₂²⋊C₄	C₂×C₄×C₆₁	1	2	yes	—
220	C₂×C₄²	C₂×C₄×C₆₁	1	4	yes	—
221	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
222	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
223	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
224	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
225	C₄⋊C₈	C₂×C₄×C₆₁	1	8	yes	—
226	C₂²⋊C₈	C₂×C₄×C₆₁	1	8	yes	—
227	#97	—	2	4	no	—
228	#97	—	2	4	no	—
229	#97	—	2	4	no	—
230	#97	C₂×C₄×C₆₁	1	4	yes	—
231	#97	C₂×C₄×C₆₁	1	4	yes	—
232	#97	C₂×C₄×C₆₁	1	4	yes	—
233	C₄×C₈	—	2	4	no	—
234	C₄×C₈	C₂×C₄×C₆₁	1	4	yes	—
235	C₄×C₈	C₂×C₄×C₆₁	1	4	yes	—
236	C₄×C₈	C₂×C₄×C₆₁	1	4	yes	—
237	#95	C₂×C₄×C₆₁	1	4	yes	—
238	#95	C₂×C₄×C₆₁	1	4	yes	—
239	#95	C₂×C₄×C₆₁	1	4	yes	—
240	C₂⁴	C₂²×C₄×C₆₁	1	1	yes	characteristic
241	C₂²×C₄	—	2	2	no	—
242	C₂²×C₄	—	2	2	no	—
243	C₂²×C₄	C₂²×C₄×C₆₁	1	4	yes	—
244	C₂²×C₄	C₂²×C₄×C₆₁	1	4	yes	—
245	C₂²×C₄	C₂²×C₄×C₆₁	1	1	yes	characteristic
246	C₂²×C₄	C₂²×C₄×C₆₁	1	2	yes	—
247	C₂²×C₄	C₂²×C₄×C₆₁	1	2	yes	—
248	C₂²×C₄	C₂²×C₄×C₆₁	1	2	yes	—
249	C₂²×C₄	C₂²×C₄×C₆₁	1	2	yes	—
250	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
251	M₁₆	—	2	8	no	—
252	C₂×C₈	—	2	2	no	—
253	C₂×C₈	—	2	2	no	—
254	C₂×C₈	—	2	2	no	—
255	C₂×C₈	—	2	2	no	—
256	C₂×C₈	—	2	2	no	—
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	—	2	8	no	—
259	C₂×C₈	C₂²×C₄×C₆₁	1	2	yes	—
260	C₂×C₈	C₂²×C₄×C₆₁	1	4	yes	—
261	C₂×C₈	C₂²×C₄×C₆₁	1	2	yes	—
262	C₂×C₈	C₂²×C₄×C₆₁	1	4	yes	—
263	C₂×C₈	C₂²×C₄×C₆₁	1	2	yes	—
264	C₂×C₈	C₂²×C₄×C₆₁	1	2	yes	—
265	C₂×C₈	#41×C₆₁	1	4	yes	—
266	C₂×C₈	#41×C₆₁	1	4	yes	—
267	C₄⋊C₄	—	4	4	no	—
268	C₄⋊C₄	C₄²×C₆₁	1	8	yes	—
269	C₂²⋊C₄	—	4	4	no	—
270	C₂²⋊C₄	C₄²×C₆₁	1	8	yes	—
271	C₄²	—	2	2	no	—
272	C₄²	—	2	2	no	—
273	C₄²	—	2	2	no	—
274	C₄²	—	2	2	no	—
275	C₄²	—	4	4	no	—
276	C₄²	C₂²×C₄×C₆₁	1	2	yes	—
277	C₄²	C₂²×C₄×C₆₁	1	2	yes	—
278	C₄²	C₂²×C₄×C₆₁	1	2	yes	—
279	C₄²	C₂²×C₄×C₆₁	1	2	yes	—
280	C₂³	—	2	4	no	—
281	C₂³	—	2	2	no	—
282	C₂³	C₂×C₄²×C₆₁	1	2	yes	—
283	C₂³	C₂³×C₄×C₆₁	1	1	yes	characteristic
284	C₂×C₄	—	2	4	no	—
285	C₂×C₄	—	2	4	no	—
286	C₂×C₄	—	2	2	no	—
287	C₂×C₄	—	2	2	no	—
288	C₂×C₄	—	2	2	no	—
289	C₂×C₄	—	2	4	no	—
290	C₂×C₄	—	2	4	no	—
291	C₂×C₄	—	2	4	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	2	4	no	—
296	C₂×C₄	C₂×C₄²×C₆₁	1	4	yes	—
297	C₂×C₄	C₂×C₄²×C₆₁	1	4	yes	—
298	C₂×C₄	C₂×C₄²×C₆₁	1	2	yes	—
299	C₂×C₄	C₂³×C₄×C₆₁	1	1	yes	characteristic
300	C₂×C₄	C₂³×C₄×C₆₁	1	1	yes	characteristic
301	C₂×C₄	C₂×#41×C₆₁	1	2	yes	—
302	C₂×C₄	C₂×#41×C₆₁	1	2	yes	—
303	C₈	—	2	2	no	—
304	C₈	—	2	2	no	—
305	C₈	—	2	4	no	—
306	C₈	—	2	4	no	—
307	C₈	#117×C₆₁	1	4	yes	—
308	C₈	#117×C₆₁	1	4	yes	—
309	C₂²	—	2	2	no	—
310	C₂²	—	2	4	no	—
311	C₂²	—	4	4	no	—
312	C₂²	C₂²×C₄²×C₆₁	1	1	yes	characteristic
313	C₂²	C₄×#41×C₆₁	1	2	yes	—
314	C₂²	C₆₁×#568	1	4	yes	—
315	C₄	—	2	2	no	—
316	C₄	—	2	4	no	—
317	C₄	—	2	4	no	—
318	C₄	—	4	4	no	—
319	C₄	—	4	4	no	—
320	C₄	C₂×#117×C₆₁	1	1	yes	characteristic
321	C₄	C₂×#117×C₆₁	1	1	yes	characteristic
322	C₄	C₄×#41×C₆₁	1	2	yes	—
323	C₂	—	4	2	no	—
324	C₂	C₄×#117×C₆₁	1	1	yes	characteristic
325	C₂	C₆₁×#2875	1	2	yes	—
326	C₂	C₆₁×#2967	1	4	yes	—

	subgroup	G/H
center	C₂²×C₄×C₆₁	C₂⁴
commutator	C₂²	C₂²×C₄²×C₆₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₆₁
socle	C₂³×C₆₁	C₂³×C₄
prime radical	C₂⁴×C₆₁	C₂²×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₆₁×#1771	C₂	semidirect
5. C₆₁×#1770	C₂	semidirect
8. C₆₁×#1746	C₂	semidirect
9. C₆₁×#1745	C₂	semidirect
10. C₆₁×#1726	C₂	semidirect
11. C₄×#97×C₆₁	C₂	semidirect
15. C₆₁×#433	C₄	semidirect
18. C₆₁×#405	C₄	semidirect
145. #20475	C₆₁	direct (N × H)
163. #1771	C₂×C₆₁	semidirect
164. #1770	C₂×C₆₁	semidirect
167. #1746	C₂×C₆₁	semidirect
168. #1745	C₂×C₆₁	semidirect
169. #1726	C₂×C₆₁	semidirect
170. C₄×#97	C₂×C₆₁	semidirect
178. #433	C₄×C₆₁	semidirect
181. #405	C₄×C₆₁	semidirect
202. C₆₁	#20475	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×#433	2
C₂×C₆₁×#405	2
C₆₁×#2298	2
C₆₁×#1771	2
C₆₁×#1770	2
C₆₁×#1753	2
C₆₁×#1752	2
C₆₁×#1746	2
C₆₁×#1745	2
C₆₁×#1726	2
C₄×#97×C₆₁	2
#20475	61

Subgroups — C61×#20475 #29523908

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#20475 #29523908