Subgroups — C₆₁×#29533 #29532966

Order 15616.

840 conjugacy classes of subgroups.

The subgroup lattice has 374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#2293	C₂	1	2	yes	maximal, complemented
2	C₆₁×#2087	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#2065	C₂	1	2	yes	maximal, complemented
4	C₆₁×#2054	C₂	1	1	yes	maximal, characteristic
5	C₆₁×#1925	C₂	1	2	yes	maximal, complemented
6	C₆₁×#1920	C₂	1	2	yes	maximal, complemented
7	C₆₁×#1879	C₂	1	2	yes	maximal
8	C₆₁×#1864	C₂	1	2	yes	maximal, complemented
9	C₆₁×#1831	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×D₈×C₆₁	C₂²	1	1	yes	characteristic
11	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	—
12	C₂×#117×C₆₁	—	2	2	no	—
13	C₂×#107×C₆₁	C₂²	1	1	yes	characteristic
14	C₂×#106×C₆₁	C₂²	1	2	yes	—
15	C₂×C₄⋊C₈×C₆₁	C₂²	1	1	yes	characteristic
16	C₂×C₄⋊C₈×C₆₁	C₂²	1	1	yes	characteristic
17	C₂×#102×C₆₁	C₂²	1	2	yes	—
18	C₂×#102×C₆₁	C₂²	1	2	yes	—
19	C₂×#102×C₆₁	C₂²	1	2	yes	—
20	C₆₁×#390	C₂²	1	2	yes	—
21	C₆₁×#390	C₂²	1	2	yes	—
22	C₆₁×#389	C₂²	1	2	yes	—
23	C₆₁×#389	C₂²	1	2	yes	—
24	C₆₁×#388	—	2	2	no	—
25	C₆₁×#388	—	2	2	no	—
26	C₄×C₄⋊C₄×C₆₁	C₂²	1	2	yes	—
27	C₄×C₂²⋊C₄×C₆₁	—	2	2	no	—
28	C₄³×C₆₁	C₂²	1	1	yes	characteristic
29	C₆₁×#340	C₂²	1	1	yes	characteristic
30	C₆₁×#340	C₂²	1	2	yes	—
31	C₆₁×#340	C₂²	1	1	yes	characteristic
32	C₆₁×#340	C₂²	1	2	yes	—
33	C₆₁×#336	C₂²	1	2	yes	—
34	C₆₁×#336	C₂²	1	2	yes	—
35	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
36	C₂³×C₄×C₆₁	—	2	2	no	—
37	C₂×D₈×C₆₁	—	2	4	no	—
38	C₂×D₈×C₆₁	—	4	1	no	—
39	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
40	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
41	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
42	C₄×D₄×C₆₁	—	2	4	no	—
43	C₄×D₄×C₆₁	—	2	4	no	—
44	#117×C₆₁	—	4	8	no	—
45	C₂×C₄⋊C₄×C₆₁	—	2	2	no	—
46	C₂×C₄⋊C₄×C₆₁	—	2	2	no	—
47	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
48	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
49	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
50	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
51	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
52	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
53	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
54	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
55	C₂×C₄²×C₆₁	—	2	2	no	—
56	C₂×C₄²×C₆₁	D₄	1	1	yes	characteristic
57	C₂×C₄²×C₆₁	D₄	1	2	yes	—
58	C₂×C₄²×C₆₁	D₄	1	1	yes	characteristic
59	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
60	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
61	#107×C₆₁	—	4	1	no	—
62	#106×C₆₁	—	2	4	no	—
63	C₄⋊C₈×C₆₁	—	4	1	no	—
64	C₄⋊C₈×C₆₁	—	4	1	no	—
65	#102×C₆₁	—	2	4	no	—
66	#102×C₆₁	—	2	4	no	—
67	#102×C₆₁	—	4	2	no	—
68	#95×C₆₁	—	2	2	no	—
69	#95×C₆₁	—	2	2	no	—
70	#95×C₆₁	—	2	2	no	—
71	C₂⁴×C₆₁	—	2	2	no	—
72	C₂×D₄×C₆₁	—	2	2	no	—
73	C₂×D₄×C₆₁	—	2	2	no	—
74	C₂×D₄×C₆₁	—	2	2	no	—
75	C₂×D₄×C₆₁	—	2	2	no	—
76	C₂×D₄×C₆₁	—	2	2	no	—
77	C₂×D₄×C₆₁	#41	1	4	yes	—
78	C₂²×C₄×C₆₁	—	2	8	no	—
79	C₂²×C₄×C₆₁	—	2	2	no	—
80	C₂²×C₄×C₆₁	—	2	2	no	—
81	C₂²×C₄×C₆₁	—	2	2	no	—
82	C₂²×C₄×C₆₁	—	4	4	no	—
83	C₂²×C₄×C₆₁	—	4	4	no	—
84	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
85	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
89	D₈×C₆₁	—	4	4	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	2	no	—
95	C₂×C₈×C₆₁	—	2	1	no	—
96	C₂×C₈×C₆₁	—	2	1	no	—
97	C₄⋊C₄×C₆₁	—	2	2	no	—
98	C₄⋊C₄×C₆₁	—	2	2	no	—
99	C₄⋊C₄×C₆₁	—	2	2	no	—
100	C₄⋊C₄×C₆₁	—	2	2	no	—
101	C₄⋊C₄×C₆₁	—	2	2	no	—
102	C₄⋊C₄×C₆₁	—	4	4	no	—
103	C₄⋊C₄×C₆₁	—	4	4	no	—
104	C₄⋊C₄×C₆₁	#41	1	4	yes	—
105	C₂²⋊C₄×C₆₁	—	2	8	no	—
106	C₂²⋊C₄×C₆₁	—	4	4	no	—
107	C₂²⋊C₄×C₆₁	—	4	4	no	—
108	C₂²⋊C₄×C₆₁	—	4	4	no	—
109	C₂²⋊C₄×C₆₁	—	4	4	no	—
110	C₄²×C₆₁	—	2	2	no	—
111	C₄²×C₆₁	—	2	4	no	—
112	C₄²×C₆₁	—	2	2	no	—
113	C₄²×C₆₁	—	2	2	no	—
114	C₄²×C₆₁	—	2	1	no	—
115	C₄²×C₆₁	—	2	1	no	—
116	C₄²×C₆₁	—	4	1	no	—
117	C₄²×C₆₁	—	4	4	no	—
118	C₂³×C₆₁	—	2	4	no	—
119	C₂³×C₆₁	—	4	2	no	—
120	C₂³×C₆₁	—	4	2	no	—
121	C₂³×C₆₁	—	4	2	no	—
122	C₂³×C₆₁	—	4	2	no	—
123	C₂³×C₆₁	—	4	2	no	—
124	C₂³×C₆₁	—	4	2	no	—
125	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
126	D₄×C₆₁	—	2	4	no	—
127	D₄×C₆₁	—	2	4	no	—
128	D₄×C₆₁	—	4	2	no	—
129	D₄×C₆₁	—	4	2	no	—
130	C₂×C₄×C₆₁	—	2	2	no	—
131	C₂×C₄×C₆₁	—	2	1	no	—
132	C₂×C₄×C₆₁	—	2	2	no	—
133	C₂×C₄×C₆₁	—	2	1	no	—
134	C₂×C₄×C₆₁	—	2	2	no	—
135	C₂×C₄×C₆₁	—	2	4	no	—
136	C₂×C₄×C₆₁	—	2	1	no	—
137	C₂×C₄×C₆₁	—	2	2	no	—
138	C₂×C₄×C₆₁	—	2	2	no	—
139	C₂×C₄×C₆₁	—	2	2	no	—
140	C₂×C₄×C₆₁	—	4	16	no	—
141	C₂×C₄×C₆₁	—	4	2	no	—
142	C₂×C₄×C₆₁	—	4	2	no	—
143	C₂×C₄×C₆₁	—	4	2	no	—
144	C₂×C₄×C₆₁	—	4	2	no	—
145	C₂×C₄×C₆₁	—	4	2	no	—
146	C₂×C₄×C₆₁	—	4	2	no	—
147	C₂×C₄×C₆₁	—	4	2	no	—
148	C₂×C₄×C₆₁	—	4	2	no	—
149	C₂×C₄×C₆₁	#135	1	2	yes	—
150	C₂×C₄×C₆₁	AGL(1,ℤ/8)	1	4	yes	—
151	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
152	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
153	C₂×C₄×C₆₁	H(5,𝔽₂)	1	1	yes	characteristic
154	C₂×C₄×C₆₁	2₋¹⁺⁴	1	1	yes	characteristic
155	C₈×C₆₁	—	4	1	no	—
156	C₈×C₆₁	—	4	1	no	—
157	C₈×C₆₁	—	4	2	no	—
158	#29533	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
159	C₂²×C₆₁	—	4	4	no	—
160	C₂²×C₆₁	—	4	4	no	—
161	C₂²×C₆₁	—	4	4	no	—
162	C₂²×C₆₁	—	8	2	no	—
163	C₂²×C₆₁	—	8	2	no	—
164	C₂²×C₆₁	—	8	2	no	—
165	C₂²×C₆₁	—	8	2	no	—
166	C₂²×C₆₁	#525	1	2	yes	—
167	C₂²×C₆₁	#537	1	1	yes	characteristic
168	C₂²×C₆₁	C₂×#135	1	1	yes	characteristic
169	C₂²×C₆₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
170	C₂²×C₆₁	#575	1	1	yes	characteristic
171	C₄×C₆₁	—	2	4	no	—
172	C₄×C₆₁	—	2	2	no	—
173	C₄×C₆₁	—	4	2	no	—
174	C₄×C₆₁	—	4	4	no	—
175	C₄×C₆₁	—	4	1	no	—
176	C₄×C₆₁	—	8	2	no	—
177	C₄×C₆₁	—	8	2	no	—
178	C₄×C₆₁	#551	1	1	yes	characteristic
179	C₄×C₆₁	#552	1	2	yes	—
180	C₄×C₆₁	#555	1	1	yes	characteristic
181	#2293	C₂×C₆₁	1	2	yes	complemented
182	#2087	C₂×C₆₁	1	1	yes	characteristic, complemented
183	#2065	C₂×C₆₁	1	2	yes	complemented
184	#2054	C₂×C₆₁	1	1	yes	characteristic
185	#1925	C₂×C₆₁	1	2	yes	complemented
186	#1920	C₂×C₆₁	1	2	yes	complemented
187	#1879	C₂×C₆₁	1	2	yes	—
188	#1864	C₂×C₆₁	1	2	yes	complemented
189	#1831	C₂×C₆₁	1	1	yes	characteristic, complemented
190	C₂×C₆₁	—	8	4	no	—
191	C₂×C₆₁	#2609	1	1	yes	characteristic
192	C₂×C₆₁	#3106	1	2	yes	—
193	C₂×C₆₁	#3114	1	2	yes	—
194	C₂×C₆₁	#3250	1	1	yes	characteristic
195	C₂×C₆₁	#3253	1	1	yes	characteristic
196	C₂²×D₈	C₂²×C₆₁	1	1	yes	characteristic
197	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	—
198	C₂×#117	—	2	2	no	—
199	C₂×#107	C₂²×C₆₁	1	1	yes	characteristic
200	C₂×#106	C₂²×C₆₁	1	2	yes	—
201	C₂×C₄⋊C₈	C₂²×C₆₁	1	1	yes	characteristic
202	C₂×C₄⋊C₈	C₂²×C₆₁	1	1	yes	characteristic
203	C₂×#102	C₂²×C₆₁	1	2	yes	—
204	C₂×#102	C₂²×C₆₁	1	2	yes	—
205	C₂×#102	C₂²×C₆₁	1	2	yes	—
206	#390	C₂²×C₆₁	1	2	yes	—
207	#390	C₂²×C₆₁	1	2	yes	—
208	#389	C₂²×C₆₁	1	2	yes	—
209	#389	C₂²×C₆₁	1	2	yes	—
210	#388	—	2	2	no	—
211	#388	—	2	2	no	—
212	C₄×C₄⋊C₄	C₂²×C₆₁	1	2	yes	—
213	C₄×C₂²⋊C₄	—	2	2	no	—
214	C₄³	C₂²×C₆₁	1	1	yes	characteristic
215	#340	C₂²×C₆₁	1	1	yes	characteristic
216	#340	C₂²×C₆₁	1	2	yes	—
217	#340	C₂²×C₆₁	1	1	yes	characteristic
218	#340	C₂²×C₆₁	1	2	yes	—
219	#336	C₂²×C₆₁	1	2	yes	—
220	#336	C₂²×C₆₁	1	2	yes	—
221	C₆₁	#29533	1	1	yes	characteristic, direct product factor, Sylow
222	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
223	C₂³×C₄	—	2	2	no	—
224	C₂×D₈	—	2	4	no	—
225	C₂×D₈	—	4	1	no	—
226	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
227	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
228	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
229	C₄×D₄	—	2	4	no	—
230	C₄×D₄	—	2	4	no	—
231	#117	—	4	8	no	—
232	C₂×C₄⋊C₄	—	2	2	no	—
233	C₂×C₄⋊C₄	—	2	2	no	—
234	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
235	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
236	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
237	C₂×C₂²⋊C₄	—	2	2	no	—
238	C₂×C₂²⋊C₄	—	2	2	no	—
239	C₂×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₂²⋊C₄	—	2	2	no	—
241	C₂×C₂²⋊C₄	—	2	2	no	—
242	C₂×C₄²	—	2	2	no	—
243	C₂×C₄²	D₄×C₆₁	1	2	yes	—
244	C₂×C₄²	D₄×C₆₁	1	1	yes	characteristic
245	C₂×C₄²	D₄×C₆₁	1	1	yes	characteristic
246	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
247	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
248	#107	—	4	1	no	—
249	#106	—	2	4	no	—
250	C₄⋊C₈	—	4	1	no	—
251	C₄⋊C₈	—	4	1	no	—
252	#102	—	2	4	no	—
253	#102	—	2	4	no	—
254	#102	—	4	2	no	—
255	#95	—	2	2	no	—
256	#95	—	2	2	no	—
257	#95	—	2	2	no	—
258	C₂⁴	—	2	2	no	—
259	C₂×D₄	—	2	2	no	—
260	C₂×D₄	—	2	2	no	—
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	2	2	no	—
263	C₂×D₄	—	2	2	no	—
264	C₂×D₄	#41×C₆₁	1	4	yes	—
265	C₂²×C₄	—	2	8	no	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	4	4	no	—
270	C₂²×C₄	—	4	4	no	—
271	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
272	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
273	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
274	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
275	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
276	D₈	—	4	4	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	1	no	—
283	C₂×C₈	—	2	1	no	—
284	C₄⋊C₄	—	2	2	no	—
285	C₄⋊C₄	—	2	2	no	—
286	C₄⋊C₄	—	2	2	no	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	—	2	2	no	—
289	C₄⋊C₄	—	4	4	no	—
290	C₄⋊C₄	—	4	4	no	—
291	C₄⋊C₄	#41×C₆₁	1	4	yes	—
292	C₂²⋊C₄	—	2	8	no	—
293	C₂²⋊C₄	—	4	4	no	—
294	C₂²⋊C₄	—	4	4	no	—
295	C₂²⋊C₄	—	4	4	no	—
296	C₂²⋊C₄	—	4	4	no	—
297	C₄²	—	2	2	no	—
298	C₄²	—	2	4	no	—
299	C₄²	—	2	2	no	—
300	C₄²	—	2	2	no	—
301	C₄²	—	2	1	no	—
302	C₄²	—	2	1	no	—
303	C₄²	—	4	1	no	—
304	C₄²	—	4	4	no	—
305	C₂³	—	2	4	no	—
306	C₂³	—	4	2	no	—
307	C₂³	—	4	2	no	—
308	C₂³	—	4	2	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	2	no	—
311	C₂³	—	4	2	no	—
312	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
313	D₄	—	2	4	no	—
314	D₄	—	2	4	no	—
315	D₄	—	4	2	no	—
316	D₄	—	4	2	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	4	no	—
327	C₂×C₄	—	4	16	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	#135×C₆₁	1	2	yes	—
337	C₂×C₄	AGL(1,ℤ/8)×C₆₁	1	4	yes	—
338	C₂×C₄	C₂×#41×C₆₁	1	2	yes	—
339	C₂×C₄	C₂×#41×C₆₁	1	2	yes	—
340	C₂×C₄	H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
341	C₂×C₄	2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
342	C₈	—	4	1	no	—
343	C₈	—	4	1	no	—
344	C₈	—	4	2	no	—
345	C₂²	—	4	4	no	—
346	C₂²	—	4	4	no	—
347	C₂²	—	4	4	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	2	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	8	2	no	—
352	C₂²	C₆₁×#525	1	2	yes	—
353	C₂²	C₆₁×#537	1	1	yes	characteristic
354	C₂²	C₂×#135×C₆₁	1	1	yes	characteristic
355	C₂²	C₂×AGL(1,ℤ/8)×C₆₁	1	2	yes	—
356	C₂²	C₆₁×#575	1	1	yes	characteristic
357	C₄	—	2	4	no	—
358	C₄	—	2	2	no	—
359	C₄	—	4	2	no	—
360	C₄	—	4	4	no	—
361	C₄	—	4	1	no	—
362	C₄	—	8	2	no	—
363	C₄	—	8	2	no	—
364	C₄	C₆₁×#551	1	1	yes	characteristic
365	C₄	C₆₁×#552	1	2	yes	—
366	C₄	C₆₁×#555	1	1	yes	characteristic
367	C₂	—	8	4	no	—
368	C₂	C₆₁×#2609	1	1	yes	characteristic
369	C₂	C₆₁×#3106	1	2	yes	—
370	C₂	C₆₁×#3114	1	2	yes	—
371	C₂	C₆₁×#3250	1	1	yes	characteristic
372	C₂	C₆₁×#3253	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₁	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₆₁
prime radical	C₂²×D₈×C₆₁	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₆₁ ◁ C₄³×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#2293	C₂	semidirect
2. C₆₁×#2087	C₂	semidirect
3. C₆₁×#2065	C₂	semidirect
5. C₆₁×#1925	C₂	semidirect
6. C₆₁×#1920	C₂	semidirect
8. C₆₁×#1864	C₂	semidirect
9. C₆₁×#1831	C₂	semidirect
158. #29533	C₆₁	direct (N × H)
181. #2293	C₂×C₆₁	semidirect
182. #2087	C₂×C₆₁	semidirect
183. #2065	C₂×C₆₁	semidirect
185. #1925	C₂×C₆₁	semidirect
186. #1920	C₂×C₆₁	semidirect
188. #1864	C₂×C₆₁	semidirect
189. #1831	C₂×C₆₁	semidirect
221. C₆₁	#29533	direct (N × H)

Maximal subgroups

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

subgroup	index
C₆₁×#2293	2
C₆₁×#2087	2
C₆₁×#2065	2
C₆₁×#2054	2
C₆₁×#1925	2
C₆₁×#1920	2
C₆₁×#1879	2
C₆₁×#1864	2
C₆₁×#1831	2
#29533	61

Subgroups — C61×#29533 #29532966

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#29533 #29532966