Subgroups — C₆₁×#60741 #29564174

Order 15616.

2362 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₆₁×#525	C₂	1	2	yes	maximal, complemented
2	C₆₁×#3197	C₂	1	4	yes	maximal, complemented
3	C₆₁×#3196	C₂	1	4	yes	maximal, complemented
4	C₆₁×#3195	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3194	C₂	1	4	yes	maximal, complemented
6	C₆₁×#3193	C₂	1	2	yes	maximal, complemented
7	C₆₁×#3192	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3091	C₂	1	4	yes	maximal, complemented
9	C₆₁×#3054	C₂	1	4	yes	maximal, complemented
10	C₆₁×#3002	C₂	1	4	yes	maximal, complemented
11	C₂×C₆₁×#407	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#41×C₆₁	C₂²	1	2	yes	complemented
13	C₂⁴×C₄×C₆₁	C₂²	1	1	yes	characteristic
14	C₂×#135×C₆₁	C₂²	1	4	yes	complemented
15	C₂²×M₁₆×C₆₁	C₂²	1	2	yes	complemented
16	C₆₁×#525	—	2	2	no	—
17	C₆₁×#525	—	2	2	no	—
18	C₆₁×#525	—	2	2	no	—
19	C₆₁×#525	—	2	2	no	—
20	C₆₁×#525	C₂²	1	4	yes	—
21	C₆₁×#525	C₂²	1	4	yes	—
22	C₆₁×#525	C₂²	1	4	yes	complemented
23	C₆₁×#525	C₂²	1	4	yes	complemented
24	C₂×#123×C₆₁	—	2	2	no	—
25	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	—
26	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
27	C₂×#121×C₆₁	C₂²	1	2	yes	—
28	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
29	C₂×#120×C₆₁	—	2	2	no	—
30	C₂×C₄×D₄×C₆₁	—	2	2	no	—
31	C₂×C₄×D₄×C₆₁	—	2	2	no	—
32	C₂×#117×C₆₁	C₂²	1	2	yes	complemented
33	C₆₁×#485	C₂²	1	8	yes	complemented
34	C₆₁×#484	C₂²	1	4	yes	complemented
35	C₆₁×#483	C₂²	1	4	yes	complemented
36	C₆₁×#482	C₂²	1	8	yes	complemented
37	C₆₁×#481	C₂²	1	4	yes	complemented
38	C₆₁×#480	C₂²	1	4	yes	complemented
39	C₆₁×#470	C₂²	1	4	yes	complemented
40	C₆₁×#470	C₂²	1	4	yes	complemented
41	C₆₁×#469	C₂²	1	4	yes	complemented
42	C₆₁×#469	C₂²	1	4	yes	complemented
43	C₆₁×#468	C₂²	1	8	yes	complemented
44	C₆₁×#468	C₂²	1	8	yes	complemented
45	C₆₁×#452	C₂²	1	8	yes	complemented
46	C₆₁×#451	C₂²	1	4	yes	complemented
47	C₆₁×#450	C₂²	1	4	yes	complemented
48	C₆₁×#449	C₂²	1	8	yes	complemented
49	C₆₁×#448	C₂²	1	4	yes	complemented
50	C₆₁×#447	C₂²	1	4	yes	complemented
51	C₆₁×#427	C₂²	1	4	yes	complemented
52	C₆₁×#416	C₂²	1	8	yes	complemented
53	C₆₁×#407	C₂²	1	1	yes	characteristic
54	C₆₁×#407	C₂²	1	1	yes	characteristic
55	C₆₁×#407	C₂²	1	4	yes	complemented
56	C₆₁×#407	C₂²	1	2	yes	complemented
57	C₂×C₂²⋊C₈×C₆₁	C₂²	1	4	yes	complemented
58	C₂⁵×C₆₁	D₄	1	1	yes	characteristic
59	C₂×#41×C₆₁	—	2	2	no	—
60	C₂×#41×C₆₁	—	2	2	no	—
61	C₂×#41×C₆₁	—	4	8	no	—
62	C₂×#41×C₆₁	C₂³	1	4	yes	—
63	C₂×#41×C₆₁	C₂³	1	4	yes	—
64	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
65	C₂²×D₄×C₆₁	—	2	2	no	—
66	C₂²×D₄×C₆₁	—	2	2	no	—
67	C₂²×D₄×C₆₁	—	2	2	no	—
68	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
69	C₂³×C₄×C₆₁	—	2	2	no	—
70	C₂³×C₄×C₆₁	—	4	4	no	—
71	C₂³×C₄×C₆₁	D₄	1	1	yes	characteristic
72	C₂³×C₄×C₆₁	D₄	1	2	yes	—
73	C₂³×C₄×C₆₁	D₄	1	2	yes	—
74	C₂³×C₄×C₆₁	D₄	1	1	yes	characteristic
75	C₂³×C₄×C₆₁	D₄	1	1	yes	characteristic
76	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
77	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
78	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
79	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
80	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
81	#135×C₆₁	—	4	8	no	—
82	C₂×Q₁₆×C₆₁	C₂³	1	4	yes	complemented
83	C₂×SD₁₆×C₆₁	C₂³	1	8	yes	complemented
84	C₂×D₈×C₆₁	C₂³	1	4	yes	complemented
85	C₂×M₁₆×C₆₁	—	4	4	no	—
86	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
87	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
88	C₂×M₁₆×C₆₁	C₂³	1	4	yes	—
89	C₂²×C₈×C₆₁	C₂³	1	4	yes	—
90	#123×C₆₁	—	2	4	no	—
91	#123×C₆₁	—	2	4	no	—
92	#123×C₆₁	—	2	4	no	—
93	#123×C₆₁	—	2	4	no	—
94	C₂²⋊Q₈×C₆₁	—	2	2	no	—
95	C₂²⋊Q₈×C₆₁	—	2	2	no	—
96	C₂²⋊Q₈×C₆₁	—	2	2	no	—
97	C₂²⋊Q₈×C₆₁	—	2	2	no	—
98	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
99	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
100	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
101	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
102	#121×C₆₁	—	2	2	no	—
103	#121×C₆₁	—	2	2	no	—
104	#121×C₆₁	—	2	2	no	—
105	#121×C₆₁	—	2	2	no	—
106	#121×C₆₁	C₂³	1	4	yes	—
107	#121×C₆₁	C₂³	1	4	yes	—
108	#121×C₆₁	C₂³	1	4	yes	—
109	#121×C₆₁	C₂³	1	4	yes	—
110	#120×C₆₁	—	2	4	no	—
111	#120×C₆₁	—	2	4	no	—
112	#120×C₆₁	—	2	4	no	—
113	#120×C₆₁	—	2	4	no	—
114	C₄×D₄×C₆₁	—	2	4	no	—
115	C₄×D₄×C₆₁	—	2	4	no	—
116	C₄×D₄×C₆₁	—	2	4	no	—
117	C₄×D₄×C₆₁	—	2	4	no	—
118	C₄×D₄×C₆₁	—	2	4	no	—
119	C₄×D₄×C₆₁	—	2	4	no	—
120	C₄×D₄×C₆₁	—	2	4	no	—
121	C₄×D₄×C₆₁	—	2	4	no	—
122	#117×C₆₁	—	2	2	no	—
123	#117×C₆₁	—	2	2	no	—
124	#117×C₆₁	C₂³	1	4	yes	—
125	#117×C₆₁	C₂³	1	4	yes	—
126	C₂×C₄⋊C₄×C₆₁	—	2	2	no	—
127	C₂×C₄⋊C₄×C₆₁	—	2	2	no	—
128	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
129	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
130	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
131	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
132	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
133	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
134	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
135	C₂×C₄²×C₆₁	—	2	2	no	—
136	#107×C₆₁	C₂³	1	8	yes	complemented
137	#106×C₆₁	C₂³	1	4	yes	complemented
138	#106×C₆₁	C₂³	1	4	yes	complemented
139	#103×C₆₁	C₂³	1	8	yes	complemented
140	#103×C₆₁	C₂³	1	8	yes	complemented
141	#102×C₆₁	C₂³	1	8	yes	complemented
142	#102×C₆₁	C₂³	1	8	yes	complemented
143	C₂²⋊C₈×C₆₁	C₂³	1	4	yes	—
144	C₂²⋊C₈×C₆₁	C₂³	1	4	yes	—
145	C₂²⋊C₈×C₆₁	C₂³	1	8	yes	—
146	C₂⁴×C₆₁	—	2	2	no	—
147	C₂⁴×C₆₁	—	4	2	no	—
148	C₂⁴×C₆₁	—	4	4	no	—
149	C₂⁴×C₆₁	C₂×D₄	1	1	yes	characteristic
150	C₂⁴×C₆₁	C₂×D₄	1	2	yes	—
151	C₂⁴×C₆₁	C₂×D₄	1	2	yes	—
152	C₂⁴×C₆₁	C₂×D₄	1	1	yes	characteristic
153	C₂⁴×C₆₁	C₂×D₄	1	1	yes	characteristic
154	#41×C₆₁	—	2	16	no	—
155	#41×C₆₁	—	4	8	no	—
156	#41×C₆₁	—	4	8	no	—
157	#41×C₆₁	—	4	8	no	—
158	C₂×Q₈×C₆₁	—	2	2	no	—
159	C₂×Q₈×C₆₁	—	4	4	no	—
160	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
161	C₂×D₄×C₆₁	—	2	4	no	—
162	C₂×D₄×C₆₁	—	2	4	no	—
163	C₂×D₄×C₆₁	—	2	4	no	—
164	C₂×D₄×C₆₁	—	2	4	no	—
165	C₂×D₄×C₆₁	—	2	4	no	—
166	C₂×D₄×C₆₁	—	2	4	no	—
167	C₂×D₄×C₆₁	—	2	2	no	—
168	C₂×D₄×C₆₁	—	4	4	no	—
169	C₂×D₄×C₆₁	—	4	8	no	—
170	C₂×D₄×C₆₁	—	4	8	no	—
171	C₂×D₄×C₆₁	—	4	8	no	—
172	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
173	C₂²×C₄×C₆₁	—	2	4	no	—
174	C₂²×C₄×C₆₁	—	2	8	no	—
175	C₂²×C₄×C₆₁	—	2	2	no	—
176	C₂²×C₄×C₆₁	—	2	2	no	—
177	C₂²×C₄×C₆₁	—	2	2	no	—
178	C₂²×C₄×C₆₁	—	2	4	no	—
179	C₂²×C₄×C₆₁	—	2	4	no	—
180	C₂²×C₄×C₆₁	—	4	2	no	—
181	C₂²×C₄×C₆₁	—	4	4	no	—
182	C₂²×C₄×C₆₁	—	4	2	no	—
183	C₂²×C₄×C₆₁	—	4	2	no	—
184	C₂²×C₄×C₆₁	—	4	4	no	—
185	C₂²×C₄×C₆₁	—	4	2	no	—
186	C₂²×C₄×C₆₁	—	4	4	no	—
187	C₂²×C₄×C₆₁	—	4	2	no	—
188	C₂²×C₄×C₆₁	—	4	8	no	—
189	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
190	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
191	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
192	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
193	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
194	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
195	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
196	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
197	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
198	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
199	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
200	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
201	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
202	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
203	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
204	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
205	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
206	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
207	Q₁₆×C₆₁	—	4	4	no	—
208	SD₁₆×C₆₁	—	4	8	no	—
209	D₈×C₆₁	—	4	4	no	—
210	M₁₆×C₆₁	—	4	2	no	—
211	M₁₆×C₆₁	—	4	4	no	—
212	M₁₆×C₆₁	—	4	2	no	—
213	C₂×C₈×C₆₁	—	2	8	no	—
214	C₂×C₈×C₆₁	C₂⁴	1	4	yes	—
215	C₂×C₈×C₆₁	C₂⁴	1	4	yes	—
216	C₄⋊C₄×C₆₁	—	2	4	no	—
217	C₄⋊C₄×C₆₁	—	2	4	no	—
218	C₄⋊C₄×C₆₁	—	2	4	no	—
219	C₄⋊C₄×C₆₁	—	2	4	no	—
220	C₄⋊C₄×C₆₁	—	2	2	no	—
221	C₄⋊C₄×C₆₁	—	2	2	no	—
222	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
223	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
224	C₂²⋊C₄×C₆₁	—	2	4	no	—
225	C₂²⋊C₄×C₆₁	—	2	4	no	—
226	C₂²⋊C₄×C₆₁	—	2	4	no	—
227	C₂²⋊C₄×C₆₁	—	2	4	no	—
228	C₂²⋊C₄×C₆₁	—	2	4	no	—
229	C₂²⋊C₄×C₆₁	—	2	4	no	—
230	C₂²⋊C₄×C₆₁	—	2	4	no	—
231	C₂²⋊C₄×C₆₁	—	2	4	no	—
232	C₂²⋊C₄×C₆₁	—	2	4	no	—
233	C₂²⋊C₄×C₆₁	—	2	4	no	—
234	C₄²×C₆₁	—	2	4	no	—
235	C₄²×C₆₁	—	2	4	no	—
236	C₂³×C₆₁	—	2	4	no	—
237	C₂³×C₆₁	—	2	2	no	—
238	C₂³×C₆₁	—	2	4	no	—
239	C₂³×C₆₁	—	2	4	no	—
240	C₂³×C₆₁	—	2	4	no	—
241	C₂³×C₆₁	—	2	4	no	—
242	C₂³×C₆₁	—	4	1	no	—
243	C₂³×C₆₁	—	4	2	no	—
244	C₂³×C₆₁	—	4	1	no	—
245	C₂³×C₆₁	—	4	2	no	—
246	C₂³×C₆₁	—	4	2	no	—
247	C₂³×C₆₁	—	4	2	no	—
248	C₂³×C₆₁	—	4	2	no	—
249	C₂³×C₆₁	—	4	4	no	—
250	C₂³×C₆₁	—	4	4	no	—
251	C₂³×C₆₁	—	4	16	no	—
252	C₂³×C₆₁	—	4	4	no	—
253	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
254	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
255	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
256	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
257	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
258	Q₈×C₆₁	—	2	8	no	—
259	Q₈×C₆₁	—	4	4	no	—
260	D₄×C₆₁	—	2	8	no	—
261	D₄×C₆₁	—	4	4	no	—
262	D₄×C₆₁	—	4	8	no	—
263	D₄×C₆₁	—	4	8	no	—
264	D₄×C₆₁	—	4	8	no	—
265	D₄×C₆₁	—	4	8	no	—
266	D₄×C₆₁	—	4	8	no	—
267	D₄×C₆₁	—	4	8	no	—
268	C₂×C₄×C₆₁	—	2	2	no	—
269	C₂×C₄×C₆₁	—	2	4	no	—
270	C₂×C₄×C₆₁	—	2	4	no	—
271	C₂×C₄×C₆₁	—	2	2	no	—
272	C₂×C₄×C₆₁	—	2	2	no	—
273	C₂×C₄×C₆₁	—	2	4	no	—
274	C₂×C₄×C₆₁	—	2	2	no	—
275	C₂×C₄×C₆₁	—	2	2	no	—
276	C₂×C₄×C₆₁	—	2	4	no	—
277	C₂×C₄×C₆₁	—	2	4	no	—
278	C₂×C₄×C₆₁	—	2	4	no	—
279	C₂×C₄×C₆₁	—	2	4	no	—
280	C₂×C₄×C₆₁	—	2	4	no	—
281	C₂×C₄×C₆₁	—	4	1	no	—
282	C₂×C₄×C₆₁	—	4	2	no	—
283	C₂×C₄×C₆₁	—	4	2	no	—
284	C₂×C₄×C₆₁	—	4	2	no	—
285	C₂×C₄×C₆₁	—	4	2	no	—
286	C₂×C₄×C₆₁	—	4	2	no	—
287	C₂×C₄×C₆₁	—	4	1	no	—
288	C₂×C₄×C₆₁	—	4	8	no	—
289	C₂×C₄×C₆₁	—	4	4	no	—
290	C₂×C₄×C₆₁	—	4	4	no	—
291	C₂×C₄×C₆₁	—	4	4	no	—
292	C₂×C₄×C₆₁	—	4	8	no	—
293	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
294	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
295	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
296	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
297	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
298	C₂×C₄×C₆₁	H(5,𝔽₂)	1	4	yes	—
299	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
300	C₈×C₆₁	—	2	4	no	—
301	C₈×C₆₁	—	2	4	no	—
302	#60741	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
303	C₂²×C₆₁	—	2	2	no	—
304	C₂²×C₆₁	—	2	2	no	—
305	C₂²×C₆₁	—	2	2	no	—
306	C₂²×C₆₁	—	2	2	no	—
307	C₂²×C₆₁	—	2	1	no	—
308	C₂²×C₆₁	—	2	1	no	—
309	C₂²×C₆₁	—	2	2	no	—
310	C₂²×C₆₁	—	2	2	no	—
311	C₂²×C₆₁	—	2	2	no	—
312	C₂²×C₆₁	—	2	2	no	—
313	C₂²×C₆₁	—	4	4	no	—
314	C₂²×C₆₁	—	4	8	no	—
315	C₂²×C₆₁	—	4	8	no	—
316	C₂²×C₆₁	—	4	4	no	—
317	C₂²×C₆₁	—	4	4	no	—
318	C₂²×C₆₁	—	4	4	no	—
319	C₂²×C₆₁	—	4	4	no	—
320	C₂²×C₆₁	—	4	4	no	—
321	C₂²×C₆₁	—	8	8	no	—
322	C₂²×C₆₁	#534	1	2	yes	—
323	C₂²×C₆₁	#575	1	4	yes	—
324	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
325	C₄×C₆₁	—	2	2	no	—
326	C₄×C₆₁	—	2	1	no	—
327	C₄×C₆₁	—	2	1	no	—
328	C₄×C₆₁	—	2	2	no	—
329	C₄×C₆₁	—	4	4	no	—
330	C₄×C₆₁	—	4	4	no	—
331	C₄×C₆₁	—	4	4	no	—
332	C₄×C₆₁	#534	1	2	yes	—
333	C₄×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
334	C₂×#525	C₂×C₆₁	1	2	yes	complemented
335	#3197	C₂×C₆₁	1	4	yes	complemented
336	#3196	C₂×C₆₁	1	4	yes	complemented
337	#3195	C₂×C₆₁	1	1	yes	characteristic, complemented
338	#3194	C₂×C₆₁	1	4	yes	complemented
339	#3193	C₂×C₆₁	1	2	yes	complemented
340	#3192	C₂×C₆₁	1	1	yes	characteristic, complemented
341	#3091	C₂×C₆₁	1	4	yes	complemented
342	#3054	C₂×C₆₁	1	4	yes	complemented
343	#3002	C₂×C₆₁	1	4	yes	complemented
344	C₂×#407	C₂×C₆₁	1	1	yes	characteristic, complemented
345	C₂×C₆₁	—	2	4	no	—
346	C₂×C₆₁	—	2	2	no	—
347	C₂×C₆₁	—	4	2	no	—
348	C₂×C₆₁	—	4	1	no	—
349	C₂×C₆₁	—	4	1	no	—
350	C₂×C₆₁	—	8	4	no	—
351	C₂×C₆₁	C₂×#534	1	1	yes	characteristic
352	C₂×C₆₁	C₂×#575	1	2	yes	—
353	C₂²×#41	C₂²×C₆₁	1	2	yes	complemented
354	C₂⁴×C₄	C₂²×C₆₁	1	1	yes	characteristic
355	C₂×#135	C₂²×C₆₁	1	4	yes	complemented
356	C₂²×M₁₆	C₂²×C₆₁	1	2	yes	complemented
357	#525	—	2	2	no	—
358	#525	—	2	2	no	—
359	#525	—	2	2	no	—
360	#525	—	2	2	no	—
361	#525	C₂²×C₆₁	1	4	yes	—
362	#525	C₂²×C₆₁	1	4	yes	—
363	#525	C₂²×C₆₁	1	4	yes	complemented
364	#525	C₂²×C₆₁	1	4	yes	complemented
365	C₂×#123	—	2	2	no	—
366	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	—
367	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
368	C₂×#121	C₂²×C₆₁	1	2	yes	—
369	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
370	C₂×#120	—	2	2	no	—
371	C₂×C₄×D₄	—	2	2	no	—
372	C₂×C₄×D₄	—	2	2	no	—
373	C₂×#117	C₂²×C₆₁	1	2	yes	complemented
374	#485	C₂²×C₆₁	1	8	yes	complemented
375	#484	C₂²×C₆₁	1	4	yes	complemented
376	#483	C₂²×C₆₁	1	4	yes	complemented
377	#482	C₂²×C₆₁	1	8	yes	complemented
378	#481	C₂²×C₆₁	1	4	yes	complemented
379	#480	C₂²×C₆₁	1	4	yes	complemented
380	#470	C₂²×C₆₁	1	4	yes	complemented
381	#470	C₂²×C₆₁	1	4	yes	complemented
382	#469	C₂²×C₆₁	1	4	yes	complemented
383	#469	C₂²×C₆₁	1	4	yes	complemented
384	#468	C₂²×C₆₁	1	8	yes	complemented
385	#468	C₂²×C₆₁	1	8	yes	complemented
386	#452	C₂²×C₆₁	1	8	yes	complemented
387	#451	C₂²×C₆₁	1	4	yes	complemented
388	#450	C₂²×C₆₁	1	4	yes	complemented
389	#449	C₂²×C₆₁	1	8	yes	complemented
390	#448	C₂²×C₆₁	1	4	yes	complemented
391	#447	C₂²×C₆₁	1	4	yes	complemented
392	#427	C₂²×C₆₁	1	4	yes	complemented
393	#416	C₂²×C₆₁	1	8	yes	complemented
394	#407	C₂²×C₆₁	1	1	yes	characteristic
395	#407	C₂²×C₆₁	1	1	yes	characteristic
396	#407	C₂²×C₆₁	1	4	yes	complemented
397	#407	C₂²×C₆₁	1	2	yes	complemented
398	C₂×C₂²⋊C₈	C₂²×C₆₁	1	4	yes	complemented
399	C₆₁	#60741	1	1	yes	characteristic, direct product factor, Sylow
400	C₂⁵	D₄×C₆₁	1	1	yes	characteristic
401	C₂×#41	—	2	2	no	—
402	C₂×#41	—	2	2	no	—
403	C₂×#41	—	4	8	no	—
404	C₂×#41	C₂³×C₆₁	1	4	yes	—
405	C₂×#41	C₂³×C₆₁	1	4	yes	—
406	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
407	C₂²×D₄	—	2	2	no	—
408	C₂²×D₄	—	2	2	no	—
409	C₂²×D₄	—	2	2	no	—
410	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
411	C₂³×C₄	—	2	2	no	—
412	C₂³×C₄	—	4	4	no	—
413	C₂³×C₄	D₄×C₆₁	1	1	yes	characteristic
414	C₂³×C₄	D₄×C₆₁	1	2	yes	—
415	C₂³×C₄	D₄×C₆₁	1	2	yes	—
416	C₂³×C₄	D₄×C₆₁	1	1	yes	characteristic
417	C₂³×C₄	D₄×C₆₁	1	1	yes	characteristic
418	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
419	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
420	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
421	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
422	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
423	#135	—	4	8	no	—
424	C₂×Q₁₆	C₂³×C₆₁	1	4	yes	complemented
425	C₂×SD₁₆	C₂³×C₆₁	1	8	yes	complemented
426	C₂×D₈	C₂³×C₆₁	1	4	yes	complemented
427	C₂×M₁₆	—	4	4	no	—
428	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
429	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
430	C₂×M₁₆	C₂³×C₆₁	1	4	yes	—
431	C₂²×C₈	C₂³×C₆₁	1	4	yes	—
432	#123	—	2	4	no	—
433	#123	—	2	4	no	—
434	#123	—	2	4	no	—
435	#123	—	2	4	no	—
436	C₂²⋊Q₈	—	2	2	no	—
437	C₂²⋊Q₈	—	2	2	no	—
438	C₂²⋊Q₈	—	2	2	no	—
439	C₂²⋊Q₈	—	2	2	no	—
440	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
441	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
442	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
443	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
444	#121	—	2	2	no	—
445	#121	—	2	2	no	—
446	#121	—	2	2	no	—
447	#121	—	2	2	no	—
448	#121	C₂³×C₆₁	1	4	yes	—
449	#121	C₂³×C₆₁	1	4	yes	—
450	#121	C₂³×C₆₁	1	4	yes	—
451	#121	C₂³×C₆₁	1	4	yes	—
452	#120	—	2	4	no	—
453	#120	—	2	4	no	—
454	#120	—	2	4	no	—
455	#120	—	2	4	no	—
456	C₄×D₄	—	2	4	no	—
457	C₄×D₄	—	2	4	no	—
458	C₄×D₄	—	2	4	no	—
459	C₄×D₄	—	2	4	no	—
460	C₄×D₄	—	2	4	no	—
461	C₄×D₄	—	2	4	no	—
462	C₄×D₄	—	2	4	no	—
463	C₄×D₄	—	2	4	no	—
464	#117	—	2	2	no	—
465	#117	—	2	2	no	—
466	#117	C₂³×C₆₁	1	4	yes	—
467	#117	C₂³×C₆₁	1	4	yes	—
468	C₂×C₄⋊C₄	—	2	2	no	—
469	C₂×C₄⋊C₄	—	2	2	no	—
470	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
471	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
472	C₂×C₂²⋊C₄	—	2	2	no	—
473	C₂×C₂²⋊C₄	—	2	2	no	—
474	C₂×C₂²⋊C₄	—	2	2	no	—
475	C₂×C₂²⋊C₄	—	2	2	no	—
476	C₂×C₂²⋊C₄	—	2	2	no	—
477	C₂×C₄²	—	2	2	no	—
478	#107	C₂³×C₆₁	1	8	yes	complemented
479	#106	C₂³×C₆₁	1	4	yes	complemented
480	#106	C₂³×C₆₁	1	4	yes	complemented
481	#103	C₂³×C₆₁	1	8	yes	complemented
482	#103	C₂³×C₆₁	1	8	yes	complemented
483	#102	C₂³×C₆₁	1	8	yes	complemented
484	#102	C₂³×C₆₁	1	8	yes	complemented
485	C₂²⋊C₈	C₂³×C₆₁	1	4	yes	—
486	C₂²⋊C₈	C₂³×C₆₁	1	4	yes	—
487	C₂²⋊C₈	C₂³×C₆₁	1	8	yes	—
488	C₂⁴	—	2	2	no	—
489	C₂⁴	—	4	2	no	—
490	C₂⁴	—	4	4	no	—
491	C₂⁴	C₂×D₄×C₆₁	1	1	yes	characteristic
492	C₂⁴	C₂×D₄×C₆₁	1	2	yes	—
493	C₂⁴	C₂×D₄×C₆₁	1	2	yes	—
494	C₂⁴	C₂×D₄×C₆₁	1	1	yes	characteristic
495	C₂⁴	C₂×D₄×C₆₁	1	1	yes	characteristic
496	#41	—	2	16	no	—
497	#41	—	4	8	no	—
498	#41	—	4	8	no	—
499	#41	—	4	8	no	—
500	C₂×Q₈	—	2	2	no	—
501	C₂×Q₈	—	4	4	no	—
502	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
503	C₂×D₄	—	2	4	no	—
504	C₂×D₄	—	2	4	no	—
505	C₂×D₄	—	2	4	no	—
506	C₂×D₄	—	2	4	no	—
507	C₂×D₄	—	2	4	no	—
508	C₂×D₄	—	2	4	no	—
509	C₂×D₄	—	2	2	no	—
510	C₂×D₄	—	4	4	no	—
511	C₂×D₄	—	4	8	no	—
512	C₂×D₄	—	4	8	no	—
513	C₂×D₄	—	4	8	no	—
514	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
515	C₂²×C₄	—	2	4	no	—
516	C₂²×C₄	—	2	8	no	—
517	C₂²×C₄	—	2	2	no	—
518	C₂²×C₄	—	2	2	no	—
519	C₂²×C₄	—	2	2	no	—
520	C₂²×C₄	—	2	4	no	—
521	C₂²×C₄	—	2	4	no	—
522	C₂²×C₄	—	4	2	no	—
523	C₂²×C₄	—	4	4	no	—
524	C₂²×C₄	—	4	2	no	—
525	C₂²×C₄	—	4	2	no	—
526	C₂²×C₄	—	4	4	no	—
527	C₂²×C₄	—	4	2	no	—
528	C₂²×C₄	—	4	4	no	—
529	C₂²×C₄	—	4	2	no	—
530	C₂²×C₄	—	4	8	no	—
531	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
532	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
533	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
534	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
535	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
536	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
537	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
538	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
539	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
540	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
541	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
542	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
543	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
544	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
545	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
546	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
547	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
548	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
549	Q₁₆	—	4	4	no	—
550	SD₁₆	—	4	8	no	—
551	D₈	—	4	4	no	—
552	M₁₆	—	4	2	no	—
553	M₁₆	—	4	4	no	—
554	M₁₆	—	4	2	no	—
555	C₂×C₈	—	2	8	no	—
556	C₂×C₈	C₂⁴×C₆₁	1	4	yes	—
557	C₂×C₈	C₂⁴×C₆₁	1	4	yes	—
558	C₄⋊C₄	—	2	4	no	—
559	C₄⋊C₄	—	2	4	no	—
560	C₄⋊C₄	—	2	4	no	—
561	C₄⋊C₄	—	2	4	no	—
562	C₄⋊C₄	—	2	2	no	—
563	C₄⋊C₄	—	2	2	no	—
564	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
565	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
566	C₂²⋊C₄	—	2	4	no	—
567	C₂²⋊C₄	—	2	4	no	—
568	C₂²⋊C₄	—	2	4	no	—
569	C₂²⋊C₄	—	2	4	no	—
570	C₂²⋊C₄	—	2	4	no	—
571	C₂²⋊C₄	—	2	4	no	—
572	C₂²⋊C₄	—	2	4	no	—
573	C₂²⋊C₄	—	2	4	no	—
574	C₂²⋊C₄	—	2	4	no	—
575	C₂²⋊C₄	—	2	4	no	—
576	C₄²	—	2	4	no	—
577	C₄²	—	2	4	no	—
578	C₂³	—	2	4	no	—
579	C₂³	—	2	2	no	—
580	C₂³	—	2	4	no	—
581	C₂³	—	2	4	no	—
582	C₂³	—	2	4	no	—
583	C₂³	—	2	4	no	—
584	C₂³	—	4	1	no	—
585	C₂³	—	4	2	no	—
586	C₂³	—	4	1	no	—
587	C₂³	—	4	2	no	—
588	C₂³	—	4	2	no	—
589	C₂³	—	4	2	no	—
590	C₂³	—	4	2	no	—
591	C₂³	—	4	4	no	—
592	C₂³	—	4	4	no	—
593	C₂³	—	4	16	no	—
594	C₂³	—	4	4	no	—
595	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
596	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
597	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
598	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
599	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
600	Q₈	—	2	8	no	—
601	Q₈	—	4	4	no	—
602	D₄	—	2	8	no	—
603	D₄	—	4	4	no	—
604	D₄	—	4	8	no	—
605	D₄	—	4	8	no	—
606	D₄	—	4	8	no	—
607	D₄	—	4	8	no	—
608	D₄	—	4	8	no	—
609	D₄	—	4	8	no	—
610	C₂×C₄	—	2	2	no	—
611	C₂×C₄	—	2	4	no	—
612	C₂×C₄	—	2	4	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	2	no	—
618	C₂×C₄	—	2	4	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	4	no	—
622	C₂×C₄	—	2	4	no	—
623	C₂×C₄	—	4	1	no	—
624	C₂×C₄	—	4	2	no	—
625	C₂×C₄	—	4	2	no	—
626	C₂×C₄	—	4	2	no	—
627	C₂×C₄	—	4	2	no	—
628	C₂×C₄	—	4	2	no	—
629	C₂×C₄	—	4	1	no	—
630	C₂×C₄	—	4	8	no	—
631	C₂×C₄	—	4	4	no	—
632	C₂×C₄	—	4	4	no	—
633	C₂×C₄	—	4	4	no	—
634	C₂×C₄	—	4	8	no	—
635	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
636	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
637	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
638	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
639	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
640	C₂×C₄	H(5,𝔽₂)×C₆₁	1	4	yes	—
641	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
642	C₈	—	2	4	no	—
643	C₈	—	2	4	no	—
644	C₂²	—	2	2	no	—
645	C₂²	—	2	2	no	—
646	C₂²	—	2	2	no	—
647	C₂²	—	2	2	no	—
648	C₂²	—	2	2	no	—
649	C₂²	—	2	2	no	—
650	C₂²	—	2	2	no	—
651	C₂²	—	2	2	no	—
652	C₂²	—	2	1	no	—
653	C₂²	—	2	1	no	—
654	C₂²	—	4	4	no	—
655	C₂²	—	4	8	no	—
656	C₂²	—	4	8	no	—
657	C₂²	—	4	4	no	—
658	C₂²	—	4	4	no	—
659	C₂²	—	4	4	no	—
660	C₂²	—	4	4	no	—
661	C₂²	—	4	4	no	—
662	C₂²	—	8	8	no	—
663	C₂²	C₆₁×#534	1	2	yes	—
664	C₂²	C₆₁×#575	1	4	yes	—
665	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
666	C₄	—	2	2	no	—
667	C₄	—	2	1	no	—
668	C₄	—	2	1	no	—
669	C₄	—	2	2	no	—
670	C₄	—	4	4	no	—
671	C₄	—	4	4	no	—
672	C₄	—	4	4	no	—
673	C₄	C₆₁×#534	1	2	yes	—
674	C₄	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
675	C₂	—	2	4	no	—
676	C₂	—	2	2	no	—
677	C₂	—	4	1	no	—
678	C₂	—	4	1	no	—
679	C₂	—	4	2	no	—
680	C₂	—	8	4	no	—
681	C₂	C₂×C₆₁×#534	1	1	yes	characteristic
682	C₂	C₂×C₆₁×#575	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₆₁	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
socle	C₂²×C₆₁	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₆₁ ◁ C₂⁴×C₄×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₆₁×#525	C₂	semidirect
2. C₆₁×#3197	C₂	semidirect
3. C₆₁×#3196	C₂	semidirect
4. C₆₁×#3195	C₂	semidirect
5. C₆₁×#3194	C₂	semidirect
6. C₆₁×#3193	C₂	semidirect
7. C₆₁×#3192	C₂	semidirect
8. C₆₁×#3091	C₂	semidirect
9. C₆₁×#3054	C₂	semidirect
10. C₆₁×#3002	C₂	semidirect
11. C₂×C₆₁×#407	C₂	semidirect
12. C₂²×#41×C₆₁	C₂²	semidirect
14. C₂×#135×C₆₁	C₂²	semidirect
15. C₂²×M₁₆×C₆₁	C₂²	semidirect
22. C₆₁×#525	C₂²	semidirect
23. C₆₁×#525	C₂²	semidirect
26. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
28. C₂×#121×C₆₁	C₂²	semidirect
32. C₂×#117×C₆₁	C₂²	semidirect
33. C₆₁×#485	C₂²	semidirect
34. C₆₁×#484	C₂²	semidirect
35. C₆₁×#483	C₂²	semidirect
36. C₆₁×#482	C₂²	semidirect
37. C₆₁×#481	C₂²	semidirect
38. C₆₁×#480	C₂²	semidirect
39. C₆₁×#470	C₂²	semidirect
40. C₆₁×#470	C₂²	semidirect
41. C₆₁×#469	C₂²	semidirect
42. C₆₁×#469	C₂²	semidirect
43. C₆₁×#468	C₂²	semidirect
44. C₆₁×#468	C₂²	semidirect
45. C₆₁×#452	C₂²	semidirect
46. C₆₁×#451	C₂²	semidirect
47. C₆₁×#450	C₂²	semidirect
48. C₆₁×#449	C₂²	semidirect
49. C₆₁×#448	C₂²	semidirect
50. C₆₁×#447	C₂²	semidirect
51. C₆₁×#427	C₂²	semidirect
52. C₆₁×#416	C₂²	semidirect
55. C₆₁×#407	C₂²	semidirect
56. C₆₁×#407	C₂²	semidirect
57. C₂×C₂²⋊C₈×C₆₁	C₂²	semidirect
82. C₂×Q₁₆×C₆₁	C₂³	semidirect
83. C₂×SD₁₆×C₆₁	C₂³	semidirect
84. C₂×D₈×C₆₁	C₂³	semidirect
136. #107×C₆₁	C₂³	semidirect
137. #106×C₆₁	C₂³	semidirect
138. #106×C₆₁	C₂³	semidirect
139. #103×C₆₁	C₂³	semidirect
140. #103×C₆₁	C₂³	semidirect
141. #102×C₆₁	C₂³	semidirect
142. #102×C₆₁	C₂³	semidirect
302. #60741	C₆₁	direct (N × H)
334. C₂×#525	C₂×C₆₁	semidirect
335. #3197	C₂×C₆₁	semidirect
336. #3196	C₂×C₆₁	semidirect
337. #3195	C₂×C₆₁	semidirect
338. #3194	C₂×C₆₁	semidirect
339. #3193	C₂×C₆₁	semidirect
340. #3192	C₂×C₆₁	semidirect
341. #3091	C₂×C₆₁	semidirect
342. #3054	C₂×C₆₁	semidirect
343. #3002	C₂×C₆₁	semidirect
344. C₂×#407	C₂×C₆₁	semidirect
353. C₂²×#41	C₂²×C₆₁	semidirect
355. C₂×#135	C₂²×C₆₁	semidirect
356. C₂²×M₁₆	C₂²×C₆₁	semidirect
363. #525	C₂²×C₆₁	semidirect
364. #525	C₂²×C₆₁	semidirect
367. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
369. C₂×#121	C₂²×C₆₁	semidirect
373. C₂×#117	C₂²×C₆₁	semidirect
374. #485	C₂²×C₆₁	semidirect
375. #484	C₂²×C₆₁	semidirect
376. #483	C₂²×C₆₁	semidirect
377. #482	C₂²×C₆₁	semidirect
378. #481	C₂²×C₆₁	semidirect
379. #480	C₂²×C₆₁	semidirect
380. #470	C₂²×C₆₁	semidirect
381. #470	C₂²×C₆₁	semidirect
382. #469	C₂²×C₆₁	semidirect
383. #469	C₂²×C₆₁	semidirect
384. #468	C₂²×C₆₁	semidirect
385. #468	C₂²×C₆₁	semidirect
386. #452	C₂²×C₆₁	semidirect
387. #451	C₂²×C₆₁	semidirect
388. #450	C₂²×C₆₁	semidirect
389. #449	C₂²×C₆₁	semidirect
390. #448	C₂²×C₆₁	semidirect
391. #447	C₂²×C₆₁	semidirect
392. #427	C₂²×C₆₁	semidirect
393. #416	C₂²×C₆₁	semidirect
396. #407	C₂²×C₆₁	semidirect
397. #407	C₂²×C₆₁	semidirect
398. C₂×C₂²⋊C₈	C₂²×C₆₁	semidirect
399. C₆₁	#60741	direct (N × H)
424. C₂×Q₁₆	C₂³×C₆₁	semidirect
425. C₂×SD₁₆	C₂³×C₆₁	semidirect
426. C₂×D₈	C₂³×C₆₁	semidirect
478. #107	C₂³×C₆₁	semidirect
479. #106	C₂³×C₆₁	semidirect
480. #106	C₂³×C₆₁	semidirect
481. #103	C₂³×C₆₁	semidirect
482. #103	C₂³×C₆₁	semidirect
483. #102	C₂³×C₆₁	semidirect
484. #102	C₂³×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×#525	2
C₆₁×#3197	2
C₆₁×#3196	2
C₆₁×#3195	2
C₆₁×#3194	2
C₆₁×#3193	2
C₆₁×#3192	2
C₆₁×#3091	2
C₆₁×#3054	2
C₆₁×#3002	2
C₂×C₆₁×#407	2
#60741	61

Subgroups — C61×#60741 #29564174

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#60741 #29564174