Subgroups — C₆₁×#61444 #29564877

Order 15616.

1978 conjugacy classes of subgroups.

The subgroup lattice has 994 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3481	C₂	1	2	yes	maximal, complemented
2	C₆₁×#3403	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3389	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3370	C₂	1	2	yes	maximal, complemented
5	C₆₁×#3355	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3346	C₂	1	2	yes	maximal, complemented
7	C₆₁×#3322	C₂	1	2	yes	maximal, complemented
8	C₆₁×#3318	C₂	1	2	yes	maximal, complemented
9	C₆₁×#3314	C₂	1	2	yes	maximal, complemented
10	C₆₁×#3273	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3264	C₂	1	2	yes	maximal, complemented
12	C₆₁×#3171	C₂	1	2	yes	maximal, complemented
13	C₆₁×#3168	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3105	C₂	1	2	yes	maximal, complemented
15	C₆₁×#3102	C₂	1	2	yes	maximal, complemented
16	C₆₁×#3100	C₂	1	2	yes	maximal, complemented
17	C₆₁×#2965	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×AGL(1,ℤ/8)×C₆₁	C₂	1	2	yes	maximal, complemented
19	C₂×C₄×D₈×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	2	yes	—
21	C₂²×D₈×C₆₁	C₂²	1	1	yes	characteristic
22	C₆₁×#559	C₂²	1	2	yes	complemented
23	C₆₁×#554	C₂²	1	2	yes	complemented
24	C₆₁×#554	C₂²	1	2	yes	complemented
25	C₆₁×#553	—	2	2	no	—
26	C₆₁×#553	C₂²	1	2	yes	—
27	C₆₁×#553	C₂²	1	2	yes	complemented
28	C₆₁×#551	—	2	2	no	—
29	C₆₁×#551	—	2	2	no	—
30	C₆₁×#546	—	2	2	no	—
31	C₆₁×#546	C₂²	1	2	yes	—
32	C₆₁×#546	C₂²	1	2	yes	complemented
33	D₄²×C₆₁	C₂²	1	2	yes	complemented
34	C₆₁×#532	C₂²	1	2	yes	complemented
35	C₆₁×#529	—	2	2	no	—
36	C₆₁×#529	C₂²	1	2	yes	complemented
37	C₆₁×#529	C₂²	1	2	yes	complemented
38	C₆₁×#525	—	2	2	no	—
39	C₆₁×#525	—	2	2	no	—
40	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
41	C₄×#41×C₆₁	C₂²	1	2	yes	complemented
42	C₂×C₄×D₄×C₆₁	—	2	2	no	—
43	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	complemented
44	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	complemented
45	C₆₁×#501	C₂²	1	2	yes	complemented
46	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
47	C₆₁×#496	C₂²	1	2	yes	complemented
48	C₆₁×#495	C₂²	1	1	yes	characteristic, complemented
49	C₆₁×#490	C₂²	1	2	yes	complemented
50	C₆₁×#489	C₂²	1	2	yes	complemented
51	C₆₁×#488	C₂²	1	2	yes	complemented
52	C₆₁×#485	C₂²	1	2	yes	complemented
53	C₆₁×#484	C₂²	1	2	yes	complemented
54	C₆₁×#482	C₂²	1	2	yes	complemented
55	C₆₁×#481	C₂²	1	2	yes	complemented
56	C₆₁×#480	C₂²	1	2	yes	complemented
57	C₆₁×#480	C₂²	1	2	yes	complemented
58	C₆₁×#479	C₂²	1	2	yes	complemented
59	C₆₁×#478	C₂²	1	2	yes	complemented
60	C₆₁×#478	C₂²	1	2	yes	complemented
61	C₆₁×#478	C₂²	1	2	yes	complemented
62	C₆₁×#474	C₂²	1	2	yes	complemented
63	C₆₁×#474	C₂²	1	2	yes	complemented
64	C₆₁×#469	C₂²	1	2	yes	complemented
65	C₆₁×#469	C₂²	1	2	yes	complemented
66	C₆₁×#468	C₂²	1	2	yes	complemented
67	C₆₁×#468	C₂²	1	2	yes	complemented
68	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
69	C₆₁×#466	C₂²	1	1	yes	characteristic
70	C₆₁×#465	C₂²	1	2	yes	complemented
71	C₆₁×#464	C₂²	1	2	yes	complemented
72	C₆₁×#463	C₂²	1	2	yes	complemented
73	C₆₁×#463	C₂²	1	2	yes	complemented
74	C₆₁×#463	C₂²	1	2	yes	complemented
75	C₆₁×#459	C₂²	1	2	yes	—
76	C₆₁×#459	C₂²	1	2	yes	complemented
77	C₆₁×#452	C₂²	1	2	yes	complemented
78	C₆₁×#450	C₂²	1	2	yes	complemented
79	C₆₁×#449	C₂²	1	2	yes	—
80	C₆₁×#447	C₂²	1	2	yes	—
81	C₆₁×#447	C₂²	1	2	yes	complemented
82	C₆₁×#447	C₂²	1	2	yes	complemented
83	C₆₁×#446	C₂²	1	1	yes	characteristic, complemented
84	C₆₁×#446	C₂²	1	1	yes	characteristic, complemented
85	C₆₁×#442	C₂²	1	2	yes	—
86	C₆₁×#442	C₂²	1	2	yes	complemented
87	C₆₁×#440	C₂²	1	2	yes	complemented
88	C₆₁×#440	C₂²	1	2	yes	complemented
89	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
90	C₄×SD₁₆×C₆₁	C₂²	1	2	yes	complemented
91	C₄×SD₁₆×C₆₁	C₂²	1	2	yes	complemented
92	C₄×SD₁₆×C₆₁	C₂²	1	2	yes	complemented
93	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
94	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
95	C₄×D₈×C₆₁	C₂²	1	2	yes	complemented
96	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
97	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
98	C₄×D₈×C₆₁	C₂²	1	2	yes	complemented
99	C₄×D₈×C₆₁	C₂²	1	2	yes	complemented
100	C₄×D₈×C₆₁	C₂²	1	2	yes	complemented
101	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
102	C₆₁×#436	C₂²	1	1	yes	characteristic, complemented
103	C₆₁×#436	C₂²	1	1	yes	characteristic, complemented
104	C₆₁×#435	C₂²	1	2	yes	complemented
105	C₆₁×#435	C₂²	1	2	yes	complemented
106	C₆₁×#431	C₂²	1	2	yes	complemented
107	C₆₁×#431	C₂²	1	1	yes	characteristic, complemented
108	C₆₁×#428	C₂²	1	2	yes	complemented
109	C₂×#107×C₆₁	C₂²	1	1	yes	characteristic, complemented
110	C₆₁×#418	C₂²	1	2	yes	complemented
111	C₆₁×#417	C₂²	1	2	yes	complemented
112	C₂×#102×C₆₁	C₂²	1	2	yes	complemented
113	C₄×M₁₆×C₆₁	C₂²	1	2	yes	complemented
114	C₂×C₄×C₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
115	C₂×#41×C₆₁	—	2	2	no	—
116	C₂×#41×C₆₁	D₄	1	1	yes	characteristic
117	C₂×#41×C₆₁	C₂³	1	2	yes	—
118	C₂²×D₄×C₆₁	—	2	2	no	—
119	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
120	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
121	C₂³×C₄×C₆₁	—	2	2	no	—
122	C₂³×C₄×C₆₁	—	2	2	no	—
123	AGL(1,ℤ/8)×C₆₁	—	2	8	no	—
124	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
125	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
126	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
127	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
128	C₂×D₈×C₆₁	—	2	4	no	—
129	C₂×D₈×C₆₁	C₂³	1	2	yes	—
130	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
131	C₂×D₈×C₆₁	C₂³	1	2	yes	—
132	C₂×D₈×C₆₁	C₂³	1	2	yes	—
133	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
134	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
135	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
136	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
137	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
138	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
139	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
140	#127×C₆₁	C₂³	1	2	yes	—
141	#126×C₆₁	—	2	2	no	—
142	#126×C₆₁	—	2	2	no	—
143	#126×C₆₁	—	2	2	no	—
144	#126×C₆₁	—	2	2	no	—
145	#125×C₆₁	—	2	2	no	—
146	#125×C₆₁	C₂³	1	2	yes	—
147	#125×C₆₁	C₂³	1	2	yes	—
148	#124×C₆₁	—	2	2	no	—
149	#124×C₆₁	—	2	2	no	—
150	#124×C₆₁	C₂³	1	2	yes	—
151	#124×C₆₁	C₂³	1	2	yes	—
152	#123×C₆₁	—	2	2	no	—
153	#123×C₆₁	—	2	2	no	—
154	#123×C₆₁	—	2	2	no	—
155	#123×C₆₁	—	2	2	no	—
156	#123×C₆₁	—	2	2	no	—
157	#123×C₆₁	—	2	2	no	—
158	#123×C₆₁	—	2	2	no	—
159	#123×C₆₁	—	2	2	no	—
160	C₂²⋊Q₈×C₆₁	—	2	2	no	—
161	C₂²⋊Q₈×C₆₁	—	2	2	no	—
162	C₂²⋊Q₈×C₆₁	—	2	2	no	—
163	C₂²⋊Q₈×C₆₁	—	2	2	no	—
164	C₂²⋊Q₈×C₆₁	—	2	2	no	—
165	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
166	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
167	#121×C₆₁	—	2	2	no	—
168	#121×C₆₁	—	2	2	no	—
169	#121×C₆₁	—	2	2	no	—
170	#121×C₆₁	—	2	2	no	—
171	#121×C₆₁	—	2	2	no	—
172	#121×C₆₁	—	2	2	no	—
173	#121×C₆₁	C₂³	1	2	yes	—
174	#121×C₆₁	C₂³	1	2	yes	—
175	#121×C₆₁	C₂³	1	2	yes	—
176	#121×C₆₁	C₂³	1	2	yes	—
177	#120×C₆₁	—	2	2	no	—
178	#120×C₆₁	—	2	2	no	—
179	#120×C₆₁	—	2	2	no	—
180	#120×C₆₁	—	2	2	no	—
181	C₄×Q₈×C₆₁	D₄	1	1	yes	characteristic
182	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
183	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
184	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
185	C₄×D₄×C₆₁	—	2	2	no	—
186	C₄×D₄×C₆₁	—	2	2	no	—
187	C₄×D₄×C₆₁	—	2	2	no	—
188	C₄×D₄×C₆₁	—	2	2	no	—
189	C₄×D₄×C₆₁	—	2	2	no	—
190	C₄×D₄×C₆₁	—	2	2	no	—
191	C₄×D₄×C₆₁	—	2	2	no	—
192	C₄×D₄×C₆₁	—	2	2	no	—
193	C₄×D₄×C₆₁	—	2	2	no	—
194	C₄×D₄×C₆₁	—	2	2	no	—
195	C₄×D₄×C₆₁	—	2	2	no	—
196	C₄×D₄×C₆₁	—	2	2	no	—
197	C₄×D₄×C₆₁	—	2	2	no	—
198	C₄×D₄×C₆₁	D₄	1	2	yes	—
199	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
200	C₄×D₄×C₆₁	C₂³	1	2	yes	—
201	C₄×D₄×C₆₁	C₂³	1	2	yes	—
202	C₄×D₄×C₆₁	C₂³	1	2	yes	—
203	C₄×D₄×C₆₁	C₂³	1	2	yes	—
204	C₄×D₄×C₆₁	C₂³	1	2	yes	—
205	C₄×D₄×C₆₁	C₂³	1	2	yes	—
206	C₄×D₄×C₆₁	C₂³	1	2	yes	—
207	C₄×D₄×C₆₁	C₂³	1	2	yes	—
208	C₄×D₄×C₆₁	C₂³	1	2	yes	—
209	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
210	#117×C₆₁	—	2	2	no	—
211	#117×C₆₁	—	2	2	no	—
212	#117×C₆₁	—	2	2	no	—
213	#117×C₆₁	D₄	1	1	yes	characteristic
214	#117×C₆₁	D₄	1	2	yes	—
215	#117×C₆₁	C₂³	1	2	yes	—
216	C₂×C₄⋊C₄×C₆₁	—	2	2	no	—
217	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
218	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
220	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
221	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
222	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
223	C₂×C₄²×C₆₁	—	2	2	no	—
224	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
225	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
226	#107×C₆₁	C₂³	1	1	yes	characteristic
227	#107×C₆₁	C₂³	1	1	yes	characteristic
228	#107×C₆₁	C₂³	1	2	yes	—
229	#107×C₆₁	C₂³	1	2	yes	—
230	#107×C₆₁	C₂³	1	1	yes	characteristic
231	#107×C₆₁	C₂³	1	2	yes	—
232	#107×C₆₁	C₂³	1	1	yes	characteristic
233	#106×C₆₁	C₂³	1	2	yes	—
234	#106×C₆₁	C₂³	1	2	yes	—
235	#106×C₆₁	C₂³	1	2	yes	—
236	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
237	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
238	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
239	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
240	#103×C₆₁	C₂³	1	2	yes	—
241	#103×C₆₁	C₂³	1	2	yes	—
242	#103×C₆₁	C₂³	1	2	yes	—
243	#103×C₆₁	C₂³	1	2	yes	—
244	#102×C₆₁	C₂³	1	2	yes	—
245	#102×C₆₁	C₂³	1	2	yes	—
246	#102×C₆₁	C₂³	1	2	yes	—
247	#102×C₆₁	C₂³	1	2	yes	—
248	#102×C₆₁	C₂³	1	2	yes	—
249	#102×C₆₁	C₂³	1	2	yes	—
250	#102×C₆₁	C₂³	1	2	yes	—
251	#102×C₆₁	C₂³	1	2	yes	—
252	#102×C₆₁	C₂³	1	2	yes	—
253	#102×C₆₁	C₂³	1	2	yes	—
254	#102×C₆₁	C₂³	1	2	yes	—
255	#102×C₆₁	C₂³	1	2	yes	—
256	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
257	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
258	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
259	#97×C₆₁	C₂³	1	2	yes	—
260	#97×C₆₁	C₂³	1	2	yes	—
261	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
262	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
263	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
264	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
265	C₄×C₈×C₆₁	C₂³	1	2	yes	—
266	C₂⁴×C₆₁	—	2	2	no	—
267	C₂⁴×C₆₁	—	2	2	no	—
268	#41×C₆₁	—	2	4	no	—
269	#41×C₆₁	—	4	2	no	—
270	#41×C₆₁	—	4	2	no	—
271	#41×C₆₁	—	8	4	no	—
272	C₂×Q₈×C₆₁	—	2	2	no	—
273	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
274	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
275	C₂×D₄×C₆₁	—	2	4	no	—
276	C₂×D₄×C₆₁	—	2	4	no	—
277	C₂×D₄×C₆₁	—	2	2	no	—
278	C₂×D₄×C₆₁	—	2	2	no	—
279	C₂×D₄×C₆₁	—	2	2	no	—
280	C₂×D₄×C₆₁	—	2	2	no	—
281	C₂×D₄×C₆₁	—	2	2	no	—
282	C₂×D₄×C₆₁	—	2	2	no	—
283	C₂×D₄×C₆₁	—	2	2	no	—
284	C₂×D₄×C₆₁	—	2	2	no	—
285	C₂×D₄×C₆₁	—	2	2	no	—
286	C₂×D₄×C₆₁	—	4	2	no	—
287	C₂×D₄×C₆₁	—	4	2	no	—
288	C₂×D₄×C₆₁	—	4	8	no	—
289	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
290	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
291	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
292	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
293	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₆₁	—	2	2	no	—
295	C₂²×C₄×C₆₁	—	2	2	no	—
296	C₂²×C₄×C₆₁	—	2	2	no	—
297	C₂²×C₄×C₆₁	—	2	2	no	—
298	C₂²×C₄×C₆₁	—	2	2	no	—
299	C₂²×C₄×C₆₁	—	2	2	no	—
300	C₂²×C₄×C₆₁	—	2	2	no	—
301	C₂²×C₄×C₆₁	—	2	2	no	—
302	C₂²×C₄×C₆₁	—	2	2	no	—
303	C₂²×C₄×C₆₁	—	2	2	no	—
304	C₂²×C₄×C₆₁	—	2	2	no	—
305	C₂²×C₄×C₆₁	—	8	4	no	—
306	C₂²×C₄×C₆₁	—	8	4	no	—
307	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
308	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
309	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
310	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
311	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
313	Q₁₆×C₆₁	—	4	1	no	—
314	SD₁₆×C₆₁	—	2	4	no	—
315	SD₁₆×C₆₁	—	2	4	no	—
316	SD₁₆×C₆₁	—	4	2	no	—
317	D₈×C₆₁	—	2	4	no	—
318	D₈×C₆₁	—	2	4	no	—
319	D₈×C₆₁	—	2	2	no	—
320	D₈×C₆₁	—	4	1	no	—
321	D₈×C₆₁	—	4	2	no	—
322	D₈×C₆₁	#41	1	4	yes	complemented
323	M₁₆×C₆₁	—	2	4	no	—
324	M₁₆×C₆₁	—	4	2	no	—
325	C₂×C₈×C₆₁	—	2	2	no	—
326	C₂×C₈×C₆₁	—	4	1	no	—
327	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
328	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
329	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
330	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
331	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
332	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
333	C₄⋊C₄×C₆₁	—	2	2	no	—
334	C₄⋊C₄×C₆₁	—	2	2	no	—
335	C₄⋊C₄×C₆₁	—	2	2	no	—
336	C₄⋊C₄×C₆₁	—	2	2	no	—
337	C₄⋊C₄×C₆₁	—	2	2	no	—
338	C₄⋊C₄×C₆₁	—	2	2	no	—
339	C₄⋊C₄×C₆₁	—	2	2	no	—
340	C₄⋊C₄×C₆₁	—	2	2	no	—
341	C₄⋊C₄×C₆₁	—	2	2	no	—
342	C₄⋊C₄×C₆₁	—	2	2	no	—
343	C₄⋊C₄×C₆₁	—	2	2	no	—
344	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
345	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
346	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
347	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
348	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
349	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
350	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
351	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
352	C₂²⋊C₄×C₆₁	—	2	2	no	—
353	C₂²⋊C₄×C₆₁	—	2	2	no	—
354	C₂²⋊C₄×C₆₁	—	2	2	no	—
355	C₂²⋊C₄×C₆₁	—	2	2	no	—
356	C₂²⋊C₄×C₆₁	—	2	2	no	—
357	C₂²⋊C₄×C₆₁	—	2	2	no	—
358	C₂²⋊C₄×C₆₁	—	2	2	no	—
359	C₂²⋊C₄×C₆₁	—	2	2	no	—
360	C₂²⋊C₄×C₆₁	—	2	2	no	—
361	C₂²⋊C₄×C₆₁	—	2	2	no	—
362	C₂²⋊C₄×C₆₁	—	2	2	no	—
363	C₂²⋊C₄×C₆₁	—	2	2	no	—
364	C₂²⋊C₄×C₆₁	—	2	2	no	—
365	C₂²⋊C₄×C₆₁	—	2	2	no	—
366	C₂²⋊C₄×C₆₁	—	2	2	no	—
367	C₂²⋊C₄×C₆₁	—	2	2	no	—
368	C₂²⋊C₄×C₆₁	—	2	2	no	—
369	C₂²⋊C₄×C₆₁	—	2	2	no	—
370	C₂²⋊C₄×C₆₁	—	2	2	no	—
371	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
372	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
373	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
374	C₄²×C₆₁	—	2	2	no	—
375	C₄²×C₆₁	—	2	2	no	—
376	C₄²×C₆₁	—	2	2	no	—
377	C₄²×C₆₁	C₂×D₄	1	2	yes	—
378	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
379	C₄²×C₆₁	C₂×D₄	1	2	yes	—
380	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
381	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
382	C₄²×C₆₁	C₂⁴	1	2	yes	—
383	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
384	C₂³×C₆₁	—	2	2	no	—
385	C₂³×C₆₁	—	2	2	no	—
386	C₂³×C₆₁	—	2	2	no	—
387	C₂³×C₆₁	—	4	4	no	—
388	C₂³×C₆₁	—	4	4	no	—
389	C₂³×C₆₁	—	4	4	no	—
390	C₂³×C₆₁	—	4	4	no	—
391	C₂³×C₆₁	—	8	2	no	—
392	C₂³×C₆₁	—	8	2	no	—
393	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
394	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
395	Q₈×C₆₁	—	2	2	no	—
396	Q₈×C₆₁	—	2	2	no	—
397	Q₈×C₆₁	—	4	1	no	—
398	Q₈×C₆₁	—	8	2	no	—
399	D₄×C₆₁	—	2	4	no	—
400	D₄×C₆₁	—	2	2	no	—
401	D₄×C₆₁	—	2	2	no	—
402	D₄×C₆₁	—	2	2	no	—
403	D₄×C₆₁	—	2	2	no	—
404	D₄×C₆₁	—	2	2	no	—
405	D₄×C₆₁	—	4	1	no	—
406	D₄×C₆₁	—	4	4	no	—
407	D₄×C₆₁	—	4	4	no	—
408	D₄×C₆₁	—	4	4	no	—
409	D₄×C₆₁	—	4	4	no	—
410	D₄×C₆₁	—	4	4	no	—
411	D₄×C₆₁	—	4	4	no	—
412	D₄×C₆₁	—	8	2	no	—
413	D₄×C₆₁	—	8	2	no	—
414	D₄×C₆₁	—	8	2	no	—
415	D₄×C₆₁	C₂×#41	1	4	yes	—
416	C₂×C₄×C₆₁	—	2	2	no	—
417	C₂×C₄×C₆₁	—	2	2	no	—
418	C₂×C₄×C₆₁	—	2	4	no	—
419	C₂×C₄×C₆₁	—	2	1	no	—
420	C₂×C₄×C₆₁	—	2	2	no	—
421	C₂×C₄×C₆₁	—	2	1	no	—
422	C₂×C₄×C₆₁	—	2	2	no	—
423	C₂×C₄×C₆₁	—	2	2	no	—
424	C₂×C₄×C₆₁	—	2	2	no	—
425	C₂×C₄×C₆₁	—	2	2	no	—
426	C₂×C₄×C₆₁	—	2	2	no	—
427	C₂×C₄×C₆₁	—	2	2	no	—
428	C₂×C₄×C₆₁	—	4	2	no	—
429	C₂×C₄×C₆₁	—	4	4	no	—
430	C₂×C₄×C₆₁	—	4	4	no	—
431	C₂×C₄×C₆₁	—	4	4	no	—
432	C₂×C₄×C₆₁	—	4	4	no	—
433	C₂×C₄×C₆₁	—	4	4	no	—
434	C₂×C₄×C₆₁	—	8	2	no	—
435	C₂×C₄×C₆₁	—	8	2	no	—
436	C₂×C₄×C₆₁	—	8	2	no	—
437	C₂×C₄×C₆₁	—	8	2	no	—
438	C₂×C₄×C₆₁	—	8	2	no	—
439	C₂×C₄×C₆₁	—	8	2	no	—
440	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
441	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
442	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
443	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
444	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
445	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
446	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
447	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
448	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
449	C₈×C₆₁	—	2	1	no	—
450	C₈×C₆₁	—	2	2	no	—
451	C₈×C₆₁	—	2	1	no	—
452	C₈×C₆₁	—	2	1	no	—
453	C₈×C₆₁	—	2	2	no	—
454	C₈×C₆₁	C₂×#41	1	2	yes	—
455	#61444	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
456	C₂²×C₆₁	—	2	1	no	—
457	C₂²×C₆₁	—	2	1	no	—
458	C₂²×C₆₁	—	2	2	no	—
459	C₂²×C₆₁	—	2	4	no	—
460	C₂²×C₆₁	—	2	2	no	—
461	C₂²×C₆₁	—	2	2	no	—
462	C₂²×C₆₁	—	4	2	no	—
463	C₂²×C₆₁	—	4	2	no	—
464	C₂²×C₆₁	—	4	2	no	—
465	C₂²×C₆₁	—	4	2	no	—
466	C₂²×C₆₁	—	4	2	no	—
467	C₂²×C₆₁	—	4	2	no	—
468	C₂²×C₆₁	—	4	2	no	—
469	C₂²×C₆₁	—	4	2	no	—
470	C₂²×C₆₁	—	8	8	no	—
471	C₂²×C₆₁	—	8	8	no	—
472	C₂²×C₆₁	#575	1	2	yes	—
473	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
474	C₄×C₆₁	—	2	2	no	—
475	C₄×C₆₁	—	2	1	no	—
476	C₄×C₆₁	—	2	1	no	—
477	C₄×C₆₁	—	2	1	no	—
478	C₄×C₆₁	—	2	2	no	—
479	C₄×C₆₁	—	2	1	no	—
480	C₄×C₆₁	—	2	2	no	—
481	C₄×C₆₁	—	4	2	no	—
482	C₄×C₆₁	—	4	2	no	—
483	C₄×C₆₁	—	4	2	no	—
484	C₄×C₆₁	—	4	2	no	—
485	C₄×C₆₁	—	4	2	no	—
486	C₄×C₆₁	#576	1	2	yes	—
487	C₄×C₆₁	C₂²×#41	1	1	yes	characteristic
488	C₄×C₆₁	#585	1	1	yes	characteristic
489	#3481	C₂×C₆₁	1	2	yes	complemented
490	#3403	C₂×C₆₁	1	1	yes	characteristic, complemented
491	#3389	C₂×C₆₁	1	1	yes	characteristic, complemented
492	#3370	C₂×C₆₁	1	2	yes	complemented
493	#3355	C₂×C₆₁	1	1	yes	characteristic, complemented
494	#3346	C₂×C₆₁	1	2	yes	complemented
495	#3322	C₂×C₆₁	1	2	yes	complemented
496	#3318	C₂×C₆₁	1	2	yes	complemented
497	#3314	C₂×C₆₁	1	2	yes	complemented
498	#3273	C₂×C₆₁	1	1	yes	characteristic, complemented
499	#3264	C₂×C₆₁	1	2	yes	complemented
500	#3171	C₂×C₆₁	1	2	yes	complemented
501	#3168	C₂×C₆₁	1	1	yes	characteristic, complemented
502	#3105	C₂×C₆₁	1	2	yes	complemented
503	#3102	C₂×C₆₁	1	2	yes	complemented
504	#3100	C₂×C₆₁	1	2	yes	complemented
505	#2965	C₂×C₆₁	1	1	yes	characteristic, complemented
506	C₄×AGL(1,ℤ/8)	C₂×C₆₁	1	2	yes	complemented
507	C₂×C₄×D₈	C₂×C₆₁	1	1	yes	characteristic, complemented
508	C₂×C₆₁	—	2	2	no	—
509	C₂×C₆₁	—	4	2	no	—
510	C₂×C₆₁	—	4	4	no	—
511	C₂×C₆₁	—	8	2	no	—
512	C₂×C₆₁	—	8	2	no	—
513	C₂×C₆₁	D₄×#41	1	1	yes	characteristic
514	C₂×C₆₁	C₂×#575	1	1	yes	characteristic
515	C₂×C₆₁	C₂×#576	1	1	yes	characteristic
516	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	2	yes	—
517	C₂²×D₈	C₂²×C₆₁	1	1	yes	characteristic
518	#559	C₂²×C₆₁	1	2	yes	complemented
519	#554	C₂²×C₆₁	1	2	yes	complemented
520	#554	C₂²×C₆₁	1	2	yes	complemented
521	#553	—	2	2	no	—
522	#553	C₂²×C₆₁	1	2	yes	—
523	#553	C₂²×C₆₁	1	2	yes	complemented
524	#551	—	2	2	no	—
525	#551	—	2	2	no	—
526	#546	—	2	2	no	—
527	#546	C₂²×C₆₁	1	2	yes	—
528	#546	C₂²×C₆₁	1	2	yes	complemented
529	D₄²	C₂²×C₆₁	1	2	yes	complemented
530	#532	C₂²×C₆₁	1	2	yes	complemented
531	#529	—	2	2	no	—
532	#529	C₂²×C₆₁	1	2	yes	complemented
533	#529	C₂²×C₆₁	1	2	yes	complemented
534	#525	—	2	2	no	—
535	#525	—	2	2	no	—
536	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
537	C₄×#41	C₂²×C₆₁	1	2	yes	complemented
538	C₂×C₄×D₄	—	2	2	no	—
539	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	complemented
540	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	complemented
541	#501	C₂²×C₆₁	1	2	yes	complemented
542	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
543	#496	C₂²×C₆₁	1	2	yes	complemented
544	#495	C₂²×C₆₁	1	1	yes	characteristic, complemented
545	#490	C₂²×C₆₁	1	2	yes	complemented
546	#489	C₂²×C₆₁	1	2	yes	complemented
547	#488	C₂²×C₆₁	1	2	yes	complemented
548	#485	C₂²×C₆₁	1	2	yes	complemented
549	#484	C₂²×C₆₁	1	2	yes	complemented
550	#482	C₂²×C₆₁	1	2	yes	complemented
551	#481	C₂²×C₆₁	1	2	yes	complemented
552	#480	C₂²×C₆₁	1	2	yes	complemented
553	#480	C₂²×C₆₁	1	2	yes	complemented
554	#479	C₂²×C₆₁	1	2	yes	complemented
555	#478	C₂²×C₆₁	1	2	yes	complemented
556	#478	C₂²×C₆₁	1	2	yes	complemented
557	#478	C₂²×C₆₁	1	2	yes	complemented
558	#474	C₂²×C₆₁	1	2	yes	complemented
559	#474	C₂²×C₆₁	1	2	yes	complemented
560	#469	C₂²×C₆₁	1	2	yes	complemented
561	#469	C₂²×C₆₁	1	2	yes	complemented
562	#468	C₂²×C₆₁	1	2	yes	complemented
563	#468	C₂²×C₆₁	1	2	yes	complemented
564	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
565	#466	C₂²×C₆₁	1	1	yes	characteristic
566	#465	C₂²×C₆₁	1	2	yes	complemented
567	#464	C₂²×C₆₁	1	2	yes	complemented
568	#463	C₂²×C₆₁	1	2	yes	complemented
569	#463	C₂²×C₆₁	1	2	yes	complemented
570	#463	C₂²×C₆₁	1	2	yes	complemented
571	#459	C₂²×C₆₁	1	2	yes	—
572	#459	C₂²×C₆₁	1	2	yes	complemented
573	#452	C₂²×C₆₁	1	2	yes	complemented
574	#450	C₂²×C₆₁	1	2	yes	complemented
575	#449	C₂²×C₆₁	1	2	yes	—
576	#447	C₂²×C₆₁	1	2	yes	—
577	#447	C₂²×C₆₁	1	2	yes	complemented
578	#447	C₂²×C₆₁	1	2	yes	complemented
579	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
580	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
581	#442	C₂²×C₆₁	1	2	yes	—
582	#442	C₂²×C₆₁	1	2	yes	complemented
583	#440	C₂²×C₆₁	1	2	yes	complemented
584	#440	C₂²×C₆₁	1	2	yes	complemented
585	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
586	C₄×SD₁₆	C₂²×C₆₁	1	2	yes	complemented
587	C₄×SD₁₆	C₂²×C₆₁	1	2	yes	complemented
588	C₄×SD₁₆	C₂²×C₆₁	1	2	yes	complemented
589	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
590	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
591	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
592	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
593	C₄×D₈	C₂²×C₆₁	1	2	yes	complemented
594	C₄×D₈	C₂²×C₆₁	1	2	yes	complemented
595	C₄×D₈	C₂²×C₆₁	1	2	yes	complemented
596	C₄×D₈	C₂²×C₆₁	1	2	yes	complemented
597	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
598	#436	C₂²×C₆₁	1	1	yes	characteristic, complemented
599	#436	C₂²×C₆₁	1	1	yes	characteristic, complemented
600	#435	C₂²×C₆₁	1	2	yes	complemented
601	#435	C₂²×C₆₁	1	2	yes	complemented
602	#431	C₂²×C₆₁	1	2	yes	complemented
603	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
604	#428	C₂²×C₆₁	1	2	yes	complemented
605	C₂×#107	C₂²×C₆₁	1	1	yes	characteristic, complemented
606	#418	C₂²×C₆₁	1	2	yes	complemented
607	#417	C₂²×C₆₁	1	2	yes	complemented
608	C₂×#102	C₂²×C₆₁	1	2	yes	complemented
609	C₄×M₁₆	C₂²×C₆₁	1	2	yes	complemented
610	C₂×C₄×C₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
611	C₆₁	#61444	1	1	yes	characteristic, direct product factor, Sylow
612	C₂×#41	—	2	2	no	—
613	C₂×#41	D₄×C₆₁	1	1	yes	characteristic
614	C₂×#41	C₂³×C₆₁	1	2	yes	—
615	C₂²×D₄	—	2	2	no	—
616	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
617	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
618	C₂³×C₄	—	2	2	no	—
619	C₂³×C₄	—	2	2	no	—
620	AGL(1,ℤ/8)	—	2	8	no	—
621	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
622	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
623	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
624	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
625	C₂×D₈	—	2	4	no	—
626	C₂×D₈	C₂³×C₆₁	1	2	yes	—
627	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
628	C₂×D₈	C₂³×C₆₁	1	2	yes	—
629	C₂×D₈	C₂³×C₆₁	1	2	yes	—
630	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
631	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
632	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
633	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
634	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
635	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
636	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
637	#127	C₂³×C₆₁	1	2	yes	—
638	#126	—	2	2	no	—
639	#126	—	2	2	no	—
640	#126	—	2	2	no	—
641	#126	—	2	2	no	—
642	#125	—	2	2	no	—
643	#125	C₂³×C₆₁	1	2	yes	—
644	#125	C₂³×C₆₁	1	2	yes	—
645	#124	—	2	2	no	—
646	#124	—	2	2	no	—
647	#124	C₂³×C₆₁	1	2	yes	—
648	#124	C₂³×C₆₁	1	2	yes	—
649	#123	—	2	2	no	—
650	#123	—	2	2	no	—
651	#123	—	2	2	no	—
652	#123	—	2	2	no	—
653	#123	—	2	2	no	—
654	#123	—	2	2	no	—
655	#123	—	2	2	no	—
656	#123	—	2	2	no	—
657	C₂²⋊Q₈	—	2	2	no	—
658	C₂²⋊Q₈	—	2	2	no	—
659	C₂²⋊Q₈	—	2	2	no	—
660	C₂²⋊Q₈	—	2	2	no	—
661	C₂²⋊Q₈	—	2	2	no	—
662	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
663	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
664	#121	—	2	2	no	—
665	#121	—	2	2	no	—
666	#121	—	2	2	no	—
667	#121	—	2	2	no	—
668	#121	—	2	2	no	—
669	#121	—	2	2	no	—
670	#121	C₂³×C₆₁	1	2	yes	—
671	#121	C₂³×C₆₁	1	2	yes	—
672	#121	C₂³×C₆₁	1	2	yes	—
673	#121	C₂³×C₆₁	1	2	yes	—
674	#120	—	2	2	no	—
675	#120	—	2	2	no	—
676	#120	—	2	2	no	—
677	#120	—	2	2	no	—
678	C₄×Q₈	D₄×C₆₁	1	1	yes	characteristic
679	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
680	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
681	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
682	C₄×D₄	—	2	2	no	—
683	C₄×D₄	—	2	2	no	—
684	C₄×D₄	—	2	2	no	—
685	C₄×D₄	—	2	2	no	—
686	C₄×D₄	—	2	2	no	—
687	C₄×D₄	—	2	2	no	—
688	C₄×D₄	—	2	2	no	—
689	C₄×D₄	—	2	2	no	—
690	C₄×D₄	—	2	2	no	—
691	C₄×D₄	—	2	2	no	—
692	C₄×D₄	—	2	2	no	—
693	C₄×D₄	—	2	2	no	—
694	C₄×D₄	—	2	2	no	—
695	C₄×D₄	D₄×C₆₁	1	2	yes	—
696	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
697	C₄×D₄	C₂³×C₆₁	1	2	yes	—
698	C₄×D₄	C₂³×C₆₁	1	2	yes	—
699	C₄×D₄	C₂³×C₆₁	1	2	yes	—
700	C₄×D₄	C₂³×C₆₁	1	2	yes	—
701	C₄×D₄	C₂³×C₆₁	1	2	yes	—
702	C₄×D₄	C₂³×C₆₁	1	2	yes	—
703	C₄×D₄	C₂³×C₆₁	1	2	yes	—
704	C₄×D₄	C₂³×C₆₁	1	2	yes	—
705	C₄×D₄	C₂³×C₆₁	1	2	yes	—
706	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
707	#117	—	2	2	no	—
708	#117	—	2	2	no	—
709	#117	—	2	2	no	—
710	#117	D₄×C₆₁	1	1	yes	characteristic
711	#117	D₄×C₆₁	1	2	yes	—
712	#117	C₂³×C₆₁	1	2	yes	—
713	C₂×C₄⋊C₄	—	2	2	no	—
714	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
715	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
716	C₂×C₂²⋊C₄	—	2	2	no	—
717	C₂×C₂²⋊C₄	—	2	2	no	—
718	C₂×C₂²⋊C₄	—	2	2	no	—
719	C₂×C₂²⋊C₄	—	2	2	no	—
720	C₂×C₄²	—	2	2	no	—
721	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
722	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
723	#107	C₂³×C₆₁	1	1	yes	characteristic
724	#107	C₂³×C₆₁	1	1	yes	characteristic
725	#107	C₂³×C₆₁	1	2	yes	—
726	#107	C₂³×C₆₁	1	2	yes	—
727	#107	C₂³×C₆₁	1	1	yes	characteristic
728	#107	C₂³×C₆₁	1	2	yes	—
729	#107	C₂³×C₆₁	1	1	yes	characteristic
730	#106	C₂³×C₆₁	1	2	yes	—
731	#106	C₂³×C₆₁	1	2	yes	—
732	#106	C₂³×C₆₁	1	2	yes	—
733	C₄⋊C₈	C₂³×C₆₁	1	2	yes	—
734	C₄⋊C₈	C₂³×C₆₁	1	2	yes	—
735	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
736	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
737	#103	C₂³×C₆₁	1	2	yes	—
738	#103	C₂³×C₆₁	1	2	yes	—
739	#103	C₂³×C₆₁	1	2	yes	—
740	#103	C₂³×C₆₁	1	2	yes	—
741	#102	C₂³×C₆₁	1	2	yes	—
742	#102	C₂³×C₆₁	1	2	yes	—
743	#102	C₂³×C₆₁	1	2	yes	—
744	#102	C₂³×C₆₁	1	2	yes	—
745	#102	C₂³×C₆₁	1	2	yes	—
746	#102	C₂³×C₆₁	1	2	yes	—
747	#102	C₂³×C₆₁	1	2	yes	—
748	#102	C₂³×C₆₁	1	2	yes	—
749	#102	C₂³×C₆₁	1	2	yes	—
750	#102	C₂³×C₆₁	1	2	yes	—
751	#102	C₂³×C₆₁	1	2	yes	—
752	#102	C₂³×C₆₁	1	2	yes	—
753	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
754	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
755	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
756	#97	C₂³×C₆₁	1	2	yes	—
757	#97	C₂³×C₆₁	1	2	yes	—
758	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
759	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
760	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
761	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
762	C₄×C₈	C₂³×C₆₁	1	2	yes	—
763	C₂⁴	—	2	2	no	—
764	C₂⁴	—	2	2	no	—
765	#41	—	2	4	no	—
766	#41	—	4	2	no	—
767	#41	—	4	2	no	—
768	#41	—	8	4	no	—
769	C₂×Q₈	—	2	2	no	—
770	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
771	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
772	C₂×D₄	—	2	4	no	—
773	C₂×D₄	—	2	4	no	—
774	C₂×D₄	—	2	2	no	—
775	C₂×D₄	—	2	2	no	—
776	C₂×D₄	—	2	2	no	—
777	C₂×D₄	—	2	2	no	—
778	C₂×D₄	—	2	2	no	—
779	C₂×D₄	—	2	2	no	—
780	C₂×D₄	—	2	2	no	—
781	C₂×D₄	—	2	2	no	—
782	C₂×D₄	—	2	2	no	—
783	C₂×D₄	—	4	2	no	—
784	C₂×D₄	—	4	2	no	—
785	C₂×D₄	—	4	8	no	—
786	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
787	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
788	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
789	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
790	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	2	2	no	—
796	C₂²×C₄	—	2	2	no	—
797	C₂²×C₄	—	2	2	no	—
798	C₂²×C₄	—	2	2	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	2	no	—
801	C₂²×C₄	—	2	2	no	—
802	C₂²×C₄	—	8	4	no	—
803	C₂²×C₄	—	8	4	no	—
804	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
805	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
806	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
807	C₂²×C₄	C₂×D₄×C₆₁	1	2	yes	—
808	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
809	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
810	Q₁₆	—	4	1	no	—
811	SD₁₆	—	2	4	no	—
812	SD₁₆	—	2	4	no	—
813	SD₁₆	—	4	2	no	—
814	D₈	—	2	4	no	—
815	D₈	—	2	4	no	—
816	D₈	—	2	2	no	—
817	D₈	—	4	1	no	—
818	D₈	—	4	2	no	—
819	D₈	#41×C₆₁	1	4	yes	complemented
820	M₁₆	—	2	4	no	—
821	M₁₆	—	4	2	no	—
822	C₂×C₈	—	2	2	no	—
823	C₂×C₈	—	4	1	no	—
824	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
825	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
826	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
827	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
828	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
829	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
830	C₄⋊C₄	—	2	2	no	—
831	C₄⋊C₄	—	2	2	no	—
832	C₄⋊C₄	—	2	2	no	—
833	C₄⋊C₄	—	2	2	no	—
834	C₄⋊C₄	—	2	2	no	—
835	C₄⋊C₄	—	2	2	no	—
836	C₄⋊C₄	—	2	2	no	—
837	C₄⋊C₄	—	2	2	no	—
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	2	2	no	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
842	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
843	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
844	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
845	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
846	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
847	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
848	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
849	C₂²⋊C₄	—	2	2	no	—
850	C₂²⋊C₄	—	2	2	no	—
851	C₂²⋊C₄	—	2	2	no	—
852	C₂²⋊C₄	—	2	2	no	—
853	C₂²⋊C₄	—	2	2	no	—
854	C₂²⋊C₄	—	2	2	no	—
855	C₂²⋊C₄	—	2	2	no	—
856	C₂²⋊C₄	—	2	2	no	—
857	C₂²⋊C₄	—	2	2	no	—
858	C₂²⋊C₄	—	2	2	no	—
859	C₂²⋊C₄	—	2	2	no	—
860	C₂²⋊C₄	—	2	2	no	—
861	C₂²⋊C₄	—	2	2	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₂²⋊C₄	—	2	2	no	—
864	C₂²⋊C₄	—	2	2	no	—
865	C₂²⋊C₄	—	2	2	no	—
866	C₂²⋊C₄	—	2	2	no	—
867	C₂²⋊C₄	—	2	2	no	—
868	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
869	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
870	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
871	C₄²	—	2	2	no	—
872	C₄²	—	2	2	no	—
873	C₄²	—	2	2	no	—
874	C₄²	C₂×D₄×C₆₁	1	2	yes	—
875	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
876	C₄²	C₂×D₄×C₆₁	1	2	yes	—
877	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
878	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
879	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
880	C₄²	C₂⁴×C₆₁	1	2	yes	—
881	C₂³	—	2	2	no	—
882	C₂³	—	2	2	no	—
883	C₂³	—	2	2	no	—
884	C₂³	—	4	4	no	—
885	C₂³	—	4	4	no	—
886	C₂³	—	4	4	no	—
887	C₂³	—	4	4	no	—
888	C₂³	—	8	2	no	—
889	C₂³	—	8	2	no	—
890	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
891	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
892	Q₈	—	2	2	no	—
893	Q₈	—	2	2	no	—
894	Q₈	—	4	1	no	—
895	Q₈	—	8	2	no	—
896	D₄	—	2	4	no	—
897	D₄	—	2	2	no	—
898	D₄	—	2	2	no	—
899	D₄	—	2	2	no	—
900	D₄	—	2	2	no	—
901	D₄	—	2	2	no	—
902	D₄	—	4	1	no	—
903	D₄	—	4	4	no	—
904	D₄	—	4	4	no	—
905	D₄	—	4	4	no	—
906	D₄	—	4	4	no	—
907	D₄	—	4	4	no	—
908	D₄	—	4	4	no	—
909	D₄	—	8	2	no	—
910	D₄	—	8	2	no	—
911	D₄	—	8	2	no	—
912	D₄	C₂×#41×C₆₁	1	4	yes	—
913	C₂×C₄	—	2	2	no	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	4	no	—
916	C₂×C₄	—	2	1	no	—
917	C₂×C₄	—	2	2	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	4	2	no	—
926	C₂×C₄	—	4	4	no	—
927	C₂×C₄	—	4	4	no	—
928	C₂×C₄	—	4	4	no	—
929	C₂×C₄	—	4	4	no	—
930	C₂×C₄	—	4	4	no	—
931	C₂×C₄	—	8	2	no	—
932	C₂×C₄	—	8	2	no	—
933	C₂×C₄	—	8	2	no	—
934	C₂×C₄	—	8	2	no	—
935	C₂×C₄	—	8	2	no	—
936	C₂×C₄	—	8	2	no	—
937	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
938	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
939	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
940	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
941	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
942	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
943	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
944	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
945	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
946	C₈	—	2	1	no	—
947	C₈	—	2	2	no	—
948	C₈	—	2	1	no	—
949	C₈	—	2	1	no	—
950	C₈	—	2	2	no	—
951	C₈	C₂×#41×C₆₁	1	2	yes	—
952	C₂²	—	2	1	no	—
953	C₂²	—	2	1	no	—
954	C₂²	—	2	2	no	—
955	C₂²	—	2	2	no	—
956	C₂²	—	2	2	no	—
957	C₂²	—	2	4	no	—
958	C₂²	—	4	2	no	—
959	C₂²	—	4	2	no	—
960	C₂²	—	4	2	no	—
961	C₂²	—	4	2	no	—
962	C₂²	—	4	2	no	—
963	C₂²	—	4	2	no	—
964	C₂²	—	4	2	no	—
965	C₂²	—	4	2	no	—
966	C₂²	—	8	8	no	—
967	C₂²	—	8	8	no	—
968	C₂²	C₆₁×#575	1	2	yes	—
969	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
970	C₄	—	2	1	no	—
971	C₄	—	2	1	no	—
972	C₄	—	2	2	no	—
973	C₄	—	2	1	no	—
974	C₄	—	2	2	no	—
975	C₄	—	2	2	no	—
976	C₄	—	2	1	no	—
977	C₄	—	4	2	no	—
978	C₄	—	4	2	no	—
979	C₄	—	4	2	no	—
980	C₄	—	4	2	no	—
981	C₄	—	4	2	no	—
982	C₄	C₆₁×#576	1	2	yes	—
983	C₄	C₂²×#41×C₆₁	1	1	yes	characteristic
984	C₄	C₆₁×#585	1	1	yes	characteristic
985	C₂	—	2	2	no	—
986	C₂	—	4	2	no	—
987	C₂	—	4	4	no	—
988	C₂	—	8	2	no	—
989	C₂	—	8	2	no	—
990	C₂	D₄×#41×C₆₁	1	1	yes	characteristic
991	C₂	C₂×C₆₁×#575	1	1	yes	characteristic
992	C₂	C₂×C₆₁×#576	1	1	yes	characteristic

	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 ◁ C₄×#41×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3481	C₂	semidirect
2. C₆₁×#3403	C₂	semidirect
3. C₆₁×#3389	C₂	semidirect
4. C₆₁×#3370	C₂	semidirect
5. C₆₁×#3355	C₂	semidirect
6. C₆₁×#3346	C₂	semidirect
7. C₆₁×#3322	C₂	semidirect
8. C₆₁×#3318	C₂	semidirect
9. C₆₁×#3314	C₂	semidirect
10. C₆₁×#3273	C₂	semidirect
11. C₆₁×#3264	C₂	semidirect
12. C₆₁×#3171	C₂	semidirect
13. C₆₁×#3168	C₂	semidirect
14. C₆₁×#3105	C₂	semidirect
15. C₆₁×#3102	C₂	semidirect
16. C₆₁×#3100	C₂	semidirect
17. C₆₁×#2965	C₂	semidirect
18. C₄×AGL(1,ℤ/8)×C₆₁	C₂	semidirect
19. C₂×C₄×D₈×C₆₁	C₂	semidirect
22. C₆₁×#559	C₂²	semidirect
23. C₆₁×#554	C₂²	semidirect
24. C₆₁×#554	C₂²	semidirect
27. C₆₁×#553	C₂²	semidirect
32. C₆₁×#546	C₂²	semidirect
33. D₄²×C₆₁	C₂²	semidirect
34. C₆₁×#532	C₂²	semidirect
36. C₆₁×#529	C₂²	semidirect
37. C₆₁×#529	C₂²	semidirect
41. C₄×#41×C₆₁	C₂²	semidirect
43. C₂×C₄×D₄×C₆₁	C₂²	semidirect
44. C₂×C₄×D₄×C₆₁	C₂²	semidirect
45. C₆₁×#501	C₂²	semidirect
46. C₆₁×#499	C₂²	semidirect
47. C₆₁×#496	C₂²	semidirect
48. C₆₁×#495	C₂²	semidirect
49. C₆₁×#490	C₂²	semidirect
50. C₆₁×#489	C₂²	semidirect
51. C₆₁×#488	C₂²	semidirect
52. C₆₁×#485	C₂²	semidirect
53. C₆₁×#484	C₂²	semidirect
54. C₆₁×#482	C₂²	semidirect
55. C₆₁×#481	C₂²	semidirect
56. C₆₁×#480	C₂²	semidirect
57. C₆₁×#480	C₂²	semidirect
58. C₆₁×#479	C₂²	semidirect
59. C₆₁×#478	C₂²	semidirect
60. C₆₁×#478	C₂²	semidirect
61. C₆₁×#478	C₂²	semidirect
62. C₆₁×#474	C₂²	semidirect
63. C₆₁×#474	C₂²	semidirect
64. C₆₁×#469	C₂²	semidirect
65. C₆₁×#469	C₂²	semidirect
66. C₆₁×#468	C₂²	semidirect
67. C₆₁×#468	C₂²	semidirect
68. C₆₁×#467	C₂²	semidirect
70. C₆₁×#465	C₂²	semidirect
71. C₆₁×#464	C₂²	semidirect
72. C₆₁×#463	C₂²	semidirect
73. C₆₁×#463	C₂²	semidirect
74. C₆₁×#463	C₂²	semidirect
76. C₆₁×#459	C₂²	semidirect
77. C₆₁×#452	C₂²	semidirect
78. C₆₁×#450	C₂²	semidirect
81. C₆₁×#447	C₂²	semidirect
82. C₆₁×#447	C₂²	semidirect
83. C₆₁×#446	C₂²	semidirect
84. C₆₁×#446	C₂²	semidirect
86. C₆₁×#442	C₂²	semidirect
87. C₆₁×#440	C₂²	semidirect
88. C₆₁×#440	C₂²	semidirect
89. C₄×Q₁₆×C₆₁	C₂²	semidirect
90. C₄×SD₁₆×C₆₁	C₂²	semidirect
91. C₄×SD₁₆×C₆₁	C₂²	semidirect
92. C₄×SD₁₆×C₆₁	C₂²	semidirect
95. C₄×D₈×C₆₁	C₂²	semidirect
96. C₄×D₈×C₆₁	C₂²	semidirect
97. C₄×D₈×C₆₁	C₂²	semidirect
98. C₄×D₈×C₆₁	C₂²	semidirect
99. C₄×D₈×C₆₁	C₂²	semidirect
100. C₄×D₈×C₆₁	C₂²	semidirect
101. C₄×D₈×C₆₁	C₂²	semidirect
102. C₆₁×#436	C₂²	semidirect
103. C₆₁×#436	C₂²	semidirect
104. C₆₁×#435	C₂²	semidirect
105. C₆₁×#435	C₂²	semidirect
106. C₆₁×#431	C₂²	semidirect
107. C₆₁×#431	C₂²	semidirect
108. C₆₁×#428	C₂²	semidirect
109. C₂×#107×C₆₁	C₂²	semidirect
110. C₆₁×#418	C₂²	semidirect
111. C₆₁×#417	C₂²	semidirect
112. C₂×#102×C₆₁	C₂²	semidirect
113. C₄×M₁₆×C₆₁	C₂²	semidirect
114. C₂×C₄×C₈×C₆₁	C₂²	semidirect
322. D₈×C₆₁	#41	semidirect
455. #61444	C₆₁	direct (N × H)
489. #3481	C₂×C₆₁	semidirect
490. #3403	C₂×C₆₁	semidirect
491. #3389	C₂×C₆₁	semidirect
492. #3370	C₂×C₆₁	semidirect
493. #3355	C₂×C₆₁	semidirect
494. #3346	C₂×C₆₁	semidirect
495. #3322	C₂×C₆₁	semidirect
496. #3318	C₂×C₆₁	semidirect
497. #3314	C₂×C₆₁	semidirect
498. #3273	C₂×C₆₁	semidirect
499. #3264	C₂×C₆₁	semidirect
500. #3171	C₂×C₆₁	semidirect
501. #3168	C₂×C₆₁	semidirect
502. #3105	C₂×C₆₁	semidirect
503. #3102	C₂×C₆₁	semidirect
504. #3100	C₂×C₆₁	semidirect
505. #2965	C₂×C₆₁	semidirect
506. C₄×AGL(1,ℤ/8)	C₂×C₆₁	semidirect
507. C₂×C₄×D₈	C₂×C₆₁	semidirect
518. #559	C₂²×C₆₁	semidirect
519. #554	C₂²×C₆₁	semidirect
520. #554	C₂²×C₆₁	semidirect
523. #553	C₂²×C₆₁	semidirect
528. #546	C₂²×C₆₁	semidirect
529. D₄²	C₂²×C₆₁	semidirect
530. #532	C₂²×C₆₁	semidirect
532. #529	C₂²×C₆₁	semidirect
533. #529	C₂²×C₆₁	semidirect
537. C₄×#41	C₂²×C₆₁	semidirect
539. C₂×C₄×D₄	C₂²×C₆₁	semidirect
540. C₂×C₄×D₄	C₂²×C₆₁	semidirect
541. #501	C₂²×C₆₁	semidirect
542. #499	C₂²×C₆₁	semidirect
543. #496	C₂²×C₆₁	semidirect
544. #495	C₂²×C₆₁	semidirect
545. #490	C₂²×C₆₁	semidirect
546. #489	C₂²×C₆₁	semidirect
547. #488	C₂²×C₆₁	semidirect
548. #485	C₂²×C₆₁	semidirect
549. #484	C₂²×C₆₁	semidirect
550. #482	C₂²×C₆₁	semidirect
551. #481	C₂²×C₆₁	semidirect
552. #480	C₂²×C₆₁	semidirect
553. #480	C₂²×C₆₁	semidirect
554. #479	C₂²×C₆₁	semidirect
555. #478	C₂²×C₆₁	semidirect
556. #478	C₂²×C₆₁	semidirect
557. #478	C₂²×C₆₁	semidirect
558. #474	C₂²×C₆₁	semidirect
559. #474	C₂²×C₆₁	semidirect
560. #469	C₂²×C₆₁	semidirect
561. #469	C₂²×C₆₁	semidirect
562. #468	C₂²×C₆₁	semidirect
563. #468	C₂²×C₆₁	semidirect
564. #467	C₂²×C₆₁	semidirect
566. #465	C₂²×C₆₁	semidirect
567. #464	C₂²×C₆₁	semidirect
568. #463	C₂²×C₆₁	semidirect
569. #463	C₂²×C₆₁	semidirect
570. #463	C₂²×C₆₁	semidirect
572. #459	C₂²×C₆₁	semidirect
573. #452	C₂²×C₆₁	semidirect
574. #450	C₂²×C₆₁	semidirect
577. #447	C₂²×C₆₁	semidirect
578. #447	C₂²×C₆₁	semidirect
579. #446	C₂²×C₆₁	semidirect
580. #446	C₂²×C₆₁	semidirect
582. #442	C₂²×C₆₁	semidirect
583. #440	C₂²×C₆₁	semidirect
584. #440	C₂²×C₆₁	semidirect
585. C₄×Q₁₆	C₂²×C₆₁	semidirect
586. C₄×SD₁₆	C₂²×C₆₁	semidirect
587. C₄×SD₁₆	C₂²×C₆₁	semidirect
588. C₄×SD₁₆	C₂²×C₆₁	semidirect
591. C₄×D₈	C₂²×C₆₁	semidirect
592. C₄×D₈	C₂²×C₆₁	semidirect
593. C₄×D₈	C₂²×C₆₁	semidirect
594. C₄×D₈	C₂²×C₆₁	semidirect
595. C₄×D₈	C₂²×C₆₁	semidirect
596. C₄×D₈	C₂²×C₆₁	semidirect
597. C₄×D₈	C₂²×C₆₁	semidirect
598. #436	C₂²×C₆₁	semidirect
599. #436	C₂²×C₆₁	semidirect
600. #435	C₂²×C₆₁	semidirect
601. #435	C₂²×C₆₁	semidirect
602. #431	C₂²×C₆₁	semidirect
603. #431	C₂²×C₆₁	semidirect
604. #428	C₂²×C₆₁	semidirect
605. C₂×#107	C₂²×C₆₁	semidirect
606. #418	C₂²×C₆₁	semidirect
607. #417	C₂²×C₆₁	semidirect
608. C₂×#102	C₂²×C₆₁	semidirect
609. C₄×M₁₆	C₂²×C₆₁	semidirect
610. C₂×C₄×C₈	C₂²×C₆₁	semidirect
611. C₆₁	#61444	direct (N × H)
819. D₈	#41×C₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₆₁×#3481	2
C₆₁×#3403	2
C₆₁×#3389	2
C₆₁×#3370	2
C₆₁×#3355	2
C₆₁×#3346	2
C₆₁×#3322	2
C₆₁×#3318	2
C₆₁×#3314	2
C₆₁×#3273	2
C₆₁×#3264	2
C₆₁×#3171	2
C₆₁×#3168	2
C₆₁×#3105	2
C₆₁×#3102	2
C₆₁×#3100	2
C₆₁×#2965	2
C₄×AGL(1,ℤ/8)×C₆₁	2
C₂×C₄×D₈×C₆₁	2
#61444	61

Subgroups — C61×#61444 #29564877

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61444 #29564877