Subgroups — C₆₁×#61552 #29564985

Order 15616.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3515	C₂	1	1	yes	maximal, characteristic
3	C₆₁×#3395	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3356	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3352	C₂	1	2	yes	maximal, complemented
9	C₆₁×#3315	C₂	1	2	yes	maximal, complemented
10	C₆₁×#3312	C₂	1	2	yes	maximal, complemented
11	C₆₁×#3302	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3299	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3276	C₂	1	2	yes	maximal, complemented
15	C₆₁×#3185	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3177	C₂	1	2	yes	maximal, complemented
17	C₆₁×#3127	C₂	1	2	yes	maximal, complemented
18	C₆₁×#3120	C₂	1	2	yes	maximal, complemented
19	C₆₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3104	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#2969	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#2947	C₂	1	2	yes	maximal, complemented
23	C₄×#137×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic
25	C₂×#137×C₆₁	C₂²	1	2	yes	—
26	C₆₁×#557	—	2	1	no	—
27	C₆₁×#557	C₂²	1	1	yes	characteristic
28	C₆₁×#557	C₂²	1	1	yes	characteristic
29	C₆₁×#557	C₂²	1	1	yes	characteristic
30	C₆₁×#556	—	2	1	no	—
31	C₆₁×#556	C₂²	1	1	yes	characteristic
32	C₆₁×#554	C₂²	1	1	yes	characteristic
33	C₆₁×#554	C₂²	1	1	yes	characteristic
34	C₆₁×#553	—	2	1	no	—
35	C₆₁×#552	—	2	2	no	—
36	C₆₁×#552	—	2	2	no	—
37	C₆₁×#552	—	2	1	no	—
38	C₆₁×#552	C₂²	1	2	yes	—
39	C₆₁×#552	C₂²	1	2	yes	—
40	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₆₁	C₂²	1	2	yes	—
42	C₆₁×#547	C₂²	1	1	yes	characteristic
43	C₆₁×#547	C₂²	1	2	yes	—
44	C₆₁×#541	—	2	2	no	—
45	C₆₁×#541	C₂²	1	2	yes	—
46	C₆₁×#541	C₂²	1	2	yes	—
47	C₆₁×#539	—	2	2	no	—
48	C₆₁×#533	—	2	1	no	—
49	C₆₁×#533	C₂²	1	1	yes	characteristic
50	C₆₁×#533	C₂²	1	1	yes	characteristic
51	C₆₁×#529	—	2	1	no	—
52	C₆₁×#529	—	2	1	no	—
53	C₆₁×#529	C₂²	1	1	yes	characteristic
54	C₂×#125×C₆₁	—	2	1	no	—
55	C₆₁×#520	C₂²	1	2	yes	—
56	C₆₁×#519	C₂²	1	2	yes	—
57	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
58	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
59	C₆₁×#499	C₂²	1	2	yes	—
60	C₆₁×#498	C₂²	1	1	yes	characteristic
61	C₆₁×#494	C₂²	1	2	yes	—
62	C₆₁×#494	C₂²	1	1	yes	characteristic
63	C₆₁×#491	C₂²	1	2	yes	—
64	C₆₁×#491	C₂²	1	2	yes	—
65	C₆₁×#487	C₂²	1	1	yes	characteristic
66	C₆₁×#487	C₂²	1	1	yes	characteristic
67	C₆₁×#485	C₂²	1	2	yes	—
68	C₆₁×#485	C₂²	1	2	yes	—
69	C₆₁×#485	C₂²	1	2	yes	—
70	C₆₁×#484	C₂²	1	2	yes	—
71	C₆₁×#484	C₂²	1	2	yes	—
72	C₆₁×#483	C₂²	1	2	yes	—
73	C₆₁×#479	C₂²	1	2	yes	—
74	C₆₁×#479	C₂²	1	2	yes	—
75	C₆₁×#479	C₂²	1	2	yes	—
76	C₆₁×#478	C₂²	1	2	yes	—
77	C₆₁×#477	C₂²	1	1	yes	characteristic
78	C₆₁×#477	C₂²	1	1	yes	characteristic
79	C₆₁×#475	C₂²	1	1	yes	characteristic
80	C₆₁×#474	C₂²	1	1	yes	characteristic
81	C₆₁×#470	C₂²	1	2	yes	—
82	C₆₁×#470	C₂²	1	2	yes	—
83	C₆₁×#470	C₂²	1	2	yes	—
84	C₆₁×#470	C₂²	1	2	yes	—
85	C₆₁×#467	C₂²	1	2	yes	—
86	C₆₁×#467	C₂²	1	2	yes	—
87	C₆₁×#462	C₂²	1	1	yes	characteristic
88	C₆₁×#462	C₂²	1	1	yes	characteristic
89	C₆₁×#462	C₂²	1	2	yes	—
90	C₆₁×#462	C₂²	1	2	yes	—
91	C₆₁×#462	C₂²	1	1	yes	characteristic
92	C₆₁×#462	C₂²	1	2	yes	—
93	C₆₁×#461	C₂²	1	1	yes	characteristic
94	C₆₁×#461	C₂²	1	2	yes	—
95	C₆₁×#452	C₂²	1	2	yes	—
96	C₆₁×#452	C₂²	1	2	yes	—
97	C₆₁×#452	C₂²	1	2	yes	—
98	C₆₁×#451	C₂²	1	2	yes	—
99	C₆₁×#451	C₂²	1	2	yes	—
100	C₆₁×#451	C₂²	1	2	yes	—
101	C₆₁×#446	C₂²	1	1	yes	characteristic
102	C₈×Q₈×C₆₁	C₂²	1	1	yes	characteristic
103	C₆₁×#441	C₂²	1	2	yes	—
104	C₆₁×#441	C₂²	1	2	yes	—
105	C₆₁×#441	C₂²	1	1	yes	characteristic
106	C₆₁×#441	C₂²	1	1	yes	characteristic
107	C₆₁×#441	C₂²	1	2	yes	—
108	C₆₁×#440	C₂²	1	2	yes	—
109	C₆₁×#440	C₂²	1	1	yes	characteristic
110	C₆₁×#440	C₂²	1	1	yes	characteristic
111	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
112	C₄×Q₁₆×C₆₁	C₂²	1	2	yes	—
113	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
114	C₄×Q₁₆×C₆₁	C₂²	1	2	yes	—
115	C₄×Q₁₆×C₆₁	C₂²	1	2	yes	—
116	C₄×Q₁₆×C₆₁	C₂²	1	2	yes	—
117	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₆₁	C₂²	1	2	yes	—
119	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
120	C₄×SD₁₆×C₆₁	C₂²	1	2	yes	—
121	C₆₁×#436	C₂²	1	2	yes	—
122	C₆₁×#436	C₂²	1	1	yes	characteristic
123	C₆₁×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
125	C₆₁×#433	C₂²	1	2	yes	—
126	C₆₁×#431	C₂²	1	1	yes	characteristic
127	C₆₁×#428	C₂²	1	1	yes	characteristic
128	C₆₁×#428	C₂²	1	2	yes	—
129	C₆₁×#419	C₂²	1	1	yes	characteristic
130	C₆₁×#417	C₂²	1	1	yes	characteristic
131	C₆₁×#416	C₂²	1	2	yes	—
132	C₂×#103×C₆₁	C₂²	1	2	yes	—
133	C₆₁×#405	C₂²	1	2	yes	—
134	C₄×M₁₆×C₆₁	C₂²	1	1	yes	characteristic
135	C₂×#41×C₆₁	C₂³	1	2	yes	—
136	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
138	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
139	#137×C₆₁	—	2	4	no	—
140	#137×C₆₁	—	2	8	no	—
141	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
142	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
143	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
144	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
145	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
146	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
148	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
149	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
151	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
152	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
153	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
154	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
155	C₄⋊Q₈×C₆₁	—	2	1	no	—
156	C₄⋊Q₈×C₆₁	—	2	1	no	—
157	C₄⋊Q₈×C₆₁	—	2	2	no	—
158	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
159	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
160	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
161	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
162	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
163	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
164	#126×C₆₁	—	2	2	no	—
165	#126×C₆₁	—	2	2	no	—
166	#126×C₆₁	—	2	2	no	—
167	#126×C₆₁	—	2	2	no	—
168	#126×C₆₁	—	2	2	no	—
169	#126×C₆₁	—	2	2	no	—
170	#126×C₆₁	—	2	2	no	—
171	#126×C₆₁	D₄	1	2	yes	—
172	#125×C₆₁	—	2	2	no	—
173	#125×C₆₁	—	2	2	no	—
174	#125×C₆₁	—	2	2	no	—
175	#125×C₆₁	—	2	2	no	—
176	#125×C₆₁	—	2	2	no	—
177	#125×C₆₁	—	2	2	no	—
178	#125×C₆₁	—	2	2	no	—
179	#125×C₆₁	—	2	2	no	—
180	#125×C₆₁	—	2	2	no	—
181	#125×C₆₁	—	2	1	no	—
182	#125×C₆₁	—	2	1	no	—
183	#125×C₆₁	—	2	1	no	—
184	#125×C₆₁	—	2	1	no	—
185	#125×C₆₁	—	2	1	no	—
186	#125×C₆₁	D₄	1	1	yes	characteristic
187	#125×C₆₁	C₂³	1	2	yes	—
188	#125×C₆₁	C₂³	1	2	yes	—
189	#124×C₆₁	—	2	1	no	—
190	#124×C₆₁	D₄	1	1	yes	characteristic
191	#123×C₆₁	—	2	2	no	—
192	#123×C₆₁	—	2	2	no	—
193	#123×C₆₁	—	2	2	no	—
194	#123×C₆₁	—	2	2	no	—
195	#123×C₆₁	—	2	2	no	—
196	#123×C₆₁	D₄	1	2	yes	—
197	C₂²⋊Q₈×C₆₁	—	2	1	no	—
198	C₂²⋊Q₈×C₆₁	—	2	1	no	—
199	C₂²⋊Q₈×C₆₁	—	2	1	no	—
200	C₂²⋊Q₈×C₆₁	—	2	2	no	—
201	C₂²⋊Q₈×C₆₁	—	2	2	no	—
202	C₂²⋊Q₈×C₆₁	—	2	2	no	—
203	C₂²⋊Q₈×C₆₁	—	2	2	no	—
204	C₂²⋊Q₈×C₆₁	—	2	2	no	—
205	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
206	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
207	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
208	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
209	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
210	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
211	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
212	#121×C₆₁	—	2	2	no	—
213	#121×C₆₁	—	2	1	no	—
214	#121×C₆₁	D₄	1	1	yes	characteristic
215	C₄×Q₈×C₆₁	—	2	1	no	—
216	C₄×Q₈×C₆₁	—	2	1	no	—
217	C₄×Q₈×C₆₁	—	2	2	no	—
218	C₄×Q₈×C₆₁	—	2	1	no	—
219	C₄×Q₈×C₆₁	—	2	2	no	—
220	C₄×Q₈×C₆₁	—	2	1	no	—
221	C₄×Q₈×C₆₁	—	2	1	no	—
222	C₄×Q₈×C₆₁	—	2	1	no	—
223	C₄×Q₈×C₆₁	—	2	1	no	—
224	C₄×Q₈×C₆₁	—	2	1	no	—
225	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
226	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
227	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
231	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
232	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
233	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
235	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₆₁	—	2	2	no	—
238	C₄×D₄×C₆₁	—	2	1	no	—
239	C₄×D₄×C₆₁	—	2	1	no	—
240	C₄×D₄×C₆₁	—	2	1	no	—
241	C₄×D₄×C₆₁	—	2	1	no	—
242	C₄×D₄×C₆₁	—	2	2	no	—
243	C₄×D₄×C₆₁	—	2	2	no	—
244	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₆₁	C₂³	1	2	yes	—
246	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₆₁	C₂³	1	2	yes	—
248	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
249	#117×C₆₁	—	2	1	no	—
250	#117×C₆₁	—	2	1	no	—
251	#117×C₆₁	—	2	2	no	—
252	#117×C₆₁	—	2	2	no	—
253	#117×C₆₁	—	2	2	no	—
254	#117×C₆₁	—	2	2	no	—
255	#117×C₆₁	—	2	2	no	—
256	#117×C₆₁	—	2	1	no	—
257	#117×C₆₁	C₂³	1	1	yes	characteristic
258	#117×C₆₁	C₂³	1	2	yes	—
259	#117×C₆₁	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
261	C₂×C₄⋊C₄×C₆₁	—	2	2	no	—
262	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
263	C₂×C₄⋊C₄×C₆₁	—	2	2	no	—
264	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
265	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
267	C₂×C₄²×C₆₁	—	2	1	no	—
268	C₂×C₄²×C₆₁	—	2	1	no	—
269	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
270	#107×C₆₁	C₂³	1	1	yes	characteristic
271	#107×C₆₁	C₂³	1	2	yes	—
272	#107×C₆₁	C₂³	1	1	yes	characteristic
273	#107×C₆₁	C₂³	1	2	yes	—
274	#107×C₆₁	C₂³	1	2	yes	—
275	#106×C₆₁	C₂³	1	2	yes	—
276	#106×C₆₁	C₂³	1	1	yes	characteristic
277	#106×C₆₁	C₂³	1	2	yes	—
278	#106×C₆₁	C₂³	1	1	yes	characteristic
279	#106×C₆₁	C₂³	1	2	yes	—
280	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
282	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
283	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
284	#103×C₆₁	C₂³	1	1	yes	characteristic
285	#103×C₆₁	C₂³	1	2	yes	—
286	#103×C₆₁	C₂³	1	2	yes	—
287	#103×C₆₁	C₂³	1	2	yes	—
288	#103×C₆₁	C₂³	1	2	yes	—
289	#103×C₆₁	C₂³	1	2	yes	—
290	#103×C₆₁	C₂³	1	1	yes	characteristic
291	#103×C₆₁	C₂³	1	1	yes	characteristic
292	#103×C₆₁	C₂³	1	1	yes	characteristic
293	#103×C₆₁	C₂³	1	1	yes	characteristic
294	#103×C₆₁	C₂³	1	1	yes	characteristic
295	#103×C₆₁	C₂³	1	2	yes	—
296	#103×C₆₁	C₂³	1	2	yes	—
297	#103×C₆₁	C₂³	1	2	yes	—
298	#103×C₆₁	C₂³	1	2	yes	—
299	#103×C₆₁	C₂³	1	2	yes	—
300	#103×C₆₁	C₂³	1	2	yes	—
301	#102×C₆₁	C₂³	1	1	yes	characteristic
302	#102×C₆₁	C₂³	1	2	yes	—
303	#102×C₆₁	C₂³	1	1	yes	characteristic
304	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
305	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
307	#97×C₆₁	C₂³	1	1	yes	characteristic
308	#97×C₆₁	C₂³	1	1	yes	characteristic
309	#97×C₆₁	C₂³	1	2	yes	—
310	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₆₁	C₂³	1	2	yes	—
313	C₄×C₈×C₆₁	C₂³	1	2	yes	—
314	#41×C₆₁	—	2	4	no	—
315	#41×C₆₁	—	2	2	no	—
316	#41×C₆₁	—	4	2	no	—
317	#41×C₆₁	—	4	1	no	—
318	C₂×Q₈×C₆₁	—	2	1	no	—
319	C₂×Q₈×C₆₁	—	2	1	no	—
320	C₂×Q₈×C₆₁	—	2	2	no	—
321	C₂×Q₈×C₆₁	—	2	1	no	—
322	C₂×Q₈×C₆₁	—	2	4	no	—
323	C₂×Q₈×C₆₁	—	2	2	no	—
324	C₂×Q₈×C₆₁	—	4	2	no	—
325	C₂×Q₈×C₆₁	—	4	1	no	—
326	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
328	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₆₁	—	2	2	no	—
333	C₂×D₄×C₆₁	—	2	1	no	—
334	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
335	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
336	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₆₁	—	2	1	no	—
338	C₂²×C₄×C₆₁	—	2	1	no	—
339	C₂²×C₄×C₆₁	—	2	2	no	—
340	C₂²×C₄×C₆₁	—	2	2	no	—
341	C₂²×C₄×C₆₁	—	2	1	no	—
342	C₂²×C₄×C₆₁	—	2	1	no	—
343	C₂²×C₄×C₆₁	—	2	2	no	—
344	C₂²×C₄×C₆₁	—	2	1	no	—
345	C₂²×C₄×C₆₁	—	2	2	no	—
346	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
347	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
350	Q₁₆×C₆₁	—	2	2	no	—
351	Q₁₆×C₆₁	—	2	4	no	—
352	Q₁₆×C₆₁	—	2	2	no	—
353	Q₁₆×C₆₁	—	2	4	no	—
354	Q₁₆×C₆₁	—	4	2	no	—
355	Q₁₆×C₆₁	—	4	2	no	—
356	Q₁₆×C₆₁	—	4	2	no	—
357	SD₁₆×C₆₁	—	2	2	no	—
358	SD₁₆×C₆₁	—	2	4	no	—
359	SD₁₆×C₆₁	#41	1	4	yes	—
360	M₁₆×C₆₁	—	2	2	no	—
361	M₁₆×C₆₁	—	2	4	no	—
362	M₁₆×C₆₁	—	4	1	no	—
363	C₂×C₈×C₆₁	—	4	2	no	—
364	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
365	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
369	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
370	C₄⋊C₄×C₆₁	—	2	2	no	—
371	C₄⋊C₄×C₆₁	—	2	1	no	—
372	C₄⋊C₄×C₆₁	—	2	1	no	—
373	C₄⋊C₄×C₆₁	—	2	1	no	—
374	C₄⋊C₄×C₆₁	—	2	2	no	—
375	C₄⋊C₄×C₆₁	—	2	2	no	—
376	C₄⋊C₄×C₆₁	—	2	2	no	—
377	C₄⋊C₄×C₆₁	—	2	1	no	—
378	C₄⋊C₄×C₆₁	—	2	1	no	—
379	C₄⋊C₄×C₆₁	—	2	1	no	—
380	C₄⋊C₄×C₆₁	—	2	2	no	—
381	C₄⋊C₄×C₆₁	—	2	2	no	—
382	C₄⋊C₄×C₆₁	—	2	2	no	—
383	C₄⋊C₄×C₆₁	—	2	2	no	—
384	C₄⋊C₄×C₆₁	—	2	1	no	—
385	C₄⋊C₄×C₆₁	—	2	1	no	—
386	C₄⋊C₄×C₆₁	—	2	1	no	—
387	C₄⋊C₄×C₆₁	—	2	2	no	—
388	C₄⋊C₄×C₆₁	—	2	2	no	—
389	C₄⋊C₄×C₆₁	—	2	2	no	—
390	C₄⋊C₄×C₆₁	—	2	1	no	—
391	C₄⋊C₄×C₆₁	—	2	2	no	—
392	C₄⋊C₄×C₆₁	—	2	2	no	—
393	C₄⋊C₄×C₆₁	—	2	1	no	—
394	C₄⋊C₄×C₆₁	—	2	2	no	—
395	C₄⋊C₄×C₆₁	—	2	1	no	—
396	C₄⋊C₄×C₆₁	—	2	2	no	—
397	C₄⋊C₄×C₆₁	—	2	2	no	—
398	C₄⋊C₄×C₆₁	—	2	2	no	—
399	C₄⋊C₄×C₆₁	—	2	2	no	—
400	C₄⋊C₄×C₆₁	—	2	1	no	—
401	C₄⋊C₄×C₆₁	—	2	2	no	—
402	C₄⋊C₄×C₆₁	—	2	2	no	—
403	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
405	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
406	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
407	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
408	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
409	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
410	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
411	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
412	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
414	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
415	C₂²⋊C₄×C₆₁	—	2	2	no	—
416	C₂²⋊C₄×C₆₁	—	2	2	no	—
417	C₂²⋊C₄×C₆₁	—	2	2	no	—
418	C₂²⋊C₄×C₆₁	—	2	2	no	—
419	C₂²⋊C₄×C₆₁	—	2	1	no	—
420	C₂²⋊C₄×C₆₁	—	2	2	no	—
421	C₂²⋊C₄×C₆₁	—	2	2	no	—
422	C₂²⋊C₄×C₆₁	—	2	2	no	—
423	C₂²⋊C₄×C₆₁	—	2	1	no	—
424	C₂²⋊C₄×C₆₁	—	2	1	no	—
425	C₂²⋊C₄×C₆₁	—	2	2	no	—
426	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
427	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
428	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
429	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
431	C₄²×C₆₁	—	2	1	no	—
432	C₄²×C₆₁	—	2	1	no	—
433	C₄²×C₆₁	—	2	1	no	—
434	C₄²×C₆₁	—	2	1	no	—
435	C₄²×C₆₁	—	2	1	no	—
436	C₄²×C₆₁	—	2	1	no	—
437	C₄²×C₆₁	—	2	1	no	—
438	C₄²×C₆₁	—	2	2	no	—
439	C₄²×C₆₁	—	2	2	no	—
440	C₄²×C₆₁	—	2	2	no	—
441	C₄²×C₆₁	—	2	2	no	—
442	C₄²×C₆₁	—	2	2	no	—
443	C₄²×C₆₁	—	2	2	no	—
444	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
447	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
448	C₄²×C₆₁	C₂⁴	1	2	yes	—
449	C₂³×C₆₁	—	2	1	no	—
450	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
451	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
452	Q₈×C₆₁	—	2	2	no	—
453	Q₈×C₆₁	—	2	1	no	—
454	Q₈×C₆₁	—	2	2	no	—
455	Q₈×C₆₁	—	2	1	no	—
456	Q₈×C₆₁	—	2	2	no	—
457	Q₈×C₆₁	—	2	1	no	—
458	Q₈×C₆₁	—	2	1	no	—
459	Q₈×C₆₁	—	2	2	no	—
460	Q₈×C₆₁	—	2	1	no	—
461	Q₈×C₆₁	—	2	2	no	—
462	Q₈×C₆₁	—	4	4	no	—
463	Q₈×C₆₁	—	4	2	no	—
464	Q₈×C₆₁	—	4	2	no	—
465	Q₈×C₆₁	—	8	1	no	—
466	Q₈×C₆₁	C₂×#41	1	2	yes	—
467	D₄×C₆₁	—	2	2	no	—
468	D₄×C₆₁	—	2	1	no	—
469	D₄×C₆₁	—	4	2	no	—
470	D₄×C₆₁	—	4	4	no	—
471	D₄×C₆₁	—	4	2	no	—
472	D₄×C₆₁	C₂×#41	1	2	yes	—
473	C₂×C₄×C₆₁	—	2	1	no	—
474	C₂×C₄×C₆₁	—	2	2	no	—
475	C₂×C₄×C₆₁	—	2	1	no	—
476	C₂×C₄×C₆₁	—	2	2	no	—
477	C₂×C₄×C₆₁	—	2	2	no	—
478	C₂×C₄×C₆₁	—	2	1	no	—
479	C₂×C₄×C₆₁	—	2	1	no	—
480	C₂×C₄×C₆₁	—	2	1	no	—
481	C₂×C₄×C₆₁	—	2	2	no	—
482	C₂×C₄×C₆₁	—	2	1	no	—
483	C₂×C₄×C₆₁	—	2	1	no	—
484	C₂×C₄×C₆₁	—	2	1	no	—
485	C₂×C₄×C₆₁	—	2	2	no	—
486	C₂×C₄×C₆₁	—	2	1	no	—
487	C₂×C₄×C₆₁	—	2	2	no	—
488	C₂×C₄×C₆₁	—	2	2	no	—
489	C₂×C₄×C₆₁	—	4	1	no	—
490	C₂×C₄×C₆₁	—	4	2	no	—
491	C₂×C₄×C₆₁	—	4	4	no	—
492	C₂×C₄×C₆₁	—	4	2	no	—
493	C₂×C₄×C₆₁	—	4	4	no	—
494	C₂×C₄×C₆₁	—	4	2	no	—
495	C₂×C₄×C₆₁	—	4	2	no	—
496	C₂×C₄×C₆₁	—	8	1	no	—
497	C₂×C₄×C₆₁	—	8	2	no	—
498	C₂×C₄×C₆₁	—	8	2	no	—
499	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
501	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
502	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
508	C₈×C₆₁	—	2	1	no	—
509	C₈×C₆₁	—	2	2	no	—
510	C₈×C₆₁	—	2	1	no	—
511	C₈×C₆₁	—	2	2	no	—
512	C₈×C₆₁	—	2	1	no	—
513	C₈×C₆₁	C₂×#41	1	2	yes	—
514	#61552	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
515	C₂²×C₆₁	—	2	1	no	—
516	C₂²×C₆₁	—	2	2	no	—
517	C₂²×C₆₁	—	2	2	no	—
518	C₂²×C₆₁	—	2	1	no	—
519	C₂²×C₆₁	—	2	2	no	—
520	C₂²×C₆₁	—	2	1	no	—
521	C₂²×C₆₁	—	2	2	no	—
522	C₂²×C₆₁	—	4	1	no	—
523	C₂²×C₆₁	—	4	1	no	—
524	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
525	C₄×C₆₁	—	2	1	no	—
526	C₄×C₆₁	—	2	1	no	—
527	C₄×C₆₁	—	2	2	no	—
528	C₄×C₆₁	—	2	2	no	—
529	C₄×C₆₁	—	2	1	no	—
530	C₄×C₆₁	—	2	2	no	—
531	C₄×C₆₁	—	2	1	no	—
532	C₄×C₆₁	—	2	2	no	—
533	C₄×C₆₁	—	4	1	no	—
534	C₄×C₆₁	—	4	1	no	—
535	C₄×C₆₁	—	4	1	no	—
536	C₄×C₆₁	—	4	2	no	—
537	C₄×C₆₁	—	4	1	no	—
538	C₄×C₆₁	—	4	2	no	—
539	C₄×C₆₁	—	4	1	no	—
540	C₄×C₆₁	—	4	2	no	—
541	C₄×C₆₁	—	4	1	no	—
542	C₄×C₆₁	—	4	2	no	—
543	C₄×C₆₁	#578	1	2	yes	—
544	C₄×C₆₁	C₂²×#41	1	1	yes	characteristic
545	C₄×C₆₁	#585	1	1	yes	characteristic
546	#3523	C₂×C₆₁	1	1	yes	characteristic, complemented
547	#3515	C₂×C₆₁	1	1	yes	characteristic
548	#3395	C₂×C₆₁	1	1	yes	characteristic, complemented
549	#3381	C₂×C₆₁	1	1	yes	characteristic, complemented
550	#3374	C₂×C₆₁	1	1	yes	characteristic, complemented
551	#3372	C₂×C₆₁	1	1	yes	characteristic, complemented
552	#3356	C₂×C₆₁	1	1	yes	characteristic, complemented
553	#3352	C₂×C₆₁	1	2	yes	complemented
554	#3315	C₂×C₆₁	1	2	yes	complemented
555	#3312	C₂×C₆₁	1	2	yes	complemented
556	#3302	C₂×C₆₁	1	1	yes	characteristic, complemented
557	#3299	C₂×C₆₁	1	1	yes	characteristic, complemented
558	#3276	C₂×C₆₁	1	1	yes	characteristic, complemented
559	#3276	C₂×C₆₁	1	2	yes	complemented
560	#3185	C₂×C₆₁	1	1	yes	characteristic, complemented
561	#3177	C₂×C₆₁	1	2	yes	complemented
562	#3127	C₂×C₆₁	1	2	yes	complemented
563	#3120	C₂×C₆₁	1	2	yes	complemented
564	#3107	C₂×C₆₁	1	1	yes	characteristic, complemented
565	#3104	C₂×C₆₁	1	1	yes	characteristic, complemented
566	#2969	C₂×C₆₁	1	1	yes	characteristic, complemented
567	#2947	C₂×C₆₁	1	2	yes	complemented
568	C₄×#137	C₂×C₆₁	1	1	yes	characteristic, complemented
569	C₂×C₆₁	—	4	1	no	—
570	C₂×C₆₁	—	4	2	no	—
571	C₂×C₆₁	—	4	2	no	—
572	C₂×C₆₁	D₄×#41	1	1	yes	characteristic
573	C₂×C₆₁	C₂×#578	1	1	yes	characteristic
574	C₂×C₆₁	#3586	1	1	yes	characteristic
575	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic
576	C₂×#137	C₂²×C₆₁	1	2	yes	—
577	#557	—	2	1	no	—
578	#557	C₂²×C₆₁	1	1	yes	characteristic
579	#557	C₂²×C₆₁	1	1	yes	characteristic
580	#557	C₂²×C₆₁	1	1	yes	characteristic
581	#556	—	2	1	no	—
582	#556	C₂²×C₆₁	1	1	yes	characteristic
583	#554	C₂²×C₆₁	1	1	yes	characteristic
584	#554	C₂²×C₆₁	1	1	yes	characteristic
585	#553	—	2	1	no	—
586	#552	—	2	2	no	—
587	#552	—	2	2	no	—
588	#552	—	2	1	no	—
589	#552	C₂²×C₆₁	1	2	yes	—
590	#552	C₂²×C₆₁	1	2	yes	—
591	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
592	D₄×Q₈	C₂²×C₆₁	1	2	yes	—
593	#547	C₂²×C₆₁	1	1	yes	characteristic
594	#547	C₂²×C₆₁	1	2	yes	—
595	#541	—	2	2	no	—
596	#541	C₂²×C₆₁	1	2	yes	—
597	#541	C₂²×C₆₁	1	2	yes	—
598	#539	—	2	2	no	—
599	#533	—	2	1	no	—
600	#533	C₂²×C₆₁	1	1	yes	characteristic
601	#533	C₂²×C₆₁	1	1	yes	characteristic
602	#529	—	2	1	no	—
603	#529	—	2	1	no	—
604	#529	C₂²×C₆₁	1	1	yes	characteristic
605	C₂×#125	—	2	1	no	—
606	#520	C₂²×C₆₁	1	2	yes	—
607	#519	C₂²×C₆₁	1	2	yes	—
608	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
609	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
610	#499	C₂²×C₆₁	1	2	yes	—
611	#498	C₂²×C₆₁	1	1	yes	characteristic
612	#494	C₂²×C₆₁	1	2	yes	—
613	#494	C₂²×C₆₁	1	1	yes	characteristic
614	#491	C₂²×C₆₁	1	2	yes	—
615	#491	C₂²×C₆₁	1	2	yes	—
616	#487	C₂²×C₆₁	1	1	yes	characteristic
617	#487	C₂²×C₆₁	1	1	yes	characteristic
618	#485	C₂²×C₆₁	1	2	yes	—
619	#485	C₂²×C₆₁	1	2	yes	—
620	#485	C₂²×C₆₁	1	2	yes	—
621	#484	C₂²×C₆₁	1	2	yes	—
622	#484	C₂²×C₆₁	1	2	yes	—
623	#483	C₂²×C₆₁	1	2	yes	—
624	#479	C₂²×C₆₁	1	2	yes	—
625	#479	C₂²×C₆₁	1	2	yes	—
626	#479	C₂²×C₆₁	1	2	yes	—
627	#478	C₂²×C₆₁	1	2	yes	—
628	#477	C₂²×C₆₁	1	1	yes	characteristic
629	#477	C₂²×C₆₁	1	1	yes	characteristic
630	#475	C₂²×C₆₁	1	1	yes	characteristic
631	#474	C₂²×C₆₁	1	1	yes	characteristic
632	#470	C₂²×C₆₁	1	2	yes	—
633	#470	C₂²×C₆₁	1	2	yes	—
634	#470	C₂²×C₆₁	1	2	yes	—
635	#470	C₂²×C₆₁	1	2	yes	—
636	#467	C₂²×C₆₁	1	2	yes	—
637	#467	C₂²×C₆₁	1	2	yes	—
638	#462	C₂²×C₆₁	1	1	yes	characteristic
639	#462	C₂²×C₆₁	1	1	yes	characteristic
640	#462	C₂²×C₆₁	1	1	yes	characteristic
641	#462	C₂²×C₆₁	1	2	yes	—
642	#462	C₂²×C₆₁	1	2	yes	—
643	#462	C₂²×C₆₁	1	2	yes	—
644	#461	C₂²×C₆₁	1	1	yes	characteristic
645	#461	C₂²×C₆₁	1	2	yes	—
646	#452	C₂²×C₆₁	1	2	yes	—
647	#452	C₂²×C₆₁	1	2	yes	—
648	#452	C₂²×C₆₁	1	2	yes	—
649	#451	C₂²×C₆₁	1	2	yes	—
650	#451	C₂²×C₆₁	1	2	yes	—
651	#451	C₂²×C₆₁	1	2	yes	—
652	#446	C₂²×C₆₁	1	1	yes	characteristic
653	C₈×Q₈	C₂²×C₆₁	1	1	yes	characteristic
654	#441	C₂²×C₆₁	1	2	yes	—
655	#441	C₂²×C₆₁	1	2	yes	—
656	#441	C₂²×C₆₁	1	1	yes	characteristic
657	#441	C₂²×C₆₁	1	1	yes	characteristic
658	#441	C₂²×C₆₁	1	2	yes	—
659	#440	C₂²×C₆₁	1	2	yes	—
660	#440	C₂²×C₆₁	1	1	yes	characteristic
661	#440	C₂²×C₆₁	1	1	yes	characteristic
662	C₄×Q₁₆	C₂²×C₆₁	1	2	yes	—
663	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
664	C₄×Q₁₆	C₂²×C₆₁	1	2	yes	—
665	C₄×Q₁₆	C₂²×C₆₁	1	2	yes	—
666	C₄×Q₁₆	C₂²×C₆₁	1	2	yes	—
667	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
668	C₄×SD₁₆	C₂²×C₆₁	1	2	yes	—
669	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
670	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
671	C₄×SD₁₆	C₂²×C₆₁	1	2	yes	—
672	#436	C₂²×C₆₁	1	2	yes	—
673	#436	C₂²×C₆₁	1	1	yes	characteristic
674	#435	C₂²×C₆₁	1	2	yes	—
675	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
676	#433	C₂²×C₆₁	1	2	yes	—
677	#431	C₂²×C₆₁	1	1	yes	characteristic
678	#428	C₂²×C₆₁	1	1	yes	characteristic
679	#428	C₂²×C₆₁	1	2	yes	—
680	#419	C₂²×C₆₁	1	1	yes	characteristic
681	#417	C₂²×C₆₁	1	1	yes	characteristic
682	#416	C₂²×C₆₁	1	2	yes	—
683	C₂×#103	C₂²×C₆₁	1	2	yes	—
684	#405	C₂²×C₆₁	1	2	yes	—
685	C₄×M₁₆	C₂²×C₆₁	1	1	yes	characteristic
686	C₆₁	#61552	1	1	yes	characteristic, direct product factor, Sylow
687	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
688	C₂×#41	C₂³×C₆₁	1	2	yes	—
689	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
690	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
691	#137	—	2	4	no	—
692	#137	—	2	8	no	—
693	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
694	C₂×Q₁₆	C₂³×C₆₁	1	2	yes	—
695	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
696	C₂×Q₁₆	C₂³×C₆₁	1	2	yes	—
697	C₂×Q₁₆	C₂³×C₆₁	1	2	yes	—
698	C₂×Q₁₆	C₂³×C₆₁	1	2	yes	—
699	C₂×Q₁₆	C₂³×C₆₁	1	2	yes	—
700	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
701	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
703	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
704	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
705	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
706	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
707	C₄⋊Q₈	—	2	1	no	—
708	C₄⋊Q₈	—	2	1	no	—
709	C₄⋊Q₈	—	2	2	no	—
710	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
711	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
712	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
713	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
714	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
715	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
716	#126	—	2	2	no	—
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#126	—	2	2	no	—
723	#126	D₄×C₆₁	1	2	yes	—
724	#125	—	2	2	no	—
725	#125	—	2	2	no	—
726	#125	—	2	1	no	—
727	#125	—	2	1	no	—
728	#125	—	2	1	no	—
729	#125	—	2	2	no	—
730	#125	—	2	2	no	—
731	#125	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	2	no	—
735	#125	—	2	2	no	—
736	#125	—	2	1	no	—
737	#125	—	2	1	no	—
738	#125	D₄×C₆₁	1	1	yes	characteristic
739	#125	C₂³×C₆₁	1	2	yes	—
740	#125	C₂³×C₆₁	1	2	yes	—
741	#124	—	2	1	no	—
742	#124	D₄×C₆₁	1	1	yes	characteristic
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	D₄×C₆₁	1	2	yes	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
758	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
759	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
760	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
761	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
762	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
763	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
764	#121	—	2	1	no	—
765	#121	—	2	2	no	—
766	#121	D₄×C₆₁	1	1	yes	characteristic
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	2	2	no	—
770	C₄×Q₈	—	2	2	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
778	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
779	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
783	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
784	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
785	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
786	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
787	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
788	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
797	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
798	C₄×D₄	C₂³×C₆₁	1	2	yes	—
799	C₄×D₄	C₂³×C₆₁	1	2	yes	—
800	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
801	#117	—	2	1	no	—
802	#117	—	2	1	no	—
803	#117	—	2	2	no	—
804	#117	—	2	2	no	—
805	#117	—	2	2	no	—
806	#117	—	2	2	no	—
807	#117	—	2	2	no	—
808	#117	—	2	1	no	—
809	#117	C₂³×C₆₁	1	1	yes	characteristic
810	#117	C₂³×C₆₁	1	2	yes	—
811	#117	C₂³×C₆₁	1	2	yes	—
812	C₂×C₄⋊C₄	—	2	1	no	—
813	C₂×C₄⋊C₄	—	2	2	no	—
814	C₂×C₄⋊C₄	—	2	1	no	—
815	C₂×C₄⋊C₄	—	2	2	no	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
819	C₂×C₄²	—	2	1	no	—
820	C₂×C₄²	—	2	1	no	—
821	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
822	#107	C₂³×C₆₁	1	1	yes	characteristic
823	#107	C₂³×C₆₁	1	2	yes	—
824	#107	C₂³×C₆₁	1	1	yes	characteristic
825	#107	C₂³×C₆₁	1	2	yes	—
826	#107	C₂³×C₆₁	1	2	yes	—
827	#106	C₂³×C₆₁	1	2	yes	—
828	#106	C₂³×C₆₁	1	1	yes	characteristic
829	#106	C₂³×C₆₁	1	2	yes	—
830	#106	C₂³×C₆₁	1	1	yes	characteristic
831	#106	C₂³×C₆₁	1	2	yes	—
832	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
833	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
834	C₄⋊C₈	C₂³×C₆₁	1	2	yes	—
835	C₄⋊C₈	C₂³×C₆₁	1	2	yes	—
836	#103	C₂³×C₆₁	1	1	yes	characteristic
837	#103	C₂³×C₆₁	1	2	yes	—
838	#103	C₂³×C₆₁	1	2	yes	—
839	#103	C₂³×C₆₁	1	2	yes	—
840	#103	C₂³×C₆₁	1	2	yes	—
841	#103	C₂³×C₆₁	1	2	yes	—
842	#103	C₂³×C₆₁	1	1	yes	characteristic
843	#103	C₂³×C₆₁	1	1	yes	characteristic
844	#103	C₂³×C₆₁	1	1	yes	characteristic
845	#103	C₂³×C₆₁	1	1	yes	characteristic
846	#103	C₂³×C₆₁	1	1	yes	characteristic
847	#103	C₂³×C₆₁	1	2	yes	—
848	#103	C₂³×C₆₁	1	2	yes	—
849	#103	C₂³×C₆₁	1	2	yes	—
850	#103	C₂³×C₆₁	1	2	yes	—
851	#103	C₂³×C₆₁	1	2	yes	—
852	#103	C₂³×C₆₁	1	2	yes	—
853	#102	C₂³×C₆₁	1	1	yes	characteristic
854	#102	C₂³×C₆₁	1	2	yes	—
855	#102	C₂³×C₆₁	1	1	yes	characteristic
856	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
857	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
858	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
859	#97	C₂³×C₆₁	1	1	yes	characteristic
860	#97	C₂³×C₆₁	1	1	yes	characteristic
861	#97	C₂³×C₆₁	1	2	yes	—
862	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
863	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
864	C₄×C₈	C₂³×C₆₁	1	2	yes	—
865	C₄×C₈	C₂³×C₆₁	1	2	yes	—
866	#41	—	2	2	no	—
867	#41	—	2	4	no	—
868	#41	—	4	2	no	—
869	#41	—	4	1	no	—
870	C₂×Q₈	—	2	1	no	—
871	C₂×Q₈	—	2	1	no	—
872	C₂×Q₈	—	2	2	no	—
873	C₂×Q₈	—	2	1	no	—
874	C₂×Q₈	—	2	2	no	—
875	C₂×Q₈	—	2	4	no	—
876	C₂×Q₈	—	4	2	no	—
877	C₂×Q₈	—	4	1	no	—
878	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
879	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
880	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
881	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
882	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
883	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	1	no	—
886	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
887	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
888	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
899	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
900	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
901	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
902	Q₁₆	—	2	2	no	—
903	Q₁₆	—	2	4	no	—
904	Q₁₆	—	2	2	no	—
905	Q₁₆	—	2	4	no	—
906	Q₁₆	—	4	2	no	—
907	Q₁₆	—	4	2	no	—
908	Q₁₆	—	4	2	no	—
909	SD₁₆	—	2	2	no	—
910	SD₁₆	—	2	4	no	—
911	SD₁₆	#41×C₆₁	1	4	yes	—
912	M₁₆	—	2	2	no	—
913	M₁₆	—	2	4	no	—
914	M₁₆	—	4	1	no	—
915	C₂×C₈	—	4	2	no	—
916	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
917	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
918	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
919	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
921	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
956	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
957	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
958	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
959	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
960	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
961	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
962	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
963	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
979	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
981	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
982	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	1	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	2	no	—
994	C₄²	—	2	2	no	—
995	C₄²	—	2	2	no	—
996	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
997	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
998	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
999	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1000	C₄²	C₂⁴×C₆₁	1	2	yes	—
1001	C₂³	—	2	1	no	—
1002	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
1003	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1004	Q₈	—	2	2	no	—
1005	Q₈	—	2	1	no	—
1006	Q₈	—	2	1	no	—
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	1	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	4	4	no	—
1015	Q₈	—	4	2	no	—
1016	Q₈	—	4	2	no	—
1017	Q₈	—	8	1	no	—
1018	Q₈	C₂×#41×C₆₁	1	2	yes	—
1019	D₄	—	2	2	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	4	2	no	—
1022	D₄	—	4	4	no	—
1023	D₄	—	4	2	no	—
1024	D₄	C₂×#41×C₆₁	1	2	yes	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	4	1	no	—
1042	C₂×C₄	—	4	2	no	—
1043	C₂×C₄	—	4	4	no	—
1044	C₂×C₄	—	4	2	no	—
1045	C₂×C₄	—	4	4	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	4	2	no	—
1048	C₂×C₄	—	8	1	no	—
1049	C₂×C₄	—	8	2	no	—
1050	C₂×C₄	—	8	2	no	—
1051	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1052	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1054	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1055	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1056	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1057	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1058	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1059	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1060	C₈	—	2	1	no	—
1061	C₈	—	2	2	no	—
1062	C₈	—	2	1	no	—
1063	C₈	—	2	2	no	—
1064	C₈	—	2	1	no	—
1065	C₈	C₂×#41×C₆₁	1	2	yes	—
1066	C₂²	—	2	1	no	—
1067	C₂²	—	2	2	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	2	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	2	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1076	C₄	—	2	1	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	1	no	—
1079	C₄	—	2	1	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	2	2	no	—
1082	C₄	—	2	1	no	—
1083	C₄	—	2	2	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	1	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	2	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	C₆₁×#578	1	2	yes	—
1095	C₄	C₂²×#41×C₆₁	1	1	yes	characteristic
1096	C₄	C₆₁×#585	1	1	yes	characteristic
1097	C₂	—	4	1	no	—
1098	C₂	—	4	2	no	—
1099	C₂	—	4	2	no	—
1100	C₂	D₄×#41×C₆₁	1	1	yes	characteristic
1101	C₂	C₂×C₆₁×#578	1	1	yes	characteristic
1102	C₂	C₆₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
prime radical	C₆₁×#3515	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ C₆₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3523	C₂	semidirect
3. C₆₁×#3395	C₂	semidirect
4. C₆₁×#3381	C₂	semidirect
5. C₆₁×#3374	C₂	semidirect
6. C₆₁×#3372	C₂	semidirect
7. C₆₁×#3356	C₂	semidirect
8. C₆₁×#3352	C₂	semidirect
9. C₆₁×#3315	C₂	semidirect
10. C₆₁×#3312	C₂	semidirect
11. C₆₁×#3302	C₂	semidirect
12. C₆₁×#3299	C₂	semidirect
13. C₆₁×#3276	C₂	semidirect
14. C₆₁×#3276	C₂	semidirect
15. C₆₁×#3185	C₂	semidirect
16. C₆₁×#3177	C₂	semidirect
17. C₆₁×#3127	C₂	semidirect
18. C₆₁×#3120	C₂	semidirect
19. C₆₁×#3107	C₂	semidirect
20. C₆₁×#3104	C₂	semidirect
21. C₆₁×#2969	C₂	semidirect
22. C₆₁×#2947	C₂	semidirect
23. C₄×#137×C₆₁	C₂	semidirect
514. #61552	C₆₁	direct (N × H)
546. #3523	C₂×C₆₁	semidirect
548. #3395	C₂×C₆₁	semidirect
549. #3381	C₂×C₆₁	semidirect
550. #3374	C₂×C₆₁	semidirect
551. #3372	C₂×C₆₁	semidirect
552. #3356	C₂×C₆₁	semidirect
553. #3352	C₂×C₆₁	semidirect
554. #3315	C₂×C₆₁	semidirect
555. #3312	C₂×C₆₁	semidirect
556. #3302	C₂×C₆₁	semidirect
557. #3299	C₂×C₆₁	semidirect
558. #3276	C₂×C₆₁	semidirect
559. #3276	C₂×C₆₁	semidirect
560. #3185	C₂×C₆₁	semidirect
561. #3177	C₂×C₆₁	semidirect
562. #3127	C₂×C₆₁	semidirect
563. #3120	C₂×C₆₁	semidirect
564. #3107	C₂×C₆₁	semidirect
565. #3104	C₂×C₆₁	semidirect
566. #2969	C₂×C₆₁	semidirect
567. #2947	C₂×C₆₁	semidirect
568. C₄×#137	C₂×C₆₁	semidirect
686. C₆₁	#61552	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×#3523	2
C₆₁×#3515	2
C₆₁×#3395	2
C₆₁×#3381	2
C₆₁×#3374	2
C₆₁×#3372	2
C₆₁×#3356	2
C₆₁×#3352	2
C₆₁×#3315	2
C₆₁×#3312	2
C₆₁×#3302	2
C₆₁×#3299	2
C₆₁×#3276	2
C₆₁×#3185	2
C₆₁×#3177	2
C₆₁×#3127	2
C₆₁×#3120	2
C₆₁×#3107	2
C₆₁×#3104	2
C₆₁×#2969	2
C₆₁×#2947	2
C₄×#137×C₆₁	2
#61552	61

Subgroups — C61×#61552 #29564985

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61552 #29564985