Subgroups — C₆₁×#61812 #29565245

Order 15616.

1724 conjugacy classes of subgroups.

The subgroup lattice has 1130 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3511	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3356	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3354	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3348	C₂	1	2	yes	maximal, complemented
6	C₆₁×#3344	C₂	1	2	yes	maximal, complemented
7	C₆₁×#3340	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3330	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3328	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3321	C₂	1	2	yes	maximal, complemented
12	C₆₁×#3316	C₂	1	2	yes	maximal, complemented
13	C₆₁×#3302	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3239	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3229	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3204	C₂	1	2	yes	maximal, complemented
18	C₆₁×#3201	C₂	1	2	yes	maximal, complemented
19	C₆₁×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3099	C₂	1	2	yes	maximal, complemented
22	C₆₁×#3097	C₂	1	2	yes	maximal, complemented
23	C₆₁×#2981	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#562	—	2	2	no	—
25	C₆₁×#556	C₂²	1	1	yes	characteristic
26	C₆₁×#556	C₂²	1	1	yes	characteristic
27	C₆₁×#555	—	2	1	no	—
28	C₆₁×#555	C₂²	1	1	yes	characteristic
29	C₆₁×#555	C₂²	1	2	yes	—
30	C₆₁×#554	C₂²	1	1	yes	characteristic
31	C₆₁×#554	C₂²	1	2	yes	—
32	C₆₁×#553	—	2	1	no	—
33	C₆₁×#553	—	2	2	no	—
34	C₆₁×#552	C₂²	1	2	yes	—
35	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
36	C₆₁×#548	—	2	1	no	—
37	C₆₁×#548	—	2	1	no	—
38	C₆₁×#548	C₂²	1	2	yes	—
39	C₆₁×#547	C₂²	1	1	yes	characteristic
40	C₆₁×#547	C₂²	1	1	yes	characteristic
41	C₆₁×#547	C₂²	1	1	yes	characteristic
42	C₆₁×#544	—	2	1	no	—
43	C₆₁×#542	—	2	2	no	—
44	C₆₁×#542	—	2	2	no	—
45	C₆₁×#540	—	2	1	no	—
46	C₆₁×#537	C₂²	1	2	yes	—
47	C₆₁×#537	C₂²	1	2	yes	—
48	C₆₁×#536	C₂²	1	2	yes	—
49	C₆₁×#533	—	2	1	no	—
50	C₆₁×#533	C₂²	1	1	yes	characteristic
51	C₆₁×#532	—	2	1	no	—
52	C₆₁×#532	C₂²	1	1	yes	characteristic
53	C₂×C₄⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
54	C₆₁×#529	C₂²	1	1	yes	characteristic
55	C₆₁×#520	C₂²	1	2	yes	—
56	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
57	C₆₁×#501	C₂²	1	2	yes	—
58	C₆₁×#498	C₂²	1	1	yes	characteristic
59	C₆₁×#498	C₂²	1	1	yes	characteristic
60	C₆₁×#489	C₂²	1	2	yes	—
61	C₆₁×#487	C₂²	1	1	yes	characteristic
62	C₆₁×#487	C₂²	1	1	yes	characteristic
63	C₆₁×#485	C₂²	1	2	yes	—
64	C₆₁×#485	C₂²	1	2	yes	—
65	C₆₁×#485	C₂²	1	2	yes	—
66	C₆₁×#485	C₂²	1	2	yes	—
67	C₆₁×#485	C₂²	1	1	yes	characteristic
68	C₆₁×#485	C₂²	1	2	yes	—
69	C₆₁×#484	C₂²	1	2	yes	—
70	C₆₁×#484	C₂²	1	2	yes	—
71	C₆₁×#483	C₂²	1	2	yes	—
72	C₆₁×#483	C₂²	1	2	yes	—
73	C₆₁×#483	C₂²	1	2	yes	—
74	C₆₁×#483	C₂²	1	2	yes	—
75	C₆₁×#483	C₂²	1	2	yes	—
76	C₆₁×#482	C₂²	1	2	yes	—
77	C₆₁×#482	C₂²	1	2	yes	—
78	C₆₁×#482	C₂²	1	1	yes	characteristic
79	C₆₁×#481	C₂²	1	2	yes	—
80	C₆₁×#481	C₂²	1	2	yes	—
81	C₆₁×#481	C₂²	1	2	yes	—
82	C₆₁×#479	C₂²	1	1	yes	characteristic
83	C₆₁×#478	C₂²	1	1	yes	characteristic
84	C₆₁×#477	C₂²	1	1	yes	characteristic
85	C₆₁×#476	C₂²	1	1	yes	characteristic
86	C₆₁×#475	C₂²	1	1	yes	characteristic
87	C₆₁×#475	C₂²	1	2	yes	—
88	C₆₁×#475	C₂²	1	2	yes	—
89	C₆₁×#475	C₂²	1	1	yes	characteristic
90	C₆₁×#474	C₂²	1	1	yes	characteristic
91	C₆₁×#474	C₂²	1	1	yes	characteristic
92	C₆₁×#470	C₂²	1	2	yes	—
93	C₆₁×#470	C₂²	1	2	yes	—
94	C₆₁×#469	C₂²	1	2	yes	—
95	C₆₁×#468	C₂²	1	2	yes	—
96	C₆₁×#467	C₂²	1	2	yes	—
97	C₆₁×#465	C₂²	1	2	yes	—
98	C₆₁×#465	C₂²	1	2	yes	—
99	C₆₁×#465	C₂²	1	2	yes	—
100	C₆₁×#464	C₂²	1	1	yes	characteristic
101	C₆₁×#463	C₂²	1	1	yes	characteristic
102	C₆₁×#462	C₂²	1	1	yes	characteristic
103	C₆₁×#461	C₂²	1	1	yes	characteristic
104	C₆₁×#452	C₂²	1	2	yes	—
105	C₆₁×#452	C₂²	1	1	yes	characteristic
106	C₆₁×#452	C₂²	1	2	yes	—
107	C₆₁×#451	C₂²	1	2	yes	—
108	C₆₁×#449	C₂²	1	2	yes	—
109	C₆₁×#449	C₂²	1	1	yes	characteristic
110	C₆₁×#448	C₂²	1	2	yes	—
111	C₆₁×#441	C₂²	1	2	yes	—
112	C₆₁×#440	C₂²	1	2	yes	—
113	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
114	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
115	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
116	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
117	C₆₁×#436	C₂²	1	1	yes	characteristic
118	C₆₁×#436	C₂²	1	1	yes	characteristic
119	C₆₁×#435	C₂²	1	2	yes	—
120	C₆₁×#435	C₂²	1	2	yes	—
121	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
122	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
123	C₆₁×#432	C₂²	1	1	yes	characteristic
124	C₆₁×#431	C₂²	1	1	yes	characteristic
125	C₆₁×#428	C₂²	1	2	yes	—
126	C₆₁×#428	C₂²	1	2	yes	—
127	C₆₁×#427	C₂²	1	2	yes	—
128	C₂×#106×C₆₁	C₂²	1	2	yes	—
129	C₆₁×#419	C₂²	1	2	yes	—
130	C₆₁×#417	C₂²	1	2	yes	—
131	C₆₁×#416	C₂²	1	2	yes	—
132	C₂×#103×C₆₁	C₂²	1	2	yes	—
133	C₆₁×#408	C₂²	1	2	yes	—
134	C₆₁×#408	C₂²	1	2	yes	—
135	C₂×#41×C₆₁	—	2	1	no	—
136	C₂×#41×C₆₁	—	2	1	no	—
137	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
138	C₂×#41×C₆₁	C₂³	1	2	yes	—
139	C₂×#41×C₆₁	C₂³	1	2	yes	—
140	C₂²×Q₈×C₆₁	—	2	1	no	—
141	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
142	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
143	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
144	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
146	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
147	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
148	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
149	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
150	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
151	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
152	C₄⋊Q₈×C₆₁	—	2	2	no	—
153	C₄⋊Q₈×C₆₁	—	2	1	no	—
154	C₄⋊Q₈×C₆₁	—	2	1	no	—
155	C₄⋊Q₈×C₆₁	—	2	1	no	—
156	C₄⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
157	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
162	#127×C₆₁	D₄	1	1	yes	characteristic
163	#126×C₆₁	—	2	2	no	—
164	#126×C₆₁	—	2	2	no	—
165	#126×C₆₁	—	2	2	no	—
166	#126×C₆₁	—	2	1	no	—
167	#125×C₆₁	—	2	2	no	—
168	#125×C₆₁	—	2	2	no	—
169	#125×C₆₁	—	2	1	no	—
170	#125×C₆₁	—	2	1	no	—
171	#125×C₆₁	C₂³	1	1	yes	characteristic
172	#124×C₆₁	—	2	1	no	—
173	#124×C₆₁	—	2	1	no	—
174	#124×C₆₁	—	2	2	no	—
175	#124×C₆₁	—	2	2	no	—
176	#124×C₆₁	—	2	2	no	—
177	#124×C₆₁	—	2	2	no	—
178	#124×C₆₁	—	2	2	no	—
179	#124×C₆₁	D₄	1	2	yes	—
180	#124×C₆₁	C₂³	1	1	yes	characteristic
181	#123×C₆₁	—	2	2	no	—
182	#123×C₆₁	—	2	2	no	—
183	#123×C₆₁	—	2	2	no	—
184	#123×C₆₁	—	2	1	no	—
185	#123×C₆₁	—	2	2	no	—
186	#123×C₆₁	—	2	2	no	—
187	#123×C₆₁	—	2	2	no	—
188	C₂²⋊Q₈×C₆₁	—	2	2	no	—
189	C₂²⋊Q₈×C₆₁	—	2	2	no	—
190	C₂²⋊Q₈×C₆₁	—	2	1	no	—
191	C₂²⋊Q₈×C₆₁	—	2	1	no	—
192	C₂²⋊Q₈×C₆₁	—	2	1	no	—
193	C₂²⋊Q₈×C₆₁	—	2	2	no	—
194	C₂²⋊Q₈×C₆₁	—	2	2	no	—
195	C₂²⋊Q₈×C₆₁	—	2	2	no	—
196	C₂²⋊Q₈×C₆₁	—	2	2	no	—
197	C₂²⋊Q₈×C₆₁	—	2	2	no	—
198	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
199	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
200	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
201	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
202	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
203	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
204	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
205	#121×C₆₁	—	2	2	no	—
206	#121×C₆₁	—	2	2	no	—
207	#121×C₆₁	—	2	2	no	—
208	#121×C₆₁	—	2	2	no	—
209	#121×C₆₁	—	2	2	no	—
210	#121×C₆₁	—	2	2	no	—
211	#121×C₆₁	—	2	2	no	—
212	#121×C₆₁	—	2	1	no	—
213	#121×C₆₁	—	2	2	no	—
214	#121×C₆₁	—	2	1	no	—
215	#121×C₆₁	D₄	1	1	yes	characteristic
216	#121×C₆₁	D₄	1	1	yes	characteristic
217	#121×C₆₁	D₄	1	2	yes	—
218	#121×C₆₁	C₂³	1	1	yes	characteristic
219	#121×C₆₁	C₂³	1	2	yes	—
220	#121×C₆₁	C₂³	1	2	yes	—
221	#121×C₆₁	C₂³	1	2	yes	—
222	C₄×Q₈×C₆₁	—	2	2	no	—
223	C₄×Q₈×C₆₁	—	2	1	no	—
224	C₄×Q₈×C₆₁	—	2	1	no	—
225	C₄×Q₈×C₆₁	—	2	1	no	—
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×D₄×C₆₁	—	2	2	no	—
231	C₄×D₄×C₆₁	—	2	2	no	—
232	C₄×D₄×C₆₁	—	2	1	no	—
233	C₄×D₄×C₆₁	—	2	1	no	—
234	C₄×D₄×C₆₁	—	2	2	no	—
235	C₄×D₄×C₆₁	—	2	2	no	—
236	C₄×D₄×C₆₁	—	2	1	no	—
237	C₄×D₄×C₆₁	—	2	1	no	—
238	C₄×D₄×C₆₁	—	2	1	no	—
239	C₄×D₄×C₆₁	—	2	2	no	—
240	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₆₁	C₂³	1	2	yes	—
246	#117×C₆₁	—	2	1	no	—
247	#117×C₆₁	—	2	2	no	—
248	#117×C₆₁	—	2	1	no	—
249	#117×C₆₁	—	2	2	no	—
250	#117×C₆₁	—	2	1	no	—
251	#117×C₆₁	—	2	1	no	—
252	#117×C₆₁	C₂³	1	2	yes	—
253	#117×C₆₁	C₂³	1	2	yes	—
254	#117×C₆₁	C₂³	1	2	yes	—
255	#117×C₆₁	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
257	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
258	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
259	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
262	C₂×C₄²×C₆₁	—	2	1	no	—
263	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
264	#107×C₆₁	C₂³	1	2	yes	—
265	#107×C₆₁	C₂³	1	2	yes	—
266	#107×C₆₁	C₂³	1	1	yes	characteristic
267	#107×C₆₁	C₂³	1	1	yes	characteristic
268	#107×C₆₁	C₂³	1	2	yes	—
269	#106×C₆₁	C₂³	1	1	yes	characteristic
270	#106×C₆₁	C₂³	1	2	yes	—
271	#106×C₆₁	C₂³	1	2	yes	—
272	#106×C₆₁	C₂³	1	2	yes	—
273	#106×C₆₁	C₂³	1	1	yes	characteristic
274	#106×C₆₁	C₂³	1	2	yes	—
275	#106×C₆₁	C₂³	1	2	yes	—
276	#106×C₆₁	C₂³	1	2	yes	—
277	#106×C₆₁	C₂³	1	2	yes	—
278	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
279	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
280	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
282	#103×C₆₁	C₂³	1	1	yes	characteristic
283	#103×C₆₁	C₂³	1	2	yes	—
284	#103×C₆₁	C₂³	1	2	yes	—
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	1	yes	characteristic
290	#103×C₆₁	C₂³	1	2	yes	—
291	#103×C₆₁	C₂³	1	2	yes	—
292	#103×C₆₁	C₂³	1	1	yes	characteristic
293	#103×C₆₁	C₂³	1	1	yes	characteristic
294	#103×C₆₁	C₂³	1	2	yes	—
295	#102×C₆₁	C₂³	1	1	yes	characteristic
296	#102×C₆₁	C₂³	1	2	yes	—
297	#102×C₆₁	C₂³	1	1	yes	characteristic
298	#102×C₆₁	C₂³	1	2	yes	—
299	#102×C₆₁	C₂³	1	1	yes	characteristic
300	#102×C₆₁	C₂³	1	1	yes	characteristic
301	#102×C₆₁	C₂³	1	2	yes	—
302	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
303	C₂²⋊C₈×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	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
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	#41×C₆₁	—	4	2	no	—
313	#41×C₆₁	—	4	2	no	—
314	#41×C₆₁	—	4	1	no	—
315	#41×C₆₁	—	4	1	no	—
316	#41×C₆₁	—	4	2	no	—
317	#41×C₆₁	—	4	2	no	—
318	#41×C₆₁	—	8	2	no	—
319	#41×C₆₁	—	8	2	no	—
320	C₂×Q₈×C₆₁	—	2	1	no	—
321	C₂×Q₈×C₆₁	—	2	1	no	—
322	C₂×Q₈×C₆₁	—	2	1	no	—
323	C₂×Q₈×C₆₁	—	2	2	no	—
324	C₂×Q₈×C₆₁	—	2	2	no	—
325	C₂×Q₈×C₆₁	—	4	2	no	—
326	C₂×Q₈×C₆₁	—	4	2	no	—
327	C₂×Q₈×C₆₁	—	8	2	no	—
328	C₂×Q₈×C₆₁	C₂×D₄	1	2	yes	—
329	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
331	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₆₁	—	2	1	no	—
333	C₂×D₄×C₆₁	—	2	1	no	—
334	C₂×D₄×C₆₁	—	2	2	no	—
335	C₂×D₄×C₆₁	—	2	2	no	—
336	C₂×D₄×C₆₁	—	2	2	no	—
337	C₂×D₄×C₆₁	—	2	2	no	—
338	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
340	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
342	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
345	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₆₁	—	2	2	no	—
347	C₂²×C₄×C₆₁	—	2	2	no	—
348	C₂²×C₄×C₆₁	—	2	2	no	—
349	C₂²×C₄×C₆₁	—	2	2	no	—
350	C₂²×C₄×C₆₁	—	2	2	no	—
351	C₂²×C₄×C₆₁	—	2	1	no	—
352	C₂²×C₄×C₆₁	—	2	1	no	—
353	C₂²×C₄×C₆₁	—	2	1	no	—
354	C₂²×C₄×C₆₁	—	2	1	no	—
355	C₂²×C₄×C₆₁	—	2	2	no	—
356	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
360	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
361	Q₁₆×C₆₁	—	4	2	no	—
362	Q₁₆×C₆₁	—	4	1	no	—
363	SD₁₆×C₆₁	—	4	1	no	—
364	SD₁₆×C₆₁	—	4	1	no	—
365	SD₁₆×C₆₁	—	4	2	no	—
366	D₈×C₆₁	—	4	1	no	—
367	M₁₆×C₆₁	—	4	2	no	—
368	M₁₆×C₆₁	—	4	2	no	—
369	C₂×C₈×C₆₁	—	4	2	no	—
370	C₂×C₈×C₆₁	—	4	2	no	—
371	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
376	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
377	C₄⋊C₄×C₆₁	—	2	1	no	—
378	C₄⋊C₄×C₆₁	—	2	2	no	—
379	C₄⋊C₄×C₆₁	—	2	2	no	—
380	C₄⋊C₄×C₆₁	—	2	1	no	—
381	C₄⋊C₄×C₆₁	—	2	1	no	—
382	C₄⋊C₄×C₆₁	—	2	2	no	—
383	C₄⋊C₄×C₆₁	—	2	2	no	—
384	C₄⋊C₄×C₆₁	—	2	2	no	—
385	C₄⋊C₄×C₆₁	—	2	2	no	—
386	C₄⋊C₄×C₆₁	—	2	1	no	—
387	C₄⋊C₄×C₆₁	—	2	1	no	—
388	C₄⋊C₄×C₆₁	—	2	1	no	—
389	C₄⋊C₄×C₆₁	—	2	1	no	—
390	C₄⋊C₄×C₆₁	—	2	2	no	—
391	C₄⋊C₄×C₆₁	—	2	1	no	—
392	C₄⋊C₄×C₆₁	—	2	1	no	—
393	C₄⋊C₄×C₆₁	—	2	2	no	—
394	C₄⋊C₄×C₆₁	—	2	2	no	—
395	C₄⋊C₄×C₆₁	—	2	2	no	—
396	C₄⋊C₄×C₆₁	—	2	2	no	—
397	C₄⋊C₄×C₆₁	—	2	1	no	—
398	C₄⋊C₄×C₆₁	—	2	2	no	—
399	C₄⋊C₄×C₆₁	—	2	1	no	—
400	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
402	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
406	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
410	C₂²⋊C₄×C₆₁	—	2	2	no	—
411	C₂²⋊C₄×C₆₁	—	2	2	no	—
412	C₂²⋊C₄×C₆₁	—	2	1	no	—
413	C₂²⋊C₄×C₆₁	—	2	2	no	—
414	C₂²⋊C₄×C₆₁	—	2	2	no	—
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	2	no	—
420	C₂²⋊C₄×C₆₁	—	2	1	no	—
421	C₂²⋊C₄×C₆₁	—	2	1	no	—
422	C₂²⋊C₄×C₆₁	—	2	1	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	—	2	2	no	—
427	C₂²⋊C₄×C₆₁	—	2	2	no	—
428	C₂²⋊C₄×C₆₁	—	2	1	no	—
429	C₂²⋊C₄×C₆₁	—	2	1	no	—
430	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
434	C₄²×C₆₁	—	2	1	no	—
435	C₄²×C₆₁	—	2	1	no	—
436	C₄²×C₆₁	—	2	1	no	—
437	C₄²×C₆₁	—	2	2	no	—
438	C₄²×C₆₁	—	2	2	no	—
439	C₄²×C₆₁	—	2	2	no	—
440	C₄²×C₆₁	—	2	2	no	—
441	C₄²×C₆₁	—	2	1	no	—
442	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
444	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
445	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
446	C₂³×C₆₁	—	2	1	no	—
447	C₂³×C₆₁	—	2	1	no	—
448	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
449	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
450	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
451	Q₈×C₆₁	—	2	1	no	—
452	Q₈×C₆₁	—	2	1	no	—
453	Q₈×C₆₁	—	2	2	no	—
454	Q₈×C₆₁	—	2	1	no	—
455	Q₈×C₆₁	—	2	1	no	—
456	Q₈×C₆₁	—	2	2	no	—
457	Q₈×C₆₁	—	4	2	no	—
458	Q₈×C₆₁	—	4	2	no	—
459	Q₈×C₆₁	—	4	2	no	—
460	Q₈×C₆₁	—	8	1	no	—
461	Q₈×C₆₁	—	8	2	no	—
462	Q₈×C₆₁	—	8	2	no	—
463	D₄×C₆₁	—	2	2	no	—
464	D₄×C₆₁	—	2	2	no	—
465	D₄×C₆₁	—	2	1	no	—
466	D₄×C₆₁	—	2	1	no	—
467	D₄×C₆₁	—	2	1	no	—
468	D₄×C₆₁	—	2	1	no	—
469	D₄×C₆₁	—	4	2	no	—
470	D₄×C₆₁	—	4	2	no	—
471	D₄×C₆₁	—	4	2	no	—
472	D₄×C₆₁	—	4	2	no	—
473	D₄×C₆₁	—	4	2	no	—
474	D₄×C₆₁	—	8	1	no	—
475	D₄×C₆₁	—	8	2	no	—
476	D₄×C₆₁	—	8	2	no	—
477	D₄×C₆₁	—	8	2	no	—
478	D₄×C₆₁	—	8	2	no	—
479	C₂×C₄×C₆₁	—	2	2	no	—
480	C₂×C₄×C₆₁	—	2	2	no	—
481	C₂×C₄×C₆₁	—	2	2	no	—
482	C₂×C₄×C₆₁	—	2	2	no	—
483	C₂×C₄×C₆₁	—	2	2	no	—
484	C₂×C₄×C₆₁	—	2	1	no	—
485	C₂×C₄×C₆₁	—	2	1	no	—
486	C₂×C₄×C₆₁	—	2	1	no	—
487	C₂×C₄×C₆₁	—	2	1	no	—
488	C₂×C₄×C₆₁	—	2	1	no	—
489	C₂×C₄×C₆₁	—	2	2	no	—
490	C₂×C₄×C₆₁	—	2	1	no	—
491	C₂×C₄×C₆₁	—	2	1	no	—
492	C₂×C₄×C₆₁	—	2	1	no	—
493	C₂×C₄×C₆₁	—	2	2	no	—
494	C₂×C₄×C₆₁	—	2	2	no	—
495	C₂×C₄×C₆₁	—	2	2	no	—
496	C₂×C₄×C₆₁	—	4	1	no	—
497	C₂×C₄×C₆₁	—	4	2	no	—
498	C₂×C₄×C₆₁	—	4	2	no	—
499	C₂×C₄×C₆₁	—	4	2	no	—
500	C₂×C₄×C₆₁	—	4	2	no	—
501	C₂×C₄×C₆₁	—	8	2	no	—
502	C₂×C₄×C₆₁	—	8	2	no	—
503	C₂×C₄×C₆₁	—	8	2	no	—
504	C₂×C₄×C₆₁	—	8	2	no	—
505	C₂×C₄×C₆₁	—	8	2	no	—
506	C₂×C₄×C₆₁	—	8	2	no	—
507	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
512	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
515	C₈×C₆₁	—	2	1	no	—
516	C₈×C₆₁	—	2	1	no	—
517	C₈×C₆₁	—	2	2	no	—
518	C₈×C₆₁	—	2	2	no	—
519	C₈×C₆₁	—	2	1	no	—
520	C₈×C₆₁	—	2	1	no	—
521	#61812	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
522	C₂²×C₆₁	—	2	1	no	—
523	C₂²×C₆₁	—	2	2	no	—
524	C₂²×C₆₁	—	2	2	no	—
525	C₂²×C₆₁	—	2	2	no	—
526	C₂²×C₆₁	—	2	1	no	—
527	C₂²×C₆₁	—	2	2	no	—
528	C₂²×C₆₁	—	2	1	no	—
529	C₂²×C₆₁	—	2	2	no	—
530	C₂²×C₆₁	—	2	2	no	—
531	C₂²×C₆₁	—	4	1	no	—
532	C₂²×C₆₁	—	4	1	no	—
533	C₂²×C₆₁	—	4	1	no	—
534	C₂²×C₆₁	—	4	1	no	—
535	C₂²×C₆₁	—	4	1	no	—
536	C₂²×C₆₁	—	4	1	no	—
537	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
538	C₄×C₆₁	—	2	1	no	—
539	C₄×C₆₁	—	2	1	no	—
540	C₄×C₆₁	—	2	1	no	—
541	C₄×C₆₁	—	2	2	no	—
542	C₄×C₆₁	—	2	2	no	—
543	C₄×C₆₁	—	2	1	no	—
544	C₄×C₆₁	—	4	1	no	—
545	C₄×C₆₁	—	4	1	no	—
546	C₄×C₆₁	—	4	2	no	—
547	C₄×C₆₁	—	4	1	no	—
548	C₄×C₆₁	—	4	2	no	—
549	C₄×C₆₁	—	4	1	no	—
550	C₄×C₆₁	—	4	1	no	—
551	C₄×C₆₁	—	4	1	no	—
552	C₄×C₆₁	—	4	2	no	—
553	C₄×C₆₁	—	4	2	no	—
554	C₄×C₆₁	#577	1	2	yes	—
555	C₄×C₆₁	#585	1	1	yes	characteristic
556	C₄×C₆₁	#585	1	1	yes	characteristic
557	#3547	C₂×C₆₁	1	1	yes	characteristic, complemented
558	#3511	C₂×C₆₁	1	1	yes	characteristic, complemented
559	#3356	C₂×C₆₁	1	1	yes	characteristic, complemented
560	#3354	C₂×C₆₁	1	1	yes	characteristic, complemented
561	#3348	C₂×C₆₁	1	2	yes	complemented
562	#3344	C₂×C₆₁	1	2	yes	complemented
563	#3340	C₂×C₆₁	1	1	yes	characteristic, complemented
564	#3335	C₂×C₆₁	1	1	yes	characteristic, complemented
565	#3330	C₂×C₆₁	1	1	yes	characteristic, complemented
566	#3328	C₂×C₆₁	1	1	yes	characteristic, complemented
567	#3321	C₂×C₆₁	1	2	yes	complemented
568	#3316	C₂×C₆₁	1	2	yes	complemented
569	#3302	C₂×C₆₁	1	1	yes	characteristic, complemented
570	#3298	C₂×C₆₁	1	1	yes	characteristic, complemented
571	#3239	C₂×C₆₁	1	1	yes	characteristic, complemented
572	#3229	C₂×C₆₁	1	1	yes	characteristic, complemented
573	#3204	C₂×C₆₁	1	2	yes	complemented
574	#3201	C₂×C₆₁	1	2	yes	complemented
575	#3116	C₂×C₆₁	1	1	yes	characteristic, complemented
576	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
577	#3099	C₂×C₆₁	1	2	yes	complemented
578	#3097	C₂×C₆₁	1	2	yes	complemented
579	#2981	C₂×C₆₁	1	1	yes	characteristic, complemented
580	C₂×C₆₁	—	4	1	no	—
581	C₂×C₆₁	—	4	2	no	—
582	C₂×C₆₁	—	4	2	no	—
583	C₂×C₆₁	—	8	1	no	—
584	C₂×C₆₁	—	8	1	no	—
585	C₂×C₆₁	#3485	1	1	yes	characteristic
586	C₂×C₆₁	C₂×#577	1	1	yes	characteristic
587	C₂×C₆₁	#3586	1	1	yes	characteristic
588	#562	—	2	2	no	—
589	#556	C₂²×C₆₁	1	1	yes	characteristic
590	#556	C₂²×C₆₁	1	1	yes	characteristic
591	#555	—	2	1	no	—
592	#555	C₂²×C₆₁	1	1	yes	characteristic
593	#555	C₂²×C₆₁	1	2	yes	—
594	#554	C₂²×C₆₁	1	1	yes	characteristic
595	#554	C₂²×C₆₁	1	2	yes	—
596	#553	—	2	2	no	—
597	#553	—	2	1	no	—
598	#552	C₂²×C₆₁	1	2	yes	—
599	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
600	#548	—	2	1	no	—
601	#548	—	2	1	no	—
602	#548	C₂²×C₆₁	1	2	yes	—
603	#547	C₂²×C₆₁	1	1	yes	characteristic
604	#547	C₂²×C₆₁	1	1	yes	characteristic
605	#547	C₂²×C₆₁	1	1	yes	characteristic
606	#544	—	2	1	no	—
607	#542	—	2	2	no	—
608	#542	—	2	2	no	—
609	#540	—	2	1	no	—
610	#537	C₂²×C₆₁	1	2	yes	—
611	#537	C₂²×C₆₁	1	2	yes	—
612	#536	C₂²×C₆₁	1	2	yes	—
613	#533	—	2	1	no	—
614	#533	C₂²×C₆₁	1	1	yes	characteristic
615	#532	—	2	1	no	—
616	#532	C₂²×C₆₁	1	1	yes	characteristic
617	C₂×C₄⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
618	#529	C₂²×C₆₁	1	1	yes	characteristic
619	#520	C₂²×C₆₁	1	2	yes	—
620	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
621	#501	C₂²×C₆₁	1	2	yes	—
622	#498	C₂²×C₆₁	1	1	yes	characteristic
623	#498	C₂²×C₆₁	1	1	yes	characteristic
624	#489	C₂²×C₆₁	1	2	yes	—
625	#487	C₂²×C₆₁	1	1	yes	characteristic
626	#487	C₂²×C₆₁	1	1	yes	characteristic
627	#485	C₂²×C₆₁	1	2	yes	—
628	#485	C₂²×C₆₁	1	2	yes	—
629	#485	C₂²×C₆₁	1	2	yes	—
630	#485	C₂²×C₆₁	1	1	yes	characteristic
631	#485	C₂²×C₆₁	1	2	yes	—
632	#485	C₂²×C₆₁	1	2	yes	—
633	#484	C₂²×C₆₁	1	2	yes	—
634	#484	C₂²×C₆₁	1	2	yes	—
635	#483	C₂²×C₆₁	1	2	yes	—
636	#483	C₂²×C₆₁	1	2	yes	—
637	#483	C₂²×C₆₁	1	2	yes	—
638	#483	C₂²×C₆₁	1	2	yes	—
639	#483	C₂²×C₆₁	1	2	yes	—
640	#482	C₂²×C₆₁	1	2	yes	—
641	#482	C₂²×C₆₁	1	2	yes	—
642	#482	C₂²×C₆₁	1	1	yes	characteristic
643	#481	C₂²×C₆₁	1	2	yes	—
644	#481	C₂²×C₆₁	1	2	yes	—
645	#481	C₂²×C₆₁	1	2	yes	—
646	#479	C₂²×C₆₁	1	1	yes	characteristic
647	#478	C₂²×C₆₁	1	1	yes	characteristic
648	#477	C₂²×C₆₁	1	1	yes	characteristic
649	#476	C₂²×C₆₁	1	1	yes	characteristic
650	#475	C₂²×C₆₁	1	1	yes	characteristic
651	#475	C₂²×C₆₁	1	2	yes	—
652	#475	C₂²×C₆₁	1	2	yes	—
653	#475	C₂²×C₆₁	1	1	yes	characteristic
654	#474	C₂²×C₆₁	1	1	yes	characteristic
655	#474	C₂²×C₆₁	1	1	yes	characteristic
656	#470	C₂²×C₆₁	1	2	yes	—
657	#470	C₂²×C₆₁	1	2	yes	—
658	#469	C₂²×C₆₁	1	2	yes	—
659	#468	C₂²×C₆₁	1	2	yes	—
660	#467	C₂²×C₆₁	1	2	yes	—
661	#465	C₂²×C₆₁	1	2	yes	—
662	#465	C₂²×C₆₁	1	2	yes	—
663	#465	C₂²×C₆₁	1	2	yes	—
664	#464	C₂²×C₆₁	1	1	yes	characteristic
665	#463	C₂²×C₆₁	1	1	yes	characteristic
666	#462	C₂²×C₆₁	1	1	yes	characteristic
667	#461	C₂²×C₆₁	1	1	yes	characteristic
668	#452	C₂²×C₆₁	1	1	yes	characteristic
669	#452	C₂²×C₆₁	1	2	yes	—
670	#452	C₂²×C₆₁	1	2	yes	—
671	#451	C₂²×C₆₁	1	2	yes	—
672	#449	C₂²×C₆₁	1	2	yes	—
673	#449	C₂²×C₆₁	1	1	yes	characteristic
674	#448	C₂²×C₆₁	1	2	yes	—
675	#441	C₂²×C₆₁	1	2	yes	—
676	#440	C₂²×C₆₁	1	2	yes	—
677	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
678	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
679	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
680	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
681	#436	C₂²×C₆₁	1	1	yes	characteristic
682	#436	C₂²×C₆₁	1	1	yes	characteristic
683	#435	C₂²×C₆₁	1	2	yes	—
684	#435	C₂²×C₆₁	1	2	yes	—
685	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
686	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
687	#432	C₂²×C₆₁	1	1	yes	characteristic
688	#431	C₂²×C₆₁	1	1	yes	characteristic
689	#428	C₂²×C₆₁	1	2	yes	—
690	#428	C₂²×C₆₁	1	2	yes	—
691	#427	C₂²×C₆₁	1	2	yes	—
692	C₂×#106	C₂²×C₆₁	1	2	yes	—
693	#419	C₂²×C₆₁	1	2	yes	—
694	#417	C₂²×C₆₁	1	2	yes	—
695	#416	C₂²×C₆₁	1	2	yes	—
696	C₂×#103	C₂²×C₆₁	1	2	yes	—
697	#408	C₂²×C₆₁	1	2	yes	—
698	#408	C₂²×C₆₁	1	2	yes	—
699	C₆₁	#61812	1	1	yes	characteristic, direct product factor, Sylow
700	C₂×#41	—	2	1	no	—
701	C₂×#41	—	2	1	no	—
702	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
703	C₂×#41	C₂³×C₆₁	1	2	yes	—
704	C₂×#41	C₂³×C₆₁	1	2	yes	—
705	C₂²×Q₈	—	2	1	no	—
706	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
707	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
708	C₂×Q₁₆	C₂³×C₆₁	1	2	yes	—
709	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
710	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
711	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
712	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
713	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
714	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
715	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
716	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	—	2	1	no	—
721	C₄⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
724	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
725	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
726	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
727	#127	D₄×C₆₁	1	1	yes	characteristic
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#126	—	2	1	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	1	no	—
735	#125	—	2	1	no	—
736	#125	C₂³×C₆₁	1	1	yes	characteristic
737	#124	—	2	1	no	—
738	#124	—	2	1	no	—
739	#124	—	2	2	no	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	—	2	2	no	—
743	#124	—	2	2	no	—
744	#124	D₄×C₆₁	1	2	yes	—
745	#124	C₂³×C₆₁	1	1	yes	characteristic
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	1	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
764	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
765	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
766	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
767	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
768	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
769	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	2	no	—
774	#121	—	2	2	no	—
775	#121	—	2	2	no	—
776	#121	—	2	2	no	—
777	#121	—	2	1	no	—
778	#121	—	2	2	no	—
779	#121	—	2	1	no	—
780	#121	D₄×C₆₁	1	1	yes	characteristic
781	#121	D₄×C₆₁	1	1	yes	characteristic
782	#121	D₄×C₆₁	1	2	yes	—
783	#121	C₂³×C₆₁	1	1	yes	characteristic
784	#121	C₂³×C₆₁	1	2	yes	—
785	#121	C₂³×C₆₁	1	2	yes	—
786	#121	C₂³×C₆₁	1	2	yes	—
787	C₄×Q₈	—	2	2	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
793	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
794	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
807	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
808	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
809	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₆₁	1	2	yes	—
811	#117	—	2	1	no	—
812	#117	—	2	2	no	—
813	#117	—	2	1	no	—
814	#117	—	2	2	no	—
815	#117	—	2	1	no	—
816	#117	—	2	1	no	—
817	#117	C₂³×C₆₁	1	1	yes	characteristic
818	#117	C₂³×C₆₁	1	2	yes	—
819	#117	C₂³×C₆₁	1	2	yes	—
820	#117	C₂³×C₆₁	1	2	yes	—
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	—	2	1	no	—
823	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
825	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
826	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
829	#107	C₂³×C₆₁	1	2	yes	—
830	#107	C₂³×C₆₁	1	2	yes	—
831	#107	C₂³×C₆₁	1	1	yes	characteristic
832	#107	C₂³×C₆₁	1	1	yes	characteristic
833	#107	C₂³×C₆₁	1	2	yes	—
834	#106	C₂³×C₆₁	1	1	yes	characteristic
835	#106	C₂³×C₆₁	1	2	yes	—
836	#106	C₂³×C₆₁	1	2	yes	—
837	#106	C₂³×C₆₁	1	2	yes	—
838	#106	C₂³×C₆₁	1	1	yes	characteristic
839	#106	C₂³×C₆₁	1	2	yes	—
840	#106	C₂³×C₆₁	1	2	yes	—
841	#106	C₂³×C₆₁	1	2	yes	—
842	#106	C₂³×C₆₁	1	2	yes	—
843	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
845	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
846	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
847	#103	C₂³×C₆₁	1	1	yes	characteristic
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	#103	C₂³×C₆₁	1	2	yes	—
854	#103	C₂³×C₆₁	1	1	yes	characteristic
855	#103	C₂³×C₆₁	1	2	yes	—
856	#103	C₂³×C₆₁	1	2	yes	—
857	#103	C₂³×C₆₁	1	1	yes	characteristic
858	#103	C₂³×C₆₁	1	1	yes	characteristic
859	#103	C₂³×C₆₁	1	2	yes	—
860	#102	C₂³×C₆₁	1	1	yes	characteristic
861	#102	C₂³×C₆₁	1	2	yes	—
862	#102	C₂³×C₆₁	1	1	yes	characteristic
863	#102	C₂³×C₆₁	1	2	yes	—
864	#102	C₂³×C₆₁	1	1	yes	characteristic
865	#102	C₂³×C₆₁	1	1	yes	characteristic
866	#102	C₂³×C₆₁	1	2	yes	—
867	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
868	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
869	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
872	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
873	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
874	#97	C₂³×C₆₁	1	2	yes	—
875	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
876	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
877	#41	—	4	2	no	—
878	#41	—	4	2	no	—
879	#41	—	4	1	no	—
880	#41	—	4	1	no	—
881	#41	—	4	2	no	—
882	#41	—	4	2	no	—
883	#41	—	8	2	no	—
884	#41	—	8	2	no	—
885	C₂×Q₈	—	2	1	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	4	2	no	—
891	C₂×Q₈	—	4	2	no	—
892	C₂×Q₈	—	8	2	no	—
893	C₂×Q₈	C₂×D₄×C₆₁	1	2	yes	—
894	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
896	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
897	C₂×D₄	—	2	1	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
904	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
905	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
906	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
907	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
908	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
909	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
910	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
922	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
924	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
925	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
926	Q₁₆	—	4	2	no	—
927	Q₁₆	—	4	1	no	—
928	SD₁₆	—	4	1	no	—
929	SD₁₆	—	4	1	no	—
930	SD₁₆	—	4	2	no	—
931	D₈	—	4	1	no	—
932	M₁₆	—	4	2	no	—
933	M₁₆	—	4	2	no	—
934	C₂×C₈	—	4	2	no	—
935	C₂×C₈	—	4	2	no	—
936	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
941	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
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	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
966	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
967	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
968	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
971	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
974	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
997	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
998	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1008	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1009	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1010	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1011	C₂³	—	2	1	no	—
1012	C₂³	—	2	1	no	—
1013	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
1014	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
1015	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1016	Q₈	—	2	1	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	2	2	no	—
1019	Q₈	—	2	1	no	—
1020	Q₈	—	2	1	no	—
1021	Q₈	—	2	2	no	—
1022	Q₈	—	4	2	no	—
1023	Q₈	—	4	2	no	—
1024	Q₈	—	4	2	no	—
1025	Q₈	—	8	1	no	—
1026	Q₈	—	8	2	no	—
1027	Q₈	—	8	2	no	—
1028	D₄	—	2	2	no	—
1029	D₄	—	2	2	no	—
1030	D₄	—	2	1	no	—
1031	D₄	—	2	1	no	—
1032	D₄	—	2	1	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	4	2	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	8	1	no	—
1040	D₄	—	8	2	no	—
1041	D₄	—	8	2	no	—
1042	D₄	—	8	2	no	—
1043	D₄	—	8	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	4	1	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	4	2	no	—
1064	C₂×C₄	—	4	2	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	2	no	—
1070	C₂×C₄	—	8	2	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1073	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1074	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1076	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1077	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1078	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1079	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1080	C₈	—	2	1	no	—
1081	C₈	—	2	1	no	—
1082	C₈	—	2	2	no	—
1083	C₈	—	2	2	no	—
1084	C₈	—	2	1	no	—
1085	C₈	—	2	1	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	1	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1102	C₄	—	2	1	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	2	2	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	2	no	—
1111	C₄	—	4	2	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	2	no	—
1117	C₄	—	4	1	no	—
1118	C₄	C₆₁×#577	1	2	yes	—
1119	C₄	C₆₁×#585	1	1	yes	characteristic
1120	C₄	C₆₁×#585	1	1	yes	characteristic
1121	C₂	—	4	1	no	—
1122	C₂	—	4	2	no	—
1123	C₂	—	4	2	no	—
1124	C₂	—	8	1	no	—
1125	C₂	—	8	1	no	—
1126	C₂	C₆₁×#3485	1	1	yes	characteristic
1127	C₂	C₂×C₆₁×#577	1	1	yes	characteristic
1128	C₂	C₆₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ C₆₁×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3547	C₂	semidirect
2. C₆₁×#3511	C₂	semidirect
3. C₆₁×#3356	C₂	semidirect
4. C₆₁×#3354	C₂	semidirect
5. C₆₁×#3348	C₂	semidirect
6. C₆₁×#3344	C₂	semidirect
7. C₆₁×#3340	C₂	semidirect
8. C₆₁×#3335	C₂	semidirect
9. C₆₁×#3330	C₂	semidirect
10. C₆₁×#3328	C₂	semidirect
11. C₆₁×#3321	C₂	semidirect
12. C₆₁×#3316	C₂	semidirect
13. C₆₁×#3302	C₂	semidirect
14. C₆₁×#3298	C₂	semidirect
15. C₆₁×#3239	C₂	semidirect
16. C₆₁×#3229	C₂	semidirect
17. C₆₁×#3204	C₂	semidirect
18. C₆₁×#3201	C₂	semidirect
19. C₆₁×#3116	C₂	semidirect
20. C₆₁×#3102	C₂	semidirect
21. C₆₁×#3099	C₂	semidirect
22. C₆₁×#3097	C₂	semidirect
23. C₆₁×#2981	C₂	semidirect
521. #61812	C₆₁	direct (N × H)
557. #3547	C₂×C₆₁	semidirect
558. #3511	C₂×C₆₁	semidirect
559. #3356	C₂×C₆₁	semidirect
560. #3354	C₂×C₆₁	semidirect
561. #3348	C₂×C₆₁	semidirect
562. #3344	C₂×C₆₁	semidirect
563. #3340	C₂×C₆₁	semidirect
564. #3335	C₂×C₆₁	semidirect
565. #3330	C₂×C₆₁	semidirect
566. #3328	C₂×C₆₁	semidirect
567. #3321	C₂×C₆₁	semidirect
568. #3316	C₂×C₆₁	semidirect
569. #3302	C₂×C₆₁	semidirect
570. #3298	C₂×C₆₁	semidirect
571. #3239	C₂×C₆₁	semidirect
572. #3229	C₂×C₆₁	semidirect
573. #3204	C₂×C₆₁	semidirect
574. #3201	C₂×C₆₁	semidirect
575. #3116	C₂×C₆₁	semidirect
576. #3102	C₂×C₆₁	semidirect
577. #3099	C₂×C₆₁	semidirect
578. #3097	C₂×C₆₁	semidirect
579. #2981	C₂×C₆₁	semidirect
699. C₆₁	#61812	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×#3547	2
C₆₁×#3511	2
C₆₁×#3356	2
C₆₁×#3354	2
C₆₁×#3348	2
C₆₁×#3344	2
C₆₁×#3340	2
C₆₁×#3335	2
C₆₁×#3330	2
C₆₁×#3328	2
C₆₁×#3321	2
C₆₁×#3316	2
C₆₁×#3302	2
C₆₁×#3298	2
C₆₁×#3239	2
C₆₁×#3229	2
C₆₁×#3204	2
C₆₁×#3201	2
C₆₁×#3116	2
C₆₁×#3102	2
C₆₁×#3099	2
C₆₁×#3097	2
C₆₁×#2981	2
#61812	61

Subgroups — C61×#61812 #29565245

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61812 #29565245