Subgroups — C₆₁×#62897 #29566330

Order 15616.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3562	C₂	1	6	yes	maximal, complemented
2	C₆₁×#3561	C₂	1	3	yes	maximal, complemented
3	C₆₁×#3558	C₂	1	3	yes	maximal, complemented
4	C₆₁×#3554	C₂	1	6	yes	maximal, complemented
5	C₆₁×#3542	C₂	1	6	yes	maximal, complemented
6	C₆₁×#3541	C₂	1	6	yes	maximal, complemented
7	C₆₁×#3540	C₂	1	6	yes	maximal, complemented
8	C₆₁×#3524	C₂	1	2	yes	maximal, complemented
9	C₆₁×#3523	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3522	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3520	C₂	1	6	yes	maximal, complemented
12	C₆₁×#3518	C₂	1	2	yes	maximal, complemented
13	C₆₁×#3506	C₂	1	3	yes	maximal, complemented
14	C₆₁×#3489	C₂	1	2	yes	maximal, complemented
15	C₆₁×#3487	C₂	1	2	yes	maximal, complemented
16	C₆₁×#3486	C₂	1	2	yes	maximal, complemented
17	D₄×#41×C₆₁	C₂	1	2	yes	maximal, complemented
18	C₂×C₆₁×#548	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3459	C₂	1	3	yes	maximal, complemented
20	C₂×2₋¹⁺⁴×C₆₁	C₂²	1	2	yes	complemented
21	C₂²×#41×C₆₁	C₂²	1	1	yes	characteristic
22	C₂²×#41×C₆₁	C₂²	1	2	yes	complemented
23	C₂³×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
24	C₆₁×#563	C₂²	1	6	yes	complemented
25	C₆₁×#562	C₂²	1	6	yes	complemented
26	C₆₁×#562	C₂²	1	12	yes	complemented
27	C₆₁×#562	C₂²	1	6	yes	complemented
28	C₆₁×H(3,𝔽₄)	C₂²	1	6	yes	complemented
29	C₆₁×#560	C₂²	1	12	yes	complemented
30	C₆₁×#559	C₂²	1	6	yes	complemented
31	C₆₁×#559	C₂²	1	12	yes	complemented
32	C₆₁×#559	C₂²	1	3	yes	complemented
33	Q₈²×C₆₁	C₂²	1	1	yes	characteristic, complemented
34	C₆₁×#557	C₂²	1	3	yes	complemented
35	C₆₁×#557	C₂²	1	1	yes	characteristic, complemented
36	C₆₁×#556	C₂²	1	6	yes	complemented
37	C₆₁×#556	C₂²	1	6	yes	complemented
38	C₆₁×#556	C₂²	1	6	yes	complemented
39	C₆₁×#556	C₂²	1	3	yes	complemented
40	C₆₁×#555	C₂²	1	6	yes	complemented
41	C₆₁×#555	C₂²	1	6	yes	complemented
42	C₆₁×#554	C₂²	1	12	yes	complemented
43	C₆₁×#554	C₂²	1	3	yes	complemented
44	C₆₁×#553	C₂²	1	12	yes	complemented
45	C₆₁×#553	C₂²	1	6	yes	complemented
46	C₆₁×#552	C₂²	1	6	yes	complemented
47	C₆₁×#552	C₂²	1	6	yes	complemented
48	C₆₁×#551	C₂²	1	12	yes	complemented
49	C₆₁×#551	C₂²	1	12	yes	complemented
50	C₆₁×#550	C₂²	1	6	yes	complemented
51	C₆₁×#550	C₂²	1	6	yes	complemented
52	C₆₁×#550	C₂²	1	2	yes	complemented
53	C₆₁×#550	C₂²	1	1	yes	characteristic, complemented
54	D₄×Q₈×C₆₁	C₂²	1	6	yes	complemented
55	D₄×Q₈×C₆₁	C₂²	1	6	yes	complemented
56	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
57	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
58	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
59	C₆₁×#548	C₂²	1	6	yes	complemented
60	C₆₁×#548	C₂²	1	6	yes	complemented
61	C₆₁×#548	C₂²	1	6	yes	complemented
62	C₆₁×#548	C₂²	1	6	yes	complemented
63	C₆₁×#548	C₂²	1	6	yes	complemented
64	C₆₁×#548	C₂²	1	6	yes	complemented
65	C₆₁×#548	C₂²	1	2	yes	complemented
66	C₆₁×#548	C₂²	1	2	yes	complemented
67	C₆₁×#548	C₂²	1	2	yes	complemented
68	C₆₁×#548	C₂²	1	2	yes	complemented
69	C₆₁×#548	C₂²	1	2	yes	complemented
70	C₆₁×#547	C₂²	1	6	yes	complemented
71	C₆₁×#547	C₂²	1	6	yes	complemented
72	C₆₁×#547	C₂²	1	6	yes	complemented
73	C₆₁×#547	C₂²	1	6	yes	complemented
74	C₆₁×#546	C₂²	1	6	yes	complemented
75	C₆₁×#546	C₂²	1	12	yes	complemented
76	C₆₁×#546	C₂²	1	6	yes	complemented
77	C₆₁×#546	C₂²	1	6	yes	complemented
78	C₆₁×#546	C₂²	1	6	yes	complemented
79	D₄²×C₆₁	C₂²	1	6	yes	complemented
80	C₆₁×#543	C₂²	1	3	yes	complemented
81	C₆₁×#542	C₂²	1	12	yes	complemented
82	C₆₁×#542	C₂²	1	6	yes	complemented
83	C₆₁×#542	C₂²	1	6	yes	complemented
84	C₆₁×#542	C₂²	1	6	yes	complemented
85	C₆₁×#542	C₂²	1	6	yes	complemented
86	C₆₁×#542	C₂²	1	12	yes	complemented
87	C₆₁×#541	C₂²	1	6	yes	complemented
88	C₆₁×#540	C₂²	1	12	yes	complemented
89	C₆₁×#540	C₂²	1	6	yes	complemented
90	C₆₁×#539	C₂²	1	6	yes	complemented
91	C₆₁×#539	C₂²	1	12	yes	complemented
92	C₆₁×#539	C₂²	1	6	yes	complemented
93	C₆₁×#539	C₂²	1	6	yes	complemented
94	C₆₁×#538	C₂²	1	1	yes	characteristic
95	C₆₁×#538	C₂²	1	6	yes	complemented
96	C₆₁×#538	C₂²	1	12	yes	complemented
97	C₆₁×#538	C₂²	1	6	yes	complemented
98	C₆₁×#538	C₂²	1	3	yes	complemented
99	C₆₁×#538	C₂²	1	6	yes	complemented
100	C₆₁×#538	C₂²	1	12	yes	complemented
101	C₆₁×#537	C₂²	1	6	yes	complemented
102	C₆₁×#536	C₂²	1	6	yes	complemented
103	C₆₁×#536	C₂²	1	6	yes	complemented
104	C₆₁×#536	C₂²	1	6	yes	complemented
105	C₆₁×#535	C₂²	1	6	yes	complemented
106	C₆₁×#535	C₂²	1	6	yes	complemented
107	C₆₁×#535	C₂²	1	6	yes	complemented
108	C₆₁×#534	C₂²	1	3	yes	—
109	C₆₁×#534	C₂²	1	6	yes	complemented
110	C₆₁×#533	C₂²	1	6	yes	complemented
111	C₆₁×#533	C₂²	1	3	yes	complemented
112	C₆₁×#532	C₂²	1	6	yes	complemented
113	C₆₁×#532	C₂²	1	3	yes	complemented
114	C₆₁×#529	C₂²	1	3	yes	—
115	C₆₁×#529	C₂²	1	6	yes	complemented
116	C₆₁×#529	C₂²	1	3	yes	complemented
117	C₆₁×#529	C₂²	1	6	yes	complemented
118	C₆₁×#529	C₂²	1	6	yes	complemented
119	C₂×#124×C₆₁	C₂²	1	3	yes	complemented
120	C₆₁×#525	C₂²	1	6	yes	complemented
121	C₆₁×#525	C₂²	1	6	yes	complemented
122	C₆₁×#525	C₂²	1	6	yes	complemented
123	C₆₁×#525	C₂²	1	6	yes	complemented
124	C₆₁×#525	C₂²	1	6	yes	complemented
125	C₆₁×#525	C₂²	1	6	yes	complemented
126	C₆₁×#525	C₂²	1	6	yes	complemented
127	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	3	yes	complemented
128	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	6	yes	complemented
129	C₂×#121×C₆₁	C₂²	1	3	yes	complemented
130	C₆₁×#520	C₂²	1	2	yes	complemented
131	C₆₁×#520	C₂²	1	6	yes	complemented
132	C₆₁×#519	C₂²	1	2	yes	complemented
133	C₆₁×#519	C₂²	1	2	yes	complemented
134	C₄×#41×C₆₁	C₂²	1	2	yes	complemented
135	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄×D₄×C₆₁	C₂²	1	3	yes	complemented
137	C₂×C₄×D₄×C₆₁	C₂²	1	6	yes	complemented
138	2₋¹⁺⁴×C₆₁	—	4	8	no	—
139	C₂×#41×C₆₁	—	4	4	no	—
140	C₂×#41×C₆₁	—	4	8	no	—
141	C₂×#41×C₆₁	C₂³	1	2	yes	—
142	C₂×#41×C₆₁	C₂³	1	2	yes	—
143	C₂×#41×C₆₁	C₂³	1	6	yes	—
144	C₂×#41×C₆₁	C₂³	1	6	yes	—
145	C₂×#41×C₆₁	C₂³	1	6	yes	—
146	C₂×#41×C₆₁	C₂³	1	6	yes	—
147	C₂×#41×C₆₁	C₂³	1	6	yes	—
148	C₂×#41×C₆₁	C₂³	1	6	yes	—
149	C₂×#41×C₆₁	C₂³	1	6	yes	—
150	C₂²×Q₈×C₆₁	—	4	4	no	—
151	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
152	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
153	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
154	C₂²×Q₈×C₆₁	C₂³	1	6	yes	—
155	C₂²×Q₈×C₆₁	C₂³	1	6	yes	—
156	C₂²×Q₈×C₆₁	C₂³	1	3	yes	—
157	C₂²×D₄×C₆₁	C₂³	1	6	yes	—
158	C₂²×D₄×C₆₁	C₂³	1	3	yes	—
159	C₂²×D₄×C₆₁	C₂³	1	6	yes	—
160	C₂²×D₄×C₆₁	C₂³	1	3	yes	—
161	C₂³×C₄×C₆₁	C₂³	1	3	yes	—
162	C₂³×C₄×C₆₁	C₂³	1	3	yes	—
163	C₂³×C₄×C₆₁	C₂³	1	6	yes	—
164	C₄⋊Q₈×C₆₁	C₂³	1	6	yes	—
165	C₄⋊Q₈×C₆₁	C₂³	1	3	yes	—
166	C₄⋊Q₈×C₆₁	C₂³	1	3	yes	—
167	C₄⋊Q₈×C₆₁	C₂³	1	6	yes	—
168	C₄⋊Q₈×C₆₁	C₂³	1	6	yes	—
169	C₄⋊Q₈×C₆₁	C₂³	1	3	yes	—
170	C₄⋊Q₈×C₆₁	C₂³	1	12	yes	—
171	#127×C₆₁	C₂³	1	3	yes	—
172	#127×C₆₁	C₂³	1	6	yes	—
173	#127×C₆₁	C₂³	1	12	yes	—
174	#126×C₆₁	C₂³	1	2	yes	—
175	#126×C₆₁	C₂³	1	6	yes	—
176	#126×C₆₁	C₂³	1	12	yes	—
177	#126×C₆₁	C₂³	1	6	yes	—
178	#126×C₆₁	C₂³	1	6	yes	—
179	#126×C₆₁	C₂³	1	6	yes	—
180	#126×C₆₁	C₂³	1	6	yes	—
181	#126×C₆₁	C₂³	1	12	yes	—
182	#126×C₆₁	C₂³	1	12	yes	—
183	#126×C₆₁	C₂³	1	12	yes	—
184	#125×C₆₁	C₂³	1	6	yes	—
185	#125×C₆₁	C₂³	1	6	yes	—
186	#125×C₆₁	C₂³	1	6	yes	—
187	#125×C₆₁	C₂³	1	3	yes	—
188	#125×C₆₁	C₂³	1	3	yes	—
189	#125×C₆₁	C₂³	1	12	yes	—
190	#125×C₆₁	C₂³	1	6	yes	—
191	#124×C₆₁	C₂³	1	6	yes	—
192	#124×C₆₁	C₂³	1	6	yes	—
193	#124×C₆₁	C₂³	1	6	yes	—
194	#124×C₆₁	C₂³	1	6	yes	—
195	#124×C₆₁	C₂³	1	12	yes	—
196	#124×C₆₁	C₂³	1	12	yes	—
197	#124×C₆₁	C₂³	1	6	yes	—
198	#124×C₆₁	C₂³	1	12	yes	—
199	#124×C₆₁	C₂³	1	6	yes	—
200	#124×C₆₁	C₂³	1	2	yes	—
201	#124×C₆₁	C₂³	1	6	yes	—
202	#124×C₆₁	C₂³	1	6	yes	—
203	#124×C₆₁	C₂³	1	3	yes	—
204	#124×C₆₁	C₂³	1	3	yes	—
205	#124×C₆₁	C₂³	1	12	yes	—
206	#124×C₆₁	C₂³	1	12	yes	—
207	#124×C₆₁	C₂³	1	6	yes	—
208	#123×C₆₁	C₂³	1	6	yes	—
209	#123×C₆₁	C₂³	1	6	yes	—
210	#123×C₆₁	C₂³	1	6	yes	—
211	#123×C₆₁	C₂³	1	6	yes	—
212	#123×C₆₁	C₂³	1	6	yes	—
213	#123×C₆₁	C₂³	1	6	yes	—
214	#123×C₆₁	C₂³	1	6	yes	—
215	#123×C₆₁	C₂³	1	6	yes	—
216	#123×C₆₁	C₂³	1	12	yes	—
217	#123×C₆₁	C₂³	1	12	yes	—
218	#123×C₆₁	C₂³	1	12	yes	—
219	#123×C₆₁	C₂³	1	2	yes	—
220	#123×C₆₁	C₂³	1	12	yes	—
221	#123×C₆₁	C₂³	1	6	yes	—
222	#123×C₆₁	C₂³	1	6	yes	—
223	#123×C₆₁	C₂³	1	6	yes	—
224	#123×C₆₁	C₂³	1	12	yes	—
225	#123×C₆₁	C₂³	1	12	yes	—
226	#123×C₆₁	C₂³	1	12	yes	—
227	#123×C₆₁	C₂³	1	12	yes	—
228	C₂²⋊Q₈×C₆₁	C₂³	1	3	yes	—
229	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
230	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
231	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
232	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
233	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
234	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
235	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
236	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
237	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
238	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
239	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
240	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
241	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
242	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
243	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
244	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
245	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
246	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
247	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
248	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
249	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
250	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
251	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
252	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
253	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
254	#121×C₆₁	C₂³	1	3	yes	—
255	#121×C₆₁	C₂³	1	12	yes	—
256	#121×C₆₁	C₂³	1	12	yes	—
257	#121×C₆₁	C₂³	1	6	yes	—
258	#121×C₆₁	C₂³	1	1	yes	characteristic
259	#121×C₆₁	C₂³	1	6	yes	—
260	#121×C₆₁	C₂³	1	6	yes	—
261	#121×C₆₁	C₂³	1	6	yes	—
262	#121×C₆₁	C₂³	1	6	yes	—
263	#121×C₆₁	C₂³	1	6	yes	—
264	#121×C₆₁	C₂³	1	12	yes	—
265	#121×C₆₁	C₂³	1	12	yes	—
266	#121×C₆₁	C₂³	1	12	yes	—
267	#121×C₆₁	C₂³	1	12	yes	—
268	#121×C₆₁	C₂³	1	6	yes	—
269	#121×C₆₁	C₂³	1	6	yes	—
270	#121×C₆₁	C₂³	1	6	yes	—
271	#121×C₆₁	C₂³	1	6	yes	—
272	#121×C₆₁	C₂³	1	12	yes	—
273	#121×C₆₁	C₂³	1	6	yes	—
274	#121×C₆₁	C₂³	1	6	yes	—
275	#121×C₆₁	C₂³	1	2	yes	—
276	#121×C₆₁	C₂³	1	6	yes	—
277	#121×C₆₁	C₂³	1	6	yes	—
278	#121×C₆₁	C₂³	1	12	yes	—
279	#121×C₆₁	C₂³	1	6	yes	—
280	#120×C₆₁	C₂³	1	6	yes	—
281	#120×C₆₁	C₂³	1	6	yes	—
282	#120×C₆₁	C₂³	1	2	yes	—
283	#120×C₆₁	C₂³	1	6	yes	—
284	#120×C₆₁	C₂³	1	6	yes	—
285	#120×C₆₁	C₂³	1	6	yes	—
286	#120×C₆₁	C₂³	1	12	yes	—
287	#120×C₆₁	C₂³	1	12	yes	—
288	#120×C₆₁	C₂³	1	12	yes	—
289	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
290	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
291	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
292	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
293	C₄×Q₈×C₆₁	C₂³	1	12	yes	—
294	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
295	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
296	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
297	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
298	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
299	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
300	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
301	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
302	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
303	C₄×D₄×C₆₁	C₂³	1	6	yes	—
304	C₄×D₄×C₆₁	C₂³	1	6	yes	—
305	C₄×D₄×C₆₁	C₂³	1	6	yes	—
306	C₄×D₄×C₆₁	C₂³	1	12	yes	—
307	C₄×D₄×C₆₁	C₂³	1	2	yes	—
308	C₄×D₄×C₆₁	C₂³	1	6	yes	—
309	C₄×D₄×C₆₁	C₂³	1	6	yes	—
310	C₄×D₄×C₆₁	C₂³	1	6	yes	—
311	C₄×D₄×C₆₁	C₂³	1	6	yes	—
312	C₄×D₄×C₆₁	C₂³	1	12	yes	—
313	C₄×D₄×C₆₁	C₂³	1	12	yes	—
314	C₄×D₄×C₆₁	C₂³	1	12	yes	—
315	C₄×D₄×C₆₁	C₂³	1	12	yes	—
316	C₄×D₄×C₆₁	C₂³	1	12	yes	—
317	C₄×D₄×C₆₁	C₂³	1	6	yes	—
318	C₄×D₄×C₆₁	C₂³	1	6	yes	—
319	C₄×D₄×C₆₁	C₂³	1	6	yes	—
320	C₄×D₄×C₆₁	C₂³	1	6	yes	—
321	C₄×D₄×C₆₁	C₂³	1	3	yes	—
322	C₄×D₄×C₆₁	C₂³	1	6	yes	—
323	C₄×D₄×C₆₁	C₂³	1	6	yes	—
324	C₄×D₄×C₆₁	C₂³	1	6	yes	—
325	C₄×D₄×C₆₁	C₂³	1	6	yes	—
326	C₄×D₄×C₆₁	C₂³	1	6	yes	—
327	C₄×D₄×C₆₁	C₂³	1	3	yes	—
328	C₄×D₄×C₆₁	C₂³	1	6	yes	—
329	C₄×D₄×C₆₁	C₂³	1	6	yes	—
330	#117×C₆₁	C₂³	1	6	yes	—
331	#117×C₆₁	C₂³	1	12	yes	—
332	#117×C₆₁	C₂³	1	6	yes	—
333	#117×C₆₁	C₂³	1	6	yes	—
334	#117×C₆₁	C₂³	1	6	yes	—
335	#117×C₆₁	C₂³	1	6	yes	—
336	#117×C₆₁	C₂³	1	6	yes	—
337	#117×C₆₁	C₂³	1	12	yes	—
338	#117×C₆₁	C₂³	1	6	yes	—
339	C₂×C₄⋊C₄×C₆₁	C₂³	1	6	yes	—
340	C₂×C₄⋊C₄×C₆₁	C₂³	1	6	yes	—
341	C₂×C₄⋊C₄×C₆₁	C₂³	1	3	yes	—
342	C₂×C₄⋊C₄×C₆₁	C₂³	1	12	yes	—
343	C₂×C₄⋊C₄×C₆₁	C₂³	1	3	yes	—
344	C₂×C₂²⋊C₄×C₆₁	C₂³	1	3	yes	—
345	C₂×C₂²⋊C₄×C₆₁	C₂³	1	6	yes	—
346	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₆₁	C₂³	1	12	yes	—
348	C₂×C₂²⋊C₄×C₆₁	C₂³	1	6	yes	—
349	C₂×C₂²⋊C₄×C₆₁	C₂³	1	6	yes	—
350	C₂×C₄²×C₆₁	C₂³	1	3	yes	—
351	C₂×C₄²×C₆₁	C₂³	1	6	yes	—
352	C₂⁴×C₆₁	C₂⁴	1	3	yes	—
353	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
354	C₂⁴×C₆₁	C₂⁴	1	6	yes	—
355	#41×C₆₁	—	2	8	no	—
356	#41×C₆₁	—	2	8	no	—
357	#41×C₆₁	—	4	12	no	—
358	#41×C₆₁	—	4	12	no	—
359	#41×C₆₁	—	4	12	no	—
360	#41×C₆₁	—	4	12	no	—
361	#41×C₆₁	—	4	12	no	—
362	#41×C₆₁	—	4	12	no	—
363	#41×C₆₁	—	4	12	no	—
364	C₂×Q₈×C₆₁	—	2	4	no	—
365	C₂×Q₈×C₆₁	—	2	8	no	—
366	C₂×Q₈×C₆₁	—	2	8	no	—
367	C₂×Q₈×C₆₁	—	4	6	no	—
368	C₂×Q₈×C₆₁	—	4	12	no	—
369	C₂×Q₈×C₆₁	—	4	12	no	—
370	C₂×Q₈×C₆₁	C₂⁴	1	6	yes	—
371	C₂×Q₈×C₆₁	C₂⁴	1	3	yes	—
372	C₂×Q₈×C₆₁	C₂⁴	1	6	yes	—
373	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
374	C₂×Q₈×C₆₁	C₂⁴	1	3	yes	—
375	C₂×Q₈×C₆₁	C₂⁴	1	6	yes	—
376	C₂×Q₈×C₆₁	C₂⁴	1	6	yes	—
377	C₂×Q₈×C₆₁	C₂⁴	1	6	yes	—
378	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
379	C₂×D₄×C₆₁	—	4	6	no	—
380	C₂×D₄×C₆₁	—	4	12	no	—
381	C₂×D₄×C₆₁	—	4	6	no	—
382	C₂×D₄×C₆₁	—	4	12	no	—
383	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
384	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
385	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
386	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
387	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
388	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
389	C₂×D₄×C₆₁	C₂⁴	1	12	yes	—
390	C₂×D₄×C₆₁	C₂⁴	1	3	yes	—
391	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
392	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
393	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
394	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
395	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
396	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
397	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
398	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
399	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
400	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
401	C₂×D₄×C₆₁	C₂⁴	1	12	yes	—
402	C₂²×C₄×C₆₁	—	4	6	no	—
403	C₂²×C₄×C₆₁	—	4	6	no	—
404	C₂²×C₄×C₆₁	—	4	12	no	—
405	C₂²×C₄×C₆₁	C₂⁴	1	3	yes	—
406	C₂²×C₄×C₆₁	C₂⁴	1	3	yes	—
407	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
408	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
409	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
410	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
411	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
413	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
414	C₂²×C₄×C₆₁	C₂⁴	1	3	yes	—
415	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₆₁	C₂⁴	1	12	yes	—
417	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
418	C₂²×C₄×C₆₁	C₂⁴	1	12	yes	—
419	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
420	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
421	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
422	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
423	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
424	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
425	C₄⋊C₄×C₆₁	C₂⁴	1	3	yes	—
426	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
427	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
428	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
429	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
430	C₄⋊C₄×C₆₁	C₂⁴	1	3	yes	—
431	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
432	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
433	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
434	C₄⋊C₄×C₆₁	C₂⁴	1	12	yes	—
435	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
436	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
437	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
438	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
439	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
440	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
441	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
442	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
443	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
444	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
445	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
446	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
447	C₄⋊C₄×C₆₁	C₂⁴	1	12	yes	—
448	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
449	C₄⋊C₄×C₆₁	C₂⁴	1	3	yes	—
450	C₄⋊C₄×C₆₁	C₂⁴	1	3	yes	—
451	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
452	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
453	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
454	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
455	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
456	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
457	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
458	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
459	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
460	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
461	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
462	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
463	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
464	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
465	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
466	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
467	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
468	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
469	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
470	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
471	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
472	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
473	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
474	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
475	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
476	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
477	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
478	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
479	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
480	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
481	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
482	C₄²×C₆₁	C₂⁴	1	2	yes	—
483	C₄²×C₆₁	C₂⁴	1	6	yes	—
484	C₄²×C₆₁	C₂⁴	1	3	yes	—
485	C₄²×C₆₁	C₂⁴	1	6	yes	—
486	C₄²×C₆₁	C₂⁴	1	6	yes	—
487	C₄²×C₆₁	C₂⁴	1	3	yes	—
488	C₄²×C₆₁	C₂⁴	1	3	yes	—
489	C₄²×C₆₁	C₂⁴	1	3	yes	—
490	C₄²×C₆₁	C₂⁴	1	12	yes	—
491	C₄²×C₆₁	C₂⁴	1	12	yes	—
492	C₂³×C₆₁	—	2	2	no	—
493	C₂³×C₆₁	—	2	6	no	—
494	C₂³×C₆₁	—	4	1	no	—
495	C₂³×C₆₁	—	4	1	no	—
496	C₂³×C₆₁	—	4	3	no	—
497	C₂³×C₆₁	—	4	6	no	—
498	C₂³×C₆₁	—	4	6	no	—
499	C₂³×C₆₁	—	4	3	no	—
500	C₂³×C₆₁	—	4	6	no	—
501	C₂³×C₆₁	C₂⁵	1	2	yes	—
502	C₂³×C₆₁	C₂⁵	1	6	yes	—
503	C₂³×C₆₁	C₂⁵	1	2	yes	—
504	C₂³×C₆₁	C₂⁵	1	6	yes	—
505	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
506	Q₈×C₆₁	—	2	12	no	—
507	Q₈×C₆₁	—	2	6	no	—
508	Q₈×C₆₁	—	2	12	no	—
509	Q₈×C₆₁	—	4	6	no	—
510	Q₈×C₆₁	—	4	6	no	—
511	Q₈×C₆₁	—	4	1	no	—
512	Q₈×C₆₁	—	4	3	no	—
513	Q₈×C₆₁	—	4	6	no	—
514	Q₈×C₆₁	H(5,𝔽₂)	1	4	yes	—
515	D₄×C₆₁	—	2	4	no	—
516	D₄×C₆₁	—	2	12	no	—
517	D₄×C₆₁	—	2	12	no	—
518	D₄×C₆₁	—	2	12	no	—
519	D₄×C₆₁	—	4	6	no	—
520	D₄×C₆₁	—	4	6	no	—
521	D₄×C₆₁	—	4	6	no	—
522	D₄×C₆₁	—	4	6	no	—
523	D₄×C₆₁	—	4	12	no	—
524	D₄×C₆₁	—	4	6	no	—
525	D₄×C₆₁	—	4	2	no	—
526	D₄×C₆₁	—	4	12	no	—
527	D₄×C₆₁	—	4	6	no	—
528	D₄×C₆₁	—	4	3	no	—
529	D₄×C₆₁	—	4	1	no	—
530	D₄×C₆₁	—	4	6	no	—
531	D₄×C₆₁	—	4	2	no	—
532	D₄×C₆₁	—	4	6	no	—
533	D₄×C₆₁	—	4	6	no	—
534	C₂×C₄×C₆₁	—	2	6	no	—
535	C₂×C₄×C₆₁	—	2	6	no	—
536	C₂×C₄×C₆₁	—	2	12	no	—
537	C₂×C₄×C₆₁	—	2	12	no	—
538	C₂×C₄×C₆₁	—	2	12	no	—
539	C₂×C₄×C₆₁	—	2	12	no	—
540	C₂×C₄×C₆₁	—	4	1	no	—
541	C₂×C₄×C₆₁	—	4	2	no	—
542	C₂×C₄×C₆₁	—	4	6	no	—
543	C₂×C₄×C₆₁	—	4	3	no	—
544	C₂×C₄×C₆₁	—	4	6	no	—
545	C₂×C₄×C₆₁	—	4	6	no	—
546	C₂×C₄×C₆₁	—	4	6	no	—
547	C₂×C₄×C₆₁	—	4	6	no	—
548	C₂×C₄×C₆₁	—	4	1	no	—
549	C₂×C₄×C₆₁	—	4	6	no	—
550	C₂×C₄×C₆₁	—	4	12	no	—
551	C₂×C₄×C₆₁	—	4	12	no	—
552	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
553	C₂×C₄×C₆₁	C₂⁵	1	6	yes	—
554	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
555	C₂×C₄×C₆₁	C₂⁵	1	3	yes	—
556	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
557	C₂×C₄×C₆₁	C₂⁵	1	6	yes	—
558	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
559	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
560	C₂×C₄×C₆₁	C₂⁵	1	6	yes	—
561	C₂×C₄×C₆₁	C₂⁵	1	3	yes	—
562	C₂×C₄×C₆₁	C₂⁵	1	3	yes	—
563	C₂×C₄×C₆₁	C₂⁵	1	6	yes	—
564	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
565	C₂×C₄×C₆₁	C₂⁵	1	3	yes	—
566	#62897	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
567	C₂²×C₆₁	—	2	1	no	—
568	C₂²×C₆₁	—	2	1	no	—
569	C₂²×C₆₁	—	2	2	no	—
570	C₂²×C₆₁	—	2	2	no	—
571	C₂²×C₆₁	—	2	6	no	—
572	C₂²×C₆₁	—	2	6	no	—
573	C₂²×C₆₁	—	2	6	no	—
574	C₂²×C₆₁	—	2	6	no	—
575	C₂²×C₆₁	—	2	2	no	—
576	C₂²×C₆₁	—	2	2	no	—
577	C₂²×C₆₁	—	2	6	no	—
578	C₂²×C₆₁	—	2	2	no	—
579	C₂²×C₆₁	—	2	6	no	—
580	C₂²×C₆₁	—	2	2	no	—
581	C₂²×C₆₁	—	4	4	no	—
582	C₂²×C₆₁	—	8	6	no	—
583	C₂²×C₆₁	—	8	12	no	—
584	C₂²×C₆₁	#585	1	2	yes	—
585	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
586	C₄×C₆₁	—	2	2	no	—
587	C₄×C₆₁	—	2	2	no	—
588	C₄×C₆₁	—	2	6	no	—
589	C₄×C₆₁	—	2	3	no	—
590	C₄×C₆₁	—	2	6	no	—
591	C₄×C₆₁	—	2	3	no	—
592	C₄×C₆₁	—	2	3	no	—
593	C₄×C₆₁	—	2	2	no	—
594	C₄×C₆₁	—	2	6	no	—
595	C₄×C₆₁	—	2	2	no	—
596	C₄×C₆₁	—	2	6	no	—
597	C₄×C₆₁	—	2	1	no	—
598	C₄×C₆₁	—	2	1	no	—
599	C₄×C₆₁	C₂×H(5,𝔽₂)	1	6	yes	—
600	#3562	C₂×C₆₁	1	6	yes	complemented
601	#3561	C₂×C₆₁	1	3	yes	complemented
602	#3558	C₂×C₆₁	1	3	yes	complemented
603	#3554	C₂×C₆₁	1	6	yes	complemented
604	#3542	C₂×C₆₁	1	6	yes	complemented
605	#3541	C₂×C₆₁	1	6	yes	complemented
606	#3540	C₂×C₆₁	1	6	yes	complemented
607	#3524	C₂×C₆₁	1	2	yes	complemented
608	#3523	C₂×C₆₁	1	1	yes	characteristic, complemented
609	#3522	C₂×C₆₁	1	1	yes	characteristic, complemented
610	#3520	C₂×C₆₁	1	6	yes	complemented
611	#3518	C₂×C₆₁	1	2	yes	complemented
612	#3506	C₂×C₆₁	1	3	yes	complemented
613	#3489	C₂×C₆₁	1	2	yes	complemented
614	#3487	C₂×C₆₁	1	2	yes	complemented
615	#3486	C₂×C₆₁	1	2	yes	complemented
616	D₄×#41	C₂×C₆₁	1	2	yes	complemented
617	C₂×#548	C₂×C₆₁	1	1	yes	characteristic, complemented
618	#3459	C₂×C₆₁	1	3	yes	complemented
619	C₂×C₆₁	—	2	2	no	—
620	C₂×C₆₁	—	4	2	no	—
621	C₂×C₆₁	—	4	6	no	—
622	C₂×C₆₁	—	4	6	no	—
623	C₂×C₆₁	—	4	2	no	—
624	C₂×C₆₁	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
625	C₂×C₆₁	C₂×#585	1	1	yes	characteristic
626	C₂×C₆₁	2₋¹⁺⁶	1	1	yes	characteristic
627	C₂×2₋¹⁺⁴	C₂²×C₆₁	1	2	yes	complemented
628	C₂²×#41	C₂²×C₆₁	1	1	yes	characteristic
629	C₂²×#41	C₂²×C₆₁	1	2	yes	complemented
630	C₂³×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
631	#563	C₂²×C₆₁	1	6	yes	complemented
632	#562	C₂²×C₆₁	1	12	yes	complemented
633	#562	C₂²×C₆₁	1	6	yes	complemented
634	#562	C₂²×C₆₁	1	6	yes	complemented
635	H(3,𝔽₄)	C₂²×C₆₁	1	6	yes	complemented
636	#560	C₂²×C₆₁	1	12	yes	complemented
637	#559	C₂²×C₆₁	1	12	yes	complemented
638	#559	C₂²×C₆₁	1	3	yes	complemented
639	#559	C₂²×C₆₁	1	6	yes	complemented
640	Q₈²	C₂²×C₆₁	1	1	yes	characteristic, complemented
641	#557	C₂²×C₆₁	1	1	yes	characteristic, complemented
642	#557	C₂²×C₆₁	1	3	yes	complemented
643	#556	C₂²×C₆₁	1	6	yes	complemented
644	#556	C₂²×C₆₁	1	6	yes	complemented
645	#556	C₂²×C₆₁	1	6	yes	complemented
646	#556	C₂²×C₆₁	1	3	yes	complemented
647	#555	C₂²×C₆₁	1	6	yes	complemented
648	#555	C₂²×C₆₁	1	6	yes	complemented
649	#554	C₂²×C₆₁	1	12	yes	complemented
650	#554	C₂²×C₆₁	1	3	yes	complemented
651	#553	C₂²×C₆₁	1	12	yes	complemented
652	#553	C₂²×C₆₁	1	6	yes	complemented
653	#552	C₂²×C₆₁	1	6	yes	complemented
654	#552	C₂²×C₆₁	1	6	yes	complemented
655	#551	C₂²×C₆₁	1	12	yes	complemented
656	#551	C₂²×C₆₁	1	12	yes	complemented
657	#550	C₂²×C₆₁	1	2	yes	complemented
658	#550	C₂²×C₆₁	1	1	yes	characteristic, complemented
659	#550	C₂²×C₆₁	1	6	yes	complemented
660	#550	C₂²×C₆₁	1	6	yes	complemented
661	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
662	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
663	D₄×Q₈	C₂²×C₆₁	1	6	yes	complemented
664	D₄×Q₈	C₂²×C₆₁	1	6	yes	complemented
665	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
666	#548	C₂²×C₆₁	1	2	yes	complemented
667	#548	C₂²×C₆₁	1	2	yes	complemented
668	#548	C₂²×C₆₁	1	6	yes	complemented
669	#548	C₂²×C₆₁	1	6	yes	complemented
670	#548	C₂²×C₆₁	1	2	yes	complemented
671	#548	C₂²×C₆₁	1	2	yes	complemented
672	#548	C₂²×C₆₁	1	2	yes	complemented
673	#548	C₂²×C₆₁	1	6	yes	complemented
674	#548	C₂²×C₆₁	1	6	yes	complemented
675	#548	C₂²×C₆₁	1	6	yes	complemented
676	#548	C₂²×C₆₁	1	6	yes	complemented
677	#547	C₂²×C₆₁	1	6	yes	complemented
678	#547	C₂²×C₆₁	1	6	yes	complemented
679	#547	C₂²×C₆₁	1	6	yes	complemented
680	#547	C₂²×C₆₁	1	6	yes	complemented
681	#546	C₂²×C₆₁	1	6	yes	complemented
682	#546	C₂²×C₆₁	1	6	yes	complemented
683	#546	C₂²×C₆₁	1	6	yes	complemented
684	#546	C₂²×C₆₁	1	6	yes	complemented
685	#546	C₂²×C₆₁	1	12	yes	complemented
686	D₄²	C₂²×C₆₁	1	6	yes	complemented
687	#543	C₂²×C₆₁	1	3	yes	complemented
688	#542	C₂²×C₆₁	1	6	yes	complemented
689	#542	C₂²×C₆₁	1	6	yes	complemented
690	#542	C₂²×C₆₁	1	12	yes	complemented
691	#542	C₂²×C₆₁	1	6	yes	complemented
692	#542	C₂²×C₆₁	1	6	yes	complemented
693	#542	C₂²×C₆₁	1	12	yes	complemented
694	#541	C₂²×C₆₁	1	6	yes	complemented
695	#540	C₂²×C₆₁	1	6	yes	complemented
696	#540	C₂²×C₆₁	1	12	yes	complemented
697	#539	C₂²×C₆₁	1	6	yes	complemented
698	#539	C₂²×C₆₁	1	6	yes	complemented
699	#539	C₂²×C₆₁	1	6	yes	complemented
700	#539	C₂²×C₆₁	1	12	yes	complemented
701	#538	C₂²×C₆₁	1	1	yes	characteristic
702	#538	C₂²×C₆₁	1	3	yes	complemented
703	#538	C₂²×C₆₁	1	6	yes	complemented
704	#538	C₂²×C₆₁	1	6	yes	complemented
705	#538	C₂²×C₆₁	1	6	yes	complemented
706	#538	C₂²×C₆₁	1	12	yes	complemented
707	#538	C₂²×C₆₁	1	12	yes	complemented
708	#537	C₂²×C₆₁	1	6	yes	complemented
709	#536	C₂²×C₆₁	1	6	yes	complemented
710	#536	C₂²×C₆₁	1	6	yes	complemented
711	#536	C₂²×C₆₁	1	6	yes	complemented
712	#535	C₂²×C₆₁	1	6	yes	complemented
713	#535	C₂²×C₆₁	1	6	yes	complemented
714	#535	C₂²×C₆₁	1	6	yes	complemented
715	#534	C₂²×C₆₁	1	3	yes	—
716	#534	C₂²×C₆₁	1	6	yes	complemented
717	#533	C₂²×C₆₁	1	3	yes	complemented
718	#533	C₂²×C₆₁	1	6	yes	complemented
719	#532	C₂²×C₆₁	1	6	yes	complemented
720	#532	C₂²×C₆₁	1	3	yes	complemented
721	#529	C₂²×C₆₁	1	3	yes	—
722	#529	C₂²×C₆₁	1	6	yes	complemented
723	#529	C₂²×C₆₁	1	3	yes	complemented
724	#529	C₂²×C₆₁	1	6	yes	complemented
725	#529	C₂²×C₆₁	1	6	yes	complemented
726	C₂×#124	C₂²×C₆₁	1	3	yes	complemented
727	#525	C₂²×C₆₁	1	6	yes	complemented
728	#525	C₂²×C₆₁	1	6	yes	complemented
729	#525	C₂²×C₆₁	1	6	yes	complemented
730	#525	C₂²×C₆₁	1	6	yes	complemented
731	#525	C₂²×C₆₁	1	6	yes	complemented
732	#525	C₂²×C₆₁	1	6	yes	complemented
733	#525	C₂²×C₆₁	1	6	yes	complemented
734	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	3	yes	complemented
735	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	6	yes	complemented
736	C₂×#121	C₂²×C₆₁	1	3	yes	complemented
737	#520	C₂²×C₆₁	1	2	yes	complemented
738	#520	C₂²×C₆₁	1	6	yes	complemented
739	#519	C₂²×C₆₁	1	2	yes	complemented
740	#519	C₂²×C₆₁	1	2	yes	complemented
741	C₄×#41	C₂²×C₆₁	1	2	yes	complemented
742	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
743	C₂×C₄×D₄	C₂²×C₆₁	1	3	yes	complemented
744	C₂×C₄×D₄	C₂²×C₆₁	1	6	yes	complemented
745	C₆₁	#62897	1	1	yes	characteristic, direct product factor, Sylow
746	2₋¹⁺⁴	—	4	8	no	—
747	C₂×#41	—	4	4	no	—
748	C₂×#41	—	4	8	no	—
749	C₂×#41	C₂³×C₆₁	1	2	yes	—
750	C₂×#41	C₂³×C₆₁	1	2	yes	—
751	C₂×#41	C₂³×C₆₁	1	6	yes	—
752	C₂×#41	C₂³×C₆₁	1	6	yes	—
753	C₂×#41	C₂³×C₆₁	1	6	yes	—
754	C₂×#41	C₂³×C₆₁	1	6	yes	—
755	C₂×#41	C₂³×C₆₁	1	6	yes	—
756	C₂×#41	C₂³×C₆₁	1	6	yes	—
757	C₂×#41	C₂³×C₆₁	1	6	yes	—
758	C₂²×Q₈	—	4	4	no	—
759	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
760	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
761	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
762	C₂²×Q₈	C₂³×C₆₁	1	3	yes	—
763	C₂²×Q₈	C₂³×C₆₁	1	6	yes	—
764	C₂²×Q₈	C₂³×C₆₁	1	6	yes	—
765	C₂²×D₄	C₂³×C₆₁	1	3	yes	—
766	C₂²×D₄	C₂³×C₆₁	1	6	yes	—
767	C₂²×D₄	C₂³×C₆₁	1	3	yes	—
768	C₂²×D₄	C₂³×C₆₁	1	6	yes	—
769	C₂³×C₄	C₂³×C₆₁	1	3	yes	—
770	C₂³×C₄	C₂³×C₆₁	1	3	yes	—
771	C₂³×C₄	C₂³×C₆₁	1	6	yes	—
772	C₄⋊Q₈	C₂³×C₆₁	1	6	yes	—
773	C₄⋊Q₈	C₂³×C₆₁	1	3	yes	—
774	C₄⋊Q₈	C₂³×C₆₁	1	3	yes	—
775	C₄⋊Q₈	C₂³×C₆₁	1	6	yes	—
776	C₄⋊Q₈	C₂³×C₆₁	1	6	yes	—
777	C₄⋊Q₈	C₂³×C₆₁	1	3	yes	—
778	C₄⋊Q₈	C₂³×C₆₁	1	12	yes	—
779	#127	C₂³×C₆₁	1	3	yes	—
780	#127	C₂³×C₆₁	1	6	yes	—
781	#127	C₂³×C₆₁	1	12	yes	—
782	#126	C₂³×C₆₁	1	6	yes	—
783	#126	C₂³×C₆₁	1	2	yes	—
784	#126	C₂³×C₆₁	1	6	yes	—
785	#126	C₂³×C₆₁	1	6	yes	—
786	#126	C₂³×C₆₁	1	6	yes	—
787	#126	C₂³×C₆₁	1	6	yes	—
788	#126	C₂³×C₆₁	1	12	yes	—
789	#126	C₂³×C₆₁	1	12	yes	—
790	#126	C₂³×C₆₁	1	12	yes	—
791	#126	C₂³×C₆₁	1	12	yes	—
792	#125	C₂³×C₆₁	1	3	yes	—
793	#125	C₂³×C₆₁	1	6	yes	—
794	#125	C₂³×C₆₁	1	6	yes	—
795	#125	C₂³×C₆₁	1	3	yes	—
796	#125	C₂³×C₆₁	1	6	yes	—
797	#125	C₂³×C₆₁	1	6	yes	—
798	#125	C₂³×C₆₁	1	12	yes	—
799	#124	C₂³×C₆₁	1	6	yes	—
800	#124	C₂³×C₆₁	1	6	yes	—
801	#124	C₂³×C₆₁	1	6	yes	—
802	#124	C₂³×C₆₁	1	6	yes	—
803	#124	C₂³×C₆₁	1	3	yes	—
804	#124	C₂³×C₆₁	1	2	yes	—
805	#124	C₂³×C₆₁	1	6	yes	—
806	#124	C₂³×C₆₁	1	6	yes	—
807	#124	C₂³×C₆₁	1	3	yes	—
808	#124	C₂³×C₆₁	1	6	yes	—
809	#124	C₂³×C₆₁	1	6	yes	—
810	#124	C₂³×C₆₁	1	6	yes	—
811	#124	C₂³×C₆₁	1	12	yes	—
812	#124	C₂³×C₆₁	1	12	yes	—
813	#124	C₂³×C₆₁	1	12	yes	—
814	#124	C₂³×C₆₁	1	12	yes	—
815	#124	C₂³×C₆₁	1	12	yes	—
816	#123	C₂³×C₆₁	1	2	yes	—
817	#123	C₂³×C₆₁	1	6	yes	—
818	#123	C₂³×C₆₁	1	6	yes	—
819	#123	C₂³×C₆₁	1	6	yes	—
820	#123	C₂³×C₆₁	1	12	yes	—
821	#123	C₂³×C₆₁	1	6	yes	—
822	#123	C₂³×C₆₁	1	6	yes	—
823	#123	C₂³×C₆₁	1	12	yes	—
824	#123	C₂³×C₆₁	1	12	yes	—
825	#123	C₂³×C₆₁	1	6	yes	—
826	#123	C₂³×C₆₁	1	6	yes	—
827	#123	C₂³×C₆₁	1	6	yes	—
828	#123	C₂³×C₆₁	1	6	yes	—
829	#123	C₂³×C₆₁	1	6	yes	—
830	#123	C₂³×C₆₁	1	6	yes	—
831	#123	C₂³×C₆₁	1	12	yes	—
832	#123	C₂³×C₆₁	1	12	yes	—
833	#123	C₂³×C₆₁	1	12	yes	—
834	#123	C₂³×C₆₁	1	12	yes	—
835	#123	C₂³×C₆₁	1	12	yes	—
836	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
837	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
838	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
839	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
840	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
841	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
842	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
843	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
844	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
845	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
846	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
847	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
848	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
849	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
850	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
851	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
852	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
853	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
854	C₂²⋊Q₈	C₂³×C₆₁	1	3	yes	—
855	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
856	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
857	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
858	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
859	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
860	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
861	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
862	#121	C₂³×C₆₁	1	6	yes	—
863	#121	C₂³×C₆₁	1	6	yes	—
864	#121	C₂³×C₆₁	1	12	yes	—
865	#121	C₂³×C₆₁	1	2	yes	—
866	#121	C₂³×C₆₁	1	6	yes	—
867	#121	C₂³×C₆₁	1	6	yes	—
868	#121	C₂³×C₆₁	1	6	yes	—
869	#121	C₂³×C₆₁	1	6	yes	—
870	#121	C₂³×C₆₁	1	6	yes	—
871	#121	C₂³×C₆₁	1	6	yes	—
872	#121	C₂³×C₆₁	1	6	yes	—
873	#121	C₂³×C₆₁	1	6	yes	—
874	#121	C₂³×C₆₁	1	6	yes	—
875	#121	C₂³×C₆₁	1	6	yes	—
876	#121	C₂³×C₆₁	1	6	yes	—
877	#121	C₂³×C₆₁	1	1	yes	characteristic
878	#121	C₂³×C₆₁	1	3	yes	—
879	#121	C₂³×C₆₁	1	6	yes	—
880	#121	C₂³×C₆₁	1	6	yes	—
881	#121	C₂³×C₆₁	1	12	yes	—
882	#121	C₂³×C₆₁	1	12	yes	—
883	#121	C₂³×C₆₁	1	12	yes	—
884	#121	C₂³×C₆₁	1	12	yes	—
885	#121	C₂³×C₆₁	1	12	yes	—
886	#121	C₂³×C₆₁	1	12	yes	—
887	#121	C₂³×C₆₁	1	12	yes	—
888	#120	C₂³×C₆₁	1	2	yes	—
889	#120	C₂³×C₆₁	1	6	yes	—
890	#120	C₂³×C₆₁	1	6	yes	—
891	#120	C₂³×C₆₁	1	6	yes	—
892	#120	C₂³×C₆₁	1	6	yes	—
893	#120	C₂³×C₆₁	1	6	yes	—
894	#120	C₂³×C₆₁	1	12	yes	—
895	#120	C₂³×C₆₁	1	12	yes	—
896	#120	C₂³×C₆₁	1	12	yes	—
897	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
898	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
899	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
900	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
901	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
902	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
903	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
904	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
905	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
906	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
907	C₄×Q₈	C₂³×C₆₁	1	12	yes	—
908	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
909	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
910	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
911	C₄×D₄	C₂³×C₆₁	1	2	yes	—
912	C₄×D₄	C₂³×C₆₁	1	6	yes	—
913	C₄×D₄	C₂³×C₆₁	1	6	yes	—
914	C₄×D₄	C₂³×C₆₁	1	6	yes	—
915	C₄×D₄	C₂³×C₆₁	1	6	yes	—
916	C₄×D₄	C₂³×C₆₁	1	6	yes	—
917	C₄×D₄	C₂³×C₆₁	1	6	yes	—
918	C₄×D₄	C₂³×C₆₁	1	6	yes	—
919	C₄×D₄	C₂³×C₆₁	1	6	yes	—
920	C₄×D₄	C₂³×C₆₁	1	6	yes	—
921	C₄×D₄	C₂³×C₆₁	1	6	yes	—
922	C₄×D₄	C₂³×C₆₁	1	6	yes	—
923	C₄×D₄	C₂³×C₆₁	1	6	yes	—
924	C₄×D₄	C₂³×C₆₁	1	6	yes	—
925	C₄×D₄	C₂³×C₆₁	1	12	yes	—
926	C₄×D₄	C₂³×C₆₁	1	12	yes	—
927	C₄×D₄	C₂³×C₆₁	1	6	yes	—
928	C₄×D₄	C₂³×C₆₁	1	6	yes	—
929	C₄×D₄	C₂³×C₆₁	1	3	yes	—
930	C₄×D₄	C₂³×C₆₁	1	6	yes	—
931	C₄×D₄	C₂³×C₆₁	1	3	yes	—
932	C₄×D₄	C₂³×C₆₁	1	6	yes	—
933	C₄×D₄	C₂³×C₆₁	1	12	yes	—
934	C₄×D₄	C₂³×C₆₁	1	12	yes	—
935	C₄×D₄	C₂³×C₆₁	1	12	yes	—
936	C₄×D₄	C₂³×C₆₁	1	12	yes	—
937	C₄×D₄	C₂³×C₆₁	1	6	yes	—
938	#117	C₂³×C₆₁	1	6	yes	—
939	#117	C₂³×C₆₁	1	6	yes	—
940	#117	C₂³×C₆₁	1	6	yes	—
941	#117	C₂³×C₆₁	1	6	yes	—
942	#117	C₂³×C₆₁	1	6	yes	—
943	#117	C₂³×C₆₁	1	6	yes	—
944	#117	C₂³×C₆₁	1	12	yes	—
945	#117	C₂³×C₆₁	1	6	yes	—
946	#117	C₂³×C₆₁	1	12	yes	—
947	C₂×C₄⋊C₄	C₂³×C₆₁	1	3	yes	—
948	C₂×C₄⋊C₄	C₂³×C₆₁	1	6	yes	—
949	C₂×C₄⋊C₄	C₂³×C₆₁	1	3	yes	—
950	C₂×C₄⋊C₄	C₂³×C₆₁	1	6	yes	—
951	C₂×C₄⋊C₄	C₂³×C₆₁	1	12	yes	—
952	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂³×C₆₁	1	3	yes	—
954	C₂×C₂²⋊C₄	C₂³×C₆₁	1	6	yes	—
955	C₂×C₂²⋊C₄	C₂³×C₆₁	1	6	yes	—
956	C₂×C₂²⋊C₄	C₂³×C₆₁	1	6	yes	—
957	C₂×C₂²⋊C₄	C₂³×C₆₁	1	12	yes	—
958	C₂×C₄²	C₂³×C₆₁	1	3	yes	—
959	C₂×C₄²	C₂³×C₆₁	1	6	yes	—
960	C₂⁴	C₂⁴×C₆₁	1	3	yes	—
961	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
962	C₂⁴	C₂⁴×C₆₁	1	6	yes	—
963	#41	—	2	8	no	—
964	#41	—	2	8	no	—
965	#41	—	4	12	no	—
966	#41	—	4	12	no	—
967	#41	—	4	12	no	—
968	#41	—	4	12	no	—
969	#41	—	4	12	no	—
970	#41	—	4	12	no	—
971	#41	—	4	12	no	—
972	C₂×Q₈	—	2	4	no	—
973	C₂×Q₈	—	2	8	no	—
974	C₂×Q₈	—	2	8	no	—
975	C₂×Q₈	—	4	6	no	—
976	C₂×Q₈	—	4	12	no	—
977	C₂×Q₈	—	4	12	no	—
978	C₂×Q₈	C₂⁴×C₆₁	1	6	yes	—
979	C₂×Q₈	C₂⁴×C₆₁	1	3	yes	—
980	C₂×Q₈	C₂⁴×C₆₁	1	6	yes	—
981	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
982	C₂×Q₈	C₂⁴×C₆₁	1	3	yes	—
983	C₂×Q₈	C₂⁴×C₆₁	1	6	yes	—
984	C₂×Q₈	C₂⁴×C₆₁	1	6	yes	—
985	C₂×Q₈	C₂⁴×C₆₁	1	6	yes	—
986	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
987	C₂×D₄	—	4	6	no	—
988	C₂×D₄	—	4	12	no	—
989	C₂×D₄	—	4	6	no	—
990	C₂×D₄	—	4	12	no	—
991	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
992	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
993	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
994	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
995	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
996	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
997	C₂×D₄	C₂⁴×C₆₁	1	12	yes	—
998	C₂×D₄	C₂⁴×C₆₁	1	3	yes	—
999	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1000	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1001	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1002	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1003	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1004	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1005	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1006	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1007	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1008	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
1009	C₂×D₄	C₂⁴×C₆₁	1	12	yes	—
1010	C₂²×C₄	—	4	6	no	—
1011	C₂²×C₄	—	4	6	no	—
1012	C₂²×C₄	—	4	12	no	—
1013	C₂²×C₄	C₂⁴×C₆₁	1	3	yes	—
1014	C₂²×C₄	C₂⁴×C₆₁	1	3	yes	—
1015	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1016	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1017	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1018	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1019	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1020	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1021	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1022	C₂²×C₄	C₂⁴×C₆₁	1	3	yes	—
1023	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1024	C₂²×C₄	C₂⁴×C₆₁	1	12	yes	—
1025	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1026	C₂²×C₄	C₂⁴×C₆₁	1	12	yes	—
1027	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1028	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1029	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
1030	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1031	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1032	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1033	C₄⋊C₄	C₂⁴×C₆₁	1	3	yes	—
1034	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1035	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1036	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1037	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1038	C₄⋊C₄	C₂⁴×C₆₁	1	3	yes	—
1039	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1040	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1041	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1042	C₄⋊C₄	C₂⁴×C₆₁	1	12	yes	—
1043	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1044	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1045	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1046	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1047	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1048	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1049	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1050	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1051	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1052	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1053	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1054	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1055	C₄⋊C₄	C₂⁴×C₆₁	1	12	yes	—
1056	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1057	C₄⋊C₄	C₂⁴×C₆₁	1	3	yes	—
1058	C₄⋊C₄	C₂⁴×C₆₁	1	3	yes	—
1059	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1060	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1061	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1062	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1063	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1064	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
1065	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1066	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1067	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
1068	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
1069	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1070	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1071	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1072	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1073	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1074	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1075	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1076	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1077	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1078	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1079	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1080	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1081	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
1082	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
1083	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1084	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1085	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1086	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1087	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1088	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
1089	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
1090	C₄²	C₂⁴×C₆₁	1	2	yes	—
1091	C₄²	C₂⁴×C₆₁	1	6	yes	—
1092	C₄²	C₂⁴×C₆₁	1	3	yes	—
1093	C₄²	C₂⁴×C₆₁	1	6	yes	—
1094	C₄²	C₂⁴×C₆₁	1	6	yes	—
1095	C₄²	C₂⁴×C₆₁	1	3	yes	—
1096	C₄²	C₂⁴×C₆₁	1	3	yes	—
1097	C₄²	C₂⁴×C₆₁	1	3	yes	—
1098	C₄²	C₂⁴×C₆₁	1	12	yes	—
1099	C₄²	C₂⁴×C₆₁	1	12	yes	—
1100	C₂³	—	2	2	no	—
1101	C₂³	—	2	6	no	—
1102	C₂³	—	4	1	no	—
1103	C₂³	—	4	1	no	—
1104	C₂³	—	4	3	no	—
1105	C₂³	—	4	6	no	—
1106	C₂³	—	4	6	no	—
1107	C₂³	—	4	3	no	—
1108	C₂³	—	4	6	no	—
1109	C₂³	C₂⁵×C₆₁	1	2	yes	—
1110	C₂³	C₂⁵×C₆₁	1	6	yes	—
1111	C₂³	C₂⁵×C₆₁	1	2	yes	—
1112	C₂³	C₂⁵×C₆₁	1	6	yes	—
1113	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1114	Q₈	—	2	12	no	—
1115	Q₈	—	2	6	no	—
1116	Q₈	—	2	12	no	—
1117	Q₈	—	4	6	no	—
1118	Q₈	—	4	6	no	—
1119	Q₈	—	4	1	no	—
1120	Q₈	—	4	3	no	—
1121	Q₈	—	4	6	no	—
1122	Q₈	H(5,𝔽₂)×C₆₁	1	4	yes	—
1123	D₄	—	2	4	no	—
1124	D₄	—	2	12	no	—
1125	D₄	—	2	12	no	—
1126	D₄	—	2	12	no	—
1127	D₄	—	4	6	no	—
1128	D₄	—	4	6	no	—
1129	D₄	—	4	6	no	—
1130	D₄	—	4	6	no	—
1131	D₄	—	4	12	no	—
1132	D₄	—	4	6	no	—
1133	D₄	—	4	2	no	—
1134	D₄	—	4	12	no	—
1135	D₄	—	4	6	no	—
1136	D₄	—	4	3	no	—
1137	D₄	—	4	1	no	—
1138	D₄	—	4	6	no	—
1139	D₄	—	4	2	no	—
1140	D₄	—	4	6	no	—
1141	D₄	—	4	6	no	—
1142	C₂×C₄	—	2	6	no	—
1143	C₂×C₄	—	2	6	no	—
1144	C₂×C₄	—	2	12	no	—
1145	C₂×C₄	—	2	12	no	—
1146	C₂×C₄	—	2	12	no	—
1147	C₂×C₄	—	2	12	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	2	no	—
1150	C₂×C₄	—	4	6	no	—
1151	C₂×C₄	—	4	3	no	—
1152	C₂×C₄	—	4	6	no	—
1153	C₂×C₄	—	4	6	no	—
1154	C₂×C₄	—	4	6	no	—
1155	C₂×C₄	—	4	6	no	—
1156	C₂×C₄	—	4	1	no	—
1157	C₂×C₄	—	4	6	no	—
1158	C₂×C₄	—	4	12	no	—
1159	C₂×C₄	—	4	12	no	—
1160	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1161	C₂×C₄	C₂⁵×C₆₁	1	6	yes	—
1162	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1163	C₂×C₄	C₂⁵×C₆₁	1	3	yes	—
1164	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1165	C₂×C₄	C₂⁵×C₆₁	1	6	yes	—
1166	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1167	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1168	C₂×C₄	C₂⁵×C₆₁	1	6	yes	—
1169	C₂×C₄	C₂⁵×C₆₁	1	3	yes	—
1170	C₂×C₄	C₂⁵×C₆₁	1	3	yes	—
1171	C₂×C₄	C₂⁵×C₆₁	1	6	yes	—
1172	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1173	C₂×C₄	C₂⁵×C₆₁	1	3	yes	—
1174	C₂²	—	2	1	no	—
1175	C₂²	—	2	1	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	6	no	—
1179	C₂²	—	2	6	no	—
1180	C₂²	—	2	6	no	—
1181	C₂²	—	2	6	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	2	2	no	—
1184	C₂²	—	2	6	no	—
1185	C₂²	—	2	2	no	—
1186	C₂²	—	2	6	no	—
1187	C₂²	—	2	2	no	—
1188	C₂²	—	4	4	no	—
1189	C₂²	—	8	6	no	—
1190	C₂²	—	8	12	no	—
1191	C₂²	C₆₁×#585	1	2	yes	—
1192	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
1193	C₄	—	2	2	no	—
1194	C₄	—	2	2	no	—
1195	C₄	—	2	6	no	—
1196	C₄	—	2	3	no	—
1197	C₄	—	2	6	no	—
1198	C₄	—	2	3	no	—
1199	C₄	—	2	3	no	—
1200	C₄	—	2	2	no	—
1201	C₄	—	2	6	no	—
1202	C₄	—	2	2	no	—
1203	C₄	—	2	6	no	—
1204	C₄	—	2	1	no	—
1205	C₄	—	2	1	no	—
1206	C₄	C₂×H(5,𝔽₂)×C₆₁	1	6	yes	—
1207	C₂	—	2	2	no	—
1208	C₂	—	4	2	no	—
1209	C₂	—	4	2	no	—
1210	C₂	—	4	6	no	—
1211	C₂	—	4	6	no	—
1212	C₂	C₂²×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1213	C₂	C₂×C₆₁×#585	1	1	yes	characteristic
1214	C₂	C₆₁×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₆₁
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3562	C₂	semidirect
2. C₆₁×#3561	C₂	semidirect
3. C₆₁×#3558	C₂	semidirect
4. C₆₁×#3554	C₂	semidirect
5. C₆₁×#3542	C₂	semidirect
6. C₆₁×#3541	C₂	semidirect
7. C₆₁×#3540	C₂	semidirect
8. C₆₁×#3524	C₂	semidirect
9. C₆₁×#3523	C₂	semidirect
10. C₆₁×#3522	C₂	semidirect
11. C₆₁×#3520	C₂	semidirect
12. C₆₁×#3518	C₂	semidirect
13. C₆₁×#3506	C₂	semidirect
14. C₆₁×#3489	C₂	semidirect
15. C₆₁×#3487	C₂	semidirect
16. C₆₁×#3486	C₂	semidirect
17. D₄×#41×C₆₁	C₂	semidirect
18. C₂×C₆₁×#548	C₂	semidirect
19. C₆₁×#3459	C₂	semidirect
20. C₂×2₋¹⁺⁴×C₆₁	C₂²	semidirect
22. C₂²×#41×C₆₁	C₂²	semidirect
23. C₂³×Q₈×C₆₁	C₂²	semidirect
24. C₆₁×#563	C₂²	semidirect
25. C₆₁×#562	C₂²	semidirect
26. C₆₁×#562	C₂²	semidirect
27. C₆₁×#562	C₂²	semidirect
28. C₆₁×H(3,𝔽₄)	C₂²	semidirect
29. C₆₁×#560	C₂²	semidirect
30. C₆₁×#559	C₂²	semidirect
31. C₆₁×#559	C₂²	semidirect
32. C₆₁×#559	C₂²	semidirect
33. Q₈²×C₆₁	C₂²	semidirect
34. C₆₁×#557	C₂²	semidirect
35. C₆₁×#557	C₂²	semidirect
36. C₆₁×#556	C₂²	semidirect
37. C₆₁×#556	C₂²	semidirect
38. C₆₁×#556	C₂²	semidirect
39. C₆₁×#556	C₂²	semidirect
40. C₆₁×#555	C₂²	semidirect
41. C₆₁×#555	C₂²	semidirect
42. C₆₁×#554	C₂²	semidirect
43. C₆₁×#554	C₂²	semidirect
44. C₆₁×#553	C₂²	semidirect
45. C₆₁×#553	C₂²	semidirect
46. C₆₁×#552	C₂²	semidirect
47. C₆₁×#552	C₂²	semidirect
48. C₆₁×#551	C₂²	semidirect
49. C₆₁×#551	C₂²	semidirect
50. C₆₁×#550	C₂²	semidirect
51. C₆₁×#550	C₂²	semidirect
52. C₆₁×#550	C₂²	semidirect
53. C₆₁×#550	C₂²	semidirect
54. D₄×Q₈×C₆₁	C₂²	semidirect
55. D₄×Q₈×C₆₁	C₂²	semidirect
56. D₄×Q₈×C₆₁	C₂²	semidirect
57. D₄×Q₈×C₆₁	C₂²	semidirect
58. D₄×Q₈×C₆₁	C₂²	semidirect
59. C₆₁×#548	C₂²	semidirect
60. C₆₁×#548	C₂²	semidirect
61. C₆₁×#548	C₂²	semidirect
62. C₆₁×#548	C₂²	semidirect
63. C₆₁×#548	C₂²	semidirect
64. C₆₁×#548	C₂²	semidirect
65. C₆₁×#548	C₂²	semidirect
66. C₆₁×#548	C₂²	semidirect
67. C₆₁×#548	C₂²	semidirect
68. C₆₁×#548	C₂²	semidirect
69. C₆₁×#548	C₂²	semidirect
70. C₆₁×#547	C₂²	semidirect
71. C₆₁×#547	C₂²	semidirect
72. C₆₁×#547	C₂²	semidirect
73. C₆₁×#547	C₂²	semidirect
74. C₆₁×#546	C₂²	semidirect
75. C₆₁×#546	C₂²	semidirect
76. C₆₁×#546	C₂²	semidirect
77. C₆₁×#546	C₂²	semidirect
78. C₆₁×#546	C₂²	semidirect
79. D₄²×C₆₁	C₂²	semidirect
80. C₆₁×#543	C₂²	semidirect
81. C₆₁×#542	C₂²	semidirect
82. C₆₁×#542	C₂²	semidirect
83. C₆₁×#542	C₂²	semidirect
84. C₆₁×#542	C₂²	semidirect
85. C₆₁×#542	C₂²	semidirect
86. C₆₁×#542	C₂²	semidirect
87. C₆₁×#541	C₂²	semidirect
88. C₆₁×#540	C₂²	semidirect
89. C₆₁×#540	C₂²	semidirect
90. C₆₁×#539	C₂²	semidirect
91. C₆₁×#539	C₂²	semidirect
92. C₆₁×#539	C₂²	semidirect
93. C₆₁×#539	C₂²	semidirect
95. C₆₁×#538	C₂²	semidirect
96. C₆₁×#538	C₂²	semidirect
97. C₆₁×#538	C₂²	semidirect
98. C₆₁×#538	C₂²	semidirect
99. C₆₁×#538	C₂²	semidirect
100. C₆₁×#538	C₂²	semidirect
101. C₆₁×#537	C₂²	semidirect
102. C₆₁×#536	C₂²	semidirect
103. C₆₁×#536	C₂²	semidirect
104. C₆₁×#536	C₂²	semidirect
105. C₆₁×#535	C₂²	semidirect
106. C₆₁×#535	C₂²	semidirect
107. C₆₁×#535	C₂²	semidirect
109. C₆₁×#534	C₂²	semidirect
110. C₆₁×#533	C₂²	semidirect
111. C₆₁×#533	C₂²	semidirect
112. C₆₁×#532	C₂²	semidirect
113. C₆₁×#532	C₂²	semidirect
115. C₆₁×#529	C₂²	semidirect
116. C₆₁×#529	C₂²	semidirect
117. C₆₁×#529	C₂²	semidirect
118. C₆₁×#529	C₂²	semidirect
119. C₂×#124×C₆₁	C₂²	semidirect
120. C₆₁×#525	C₂²	semidirect
121. C₆₁×#525	C₂²	semidirect
122. C₆₁×#525	C₂²	semidirect
123. C₆₁×#525	C₂²	semidirect
124. C₆₁×#525	C₂²	semidirect
125. C₆₁×#525	C₂²	semidirect
126. C₆₁×#525	C₂²	semidirect
127. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
128. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
129. C₂×#121×C₆₁	C₂²	semidirect
130. C₆₁×#520	C₂²	semidirect
131. C₆₁×#520	C₂²	semidirect
132. C₆₁×#519	C₂²	semidirect
133. C₆₁×#519	C₂²	semidirect
134. C₄×#41×C₆₁	C₂²	semidirect
135. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
136. C₂×C₄×D₄×C₆₁	C₂²	semidirect
137. C₂×C₄×D₄×C₆₁	C₂²	semidirect
566. #62897	C₆₁	direct (N × H)
600. #3562	C₂×C₆₁	semidirect
601. #3561	C₂×C₆₁	semidirect
602. #3558	C₂×C₆₁	semidirect
603. #3554	C₂×C₆₁	semidirect
604. #3542	C₂×C₆₁	semidirect
605. #3541	C₂×C₆₁	semidirect
606. #3540	C₂×C₆₁	semidirect
607. #3524	C₂×C₆₁	semidirect
608. #3523	C₂×C₆₁	semidirect
609. #3522	C₂×C₆₁	semidirect
610. #3520	C₂×C₆₁	semidirect
611. #3518	C₂×C₆₁	semidirect
612. #3506	C₂×C₆₁	semidirect
613. #3489	C₂×C₆₁	semidirect
614. #3487	C₂×C₆₁	semidirect
615. #3486	C₂×C₆₁	semidirect
616. D₄×#41	C₂×C₆₁	semidirect
617. C₂×#548	C₂×C₆₁	semidirect
618. #3459	C₂×C₆₁	semidirect
627. C₂×2₋¹⁺⁴	C₂²×C₆₁	semidirect
629. C₂²×#41	C₂²×C₆₁	semidirect
630. C₂³×Q₈	C₂²×C₆₁	semidirect
631. #563	C₂²×C₆₁	semidirect
632. #562	C₂²×C₆₁	semidirect
633. #562	C₂²×C₆₁	semidirect
634. #562	C₂²×C₆₁	semidirect
635. H(3,𝔽₄)	C₂²×C₆₁	semidirect
636. #560	C₂²×C₆₁	semidirect
637. #559	C₂²×C₆₁	semidirect
638. #559	C₂²×C₆₁	semidirect
639. #559	C₂²×C₆₁	semidirect
640. Q₈²	C₂²×C₆₁	semidirect
641. #557	C₂²×C₆₁	semidirect
642. #557	C₂²×C₆₁	semidirect
643. #556	C₂²×C₆₁	semidirect
644. #556	C₂²×C₆₁	semidirect
645. #556	C₂²×C₆₁	semidirect
646. #556	C₂²×C₆₁	semidirect
647. #555	C₂²×C₆₁	semidirect
648. #555	C₂²×C₆₁	semidirect
649. #554	C₂²×C₆₁	semidirect
650. #554	C₂²×C₆₁	semidirect
651. #553	C₂²×C₆₁	semidirect
652. #553	C₂²×C₆₁	semidirect
653. #552	C₂²×C₆₁	semidirect
654. #552	C₂²×C₆₁	semidirect
655. #551	C₂²×C₆₁	semidirect
656. #551	C₂²×C₆₁	semidirect
657. #550	C₂²×C₆₁	semidirect
658. #550	C₂²×C₆₁	semidirect
659. #550	C₂²×C₆₁	semidirect
660. #550	C₂²×C₆₁	semidirect
661. D₄×Q₈	C₂²×C₆₁	semidirect
662. D₄×Q₈	C₂²×C₆₁	semidirect
663. D₄×Q₈	C₂²×C₆₁	semidirect
664. D₄×Q₈	C₂²×C₆₁	semidirect
665. D₄×Q₈	C₂²×C₆₁	semidirect
666. #548	C₂²×C₆₁	semidirect
667. #548	C₂²×C₆₁	semidirect
668. #548	C₂²×C₆₁	semidirect
669. #548	C₂²×C₆₁	semidirect
670. #548	C₂²×C₆₁	semidirect
671. #548	C₂²×C₆₁	semidirect
672. #548	C₂²×C₆₁	semidirect
673. #548	C₂²×C₆₁	semidirect
674. #548	C₂²×C₆₁	semidirect
675. #548	C₂²×C₆₁	semidirect
676. #548	C₂²×C₆₁	semidirect
677. #547	C₂²×C₆₁	semidirect
678. #547	C₂²×C₆₁	semidirect
679. #547	C₂²×C₆₁	semidirect
680. #547	C₂²×C₆₁	semidirect
681. #546	C₂²×C₆₁	semidirect
682. #546	C₂²×C₆₁	semidirect
683. #546	C₂²×C₆₁	semidirect
684. #546	C₂²×C₆₁	semidirect
685. #546	C₂²×C₆₁	semidirect
686. D₄²	C₂²×C₆₁	semidirect
687. #543	C₂²×C₆₁	semidirect
688. #542	C₂²×C₆₁	semidirect
689. #542	C₂²×C₆₁	semidirect
690. #542	C₂²×C₆₁	semidirect
691. #542	C₂²×C₆₁	semidirect
692. #542	C₂²×C₆₁	semidirect
693. #542	C₂²×C₆₁	semidirect
694. #541	C₂²×C₆₁	semidirect
695. #540	C₂²×C₆₁	semidirect
696. #540	C₂²×C₆₁	semidirect
697. #539	C₂²×C₆₁	semidirect
698. #539	C₂²×C₆₁	semidirect
699. #539	C₂²×C₆₁	semidirect
700. #539	C₂²×C₆₁	semidirect
702. #538	C₂²×C₆₁	semidirect
703. #538	C₂²×C₆₁	semidirect
704. #538	C₂²×C₆₁	semidirect
705. #538	C₂²×C₆₁	semidirect
706. #538	C₂²×C₆₁	semidirect
707. #538	C₂²×C₆₁	semidirect
708. #537	C₂²×C₆₁	semidirect
709. #536	C₂²×C₆₁	semidirect
710. #536	C₂²×C₆₁	semidirect
711. #536	C₂²×C₆₁	semidirect
712. #535	C₂²×C₆₁	semidirect
713. #535	C₂²×C₆₁	semidirect
714. #535	C₂²×C₆₁	semidirect
716. #534	C₂²×C₆₁	semidirect
717. #533	C₂²×C₆₁	semidirect
718. #533	C₂²×C₆₁	semidirect
719. #532	C₂²×C₆₁	semidirect
720. #532	C₂²×C₆₁	semidirect
722. #529	C₂²×C₆₁	semidirect
723. #529	C₂²×C₆₁	semidirect
724. #529	C₂²×C₆₁	semidirect
725. #529	C₂²×C₆₁	semidirect
726. C₂×#124	C₂²×C₆₁	semidirect
727. #525	C₂²×C₆₁	semidirect
728. #525	C₂²×C₆₁	semidirect
729. #525	C₂²×C₆₁	semidirect
730. #525	C₂²×C₆₁	semidirect
731. #525	C₂²×C₆₁	semidirect
732. #525	C₂²×C₆₁	semidirect
733. #525	C₂²×C₆₁	semidirect
734. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
735. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
736. C₂×#121	C₂²×C₆₁	semidirect
737. #520	C₂²×C₆₁	semidirect
738. #520	C₂²×C₆₁	semidirect
739. #519	C₂²×C₆₁	semidirect
740. #519	C₂²×C₆₁	semidirect
741. C₄×#41	C₂²×C₆₁	semidirect
742. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
743. C₂×C₄×D₄	C₂²×C₆₁	semidirect
744. C₂×C₄×D₄	C₂²×C₆₁	semidirect
745. C₆₁	#62897	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×#3562	2
C₆₁×#3561	2
C₆₁×#3558	2
C₆₁×#3554	2
C₆₁×#3542	2
C₆₁×#3541	2
C₆₁×#3540	2
C₆₁×#3524	2
C₆₁×#3523	2
C₆₁×#3522	2
C₆₁×#3520	2
C₆₁×#3518	2
C₆₁×#3506	2
C₆₁×#3489	2
C₆₁×#3487	2
C₆₁×#3486	2
D₄×#41×C₆₁	2
C₂×C₆₁×#548	2
C₆₁×#3459	2
#62897	61

Subgroups — C61×#62897 #29566330

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62897 #29566330