Subgroups — C₆₁×#62932 #29566365

Order 15616.

6354 conjugacy classes of subgroups.

The subgroup lattice has 980 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3564	C₂	1	8	yes	maximal, complemented
2	C₆₁×#3557	C₂	1	8	yes	maximal, complemented
3	C₆₁×#3555	C₂	1	4	yes	maximal, complemented
4	C₆₁×#3555	C₂	1	8	yes	maximal, complemented
5	C₆₁×#3550	C₂	1	4	yes	maximal, complemented
6	C₆₁×#3538	C₂	1	4	yes	maximal, complemented
7	C₆₁×#3523	C₂	1	4	yes	maximal, complemented
8	C₆₁×#3510	C₂	1	4	yes	maximal, complemented
9	C₆₁×#3509	C₂	1	2	yes	maximal, complemented
10	C₆₁×#3507	C₂	1	4	yes	maximal, complemented
11	C₆₁×#3502	C₂	1	2	yes	maximal, complemented
12	C₆₁×#3501	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3495	C₂	1	4	yes	maximal, complemented
14	Q₈×#41×C₆₁	C₂	1	2	yes	maximal, complemented
15	C₂×C₆₁×#556	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3461	C₂	1	2	yes	maximal, complemented
17	C₆₁×#3460	C₂	1	1	yes	maximal, characteristic
18	C₆₁×#563	C₂²	1	16	yes	complemented
19	C₆₁×#563	C₂²	1	16	yes	complemented
20	C₆₁×#563	C₂²	1	16	yes	complemented
21	C₆₁×#559	C₂²	1	8	yes	—
22	C₆₁×#559	C₂²	1	8	yes	—
23	Q₈²×C₆₁	C₂²	1	8	yes	complemented
24	Q₈²×C₆₁	C₂²	1	2	yes	complemented
25	C₆₁×#557	C₂²	1	4	yes	complemented
26	C₆₁×#557	C₂²	1	4	yes	complemented
27	C₆₁×#557	C₂²	1	8	yes	complemented
28	C₆₁×#557	C₂²	1	8	yes	complemented
29	C₆₁×#557	C₂²	1	4	yes	complemented
30	C₆₁×#557	C₂²	1	8	yes	complemented
31	C₆₁×#557	C₂²	1	2	yes	complemented
32	C₆₁×#556	C₂²	1	4	yes	—
33	C₆₁×#556	C₂²	1	8	yes	—
34	C₆₁×#556	C₂²	1	8	yes	—
35	C₆₁×#556	C₂²	1	8	yes	—
36	C₆₁×#556	C₂²	1	4	yes	—
37	C₆₁×#556	C₂²	1	8	yes	complemented
38	C₆₁×#556	C₂²	1	4	yes	complemented
39	C₆₁×#556	C₂²	1	16	yes	complemented
40	C₆₁×#556	C₂²	1	4	yes	complemented
41	C₆₁×#554	C₂²	1	8	yes	—
42	C₆₁×#554	C₂²	1	4	yes	—
43	C₆₁×#554	C₂²	1	8	yes	—
44	C₆₁×#554	C₂²	1	4	yes	—
45	C₆₁×#554	C₂²	1	4	yes	complemented
46	C₆₁×#554	C₂²	1	2	yes	complemented
47	C₆₁×#552	C₂²	1	8	yes	—
48	C₆₁×#552	C₂²	1	8	yes	—
49	C₆₁×#552	C₂²	1	16	yes	complemented
50	C₆₁×#552	C₂²	1	8	yes	complemented
51	C₆₁×#552	C₂²	1	16	yes	complemented
52	C₆₁×#552	C₂²	1	8	yes	complemented
53	C₆₁×#551	C₂²	1	16	yes	—
54	C₆₁×#551	C₂²	1	16	yes	—
55	D₄×Q₈×C₆₁	C₂²	1	4	yes	—
56	D₄×Q₈×C₆₁	C₂²	1	4	yes	—
57	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
58	D₄×Q₈×C₆₁	C₂²	1	8	yes	complemented
59	C₆₁×#544	C₂²	1	8	yes	—
60	C₆₁×#544	C₂²	1	1	yes	characteristic
61	C₆₁×#544	C₂²	1	2	yes	—
62	C₆₁×#544	C₂²	1	4	yes	complemented
63	C₆₁×#544	C₂²	1	8	yes	complemented
64	C₆₁×#543	C₂²	1	4	yes	—
65	C₆₁×#542	C₂²	1	8	yes	—
66	C₆₁×#542	C₂²	1	4	yes	—
67	C₆₁×#542	C₂²	1	8	yes	—
68	C₆₁×#542	C₂²	1	16	yes	complemented
69	C₆₁×#542	C₂²	1	8	yes	complemented
70	C₆₁×#542	C₂²	1	8	yes	complemented
71	C₆₁×#541	C₂²	1	16	yes	complemented
72	C₆₁×#541	C₂²	1	8	yes	complemented
73	C₆₁×#541	C₂²	1	8	yes	complemented
74	C₆₁×#541	C₂²	1	8	yes	complemented
75	C₆₁×#541	C₂²	1	16	yes	complemented
76	C₆₁×#541	C₂²	1	8	yes	complemented
77	C₆₁×#540	C₂²	1	4	yes	—
78	C₆₁×#539	C₂²	1	8	yes	—
79	C₆₁×#539	C₂²	1	8	yes	complemented
80	C₆₁×#539	C₂²	1	16	yes	complemented
81	C₆₁×#538	C₂²	1	4	yes	—
82	C₆₁×#537	C₂²	1	1	yes	characteristic
83	C₆₁×#536	C₂²	1	4	yes	—
84	C₆₁×#536	C₂²	1	4	yes	complemented
85	C₆₁×#536	C₂²	1	8	yes	complemented
86	C₆₁×#535	C₂²	1	2	yes	—
87	C₆₁×#533	C₂²	1	8	yes	—
88	C₆₁×#533	C₂²	1	2	yes	—
89	C₆₁×#533	C₂²	1	4	yes	—
90	C₆₁×#533	C₂²	1	4	yes	complemented
91	C₆₁×#533	C₂²	1	4	yes	complemented
92	C₆₁×#533	C₂²	1	8	yes	complemented
93	C₆₁×#533	C₂²	1	8	yes	complemented
94	C₆₁×#533	C₂²	1	4	yes	complemented
95	C₆₁×#532	C₂²	1	4	yes	—
96	C₂×C₄⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
97	C₆₁×#529	C₂²	1	4	yes	—
98	C₆₁×#529	C₂²	1	8	yes	—
99	C₆₁×#529	C₂²	1	8	yes	—
100	C₆₁×#529	C₂²	1	8	yes	—
101	C₆₁×#529	C₂²	1	8	yes	complemented
102	C₂×#126×C₆₁	C₂²	1	4	yes	—
103	C₂×#124×C₆₁	C₂²	1	2	yes	—
104	C₆₁×#525	C₂²	1	4	yes	—
105	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	—
106	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	—
107	C₆₁×#520	C₂²	1	4	yes	complemented
108	C₆₁×#519	C₂²	1	4	yes	—
109	C₆₁×#519	C₂²	1	4	yes	complemented
110	C₆₁×#518	C₂²	1	2	yes	—
111	C₄×#41×C₆₁	C₂²	1	2	yes	—
112	C₄×#41×C₆₁	C₂²	1	4	yes	—
113	C₂×C₄×Q₈×C₆₁	C₂²	1	2	yes	—
114	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
115	C₂×C₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
116	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
117	C₂×#117×C₆₁	C₂²	1	2	yes	—
118	C₂×#41×C₆₁	C₂³	1	2	yes	—
119	C₂×#41×C₆₁	C₂³	1	4	yes	—
120	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
121	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
122	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
123	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
125	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
126	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
127	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
128	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
129	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
130	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
131	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
132	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
133	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
134	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
135	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
136	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
137	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
138	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
139	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
140	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
141	C₄⋊Q₈×C₆₁	C₂³	1	16	yes	—
142	C₄⋊Q₈×C₆₁	C₂³	1	16	yes	—
143	#127×C₆₁	C₂³	1	4	yes	—
144	#126×C₆₁	C₂³	1	8	yes	—
145	#126×C₆₁	C₂³	1	16	yes	—
146	#126×C₆₁	C₂³	1	16	yes	—
147	#126×C₆₁	C₂³	1	16	yes	—
148	#126×C₆₁	C₂³	1	16	yes	—
149	#126×C₆₁	C₂³	1	16	yes	—
150	#126×C₆₁	C₂³	1	16	yes	—
151	#126×C₆₁	C₂³	1	16	yes	—
152	#126×C₆₁	C₂³	1	16	yes	—
153	#126×C₆₁	C₂³	1	16	yes	—
154	#126×C₆₁	C₂³	1	16	yes	—
155	#125×C₆₁	C₂³	1	16	yes	—
156	#125×C₆₁	C₂³	1	4	yes	—
157	#125×C₆₁	C₂³	1	4	yes	—
158	#125×C₆₁	C₂³	1	4	yes	—
159	#125×C₆₁	C₂³	1	16	yes	—
160	#125×C₆₁	C₂³	1	8	yes	—
161	#125×C₆₁	C₂³	1	8	yes	—
162	#125×C₆₁	C₂³	1	8	yes	—
163	#125×C₆₁	C₂³	1	8	yes	—
164	#125×C₆₁	C₂³	1	8	yes	—
165	#125×C₆₁	C₂³	1	16	yes	—
166	#125×C₆₁	C₂³	1	16	yes	—
167	#125×C₆₁	C₂³	1	4	yes	—
168	#125×C₆₁	C₂³	1	8	yes	—
169	#125×C₆₁	C₂³	1	16	yes	—
170	#125×C₆₁	C₂³	1	16	yes	—
171	#125×C₆₁	C₂³	1	8	yes	—
172	#124×C₆₁	C₂³	1	8	yes	—
173	#124×C₆₁	C₂³	1	4	yes	—
174	#124×C₆₁	C₂³	1	8	yes	—
175	#124×C₆₁	C₂³	1	16	yes	—
176	#124×C₆₁	C₂³	1	8	yes	—
177	#124×C₆₁	C₂³	1	8	yes	—
178	#124×C₆₁	C₂³	1	16	yes	—
179	#124×C₆₁	C₂³	1	8	yes	—
180	#123×C₆₁	C₂³	1	16	yes	—
181	#123×C₆₁	C₂³	1	16	yes	—
182	#123×C₆₁	C₂³	1	16	yes	—
183	#123×C₆₁	C₂³	1	16	yes	—
184	#123×C₆₁	C₂³	1	8	yes	—
185	#123×C₆₁	C₂³	1	16	yes	—
186	#123×C₆₁	C₂³	1	16	yes	—
187	#123×C₆₁	C₂³	1	8	yes	—
188	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
189	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
190	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
191	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
192	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
193	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
194	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
195	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
196	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
197	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
198	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
199	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
200	C₂²⋊Q₈×C₆₁	C₂³	1	16	yes	—
201	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
202	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
203	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
204	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
205	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
206	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
207	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
208	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
209	C₂²⋊Q₈×C₆₁	C₂³	1	16	yes	—
210	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
211	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
212	C₂²⋊Q₈×C₆₁	C₂³	1	16	yes	—
213	C₂²⋊Q₈×C₆₁	C₂³	1	16	yes	—
214	C₂²⋊Q₈×C₆₁	C₂³	1	16	yes	—
215	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
216	#121×C₆₁	C₂³	1	4	yes	—
217	#121×C₆₁	C₂³	1	4	yes	—
218	#121×C₆₁	C₂³	1	8	yes	—
219	#121×C₆₁	C₂³	1	4	yes	—
220	#121×C₆₁	C₂³	1	4	yes	—
221	#121×C₆₁	C₂³	1	4	yes	—
222	#120×C₆₁	C₂³	1	8	yes	—
223	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
224	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
225	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
226	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
227	C₄×Q₈×C₆₁	C₂³	1	16	yes	—
228	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
229	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
230	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
231	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
232	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
233	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
234	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
235	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
236	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
237	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
238	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
239	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
240	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
241	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
242	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
243	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
244	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
245	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
246	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
247	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
248	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
249	C₄×D₄×C₆₁	C₂³	1	2	yes	—
250	C₄×D₄×C₆₁	C₂³	1	4	yes	—
251	C₄×D₄×C₆₁	C₂³	1	8	yes	—
252	C₄×D₄×C₆₁	C₂³	1	4	yes	—
253	C₄×D₄×C₆₁	C₂³	1	8	yes	—
254	C₄×D₄×C₆₁	C₂³	1	8	yes	—
255	C₄×D₄×C₆₁	C₂³	1	16	yes	—
256	C₄×D₄×C₆₁	C₂³	1	16	yes	—
257	C₄×D₄×C₆₁	C₂³	1	2	yes	—
258	C₄×D₄×C₆₁	C₂³	1	4	yes	—
259	C₄×D₄×C₆₁	C₂³	1	8	yes	—
260	C₄×D₄×C₆₁	C₂³	1	8	yes	—
261	C₄×D₄×C₆₁	C₂³	1	4	yes	—
262	C₄×D₄×C₆₁	C₂³	1	4	yes	—
263	C₄×D₄×C₆₁	C₂³	1	8	yes	—
264	C₄×D₄×C₆₁	C₂³	1	4	yes	—
265	#117×C₆₁	C₂³	1	2	yes	—
266	#117×C₆₁	C₂³	1	4	yes	—
267	#117×C₆₁	C₂³	1	16	yes	—
268	#117×C₆₁	C₂³	1	4	yes	—
269	#117×C₆₁	C₂³	1	8	yes	—
270	#117×C₆₁	C₂³	1	8	yes	—
271	#117×C₆₁	C₂³	1	8	yes	—
272	#117×C₆₁	C₂³	1	16	yes	—
273	#117×C₆₁	C₂³	1	4	yes	—
274	#117×C₆₁	C₂³	1	4	yes	—
275	#117×C₆₁	C₂³	1	8	yes	—
276	#117×C₆₁	C₂³	1	16	yes	—
277	#117×C₆₁	C₂³	1	16	yes	—
278	#117×C₆₁	C₂³	1	4	yes	—
279	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
280	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
281	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
283	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
284	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
285	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
286	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
287	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
289	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
290	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
291	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
292	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
293	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
295	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
296	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
297	C₂×C₄²×C₆₁	C₂³	1	8	yes	—
298	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
299	#41×C₆₁	—	2	8	no	—
300	#41×C₆₁	—	4	8	no	—
301	C₂×Q₈×C₆₁	—	2	8	no	—
302	C₂×Q₈×C₆₁	—	4	2	no	—
303	C₂×Q₈×C₆₁	—	4	8	no	—
304	C₂×Q₈×C₆₁	—	4	8	no	—
305	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
306	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
307	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
308	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
309	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
310	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
311	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
312	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
313	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
314	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
315	C₂×D₄×C₆₁	—	2	4	no	—
316	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
317	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
318	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
319	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
320	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
321	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
322	C₂²×C₄×C₆₁	—	4	4	no	—
323	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
324	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
325	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
327	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
328	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
333	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
334	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
335	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
336	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
337	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
338	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
339	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
340	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
341	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
342	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
343	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
344	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
345	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
346	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
347	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
348	C₄⋊C₄×C₆₁	C₂⁴	1	16	yes	—
349	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
350	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
351	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
352	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
353	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
354	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
355	C₄⋊C₄×C₆₁	C₂⁴	1	16	yes	—
356	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
357	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
358	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
359	C₄⋊C₄×C₆₁	C₂⁴	1	16	yes	—
360	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
361	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
362	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
363	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
364	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
365	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
366	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
367	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
368	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
369	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
370	C₄⋊C₄×C₆₁	C₂⁴	1	16	yes	—
371	C₄⋊C₄×C₆₁	C₂⁴	1	16	yes	—
372	C₄⋊C₄×C₆₁	C₂⁴	1	16	yes	—
373	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
374	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
375	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
376	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
377	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
378	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
379	C₂²⋊C₄×C₆₁	C₂⁴	1	16	yes	—
380	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
381	C₂²⋊C₄×C₆₁	C₂⁴	1	16	yes	—
382	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
383	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
384	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
385	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
386	C₂²⋊C₄×C₆₁	C₂⁴	1	16	yes	—
387	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
388	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
389	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
390	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
391	C₂²⋊C₄×C₆₁	C₂⁴	1	16	yes	—
392	C₄²×C₆₁	C₂⁴	1	2	yes	—
393	C₄²×C₆₁	C₂⁴	1	4	yes	—
394	C₄²×C₆₁	C₂⁴	1	8	yes	—
395	C₄²×C₆₁	C₂⁴	1	8	yes	—
396	C₄²×C₆₁	C₂⁴	1	4	yes	—
397	C₄²×C₆₁	C₂⁴	1	2	yes	—
398	C₄²×C₆₁	C₂⁴	1	8	yes	—
399	C₄²×C₆₁	C₂⁴	1	4	yes	—
400	C₄²×C₆₁	C₂⁴	1	8	yes	—
401	C₄²×C₆₁	C₂⁴	1	4	yes	—
402	C₄²×C₆₁	C₂⁴	1	8	yes	—
403	C₄²×C₆₁	C₂⁴	1	4	yes	—
404	C₄²×C₆₁	C₂⁴	1	16	yes	—
405	C₄²×C₆₁	C₂⁴	1	16	yes	—
406	C₂³×C₆₁	—	2	4	no	—
407	C₂³×C₆₁	—	4	2	no	—
408	C₂³×C₆₁	—	4	2	no	—
409	C₂³×C₆₁	C₂⁵	1	4	yes	—
410	C₂³×C₆₁	C₂⁵	1	4	yes	—
411	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
412	Q₈×C₆₁	—	2	16	no	—
413	Q₈×C₆₁	—	2	4	no	—
414	Q₈×C₆₁	—	2	4	no	—
415	Q₈×C₆₁	—	2	8	no	—
416	Q₈×C₆₁	—	4	2	no	—
417	Q₈×C₆₁	—	4	8	no	—
418	Q₈×C₆₁	—	4	8	no	—
419	Q₈×C₆₁	—	4	4	no	—
420	Q₈×C₆₁	—	4	8	no	—
421	Q₈×C₆₁	—	4	4	no	—
422	D₄×C₆₁	—	2	8	no	—
423	D₄×C₆₁	—	2	8	no	—
424	D₄×C₆₁	—	2	4	no	—
425	D₄×C₆₁	—	4	8	no	—
426	D₄×C₆₁	—	4	4	no	—
427	D₄×C₆₁	—	4	8	no	—
428	C₂×C₄×C₆₁	—	2	8	no	—
429	C₂×C₄×C₆₁	—	2	8	no	—
430	C₂×C₄×C₆₁	—	2	2	no	—
431	C₂×C₄×C₆₁	—	2	8	no	—
432	C₂×C₄×C₆₁	—	2	8	no	—
433	C₂×C₄×C₆₁	—	4	4	no	—
434	C₂×C₄×C₆₁	—	4	2	no	—
435	C₂×C₄×C₆₁	—	4	8	no	—
436	C₂×C₄×C₆₁	—	4	2	no	—
437	C₂×C₄×C₆₁	—	4	1	no	—
438	C₂×C₄×C₆₁	—	4	8	no	—
439	C₂×C₄×C₆₁	—	4	4	no	—
440	C₂×C₄×C₆₁	—	4	2	no	—
441	C₂×C₄×C₆₁	—	4	8	no	—
442	C₂×C₄×C₆₁	—	4	8	no	—
443	C₂×C₄×C₆₁	2₋¹⁺⁴	1	4	yes	—
444	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
445	C₂×C₄×C₆₁	C₂⁵	1	8	yes	—
446	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
447	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
448	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
449	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
450	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
451	C₂×C₄×C₆₁	C₂⁵	1	8	yes	—
452	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
453	C₂×C₄×C₆₁	C₂⁵	1	8	yes	—
454	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
455	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
456	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
457	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
458	#62932	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
459	C₂²×C₆₁	—	2	1	no	—
460	C₂²×C₆₁	—	2	1	no	—
461	C₂²×C₆₁	—	2	4	no	—
462	C₂²×C₆₁	—	2	4	no	—
463	C₂²×C₆₁	—	2	4	no	—
464	C₂²×C₆₁	—	2	4	no	—
465	C₂²×C₆₁	—	2	4	no	—
466	C₂²×C₆₁	—	2	4	no	—
467	C₂²×C₆₁	—	8	4	no	—
468	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	2	yes	—
469	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
470	C₄×C₆₁	—	2	4	no	—
471	C₄×C₆₁	—	2	8	no	—
472	C₄×C₆₁	—	2	1	no	—
473	C₄×C₆₁	—	2	4	no	—
474	C₄×C₆₁	—	2	4	no	—
475	C₄×C₆₁	—	2	4	no	—
476	C₄×C₆₁	—	2	8	no	—
477	C₄×C₆₁	—	2	2	no	—
478	C₄×C₆₁	—	2	8	no	—
479	C₄×C₆₁	—	2	2	no	—
480	C₄×C₆₁	—	2	4	no	—
481	C₄×C₆₁	—	2	2	no	—
482	C₄×C₆₁	C₂×2₋¹⁺⁴	1	4	yes	—
483	C₄×C₆₁	#585	1	2	yes	—
484	#3564	C₂×C₆₁	1	8	yes	complemented
485	#3557	C₂×C₆₁	1	8	yes	complemented
486	#3555	C₂×C₆₁	1	4	yes	complemented
487	#3555	C₂×C₆₁	1	8	yes	complemented
488	#3550	C₂×C₆₁	1	4	yes	complemented
489	#3538	C₂×C₆₁	1	4	yes	complemented
490	#3523	C₂×C₆₁	1	4	yes	complemented
491	#3510	C₂×C₆₁	1	4	yes	complemented
492	#3509	C₂×C₆₁	1	2	yes	complemented
493	#3507	C₂×C₆₁	1	4	yes	complemented
494	#3502	C₂×C₆₁	1	2	yes	complemented
495	#3501	C₂×C₆₁	1	1	yes	characteristic, complemented
496	#3495	C₂×C₆₁	1	4	yes	complemented
497	Q₈×#41	C₂×C₆₁	1	2	yes	complemented
498	C₂×#556	C₂×C₆₁	1	1	yes	characteristic, complemented
499	#3461	C₂×C₆₁	1	2	yes	complemented
500	#3460	C₂×C₆₁	1	1	yes	characteristic
501	C₂×C₆₁	—	2	2	no	—
502	C₂×C₆₁	—	4	4	no	—
503	C₂×C₆₁	—	4	4	no	—
504	C₂×C₆₁	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
505	C₂×C₆₁	C₂×#585	1	1	yes	characteristic
506	C₂×C₆₁	2₋¹⁺⁶	1	1	yes	characteristic
507	#563	C₂²×C₆₁	1	16	yes	complemented
508	#563	C₂²×C₆₁	1	16	yes	complemented
509	#563	C₂²×C₆₁	1	16	yes	complemented
510	#559	C₂²×C₆₁	1	8	yes	—
511	#559	C₂²×C₆₁	1	8	yes	—
512	Q₈²	C₂²×C₆₁	1	2	yes	complemented
513	Q₈²	C₂²×C₆₁	1	8	yes	complemented
514	#557	C₂²×C₆₁	1	2	yes	complemented
515	#557	C₂²×C₆₁	1	4	yes	complemented
516	#557	C₂²×C₆₁	1	8	yes	complemented
517	#557	C₂²×C₆₁	1	8	yes	complemented
518	#557	C₂²×C₆₁	1	8	yes	complemented
519	#557	C₂²×C₆₁	1	4	yes	complemented
520	#557	C₂²×C₆₁	1	4	yes	complemented
521	#556	C₂²×C₆₁	1	4	yes	—
522	#556	C₂²×C₆₁	1	4	yes	—
523	#556	C₂²×C₆₁	1	8	yes	—
524	#556	C₂²×C₆₁	1	8	yes	—
525	#556	C₂²×C₆₁	1	8	yes	—
526	#556	C₂²×C₆₁	1	8	yes	complemented
527	#556	C₂²×C₆₁	1	4	yes	complemented
528	#556	C₂²×C₆₁	1	16	yes	complemented
529	#556	C₂²×C₆₁	1	4	yes	complemented
530	#554	C₂²×C₆₁	1	4	yes	—
531	#554	C₂²×C₆₁	1	8	yes	—
532	#554	C₂²×C₆₁	1	4	yes	—
533	#554	C₂²×C₆₁	1	8	yes	—
534	#554	C₂²×C₆₁	1	2	yes	complemented
535	#554	C₂²×C₆₁	1	4	yes	complemented
536	#552	C₂²×C₆₁	1	8	yes	—
537	#552	C₂²×C₆₁	1	8	yes	—
538	#552	C₂²×C₆₁	1	8	yes	complemented
539	#552	C₂²×C₆₁	1	16	yes	complemented
540	#552	C₂²×C₆₁	1	8	yes	complemented
541	#552	C₂²×C₆₁	1	16	yes	complemented
542	#551	C₂²×C₆₁	1	16	yes	—
543	#551	C₂²×C₆₁	1	16	yes	—
544	D₄×Q₈	C₂²×C₆₁	1	4	yes	—
545	D₄×Q₈	C₂²×C₆₁	1	4	yes	—
546	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
547	D₄×Q₈	C₂²×C₆₁	1	8	yes	complemented
548	#544	C₂²×C₆₁	1	1	yes	characteristic
549	#544	C₂²×C₆₁	1	2	yes	—
550	#544	C₂²×C₆₁	1	8	yes	—
551	#544	C₂²×C₆₁	1	4	yes	complemented
552	#544	C₂²×C₆₁	1	8	yes	complemented
553	#543	C₂²×C₆₁	1	4	yes	—
554	#542	C₂²×C₆₁	1	4	yes	—
555	#542	C₂²×C₆₁	1	8	yes	—
556	#542	C₂²×C₆₁	1	8	yes	—
557	#542	C₂²×C₆₁	1	8	yes	complemented
558	#542	C₂²×C₆₁	1	8	yes	complemented
559	#542	C₂²×C₆₁	1	16	yes	complemented
560	#541	C₂²×C₆₁	1	8	yes	complemented
561	#541	C₂²×C₆₁	1	8	yes	complemented
562	#541	C₂²×C₆₁	1	8	yes	complemented
563	#541	C₂²×C₆₁	1	8	yes	complemented
564	#541	C₂²×C₆₁	1	16	yes	complemented
565	#541	C₂²×C₆₁	1	16	yes	complemented
566	#540	C₂²×C₆₁	1	4	yes	—
567	#539	C₂²×C₆₁	1	8	yes	—
568	#539	C₂²×C₆₁	1	16	yes	complemented
569	#539	C₂²×C₆₁	1	8	yes	complemented
570	#538	C₂²×C₆₁	1	4	yes	—
571	#537	C₂²×C₆₁	1	1	yes	characteristic
572	#536	C₂²×C₆₁	1	4	yes	—
573	#536	C₂²×C₆₁	1	4	yes	complemented
574	#536	C₂²×C₆₁	1	8	yes	complemented
575	#535	C₂²×C₆₁	1	2	yes	—
576	#533	C₂²×C₆₁	1	2	yes	—
577	#533	C₂²×C₆₁	1	4	yes	—
578	#533	C₂²×C₆₁	1	8	yes	—
579	#533	C₂²×C₆₁	1	8	yes	complemented
580	#533	C₂²×C₆₁	1	4	yes	complemented
581	#533	C₂²×C₆₁	1	8	yes	complemented
582	#533	C₂²×C₆₁	1	4	yes	complemented
583	#533	C₂²×C₆₁	1	4	yes	complemented
584	#532	C₂²×C₆₁	1	4	yes	—
585	C₂×C₄⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
586	#529	C₂²×C₆₁	1	4	yes	—
587	#529	C₂²×C₆₁	1	8	yes	—
588	#529	C₂²×C₆₁	1	8	yes	—
589	#529	C₂²×C₆₁	1	8	yes	—
590	#529	C₂²×C₆₁	1	8	yes	complemented
591	C₂×#126	C₂²×C₆₁	1	4	yes	—
592	C₂×#124	C₂²×C₆₁	1	2	yes	—
593	#525	C₂²×C₆₁	1	4	yes	—
594	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	—
595	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	—
596	#520	C₂²×C₆₁	1	4	yes	complemented
597	#519	C₂²×C₆₁	1	4	yes	—
598	#519	C₂²×C₆₁	1	4	yes	complemented
599	#518	C₂²×C₆₁	1	2	yes	—
600	C₄×#41	C₂²×C₆₁	1	2	yes	—
601	C₄×#41	C₂²×C₆₁	1	4	yes	—
602	C₂×C₄×Q₈	C₂²×C₆₁	1	2	yes	—
603	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
604	C₂×C₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
605	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
606	C₂×#117	C₂²×C₆₁	1	2	yes	—
607	C₆₁	#62932	1	1	yes	characteristic, direct product factor, Sylow
608	C₂×#41	C₂³×C₆₁	1	2	yes	—
609	C₂×#41	C₂³×C₆₁	1	4	yes	—
610	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
611	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
612	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
613	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
614	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
615	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
616	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
617	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
618	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
619	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
620	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
621	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
622	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
623	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
624	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
625	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
626	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
627	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
628	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
629	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
630	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
631	C₄⋊Q₈	C₂³×C₆₁	1	16	yes	—
632	C₄⋊Q₈	C₂³×C₆₁	1	16	yes	—
633	#127	C₂³×C₆₁	1	4	yes	—
634	#126	C₂³×C₆₁	1	16	yes	—
635	#126	C₂³×C₆₁	1	16	yes	—
636	#126	C₂³×C₆₁	1	8	yes	—
637	#126	C₂³×C₆₁	1	16	yes	—
638	#126	C₂³×C₆₁	1	16	yes	—
639	#126	C₂³×C₆₁	1	16	yes	—
640	#126	C₂³×C₆₁	1	16	yes	—
641	#126	C₂³×C₆₁	1	16	yes	—
642	#126	C₂³×C₆₁	1	16	yes	—
643	#126	C₂³×C₆₁	1	16	yes	—
644	#126	C₂³×C₆₁	1	16	yes	—
645	#125	C₂³×C₆₁	1	4	yes	—
646	#125	C₂³×C₆₁	1	4	yes	—
647	#125	C₂³×C₆₁	1	4	yes	—
648	#125	C₂³×C₆₁	1	8	yes	—
649	#125	C₂³×C₆₁	1	8	yes	—
650	#125	C₂³×C₆₁	1	16	yes	—
651	#125	C₂³×C₆₁	1	4	yes	—
652	#125	C₂³×C₆₁	1	16	yes	—
653	#125	C₂³×C₆₁	1	8	yes	—
654	#125	C₂³×C₆₁	1	8	yes	—
655	#125	C₂³×C₆₁	1	8	yes	—
656	#125	C₂³×C₆₁	1	8	yes	—
657	#125	C₂³×C₆₁	1	8	yes	—
658	#125	C₂³×C₆₁	1	16	yes	—
659	#125	C₂³×C₆₁	1	16	yes	—
660	#125	C₂³×C₆₁	1	16	yes	—
661	#125	C₂³×C₆₁	1	16	yes	—
662	#124	C₂³×C₆₁	1	8	yes	—
663	#124	C₂³×C₆₁	1	8	yes	—
664	#124	C₂³×C₆₁	1	4	yes	—
665	#124	C₂³×C₆₁	1	8	yes	—
666	#124	C₂³×C₆₁	1	8	yes	—
667	#124	C₂³×C₆₁	1	8	yes	—
668	#124	C₂³×C₆₁	1	16	yes	—
669	#124	C₂³×C₆₁	1	16	yes	—
670	#123	C₂³×C₆₁	1	8	yes	—
671	#123	C₂³×C₆₁	1	16	yes	—
672	#123	C₂³×C₆₁	1	16	yes	—
673	#123	C₂³×C₆₁	1	8	yes	—
674	#123	C₂³×C₆₁	1	16	yes	—
675	#123	C₂³×C₆₁	1	16	yes	—
676	#123	C₂³×C₆₁	1	16	yes	—
677	#123	C₂³×C₆₁	1	16	yes	—
678	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
679	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
680	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
681	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
682	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
683	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
684	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
685	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
686	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
687	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
688	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
689	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
690	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
691	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
692	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
693	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
694	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
695	C₂²⋊Q₈	C₂³×C₆₁	1	16	yes	—
696	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
697	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
698	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
699	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
700	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
701	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
702	C₂²⋊Q₈	C₂³×C₆₁	1	16	yes	—
703	C₂²⋊Q₈	C₂³×C₆₁	1	16	yes	—
704	C₂²⋊Q₈	C₂³×C₆₁	1	16	yes	—
705	C₂²⋊Q₈	C₂³×C₆₁	1	16	yes	—
706	#121	C₂³×C₆₁	1	4	yes	—
707	#121	C₂³×C₆₁	1	4	yes	—
708	#121	C₂³×C₆₁	1	4	yes	—
709	#121	C₂³×C₆₁	1	4	yes	—
710	#121	C₂³×C₆₁	1	4	yes	—
711	#121	C₂³×C₆₁	1	8	yes	—
712	#120	C₂³×C₆₁	1	8	yes	—
713	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
714	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
715	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
716	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
717	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
718	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
719	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
720	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
721	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
722	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
723	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
724	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
725	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
726	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
727	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
728	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
729	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
730	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
731	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
732	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
733	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
734	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
735	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
736	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
737	C₄×Q₈	C₂³×C₆₁	1	16	yes	—
738	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
739	C₄×D₄	C₂³×C₆₁	1	4	yes	—
740	C₄×D₄	C₂³×C₆₁	1	4	yes	—
741	C₄×D₄	C₂³×C₆₁	1	4	yes	—
742	C₄×D₄	C₂³×C₆₁	1	8	yes	—
743	C₄×D₄	C₂³×C₆₁	1	4	yes	—
744	C₄×D₄	C₂³×C₆₁	1	2	yes	—
745	C₄×D₄	C₂³×C₆₁	1	4	yes	—
746	C₄×D₄	C₂³×C₆₁	1	8	yes	—
747	C₄×D₄	C₂³×C₆₁	1	2	yes	—
748	C₄×D₄	C₂³×C₆₁	1	4	yes	—
749	C₄×D₄	C₂³×C₆₁	1	8	yes	—
750	C₄×D₄	C₂³×C₆₁	1	8	yes	—
751	C₄×D₄	C₂³×C₆₁	1	8	yes	—
752	C₄×D₄	C₂³×C₆₁	1	16	yes	—
753	C₄×D₄	C₂³×C₆₁	1	8	yes	—
754	C₄×D₄	C₂³×C₆₁	1	16	yes	—
755	#117	C₂³×C₆₁	1	4	yes	—
756	#117	C₂³×C₆₁	1	4	yes	—
757	#117	C₂³×C₆₁	1	8	yes	—
758	#117	C₂³×C₆₁	1	4	yes	—
759	#117	C₂³×C₆₁	1	2	yes	—
760	#117	C₂³×C₆₁	1	4	yes	—
761	#117	C₂³×C₆₁	1	8	yes	—
762	#117	C₂³×C₆₁	1	16	yes	—
763	#117	C₂³×C₆₁	1	4	yes	—
764	#117	C₂³×C₆₁	1	16	yes	—
765	#117	C₂³×C₆₁	1	8	yes	—
766	#117	C₂³×C₆₁	1	16	yes	—
767	#117	C₂³×C₆₁	1	16	yes	—
768	#117	C₂³×C₆₁	1	8	yes	—
769	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
770	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
771	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
773	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
774	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
775	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
776	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
777	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
778	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
782	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
783	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
784	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
785	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
786	C₂×C₄²	C₂³×C₆₁	1	8	yes	—
787	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
788	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
789	#41	—	2	8	no	—
790	#41	—	4	8	no	—
791	C₂×Q₈	—	2	8	no	—
792	C₂×Q₈	—	4	2	no	—
793	C₂×Q₈	—	4	8	no	—
794	C₂×Q₈	—	4	8	no	—
795	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
796	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
797	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
798	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
799	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
800	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
801	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
802	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
803	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
804	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
805	C₂×D₄	—	2	4	no	—
806	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
807	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
808	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
809	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
810	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
811	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
812	C₂²×C₄	—	4	4	no	—
813	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
814	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
815	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
816	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
817	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
818	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
819	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
820	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
821	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
822	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
823	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
824	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
825	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
826	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
827	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
828	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
829	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
830	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
831	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
832	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
833	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
834	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
835	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
836	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
837	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
838	C₄⋊C₄	C₂⁴×C₆₁	1	16	yes	—
839	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
840	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
841	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
842	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
843	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
844	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
845	C₄⋊C₄	C₂⁴×C₆₁	1	16	yes	—
846	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
847	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
848	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
849	C₄⋊C₄	C₂⁴×C₆₁	1	16	yes	—
850	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
851	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
852	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
853	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
854	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
855	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
856	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
857	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
858	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
859	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
860	C₄⋊C₄	C₂⁴×C₆₁	1	16	yes	—
861	C₄⋊C₄	C₂⁴×C₆₁	1	16	yes	—
862	C₄⋊C₄	C₂⁴×C₆₁	1	16	yes	—
863	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
864	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
865	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
866	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
867	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
868	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
869	C₂²⋊C₄	C₂⁴×C₆₁	1	16	yes	—
870	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
871	C₂²⋊C₄	C₂⁴×C₆₁	1	16	yes	—
872	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
873	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
874	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
875	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
876	C₂²⋊C₄	C₂⁴×C₆₁	1	16	yes	—
877	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
878	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
879	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
880	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
881	C₂²⋊C₄	C₂⁴×C₆₁	1	16	yes	—
882	C₄²	C₂⁴×C₆₁	1	2	yes	—
883	C₄²	C₂⁴×C₆₁	1	4	yes	—
884	C₄²	C₂⁴×C₆₁	1	8	yes	—
885	C₄²	C₂⁴×C₆₁	1	8	yes	—
886	C₄²	C₂⁴×C₆₁	1	4	yes	—
887	C₄²	C₂⁴×C₆₁	1	2	yes	—
888	C₄²	C₂⁴×C₆₁	1	8	yes	—
889	C₄²	C₂⁴×C₆₁	1	4	yes	—
890	C₄²	C₂⁴×C₆₁	1	8	yes	—
891	C₄²	C₂⁴×C₆₁	1	4	yes	—
892	C₄²	C₂⁴×C₆₁	1	8	yes	—
893	C₄²	C₂⁴×C₆₁	1	4	yes	—
894	C₄²	C₂⁴×C₆₁	1	16	yes	—
895	C₄²	C₂⁴×C₆₁	1	16	yes	—
896	C₂³	—	2	4	no	—
897	C₂³	—	4	2	no	—
898	C₂³	—	4	2	no	—
899	C₂³	C₂⁵×C₆₁	1	4	yes	—
900	C₂³	C₂⁵×C₆₁	1	4	yes	—
901	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
902	Q₈	—	2	16	no	—
903	Q₈	—	2	4	no	—
904	Q₈	—	2	4	no	—
905	Q₈	—	2	8	no	—
906	Q₈	—	4	2	no	—
907	Q₈	—	4	8	no	—
908	Q₈	—	4	8	no	—
909	Q₈	—	4	4	no	—
910	Q₈	—	4	8	no	—
911	Q₈	—	4	4	no	—
912	D₄	—	2	8	no	—
913	D₄	—	2	8	no	—
914	D₄	—	2	4	no	—
915	D₄	—	4	8	no	—
916	D₄	—	4	4	no	—
917	D₄	—	4	8	no	—
918	C₂×C₄	—	2	8	no	—
919	C₂×C₄	—	2	8	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	8	no	—
922	C₂×C₄	—	2	8	no	—
923	C₂×C₄	—	4	4	no	—
924	C₂×C₄	—	4	2	no	—
925	C₂×C₄	—	4	8	no	—
926	C₂×C₄	—	4	2	no	—
927	C₂×C₄	—	4	1	no	—
928	C₂×C₄	—	4	8	no	—
929	C₂×C₄	—	4	4	no	—
930	C₂×C₄	—	4	2	no	—
931	C₂×C₄	—	4	8	no	—
932	C₂×C₄	—	4	8	no	—
933	C₂×C₄	2₋¹⁺⁴×C₆₁	1	4	yes	—
934	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
935	C₂×C₄	C₂⁵×C₆₁	1	8	yes	—
936	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
937	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
938	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
939	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
940	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
941	C₂×C₄	C₂⁵×C₆₁	1	8	yes	—
942	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
943	C₂×C₄	C₂⁵×C₆₁	1	8	yes	—
944	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
945	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
946	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
947	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
948	C₂²	—	2	1	no	—
949	C₂²	—	2	1	no	—
950	C₂²	—	2	4	no	—
951	C₂²	—	2	4	no	—
952	C₂²	—	2	4	no	—
953	C₂²	—	2	4	no	—
954	C₂²	—	2	4	no	—
955	C₂²	—	2	4	no	—
956	C₂²	—	8	4	no	—
957	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	2	yes	—
958	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
959	C₄	—	2	4	no	—
960	C₄	—	2	8	no	—
961	C₄	—	2	1	no	—
962	C₄	—	2	4	no	—
963	C₄	—	2	4	no	—
964	C₄	—	2	4	no	—
965	C₄	—	2	8	no	—
966	C₄	—	2	2	no	—
967	C₄	—	2	8	no	—
968	C₄	—	2	2	no	—
969	C₄	—	2	4	no	—
970	C₄	—	2	2	no	—
971	C₄	C₂×2₋¹⁺⁴×C₆₁	1	4	yes	—
972	C₄	C₆₁×#585	1	2	yes	—
973	C₂	—	2	2	no	—
974	C₂	—	4	4	no	—
975	C₂	—	4	4	no	—
976	C₂	C₂²×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
977	C₂	C₂×C₆₁×#585	1	1	yes	characteristic
978	C₂	C₆₁×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₆₁
prime radical	C₆₁×#3460	C₂
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×#3564	C₂	semidirect
2. C₆₁×#3557	C₂	semidirect
3. C₆₁×#3555	C₂	semidirect
4. C₆₁×#3555	C₂	semidirect
5. C₆₁×#3550	C₂	semidirect
6. C₆₁×#3538	C₂	semidirect
7. C₆₁×#3523	C₂	semidirect
8. C₆₁×#3510	C₂	semidirect
9. C₆₁×#3509	C₂	semidirect
10. C₆₁×#3507	C₂	semidirect
11. C₆₁×#3502	C₂	semidirect
12. C₆₁×#3501	C₂	semidirect
13. C₆₁×#3495	C₂	semidirect
14. Q₈×#41×C₆₁	C₂	semidirect
15. C₂×C₆₁×#556	C₂	semidirect
16. C₆₁×#3461	C₂	semidirect
18. C₆₁×#563	C₂²	semidirect
19. C₆₁×#563	C₂²	semidirect
20. C₆₁×#563	C₂²	semidirect
23. Q₈²×C₆₁	C₂²	semidirect
24. Q₈²×C₆₁	C₂²	semidirect
25. C₆₁×#557	C₂²	semidirect
26. C₆₁×#557	C₂²	semidirect
27. C₆₁×#557	C₂²	semidirect
28. C₆₁×#557	C₂²	semidirect
29. C₆₁×#557	C₂²	semidirect
30. C₆₁×#557	C₂²	semidirect
31. C₆₁×#557	C₂²	semidirect
37. C₆₁×#556	C₂²	semidirect
38. C₆₁×#556	C₂²	semidirect
39. C₆₁×#556	C₂²	semidirect
40. C₆₁×#556	C₂²	semidirect
45. C₆₁×#554	C₂²	semidirect
46. C₆₁×#554	C₂²	semidirect
49. C₆₁×#552	C₂²	semidirect
50. C₆₁×#552	C₂²	semidirect
51. C₆₁×#552	C₂²	semidirect
52. C₆₁×#552	C₂²	semidirect
57. D₄×Q₈×C₆₁	C₂²	semidirect
58. D₄×Q₈×C₆₁	C₂²	semidirect
62. C₆₁×#544	C₂²	semidirect
63. C₆₁×#544	C₂²	semidirect
68. C₆₁×#542	C₂²	semidirect
69. C₆₁×#542	C₂²	semidirect
70. C₆₁×#542	C₂²	semidirect
71. C₆₁×#541	C₂²	semidirect
72. C₆₁×#541	C₂²	semidirect
73. C₆₁×#541	C₂²	semidirect
74. C₆₁×#541	C₂²	semidirect
75. C₆₁×#541	C₂²	semidirect
76. C₆₁×#541	C₂²	semidirect
79. C₆₁×#539	C₂²	semidirect
80. C₆₁×#539	C₂²	semidirect
84. C₆₁×#536	C₂²	semidirect
85. C₆₁×#536	C₂²	semidirect
90. C₆₁×#533	C₂²	semidirect
91. C₆₁×#533	C₂²	semidirect
92. C₆₁×#533	C₂²	semidirect
93. C₆₁×#533	C₂²	semidirect
94. C₆₁×#533	C₂²	semidirect
101. C₆₁×#529	C₂²	semidirect
107. C₆₁×#520	C₂²	semidirect
109. C₆₁×#519	C₂²	semidirect
115. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
458. #62932	C₆₁	direct (N × H)
484. #3564	C₂×C₆₁	semidirect
485. #3557	C₂×C₆₁	semidirect
486. #3555	C₂×C₆₁	semidirect
487. #3555	C₂×C₆₁	semidirect
488. #3550	C₂×C₆₁	semidirect
489. #3538	C₂×C₆₁	semidirect
490. #3523	C₂×C₆₁	semidirect
491. #3510	C₂×C₆₁	semidirect
492. #3509	C₂×C₆₁	semidirect
493. #3507	C₂×C₆₁	semidirect
494. #3502	C₂×C₆₁	semidirect
495. #3501	C₂×C₆₁	semidirect
496. #3495	C₂×C₆₁	semidirect
497. Q₈×#41	C₂×C₆₁	semidirect
498. C₂×#556	C₂×C₆₁	semidirect
499. #3461	C₂×C₆₁	semidirect
507. #563	C₂²×C₆₁	semidirect
508. #563	C₂²×C₆₁	semidirect
509. #563	C₂²×C₆₁	semidirect
512. Q₈²	C₂²×C₆₁	semidirect
513. Q₈²	C₂²×C₆₁	semidirect
514. #557	C₂²×C₆₁	semidirect
515. #557	C₂²×C₆₁	semidirect
516. #557	C₂²×C₆₁	semidirect
517. #557	C₂²×C₆₁	semidirect
518. #557	C₂²×C₆₁	semidirect
519. #557	C₂²×C₆₁	semidirect
520. #557	C₂²×C₆₁	semidirect
526. #556	C₂²×C₆₁	semidirect
527. #556	C₂²×C₆₁	semidirect
528. #556	C₂²×C₆₁	semidirect
529. #556	C₂²×C₆₁	semidirect
534. #554	C₂²×C₆₁	semidirect
535. #554	C₂²×C₆₁	semidirect
538. #552	C₂²×C₆₁	semidirect
539. #552	C₂²×C₆₁	semidirect
540. #552	C₂²×C₆₁	semidirect
541. #552	C₂²×C₆₁	semidirect
546. D₄×Q₈	C₂²×C₆₁	semidirect
547. D₄×Q₈	C₂²×C₆₁	semidirect
551. #544	C₂²×C₆₁	semidirect
552. #544	C₂²×C₆₁	semidirect
557. #542	C₂²×C₆₁	semidirect
558. #542	C₂²×C₆₁	semidirect
559. #542	C₂²×C₆₁	semidirect
560. #541	C₂²×C₆₁	semidirect
561. #541	C₂²×C₆₁	semidirect
562. #541	C₂²×C₆₁	semidirect
563. #541	C₂²×C₆₁	semidirect
564. #541	C₂²×C₆₁	semidirect
565. #541	C₂²×C₆₁	semidirect
568. #539	C₂²×C₆₁	semidirect
569. #539	C₂²×C₆₁	semidirect
573. #536	C₂²×C₆₁	semidirect
574. #536	C₂²×C₆₁	semidirect
579. #533	C₂²×C₆₁	semidirect
580. #533	C₂²×C₆₁	semidirect
581. #533	C₂²×C₆₁	semidirect
582. #533	C₂²×C₆₁	semidirect
583. #533	C₂²×C₆₁	semidirect
590. #529	C₂²×C₆₁	semidirect
596. #520	C₂²×C₆₁	semidirect
598. #519	C₂²×C₆₁	semidirect
604. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
607. C₆₁	#62932	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×#3564	2
C₆₁×#3557	2
C₆₁×#3555	2
C₆₁×#3550	2
C₆₁×#3538	2
C₆₁×#3523	2
C₆₁×#3510	2
C₆₁×#3509	2
C₆₁×#3507	2
C₆₁×#3502	2
C₆₁×#3501	2
C₆₁×#3495	2
Q₈×#41×C₆₁	2
C₂×C₆₁×#556	2
C₆₁×#3461	2
C₆₁×#3460	2
#62932	61

Subgroups — C61×#62932 #29566365

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62932 #29566365