Subgroups — C₆₁×#61795 #29565228

Order 15616.

1802 conjugacy classes of subgroups.

The subgroup lattice has 1056 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3350	C₂	1	2	yes	maximal, complemented
4	C₆₁×#3347	C₂	1	2	yes	maximal, complemented
5	C₆₁×#3345	C₂	1	2	yes	maximal, complemented
6	C₆₁×#3345	C₂	1	2	yes	maximal, complemented
7	C₆₁×#3319	C₂	1	2	yes	maximal, complemented
8	C₆₁×#3318	C₂	1	2	yes	maximal, complemented
9	C₆₁×#3309	C₂	1	2	yes	maximal, complemented
10	C₆₁×#3306	C₂	1	2	yes	maximal, complemented
11	C₆₁×#3240	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3235	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3199	C₂	1	2	yes	maximal, complemented
14	C₆₁×#3198	C₂	1	2	yes	maximal, complemented
15	C₆₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3109	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3099	C₂	1	2	yes	maximal, complemented
18	C₆₁×#3096	C₂	1	2	yes	maximal, complemented
19	C₆₁×#2980	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#560	—	2	2	no	—
21	C₆₁×#559	—	2	2	no	—
22	C₆₁×#556	—	2	1	no	—
23	C₆₁×#556	C₂²	1	1	yes	characteristic, complemented
24	C₆₁×#555	C₂²	1	2	yes	complemented
25	C₆₁×#553	C₂²	1	2	yes	—
26	C₆₁×#553	C₂²	1	2	yes	complemented
27	C₆₁×#553	C₂²	1	2	yes	complemented
28	C₆₁×#550	—	2	1	no	—
29	C₆₁×#550	—	2	1	no	—
30	C₆₁×#550	C₂²	1	1	yes	characteristic, complemented
31	C₆₁×#547	C₂²	1	1	yes	characteristic, complemented
32	C₆₁×#547	C₂²	1	2	yes	complemented
33	C₆₁×#546	—	2	1	no	—
34	C₆₁×#546	C₂²	1	2	yes	complemented
35	D₄²×C₆₁	C₂²	1	1	yes	characteristic, complemented
36	C₆₁×#542	—	2	1	no	—
37	C₆₁×#538	—	2	2	no	—
38	C₆₁×#538	—	2	1	no	—
39	C₆₁×#538	—	2	1	no	—
40	C₆₁×#537	C₂²	1	2	yes	—
41	C₆₁×#535	—	2	1	no	—
42	C₆₁×#535	C₂²	1	2	yes	—
43	C₆₁×#535	C₂²	1	2	yes	complemented
44	C₆₁×#533	C₂²	1	1	yes	characteristic, complemented
45	C₆₁×#532	C₂²	1	1	yes	characteristic
46	C₆₁×#532	C₂²	1	1	yes	characteristic
47	C₆₁×#529	C₂²	1	1	yes	characteristic
48	C₆₁×#525	—	2	2	no	—
49	C₆₁×#520	C₂²	1	2	yes	complemented
50	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
51	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
52	C₆₁×#501	C₂²	1	2	yes	complemented
53	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
54	C₆₁×#490	C₂²	1	2	yes	complemented
55	C₆₁×#489	C₂²	1	1	yes	characteristic, complemented
56	C₆₁×#489	C₂²	1	1	yes	characteristic, complemented
57	C₆₁×#485	C₂²	1	2	yes	complemented
58	C₆₁×#485	C₂²	1	2	yes	complemented
59	C₆₁×#483	C₂²	1	2	yes	complemented
60	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
61	C₆₁×#482	C₂²	1	2	yes	—
62	C₆₁×#482	C₂²	1	2	yes	complemented
63	C₆₁×#482	C₂²	1	2	yes	complemented
64	C₆₁×#482	C₂²	1	2	yes	complemented
65	C₆₁×#482	C₂²	1	2	yes	complemented
66	C₆₁×#482	C₂²	1	2	yes	complemented
67	C₆₁×#482	C₂²	1	2	yes	complemented
68	C₆₁×#482	C₂²	1	2	yes	complemented
69	C₆₁×#481	C₂²	1	2	yes	complemented
70	C₆₁×#481	C₂²	1	2	yes	complemented
71	C₆₁×#481	C₂²	1	2	yes	complemented
72	C₆₁×#481	C₂²	1	2	yes	complemented
73	C₆₁×#480	C₂²	1	1	yes	characteristic
74	C₆₁×#480	C₂²	1	2	yes	complemented
75	C₆₁×#480	C₂²	1	2	yes	complemented
76	C₆₁×#479	C₂²	1	2	yes	complemented
77	C₆₁×#478	C₂²	1	2	yes	complemented
78	C₆₁×#478	C₂²	1	2	yes	complemented
79	C₆₁×#476	C₂²	1	2	yes	complemented
80	C₆₁×#476	C₂²	1	2	yes	complemented
81	C₆₁×#474	C₂²	1	2	yes	complemented
82	C₆₁×#469	C₂²	1	2	yes	—
83	C₆₁×#469	C₂²	1	2	yes	—
84	C₆₁×#469	C₂²	1	2	yes	complemented
85	C₆₁×#468	C₂²	1	2	yes	complemented
86	C₆₁×#466	C₂²	1	2	yes	—
87	C₆₁×#466	C₂²	1	2	yes	—
88	C₆₁×#466	C₂²	1	2	yes	complemented
89	C₆₁×#465	C₂²	1	2	yes	complemented
90	C₆₁×#463	C₂²	1	2	yes	—
91	C₆₁×#459	C₂²	1	2	yes	—
92	C₆₁×#450	C₂²	1	1	yes	characteristic, complemented
93	C₆₁×#449	C₂²	1	2	yes	complemented
94	C₆₁×#449	C₂²	1	2	yes	complemented
95	C₆₁×#447	C₂²	1	2	yes	—
96	C₆₁×#447	C₂²	1	2	yes	—
97	C₆₁×#447	C₂²	1	1	yes	characteristic
98	C₆₁×#447	C₂²	1	2	yes	complemented
99	C₆₁×#442	C₂²	1	2	yes	—
100	C₆₁×#442	C₂²	1	2	yes	complemented
101	C₆₁×#442	C₂²	1	2	yes	complemented
102	C₆₁×#440	C₂²	1	2	yes	complemented
103	C₆₁×#435	C₂²	1	2	yes	complemented
104	C₆₁×#435	C₂²	1	2	yes	complemented
105	C₆₁×#435	C₂²	1	2	yes	complemented
106	C₆₁×#435	C₂²	1	2	yes	complemented
107	C₆₁×#432	C₂²	1	1	yes	characteristic, complemented
108	C₆₁×#432	C₂²	1	1	yes	characteristic, complemented
109	C₆₁×#428	C₂²	1	2	yes	complemented
110	C₆₁×#428	C₂²	1	2	yes	complemented
111	C₆₁×#427	C₂²	1	2	yes	complemented
112	C₂×#106×C₆₁	C₂²	1	2	yes	complemented
113	C₆₁×#418	C₂²	1	2	yes	complemented
114	C₆₁×#417	C₂²	1	2	yes	complemented
115	C₆₁×#416	C₂²	1	2	yes	complemented
116	C₂×#102×C₆₁	C₂²	1	2	yes	complemented
117	C₆₁×#408	C₂²	1	2	yes	complemented
118	C₆₁×#408	C₂²	1	2	yes	complemented
119	C₂×#41×C₆₁	—	2	1	no	—
120	C₂×#41×C₆₁	—	2	2	no	—
121	C₂×#41×C₆₁	—	2	1	no	—
122	C₂×#41×C₆₁	C₂³	1	2	yes	—
123	C₂×#41×C₆₁	C₂³	1	2	yes	—
124	C₂²×D₄×C₆₁	—	2	1	no	—
125	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
126	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₆₁	—	2	1	no	—
128	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
129	C₂×D₈×C₆₁	C₂³	1	2	yes	—
130	C₂×D₈×C₆₁	C₂³	1	2	yes	—
131	C₂×D₈×C₆₁	C₂³	1	2	yes	—
132	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
133	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
134	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
135	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
136	C₄⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
137	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
138	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
139	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
140	#127×C₆₁	—	2	1	no	—
141	#127×C₆₁	—	2	2	no	—
142	#127×C₆₁	—	2	2	no	—
143	#127×C₆₁	D₄	1	1	yes	characteristic
144	#127×C₆₁	C₂³	1	1	yes	characteristic
145	#126×C₆₁	—	2	2	no	—
146	#126×C₆₁	—	2	2	no	—
147	#126×C₆₁	—	2	2	no	—
148	#126×C₆₁	—	2	2	no	—
149	#126×C₆₁	—	2	1	no	—
150	#125×C₆₁	C₂³	1	2	yes	—
151	#125×C₆₁	C₂³	1	1	yes	characteristic
152	#124×C₆₁	—	2	2	no	—
153	#124×C₆₁	—	2	2	no	—
154	#124×C₆₁	—	2	1	no	—
155	#124×C₆₁	—	2	2	no	—
156	#124×C₆₁	—	2	2	no	—
157	#124×C₆₁	—	2	1	no	—
158	#124×C₆₁	D₄	1	2	yes	—
159	#124×C₆₁	C₂³	1	1	yes	characteristic
160	#123×C₆₁	—	2	1	no	—
161	#123×C₆₁	—	2	2	no	—
162	#123×C₆₁	—	2	2	no	—
163	#123×C₆₁	—	2	2	no	—
164	#123×C₆₁	—	2	2	no	—
165	#123×C₆₁	—	2	2	no	—
166	#123×C₆₁	—	2	2	no	—
167	#123×C₆₁	—	2	2	no	—
168	C₂²⋊Q₈×C₆₁	—	2	2	no	—
169	C₂²⋊Q₈×C₆₁	—	2	1	no	—
170	C₂²⋊Q₈×C₆₁	—	2	1	no	—
171	C₂²⋊Q₈×C₆₁	—	2	1	no	—
172	C₂²⋊Q₈×C₆₁	—	2	2	no	—
173	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
174	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
175	#121×C₆₁	—	2	2	no	—
176	#121×C₆₁	—	2	2	no	—
177	#121×C₆₁	—	2	2	no	—
178	#121×C₆₁	—	2	2	no	—
179	#121×C₆₁	—	2	2	no	—
180	#121×C₆₁	—	2	2	no	—
181	#121×C₆₁	—	2	2	no	—
182	#121×C₆₁	—	2	1	no	—
183	#121×C₆₁	—	2	1	no	—
184	#121×C₆₁	—	2	2	no	—
185	#121×C₆₁	—	2	2	no	—
186	#121×C₆₁	D₄	1	1	yes	characteristic
187	#121×C₆₁	D₄	1	1	yes	characteristic
188	#121×C₆₁	D₄	1	2	yes	—
189	#121×C₆₁	C₂³	1	2	yes	—
190	#121×C₆₁	C₂³	1	1	yes	characteristic
191	#121×C₆₁	C₂³	1	2	yes	—
192	#121×C₆₁	C₂³	1	2	yes	—
193	#121×C₆₁	C₂³	1	2	yes	—
194	#121×C₆₁	C₂³	1	2	yes	—
195	#121×C₆₁	C₂³	1	2	yes	—
196	#121×C₆₁	C₂³	1	2	yes	—
197	#121×C₆₁	C₂³	1	2	yes	—
198	#120×C₆₁	—	2	2	no	—
199	#120×C₆₁	—	2	2	no	—
200	#120×C₆₁	—	2	2	no	—
201	#120×C₆₁	—	2	2	no	—
202	#120×C₆₁	—	2	2	no	—
203	#120×C₆₁	—	2	2	no	—
204	C₄×Q₈×C₆₁	—	2	2	no	—
205	C₄×Q₈×C₆₁	—	2	1	no	—
206	C₄×Q₈×C₆₁	—	2	1	no	—
207	C₄×Q₈×C₆₁	—	2	1	no	—
208	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
209	C₄×D₄×C₆₁	—	2	2	no	—
210	C₄×D₄×C₆₁	—	2	2	no	—
211	C₄×D₄×C₆₁	—	2	2	no	—
212	C₄×D₄×C₆₁	—	2	1	no	—
213	C₄×D₄×C₆₁	—	2	1	no	—
214	C₄×D₄×C₆₁	—	2	2	no	—
215	C₄×D₄×C₆₁	—	2	2	no	—
216	C₄×D₄×C₆₁	—	2	2	no	—
217	C₄×D₄×C₆₁	—	2	1	no	—
218	C₄×D₄×C₆₁	—	2	1	no	—
219	C₄×D₄×C₆₁	—	2	1	no	—
220	C₄×D₄×C₆₁	C₂³	1	2	yes	—
221	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
222	C₄×D₄×C₆₁	C₂³	1	2	yes	—
223	C₄×D₄×C₆₁	C₂³	1	2	yes	—
224	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
225	C₄×D₄×C₆₁	C₂³	1	2	yes	—
226	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
227	#117×C₆₁	—	2	2	no	—
228	#117×C₆₁	—	2	1	no	—
229	#117×C₆₁	C₂³	1	2	yes	—
230	#117×C₆₁	C₂³	1	2	yes	—
231	#117×C₆₁	C₂³	1	2	yes	—
232	#117×C₆₁	C₂³	1	2	yes	—
233	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
234	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
235	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
236	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
238	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
239	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
240	#107×C₆₁	C₂³	1	2	yes	—
241	#107×C₆₁	C₂³	1	2	yes	—
242	#107×C₆₁	C₂³	1	2	yes	—
243	#107×C₆₁	C₂³	1	2	yes	—
244	#107×C₆₁	C₂³	1	2	yes	—
245	#106×C₆₁	C₂³	1	2	yes	—
246	#106×C₆₁	C₂³	1	2	yes	—
247	#106×C₆₁	C₂³	1	2	yes	—
248	#106×C₆₁	C₂³	1	2	yes	—
249	#106×C₆₁	C₂³	1	2	yes	—
250	#106×C₆₁	C₂³	1	2	yes	—
251	#106×C₆₁	C₂³	1	2	yes	—
252	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
253	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
254	#103×C₆₁	C₂³	1	2	yes	—
255	#103×C₆₁	C₂³	1	2	yes	—
256	#103×C₆₁	C₂³	1	2	yes	—
257	#102×C₆₁	C₂³	1	2	yes	—
258	#102×C₆₁	C₂³	1	2	yes	—
259	#102×C₆₁	C₂³	1	2	yes	—
260	#102×C₆₁	C₂³	1	2	yes	—
261	#102×C₆₁	C₂³	1	2	yes	—
262	#102×C₆₁	C₂³	1	2	yes	—
263	#102×C₆₁	C₂³	1	2	yes	—
264	#102×C₆₁	C₂³	1	2	yes	—
265	#102×C₆₁	C₂³	1	2	yes	—
266	#102×C₆₁	C₂³	1	2	yes	—
267	#102×C₆₁	C₂³	1	2	yes	—
268	#102×C₆₁	C₂³	1	2	yes	—
269	#102×C₆₁	C₂³	1	2	yes	—
270	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
271	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
272	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
273	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
274	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
275	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
276	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
277	#97×C₆₁	C₂³	1	2	yes	—
278	#97×C₆₁	C₂³	1	1	yes	characteristic
279	#97×C₆₁	C₂³	1	1	yes	characteristic
280	C₂⁴×C₆₁	—	2	1	no	—
281	C₂⁴×C₆₁	—	2	2	no	—
282	#41×C₆₁	—	4	2	no	—
283	#41×C₆₁	—	4	2	no	—
284	#41×C₆₁	—	4	2	no	—
285	#41×C₆₁	—	4	2	no	—
286	#41×C₆₁	—	8	2	no	—
287	#41×C₆₁	—	8	4	no	—
288	#41×C₆₁	—	8	2	no	—
289	C₂×Q₈×C₆₁	—	2	1	no	—
290	C₂×Q₈×C₆₁	—	2	1	no	—
291	C₂×Q₈×C₆₁	—	2	1	no	—
292	C₂×Q₈×C₆₁	C₂×D₄	1	2	yes	—
293	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
294	C₂×D₄×C₆₁	—	2	1	no	—
295	C₂×D₄×C₆₁	—	2	2	no	—
296	C₂×D₄×C₆₁	—	2	2	no	—
297	C₂×D₄×C₆₁	—	2	2	no	—
298	C₂×D₄×C₆₁	—	2	2	no	—
299	C₂×D₄×C₆₁	—	2	2	no	—
300	C₂×D₄×C₆₁	—	2	2	no	—
301	C₂×D₄×C₆₁	—	2	2	no	—
302	C₂×D₄×C₆₁	—	2	2	no	—
303	C₂×D₄×C₆₁	—	2	2	no	—
304	C₂×D₄×C₆₁	—	2	1	no	—
305	C₂×D₄×C₆₁	—	2	1	no	—
306	C₂×D₄×C₆₁	—	2	1	no	—
307	C₂×D₄×C₆₁	—	2	2	no	—
308	C₂×D₄×C₆₁	—	4	2	no	—
309	C₂×D₄×C₆₁	—	4	2	no	—
310	C₂×D₄×C₆₁	—	4	2	no	—
311	C₂×D₄×C₆₁	—	8	2	no	—
312	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
313	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
314	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
315	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
316	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
317	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
318	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
319	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
320	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₆₁	—	2	1	no	—
322	C₂²×C₄×C₆₁	—	2	2	no	—
323	C₂²×C₄×C₆₁	—	2	2	no	—
324	C₂²×C₄×C₆₁	—	2	2	no	—
325	C₂²×C₄×C₆₁	—	2	2	no	—
326	C₂²×C₄×C₆₁	—	2	1	no	—
327	C₂²×C₄×C₆₁	—	2	2	no	—
328	C₂²×C₄×C₆₁	—	2	2	no	—
329	C₂²×C₄×C₆₁	—	2	2	no	—
330	C₂²×C₄×C₆₁	—	8	2	no	—
331	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
335	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
336	SD₁₆×C₆₁	—	4	2	no	—
337	D₈×C₆₁	—	4	2	no	—
338	D₈×C₆₁	—	4	2	no	—
339	D₈×C₆₁	—	4	2	no	—
340	M₁₆×C₆₁	—	4	2	no	—
341	M₁₆×C₆₁	—	4	2	no	—
342	C₂×C₈×C₆₁	—	4	2	no	—
343	C₂×C₈×C₆₁	—	4	2	no	—
344	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
345	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
346	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
347	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
348	C₄⋊C₄×C₆₁	—	2	1	no	—
349	C₄⋊C₄×C₆₁	—	2	2	no	—
350	C₄⋊C₄×C₆₁	—	2	2	no	—
351	C₄⋊C₄×C₆₁	—	2	2	no	—
352	C₄⋊C₄×C₆₁	—	2	1	no	—
353	C₄⋊C₄×C₆₁	—	2	1	no	—
354	C₄⋊C₄×C₆₁	—	2	1	no	—
355	C₄⋊C₄×C₆₁	—	2	1	no	—
356	C₄⋊C₄×C₆₁	—	2	2	no	—
357	C₄⋊C₄×C₆₁	—	2	1	no	—
358	C₄⋊C₄×C₆₁	—	2	2	no	—
359	C₄⋊C₄×C₆₁	—	2	2	no	—
360	C₄⋊C₄×C₆₁	—	2	1	no	—
361	C₄⋊C₄×C₆₁	—	2	1	no	—
362	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
363	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
364	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
365	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
366	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
367	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
368	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
369	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
370	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
371	C₂²⋊C₄×C₆₁	—	2	2	no	—
372	C₂²⋊C₄×C₆₁	—	2	2	no	—
373	C₂²⋊C₄×C₆₁	—	2	2	no	—
374	C₂²⋊C₄×C₆₁	—	2	2	no	—
375	C₂²⋊C₄×C₆₁	—	2	2	no	—
376	C₂²⋊C₄×C₆₁	—	2	1	no	—
377	C₂²⋊C₄×C₆₁	—	2	1	no	—
378	C₂²⋊C₄×C₆₁	—	2	2	no	—
379	C₂²⋊C₄×C₆₁	—	2	2	no	—
380	C₂²⋊C₄×C₆₁	—	2	2	no	—
381	C₂²⋊C₄×C₆₁	—	2	1	no	—
382	C₂²⋊C₄×C₆₁	—	2	1	no	—
383	C₂²⋊C₄×C₆₁	—	2	2	no	—
384	C₂²⋊C₄×C₆₁	—	2	2	no	—
385	C₂²⋊C₄×C₆₁	—	2	2	no	—
386	C₂²⋊C₄×C₆₁	—	2	2	no	—
387	C₂²⋊C₄×C₆₁	—	2	2	no	—
388	C₂²⋊C₄×C₆₁	—	2	2	no	—
389	C₂²⋊C₄×C₆₁	—	2	2	no	—
390	C₂²⋊C₄×C₆₁	—	2	1	no	—
391	C₂²⋊C₄×C₆₁	—	2	2	no	—
392	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
393	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
394	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
395	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
396	C₄²×C₆₁	—	2	2	no	—
397	C₄²×C₆₁	—	2	2	no	—
398	C₄²×C₆₁	—	2	1	no	—
399	C₄²×C₆₁	—	2	2	no	—
400	C₄²×C₆₁	—	2	2	no	—
401	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
402	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
403	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
404	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
405	C₂³×C₆₁	—	2	2	no	—
406	C₂³×C₆₁	—	2	1	no	—
407	C₂³×C₆₁	—	2	2	no	—
408	C₂³×C₆₁	—	4	2	no	—
409	C₂³×C₆₁	—	8	1	no	—
410	C₂³×C₆₁	—	8	1	no	—
411	C₂³×C₆₁	—	8	2	no	—
412	C₂³×C₆₁	—	8	2	no	—
413	C₂³×C₆₁	—	8	2	no	—
414	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
415	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
416	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
417	Q₈×C₆₁	—	2	2	no	—
418	Q₈×C₆₁	—	4	2	no	—
419	Q₈×C₆₁	—	4	2	no	—
420	Q₈×C₆₁	—	4	2	no	—
421	Q₈×C₆₁	—	8	1	no	—
422	D₄×C₆₁	—	2	2	no	—
423	D₄×C₆₁	—	2	2	no	—
424	D₄×C₆₁	—	2	2	no	—
425	D₄×C₆₁	—	2	2	no	—
426	D₄×C₆₁	—	2	2	no	—
427	D₄×C₆₁	—	4	1	no	—
428	D₄×C₆₁	—	4	2	no	—
429	D₄×C₆₁	—	4	2	no	—
430	D₄×C₆₁	—	4	2	no	—
431	D₄×C₆₁	—	4	2	no	—
432	D₄×C₆₁	—	4	1	no	—
433	D₄×C₆₁	—	4	2	no	—
434	D₄×C₆₁	—	4	2	no	—
435	D₄×C₆₁	—	8	1	no	—
436	D₄×C₆₁	—	8	2	no	—
437	D₄×C₆₁	—	8	1	no	—
438	D₄×C₆₁	—	8	2	no	—
439	D₄×C₆₁	—	8	2	no	—
440	D₄×C₆₁	—	8	2	no	—
441	D₄×C₆₁	—	8	2	no	—
442	D₄×C₆₁	—	8	2	no	—
443	D₄×C₆₁	—	8	2	no	—
444	D₄×C₆₁	—	8	2	no	—
445	D₄×C₆₁	—	8	2	no	—
446	D₄×C₆₁	—	8	2	no	—
447	C₂×C₄×C₆₁	—	2	2	no	—
448	C₂×C₄×C₆₁	—	2	2	no	—
449	C₂×C₄×C₆₁	—	2	2	no	—
450	C₂×C₄×C₆₁	—	2	2	no	—
451	C₂×C₄×C₆₁	—	2	2	no	—
452	C₂×C₄×C₆₁	—	2	1	no	—
453	C₂×C₄×C₆₁	—	2	2	no	—
454	C₂×C₄×C₆₁	—	2	2	no	—
455	C₂×C₄×C₆₁	—	2	1	no	—
456	C₂×C₄×C₆₁	—	2	2	no	—
457	C₂×C₄×C₆₁	—	2	2	no	—
458	C₂×C₄×C₆₁	—	2	1	no	—
459	C₂×C₄×C₆₁	—	4	1	no	—
460	C₂×C₄×C₆₁	—	4	1	no	—
461	C₂×C₄×C₆₁	—	4	4	no	—
462	C₂×C₄×C₆₁	—	4	2	no	—
463	C₂×C₄×C₆₁	—	8	2	no	—
464	C₂×C₄×C₆₁	—	8	2	no	—
465	C₂×C₄×C₆₁	—	8	2	no	—
466	C₂×C₄×C₆₁	—	8	1	no	—
467	C₂×C₄×C₆₁	—	8	2	no	—
468	C₂×C₄×C₆₁	—	8	2	no	—
469	C₂×C₄×C₆₁	—	8	2	no	—
470	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
471	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
472	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
474	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
478	C₈×C₆₁	—	2	2	no	—
479	C₈×C₆₁	—	2	2	no	—
480	C₈×C₆₁	—	2	2	no	—
481	C₈×C₆₁	—	2	2	no	—
482	#61795	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
483	C₂²×C₆₁	—	2	1	no	—
484	C₂²×C₆₁	—	2	1	no	—
485	C₂²×C₆₁	—	2	2	no	—
486	C₂²×C₆₁	—	2	2	no	—
487	C₂²×C₆₁	—	2	2	no	—
488	C₂²×C₆₁	—	2	2	no	—
489	C₂²×C₆₁	—	2	1	no	—
490	C₂²×C₆₁	—	2	2	no	—
491	C₂²×C₆₁	—	2	2	no	—
492	C₂²×C₆₁	—	4	2	no	—
493	C₂²×C₆₁	—	4	1	no	—
494	C₂²×C₆₁	—	4	2	no	—
495	C₂²×C₆₁	—	4	2	no	—
496	C₂²×C₆₁	—	4	2	no	—
497	C₂²×C₆₁	—	4	1	no	—
498	C₂²×C₆₁	—	4	2	no	—
499	C₂²×C₆₁	—	4	2	no	—
500	C₂²×C₆₁	—	4	1	no	—
501	C₂²×C₆₁	—	8	4	no	—
502	C₂²×C₆₁	—	16	4	no	—
503	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
504	C₄×C₆₁	—	2	1	no	—
505	C₄×C₆₁	—	2	1	no	—
506	C₄×C₆₁	—	2	1	no	—
507	C₄×C₆₁	—	2	1	no	—
508	C₄×C₆₁	—	2	2	no	—
509	C₄×C₆₁	—	2	1	no	—
510	C₄×C₆₁	—	2	2	no	—
511	C₄×C₆₁	—	4	2	no	—
512	C₄×C₆₁	—	4	1	no	—
513	C₄×C₆₁	—	4	2	no	—
514	C₄×C₆₁	—	4	2	no	—
515	C₄×C₆₁	—	4	1	no	—
516	C₄×C₆₁	—	4	2	no	—
517	C₄×C₆₁	—	4	1	no	—
518	C₄×C₆₁	#585	1	2	yes	—
519	#3546	C₂×C₆₁	1	1	yes	characteristic, complemented
520	#3506	C₂×C₆₁	1	1	yes	characteristic, complemented
521	#3350	C₂×C₆₁	1	2	yes	complemented
522	#3347	C₂×C₆₁	1	2	yes	complemented
523	#3345	C₂×C₆₁	1	2	yes	complemented
524	#3345	C₂×C₆₁	1	2	yes	complemented
525	#3319	C₂×C₆₁	1	2	yes	complemented
526	#3318	C₂×C₆₁	1	2	yes	complemented
527	#3309	C₂×C₆₁	1	2	yes	complemented
528	#3306	C₂×C₆₁	1	2	yes	complemented
529	#3240	C₂×C₆₁	1	1	yes	characteristic, complemented
530	#3235	C₂×C₆₁	1	1	yes	characteristic, complemented
531	#3199	C₂×C₆₁	1	2	yes	complemented
532	#3198	C₂×C₆₁	1	2	yes	complemented
533	#3114	C₂×C₆₁	1	1	yes	characteristic, complemented
534	#3109	C₂×C₆₁	1	1	yes	characteristic, complemented
535	#3099	C₂×C₆₁	1	2	yes	complemented
536	#3096	C₂×C₆₁	1	2	yes	complemented
537	#2980	C₂×C₆₁	1	1	yes	characteristic, complemented
538	C₂×C₆₁	—	4	2	no	—
539	C₂×C₆₁	—	4	1	no	—
540	C₂×C₆₁	—	4	2	no	—
541	C₂×C₆₁	—	8	2	no	—
542	C₂×C₆₁	—	8	2	no	—
543	C₂×C₆₁	—	8	1	no	—
544	C₂×C₆₁	#3485	1	1	yes	characteristic
545	C₂×C₆₁	#3585	1	1	yes	characteristic
546	C₂×C₆₁	#3585	1	1	yes	characteristic
547	#560	—	2	2	no	—
548	#559	—	2	2	no	—
549	#556	—	2	1	no	—
550	#556	C₂²×C₆₁	1	1	yes	characteristic, complemented
551	#555	C₂²×C₆₁	1	2	yes	complemented
552	#553	C₂²×C₆₁	1	2	yes	—
553	#553	C₂²×C₆₁	1	2	yes	complemented
554	#553	C₂²×C₆₁	1	2	yes	complemented
555	#550	—	2	1	no	—
556	#550	—	2	1	no	—
557	#550	C₂²×C₆₁	1	1	yes	characteristic, complemented
558	#547	C₂²×C₆₁	1	1	yes	characteristic, complemented
559	#547	C₂²×C₆₁	1	2	yes	complemented
560	#546	—	2	1	no	—
561	#546	C₂²×C₆₁	1	2	yes	complemented
562	D₄²	C₂²×C₆₁	1	1	yes	characteristic, complemented
563	#542	—	2	1	no	—
564	#538	—	2	2	no	—
565	#538	—	2	1	no	—
566	#538	—	2	1	no	—
567	#537	C₂²×C₆₁	1	2	yes	—
568	#535	—	2	1	no	—
569	#535	C₂²×C₆₁	1	2	yes	—
570	#535	C₂²×C₆₁	1	2	yes	complemented
571	#533	C₂²×C₆₁	1	1	yes	characteristic, complemented
572	#532	C₂²×C₆₁	1	1	yes	characteristic
573	#532	C₂²×C₆₁	1	1	yes	characteristic
574	#529	C₂²×C₆₁	1	1	yes	characteristic
575	#525	—	2	2	no	—
576	#520	C₂²×C₆₁	1	2	yes	complemented
577	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
578	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
579	#501	C₂²×C₆₁	1	2	yes	complemented
580	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
581	#490	C₂²×C₆₁	1	2	yes	complemented
582	#489	C₂²×C₆₁	1	1	yes	characteristic, complemented
583	#489	C₂²×C₆₁	1	1	yes	characteristic, complemented
584	#485	C₂²×C₆₁	1	2	yes	complemented
585	#485	C₂²×C₆₁	1	2	yes	complemented
586	#483	C₂²×C₆₁	1	2	yes	complemented
587	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
588	#482	C₂²×C₆₁	1	2	yes	—
589	#482	C₂²×C₆₁	1	2	yes	complemented
590	#482	C₂²×C₆₁	1	2	yes	complemented
591	#482	C₂²×C₆₁	1	2	yes	complemented
592	#482	C₂²×C₆₁	1	2	yes	complemented
593	#482	C₂²×C₆₁	1	2	yes	complemented
594	#482	C₂²×C₆₁	1	2	yes	complemented
595	#482	C₂²×C₆₁	1	2	yes	complemented
596	#481	C₂²×C₆₁	1	2	yes	complemented
597	#481	C₂²×C₆₁	1	2	yes	complemented
598	#481	C₂²×C₆₁	1	2	yes	complemented
599	#481	C₂²×C₆₁	1	2	yes	complemented
600	#480	C₂²×C₆₁	1	1	yes	characteristic
601	#480	C₂²×C₆₁	1	2	yes	complemented
602	#480	C₂²×C₆₁	1	2	yes	complemented
603	#479	C₂²×C₆₁	1	2	yes	complemented
604	#478	C₂²×C₆₁	1	2	yes	complemented
605	#478	C₂²×C₆₁	1	2	yes	complemented
606	#476	C₂²×C₆₁	1	2	yes	complemented
607	#476	C₂²×C₆₁	1	2	yes	complemented
608	#474	C₂²×C₆₁	1	2	yes	complemented
609	#469	C₂²×C₆₁	1	2	yes	—
610	#469	C₂²×C₆₁	1	2	yes	—
611	#469	C₂²×C₆₁	1	2	yes	complemented
612	#468	C₂²×C₆₁	1	2	yes	complemented
613	#466	C₂²×C₆₁	1	2	yes	—
614	#466	C₂²×C₆₁	1	2	yes	—
615	#466	C₂²×C₆₁	1	2	yes	complemented
616	#465	C₂²×C₆₁	1	2	yes	complemented
617	#463	C₂²×C₆₁	1	2	yes	—
618	#459	C₂²×C₆₁	1	2	yes	—
619	#450	C₂²×C₆₁	1	1	yes	characteristic, complemented
620	#449	C₂²×C₆₁	1	2	yes	complemented
621	#449	C₂²×C₆₁	1	2	yes	complemented
622	#447	C₂²×C₆₁	1	1	yes	characteristic
623	#447	C₂²×C₆₁	1	2	yes	—
624	#447	C₂²×C₆₁	1	2	yes	—
625	#447	C₂²×C₆₁	1	2	yes	complemented
626	#442	C₂²×C₆₁	1	2	yes	—
627	#442	C₂²×C₆₁	1	2	yes	complemented
628	#442	C₂²×C₆₁	1	2	yes	complemented
629	#440	C₂²×C₆₁	1	2	yes	complemented
630	#435	C₂²×C₆₁	1	2	yes	complemented
631	#435	C₂²×C₆₁	1	2	yes	complemented
632	#435	C₂²×C₆₁	1	2	yes	complemented
633	#435	C₂²×C₆₁	1	2	yes	complemented
634	#432	C₂²×C₆₁	1	1	yes	characteristic, complemented
635	#432	C₂²×C₆₁	1	1	yes	characteristic, complemented
636	#428	C₂²×C₆₁	1	2	yes	complemented
637	#428	C₂²×C₆₁	1	2	yes	complemented
638	#427	C₂²×C₆₁	1	2	yes	complemented
639	C₂×#106	C₂²×C₆₁	1	2	yes	complemented
640	#418	C₂²×C₆₁	1	2	yes	complemented
641	#417	C₂²×C₆₁	1	2	yes	complemented
642	#416	C₂²×C₆₁	1	2	yes	complemented
643	C₂×#102	C₂²×C₆₁	1	2	yes	complemented
644	#408	C₂²×C₆₁	1	2	yes	complemented
645	#408	C₂²×C₆₁	1	2	yes	complemented
646	C₆₁	#61795	1	1	yes	characteristic, direct product factor, Sylow
647	C₂×#41	—	2	2	no	—
648	C₂×#41	—	2	1	no	—
649	C₂×#41	—	2	1	no	—
650	C₂×#41	C₂³×C₆₁	1	2	yes	—
651	C₂×#41	C₂³×C₆₁	1	2	yes	—
652	C₂²×D₄	—	2	1	no	—
653	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
654	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
655	C₂³×C₄	—	2	1	no	—
656	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
657	C₂×D₈	C₂³×C₆₁	1	2	yes	—
658	C₂×D₈	C₂³×C₆₁	1	2	yes	—
659	C₂×D₈	C₂³×C₆₁	1	2	yes	—
660	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
661	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
662	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
663	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
664	C₄⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
665	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
666	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
667	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
668	#127	—	2	1	no	—
669	#127	—	2	2	no	—
670	#127	—	2	2	no	—
671	#127	D₄×C₆₁	1	1	yes	characteristic
672	#127	C₂³×C₆₁	1	1	yes	characteristic
673	#126	—	2	2	no	—
674	#126	—	2	2	no	—
675	#126	—	2	2	no	—
676	#126	—	2	2	no	—
677	#126	—	2	1	no	—
678	#125	C₂³×C₆₁	1	1	yes	characteristic
679	#125	C₂³×C₆₁	1	2	yes	—
680	#124	—	2	2	no	—
681	#124	—	2	2	no	—
682	#124	—	2	1	no	—
683	#124	—	2	2	no	—
684	#124	—	2	2	no	—
685	#124	—	2	1	no	—
686	#124	D₄×C₆₁	1	2	yes	—
687	#124	C₂³×C₆₁	1	1	yes	characteristic
688	#123	—	2	1	no	—
689	#123	—	2	2	no	—
690	#123	—	2	2	no	—
691	#123	—	2	2	no	—
692	#123	—	2	2	no	—
693	#123	—	2	2	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	C₂²⋊Q₈	—	2	2	no	—
697	C₂²⋊Q₈	—	2	1	no	—
698	C₂²⋊Q₈	—	2	1	no	—
699	C₂²⋊Q₈	—	2	2	no	—
700	C₂²⋊Q₈	—	2	1	no	—
701	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
702	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
703	#121	—	2	2	no	—
704	#121	—	2	2	no	—
705	#121	—	2	2	no	—
706	#121	—	2	2	no	—
707	#121	—	2	2	no	—
708	#121	—	2	2	no	—
709	#121	—	2	2	no	—
710	#121	—	2	1	no	—
711	#121	—	2	1	no	—
712	#121	—	2	2	no	—
713	#121	—	2	2	no	—
714	#121	D₄×C₆₁	1	2	yes	—
715	#121	D₄×C₆₁	1	1	yes	characteristic
716	#121	D₄×C₆₁	1	1	yes	characteristic
717	#121	C₂³×C₆₁	1	1	yes	characteristic
718	#121	C₂³×C₆₁	1	2	yes	—
719	#121	C₂³×C₆₁	1	2	yes	—
720	#121	C₂³×C₆₁	1	2	yes	—
721	#121	C₂³×C₆₁	1	2	yes	—
722	#121	C₂³×C₆₁	1	2	yes	—
723	#121	C₂³×C₆₁	1	2	yes	—
724	#121	C₂³×C₆₁	1	2	yes	—
725	#121	C₂³×C₆₁	1	2	yes	—
726	#120	—	2	2	no	—
727	#120	—	2	2	no	—
728	#120	—	2	2	no	—
729	#120	—	2	2	no	—
730	#120	—	2	2	no	—
731	#120	—	2	2	no	—
732	C₄×Q₈	—	2	2	no	—
733	C₄×Q₈	—	2	1	no	—
734	C₄×Q₈	—	2	1	no	—
735	C₄×Q₈	—	2	1	no	—
736	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
737	C₄×D₄	—	2	2	no	—
738	C₄×D₄	—	2	2	no	—
739	C₄×D₄	—	2	2	no	—
740	C₄×D₄	—	2	1	no	—
741	C₄×D₄	—	2	1	no	—
742	C₄×D₄	—	2	2	no	—
743	C₄×D₄	—	2	2	no	—
744	C₄×D₄	—	2	2	no	—
745	C₄×D₄	—	2	1	no	—
746	C₄×D₄	—	2	1	no	—
747	C₄×D₄	—	2	1	no	—
748	C₄×D₄	C₂³×C₆₁	1	2	yes	—
749	C₄×D₄	C₂³×C₆₁	1	2	yes	—
750	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
751	C₄×D₄	C₂³×C₆₁	1	2	yes	—
752	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
753	C₄×D₄	C₂³×C₆₁	1	2	yes	—
754	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
755	#117	—	2	2	no	—
756	#117	—	2	1	no	—
757	#117	C₂³×C₆₁	1	2	yes	—
758	#117	C₂³×C₆₁	1	2	yes	—
759	#117	C₂³×C₆₁	1	2	yes	—
760	#117	C₂³×C₆₁	1	2	yes	—
761	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
762	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
763	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
764	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
765	C₂×C₂²⋊C₄	—	2	1	no	—
766	C₂×C₂²⋊C₄	—	2	2	no	—
767	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
768	#107	C₂³×C₆₁	1	2	yes	—
769	#107	C₂³×C₆₁	1	2	yes	—
770	#107	C₂³×C₆₁	1	2	yes	—
771	#107	C₂³×C₆₁	1	2	yes	—
772	#107	C₂³×C₆₁	1	2	yes	—
773	#106	C₂³×C₆₁	1	2	yes	—
774	#106	C₂³×C₆₁	1	2	yes	—
775	#106	C₂³×C₆₁	1	2	yes	—
776	#106	C₂³×C₆₁	1	2	yes	—
777	#106	C₂³×C₆₁	1	2	yes	—
778	#106	C₂³×C₆₁	1	2	yes	—
779	#106	C₂³×C₆₁	1	2	yes	—
780	C₄⋊C₈	C₂³×C₆₁	1	2	yes	—
781	C₄⋊C₈	C₂³×C₆₁	1	2	yes	—
782	#103	C₂³×C₆₁	1	2	yes	—
783	#103	C₂³×C₆₁	1	2	yes	—
784	#103	C₂³×C₆₁	1	2	yes	—
785	#102	C₂³×C₆₁	1	2	yes	—
786	#102	C₂³×C₆₁	1	2	yes	—
787	#102	C₂³×C₆₁	1	2	yes	—
788	#102	C₂³×C₆₁	1	2	yes	—
789	#102	C₂³×C₆₁	1	2	yes	—
790	#102	C₂³×C₆₁	1	2	yes	—
791	#102	C₂³×C₆₁	1	2	yes	—
792	#102	C₂³×C₆₁	1	2	yes	—
793	#102	C₂³×C₆₁	1	2	yes	—
794	#102	C₂³×C₆₁	1	2	yes	—
795	#102	C₂³×C₆₁	1	2	yes	—
796	#102	C₂³×C₆₁	1	2	yes	—
797	#102	C₂³×C₆₁	1	2	yes	—
798	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
799	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
800	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
801	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
802	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
803	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
804	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
805	#97	C₂³×C₆₁	1	2	yes	—
806	#97	C₂³×C₆₁	1	1	yes	characteristic
807	#97	C₂³×C₆₁	1	1	yes	characteristic
808	C₂⁴	—	2	1	no	—
809	C₂⁴	—	2	2	no	—
810	#41	—	4	2	no	—
811	#41	—	4	2	no	—
812	#41	—	4	2	no	—
813	#41	—	4	2	no	—
814	#41	—	8	2	no	—
815	#41	—	8	4	no	—
816	#41	—	8	2	no	—
817	C₂×Q₈	—	2	1	no	—
818	C₂×Q₈	—	2	1	no	—
819	C₂×Q₈	—	2	1	no	—
820	C₂×Q₈	C₂×D₄×C₆₁	1	2	yes	—
821	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
822	C₂×D₄	—	2	1	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	2	2	no	—
830	C₂×D₄	—	2	2	no	—
831	C₂×D₄	—	2	2	no	—
832	C₂×D₄	—	2	1	no	—
833	C₂×D₄	—	2	1	no	—
834	C₂×D₄	—	2	1	no	—
835	C₂×D₄	—	2	2	no	—
836	C₂×D₄	—	4	2	no	—
837	C₂×D₄	—	4	2	no	—
838	C₂×D₄	—	4	2	no	—
839	C₂×D₄	—	8	2	no	—
840	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
841	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
842	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
843	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
844	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
845	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
846	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
847	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
848	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	2	no	—
851	C₂²×C₄	—	2	2	no	—
852	C₂²×C₄	—	2	2	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	8	2	no	—
859	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
860	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
862	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
863	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
864	SD₁₆	—	4	2	no	—
865	D₈	—	4	2	no	—
866	D₈	—	4	2	no	—
867	D₈	—	4	2	no	—
868	M₁₆	—	4	2	no	—
869	M₁₆	—	4	2	no	—
870	C₂×C₈	—	4	2	no	—
871	C₂×C₈	—	4	2	no	—
872	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
873	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
874	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
875	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
876	C₄⋊C₄	—	2	1	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	1	no	—
881	C₄⋊C₄	—	2	1	no	—
882	C₄⋊C₄	—	2	1	no	—
883	C₄⋊C₄	—	2	1	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	1	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	1	no	—
889	C₄⋊C₄	—	2	1	no	—
890	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
891	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
892	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
893	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
894	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
895	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
896	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
897	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
898	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	1	no	—
905	C₂²⋊C₄	—	2	1	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	1	no	—
910	C₂²⋊C₄	—	2	1	no	—
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	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	1	no	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
921	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
922	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
923	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
924	C₄²	—	2	2	no	—
925	C₄²	—	2	2	no	—
926	C₄²	—	2	1	no	—
927	C₄²	—	2	2	no	—
928	C₄²	—	2	2	no	—
929	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
930	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
931	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
932	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
933	C₂³	—	2	2	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	4	2	no	—
937	C₂³	—	8	1	no	—
938	C₂³	—	8	1	no	—
939	C₂³	—	8	2	no	—
940	C₂³	—	8	2	no	—
941	C₂³	—	8	2	no	—
942	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
943	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
944	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
945	Q₈	—	2	2	no	—
946	Q₈	—	4	2	no	—
947	Q₈	—	4	2	no	—
948	Q₈	—	4	2	no	—
949	Q₈	—	8	1	no	—
950	D₄	—	2	2	no	—
951	D₄	—	2	2	no	—
952	D₄	—	2	2	no	—
953	D₄	—	2	2	no	—
954	D₄	—	2	2	no	—
955	D₄	—	4	1	no	—
956	D₄	—	4	2	no	—
957	D₄	—	4	2	no	—
958	D₄	—	4	2	no	—
959	D₄	—	4	2	no	—
960	D₄	—	4	1	no	—
961	D₄	—	4	2	no	—
962	D₄	—	4	2	no	—
963	D₄	—	8	1	no	—
964	D₄	—	8	2	no	—
965	D₄	—	8	1	no	—
966	D₄	—	8	2	no	—
967	D₄	—	8	2	no	—
968	D₄	—	8	2	no	—
969	D₄	—	8	2	no	—
970	D₄	—	8	2	no	—
971	D₄	—	8	2	no	—
972	D₄	—	8	2	no	—
973	D₄	—	8	2	no	—
974	D₄	—	8	2	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	4	1	no	—
988	C₂×C₄	—	4	1	no	—
989	C₂×C₄	—	4	4	no	—
990	C₂×C₄	—	4	2	no	—
991	C₂×C₄	—	8	2	no	—
992	C₂×C₄	—	8	2	no	—
993	C₂×C₄	—	8	2	no	—
994	C₂×C₄	—	8	1	no	—
995	C₂×C₄	—	8	2	no	—
996	C₂×C₄	—	8	2	no	—
997	C₂×C₄	—	8	2	no	—
998	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
999	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1000	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1001	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1002	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1003	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1004	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1005	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1006	C₈	—	2	2	no	—
1007	C₈	—	2	2	no	—
1008	C₈	—	2	2	no	—
1009	C₈	—	2	2	no	—
1010	C₂²	—	2	1	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	2	2	no	—
1013	C₂²	—	2	2	no	—
1014	C₂²	—	2	2	no	—
1015	C₂²	—	2	2	no	—
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	2	no	—
1018	C₂²	—	2	2	no	—
1019	C₂²	—	4	2	no	—
1020	C₂²	—	4	1	no	—
1021	C₂²	—	4	2	no	—
1022	C₂²	—	4	2	no	—
1023	C₂²	—	4	2	no	—
1024	C₂²	—	4	1	no	—
1025	C₂²	—	4	2	no	—
1026	C₂²	—	4	2	no	—
1027	C₂²	—	4	1	no	—
1028	C₂²	—	8	4	no	—
1029	C₂²	—	16	4	no	—
1030	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1031	C₄	—	2	1	no	—
1032	C₄	—	2	1	no	—
1033	C₄	—	2	1	no	—
1034	C₄	—	2	1	no	—
1035	C₄	—	2	2	no	—
1036	C₄	—	2	1	no	—
1037	C₄	—	2	2	no	—
1038	C₄	—	4	2	no	—
1039	C₄	—	4	1	no	—
1040	C₄	—	4	2	no	—
1041	C₄	—	4	2	no	—
1042	C₄	—	4	1	no	—
1043	C₄	—	4	2	no	—
1044	C₄	—	4	1	no	—
1045	C₄	C₆₁×#585	1	2	yes	—
1046	C₂	—	4	1	no	—
1047	C₂	—	4	2	no	—
1048	C₂	—	4	2	no	—
1049	C₂	—	8	2	no	—
1050	C₂	—	8	1	no	—
1051	C₂	—	8	2	no	—
1052	C₂	C₆₁×#3485	1	1	yes	characteristic
1053	C₂	C₆₁×#3585	1	1	yes	characteristic
1054	C₂	C₆₁×#3585	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×#3546	C₂	semidirect
2. C₆₁×#3506	C₂	semidirect
3. C₆₁×#3350	C₂	semidirect
4. C₆₁×#3347	C₂	semidirect
5. C₆₁×#3345	C₂	semidirect
6. C₆₁×#3345	C₂	semidirect
7. C₆₁×#3319	C₂	semidirect
8. C₆₁×#3318	C₂	semidirect
9. C₆₁×#3309	C₂	semidirect
10. C₆₁×#3306	C₂	semidirect
11. C₆₁×#3240	C₂	semidirect
12. C₆₁×#3235	C₂	semidirect
13. C₆₁×#3199	C₂	semidirect
14. C₆₁×#3198	C₂	semidirect
15. C₆₁×#3114	C₂	semidirect
16. C₆₁×#3109	C₂	semidirect
17. C₆₁×#3099	C₂	semidirect
18. C₆₁×#3096	C₂	semidirect
19. C₆₁×#2980	C₂	semidirect
23. C₆₁×#556	C₂²	semidirect
24. C₆₁×#555	C₂²	semidirect
26. C₆₁×#553	C₂²	semidirect
27. C₆₁×#553	C₂²	semidirect
30. C₆₁×#550	C₂²	semidirect
31. C₆₁×#547	C₂²	semidirect
32. C₆₁×#547	C₂²	semidirect
34. C₆₁×#546	C₂²	semidirect
35. D₄²×C₆₁	C₂²	semidirect
43. C₆₁×#535	C₂²	semidirect
44. C₆₁×#533	C₂²	semidirect
49. C₆₁×#520	C₂²	semidirect
50. C₂×C₄×D₄×C₆₁	C₂²	semidirect
51. C₆₁×#501	C₂²	semidirect
52. C₆₁×#501	C₂²	semidirect
53. C₆₁×#501	C₂²	semidirect
54. C₆₁×#490	C₂²	semidirect
55. C₆₁×#489	C₂²	semidirect
56. C₆₁×#489	C₂²	semidirect
57. C₆₁×#485	C₂²	semidirect
58. C₆₁×#485	C₂²	semidirect
59. C₆₁×#483	C₂²	semidirect
60. C₆₁×#483	C₂²	semidirect
62. C₆₁×#482	C₂²	semidirect
63. C₆₁×#482	C₂²	semidirect
64. C₆₁×#482	C₂²	semidirect
65. C₆₁×#482	C₂²	semidirect
66. C₆₁×#482	C₂²	semidirect
67. C₆₁×#482	C₂²	semidirect
68. C₆₁×#482	C₂²	semidirect
69. C₆₁×#481	C₂²	semidirect
70. C₆₁×#481	C₂²	semidirect
71. C₆₁×#481	C₂²	semidirect
72. C₆₁×#481	C₂²	semidirect
74. C₆₁×#480	C₂²	semidirect
75. C₆₁×#480	C₂²	semidirect
76. C₆₁×#479	C₂²	semidirect
77. C₆₁×#478	C₂²	semidirect
78. C₆₁×#478	C₂²	semidirect
79. C₆₁×#476	C₂²	semidirect
80. C₆₁×#476	C₂²	semidirect
81. C₆₁×#474	C₂²	semidirect
84. C₆₁×#469	C₂²	semidirect
85. C₆₁×#468	C₂²	semidirect
88. C₆₁×#466	C₂²	semidirect
89. C₆₁×#465	C₂²	semidirect
92. C₆₁×#450	C₂²	semidirect
93. C₆₁×#449	C₂²	semidirect
94. C₆₁×#449	C₂²	semidirect
98. C₆₁×#447	C₂²	semidirect
100. C₆₁×#442	C₂²	semidirect
101. C₆₁×#442	C₂²	semidirect
102. C₆₁×#440	C₂²	semidirect
103. C₆₁×#435	C₂²	semidirect
104. C₆₁×#435	C₂²	semidirect
105. C₆₁×#435	C₂²	semidirect
106. C₆₁×#435	C₂²	semidirect
107. C₆₁×#432	C₂²	semidirect
108. C₆₁×#432	C₂²	semidirect
109. C₆₁×#428	C₂²	semidirect
110. C₆₁×#428	C₂²	semidirect
111. C₆₁×#427	C₂²	semidirect
112. C₂×#106×C₆₁	C₂²	semidirect
113. C₆₁×#418	C₂²	semidirect
114. C₆₁×#417	C₂²	semidirect
115. C₆₁×#416	C₂²	semidirect
116. C₂×#102×C₆₁	C₂²	semidirect
117. C₆₁×#408	C₂²	semidirect
118. C₆₁×#408	C₂²	semidirect
482. #61795	C₆₁	direct (N × H)
519. #3546	C₂×C₆₁	semidirect
520. #3506	C₂×C₆₁	semidirect
521. #3350	C₂×C₆₁	semidirect
522. #3347	C₂×C₆₁	semidirect
523. #3345	C₂×C₆₁	semidirect
524. #3345	C₂×C₆₁	semidirect
525. #3319	C₂×C₆₁	semidirect
526. #3318	C₂×C₆₁	semidirect
527. #3309	C₂×C₆₁	semidirect
528. #3306	C₂×C₆₁	semidirect
529. #3240	C₂×C₆₁	semidirect
530. #3235	C₂×C₆₁	semidirect
531. #3199	C₂×C₆₁	semidirect
532. #3198	C₂×C₆₁	semidirect
533. #3114	C₂×C₆₁	semidirect
534. #3109	C₂×C₆₁	semidirect
535. #3099	C₂×C₆₁	semidirect
536. #3096	C₂×C₆₁	semidirect
537. #2980	C₂×C₆₁	semidirect
550. #556	C₂²×C₆₁	semidirect
551. #555	C₂²×C₆₁	semidirect
553. #553	C₂²×C₆₁	semidirect
554. #553	C₂²×C₆₁	semidirect
557. #550	C₂²×C₆₁	semidirect
558. #547	C₂²×C₆₁	semidirect
559. #547	C₂²×C₆₁	semidirect
561. #546	C₂²×C₆₁	semidirect
562. D₄²	C₂²×C₆₁	semidirect
570. #535	C₂²×C₆₁	semidirect
571. #533	C₂²×C₆₁	semidirect
576. #520	C₂²×C₆₁	semidirect
577. C₂×C₄×D₄	C₂²×C₆₁	semidirect
578. #501	C₂²×C₆₁	semidirect
579. #501	C₂²×C₆₁	semidirect
580. #501	C₂²×C₆₁	semidirect
581. #490	C₂²×C₆₁	semidirect
582. #489	C₂²×C₆₁	semidirect
583. #489	C₂²×C₆₁	semidirect
584. #485	C₂²×C₆₁	semidirect
585. #485	C₂²×C₆₁	semidirect
586. #483	C₂²×C₆₁	semidirect
587. #483	C₂²×C₆₁	semidirect
589. #482	C₂²×C₆₁	semidirect
590. #482	C₂²×C₆₁	semidirect
591. #482	C₂²×C₆₁	semidirect
592. #482	C₂²×C₆₁	semidirect
593. #482	C₂²×C₆₁	semidirect
594. #482	C₂²×C₆₁	semidirect
595. #482	C₂²×C₆₁	semidirect
596. #481	C₂²×C₆₁	semidirect
597. #481	C₂²×C₆₁	semidirect
598. #481	C₂²×C₆₁	semidirect
599. #481	C₂²×C₆₁	semidirect
601. #480	C₂²×C₆₁	semidirect
602. #480	C₂²×C₆₁	semidirect
603. #479	C₂²×C₆₁	semidirect
604. #478	C₂²×C₆₁	semidirect
605. #478	C₂²×C₆₁	semidirect
606. #476	C₂²×C₆₁	semidirect
607. #476	C₂²×C₆₁	semidirect
608. #474	C₂²×C₆₁	semidirect
611. #469	C₂²×C₆₁	semidirect
612. #468	C₂²×C₆₁	semidirect
615. #466	C₂²×C₆₁	semidirect
616. #465	C₂²×C₆₁	semidirect
619. #450	C₂²×C₆₁	semidirect
620. #449	C₂²×C₆₁	semidirect
621. #449	C₂²×C₆₁	semidirect
625. #447	C₂²×C₆₁	semidirect
627. #442	C₂²×C₆₁	semidirect
628. #442	C₂²×C₆₁	semidirect
629. #440	C₂²×C₆₁	semidirect
630. #435	C₂²×C₆₁	semidirect
631. #435	C₂²×C₆₁	semidirect
632. #435	C₂²×C₆₁	semidirect
633. #435	C₂²×C₆₁	semidirect
634. #432	C₂²×C₆₁	semidirect
635. #432	C₂²×C₆₁	semidirect
636. #428	C₂²×C₆₁	semidirect
637. #428	C₂²×C₆₁	semidirect
638. #427	C₂²×C₆₁	semidirect
639. C₂×#106	C₂²×C₆₁	semidirect
640. #418	C₂²×C₆₁	semidirect
641. #417	C₂²×C₆₁	semidirect
642. #416	C₂²×C₆₁	semidirect
643. C₂×#102	C₂²×C₆₁	semidirect
644. #408	C₂²×C₆₁	semidirect
645. #408	C₂²×C₆₁	semidirect
646. C₆₁	#61795	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×#3546	2
C₆₁×#3506	2
C₆₁×#3350	2
C₆₁×#3347	2
C₆₁×#3345	2
C₆₁×#3319	2
C₆₁×#3318	2
C₆₁×#3309	2
C₆₁×#3306	2
C₆₁×#3240	2
C₆₁×#3235	2
C₆₁×#3199	2
C₆₁×#3198	2
C₆₁×#3114	2
C₆₁×#3109	2
C₆₁×#3099	2
C₆₁×#3096	2
C₆₁×#2980	2
#61795	61

Subgroups — C61×#61795 #29565228

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61795 #29565228