Subgroups — C₆₁×#63010 #29566443

Order 15616.

7258 conjugacy classes of subgroups.

The subgroup lattice has 912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3524	C₂	1	4	yes	maximal, complemented
2	C₆₁×#3522	C₂	1	2	yes	maximal, complemented
3	C₆₁×#3514	C₂	1	6	yes	maximal, complemented
4	C₆₁×#3513	C₂	1	12	yes	maximal, complemented
5	C₆₁×#3510	C₂	1	6	yes	maximal, complemented
6	C₆₁×#3508	C₂	1	3	yes	maximal, complemented
7	C₆₁×#3507	C₂	1	3	yes	maximal, complemented
8	C₆₁×#3506	C₂	1	6	yes	maximal, complemented
9	C₆₁×#3500	C₂	1	2	yes	maximal, complemented
10	C₆₁×#3498	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3481	C₂	1	6	yes	maximal, complemented
12	C₆₁×#3480	C₂	1	3	yes	maximal, complemented
13	C₆₁×#3480	C₂	1	2	yes	maximal, complemented
14	C₂×C₆₁×#559	C₂	1	3	yes	maximal, complemented
15	Q₈×#41×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×2₋¹⁺⁴×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×H(5,𝔽₂)×C₆₁	C₂	1	2	yes	maximal, complemented
18	C₂×2₋¹⁺⁴×C₆₁	C₂²	1	1	yes	characteristic
19	C₂×H(5,𝔽₂)×C₆₁	C₂²	1	2	yes	—
20	C₆₁×#559	C₂²	1	3	yes	complemented
21	C₆₁×#559	C₂²	1	6	yes	complemented
22	C₆₁×#559	C₂²	1	12	yes	complemented
23	C₆₁×#559	C₂²	1	6	yes	complemented
24	C₆₁×#559	C₂²	1	12	yes	complemented
25	C₆₁×#559	C₂²	1	6	yes	complemented
26	C₆₁×#559	C₂²	1	6	yes	complemented
27	C₆₁×#559	C₂²	1	6	yes	complemented
28	Q₈²×C₆₁	C₂²	1	1	yes	characteristic, complemented
29	C₆₁×#557	C₂²	1	1	yes	characteristic, complemented
30	C₆₁×#557	C₂²	1	2	yes	complemented
31	C₆₁×#557	C₂²	1	3	yes	complemented
32	C₆₁×#556	C₂²	1	1	yes	characteristic, complemented
33	C₆₁×#556	C₂²	1	6	yes	complemented
34	C₆₁×#556	C₂²	1	6	yes	complemented
35	C₆₁×#556	C₂²	1	12	yes	complemented
36	C₆₁×#555	C₂²	1	12	yes	complemented
37	C₆₁×#554	C₂²	1	3	yes	complemented
38	C₆₁×#554	C₂²	1	6	yes	complemented
39	C₆₁×#554	C₂²	1	6	yes	complemented
40	C₆₁×#553	C₂²	1	6	yes	complemented
41	C₆₁×#553	C₂²	1	12	yes	complemented
42	C₆₁×#553	C₂²	1	12	yes	complemented
43	C₆₁×#553	C₂²	1	12	yes	complemented
44	C₆₁×#552	C₂²	1	12	yes	complemented
45	C₆₁×#551	C₂²	1	24	yes	complemented
46	C₆₁×#551	C₂²	1	24	yes	complemented
47	C₆₁×#550	C₂²	1	2	yes	—
48	C₆₁×#550	C₂²	1	2	yes	—
49	C₆₁×#550	C₂²	1	3	yes	complemented
50	C₆₁×#550	C₂²	1	6	yes	complemented
51	D₄×Q₈×C₆₁	C₂²	1	3	yes	complemented
52	C₆₁×#548	C₂²	1	4	yes	complemented
53	C₆₁×#548	C₂²	1	6	yes	complemented
54	C₆₁×#548	C₂²	1	4	yes	complemented
55	C₆₁×#547	C₂²	1	12	yes	complemented
56	C₆₁×#546	C₂²	1	12	yes	complemented
57	C₆₁×#546	C₂²	1	12	yes	complemented
58	C₆₁×#546	C₂²	1	12	yes	complemented
59	C₆₁×#546	C₂²	1	12	yes	complemented
60	D₄²×C₆₁	C₂²	1	6	yes	—
61	D₄²×C₆₁	C₂²	1	6	yes	—
62	C₆₁×#542	C₂²	1	12	yes	complemented
63	C₆₁×#542	C₂²	1	12	yes	complemented
64	C₆₁×#540	C₂²	1	12	yes	complemented
65	C₆₁×#539	C₂²	1	12	yes	complemented
66	C₆₁×#538	C₂²	1	24	yes	complemented
67	C₆₁×#536	C₂²	1	6	yes	complemented
68	C₆₁×#535	C₂²	1	6	yes	—
69	C₆₁×#535	C₂²	1	6	yes	complemented
70	C₆₁×#533	C₂²	1	6	yes	complemented
71	C₆₁×#533	C₂²	1	3	yes	complemented
72	C₆₁×#532	C₂²	1	3	yes	—
73	C₆₁×#532	C₂²	1	6	yes	complemented
74	C₆₁×#532	C₂²	1	6	yes	complemented
75	C₆₁×#532	C₂²	1	6	yes	complemented
76	C₂×#127×C₆₁	C₂²	1	3	yes	—
77	C₆₁×#529	C₂²	1	12	yes	complemented
78	C₆₁×#529	C₂²	1	12	yes	complemented
79	C₆₁×#529	C₂²	1	6	yes	complemented
80	C₆₁×#529	C₂²	1	12	yes	complemented
81	C₆₁×#529	C₂²	1	12	yes	complemented
82	C₂×#124×C₆₁	C₂²	1	6	yes	complemented
83	C₂×#124×C₆₁	C₂²	1	6	yes	complemented
84	C₆₁×#525	C₂²	1	24	yes	complemented
85	C₂×#123×C₆₁	C₂²	1	12	yes	complemented
86	C₆₁×#520	C₂²	1	1	yes	characteristic
87	C₆₁×#520	C₂²	1	6	yes	complemented
88	C₆₁×#520	C₂²	1	4	yes	complemented
89	C₆₁×#520	C₂²	1	3	yes	complemented
90	C₆₁×#520	C₂²	1	6	yes	complemented
91	C₆₁×#519	C₂²	1	3	yes	complemented
92	C₆₁×#519	C₂²	1	2	yes	complemented
93	C₆₁×#518	C₂²	1	6	yes	complemented
94	C₆₁×#518	C₂²	1	12	yes	complemented
95	C₄×#41×C₆₁	C₂²	1	2	yes	—
96	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
97	C₄×#41×C₆₁	C₂²	1	6	yes	complemented
98	C₄×#41×C₆₁	C₂²	1	4	yes	complemented
99	C₄×#41×C₆₁	C₂²	1	3	yes	complemented
100	C₄×#41×C₆₁	C₂²	1	6	yes	complemented
101	C₄×#41×C₆₁	C₂²	1	6	yes	complemented
102	C₂×C₄×Q₈×C₆₁	C₂²	1	3	yes	complemented
103	C₂×C₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
104	C₂×C₄×Q₈×C₆₁	C₂²	1	3	yes	complemented
105	C₂×C₄×D₄×C₆₁	C₂²	1	6	yes	complemented
106	C₂×C₄×D₄×C₆₁	C₂²	1	12	yes	complemented
107	C₂×C₄×D₄×C₆₁	C₂²	1	6	yes	complemented
108	2₋¹⁺⁴×C₆₁	—	2	8	no	—
109	H(5,𝔽₂)×C₆₁	—	2	16	no	—
110	C₂×#41×C₆₁	C₂³	1	6	yes	—
111	C₂×#41×C₆₁	C₂³	1	3	yes	—
112	C₂×#41×C₆₁	C₂³	1	6	yes	—
113	C₂×#41×C₆₁	C₂³	1	4	yes	—
114	C₂×#41×C₆₁	C₂³	1	6	yes	—
115	C₂×#41×C₆₁	C₂³	1	12	yes	—
116	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
117	C₂²×Q₈×C₆₁	C₂³	1	3	yes	—
118	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
119	C₂²×Q₈×C₆₁	C₂³	1	3	yes	—
120	C₂²×D₄×C₆₁	C₂³	1	6	yes	—
121	C₂²×D₄×C₆₁	C₂³	1	12	yes	—
122	C₂²×D₄×C₆₁	C₂³	1	6	yes	—
123	C₂²×D₄×C₆₁	C₂³	1	6	yes	—
124	C₂³×C₄×C₆₁	C₂³	1	12	yes	—
125	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
126	C₄⋊Q₈×C₆₁	C₂³	1	3	yes	—
127	C₄⋊Q₈×C₆₁	C₂³	1	3	yes	—
128	C₄⋊Q₈×C₆₁	C₂³	1	6	yes	—
129	C₄⋊Q₈×C₆₁	C₂³	1	6	yes	—
130	C₄⋊Q₈×C₆₁	C₂³	1	6	yes	—
131	#127×C₆₁	C₂³	1	3	yes	—
132	#127×C₆₁	C₂³	1	6	yes	—
133	#127×C₆₁	C₂³	1	6	yes	—
134	#127×C₆₁	C₂³	1	6	yes	—
135	#127×C₆₁	C₂³	1	6	yes	—
136	#126×C₆₁	C₂³	1	24	yes	—
137	#126×C₆₁	C₂³	1	24	yes	—
138	#126×C₆₁	C₂³	1	12	yes	—
139	#126×C₆₁	C₂³	1	12	yes	—
140	#126×C₆₁	C₂³	1	4	yes	—
141	#125×C₆₁	C₂³	1	6	yes	—
142	#125×C₆₁	C₂³	1	6	yes	—
143	#125×C₆₁	C₂³	1	6	yes	—
144	#125×C₆₁	C₂³	1	12	yes	—
145	#125×C₆₁	C₂³	1	6	yes	—
146	#124×C₆₁	C₂³	1	6	yes	—
147	#124×C₆₁	C₂³	1	2	yes	—
148	#124×C₆₁	C₂³	1	12	yes	—
149	#124×C₆₁	C₂³	1	12	yes	—
150	#124×C₆₁	C₂³	1	6	yes	—
151	#124×C₆₁	C₂³	1	12	yes	—
152	#124×C₆₁	C₂³	1	12	yes	—
153	#124×C₆₁	C₂³	1	24	yes	—
154	#124×C₆₁	C₂³	1	12	yes	—
155	#124×C₆₁	C₂³	1	12	yes	—
156	#124×C₆₁	C₂³	1	6	yes	—
157	#123×C₆₁	C₂³	1	24	yes	—
158	#123×C₆₁	C₂³	1	12	yes	—
159	#123×C₆₁	C₂³	1	24	yes	—
160	#123×C₆₁	C₂³	1	24	yes	—
161	#123×C₆₁	C₂³	1	24	yes	—
162	#123×C₆₁	C₂³	1	24	yes	—
163	#123×C₆₁	C₂³	1	12	yes	—
164	#123×C₆₁	C₂³	1	12	yes	—
165	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
166	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
167	C₂²⋊Q₈×C₆₁	C₂³	1	6	yes	—
168	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
169	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
170	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
171	C₂²⋊Q₈×C₆₁	C₂³	1	24	yes	—
172	C₂²⋊Q₈×C₆₁	C₂³	1	12	yes	—
173	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
174	#121×C₆₁	C₂³	1	6	yes	—
175	#121×C₆₁	C₂³	1	6	yes	—
176	#121×C₆₁	C₂³	1	6	yes	—
177	#121×C₆₁	C₂³	1	12	yes	—
178	#121×C₆₁	C₂³	1	12	yes	—
179	#121×C₆₁	C₂³	1	12	yes	—
180	#121×C₆₁	C₂³	1	12	yes	—
181	#121×C₆₁	C₂³	1	12	yes	—
182	#121×C₆₁	C₂³	1	12	yes	—
183	#121×C₆₁	C₂³	1	12	yes	—
184	#121×C₆₁	C₂³	1	24	yes	—
185	#121×C₆₁	C₂³	1	12	yes	—
186	#120×C₆₁	C₂³	1	24	yes	—
187	#120×C₆₁	C₂³	1	24	yes	—
188	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
189	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
190	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
191	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
192	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
193	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
194	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
195	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
196	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
197	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
198	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
199	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
200	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
201	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
202	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
203	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
204	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
205	C₄×Q₈×C₆₁	C₂³	1	6	yes	—
206	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
207	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
208	C₄×Q₈×C₆₁	C₂³	1	3	yes	—
209	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
210	C₄×D₄×C₆₁	C₂³	1	6	yes	—
211	C₄×D₄×C₆₁	C₂³	1	6	yes	—
212	C₄×D₄×C₆₁	C₂³	1	12	yes	—
213	C₄×D₄×C₆₁	C₂³	1	12	yes	—
214	C₄×D₄×C₆₁	C₂³	1	12	yes	—
215	C₄×D₄×C₆₁	C₂³	1	12	yes	—
216	C₄×D₄×C₆₁	C₂³	1	12	yes	—
217	C₄×D₄×C₆₁	C₂³	1	12	yes	—
218	C₄×D₄×C₆₁	C₂³	1	12	yes	—
219	C₄×D₄×C₆₁	C₂³	1	24	yes	—
220	C₄×D₄×C₆₁	C₂³	1	3	yes	—
221	C₄×D₄×C₆₁	C₂³	1	3	yes	—
222	C₄×D₄×C₆₁	C₂³	1	6	yes	—
223	C₄×D₄×C₆₁	C₂³	1	6	yes	—
224	C₄×D₄×C₆₁	C₂³	1	6	yes	—
225	C₄×D₄×C₆₁	C₂³	1	6	yes	—
226	C₄×D₄×C₆₁	C₂³	1	12	yes	—
227	C₄×D₄×C₆₁	C₂³	1	12	yes	—
228	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₆₁	C₂³	1	3	yes	—
230	C₄×D₄×C₆₁	C₂³	1	12	yes	—
231	C₄×D₄×C₆₁	C₂³	1	6	yes	—
232	C₄×D₄×C₆₁	C₂³	1	12	yes	—
233	C₄×D₄×C₆₁	C₂³	1	24	yes	—
234	C₄×D₄×C₆₁	C₂³	1	12	yes	—
235	C₄×D₄×C₆₁	C₂³	1	12	yes	—
236	C₄×D₄×C₆₁	C₂³	1	6	yes	—
237	C₄×D₄×C₆₁	C₂³	1	6	yes	—
238	C₄×D₄×C₆₁	C₂³	1	6	yes	—
239	#117×C₆₁	C₂³	1	3	yes	—
240	#117×C₆₁	C₂³	1	6	yes	—
241	#117×C₆₁	C₂³	1	6	yes	—
242	#117×C₆₁	C₂³	1	12	yes	—
243	#117×C₆₁	C₂³	1	12	yes	—
244	#117×C₆₁	C₂³	1	12	yes	—
245	#117×C₆₁	C₂³	1	24	yes	—
246	#117×C₆₁	C₂³	1	12	yes	—
247	#117×C₆₁	C₂³	1	2	yes	—
248	#117×C₆₁	C₂³	1	6	yes	—
249	#117×C₆₁	C₂³	1	3	yes	—
250	C₂×C₄⋊C₄×C₆₁	C₂³	1	6	yes	—
251	C₂×C₄⋊C₄×C₆₁	C₂³	1	6	yes	—
252	C₂×C₄⋊C₄×C₆₁	C₂³	1	12	yes	—
253	C₂×C₄⋊C₄×C₆₁	C₂³	1	3	yes	—
254	C₂×C₄⋊C₄×C₆₁	C₂³	1	6	yes	—
255	C₂×C₄⋊C₄×C₆₁	C₂³	1	3	yes	—
256	C₂×C₂²⋊C₄×C₆₁	C₂³	1	12	yes	—
257	C₂×C₂²⋊C₄×C₆₁	C₂³	1	24	yes	—
258	C₂×C₂²⋊C₄×C₆₁	C₂³	1	12	yes	—
259	C₂×C₂²⋊C₄×C₆₁	C₂³	1	12	yes	—
260	C₂×C₄²×C₆₁	C₂³	1	3	yes	—
261	C₂×C₄²×C₆₁	C₂³	1	6	yes	—
262	C₂×C₄²×C₆₁	C₂³	1	6	yes	—
263	C₂×C₄²×C₆₁	C₂³	1	6	yes	—
264	C₂×C₄²×C₆₁	C₂³	1	12	yes	—
265	C₂⁴×C₆₁	C₂⁴	1	12	yes	—
266	#41×C₆₁	—	2	16	no	—
267	#41×C₆₁	—	2	24	no	—
268	#41×C₆₁	—	2	24	no	—
269	#41×C₆₁	—	2	12	no	—
270	#41×C₆₁	—	4	12	no	—
271	#41×C₆₁	—	8	12	no	—
272	#41×C₆₁	#41	1	8	yes	complemented
273	C₂×Q₈×C₆₁	—	2	8	no	—
274	C₂×Q₈×C₆₁	—	2	12	no	—
275	C₂×Q₈×C₆₁	—	4	6	no	—
276	C₂×Q₈×C₆₁	C₂⁴	1	6	yes	—
277	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
278	C₂×Q₈×C₆₁	C₂⁴	1	3	yes	—
279	C₂×Q₈×C₆₁	C₂⁴	1	3	yes	—
280	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
281	C₂×Q₈×C₆₁	C₂⁴	1	6	yes	—
282	C₂×Q₈×C₆₁	C₂⁴	1	6	yes	—
283	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
284	C₂×D₄×C₆₁	—	2	48	no	—
285	C₂×D₄×C₆₁	—	2	24	no	—
286	C₂×D₄×C₆₁	—	4	12	no	—
287	C₂×D₄×C₆₁	—	8	6	no	—
288	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
289	C₂×D₄×C₆₁	C₂⁴	1	12	yes	—
290	C₂×D₄×C₆₁	C₂⁴	1	12	yes	—
291	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
292	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
293	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
294	C₂×D₄×C₆₁	C₂⁴	1	12	yes	—
295	C₂×D₄×C₆₁	C₂⁴	1	12	yes	—
296	C₂×D₄×C₆₁	C₂⁴	1	12	yes	—
297	C₂×D₄×C₆₁	C₂⁴	1	12	yes	—
298	C₂×D₄×C₆₁	C₂⁴	1	6	yes	—
299	C₂×D₄×C₆₁	C₂⁴	1	3	yes	—
300	C₂²×C₄×C₆₁	—	8	12	no	—
301	C₂²×C₄×C₆₁	C₂⁴	1	3	yes	—
302	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
304	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
305	C₂²×C₄×C₆₁	C₂⁴	1	12	yes	—
306	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
307	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
308	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
309	C₂²×C₄×C₆₁	C₂⁴	1	12	yes	—
310	C₂²×C₄×C₆₁	C₂⁴	1	3	yes	—
311	C₂²×C₄×C₆₁	C₂⁴	1	6	yes	—
312	C₂²×C₄×C₆₁	C₂⁴	1	12	yes	—
313	C₂²×C₄×C₆₁	C₂⁴	1	24	yes	—
314	C₂²×C₄×C₆₁	C₂⁴	1	3	yes	—
315	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
316	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
317	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
318	C₄⋊C₄×C₆₁	C₂⁴	1	3	yes	—
319	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
320	C₄⋊C₄×C₆₁	C₂⁴	1	12	yes	—
321	C₄⋊C₄×C₆₁	C₂⁴	1	3	yes	—
322	C₄⋊C₄×C₆₁	C₂⁴	1	12	yes	—
323	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
324	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
325	C₄⋊C₄×C₆₁	C₂⁴	1	3	yes	—
326	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
327	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
328	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
329	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
330	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
331	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
332	C₄⋊C₄×C₆₁	C₂⁴	1	3	yes	—
333	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
334	C₄⋊C₄×C₆₁	C₂⁴	1	12	yes	—
335	C₄⋊C₄×C₆₁	C₂⁴	1	12	yes	—
336	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
337	C₄⋊C₄×C₆₁	C₂⁴	1	12	yes	—
338	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
339	C₄⋊C₄×C₆₁	C₂⁴	1	6	yes	—
340	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
341	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
342	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
343	C₂²⋊C₄×C₆₁	C₂⁴	1	24	yes	—
344	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
345	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
346	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
347	C₂²⋊C₄×C₆₁	C₂⁴	1	24	yes	—
348	C₂²⋊C₄×C₆₁	C₂⁴	1	24	yes	—
349	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
350	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
351	C₂²⋊C₄×C₆₁	C₂⁴	1	6	yes	—
352	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
353	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
354	C₂²⋊C₄×C₆₁	C₂⁴	1	12	yes	—
355	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
356	C₄²×C₆₁	C₂⁴	1	6	yes	—
357	C₄²×C₆₁	C₂⁴	1	4	yes	—
358	C₄²×C₆₁	C₂⁴	1	6	yes	—
359	C₄²×C₆₁	C₂⁴	1	6	yes	—
360	C₄²×C₆₁	C₂⁴	1	2	yes	—
361	C₄²×C₆₁	C₂⁴	1	3	yes	—
362	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
363	C₄²×C₆₁	C₂⁴	1	12	yes	—
364	C₄²×C₆₁	C₂⁴	1	6	yes	—
365	C₄²×C₆₁	C₂⁴	1	12	yes	—
366	C₄²×C₆₁	C₂⁴	1	6	yes	—
367	C₄²×C₆₁	C₂⁴	1	6	yes	—
368	C₄²×C₆₁	C₂⁴	1	3	yes	—
369	C₄²×C₆₁	C₂⁴	1	3	yes	—
370	C₂³×C₆₁	—	2	24	no	—
371	C₂³×C₆₁	—	4	12	no	—
372	C₂³×C₆₁	—	4	12	no	—
373	C₂³×C₆₁	C₂⁵	1	12	yes	—
374	C₂³×C₆₁	C₂⁵	1	2	yes	—
375	C₂³×C₆₁	C₂⁵	1	3	yes	—
376	Q₈×C₆₁	—	2	12	no	—
377	Q₈×C₆₁	—	2	6	no	—
378	Q₈×C₆₁	—	2	4	no	—
379	Q₈×C₆₁	—	2	2	no	—
380	Q₈×C₆₁	—	2	6	no	—
381	Q₈×C₆₁	—	4	6	no	—
382	Q₈×C₆₁	—	4	6	no	—
383	Q₈×C₆₁	C₂×#41	1	4	yes	—
384	D₄×C₆₁	—	2	24	no	—
385	D₄×C₆₁	—	2	12	no	—
386	D₄×C₆₁	—	2	24	no	—
387	D₄×C₆₁	—	2	12	no	—
388	D₄×C₆₁	—	2	2	no	—
389	D₄×C₆₁	—	2	12	no	—
390	D₄×C₆₁	—	4	12	no	—
391	D₄×C₆₁	—	4	6	no	—
392	D₄×C₆₁	—	4	12	no	—
393	D₄×C₆₁	—	4	12	no	—
394	D₄×C₆₁	—	4	12	no	—
395	D₄×C₆₁	C₂×#41	1	12	yes	—
396	C₂×C₄×C₆₁	—	2	12	no	—
397	C₂×C₄×C₆₁	—	2	24	no	—
398	C₂×C₄×C₆₁	—	2	12	no	—
399	C₂×C₄×C₆₁	—	2	6	no	—
400	C₂×C₄×C₆₁	—	2	4	no	—
401	C₂×C₄×C₆₁	—	4	6	no	—
402	C₂×C₄×C₆₁	—	4	12	no	—
403	C₂×C₄×C₆₁	—	4	6	no	—
404	C₂×C₄×C₆₁	—	4	24	no	—
405	C₂×C₄×C₆₁	—	4	3	no	—
406	C₂×C₄×C₆₁	—	4	6	no	—
407	C₂×C₄×C₆₁	—	4	12	no	—
408	C₂×C₄×C₆₁	—	4	6	no	—
409	C₂×C₄×C₆₁	C₂×#41	1	12	yes	—
410	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
411	C₂×C₄×C₆₁	C₂⁵	1	3	yes	—
412	C₂×C₄×C₆₁	C₂⁵	1	6	yes	—
413	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
414	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
415	C₂×C₄×C₆₁	C₂⁵	1	6	yes	—
416	C₂×C₄×C₆₁	C₂⁵	1	6	yes	—
417	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
418	C₂×C₄×C₆₁	C₂⁵	1	3	yes	—
419	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
420	C₂×C₄×C₆₁	C₂⁵	1	6	yes	—
421	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
422	C₂×C₄×C₆₁	C₂⁵	1	3	yes	—
423	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
424	#63010	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
425	C₂²×C₆₁	—	2	3	no	—
426	C₂²×C₆₁	—	2	3	no	—
427	C₂²×C₆₁	—	2	2	no	—
428	C₂²×C₆₁	—	2	12	no	—
429	C₂²×C₆₁	—	2	2	no	—
430	C₂²×C₆₁	—	2	12	no	—
431	C₂²×C₆₁	—	2	2	no	—
432	C₂²×C₆₁	—	2	12	no	—
433	C₂²×C₆₁	—	8	24	no	—
434	C₂²×C₆₁	C₂²×#41	1	6	yes	—
435	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
436	C₄×C₆₁	—	2	4	no	—
437	C₄×C₆₁	—	2	6	no	—
438	C₄×C₆₁	—	2	2	no	—
439	C₄×C₆₁	—	2	3	no	—
440	C₄×C₆₁	—	2	6	no	—
441	C₄×C₆₁	—	2	2	no	—
442	C₄×C₆₁	—	2	2	no	—
443	C₄×C₆₁	—	2	6	no	—
444	C₄×C₆₁	—	2	6	no	—
445	C₄×C₆₁	—	2	1	no	—
446	C₄×C₆₁	—	2	3	no	—
447	C₄×C₆₁	C₂²×#41	1	6	yes	—
448	C₄×C₆₁	C₂²×#41	1	2	yes	—
449	C₄×C₆₁	#585	1	2	yes	—
450	#3524	C₂×C₆₁	1	4	yes	complemented
451	#3522	C₂×C₆₁	1	2	yes	complemented
452	#3514	C₂×C₆₁	1	6	yes	complemented
453	#3513	C₂×C₆₁	1	12	yes	complemented
454	#3510	C₂×C₆₁	1	6	yes	complemented
455	#3508	C₂×C₆₁	1	3	yes	complemented
456	#3507	C₂×C₆₁	1	3	yes	complemented
457	#3506	C₂×C₆₁	1	6	yes	complemented
458	#3500	C₂×C₆₁	1	2	yes	complemented
459	#3498	C₂×C₆₁	1	1	yes	characteristic, complemented
460	#3481	C₂×C₆₁	1	6	yes	complemented
461	#3480	C₂×C₆₁	1	3	yes	complemented
462	#3480	C₂×C₆₁	1	2	yes	complemented
463	C₂×#559	C₂×C₆₁	1	3	yes	complemented
464	Q₈×#41	C₂×C₆₁	1	1	yes	characteristic, complemented
465	C₄×2₋¹⁺⁴	C₂×C₆₁	1	1	yes	characteristic, complemented
466	C₄×H(5,𝔽₂)	C₂×C₆₁	1	2	yes	complemented
467	C₂×C₆₁	—	2	6	no	—
468	C₂×C₆₁	—	4	2	no	—
469	C₂×C₆₁	—	4	12	no	—
470	C₂×C₆₁	C₂³×#41	1	1	yes	characteristic
471	C₂×C₆₁	C₂×#585	1	1	yes	characteristic
472	C₂×C₆₁	H(7,𝔽₂)	1	1	yes	characteristic
473	C₂×2₋¹⁺⁴	C₂²×C₆₁	1	1	yes	characteristic
474	C₂×H(5,𝔽₂)	C₂²×C₆₁	1	2	yes	—
475	#559	C₂²×C₆₁	1	3	yes	complemented
476	#559	C₂²×C₆₁	1	6	yes	complemented
477	#559	C₂²×C₆₁	1	12	yes	complemented
478	#559	C₂²×C₆₁	1	6	yes	complemented
479	#559	C₂²×C₆₁	1	12	yes	complemented
480	#559	C₂²×C₆₁	1	6	yes	complemented
481	#559	C₂²×C₆₁	1	6	yes	complemented
482	#559	C₂²×C₆₁	1	6	yes	complemented
483	Q₈²	C₂²×C₆₁	1	1	yes	characteristic, complemented
484	#557	C₂²×C₆₁	1	1	yes	characteristic, complemented
485	#557	C₂²×C₆₁	1	2	yes	complemented
486	#557	C₂²×C₆₁	1	3	yes	complemented
487	#556	C₂²×C₆₁	1	1	yes	characteristic, complemented
488	#556	C₂²×C₆₁	1	6	yes	complemented
489	#556	C₂²×C₆₁	1	6	yes	complemented
490	#556	C₂²×C₆₁	1	12	yes	complemented
491	#555	C₂²×C₆₁	1	12	yes	complemented
492	#554	C₂²×C₆₁	1	3	yes	complemented
493	#554	C₂²×C₆₁	1	6	yes	complemented
494	#554	C₂²×C₆₁	1	6	yes	complemented
495	#553	C₂²×C₆₁	1	6	yes	complemented
496	#553	C₂²×C₆₁	1	12	yes	complemented
497	#553	C₂²×C₆₁	1	12	yes	complemented
498	#553	C₂²×C₆₁	1	12	yes	complemented
499	#552	C₂²×C₆₁	1	12	yes	complemented
500	#551	C₂²×C₆₁	1	24	yes	complemented
501	#551	C₂²×C₆₁	1	24	yes	complemented
502	#550	C₂²×C₆₁	1	2	yes	—
503	#550	C₂²×C₆₁	1	2	yes	—
504	#550	C₂²×C₆₁	1	3	yes	complemented
505	#550	C₂²×C₆₁	1	6	yes	complemented
506	D₄×Q₈	C₂²×C₆₁	1	3	yes	complemented
507	#548	C₂²×C₆₁	1	4	yes	complemented
508	#548	C₂²×C₆₁	1	6	yes	complemented
509	#548	C₂²×C₆₁	1	4	yes	complemented
510	#547	C₂²×C₆₁	1	12	yes	complemented
511	#546	C₂²×C₆₁	1	12	yes	complemented
512	#546	C₂²×C₆₁	1	12	yes	complemented
513	#546	C₂²×C₆₁	1	12	yes	complemented
514	#546	C₂²×C₆₁	1	12	yes	complemented
515	D₄²	C₂²×C₆₁	1	6	yes	—
516	D₄²	C₂²×C₆₁	1	6	yes	—
517	#542	C₂²×C₆₁	1	12	yes	complemented
518	#542	C₂²×C₆₁	1	12	yes	complemented
519	#540	C₂²×C₆₁	1	12	yes	complemented
520	#539	C₂²×C₆₁	1	12	yes	complemented
521	#538	C₂²×C₆₁	1	24	yes	complemented
522	#536	C₂²×C₆₁	1	6	yes	complemented
523	#535	C₂²×C₆₁	1	6	yes	—
524	#535	C₂²×C₆₁	1	6	yes	complemented
525	#533	C₂²×C₆₁	1	6	yes	complemented
526	#533	C₂²×C₆₁	1	3	yes	complemented
527	#532	C₂²×C₆₁	1	3	yes	—
528	#532	C₂²×C₆₁	1	6	yes	complemented
529	#532	C₂²×C₆₁	1	6	yes	complemented
530	#532	C₂²×C₆₁	1	6	yes	complemented
531	C₂×#127	C₂²×C₆₁	1	3	yes	—
532	#529	C₂²×C₆₁	1	12	yes	complemented
533	#529	C₂²×C₆₁	1	12	yes	complemented
534	#529	C₂²×C₆₁	1	6	yes	complemented
535	#529	C₂²×C₆₁	1	12	yes	complemented
536	#529	C₂²×C₆₁	1	12	yes	complemented
537	C₂×#124	C₂²×C₆₁	1	6	yes	complemented
538	C₂×#124	C₂²×C₆₁	1	6	yes	complemented
539	#525	C₂²×C₆₁	1	24	yes	complemented
540	C₂×#123	C₂²×C₆₁	1	12	yes	complemented
541	#520	C₂²×C₆₁	1	1	yes	characteristic
542	#520	C₂²×C₆₁	1	6	yes	complemented
543	#520	C₂²×C₆₁	1	4	yes	complemented
544	#520	C₂²×C₆₁	1	3	yes	complemented
545	#520	C₂²×C₆₁	1	6	yes	complemented
546	#519	C₂²×C₆₁	1	3	yes	complemented
547	#519	C₂²×C₆₁	1	2	yes	complemented
548	#518	C₂²×C₆₁	1	6	yes	complemented
549	#518	C₂²×C₆₁	1	12	yes	complemented
550	C₄×#41	C₂²×C₆₁	1	2	yes	—
551	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
552	C₄×#41	C₂²×C₆₁	1	6	yes	complemented
553	C₄×#41	C₂²×C₆₁	1	4	yes	complemented
554	C₄×#41	C₂²×C₆₁	1	3	yes	complemented
555	C₄×#41	C₂²×C₆₁	1	6	yes	complemented
556	C₄×#41	C₂²×C₆₁	1	6	yes	complemented
557	C₂×C₄×Q₈	C₂²×C₆₁	1	3	yes	complemented
558	C₂×C₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
559	C₂×C₄×Q₈	C₂²×C₆₁	1	3	yes	complemented
560	C₂×C₄×D₄	C₂²×C₆₁	1	6	yes	complemented
561	C₂×C₄×D₄	C₂²×C₆₁	1	12	yes	complemented
562	C₂×C₄×D₄	C₂²×C₆₁	1	6	yes	complemented
563	C₆₁	#63010	1	1	yes	characteristic, direct product factor, Sylow
564	2₋¹⁺⁴	—	2	8	no	—
565	H(5,𝔽₂)	—	2	16	no	—
566	C₂×#41	C₂³×C₆₁	1	6	yes	—
567	C₂×#41	C₂³×C₆₁	1	3	yes	—
568	C₂×#41	C₂³×C₆₁	1	6	yes	—
569	C₂×#41	C₂³×C₆₁	1	4	yes	—
570	C₂×#41	C₂³×C₆₁	1	6	yes	—
571	C₂×#41	C₂³×C₆₁	1	12	yes	—
572	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
573	C₂²×Q₈	C₂³×C₆₁	1	3	yes	—
574	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
575	C₂²×Q₈	C₂³×C₆₁	1	3	yes	—
576	C₂²×D₄	C₂³×C₆₁	1	6	yes	—
577	C₂²×D₄	C₂³×C₆₁	1	12	yes	—
578	C₂²×D₄	C₂³×C₆₁	1	6	yes	—
579	C₂²×D₄	C₂³×C₆₁	1	6	yes	—
580	C₂³×C₄	C₂³×C₆₁	1	12	yes	—
581	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
582	C₄⋊Q₈	C₂³×C₆₁	1	3	yes	—
583	C₄⋊Q₈	C₂³×C₆₁	1	3	yes	—
584	C₄⋊Q₈	C₂³×C₆₁	1	6	yes	—
585	C₄⋊Q₈	C₂³×C₆₁	1	6	yes	—
586	C₄⋊Q₈	C₂³×C₆₁	1	6	yes	—
587	#127	C₂³×C₆₁	1	3	yes	—
588	#127	C₂³×C₆₁	1	6	yes	—
589	#127	C₂³×C₆₁	1	6	yes	—
590	#127	C₂³×C₆₁	1	6	yes	—
591	#127	C₂³×C₆₁	1	6	yes	—
592	#126	C₂³×C₆₁	1	12	yes	—
593	#126	C₂³×C₆₁	1	4	yes	—
594	#126	C₂³×C₆₁	1	24	yes	—
595	#126	C₂³×C₆₁	1	24	yes	—
596	#126	C₂³×C₆₁	1	12	yes	—
597	#125	C₂³×C₆₁	1	6	yes	—
598	#125	C₂³×C₆₁	1	6	yes	—
599	#125	C₂³×C₆₁	1	6	yes	—
600	#125	C₂³×C₆₁	1	12	yes	—
601	#125	C₂³×C₆₁	1	6	yes	—
602	#124	C₂³×C₆₁	1	6	yes	—
603	#124	C₂³×C₆₁	1	6	yes	—
604	#124	C₂³×C₆₁	1	12	yes	—
605	#124	C₂³×C₆₁	1	12	yes	—
606	#124	C₂³×C₆₁	1	12	yes	—
607	#124	C₂³×C₆₁	1	24	yes	—
608	#124	C₂³×C₆₁	1	12	yes	—
609	#124	C₂³×C₆₁	1	12	yes	—
610	#124	C₂³×C₆₁	1	6	yes	—
611	#124	C₂³×C₆₁	1	2	yes	—
612	#124	C₂³×C₆₁	1	12	yes	—
613	#123	C₂³×C₆₁	1	12	yes	—
614	#123	C₂³×C₆₁	1	24	yes	—
615	#123	C₂³×C₆₁	1	24	yes	—
616	#123	C₂³×C₆₁	1	24	yes	—
617	#123	C₂³×C₆₁	1	12	yes	—
618	#123	C₂³×C₆₁	1	24	yes	—
619	#123	C₂³×C₆₁	1	12	yes	—
620	#123	C₂³×C₆₁	1	24	yes	—
621	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
622	C₂²⋊Q₈	C₂³×C₆₁	1	24	yes	—
623	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
624	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
625	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
626	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
627	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
628	C₂²⋊Q₈	C₂³×C₆₁	1	12	yes	—
629	C₂²⋊Q₈	C₂³×C₆₁	1	6	yes	—
630	#121	C₂³×C₆₁	1	12	yes	—
631	#121	C₂³×C₆₁	1	24	yes	—
632	#121	C₂³×C₆₁	1	6	yes	—
633	#121	C₂³×C₆₁	1	6	yes	—
634	#121	C₂³×C₆₁	1	12	yes	—
635	#121	C₂³×C₆₁	1	12	yes	—
636	#121	C₂³×C₆₁	1	12	yes	—
637	#121	C₂³×C₆₁	1	6	yes	—
638	#121	C₂³×C₆₁	1	12	yes	—
639	#121	C₂³×C₆₁	1	12	yes	—
640	#121	C₂³×C₆₁	1	12	yes	—
641	#121	C₂³×C₆₁	1	12	yes	—
642	#120	C₂³×C₆₁	1	24	yes	—
643	#120	C₂³×C₆₁	1	24	yes	—
644	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
645	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
646	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
647	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
648	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
649	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
650	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
651	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
652	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
653	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
654	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
655	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
656	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
657	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
658	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
659	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
660	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
661	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
662	C₄×Q₈	C₂³×C₆₁	1	3	yes	—
663	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
664	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
665	C₄×Q₈	C₂³×C₆₁	1	6	yes	—
666	C₄×D₄	C₂³×C₆₁	1	6	yes	—
667	C₄×D₄	C₂³×C₆₁	1	6	yes	—
668	C₄×D₄	C₂³×C₆₁	1	12	yes	—
669	C₄×D₄	C₂³×C₆₁	1	12	yes	—
670	C₄×D₄	C₂³×C₆₁	1	6	yes	—
671	C₄×D₄	C₂³×C₆₁	1	6	yes	—
672	C₄×D₄	C₂³×C₆₁	1	24	yes	—
673	C₄×D₄	C₂³×C₆₁	1	12	yes	—
674	C₄×D₄	C₂³×C₆₁	1	12	yes	—
675	C₄×D₄	C₂³×C₆₁	1	12	yes	—
676	C₄×D₄	C₂³×C₆₁	1	24	yes	—
677	C₄×D₄	C₂³×C₆₁	1	12	yes	—
678	C₄×D₄	C₂³×C₆₁	1	3	yes	—
679	C₄×D₄	C₂³×C₆₁	1	6	yes	—
680	C₄×D₄	C₂³×C₆₁	1	3	yes	—
681	C₄×D₄	C₂³×C₆₁	1	6	yes	—
682	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
683	C₄×D₄	C₂³×C₆₁	1	12	yes	—
684	C₄×D₄	C₂³×C₆₁	1	12	yes	—
685	C₄×D₄	C₂³×C₆₁	1	6	yes	—
686	C₄×D₄	C₂³×C₆₁	1	12	yes	—
687	C₄×D₄	C₂³×C₆₁	1	6	yes	—
688	C₄×D₄	C₂³×C₆₁	1	3	yes	—
689	C₄×D₄	C₂³×C₆₁	1	12	yes	—
690	C₄×D₄	C₂³×C₆₁	1	6	yes	—
691	C₄×D₄	C₂³×C₆₁	1	12	yes	—
692	C₄×D₄	C₂³×C₆₁	1	6	yes	—
693	C₄×D₄	C₂³×C₆₁	1	12	yes	—
694	C₄×D₄	C₂³×C₆₁	1	12	yes	—
695	#117	C₂³×C₆₁	1	6	yes	—
696	#117	C₂³×C₆₁	1	3	yes	—
697	#117	C₂³×C₆₁	1	3	yes	—
698	#117	C₂³×C₆₁	1	2	yes	—
699	#117	C₂³×C₆₁	1	12	yes	—
700	#117	C₂³×C₆₁	1	12	yes	—
701	#117	C₂³×C₆₁	1	6	yes	—
702	#117	C₂³×C₆₁	1	12	yes	—
703	#117	C₂³×C₆₁	1	6	yes	—
704	#117	C₂³×C₆₁	1	12	yes	—
705	#117	C₂³×C₆₁	1	24	yes	—
706	C₂×C₄⋊C₄	C₂³×C₆₁	1	3	yes	—
707	C₂×C₄⋊C₄	C₂³×C₆₁	1	3	yes	—
708	C₂×C₄⋊C₄	C₂³×C₆₁	1	12	yes	—
709	C₂×C₄⋊C₄	C₂³×C₆₁	1	6	yes	—
710	C₂×C₄⋊C₄	C₂³×C₆₁	1	6	yes	—
711	C₂×C₄⋊C₄	C₂³×C₆₁	1	6	yes	—
712	C₂×C₂²⋊C₄	C₂³×C₆₁	1	12	yes	—
713	C₂×C₂²⋊C₄	C₂³×C₆₁	1	24	yes	—
714	C₂×C₂²⋊C₄	C₂³×C₆₁	1	12	yes	—
715	C₂×C₂²⋊C₄	C₂³×C₆₁	1	12	yes	—
716	C₂×C₄²	C₂³×C₆₁	1	6	yes	—
717	C₂×C₄²	C₂³×C₆₁	1	6	yes	—
718	C₂×C₄²	C₂³×C₆₁	1	12	yes	—
719	C₂×C₄²	C₂³×C₆₁	1	3	yes	—
720	C₂×C₄²	C₂³×C₆₁	1	6	yes	—
721	C₂⁴	C₂⁴×C₆₁	1	12	yes	—
722	#41	—	2	16	no	—
723	#41	—	2	24	no	—
724	#41	—	2	24	no	—
725	#41	—	2	12	no	—
726	#41	—	4	12	no	—
727	#41	—	8	12	no	—
728	#41	#41×C₆₁	1	8	yes	complemented
729	C₂×Q₈	—	2	8	no	—
730	C₂×Q₈	—	2	12	no	—
731	C₂×Q₈	—	4	6	no	—
732	C₂×Q₈	C₂⁴×C₆₁	1	6	yes	—
733	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
734	C₂×Q₈	C₂⁴×C₆₁	1	3	yes	—
735	C₂×Q₈	C₂⁴×C₆₁	1	3	yes	—
736	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
737	C₂×Q₈	C₂⁴×C₆₁	1	6	yes	—
738	C₂×Q₈	C₂⁴×C₆₁	1	6	yes	—
739	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
740	C₂×D₄	—	2	48	no	—
741	C₂×D₄	—	2	24	no	—
742	C₂×D₄	—	4	12	no	—
743	C₂×D₄	—	8	6	no	—
744	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
745	C₂×D₄	C₂⁴×C₆₁	1	12	yes	—
746	C₂×D₄	C₂⁴×C₆₁	1	12	yes	—
747	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
748	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
749	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
750	C₂×D₄	C₂⁴×C₆₁	1	12	yes	—
751	C₂×D₄	C₂⁴×C₆₁	1	12	yes	—
752	C₂×D₄	C₂⁴×C₆₁	1	12	yes	—
753	C₂×D₄	C₂⁴×C₆₁	1	12	yes	—
754	C₂×D₄	C₂⁴×C₆₁	1	6	yes	—
755	C₂×D₄	C₂⁴×C₆₁	1	3	yes	—
756	C₂²×C₄	—	8	12	no	—
757	C₂²×C₄	C₂⁴×C₆₁	1	3	yes	—
758	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
759	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
760	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
761	C₂²×C₄	C₂⁴×C₆₁	1	12	yes	—
762	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
763	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
764	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
765	C₂²×C₄	C₂⁴×C₆₁	1	12	yes	—
766	C₂²×C₄	C₂⁴×C₆₁	1	3	yes	—
767	C₂²×C₄	C₂⁴×C₆₁	1	6	yes	—
768	C₂²×C₄	C₂⁴×C₆₁	1	12	yes	—
769	C₂²×C₄	C₂⁴×C₆₁	1	24	yes	—
770	C₂²×C₄	C₂⁴×C₆₁	1	3	yes	—
771	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
772	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
773	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
774	C₄⋊C₄	C₂⁴×C₆₁	1	3	yes	—
775	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
776	C₄⋊C₄	C₂⁴×C₆₁	1	12	yes	—
777	C₄⋊C₄	C₂⁴×C₆₁	1	3	yes	—
778	C₄⋊C₄	C₂⁴×C₆₁	1	12	yes	—
779	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
780	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
781	C₄⋊C₄	C₂⁴×C₆₁	1	3	yes	—
782	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
783	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
784	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
785	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
786	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
787	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
788	C₄⋊C₄	C₂⁴×C₆₁	1	3	yes	—
789	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
790	C₄⋊C₄	C₂⁴×C₆₁	1	12	yes	—
791	C₄⋊C₄	C₂⁴×C₆₁	1	12	yes	—
792	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
793	C₄⋊C₄	C₂⁴×C₆₁	1	12	yes	—
794	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
795	C₄⋊C₄	C₂⁴×C₆₁	1	6	yes	—
796	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
797	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
798	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
799	C₂²⋊C₄	C₂⁴×C₆₁	1	24	yes	—
800	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
801	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
802	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
803	C₂²⋊C₄	C₂⁴×C₆₁	1	24	yes	—
804	C₂²⋊C₄	C₂⁴×C₆₁	1	24	yes	—
805	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
806	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
807	C₂²⋊C₄	C₂⁴×C₆₁	1	6	yes	—
808	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
809	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
810	C₂²⋊C₄	C₂⁴×C₆₁	1	12	yes	—
811	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
812	C₄²	C₂⁴×C₆₁	1	6	yes	—
813	C₄²	C₂⁴×C₆₁	1	4	yes	—
814	C₄²	C₂⁴×C₆₁	1	6	yes	—
815	C₄²	C₂⁴×C₆₁	1	6	yes	—
816	C₄²	C₂⁴×C₆₁	1	2	yes	—
817	C₄²	C₂⁴×C₆₁	1	3	yes	—
818	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
819	C₄²	C₂⁴×C₆₁	1	12	yes	—
820	C₄²	C₂⁴×C₆₁	1	6	yes	—
821	C₄²	C₂⁴×C₆₁	1	12	yes	—
822	C₄²	C₂⁴×C₆₁	1	6	yes	—
823	C₄²	C₂⁴×C₆₁	1	6	yes	—
824	C₄²	C₂⁴×C₆₁	1	3	yes	—
825	C₄²	C₂⁴×C₆₁	1	3	yes	—
826	C₂³	—	2	24	no	—
827	C₂³	—	4	12	no	—
828	C₂³	—	4	12	no	—
829	C₂³	C₂⁵×C₆₁	1	12	yes	—
830	C₂³	C₂⁵×C₆₁	1	2	yes	—
831	C₂³	C₂⁵×C₆₁	1	3	yes	—
832	Q₈	—	2	12	no	—
833	Q₈	—	2	6	no	—
834	Q₈	—	2	4	no	—
835	Q₈	—	2	2	no	—
836	Q₈	—	2	6	no	—
837	Q₈	—	4	6	no	—
838	Q₈	—	4	6	no	—
839	Q₈	C₂×#41×C₆₁	1	4	yes	—
840	D₄	—	2	24	no	—
841	D₄	—	2	12	no	—
842	D₄	—	2	24	no	—
843	D₄	—	2	12	no	—
844	D₄	—	2	2	no	—
845	D₄	—	2	12	no	—
846	D₄	—	4	12	no	—
847	D₄	—	4	6	no	—
848	D₄	—	4	12	no	—
849	D₄	—	4	12	no	—
850	D₄	—	4	12	no	—
851	D₄	C₂×#41×C₆₁	1	12	yes	—
852	C₂×C₄	—	2	12	no	—
853	C₂×C₄	—	2	24	no	—
854	C₂×C₄	—	2	12	no	—
855	C₂×C₄	—	2	6	no	—
856	C₂×C₄	—	2	4	no	—
857	C₂×C₄	—	4	6	no	—
858	C₂×C₄	—	4	12	no	—
859	C₂×C₄	—	4	6	no	—
860	C₂×C₄	—	4	24	no	—
861	C₂×C₄	—	4	3	no	—
862	C₂×C₄	—	4	6	no	—
863	C₂×C₄	—	4	12	no	—
864	C₂×C₄	—	4	6	no	—
865	C₂×C₄	C₂×#41×C₆₁	1	12	yes	—
866	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
867	C₂×C₄	C₂⁵×C₆₁	1	3	yes	—
868	C₂×C₄	C₂⁵×C₆₁	1	6	yes	—
869	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
870	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
871	C₂×C₄	C₂⁵×C₆₁	1	6	yes	—
872	C₂×C₄	C₂⁵×C₆₁	1	6	yes	—
873	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
874	C₂×C₄	C₂⁵×C₆₁	1	3	yes	—
875	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
876	C₂×C₄	C₂⁵×C₆₁	1	6	yes	—
877	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
878	C₂×C₄	C₂⁵×C₆₁	1	3	yes	—
879	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
880	C₂²	—	2	3	no	—
881	C₂²	—	2	3	no	—
882	C₂²	—	2	2	no	—
883	C₂²	—	2	12	no	—
884	C₂²	—	2	2	no	—
885	C₂²	—	2	12	no	—
886	C₂²	—	2	2	no	—
887	C₂²	—	2	12	no	—
888	C₂²	—	8	24	no	—
889	C₂²	C₂²×#41×C₆₁	1	6	yes	—
890	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
891	C₄	—	2	4	no	—
892	C₄	—	2	6	no	—
893	C₄	—	2	2	no	—
894	C₄	—	2	3	no	—
895	C₄	—	2	6	no	—
896	C₄	—	2	2	no	—
897	C₄	—	2	2	no	—
898	C₄	—	2	6	no	—
899	C₄	—	2	6	no	—
900	C₄	—	2	1	no	—
901	C₄	—	2	3	no	—
902	C₄	C₂²×#41×C₆₁	1	6	yes	—
903	C₄	C₂²×#41×C₆₁	1	2	yes	—
904	C₄	C₆₁×#585	1	2	yes	—
905	C₂	—	2	6	no	—
906	C₂	—	4	12	no	—
907	C₂	—	4	2	no	—
908	C₂	C₂³×#41×C₆₁	1	1	yes	characteristic
909	C₂	C₂×C₆₁×#585	1	1	yes	characteristic
910	C₂	C₆₁×H(7,𝔽₂)	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×#3524	C₂	semidirect
2. C₆₁×#3522	C₂	semidirect
3. C₆₁×#3514	C₂	semidirect
4. C₆₁×#3513	C₂	semidirect
5. C₆₁×#3510	C₂	semidirect
6. C₆₁×#3508	C₂	semidirect
7. C₆₁×#3507	C₂	semidirect
8. C₆₁×#3506	C₂	semidirect
9. C₆₁×#3500	C₂	semidirect
10. C₆₁×#3498	C₂	semidirect
11. C₆₁×#3481	C₂	semidirect
12. C₆₁×#3480	C₂	semidirect
13. C₆₁×#3480	C₂	semidirect
14. C₂×C₆₁×#559	C₂	semidirect
15. Q₈×#41×C₆₁	C₂	semidirect
16. C₄×2₋¹⁺⁴×C₆₁	C₂	semidirect
17. C₄×H(5,𝔽₂)×C₆₁	C₂	semidirect
20. C₆₁×#559	C₂²	semidirect
21. C₆₁×#559	C₂²	semidirect
22. C₆₁×#559	C₂²	semidirect
23. C₆₁×#559	C₂²	semidirect
24. C₆₁×#559	C₂²	semidirect
25. C₆₁×#559	C₂²	semidirect
26. C₆₁×#559	C₂²	semidirect
27. C₆₁×#559	C₂²	semidirect
28. Q₈²×C₆₁	C₂²	semidirect
29. C₆₁×#557	C₂²	semidirect
30. C₆₁×#557	C₂²	semidirect
31. C₆₁×#557	C₂²	semidirect
32. C₆₁×#556	C₂²	semidirect
33. C₆₁×#556	C₂²	semidirect
34. C₆₁×#556	C₂²	semidirect
35. C₆₁×#556	C₂²	semidirect
36. C₆₁×#555	C₂²	semidirect
37. C₆₁×#554	C₂²	semidirect
38. C₆₁×#554	C₂²	semidirect
39. C₆₁×#554	C₂²	semidirect
40. C₆₁×#553	C₂²	semidirect
41. C₆₁×#553	C₂²	semidirect
42. C₆₁×#553	C₂²	semidirect
43. C₆₁×#553	C₂²	semidirect
44. C₆₁×#552	C₂²	semidirect
45. C₆₁×#551	C₂²	semidirect
46. C₆₁×#551	C₂²	semidirect
49. C₆₁×#550	C₂²	semidirect
50. C₆₁×#550	C₂²	semidirect
51. D₄×Q₈×C₆₁	C₂²	semidirect
52. C₆₁×#548	C₂²	semidirect
53. C₆₁×#548	C₂²	semidirect
54. C₆₁×#548	C₂²	semidirect
55. C₆₁×#547	C₂²	semidirect
56. C₆₁×#546	C₂²	semidirect
57. C₆₁×#546	C₂²	semidirect
58. C₆₁×#546	C₂²	semidirect
59. C₆₁×#546	C₂²	semidirect
62. C₆₁×#542	C₂²	semidirect
63. C₆₁×#542	C₂²	semidirect
64. C₆₁×#540	C₂²	semidirect
65. C₆₁×#539	C₂²	semidirect
66. C₆₁×#538	C₂²	semidirect
67. C₆₁×#536	C₂²	semidirect
69. C₆₁×#535	C₂²	semidirect
70. C₆₁×#533	C₂²	semidirect
71. C₆₁×#533	C₂²	semidirect
73. C₆₁×#532	C₂²	semidirect
74. C₆₁×#532	C₂²	semidirect
75. C₆₁×#532	C₂²	semidirect
77. C₆₁×#529	C₂²	semidirect
78. C₆₁×#529	C₂²	semidirect
79. C₆₁×#529	C₂²	semidirect
80. C₆₁×#529	C₂²	semidirect
81. C₆₁×#529	C₂²	semidirect
82. C₂×#124×C₆₁	C₂²	semidirect
83. C₂×#124×C₆₁	C₂²	semidirect
84. C₆₁×#525	C₂²	semidirect
85. C₂×#123×C₆₁	C₂²	semidirect
87. C₆₁×#520	C₂²	semidirect
88. C₆₁×#520	C₂²	semidirect
89. C₆₁×#520	C₂²	semidirect
90. C₆₁×#520	C₂²	semidirect
91. C₆₁×#519	C₂²	semidirect
92. C₆₁×#519	C₂²	semidirect
93. C₆₁×#518	C₂²	semidirect
94. C₆₁×#518	C₂²	semidirect
97. C₄×#41×C₆₁	C₂²	semidirect
98. C₄×#41×C₆₁	C₂²	semidirect
99. C₄×#41×C₆₁	C₂²	semidirect
100. C₄×#41×C₆₁	C₂²	semidirect
101. C₄×#41×C₆₁	C₂²	semidirect
102. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
103. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
104. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
105. C₂×C₄×D₄×C₆₁	C₂²	semidirect
106. C₂×C₄×D₄×C₆₁	C₂²	semidirect
107. C₂×C₄×D₄×C₆₁	C₂²	semidirect
272. #41×C₆₁	#41	semidirect
424. #63010	C₆₁	direct (N × H)
450. #3524	C₂×C₆₁	semidirect
451. #3522	C₂×C₆₁	semidirect
452. #3514	C₂×C₆₁	semidirect
453. #3513	C₂×C₆₁	semidirect
454. #3510	C₂×C₆₁	semidirect
455. #3508	C₂×C₆₁	semidirect
456. #3507	C₂×C₆₁	semidirect
457. #3506	C₂×C₆₁	semidirect
458. #3500	C₂×C₆₁	semidirect
459. #3498	C₂×C₆₁	semidirect
460. #3481	C₂×C₆₁	semidirect
461. #3480	C₂×C₆₁	semidirect
462. #3480	C₂×C₆₁	semidirect
463. C₂×#559	C₂×C₆₁	semidirect
464. Q₈×#41	C₂×C₆₁	semidirect
465. C₄×2₋¹⁺⁴	C₂×C₆₁	semidirect
466. C₄×H(5,𝔽₂)	C₂×C₆₁	semidirect
475. #559	C₂²×C₆₁	semidirect
476. #559	C₂²×C₆₁	semidirect
477. #559	C₂²×C₆₁	semidirect
478. #559	C₂²×C₆₁	semidirect
479. #559	C₂²×C₆₁	semidirect
480. #559	C₂²×C₆₁	semidirect
481. #559	C₂²×C₆₁	semidirect
482. #559	C₂²×C₆₁	semidirect
483. Q₈²	C₂²×C₆₁	semidirect
484. #557	C₂²×C₆₁	semidirect
485. #557	C₂²×C₆₁	semidirect
486. #557	C₂²×C₆₁	semidirect
487. #556	C₂²×C₆₁	semidirect
488. #556	C₂²×C₆₁	semidirect
489. #556	C₂²×C₆₁	semidirect
490. #556	C₂²×C₆₁	semidirect
491. #555	C₂²×C₆₁	semidirect
492. #554	C₂²×C₆₁	semidirect
493. #554	C₂²×C₆₁	semidirect
494. #554	C₂²×C₆₁	semidirect
495. #553	C₂²×C₆₁	semidirect
496. #553	C₂²×C₆₁	semidirect
497. #553	C₂²×C₆₁	semidirect
498. #553	C₂²×C₆₁	semidirect
499. #552	C₂²×C₆₁	semidirect
500. #551	C₂²×C₆₁	semidirect
501. #551	C₂²×C₆₁	semidirect
504. #550	C₂²×C₆₁	semidirect
505. #550	C₂²×C₆₁	semidirect
506. D₄×Q₈	C₂²×C₆₁	semidirect
507. #548	C₂²×C₆₁	semidirect
508. #548	C₂²×C₆₁	semidirect
509. #548	C₂²×C₆₁	semidirect
510. #547	C₂²×C₆₁	semidirect
511. #546	C₂²×C₆₁	semidirect
512. #546	C₂²×C₆₁	semidirect
513. #546	C₂²×C₆₁	semidirect
514. #546	C₂²×C₆₁	semidirect
517. #542	C₂²×C₆₁	semidirect
518. #542	C₂²×C₆₁	semidirect
519. #540	C₂²×C₆₁	semidirect
520. #539	C₂²×C₆₁	semidirect
521. #538	C₂²×C₆₁	semidirect
522. #536	C₂²×C₆₁	semidirect
524. #535	C₂²×C₆₁	semidirect
525. #533	C₂²×C₆₁	semidirect
526. #533	C₂²×C₆₁	semidirect
528. #532	C₂²×C₆₁	semidirect
529. #532	C₂²×C₆₁	semidirect
530. #532	C₂²×C₆₁	semidirect
532. #529	C₂²×C₆₁	semidirect
533. #529	C₂²×C₆₁	semidirect
534. #529	C₂²×C₆₁	semidirect
535. #529	C₂²×C₆₁	semidirect
536. #529	C₂²×C₆₁	semidirect
537. C₂×#124	C₂²×C₆₁	semidirect
538. C₂×#124	C₂²×C₆₁	semidirect
539. #525	C₂²×C₆₁	semidirect
540. C₂×#123	C₂²×C₆₁	semidirect
542. #520	C₂²×C₆₁	semidirect
543. #520	C₂²×C₆₁	semidirect
544. #520	C₂²×C₆₁	semidirect
545. #520	C₂²×C₆₁	semidirect
546. #519	C₂²×C₆₁	semidirect
547. #519	C₂²×C₆₁	semidirect
548. #518	C₂²×C₆₁	semidirect
549. #518	C₂²×C₆₁	semidirect
552. C₄×#41	C₂²×C₆₁	semidirect
553. C₄×#41	C₂²×C₆₁	semidirect
554. C₄×#41	C₂²×C₆₁	semidirect
555. C₄×#41	C₂²×C₆₁	semidirect
556. C₄×#41	C₂²×C₆₁	semidirect
557. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
558. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
559. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
560. C₂×C₄×D₄	C₂²×C₆₁	semidirect
561. C₂×C₄×D₄	C₂²×C₆₁	semidirect
562. C₂×C₄×D₄	C₂²×C₆₁	semidirect
563. C₆₁	#63010	direct (N × H)
728. #41	#41×C₆₁	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₆₁×#3524	2
C₆₁×#3522	2
C₆₁×#3514	2
C₆₁×#3513	2
C₆₁×#3510	2
C₆₁×#3508	2
C₆₁×#3507	2
C₆₁×#3506	2
C₆₁×#3500	2
C₆₁×#3498	2
C₆₁×#3481	2
C₆₁×#3480	2
C₂×C₆₁×#559	2
Q₈×#41×C₆₁	2
C₄×2₋¹⁺⁴×C₆₁	2
C₄×H(5,𝔽₂)×C₆₁	2
#63010	61

Subgroups — C61×#63010 #29566443

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#63010 #29566443