Subgroups — C₆₁×#61062 #29564495

Order 15616.

2750 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₆₁×#577	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₆₁×#575	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3489	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3488	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3278	C₂	1	2	yes	maximal, complemented
6	C₆₁×#3277	C₂	1	2	yes	maximal, complemented
7	C₆₁×#3273	C₂	1	2	yes	maximal, complemented
8	C₆₁×#3272	C₂	1	2	yes	maximal, complemented
9	C₆₁×#3269	C₂	1	2	yes	maximal, complemented
10	C₆₁×#3268	C₂	1	2	yes	maximal, complemented
11	C₆₁×#3266	C₂	1	2	yes	maximal, complemented
12	C₆₁×#3265	C₂	1	2	yes	maximal, complemented
13	C₆₁×#3154	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3061	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₆₁×#468	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3046	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3045	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3013	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3012	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3007	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3006	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#2951	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#2930	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×2₋¹⁺⁴×C₆₁	C₂²	1	1	yes	characteristic, complemented
25	C₂×H(5,𝔽₂)×C₆₁	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#41×C₆₁	C₂²	1	1	yes	characteristic
27	C₂²×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
28	C₆₁×#577	—	2	8	no	—
29	C₆₁×#575	—	2	8	no	—
30	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic, complemented
31	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic, complemented
32	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic, complemented
33	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic, complemented
34	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic, complemented
35	C₂×#137×C₆₁	C₂²	1	2	yes	complemented
36	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic, complemented
37	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic, complemented
38	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic, complemented
39	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic, complemented
40	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic, complemented
41	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic, complemented
42	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	2	yes	complemented
43	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic, complemented
44	C₂×#135×C₆₁	C₂²	1	1	yes	characteristic
45	C₂×#135×C₆₁	C₂²	1	1	yes	characteristic
46	C₂×#135×C₆₁	C₂²	1	1	yes	characteristic, complemented
47	C₂×#135×C₆₁	C₂²	1	1	yes	characteristic, complemented
48	C₂×#135×C₆₁	C₂²	1	2	yes	complemented
49	C₂²×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
50	C₂²×SD₁₆×C₆₁	C₂²	1	2	yes	complemented
51	C₂×#131×C₆₁	C₂²	1	1	yes	characteristic, complemented
52	C₂²×M₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
53	C₆₁×#550	C₂²	1	2	yes	—
54	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
55	C₆₁×#548	C₂²	1	2	yes	complemented
56	C₆₁×#548	C₂²	1	2	yes	complemented
57	C₆₁×#547	—	2	2	no	—
58	C₆₁×#547	C₂²	1	2	yes	complemented
59	C₆₁×#546	—	2	2	no	—
60	C₆₁×#546	—	2	2	no	—
61	C₆₁×#546	C₂²	1	2	yes	—
62	C₆₁×#546	C₂²	1	2	yes	complemented
63	D₄²×C₆₁	—	2	2	no	—
64	D₄²×C₆₁	C₂²	1	2	yes	complemented
65	C₆₁×#537	—	2	1	no	—
66	C₆₁×#537	—	2	1	no	—
67	C₆₁×#537	C₂²	1	1	yes	characteristic, complemented
68	C₆₁×#537	C₂²	1	1	yes	characteristic, complemented
69	C₆₁×#536	—	2	1	no	—
70	C₆₁×#536	C₂²	1	1	yes	characteristic, complemented
71	C₆₁×#535	—	2	1	no	—
72	C₆₁×#535	C₂²	1	1	yes	characteristic, complemented
73	C₆₁×#525	—	2	1	no	—
74	C₆₁×#525	—	2	1	no	—
75	C₆₁×#525	C₂²	1	1	yes	characteristic
76	C₂×C₂²⋊Q₈×C₆₁	—	2	1	no	—
77	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
78	C₂×#121×C₆₁	—	2	1	no	—
79	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
80	C₆₁×#520	C₂²	1	1	yes	characteristic, complemented
81	C₆₁×#520	C₂²	1	1	yes	characteristic, complemented
82	C₆₁×#497	C₂²	1	2	yes	complemented
83	C₆₁×#496	C₂²	1	2	yes	complemented
84	C₆₁×#495	C₂²	1	2	yes	complemented
85	C₆₁×#492	C₂²	1	2	yes	complemented
86	C₆₁×#468	C₂²	1	2	yes	complemented
87	C₆₁×#468	C₂²	1	2	yes	complemented
88	C₆₁×#468	C₂²	1	2	yes	complemented
89	C₆₁×#468	C₂²	1	2	yes	complemented
90	C₆₁×#468	C₂²	1	2	yes	complemented
91	C₆₁×#468	C₂²	1	2	yes	complemented
92	C₆₁×#467	C₂²	1	2	yes	complemented
93	C₆₁×#466	C₂²	1	2	yes	complemented
94	C₆₁×#464	C₂²	1	2	yes	complemented
95	C₆₁×#464	C₂²	1	2	yes	complemented
96	C₆₁×#463	C₂²	1	2	yes	complemented
97	C₆₁×#463	C₂²	1	2	yes	complemented
98	C₆₁×#462	C₂²	1	2	yes	complemented
99	C₆₁×#461	C₂²	1	2	yes	complemented
100	C₆₁×#460	C₂²	1	2	yes	complemented
101	C₆₁×#459	C₂²	1	2	yes	complemented
102	C₆₁×#452	C₂²	1	2	yes	complemented
103	C₆₁×#452	C₂²	1	2	yes	complemented
104	C₆₁×#452	C₂²	1	2	yes	complemented
105	C₆₁×#452	C₂²	1	2	yes	complemented
106	C₆₁×#451	C₂²	1	2	yes	complemented
107	C₆₁×#451	C₂²	1	2	yes	complemented
108	C₆₁×#450	C₂²	1	2	yes	complemented
109	C₆₁×#450	C₂²	1	2	yes	complemented
110	C₆₁×#449	C₂²	1	2	yes	complemented
111	C₆₁×#449	C₂²	1	2	yes	complemented
112	C₆₁×#449	C₂²	1	2	yes	complemented
113	C₆₁×#449	C₂²	1	2	yes	complemented
114	C₆₁×#448	C₂²	1	2	yes	complemented
115	C₆₁×#448	C₂²	1	2	yes	complemented
116	C₆₁×#447	C₂²	1	2	yes	complemented
117	C₆₁×#447	C₂²	1	2	yes	complemented
118	C₆₁×#440	C₂²	1	2	yes	complemented
119	C₆₁×#440	C₂²	1	2	yes	complemented
120	C₄×Q₁₆×C₆₁	C₂²	1	2	yes	complemented
121	C₄×D₈×C₆₁	C₂²	1	2	yes	complemented
122	C₆₁×#436	C₂²	1	2	yes	complemented
123	C₆₁×#436	C₂²	1	2	yes	complemented
124	C₆₁×#435	C₂²	1	2	yes	complemented
125	C₆₁×#435	C₂²	1	2	yes	complemented
126	C₂×#107×C₆₁	C₂²	1	1	yes	characteristic, complemented
127	C₆₁×#424	C₂²	1	1	yes	characteristic, complemented
128	C₆₁×#417	C₂²	1	1	yes	characteristic, complemented
129	C₆₁×#417	C₂²	1	1	yes	characteristic, complemented
130	C₆₁×#417	C₂²	1	1	yes	characteristic, complemented
131	C₆₁×#417	C₂²	1	1	yes	characteristic, complemented
132	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic, complemented
133	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic, complemented
134	C₆₁×#408	C₂²	1	1	yes	characteristic, complemented
135	C₆₁×#407	C₂²	1	1	yes	characteristic, complemented
136	C₆₁×#405	C₂²	1	1	yes	characteristic, complemented
137	2₋¹⁺⁴×C₆₁	—	2	4	no	—
138	2₋¹⁺⁴×C₆₁	—	4	2	no	—
139	H(5,𝔽₂)×C₆₁	—	2	4	no	—
140	H(5,𝔽₂)×C₆₁	—	4	2	no	—
141	C₂×#41×C₆₁	—	2	1	no	—
142	C₂×#41×C₆₁	—	2	1	no	—
143	C₂×#41×C₆₁	—	2	2	no	—
144	C₂×#41×C₆₁	—	2	1	no	—
145	C₂×#41×C₆₁	—	2	1	no	—
146	C₂×#41×C₆₁	—	2	1	no	—
147	C₂×#41×C₆₁	—	2	1	no	—
148	C₂×#41×C₆₁	—	2	4	no	—
149	C₂×#41×C₆₁	—	2	4	no	—
150	C₂×#41×C₆₁	—	4	2	no	—
151	C₂×#41×C₆₁	—	4	2	no	—
152	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
153	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
154	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
155	C₂×#41×C₆₁	C₂³	1	2	yes	—
156	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
157	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
158	C₂×#41×C₆₁	C₂³	1	2	yes	—
159	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
160	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
161	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
162	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
163	C₂²×Q₈×C₆₁	—	2	1	no	—
164	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
165	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
166	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
167	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
168	C₂²×D₄×C₆₁	—	2	1	no	—
169	C₂²×D₄×C₆₁	—	2	1	no	—
170	C₂²×D₄×C₆₁	—	2	1	no	—
171	C₂²×D₄×C₆₁	—	2	1	no	—
172	C₂²×D₄×C₆₁	—	2	2	no	—
173	C₂²×D₄×C₆₁	—	2	2	no	—
174	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
175	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
176	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
177	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
178	C₂³×C₄×C₆₁	—	2	1	no	—
179	C₂³×C₄×C₆₁	—	2	1	no	—
180	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
181	#137×C₆₁	—	2	4	no	—
182	#137×C₆₁	—	2	4	no	—
183	#137×C₆₁	—	2	4	no	—
184	#137×C₆₁	—	2	8	no	—
185	#137×C₆₁	—	2	4	no	—
186	#137×C₆₁	—	2	4	no	—
187	#137×C₆₁	—	4	2	no	—
188	AGL(1,ℤ/8)×C₆₁	—	2	4	no	—
189	AGL(1,ℤ/8)×C₆₁	—	2	4	no	—
190	AGL(1,ℤ/8)×C₆₁	—	2	4	no	—
191	AGL(1,ℤ/8)×C₆₁	—	2	4	no	—
192	AGL(1,ℤ/8)×C₆₁	—	2	4	no	—
193	AGL(1,ℤ/8)×C₆₁	—	2	8	no	—
194	AGL(1,ℤ/8)×C₆₁	—	4	2	no	—
195	#135×C₆₁	—	2	4	no	—
196	#135×C₆₁	—	2	4	no	—
197	#135×C₆₁	—	2	8	no	—
198	#135×C₆₁	—	2	4	no	—
199	#135×C₆₁	D₄	1	8	yes	complemented
200	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
201	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
202	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
203	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
204	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
205	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
206	C₂×SD₁₆×C₆₁	—	2	8	no	—
207	C₂×SD₁₆×C₆₁	—	2	4	no	—
208	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
209	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
210	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
211	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
212	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
219	C₂×SD₁₆×C₆₁	C₂³	1	2	yes	—
220	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
222	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₆₁	C₂³	1	2	yes	—
224	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₆₁	C₂³	1	2	yes	—
227	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
228	#131×C₆₁	—	2	4	no	—
229	C₂×M₁₆×C₆₁	—	2	4	no	—
230	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
232	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
233	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
234	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
235	C₂×M₁₆×C₆₁	C₂³	1	2	yes	—
236	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
237	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₆₁	C₂³	1	2	yes	—
239	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈×C₆₁	—	2	2	no	—
241	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
242	#127×C₆₁	—	2	2	no	—
243	#127×C₆₁	C₂³	1	2	yes	—
244	#124×C₆₁	—	2	2	no	—
245	#124×C₆₁	—	2	2	no	—
246	#124×C₆₁	C₂³	1	2	yes	—
247	#124×C₆₁	C₂³	1	2	yes	—
248	#123×C₆₁	—	2	2	no	—
249	#123×C₆₁	—	2	2	no	—
250	#123×C₆₁	—	2	2	no	—
251	#123×C₆₁	—	2	2	no	—
252	#123×C₆₁	—	2	2	no	—
253	#123×C₆₁	D₄	1	2	yes	—
254	C₂²⋊Q₈×C₆₁	—	2	1	no	—
255	C₂²⋊Q₈×C₆₁	—	2	1	no	—
256	C₂²⋊Q₈×C₆₁	—	2	1	no	—
257	C₂²⋊Q₈×C₆₁	—	2	1	no	—
258	C₂²⋊Q₈×C₆₁	—	2	1	no	—
259	C₂²⋊Q₈×C₆₁	—	2	1	no	—
260	C₂²⋊Q₈×C₆₁	—	2	2	no	—
261	C₂²⋊Q₈×C₆₁	—	2	2	no	—
262	C₂²⋊Q₈×C₆₁	—	2	2	no	—
263	C₂²⋊Q₈×C₆₁	—	2	2	no	—
264	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
265	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
266	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
267	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
268	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
269	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
270	#121×C₆₁	—	2	1	no	—
271	#121×C₆₁	—	2	1	no	—
272	#121×C₆₁	—	2	2	no	—
273	#121×C₆₁	—	2	2	no	—
274	#121×C₆₁	—	2	2	no	—
275	#121×C₆₁	—	2	2	no	—
276	#121×C₆₁	—	2	2	no	—
277	#121×C₆₁	—	2	1	no	—
278	#121×C₆₁	—	2	1	no	—
279	#121×C₆₁	—	2	1	no	—
280	#121×C₆₁	—	2	1	no	—
281	#121×C₆₁	—	2	2	no	—
282	#121×C₆₁	—	2	2	no	—
283	#121×C₆₁	—	2	2	no	—
284	#121×C₆₁	—	2	2	no	—
285	#121×C₆₁	—	2	2	no	—
286	#121×C₆₁	D₄	1	1	yes	characteristic
287	#121×C₆₁	D₄	1	1	yes	characteristic
288	#121×C₆₁	C₂³	1	2	yes	—
289	#121×C₆₁	C₂³	1	2	yes	—
290	#121×C₆₁	C₂³	1	2	yes	—
291	#121×C₆₁	C₂³	1	2	yes	—
292	#120×C₆₁	—	2	2	no	—
293	#120×C₆₁	—	2	2	no	—
294	#120×C₆₁	—	2	2	no	—
295	#120×C₆₁	—	2	2	no	—
296	#120×C₆₁	—	2	2	no	—
297	#120×C₆₁	D₄	1	2	yes	—
298	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
299	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
300	C₄×D₄×C₆₁	—	2	2	no	—
301	C₄×D₄×C₆₁	—	2	2	no	—
302	C₄×D₄×C₆₁	—	2	2	no	—
303	C₄×D₄×C₆₁	—	2	2	no	—
304	C₄×D₄×C₆₁	—	2	2	no	—
305	C₄×D₄×C₆₁	—	2	2	no	—
306	C₄×D₄×C₆₁	C₂³	1	2	yes	—
307	C₄×D₄×C₆₁	C₂³	1	2	yes	—
308	C₄×D₄×C₆₁	C₂³	1	2	yes	—
309	C₄×D₄×C₆₁	C₂³	1	2	yes	—
310	#117×C₆₁	—	2	1	no	—
311	#117×C₆₁	—	2	1	no	—
312	#117×C₆₁	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
314	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
315	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
316	C₂×C₄⋊C₄×C₆₁	—	2	2	no	—
317	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
320	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
321	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
322	C₂×C₂²⋊C₄×C₆₁	—	2	2	no	—
323	#107×C₆₁	C₂³	1	2	yes	—
324	#107×C₆₁	C₂³	1	2	yes	—
325	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
326	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
327	#103×C₆₁	C₂³	1	2	yes	—
328	#103×C₆₁	C₂³	1	2	yes	—
329	#103×C₆₁	C₂³	1	2	yes	—
330	#103×C₆₁	C₂³	1	2	yes	—
331	#103×C₆₁	C₂³	1	2	yes	—
332	#103×C₆₁	C₂³	1	2	yes	—
333	#102×C₆₁	C₂³	1	2	yes	—
334	#102×C₆₁	C₂³	1	2	yes	—
335	#102×C₆₁	C₂³	1	2	yes	—
336	#102×C₆₁	C₂³	1	2	yes	—
337	#102×C₆₁	C₂³	1	2	yes	—
338	#102×C₆₁	C₂³	1	2	yes	—
339	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
340	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
341	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
342	C₂²⋊C₈×C₆₁	C₂³	1	2	yes	—
343	#97×C₆₁	C₂³	1	2	yes	—
344	C₄×C₈×C₆₁	C₂³	1	2	yes	—
345	C₂⁴×C₆₁	—	2	1	no	—
346	C₂⁴×C₆₁	—	2	1	no	—
347	C₂⁴×C₆₁	—	2	2	no	—
348	C₂⁴×C₆₁	—	2	1	no	—
349	C₂⁴×C₆₁	C₂×D₄	1	1	yes	characteristic
350	#41×C₆₁	—	2	2	no	—
351	#41×C₆₁	—	2	2	no	—
352	#41×C₆₁	—	2	2	no	—
353	#41×C₆₁	—	2	2	no	—
354	#41×C₆₁	—	2	4	no	—
355	#41×C₆₁	—	2	2	no	—
356	#41×C₆₁	—	2	2	no	—
357	#41×C₆₁	—	2	4	no	—
358	#41×C₆₁	—	2	2	no	—
359	#41×C₆₁	—	2	2	no	—
360	#41×C₆₁	—	2	2	no	—
361	#41×C₆₁	—	2	2	no	—
362	#41×C₆₁	—	2	2	no	—
363	#41×C₆₁	—	2	2	no	—
364	#41×C₆₁	—	4	4	no	—
365	#41×C₆₁	—	4	4	no	—
366	#41×C₆₁	—	4	1	no	—
367	#41×C₆₁	—	4	1	no	—
368	#41×C₆₁	—	4	1	no	—
369	#41×C₆₁	—	4	1	no	—
370	#41×C₆₁	—	4	2	no	—
371	#41×C₆₁	—	4	2	no	—
372	#41×C₆₁	—	4	4	no	—
373	#41×C₆₁	—	4	4	no	—
374	#41×C₆₁	—	4	4	no	—
375	#41×C₆₁	—	4	4	no	—
376	#41×C₆₁	—	4	8	no	—
377	#41×C₆₁	C₂×D₄	1	4	yes	—
378	#41×C₆₁	C₂×D₄	1	4	yes	complemented
379	C₂×Q₈×C₆₁	—	2	1	no	—
380	C₂×Q₈×C₆₁	—	2	1	no	—
381	C₂×Q₈×C₆₁	—	2	2	no	—
382	C₂×Q₈×C₆₁	—	2	1	no	—
383	C₂×Q₈×C₆₁	—	2	4	no	—
384	C₂×Q₈×C₆₁	—	2	2	no	—
385	C₂×Q₈×C₆₁	—	2	2	no	—
386	C₂×Q₈×C₆₁	—	2	2	no	—
387	C₂×Q₈×C₆₁	—	2	2	no	—
388	C₂×Q₈×C₆₁	—	4	1	no	—
389	C₂×Q₈×C₆₁	—	4	1	no	—
390	C₂×Q₈×C₆₁	—	4	2	no	—
391	C₂×Q₈×C₆₁	—	4	4	no	—
392	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
393	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
394	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
395	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
396	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
397	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
398	C₂×D₄×C₆₁	—	2	1	no	—
399	C₂×D₄×C₆₁	—	2	1	no	—
400	C₂×D₄×C₆₁	—	2	4	no	—
401	C₂×D₄×C₆₁	—	2	2	no	—
402	C₂×D₄×C₆₁	—	2	2	no	—
403	C₂×D₄×C₆₁	—	2	2	no	—
404	C₂×D₄×C₆₁	—	2	1	no	—
405	C₂×D₄×C₆₁	—	2	1	no	—
406	C₂×D₄×C₆₁	—	2	2	no	—
407	C₂×D₄×C₆₁	—	2	1	no	—
408	C₂×D₄×C₆₁	—	2	1	no	—
409	C₂×D₄×C₆₁	—	2	1	no	—
410	C₂×D₄×C₆₁	—	2	2	no	—
411	C₂×D₄×C₆₁	—	2	1	no	—
412	C₂×D₄×C₆₁	—	2	2	no	—
413	C₂×D₄×C₆₁	—	2	2	no	—
414	C₂×D₄×C₆₁	—	2	2	no	—
415	C₂×D₄×C₆₁	—	2	2	no	—
416	C₂×D₄×C₆₁	—	2	1	no	—
417	C₂×D₄×C₆₁	—	2	2	no	—
418	C₂×D₄×C₆₁	—	2	1	no	—
419	C₂×D₄×C₆₁	—	2	1	no	—
420	C₂×D₄×C₆₁	—	2	2	no	—
421	C₂×D₄×C₆₁	—	2	2	no	—
422	C₂×D₄×C₆₁	—	2	2	no	—
423	C₂×D₄×C₆₁	—	4	1	no	—
424	C₂×D₄×C₆₁	—	4	1	no	—
425	C₂×D₄×C₆₁	—	4	2	no	—
426	C₂×D₄×C₆₁	—	4	4	no	—
427	C₂×D₄×C₆₁	—	4	8	no	—
428	C₂×D₄×C₆₁	—	4	4	no	—
429	C₂×D₄×C₆₁	—	4	4	no	—
430	C₂×D₄×C₆₁	—	8	4	no	—
431	C₂×D₄×C₆₁	—	8	2	no	—
432	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
433	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
434	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
435	C₂×D₄×C₆₁	C₂×D₄	1	2	yes	—
436	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
437	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
438	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
439	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
440	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₆₁	—	2	1	no	—
442	C₂²×C₄×C₆₁	—	2	1	no	—
443	C₂²×C₄×C₆₁	—	2	2	no	—
444	C₂²×C₄×C₆₁	—	2	2	no	—
445	C₂²×C₄×C₆₁	—	2	1	no	—
446	C₂²×C₄×C₆₁	—	2	1	no	—
447	C₂²×C₄×C₆₁	—	2	2	no	—
448	C₂²×C₄×C₆₁	—	2	1	no	—
449	C₂²×C₄×C₆₁	—	2	1	no	—
450	C₂²×C₄×C₆₁	—	2	1	no	—
451	C₂²×C₄×C₆₁	—	2	1	no	—
452	C₂²×C₄×C₆₁	—	2	2	no	—
453	C₂²×C₄×C₆₁	—	2	1	no	—
454	C₂²×C₄×C₆₁	—	2	1	no	—
455	C₂²×C₄×C₆₁	—	2	2	no	—
456	C₂²×C₄×C₆₁	—	2	1	no	—
457	C₂²×C₄×C₆₁	—	2	1	no	—
458	C₂²×C₄×C₆₁	—	2	1	no	—
459	C₂²×C₄×C₆₁	—	2	2	no	—
460	C₂²×C₄×C₆₁	—	2	2	no	—
461	C₂²×C₄×C₆₁	—	4	4	no	—
462	C₂²×C₄×C₆₁	—	4	4	no	—
463	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
464	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
465	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
466	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
470	Q₁₆×C₆₁	—	2	4	no	—
471	Q₁₆×C₆₁	—	2	2	no	—
472	Q₁₆×C₆₁	—	2	2	no	—
473	Q₁₆×C₆₁	—	2	2	no	—
474	Q₁₆×C₆₁	—	4	2	no	—
475	Q₁₆×C₆₁	C₂×D₄	1	4	yes	complemented
476	SD₁₆×C₆₁	—	2	4	no	—
477	SD₁₆×C₆₁	—	2	2	no	—
478	SD₁₆×C₆₁	—	2	2	no	—
479	SD₁₆×C₆₁	—	2	4	no	—
480	SD₁₆×C₆₁	—	2	2	no	—
481	SD₁₆×C₆₁	—	2	2	no	—
482	SD₁₆×C₆₁	—	2	4	no	—
483	SD₁₆×C₆₁	—	2	4	no	—
484	SD₁₆×C₆₁	—	2	2	no	—
485	SD₁₆×C₆₁	—	2	2	no	—
486	SD₁₆×C₆₁	—	4	2	no	—
487	SD₁₆×C₆₁	—	4	2	no	—
488	SD₁₆×C₆₁	C₂×D₄	1	4	yes	complemented
489	SD₁₆×C₆₁	C₂×D₄	1	4	yes	complemented
490	D₈×C₆₁	—	2	2	no	—
491	D₈×C₆₁	—	2	2	no	—
492	D₈×C₆₁	—	2	4	no	—
493	D₈×C₆₁	—	2	2	no	—
494	D₈×C₆₁	—	4	2	no	—
495	D₈×C₆₁	C₂×D₄	1	4	yes	complemented
496	M₁₆×C₆₁	—	2	2	no	—
497	M₁₆×C₆₁	—	2	2	no	—
498	M₁₆×C₆₁	—	2	2	no	—
499	M₁₆×C₆₁	—	2	2	no	—
500	M₁₆×C₆₁	—	2	2	no	—
501	M₁₆×C₆₁	—	2	2	no	—
502	M₁₆×C₆₁	—	2	4	no	—
503	C₂×C₈×C₆₁	—	2	2	no	—
504	C₂×C₈×C₆₁	—	2	4	no	—
505	C₂×C₈×C₆₁	C₂×D₄	1	4	yes	complemented
506	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
507	C₂×C₈×C₆₁	C₂⁴	1	2	yes	—
508	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
509	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
510	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
511	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
512	C₄⋊C₄×C₆₁	—	2	2	no	—
513	C₄⋊C₄×C₆₁	—	2	1	no	—
514	C₄⋊C₄×C₆₁	—	2	1	no	—
515	C₄⋊C₄×C₆₁	—	2	2	no	—
516	C₄⋊C₄×C₆₁	—	2	2	no	—
517	C₄⋊C₄×C₆₁	—	2	2	no	—
518	C₄⋊C₄×C₆₁	—	2	2	no	—
519	C₄⋊C₄×C₆₁	—	2	2	no	—
520	C₄⋊C₄×C₆₁	—	2	2	no	—
521	C₄⋊C₄×C₆₁	—	2	2	no	—
522	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
523	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
524	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
525	C₄⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
526	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
527	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
528	C₂²⋊C₄×C₆₁	—	2	2	no	—
529	C₂²⋊C₄×C₆₁	—	2	2	no	—
530	C₂²⋊C₄×C₆₁	—	2	2	no	—
531	C₂²⋊C₄×C₆₁	—	2	2	no	—
532	C₂²⋊C₄×C₆₁	—	2	2	no	—
533	C₂²⋊C₄×C₆₁	—	2	2	no	—
534	C₂²⋊C₄×C₆₁	—	2	2	no	—
535	C₂²⋊C₄×C₆₁	—	2	2	no	—
536	C₂²⋊C₄×C₆₁	—	2	2	no	—
537	C₂²⋊C₄×C₆₁	—	2	2	no	—
538	C₂²⋊C₄×C₆₁	—	2	2	no	—
539	C₂²⋊C₄×C₆₁	—	2	2	no	—
540	C₂²⋊C₄×C₆₁	—	2	2	no	—
541	C₂²⋊C₄×C₆₁	—	2	2	no	—
542	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
543	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
544	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
545	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
546	C₂²⋊C₄×C₆₁	C₂×D₄	1	2	yes	—
547	C₄²×C₆₁	—	2	2	no	—
548	C₄²×C₆₁	—	2	2	no	—
549	C₄²×C₆₁	C₂⁴	1	2	yes	—
550	C₂³×C₆₁	—	2	1	no	—
551	C₂³×C₆₁	—	2	1	no	—
552	C₂³×C₆₁	—	2	2	no	—
553	C₂³×C₆₁	—	2	1	no	—
554	C₂³×C₆₁	—	2	2	no	—
555	C₂³×C₆₁	—	2	1	no	—
556	C₂³×C₆₁	—	4	1	no	—
557	C₂³×C₆₁	—	4	1	no	—
558	C₂³×C₆₁	—	4	2	no	—
559	C₂³×C₆₁	—	4	2	no	—
560	C₂³×C₆₁	—	4	4	no	—
561	C₂³×C₆₁	—	4	2	no	—
562	C₂³×C₆₁	—	4	2	no	—
563	C₂³×C₆₁	—	4	2	no	—
564	C₂³×C₆₁	—	8	1	no	—
565	C₂³×C₆₁	—	8	1	no	—
566	C₂³×C₆₁	—	8	1	no	—
567	C₂³×C₆₁	—	8	2	no	—
568	C₂³×C₆₁	—	8	1	no	—
569	C₂³×C₆₁	—	8	2	no	—
570	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
571	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
572	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
573	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
574	Q₈×C₆₁	—	2	2	no	—
575	Q₈×C₆₁	—	2	1	no	—
576	Q₈×C₆₁	—	2	1	no	—
577	Q₈×C₆₁	—	2	2	no	—
578	Q₈×C₆₁	—	2	1	no	—
579	Q₈×C₆₁	—	2	1	no	—
580	Q₈×C₆₁	—	2	1	no	—
581	Q₈×C₆₁	—	2	2	no	—
582	Q₈×C₆₁	—	2	1	no	—
583	Q₈×C₆₁	—	4	4	no	—
584	Q₈×C₆₁	—	4	2	no	—
585	Q₈×C₆₁	—	4	2	no	—
586	Q₈×C₆₁	—	4	2	no	—
587	Q₈×C₆₁	C₂²×D₄	1	2	yes	—
588	Q₈×C₆₁	C₂²×D₄	1	2	yes	—
589	D₄×C₆₁	—	2	4	no	—
590	D₄×C₆₁	—	2	4	no	—
591	D₄×C₆₁	—	2	4	no	—
592	D₄×C₆₁	—	2	2	no	—
593	D₄×C₆₁	—	2	1	no	—
594	D₄×C₆₁	—	2	1	no	—
595	D₄×C₆₁	—	2	2	no	—
596	D₄×C₆₁	—	2	1	no	—
597	D₄×C₆₁	—	2	1	no	—
598	D₄×C₆₁	—	2	1	no	—
599	D₄×C₆₁	—	2	2	no	—
600	D₄×C₆₁	—	2	1	no	—
601	D₄×C₆₁	—	4	2	no	—
602	D₄×C₆₁	—	4	2	no	—
603	D₄×C₆₁	—	4	4	no	—
604	D₄×C₆₁	—	4	2	no	—
605	D₄×C₆₁	—	4	2	no	—
606	D₄×C₆₁	—	4	4	no	—
607	D₄×C₆₁	—	4	2	no	—
608	D₄×C₆₁	—	4	2	no	—
609	D₄×C₆₁	—	4	2	no	—
610	D₄×C₆₁	—	4	2	no	—
611	D₄×C₆₁	—	4	4	no	—
612	D₄×C₆₁	—	4	4	no	—
613	D₄×C₆₁	—	4	2	no	—
614	D₄×C₆₁	—	4	2	no	—
615	D₄×C₆₁	—	4	2	no	—
616	D₄×C₆₁	—	8	2	no	—
617	D₄×C₆₁	—	8	2	no	—
618	D₄×C₆₁	—	8	2	no	—
619	D₄×C₆₁	—	8	2	no	—
620	D₄×C₆₁	—	8	2	no	—
621	D₄×C₆₁	C₂²×D₄	1	2	yes	—
622	D₄×C₆₁	C₂²×D₄	1	2	yes	—
623	C₂×C₄×C₆₁	—	2	2	no	—
624	C₂×C₄×C₆₁	—	2	1	no	—
625	C₂×C₄×C₆₁	—	2	1	no	—
626	C₂×C₄×C₆₁	—	2	2	no	—
627	C₂×C₄×C₆₁	—	2	2	no	—
628	C₂×C₄×C₆₁	—	2	4	no	—
629	C₂×C₄×C₆₁	—	2	4	no	—
630	C₂×C₄×C₆₁	—	2	2	no	—
631	C₂×C₄×C₆₁	—	2	1	no	—
632	C₂×C₄×C₆₁	—	2	1	no	—
633	C₂×C₄×C₆₁	—	2	1	no	—
634	C₂×C₄×C₆₁	—	2	1	no	—
635	C₂×C₄×C₆₁	—	2	2	no	—
636	C₂×C₄×C₆₁	—	2	2	no	—
637	C₂×C₄×C₆₁	—	2	2	no	—
638	C₂×C₄×C₆₁	—	2	1	no	—
639	C₂×C₄×C₆₁	—	2	2	no	—
640	C₂×C₄×C₆₁	—	2	1	no	—
641	C₂×C₄×C₆₁	—	4	2	no	—
642	C₂×C₄×C₆₁	—	4	2	no	—
643	C₂×C₄×C₆₁	—	4	4	no	—
644	C₂×C₄×C₆₁	—	4	2	no	—
645	C₂×C₄×C₆₁	—	4	2	no	—
646	C₂×C₄×C₆₁	—	4	2	no	—
647	C₂×C₄×C₆₁	—	4	2	no	—
648	C₂×C₄×C₆₁	—	4	4	no	—
649	C₂×C₄×C₆₁	—	4	4	no	—
650	C₂×C₄×C₆₁	—	4	2	no	—
651	C₂×C₄×C₆₁	—	4	2	no	—
652	C₂×C₄×C₆₁	—	4	2	no	—
653	C₂×C₄×C₆₁	—	8	2	no	—
654	C₂×C₄×C₆₁	—	8	2	no	—
655	C₂×C₄×C₆₁	—	8	1	no	—
656	C₂×C₄×C₆₁	—	8	1	no	—
657	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
658	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
659	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
661	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
662	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
663	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
664	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
665	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
666	C₈×C₆₁	—	2	1	no	—
667	C₈×C₆₁	—	2	1	no	—
668	C₈×C₆₁	—	2	2	no	—
669	C₈×C₆₁	—	2	2	no	—
670	C₈×C₆₁	C₂²×D₄	1	2	yes	—
671	C₈×C₆₁	C₂²×D₄	1	2	yes	—
672	#61062	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
673	C₂²×C₆₁	—	2	1	no	—
674	C₂²×C₆₁	—	2	1	no	—
675	C₂²×C₆₁	—	2	1	no	—
676	C₂²×C₆₁	—	2	2	no	—
677	C₂²×C₆₁	—	2	1	no	—
678	C₂²×C₆₁	—	2	1	no	—
679	C₂²×C₆₁	—	2	2	no	—
680	C₂²×C₆₁	—	2	1	no	—
681	C₂²×C₆₁	—	2	1	no	—
682	C₂²×C₆₁	—	2	1	no	—
683	C₂²×C₆₁	—	2	2	no	—
684	C₂²×C₆₁	—	2	2	no	—
685	C₂²×C₆₁	—	2	2	no	—
686	C₂²×C₆₁	—	4	1	no	—
687	C₂²×C₆₁	—	4	1	no	—
688	C₂²×C₆₁	—	4	1	no	—
689	C₂²×C₆₁	—	4	1	no	—
690	C₂²×C₆₁	—	4	2	no	—
691	C₂²×C₆₁	—	4	1	no	—
692	C₂²×C₆₁	—	4	1	no	—
693	C₂²×C₆₁	—	4	1	no	—
694	C₂²×C₆₁	—	4	2	no	—
695	C₂²×C₆₁	—	4	1	no	—
696	C₂²×C₆₁	—	4	1	no	—
697	C₂²×C₆₁	—	4	1	no	—
698	C₂²×C₆₁	—	4	2	no	—
699	C₂²×C₆₁	—	8	2	no	—
700	C₂²×C₆₁	—	8	4	no	—
701	C₂²×C₆₁	—	8	4	no	—
702	C₂²×C₆₁	—	16	2	no	—
703	C₂²×C₆₁	—	16	4	no	—
704	C₂²×C₆₁	D₄²	1	2	yes	—
705	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
706	C₄×C₆₁	—	2	2	no	—
707	C₄×C₆₁	—	2	2	no	—
708	C₄×C₆₁	—	2	1	no	—
709	C₄×C₆₁	—	2	1	no	—
710	C₄×C₆₁	—	2	2	no	—
711	C₄×C₆₁	—	2	2	no	—
712	C₄×C₆₁	—	2	2	no	—
713	C₄×C₆₁	—	4	2	no	—
714	C₄×C₆₁	—	4	2	no	—
715	C₄×C₆₁	—	4	1	no	—
716	C₄×C₆₁	—	4	1	no	—
717	C₄×C₆₁	—	4	2	no	—
718	C₄×C₆₁	D₄²	1	2	yes	—
719	C₄×C₆₁	C₂³×D₄	1	1	yes	characteristic
720	C₄×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
721	C₂×#577	C₂×C₆₁	1	1	yes	characteristic, complemented
722	C₂×#575	C₂×C₆₁	1	1	yes	characteristic, complemented
723	#3489	C₂×C₆₁	1	1	yes	characteristic, complemented
724	#3488	C₂×C₆₁	1	1	yes	characteristic, complemented
725	#3278	C₂×C₆₁	1	2	yes	complemented
726	#3277	C₂×C₆₁	1	2	yes	complemented
727	#3273	C₂×C₆₁	1	2	yes	complemented
728	#3272	C₂×C₆₁	1	2	yes	complemented
729	#3269	C₂×C₆₁	1	2	yes	complemented
730	#3268	C₂×C₆₁	1	2	yes	complemented
731	#3266	C₂×C₆₁	1	2	yes	complemented
732	#3265	C₂×C₆₁	1	2	yes	complemented
733	#3154	C₂×C₆₁	1	1	yes	characteristic, complemented
734	#3061	C₂×C₆₁	1	1	yes	characteristic, complemented
735	C₂×#468	C₂×C₆₁	1	1	yes	characteristic, complemented
736	#3046	C₂×C₆₁	1	1	yes	characteristic, complemented
737	#3045	C₂×C₆₁	1	1	yes	characteristic, complemented
738	#3013	C₂×C₆₁	1	1	yes	characteristic, complemented
739	#3012	C₂×C₆₁	1	1	yes	characteristic, complemented
740	#3007	C₂×C₆₁	1	1	yes	characteristic, complemented
741	#3006	C₂×C₆₁	1	1	yes	characteristic, complemented
742	#2951	C₂×C₆₁	1	1	yes	characteristic, complemented
743	#2930	C₂×C₆₁	1	1	yes	characteristic, complemented
744	C₂×C₆₁	—	2	2	no	—
745	C₂×C₆₁	—	4	1	no	—
746	C₂×C₆₁	—	4	1	no	—
747	C₂×C₆₁	—	4	2	no	—
748	C₂×C₆₁	—	4	2	no	—
749	C₂×C₆₁	—	4	2	no	—
750	C₂×C₆₁	—	8	1	no	—
751	C₂×C₆₁	—	8	1	no	—
752	C₂×C₆₁	—	8	2	no	—
753	C₂×C₆₁	C₂×D₄²	1	1	yes	characteristic
754	C₂×C₆₁	#3585	1	1	yes	characteristic
755	C₂×C₆₁	#3586	1	1	yes	characteristic
756	C₂×2₋¹⁺⁴	C₂²×C₆₁	1	1	yes	characteristic, complemented
757	C₂×H(5,𝔽₂)	C₂²×C₆₁	1	1	yes	characteristic, complemented
758	C₂²×#41	C₂²×C₆₁	1	1	yes	characteristic
759	C₂²×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
760	#577	—	2	8	no	—
761	#575	—	2	8	no	—
762	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic, complemented
763	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic, complemented
764	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic, complemented
765	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic, complemented
766	C₂×#137	C₂²×C₆₁	1	2	yes	complemented
767	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic, complemented
768	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic, complemented
769	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic, complemented
770	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic, complemented
771	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic, complemented
772	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic, complemented
773	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	2	yes	complemented
774	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic, complemented
775	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic, complemented
776	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic
777	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic
778	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic, complemented
779	C₂×#135	C₂²×C₆₁	1	2	yes	complemented
780	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic, complemented
781	C₂²×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
782	C₂²×SD₁₆	C₂²×C₆₁	1	2	yes	complemented
783	C₂×#131	C₂²×C₆₁	1	1	yes	characteristic, complemented
784	C₂²×M₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
785	#550	C₂²×C₆₁	1	2	yes	—
786	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
787	#548	C₂²×C₆₁	1	2	yes	complemented
788	#548	C₂²×C₆₁	1	2	yes	complemented
789	#547	—	2	2	no	—
790	#547	C₂²×C₆₁	1	2	yes	complemented
791	#546	—	2	2	no	—
792	#546	—	2	2	no	—
793	#546	C₂²×C₆₁	1	2	yes	—
794	#546	C₂²×C₆₁	1	2	yes	complemented
795	D₄²	—	2	2	no	—
796	D₄²	C₂²×C₆₁	1	2	yes	complemented
797	#537	—	2	1	no	—
798	#537	—	2	1	no	—
799	#537	C₂²×C₆₁	1	1	yes	characteristic, complemented
800	#537	C₂²×C₆₁	1	1	yes	characteristic, complemented
801	#536	—	2	1	no	—
802	#536	C₂²×C₆₁	1	1	yes	characteristic, complemented
803	#535	—	2	1	no	—
804	#535	C₂²×C₆₁	1	1	yes	characteristic, complemented
805	#525	—	2	1	no	—
806	#525	—	2	1	no	—
807	#525	C₂²×C₆₁	1	1	yes	characteristic
808	C₂×C₂²⋊Q₈	—	2	1	no	—
809	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
810	C₂×#121	—	2	1	no	—
811	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
812	#520	C₂²×C₆₁	1	1	yes	characteristic, complemented
813	#520	C₂²×C₆₁	1	1	yes	characteristic, complemented
814	#497	C₂²×C₆₁	1	2	yes	complemented
815	#496	C₂²×C₆₁	1	2	yes	complemented
816	#495	C₂²×C₆₁	1	2	yes	complemented
817	#492	C₂²×C₆₁	1	2	yes	complemented
818	#468	C₂²×C₆₁	1	2	yes	complemented
819	#468	C₂²×C₆₁	1	2	yes	complemented
820	#468	C₂²×C₆₁	1	2	yes	complemented
821	#468	C₂²×C₆₁	1	2	yes	complemented
822	#468	C₂²×C₆₁	1	2	yes	complemented
823	#468	C₂²×C₆₁	1	2	yes	complemented
824	#467	C₂²×C₆₁	1	2	yes	complemented
825	#466	C₂²×C₆₁	1	2	yes	complemented
826	#464	C₂²×C₆₁	1	2	yes	complemented
827	#464	C₂²×C₆₁	1	2	yes	complemented
828	#463	C₂²×C₆₁	1	2	yes	complemented
829	#463	C₂²×C₆₁	1	2	yes	complemented
830	#462	C₂²×C₆₁	1	2	yes	complemented
831	#461	C₂²×C₆₁	1	2	yes	complemented
832	#460	C₂²×C₆₁	1	2	yes	complemented
833	#459	C₂²×C₆₁	1	2	yes	complemented
834	#452	C₂²×C₆₁	1	2	yes	complemented
835	#452	C₂²×C₆₁	1	2	yes	complemented
836	#452	C₂²×C₆₁	1	2	yes	complemented
837	#452	C₂²×C₆₁	1	2	yes	complemented
838	#451	C₂²×C₆₁	1	2	yes	complemented
839	#451	C₂²×C₆₁	1	2	yes	complemented
840	#450	C₂²×C₆₁	1	2	yes	complemented
841	#450	C₂²×C₆₁	1	2	yes	complemented
842	#449	C₂²×C₆₁	1	2	yes	complemented
843	#449	C₂²×C₆₁	1	2	yes	complemented
844	#449	C₂²×C₆₁	1	2	yes	complemented
845	#449	C₂²×C₆₁	1	2	yes	complemented
846	#448	C₂²×C₆₁	1	2	yes	complemented
847	#448	C₂²×C₆₁	1	2	yes	complemented
848	#447	C₂²×C₆₁	1	2	yes	complemented
849	#447	C₂²×C₆₁	1	2	yes	complemented
850	#440	C₂²×C₆₁	1	2	yes	complemented
851	#440	C₂²×C₆₁	1	2	yes	complemented
852	C₄×Q₁₆	C₂²×C₆₁	1	2	yes	complemented
853	C₄×D₈	C₂²×C₆₁	1	2	yes	complemented
854	#436	C₂²×C₆₁	1	2	yes	complemented
855	#436	C₂²×C₆₁	1	2	yes	complemented
856	#435	C₂²×C₆₁	1	2	yes	complemented
857	#435	C₂²×C₆₁	1	2	yes	complemented
858	C₂×#107	C₂²×C₆₁	1	1	yes	characteristic, complemented
859	#424	C₂²×C₆₁	1	1	yes	characteristic, complemented
860	#417	C₂²×C₆₁	1	1	yes	characteristic, complemented
861	#417	C₂²×C₆₁	1	1	yes	characteristic, complemented
862	#417	C₂²×C₆₁	1	1	yes	characteristic, complemented
863	#417	C₂²×C₆₁	1	1	yes	characteristic, complemented
864	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic, complemented
865	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic, complemented
866	#408	C₂²×C₆₁	1	1	yes	characteristic, complemented
867	#407	C₂²×C₆₁	1	1	yes	characteristic, complemented
868	#405	C₂²×C₆₁	1	1	yes	characteristic, complemented
869	C₆₁	#61062	1	1	yes	characteristic, direct product factor, Sylow
870	2₋¹⁺⁴	—	2	4	no	—
871	2₋¹⁺⁴	—	4	2	no	—
872	H(5,𝔽₂)	—	2	4	no	—
873	H(5,𝔽₂)	—	4	2	no	—
874	C₂×#41	—	2	1	no	—
875	C₂×#41	—	2	1	no	—
876	C₂×#41	—	2	2	no	—
877	C₂×#41	—	2	1	no	—
878	C₂×#41	—	2	1	no	—
879	C₂×#41	—	2	1	no	—
880	C₂×#41	—	2	1	no	—
881	C₂×#41	—	2	4	no	—
882	C₂×#41	—	2	4	no	—
883	C₂×#41	—	4	2	no	—
884	C₂×#41	—	4	2	no	—
885	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
886	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
887	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
888	C₂×#41	C₂³×C₆₁	1	2	yes	—
889	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
890	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
891	C₂×#41	C₂³×C₆₁	1	2	yes	—
892	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
893	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
894	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
895	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
896	C₂²×Q₈	—	2	1	no	—
897	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
898	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
899	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
900	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
901	C₂²×D₄	—	2	1	no	—
902	C₂²×D₄	—	2	1	no	—
903	C₂²×D₄	—	2	1	no	—
904	C₂²×D₄	—	2	1	no	—
905	C₂²×D₄	—	2	2	no	—
906	C₂²×D₄	—	2	2	no	—
907	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
908	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
909	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
910	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
911	C₂³×C₄	—	2	1	no	—
912	C₂³×C₄	—	2	1	no	—
913	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
914	#137	—	2	4	no	—
915	#137	—	2	4	no	—
916	#137	—	2	4	no	—
917	#137	—	2	8	no	—
918	#137	—	2	4	no	—
919	#137	—	2	4	no	—
920	#137	—	4	2	no	—
921	AGL(1,ℤ/8)	—	2	4	no	—
922	AGL(1,ℤ/8)	—	2	4	no	—
923	AGL(1,ℤ/8)	—	2	4	no	—
924	AGL(1,ℤ/8)	—	2	4	no	—
925	AGL(1,ℤ/8)	—	2	4	no	—
926	AGL(1,ℤ/8)	—	2	8	no	—
927	AGL(1,ℤ/8)	—	4	2	no	—
928	#135	—	2	4	no	—
929	#135	—	2	4	no	—
930	#135	—	2	8	no	—
931	#135	—	2	4	no	—
932	#135	D₄×C₆₁	1	8	yes	complemented
933	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
934	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
935	C₂×Q₁₆	C₂³×C₆₁	1	2	yes	—
936	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
937	C₂×Q₁₆	C₂³×C₆₁	1	2	yes	—
938	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
939	C₂×SD₁₆	—	2	8	no	—
940	C₂×SD₁₆	—	2	4	no	—
941	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
942	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
943	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
944	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
945	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
946	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
947	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
948	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
949	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
950	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
951	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
952	C₂×SD₁₆	C₂³×C₆₁	1	2	yes	—
953	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
954	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
955	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
956	C₂×D₈	C₂³×C₆₁	1	2	yes	—
957	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
958	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
959	C₂×D₈	C₂³×C₆₁	1	2	yes	—
960	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
961	#131	—	2	4	no	—
962	C₂×M₁₆	—	2	4	no	—
963	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
964	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
965	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
966	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
967	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
968	C₂×M₁₆	C₂³×C₆₁	1	2	yes	—
969	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
970	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
971	C₂²×C₈	C₂³×C₆₁	1	2	yes	—
972	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
973	C₄⋊Q₈	—	2	2	no	—
974	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
975	#127	—	2	2	no	—
976	#127	C₂³×C₆₁	1	2	yes	—
977	#124	—	2	2	no	—
978	#124	—	2	2	no	—
979	#124	C₂³×C₆₁	1	2	yes	—
980	#124	C₂³×C₆₁	1	2	yes	—
981	#123	—	2	2	no	—
982	#123	—	2	2	no	—
983	#123	—	2	2	no	—
984	#123	—	2	2	no	—
985	#123	—	2	2	no	—
986	#123	D₄×C₆₁	1	2	yes	—
987	C₂²⋊Q₈	—	2	1	no	—
988	C₂²⋊Q₈	—	2	1	no	—
989	C₂²⋊Q₈	—	2	1	no	—
990	C₂²⋊Q₈	—	2	1	no	—
991	C₂²⋊Q₈	—	2	1	no	—
992	C₂²⋊Q₈	—	2	2	no	—
993	C₂²⋊Q₈	—	2	1	no	—
994	C₂²⋊Q₈	—	2	2	no	—
995	C₂²⋊Q₈	—	2	2	no	—
996	C₂²⋊Q₈	—	2	2	no	—
997	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
998	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
999	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1000	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1001	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1002	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1003	#121	—	2	1	no	—
1004	#121	—	2	2	no	—
1005	#121	—	2	1	no	—
1006	#121	—	2	2	no	—
1007	#121	—	2	2	no	—
1008	#121	—	2	2	no	—
1009	#121	—	2	2	no	—
1010	#121	—	2	1	no	—
1011	#121	—	2	1	no	—
1012	#121	—	2	1	no	—
1013	#121	—	2	1	no	—
1014	#121	—	2	2	no	—
1015	#121	—	2	2	no	—
1016	#121	—	2	2	no	—
1017	#121	—	2	2	no	—
1018	#121	—	2	2	no	—
1019	#121	D₄×C₆₁	1	1	yes	characteristic
1020	#121	D₄×C₆₁	1	1	yes	characteristic
1021	#121	C₂³×C₆₁	1	2	yes	—
1022	#121	C₂³×C₆₁	1	2	yes	—
1023	#121	C₂³×C₆₁	1	2	yes	—
1024	#121	C₂³×C₆₁	1	2	yes	—
1025	#120	—	2	2	no	—
1026	#120	—	2	2	no	—
1027	#120	—	2	2	no	—
1028	#120	—	2	2	no	—
1029	#120	—	2	2	no	—
1030	#120	D₄×C₆₁	1	2	yes	—
1031	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1032	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1033	C₄×D₄	—	2	2	no	—
1034	C₄×D₄	—	2	2	no	—
1035	C₄×D₄	—	2	2	no	—
1036	C₄×D₄	—	2	2	no	—
1037	C₄×D₄	—	2	2	no	—
1038	C₄×D₄	—	2	2	no	—
1039	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1040	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1041	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1042	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1043	#117	—	2	1	no	—
1044	#117	—	2	1	no	—
1045	#117	C₂³×C₆₁	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	—	2	1	no	—
1047	C₂×C₄⋊C₄	—	2	1	no	—
1048	C₂×C₄⋊C₄	—	2	1	no	—
1049	C₂×C₄⋊C₄	—	2	2	no	—
1050	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	—	2	1	no	—
1053	C₂×C₂²⋊C₄	—	2	1	no	—
1054	C₂×C₂²⋊C₄	—	2	2	no	—
1055	C₂×C₂²⋊C₄	—	2	2	no	—
1056	#107	C₂³×C₆₁	1	2	yes	—
1057	#107	C₂³×C₆₁	1	2	yes	—
1058	C₄⋊C₈	C₂³×C₆₁	1	2	yes	—
1059	C₄⋊C₈	C₂³×C₆₁	1	2	yes	—
1060	#103	C₂³×C₆₁	1	2	yes	—
1061	#103	C₂³×C₆₁	1	2	yes	—
1062	#103	C₂³×C₆₁	1	2	yes	—
1063	#103	C₂³×C₆₁	1	2	yes	—
1064	#103	C₂³×C₆₁	1	2	yes	—
1065	#103	C₂³×C₆₁	1	2	yes	—
1066	#102	C₂³×C₆₁	1	2	yes	—
1067	#102	C₂³×C₆₁	1	2	yes	—
1068	#102	C₂³×C₆₁	1	2	yes	—
1069	#102	C₂³×C₆₁	1	2	yes	—
1070	#102	C₂³×C₆₁	1	2	yes	—
1071	#102	C₂³×C₆₁	1	2	yes	—
1072	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
1073	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
1074	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
1075	C₂²⋊C₈	C₂³×C₆₁	1	2	yes	—
1076	#97	C₂³×C₆₁	1	2	yes	—
1077	C₄×C₈	C₂³×C₆₁	1	2	yes	—
1078	C₂⁴	—	2	1	no	—
1079	C₂⁴	—	2	1	no	—
1080	C₂⁴	—	2	2	no	—
1081	C₂⁴	—	2	1	no	—
1082	C₂⁴	C₂×D₄×C₆₁	1	1	yes	characteristic
1083	#41	—	2	2	no	—
1084	#41	—	2	2	no	—
1085	#41	—	2	2	no	—
1086	#41	—	2	2	no	—
1087	#41	—	2	4	no	—
1088	#41	—	2	2	no	—
1089	#41	—	2	2	no	—
1090	#41	—	2	4	no	—
1091	#41	—	2	2	no	—
1092	#41	—	2	2	no	—
1093	#41	—	2	2	no	—
1094	#41	—	2	2	no	—
1095	#41	—	2	2	no	—
1096	#41	—	2	2	no	—
1097	#41	—	4	4	no	—
1098	#41	—	4	4	no	—
1099	#41	—	4	1	no	—
1100	#41	—	4	1	no	—
1101	#41	—	4	1	no	—
1102	#41	—	4	1	no	—
1103	#41	—	4	2	no	—
1104	#41	—	4	2	no	—
1105	#41	—	4	4	no	—
1106	#41	—	4	4	no	—
1107	#41	—	4	4	no	—
1108	#41	—	4	4	no	—
1109	#41	—	4	8	no	—
1110	#41	C₂×D₄×C₆₁	1	4	yes	—
1111	#41	C₂×D₄×C₆₁	1	4	yes	complemented
1112	C₂×Q₈	—	2	1	no	—
1113	C₂×Q₈	—	2	1	no	—
1114	C₂×Q₈	—	2	2	no	—
1115	C₂×Q₈	—	2	1	no	—
1116	C₂×Q₈	—	2	4	no	—
1117	C₂×Q₈	—	2	2	no	—
1118	C₂×Q₈	—	2	2	no	—
1119	C₂×Q₈	—	2	2	no	—
1120	C₂×Q₈	—	2	2	no	—
1121	C₂×Q₈	—	4	1	no	—
1122	C₂×Q₈	—	4	1	no	—
1123	C₂×Q₈	—	4	2	no	—
1124	C₂×Q₈	—	4	4	no	—
1125	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1126	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1127	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1128	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1129	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1130	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1131	C₂×D₄	—	2	1	no	—
1132	C₂×D₄	—	2	1	no	—
1133	C₂×D₄	—	2	4	no	—
1134	C₂×D₄	—	2	2	no	—
1135	C₂×D₄	—	2	2	no	—
1136	C₂×D₄	—	2	2	no	—
1137	C₂×D₄	—	2	1	no	—
1138	C₂×D₄	—	2	1	no	—
1139	C₂×D₄	—	2	2	no	—
1140	C₂×D₄	—	2	1	no	—
1141	C₂×D₄	—	2	1	no	—
1142	C₂×D₄	—	2	1	no	—
1143	C₂×D₄	—	2	2	no	—
1144	C₂×D₄	—	2	1	no	—
1145	C₂×D₄	—	2	2	no	—
1146	C₂×D₄	—	2	2	no	—
1147	C₂×D₄	—	2	2	no	—
1148	C₂×D₄	—	2	2	no	—
1149	C₂×D₄	—	2	1	no	—
1150	C₂×D₄	—	2	2	no	—
1151	C₂×D₄	—	2	1	no	—
1152	C₂×D₄	—	2	1	no	—
1153	C₂×D₄	—	2	2	no	—
1154	C₂×D₄	—	2	2	no	—
1155	C₂×D₄	—	2	2	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	4	2	no	—
1159	C₂×D₄	—	4	4	no	—
1160	C₂×D₄	—	4	8	no	—
1161	C₂×D₄	—	4	4	no	—
1162	C₂×D₄	—	4	4	no	—
1163	C₂×D₄	—	8	4	no	—
1164	C₂×D₄	—	8	2	no	—
1165	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
1166	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1167	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
1168	C₂×D₄	C₂×D₄×C₆₁	1	2	yes	—
1169	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1170	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1171	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1172	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1173	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1174	C₂²×C₄	—	2	1	no	—
1175	C₂²×C₄	—	2	1	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	1	no	—
1179	C₂²×C₄	—	2	1	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	1	no	—
1182	C₂²×C₄	—	2	1	no	—
1183	C₂²×C₄	—	2	1	no	—
1184	C₂²×C₄	—	2	1	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	1	no	—
1187	C₂²×C₄	—	2	1	no	—
1188	C₂²×C₄	—	2	2	no	—
1189	C₂²×C₄	—	2	1	no	—
1190	C₂²×C₄	—	2	1	no	—
1191	C₂²×C₄	—	2	1	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	4	4	no	—
1195	C₂²×C₄	—	4	4	no	—
1196	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1197	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1198	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1200	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1203	Q₁₆	—	2	4	no	—
1204	Q₁₆	—	2	2	no	—
1205	Q₁₆	—	2	2	no	—
1206	Q₁₆	—	2	2	no	—
1207	Q₁₆	—	4	2	no	—
1208	Q₁₆	C₂×D₄×C₆₁	1	4	yes	complemented
1209	SD₁₆	—	2	4	no	—
1210	SD₁₆	—	2	2	no	—
1211	SD₁₆	—	2	2	no	—
1212	SD₁₆	—	2	4	no	—
1213	SD₁₆	—	2	2	no	—
1214	SD₁₆	—	2	2	no	—
1215	SD₁₆	—	2	4	no	—
1216	SD₁₆	—	2	4	no	—
1217	SD₁₆	—	2	2	no	—
1218	SD₁₆	—	2	2	no	—
1219	SD₁₆	—	4	2	no	—
1220	SD₁₆	—	4	2	no	—
1221	SD₁₆	C₂×D₄×C₆₁	1	4	yes	complemented
1222	SD₁₆	C₂×D₄×C₆₁	1	4	yes	complemented
1223	D₈	—	2	2	no	—
1224	D₈	—	2	2	no	—
1225	D₈	—	2	4	no	—
1226	D₈	—	2	2	no	—
1227	D₈	—	4	2	no	—
1228	D₈	C₂×D₄×C₆₁	1	4	yes	complemented
1229	M₁₆	—	2	2	no	—
1230	M₁₆	—	2	2	no	—
1231	M₁₆	—	2	2	no	—
1232	M₁₆	—	2	2	no	—
1233	M₁₆	—	2	2	no	—
1234	M₁₆	—	2	2	no	—
1235	M₁₆	—	2	4	no	—
1236	C₂×C₈	—	2	2	no	—
1237	C₂×C₈	—	2	4	no	—
1238	C₂×C₈	C₂×D₄×C₆₁	1	4	yes	complemented
1239	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
1240	C₂×C₈	C₂⁴×C₆₁	1	2	yes	—
1241	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1242	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1243	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1244	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	1	no	—
1247	C₄⋊C₄	—	2	1	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	2	2	no	—
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1256	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
1257	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1258	C₄⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
1259	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1260	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	2	2	no	—
1265	C₂²⋊C₄	—	2	2	no	—
1266	C₂²⋊C₄	—	2	2	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	—	2	2	no	—
1270	C₂²⋊C₄	—	2	2	no	—
1271	C₂²⋊C₄	—	2	2	no	—
1272	C₂²⋊C₄	—	2	2	no	—
1273	C₂²⋊C₄	—	2	2	no	—
1274	C₂²⋊C₄	—	2	2	no	—
1275	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
1276	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
1277	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
1278	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
1279	C₂²⋊C₄	C₂×D₄×C₆₁	1	2	yes	—
1280	C₄²	—	2	2	no	—
1281	C₄²	—	2	2	no	—
1282	C₄²	C₂⁴×C₆₁	1	2	yes	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	2	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	2	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	4	1	no	—
1290	C₂³	—	4	1	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	4	2	no	—
1293	C₂³	—	4	4	no	—
1294	C₂³	—	4	2	no	—
1295	C₂³	—	4	2	no	—
1296	C₂³	—	4	2	no	—
1297	C₂³	—	8	1	no	—
1298	C₂³	—	8	1	no	—
1299	C₂³	—	8	1	no	—
1300	C₂³	—	8	2	no	—
1301	C₂³	—	8	1	no	—
1302	C₂³	—	8	2	no	—
1303	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1304	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1305	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
1306	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1307	Q₈	—	2	2	no	—
1308	Q₈	—	2	1	no	—
1309	Q₈	—	2	1	no	—
1310	Q₈	—	2	2	no	—
1311	Q₈	—	2	1	no	—
1312	Q₈	—	2	1	no	—
1313	Q₈	—	2	1	no	—
1314	Q₈	—	2	2	no	—
1315	Q₈	—	2	1	no	—
1316	Q₈	—	4	4	no	—
1317	Q₈	—	4	2	no	—
1318	Q₈	—	4	2	no	—
1319	Q₈	—	4	2	no	—
1320	Q₈	C₂²×D₄×C₆₁	1	2	yes	—
1321	Q₈	C₂²×D₄×C₆₁	1	2	yes	—
1322	D₄	—	2	4	no	—
1323	D₄	—	2	4	no	—
1324	D₄	—	2	4	no	—
1325	D₄	—	2	2	no	—
1326	D₄	—	2	1	no	—
1327	D₄	—	2	1	no	—
1328	D₄	—	2	2	no	—
1329	D₄	—	2	1	no	—
1330	D₄	—	2	1	no	—
1331	D₄	—	2	1	no	—
1332	D₄	—	2	2	no	—
1333	D₄	—	2	1	no	—
1334	D₄	—	4	2	no	—
1335	D₄	—	4	2	no	—
1336	D₄	—	4	4	no	—
1337	D₄	—	4	2	no	—
1338	D₄	—	4	2	no	—
1339	D₄	—	4	4	no	—
1340	D₄	—	4	2	no	—
1341	D₄	—	4	2	no	—
1342	D₄	—	4	2	no	—
1343	D₄	—	4	2	no	—
1344	D₄	—	4	4	no	—
1345	D₄	—	4	4	no	—
1346	D₄	—	4	2	no	—
1347	D₄	—	4	2	no	—
1348	D₄	—	4	2	no	—
1349	D₄	—	8	2	no	—
1350	D₄	—	8	2	no	—
1351	D₄	—	8	2	no	—
1352	D₄	—	8	2	no	—
1353	D₄	—	8	2	no	—
1354	D₄	C₂²×D₄×C₆₁	1	2	yes	—
1355	D₄	C₂²×D₄×C₆₁	1	2	yes	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	4	no	—
1362	C₂×C₄	—	2	4	no	—
1363	C₂×C₄	—	2	2	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	2	no	—
1369	C₂×C₄	—	2	2	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	4	2	no	—
1375	C₂×C₄	—	4	2	no	—
1376	C₂×C₄	—	4	4	no	—
1377	C₂×C₄	—	4	2	no	—
1378	C₂×C₄	—	4	2	no	—
1379	C₂×C₄	—	4	2	no	—
1380	C₂×C₄	—	4	2	no	—
1381	C₂×C₄	—	4	4	no	—
1382	C₂×C₄	—	4	4	no	—
1383	C₂×C₄	—	4	2	no	—
1384	C₂×C₄	—	4	2	no	—
1385	C₂×C₄	—	4	2	no	—
1386	C₂×C₄	—	8	2	no	—
1387	C₂×C₄	—	8	2	no	—
1388	C₂×C₄	—	8	1	no	—
1389	C₂×C₄	—	8	1	no	—
1390	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1391	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1392	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1393	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1394	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1395	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1396	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1397	C₂×C₄	H(5,𝔽₂)×C₆₁	1	2	yes	—
1398	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1399	C₈	—	2	1	no	—
1400	C₈	—	2	1	no	—
1401	C₈	—	2	2	no	—
1402	C₈	—	2	2	no	—
1403	C₈	C₂²×D₄×C₆₁	1	2	yes	—
1404	C₈	C₂²×D₄×C₆₁	1	2	yes	—
1405	C₂²	—	2	1	no	—
1406	C₂²	—	2	1	no	—
1407	C₂²	—	2	1	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	1	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	1	no	—
1413	C₂²	—	2	1	no	—
1414	C₂²	—	2	1	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	2	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	2	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	2	no	—
1431	C₂²	—	8	2	no	—
1432	C₂²	—	8	4	no	—
1433	C₂²	—	8	4	no	—
1434	C₂²	—	16	2	no	—
1435	C₂²	—	16	4	no	—
1436	C₂²	D₄²×C₆₁	1	2	yes	—
1437	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1438	C₄	—	2	2	no	—
1439	C₄	—	2	2	no	—
1440	C₄	—	2	1	no	—
1441	C₄	—	2	1	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	2	no	—
1444	C₄	—	2	2	no	—
1445	C₄	—	4	2	no	—
1446	C₄	—	4	2	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	2	no	—
1450	C₄	D₄²×C₆₁	1	2	yes	—
1451	C₄	C₂³×D₄×C₆₁	1	1	yes	characteristic
1452	C₄	C₂×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1453	C₂	—	2	2	no	—
1454	C₂	—	4	1	no	—
1455	C₂	—	4	1	no	—
1456	C₂	—	4	2	no	—
1457	C₂	—	4	2	no	—
1458	C₂	—	4	2	no	—
1459	C₂	—	8	1	no	—
1460	C₂	—	8	1	no	—
1461	C₂	—	8	2	no	—
1462	C₂	C₂×D₄²×C₆₁	1	1	yes	characteristic
1463	C₂	C₆₁×#3585	1	1	yes	characteristic
1464	C₂	C₆₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ C₆₁×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₆₁×#577	C₂	semidirect
2. C₂×C₆₁×#575	C₂	semidirect
3. C₆₁×#3489	C₂	semidirect
4. C₆₁×#3488	C₂	semidirect
5. C₆₁×#3278	C₂	semidirect
6. C₆₁×#3277	C₂	semidirect
7. C₆₁×#3273	C₂	semidirect
8. C₆₁×#3272	C₂	semidirect
9. C₆₁×#3269	C₂	semidirect
10. C₆₁×#3268	C₂	semidirect
11. C₆₁×#3266	C₂	semidirect
12. C₆₁×#3265	C₂	semidirect
13. C₆₁×#3154	C₂	semidirect
14. C₆₁×#3061	C₂	semidirect
15. C₂×C₆₁×#468	C₂	semidirect
16. C₆₁×#3046	C₂	semidirect
17. C₆₁×#3045	C₂	semidirect
18. C₆₁×#3013	C₂	semidirect
19. C₆₁×#3012	C₂	semidirect
20. C₆₁×#3007	C₂	semidirect
21. C₆₁×#3006	C₂	semidirect
22. C₆₁×#2951	C₂	semidirect
23. C₆₁×#2930	C₂	semidirect
24. C₂×2₋¹⁺⁴×C₆₁	C₂²	semidirect
25. C₂×H(5,𝔽₂)×C₆₁	C₂²	semidirect
27. C₂²×#41×C₆₁	C₂²	semidirect
30. C₂×#137×C₆₁	C₂²	semidirect
31. C₂×#137×C₆₁	C₂²	semidirect
32. C₂×#137×C₆₁	C₂²	semidirect
33. C₂×#137×C₆₁	C₂²	semidirect
34. C₂×#137×C₆₁	C₂²	semidirect
35. C₂×#137×C₆₁	C₂²	semidirect
36. C₂×#137×C₆₁	C₂²	semidirect
37. C₂×AGL(1,ℤ/8)×C₆₁	C₂²	semidirect
38. C₂×AGL(1,ℤ/8)×C₆₁	C₂²	semidirect
39. C₂×AGL(1,ℤ/8)×C₆₁	C₂²	semidirect
40. C₂×AGL(1,ℤ/8)×C₆₁	C₂²	semidirect
41. C₂×AGL(1,ℤ/8)×C₆₁	C₂²	semidirect
42. C₂×AGL(1,ℤ/8)×C₆₁	C₂²	semidirect
43. C₂×AGL(1,ℤ/8)×C₆₁	C₂²	semidirect
46. C₂×#135×C₆₁	C₂²	semidirect
47. C₂×#135×C₆₁	C₂²	semidirect
48. C₂×#135×C₆₁	C₂²	semidirect
49. C₂²×SD₁₆×C₆₁	C₂²	semidirect
50. C₂²×SD₁₆×C₆₁	C₂²	semidirect
51. C₂×#131×C₆₁	C₂²	semidirect
52. C₂²×M₁₆×C₆₁	C₂²	semidirect
54. D₄×Q₈×C₆₁	C₂²	semidirect
55. C₆₁×#548	C₂²	semidirect
56. C₆₁×#548	C₂²	semidirect
58. C₆₁×#547	C₂²	semidirect
62. C₆₁×#546	C₂²	semidirect
64. D₄²×C₆₁	C₂²	semidirect
67. C₆₁×#537	C₂²	semidirect
68. C₆₁×#537	C₂²	semidirect
70. C₆₁×#536	C₂²	semidirect
72. C₆₁×#535	C₂²	semidirect
77. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
80. C₆₁×#520	C₂²	semidirect
81. C₆₁×#520	C₂²	semidirect
82. C₆₁×#497	C₂²	semidirect
83. C₆₁×#496	C₂²	semidirect
84. C₆₁×#495	C₂²	semidirect
85. C₆₁×#492	C₂²	semidirect
86. C₆₁×#468	C₂²	semidirect
87. C₆₁×#468	C₂²	semidirect
88. C₆₁×#468	C₂²	semidirect
89. C₆₁×#468	C₂²	semidirect
90. C₆₁×#468	C₂²	semidirect
91. C₆₁×#468	C₂²	semidirect
92. C₆₁×#467	C₂²	semidirect
93. C₆₁×#466	C₂²	semidirect
94. C₆₁×#464	C₂²	semidirect
95. C₆₁×#464	C₂²	semidirect
96. C₆₁×#463	C₂²	semidirect
97. C₆₁×#463	C₂²	semidirect
98. C₆₁×#462	C₂²	semidirect
99. C₆₁×#461	C₂²	semidirect
100. C₆₁×#460	C₂²	semidirect
101. C₆₁×#459	C₂²	semidirect
102. C₆₁×#452	C₂²	semidirect
103. C₆₁×#452	C₂²	semidirect
104. C₆₁×#452	C₂²	semidirect
105. C₆₁×#452	C₂²	semidirect
106. C₆₁×#451	C₂²	semidirect
107. C₆₁×#451	C₂²	semidirect
108. C₆₁×#450	C₂²	semidirect
109. C₆₁×#450	C₂²	semidirect
110. C₆₁×#449	C₂²	semidirect
111. C₆₁×#449	C₂²	semidirect
112. C₆₁×#449	C₂²	semidirect
113. C₆₁×#449	C₂²	semidirect
114. C₆₁×#448	C₂²	semidirect
115. C₆₁×#448	C₂²	semidirect
116. C₆₁×#447	C₂²	semidirect
117. C₆₁×#447	C₂²	semidirect
118. C₆₁×#440	C₂²	semidirect
119. C₆₁×#440	C₂²	semidirect
120. C₄×Q₁₆×C₆₁	C₂²	semidirect
121. C₄×D₈×C₆₁	C₂²	semidirect
122. C₆₁×#436	C₂²	semidirect
123. C₆₁×#436	C₂²	semidirect
124. C₆₁×#435	C₂²	semidirect
125. C₆₁×#435	C₂²	semidirect
126. C₂×#107×C₆₁	C₂²	semidirect
127. C₆₁×#424	C₂²	semidirect
128. C₆₁×#417	C₂²	semidirect
129. C₆₁×#417	C₂²	semidirect
130. C₆₁×#417	C₂²	semidirect
131. C₆₁×#417	C₂²	semidirect
132. C₂×#103×C₆₁	C₂²	semidirect
133. C₂×#102×C₆₁	C₂²	semidirect
134. C₆₁×#408	C₂²	semidirect
135. C₆₁×#407	C₂²	semidirect
136. C₆₁×#405	C₂²	semidirect
199. #135×C₆₁	D₄	semidirect
378. #41×C₆₁	C₂×D₄	semidirect
475. Q₁₆×C₆₁	C₂×D₄	semidirect
488. SD₁₆×C₆₁	C₂×D₄	semidirect
489. SD₁₆×C₆₁	C₂×D₄	semidirect
495. D₈×C₆₁	C₂×D₄	semidirect
505. C₂×C₈×C₆₁	C₂×D₄	semidirect
672. #61062	C₆₁	direct (N × H)
721. C₂×#577	C₂×C₆₁	semidirect
722. C₂×#575	C₂×C₆₁	semidirect
723. #3489	C₂×C₆₁	semidirect
724. #3488	C₂×C₆₁	semidirect
725. #3278	C₂×C₆₁	semidirect
726. #3277	C₂×C₆₁	semidirect
727. #3273	C₂×C₆₁	semidirect
728. #3272	C₂×C₆₁	semidirect
729. #3269	C₂×C₆₁	semidirect
730. #3268	C₂×C₆₁	semidirect
731. #3266	C₂×C₆₁	semidirect
732. #3265	C₂×C₆₁	semidirect
733. #3154	C₂×C₆₁	semidirect
734. #3061	C₂×C₆₁	semidirect
735. C₂×#468	C₂×C₆₁	semidirect
736. #3046	C₂×C₆₁	semidirect
737. #3045	C₂×C₆₁	semidirect
738. #3013	C₂×C₆₁	semidirect
739. #3012	C₂×C₆₁	semidirect
740. #3007	C₂×C₆₁	semidirect
741. #3006	C₂×C₆₁	semidirect
742. #2951	C₂×C₆₁	semidirect
743. #2930	C₂×C₆₁	semidirect
756. C₂×2₋¹⁺⁴	C₂²×C₆₁	semidirect
757. C₂×H(5,𝔽₂)	C₂²×C₆₁	semidirect
759. C₂²×#41	C₂²×C₆₁	semidirect
762. C₂×#137	C₂²×C₆₁	semidirect
763. C₂×#137	C₂²×C₆₁	semidirect
764. C₂×#137	C₂²×C₆₁	semidirect
765. C₂×#137	C₂²×C₆₁	semidirect
766. C₂×#137	C₂²×C₆₁	semidirect
767. C₂×#137	C₂²×C₆₁	semidirect
768. C₂×#137	C₂²×C₆₁	semidirect
769. C₂×AGL(1,ℤ/8)	C₂²×C₆₁	semidirect
770. C₂×AGL(1,ℤ/8)	C₂²×C₆₁	semidirect
771. C₂×AGL(1,ℤ/8)	C₂²×C₆₁	semidirect
772. C₂×AGL(1,ℤ/8)	C₂²×C₆₁	semidirect
773. C₂×AGL(1,ℤ/8)	C₂²×C₆₁	semidirect
774. C₂×AGL(1,ℤ/8)	C₂²×C₆₁	semidirect
775. C₂×AGL(1,ℤ/8)	C₂²×C₆₁	semidirect
778. C₂×#135	C₂²×C₆₁	semidirect
779. C₂×#135	C₂²×C₆₁	semidirect
780. C₂×#135	C₂²×C₆₁	semidirect
781. C₂²×SD₁₆	C₂²×C₆₁	semidirect
782. C₂²×SD₁₆	C₂²×C₆₁	semidirect
783. C₂×#131	C₂²×C₆₁	semidirect
784. C₂²×M₁₆	C₂²×C₆₁	semidirect
786. D₄×Q₈	C₂²×C₆₁	semidirect
787. #548	C₂²×C₆₁	semidirect
788. #548	C₂²×C₆₁	semidirect
790. #547	C₂²×C₆₁	semidirect
794. #546	C₂²×C₆₁	semidirect
796. D₄²	C₂²×C₆₁	semidirect
799. #537	C₂²×C₆₁	semidirect
800. #537	C₂²×C₆₁	semidirect
802. #536	C₂²×C₆₁	semidirect
804. #535	C₂²×C₆₁	semidirect
809. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
812. #520	C₂²×C₆₁	semidirect
813. #520	C₂²×C₆₁	semidirect
814. #497	C₂²×C₆₁	semidirect
815. #496	C₂²×C₆₁	semidirect
816. #495	C₂²×C₆₁	semidirect
817. #492	C₂²×C₆₁	semidirect
818. #468	C₂²×C₆₁	semidirect
819. #468	C₂²×C₆₁	semidirect
820. #468	C₂²×C₆₁	semidirect
821. #468	C₂²×C₆₁	semidirect
822. #468	C₂²×C₆₁	semidirect
823. #468	C₂²×C₆₁	semidirect
824. #467	C₂²×C₆₁	semidirect
825. #466	C₂²×C₆₁	semidirect
826. #464	C₂²×C₆₁	semidirect
827. #464	C₂²×C₆₁	semidirect
828. #463	C₂²×C₆₁	semidirect
829. #463	C₂²×C₆₁	semidirect
830. #462	C₂²×C₆₁	semidirect
831. #461	C₂²×C₆₁	semidirect
832. #460	C₂²×C₆₁	semidirect
833. #459	C₂²×C₆₁	semidirect
834. #452	C₂²×C₆₁	semidirect
835. #452	C₂²×C₆₁	semidirect
836. #452	C₂²×C₆₁	semidirect
837. #452	C₂²×C₆₁	semidirect
838. #451	C₂²×C₆₁	semidirect
839. #451	C₂²×C₆₁	semidirect
840. #450	C₂²×C₆₁	semidirect
841. #450	C₂²×C₆₁	semidirect
842. #449	C₂²×C₆₁	semidirect
843. #449	C₂²×C₆₁	semidirect
844. #449	C₂²×C₆₁	semidirect
845. #449	C₂²×C₆₁	semidirect
846. #448	C₂²×C₆₁	semidirect
847. #448	C₂²×C₆₁	semidirect
848. #447	C₂²×C₆₁	semidirect
849. #447	C₂²×C₆₁	semidirect
850. #440	C₂²×C₆₁	semidirect
851. #440	C₂²×C₆₁	semidirect
852. C₄×Q₁₆	C₂²×C₆₁	semidirect
853. C₄×D₈	C₂²×C₆₁	semidirect
854. #436	C₂²×C₆₁	semidirect
855. #436	C₂²×C₆₁	semidirect
856. #435	C₂²×C₆₁	semidirect
857. #435	C₂²×C₆₁	semidirect
858. C₂×#107	C₂²×C₆₁	semidirect
859. #424	C₂²×C₆₁	semidirect
860. #417	C₂²×C₆₁	semidirect
861. #417	C₂²×C₆₁	semidirect
862. #417	C₂²×C₆₁	semidirect
863. #417	C₂²×C₆₁	semidirect
864. C₂×#103	C₂²×C₆₁	semidirect
865. C₂×#102	C₂²×C₆₁	semidirect
866. #408	C₂²×C₆₁	semidirect
867. #407	C₂²×C₆₁	semidirect
868. #405	C₂²×C₆₁	semidirect
869. C₆₁	#61062	direct (N × H)
932. #135	D₄×C₆₁	semidirect
1111. #41	C₂×D₄×C₆₁	semidirect
1208. Q₁₆	C₂×D₄×C₆₁	semidirect
1221. SD₁₆	C₂×D₄×C₆₁	semidirect
1222. SD₁₆	C₂×D₄×C₆₁	semidirect
1228. D₈	C₂×D₄×C₆₁	semidirect
1238. C₂×C₈	C₂×D₄×C₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₆₁×#577	2
C₂×C₆₁×#575	2
C₆₁×#3489	2
C₆₁×#3488	2
C₆₁×#3278	2
C₆₁×#3277	2
C₆₁×#3273	2
C₆₁×#3272	2
C₆₁×#3269	2
C₆₁×#3268	2
C₆₁×#3266	2
C₆₁×#3265	2
C₆₁×#3154	2
C₆₁×#3061	2
C₂×C₆₁×#468	2
C₆₁×#3046	2
C₆₁×#3045	2
C₆₁×#3013	2
C₆₁×#3012	2
C₆₁×#3007	2
C₆₁×#3006	2
C₆₁×#2951	2
C₆₁×#2930	2
#61062	61

Subgroups — C61×#61062 #29564495

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61062 #29564495