Subgroups — C₂×C₆₁×#3542 #29566152

Order 15616.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3542	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₆₁×#562	C₂	1	2	yes	maximal, complemented
3	C₂×C₆₁×#560	C₂	1	2	yes	maximal, complemented
4	C₂×C₆₁×#555	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₆₁×#553	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₆₁×#552	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₆₁×#551	C₂	1	2	yes	maximal, complemented
8	C₂×C₆₁×#550	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₆₁×#547	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₆₁×#546	C₂	1	2	yes	maximal, complemented
11	C₂×C₆₁×#546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₆₁×#546	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₄²×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₆₁×#542	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₆₁×#540	C₂	1	2	yes	maximal, complemented
16	C₂×C₆₁×#540	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₆₁×#538	C₂	1	2	yes	maximal, complemented
18	C₂×C₆₁×#537	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₆₁×#535	C₂	1	2	yes	maximal, complemented
20	C₂×C₆₁×#535	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₆₁×#534	C₂	1	2	yes	maximal, complemented
22	C₂×C₆₁×#525	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₆₁×#525	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#121×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#41×C₆₁	C₂²	1	2	yes	complemented
28	C₂²×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
29	C₂³×D₄×C₆₁	C₂²	1	1	yes	characteristic
30	C₂³×D₄×C₆₁	C₂²	1	2	yes	—
31	C₂³×D₄×C₆₁	C₂²	1	2	yes	complemented
32	C₂³×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
33	C₂⁴×C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
34	C₆₁×#562	C₂²	1	32	yes	complemented
35	C₆₁×#560	C₂²	1	32	yes	complemented
36	C₆₁×#555	C₂²	1	16	yes	complemented
37	C₆₁×#553	C₂²	1	16	yes	complemented
38	C₆₁×#552	C₂²	1	16	yes	complemented
39	C₆₁×#551	C₂²	1	32	yes	complemented
40	C₆₁×#550	C₂²	1	16	yes	complemented
41	C₆₁×#547	C₂²	1	16	yes	complemented
42	C₆₁×#546	C₂²	1	32	yes	complemented
43	C₆₁×#546	C₂²	1	16	yes	complemented
44	C₆₁×#546	C₂²	1	16	yes	complemented
45	D₄²×C₆₁	C₂²	1	16	yes	complemented
46	C₆₁×#542	C₂²	1	16	yes	complemented
47	C₆₁×#540	C₂²	1	16	yes	complemented
48	C₆₁×#540	C₂²	1	32	yes	complemented
49	C₆₁×#538	C₂²	1	32	yes	complemented
50	C₆₁×#537	C₂²	1	16	yes	complemented
51	C₆₁×#535	C₂²	1	32	yes	complemented
52	C₆₁×#535	C₂²	1	16	yes	complemented
53	C₆₁×#534	C₂²	1	32	yes	complemented
54	C₂×C₄⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
55	C₂×#127×C₆₁	C₂²	1	2	yes	complemented
56	C₂×#127×C₆₁	C₂²	1	2	yes	complemented
57	C₂×#127×C₆₁	C₂²	1	1	yes	characteristic, complemented
58	C₂×#126×C₆₁	C₂²	1	2	yes	complemented
59	C₂×#126×C₆₁	C₂²	1	2	yes	complemented
60	C₂×#126×C₆₁	C₂²	1	2	yes	complemented
61	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic, complemented
62	C₂×#125×C₆₁	C₂²	1	2	yes	complemented
63	C₂×#124×C₆₁	C₂²	1	2	yes	complemented
64	C₂×#124×C₆₁	C₂²	1	2	yes	complemented
65	C₂×#124×C₆₁	C₂²	1	2	yes	complemented
66	C₂×#124×C₆₁	C₂²	1	2	yes	complemented
67	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic, complemented
68	C₆₁×#525	C₂²	1	16	yes	complemented
69	C₆₁×#525	C₂²	1	16	yes	complemented
70	C₂×#123×C₆₁	C₂²	1	2	yes	—
71	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic, complemented
72	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic, complemented
73	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
74	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
75	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
76	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
77	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
78	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
79	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
80	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
81	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
82	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
88	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
89	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
90	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
91	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
92	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
93	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
94	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic, complemented
95	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
96	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic, complemented
97	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
98	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic, complemented
99	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic, complemented
100	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
101	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
102	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
103	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
104	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
105	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
106	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic, complemented
107	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
108	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic, complemented
109	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
110	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic, complemented
111	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
112	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
113	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
114	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
115	C₂×#121×C₆₁	C₂²	1	16	yes	complemented
116	C₂×#120×C₆₁	C₂²	1	1	yes	characteristic
117	C₂×#120×C₆₁	C₂²	1	2	yes	—
118	C₂×#120×C₆₁	C₂²	1	2	yes	complemented
119	C₂×#120×C₆₁	C₂²	1	1	yes	characteristic, complemented
120	C₂×#120×C₆₁	C₂²	1	2	yes	complemented
121	C₂×#120×C₆₁	C₂²	1	2	yes	complemented
122	C₂×#120×C₆₁	C₂²	1	2	yes	complemented
123	C₂×#120×C₆₁	C₂²	1	2	yes	complemented
124	C₂×#120×C₆₁	C₂²	1	2	yes	complemented
125	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
127	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	complemented
128	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	complemented
130	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	complemented
133	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	complemented
135	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
137	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic, complemented
138	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic, complemented
139	C₂×#117×C₆₁	C₂²	1	2	yes	complemented
140	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic, complemented
141	C₂×#117×C₆₁	C₂²	1	2	yes	complemented
142	C₂²×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
143	C₂²×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
144	C₂²×C₂²⋊C₄×C₆₁	C₂²	1	2	yes	complemented
145	C₂²×C₂²⋊C₄×C₆₁	C₂²	1	2	yes	complemented
146	C₂²×C₂²⋊C₄×C₆₁	C₂²	1	2	yes	complemented
147	C₂⁵×C₆₁	C₂³	1	1	yes	characteristic
148	C₂⁵×C₆₁	C₂³	1	2	yes	—
149	C₂⁵×C₆₁	C₂³	1	2	yes	—
150	C₂×#41×C₆₁	—	4	4	no	—
151	C₂×#41×C₆₁	—	4	8	no	—
152	C₂×#41×C₆₁	—	4	4	no	—
153	C₂×#41×C₆₁	—	4	4	no	—
154	C₂×#41×C₆₁	C₂³	1	8	yes	complemented
155	C₂×#41×C₆₁	C₂³	1	16	yes	complemented
156	C₂×#41×C₆₁	C₂³	1	8	yes	complemented
157	C₂×#41×C₆₁	C₂³	1	8	yes	complemented
158	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
159	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
160	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
161	C₂²×D₄×C₆₁	—	4	4	no	—
162	C₂²×D₄×C₆₁	—	4	4	no	—
163	C₂²×D₄×C₆₁	—	4	8	no	—
164	C₂²×D₄×C₆₁	—	4	8	no	—
165	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
166	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
167	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
168	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
169	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
170	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
171	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
172	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
173	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
174	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
175	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
176	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
177	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
178	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
179	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
180	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
181	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
182	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
183	C₂²×D₄×C₆₁	C₂³	1	16	yes	—
184	C₂²×D₄×C₆₁	C₂³	1	8	yes	—
185	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
186	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
187	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
188	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
189	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₆₁	C₂³	1	16	yes	complemented
193	C₂²×D₄×C₆₁	C₂³	1	8	yes	complemented
194	C₂³×C₄×C₆₁	—	4	4	no	—
195	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
199	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
205	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
206	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
207	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
208	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
209	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
210	C₂³×C₄×C₆₁	C₂³	1	8	yes	complemented
211	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	complemented
212	#127×C₆₁	C₂³	1	16	yes	complemented
213	#127×C₆₁	C₂³	1	16	yes	complemented
214	#127×C₆₁	C₂³	1	8	yes	complemented
215	#126×C₆₁	C₂³	1	16	yes	complemented
216	#126×C₆₁	C₂³	1	16	yes	complemented
217	#126×C₆₁	C₂³	1	16	yes	complemented
218	#125×C₆₁	C₂³	1	8	yes	complemented
219	#125×C₆₁	C₂³	1	16	yes	complemented
220	#124×C₆₁	C₂³	1	16	yes	complemented
221	#124×C₆₁	C₂³	1	16	yes	complemented
222	#124×C₆₁	C₂³	1	16	yes	complemented
223	#124×C₆₁	C₂³	1	16	yes	complemented
224	#124×C₆₁	C₂³	1	8	yes	complemented
225	#123×C₆₁	C₂³	1	16	yes	—
226	#123×C₆₁	C₂³	1	16	yes	complemented
227	#123×C₆₁	C₂³	1	16	yes	complemented
228	#123×C₆₁	C₂³	1	16	yes	complemented
229	#123×C₆₁	C₂³	1	8	yes	complemented
230	#123×C₆₁	C₂³	1	16	yes	complemented
231	#123×C₆₁	C₂³	1	8	yes	complemented
232	#123×C₆₁	C₂³	1	16	yes	complemented
233	#123×C₆₁	C₂³	1	16	yes	complemented
234	#123×C₆₁	C₂³	1	16	yes	complemented
235	#123×C₆₁	C₂³	1	16	yes	complemented
236	#123×C₆₁	C₂³	1	16	yes	complemented
237	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	complemented
238	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	complemented
239	C₂²⋊Q₈×C₆₁	C₂³	1	16	yes	complemented
240	C₂²⋊Q₈×C₆₁	C₂³	1	16	yes	complemented
241	C₂²⋊Q₈×C₆₁	C₂³	1	16	yes	complemented
242	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	complemented
243	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	complemented
244	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	complemented
245	#121×C₆₁	C₂³	1	8	yes	—
246	#121×C₆₁	C₂³	1	8	yes	—
247	#121×C₆₁	C₂³	1	8	yes	—
248	#121×C₆₁	C₂³	1	8	yes	—
249	#121×C₆₁	C₂³	1	16	yes	complemented
250	#121×C₆₁	C₂³	1	16	yes	complemented
251	#121×C₆₁	C₂³	1	16	yes	complemented
252	#121×C₆₁	C₂³	1	16	yes	complemented
253	#121×C₆₁	C₂³	1	16	yes	complemented
254	#121×C₆₁	C₂³	1	16	yes	complemented
255	#121×C₆₁	C₂³	1	8	yes	complemented
256	#121×C₆₁	C₂³	1	8	yes	complemented
257	#121×C₆₁	C₂³	1	16	yes	complemented
258	#121×C₆₁	C₂³	1	8	yes	complemented
259	#121×C₆₁	C₂³	1	16	yes	complemented
260	#121×C₆₁	C₂³	1	8	yes	complemented
261	#121×C₆₁	C₂³	1	8	yes	complemented
262	#121×C₆₁	C₂³	1	16	yes	complemented
263	#121×C₆₁	C₂³	1	16	yes	complemented
264	#121×C₆₁	C₂³	1	16	yes	complemented
265	#121×C₆₁	C₂³	1	16	yes	complemented
266	#121×C₆₁	C₂³	1	16	yes	complemented
267	#121×C₆₁	C₂³	1	8	yes	complemented
268	#121×C₆₁	C₂³	1	8	yes	complemented
269	#121×C₆₁	C₂³	1	16	yes	complemented
270	#120×C₆₁	C₂³	1	8	yes	—
271	#120×C₆₁	C₂³	1	16	yes	—
272	#120×C₆₁	C₂³	1	16	yes	complemented
273	#120×C₆₁	C₂³	1	16	yes	complemented
274	#120×C₆₁	C₂³	1	16	yes	complemented
275	#120×C₆₁	C₂³	1	8	yes	complemented
276	#120×C₆₁	C₂³	1	16	yes	complemented
277	#120×C₆₁	C₂³	1	16	yes	complemented
278	#120×C₆₁	C₂³	1	16	yes	complemented
279	C₄×Q₈×C₆₁	C₂³	1	8	yes	complemented
280	C₄×D₄×C₆₁	C₂³	1	8	yes	—
281	C₄×D₄×C₆₁	C₂³	1	16	yes	complemented
282	C₄×D₄×C₆₁	C₂³	1	16	yes	complemented
283	C₄×D₄×C₆₁	C₂³	1	8	yes	complemented
284	C₄×D₄×C₆₁	C₂³	1	16	yes	complemented
285	C₄×D₄×C₆₁	C₂³	1	8	yes	complemented
286	C₄×D₄×C₆₁	C₂³	1	8	yes	complemented
287	C₄×D₄×C₆₁	C₂³	1	8	yes	complemented
288	C₄×D₄×C₆₁	C₂³	1	16	yes	complemented
289	C₄×D₄×C₆₁	C₂³	1	8	yes	complemented
290	C₄×D₄×C₆₁	C₂³	1	8	yes	complemented
291	#117×C₆₁	C₂³	1	16	yes	complemented
292	#117×C₆₁	C₂³	1	8	yes	complemented
293	#117×C₆₁	C₂³	1	8	yes	complemented
294	#117×C₆₁	C₂³	1	16	yes	complemented
295	#117×C₆₁	C₂³	1	8	yes	complemented
296	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
299	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
301	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
302	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
306	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
307	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
311	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
312	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
313	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
315	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	complemented
316	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	complemented
317	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
319	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
321	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
322	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
323	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
324	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
325	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
326	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
327	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
328	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
330	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
332	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
333	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
337	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
339	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
340	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₆₁	C₂³	1	16	yes	complemented
347	C₂×C₂²⋊C₄×C₆₁	C₂³	1	16	yes	complemented
348	C₂×C₂²⋊C₄×C₆₁	C₂³	1	16	yes	complemented
349	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
350	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
352	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
354	C₂⁴×C₆₁	—	2	4	no	—
355	C₂⁴×C₆₁	—	2	8	no	—
356	C₂⁴×C₆₁	—	4	2	no	—
357	C₂⁴×C₆₁	—	4	2	no	—
358	C₂⁴×C₆₁	—	4	4	no	—
359	C₂⁴×C₆₁	—	4	4	no	—
360	C₂⁴×C₆₁	—	4	4	no	—
361	C₂⁴×C₆₁	—	4	4	no	—
362	C₂⁴×C₆₁	—	4	4	no	—
363	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
364	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
365	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
368	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
369	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
370	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₆₁	C₂⁴	1	8	yes	—
372	C₂⁴×C₆₁	C₂⁴	1	4	yes	—
373	C₂⁴×C₆₁	C₂⁴	1	8	yes	—
374	#41×C₆₁	—	4	16	no	—
375	#41×C₆₁	—	4	32	no	—
376	#41×C₆₁	—	4	16	no	—
377	#41×C₆₁	—	4	16	no	—
378	C₂×Q₈×C₆₁	—	2	4	no	—
379	C₂×Q₈×C₆₁	—	4	2	no	—
380	C₂×Q₈×C₆₁	—	4	4	no	—
381	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
382	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
383	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
384	C₂×D₄×C₆₁	—	2	4	no	—
385	C₂×D₄×C₆₁	—	2	8	no	—
386	C₂×D₄×C₆₁	—	2	4	no	—
387	C₂×D₄×C₆₁	—	2	4	no	—
388	C₂×D₄×C₆₁	—	2	4	no	—
389	C₂×D₄×C₆₁	—	2	4	no	—
390	C₂×D₄×C₆₁	—	4	16	no	—
391	C₂×D₄×C₆₁	—	4	16	no	—
392	C₂×D₄×C₆₁	—	4	4	no	—
393	C₂×D₄×C₆₁	—	4	4	no	—
394	C₂×D₄×C₆₁	—	4	4	no	—
395	C₂×D₄×C₆₁	—	4	4	no	—
396	C₂×D₄×C₆₁	—	4	4	no	—
397	C₂×D₄×C₆₁	—	4	4	no	—
398	C₂×D₄×C₆₁	—	4	4	no	—
399	C₂×D₄×C₆₁	—	4	4	no	—
400	C₂×D₄×C₆₁	—	4	32	no	—
401	C₂×D₄×C₆₁	—	4	2	no	—
402	C₂×D₄×C₆₁	—	4	4	no	—
403	C₂×D₄×C₆₁	—	4	4	no	—
404	C₂×D₄×C₆₁	—	4	4	no	—
405	C₂×D₄×C₆₁	—	4	2	no	—
406	C₂×D₄×C₆₁	—	4	2	no	—
407	C₂×D₄×C₆₁	—	4	2	no	—
408	C₂×D₄×C₆₁	—	4	2	no	—
409	C₂×D₄×C₆₁	—	4	4	no	—
410	C₂×D₄×C₆₁	—	4	4	no	—
411	C₂×D₄×C₆₁	—	4	4	no	—
412	C₂×D₄×C₆₁	—	4	32	no	—
413	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
414	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
415	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
416	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
417	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
418	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
419	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
420	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
421	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
422	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
423	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
424	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
425	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
426	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
427	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
428	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
429	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
430	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
431	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
432	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
433	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
434	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
435	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
436	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
437	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
438	C₂²×C₄×C₆₁	—	2	8	no	—
439	C₂²×C₄×C₆₁	—	2	4	no	—
440	C₂²×C₄×C₆₁	—	2	4	no	—
441	C₂²×C₄×C₆₁	—	2	4	no	—
442	C₂²×C₄×C₆₁	—	2	4	no	—
443	C₂²×C₄×C₆₁	—	2	4	no	—
444	C₂²×C₄×C₆₁	—	4	16	no	—
445	C₂²×C₄×C₆₁	—	4	2	no	—
446	C₂²×C₄×C₆₁	—	4	2	no	—
447	C₂²×C₄×C₆₁	—	4	2	no	—
448	C₂²×C₄×C₆₁	—	4	4	no	—
449	C₂²×C₄×C₆₁	—	4	4	no	—
450	C₂²×C₄×C₆₁	—	4	4	no	—
451	C₂²×C₄×C₆₁	—	4	4	no	—
452	C₂²×C₄×C₆₁	—	4	4	no	—
453	C₂²×C₄×C₆₁	—	4	4	no	—
454	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
455	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
456	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
457	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
458	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
459	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
460	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
462	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
465	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
468	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
473	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
475	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
476	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
477	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
478	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
479	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
480	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
481	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
482	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
484	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
485	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
486	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
487	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
488	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
489	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
490	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
491	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
492	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
493	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
494	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
495	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
496	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
497	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
498	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
499	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
500	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
501	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
502	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
504	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
505	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
506	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
507	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
508	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
509	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
510	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
511	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
512	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
513	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
514	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
515	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
516	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
517	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
518	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
519	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
520	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
521	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
522	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
523	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
524	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
525	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
526	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
527	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
528	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
529	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
530	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
531	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
532	C₄²×C₆₁	C₂⁴	1	8	yes	—
533	C₄²×C₆₁	C₂⁴	1	8	yes	—
534	C₄²×C₆₁	C₂⁴	1	4	yes	—
535	C₄²×C₆₁	C₂⁴	1	4	yes	—
536	C₄²×C₆₁	C₂⁴	1	8	yes	—
537	C₂³×C₆₁	—	2	2	no	—
538	C₂³×C₆₁	—	2	2	no	—
539	C₂³×C₆₁	—	2	2	no	—
540	C₂³×C₆₁	—	2	2	no	—
541	C₂³×C₆₁	—	2	2	no	—
542	C₂³×C₆₁	—	2	2	no	—
543	C₂³×C₆₁	—	2	2	no	—
544	C₂³×C₆₁	—	2	4	no	—
545	C₂³×C₆₁	—	2	4	no	—
546	C₂³×C₆₁	—	2	4	no	—
547	C₂³×C₆₁	—	2	4	no	—
548	C₂³×C₆₁	—	2	2	no	—
549	C₂³×C₆₁	—	2	4	no	—
550	C₂³×C₆₁	—	2	8	no	—
551	C₂³×C₆₁	—	2	2	no	—
552	C₂³×C₆₁	—	2	2	no	—
553	C₂³×C₆₁	—	2	4	no	—
554	C₂³×C₆₁	—	2	4	no	—
555	C₂³×C₆₁	—	2	2	no	—
556	C₂³×C₆₁	—	2	2	no	—
557	C₂³×C₆₁	—	2	2	no	—
558	C₂³×C₆₁	—	2	4	no	—
559	C₂³×C₆₁	—	2	2	no	—
560	C₂³×C₆₁	—	2	4	no	—
561	C₂³×C₆₁	—	2	16	no	—
562	C₂³×C₆₁	—	4	4	no	—
563	C₂³×C₆₁	—	4	4	no	—
564	C₂³×C₆₁	—	4	8	no	—
565	C₂³×C₆₁	—	4	8	no	—
566	C₂³×C₆₁	—	4	8	no	—
567	C₂³×C₆₁	—	4	8	no	—
568	C₂³×C₆₁	—	4	8	no	—
569	C₂³×C₆₁	—	4	16	no	—
570	C₂³×C₆₁	—	8	16	no	—
571	C₂³×C₆₁	—	8	16	no	—
572	C₂³×C₆₁	H(5,𝔽₂)	1	4	yes	—
573	C₂³×C₆₁	C₂⁵	1	2	yes	—
574	C₂³×C₆₁	C₂⁵	1	4	yes	—
575	C₂³×C₆₁	C₂⁵	1	2	yes	—
576	C₂³×C₆₁	C₂⁵	1	2	yes	—
577	C₂³×C₆₁	C₂⁵	1	4	yes	—
578	C₂³×C₆₁	C₂⁵	1	4	yes	—
579	C₂³×C₆₁	C₂⁵	1	2	yes	—
580	C₂³×C₆₁	C₂⁵	1	2	yes	—
581	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
582	Q₈×C₆₁	—	2	8	no	—
583	Q₈×C₆₁	—	4	4	no	—
584	Q₈×C₆₁	—	4	8	no	—
585	D₄×C₆₁	—	2	8	no	—
586	D₄×C₆₁	—	2	16	no	—
587	D₄×C₆₁	—	2	8	no	—
588	D₄×C₆₁	—	2	8	no	—
589	D₄×C₆₁	—	2	8	no	—
590	D₄×C₆₁	—	2	8	no	—
591	D₄×C₆₁	—	4	8	no	—
592	D₄×C₆₁	—	4	8	no	—
593	D₄×C₆₁	—	4	8	no	—
594	D₄×C₆₁	—	4	8	no	—
595	D₄×C₆₁	—	4	8	no	—
596	D₄×C₆₁	—	4	8	no	—
597	D₄×C₆₁	—	4	8	no	—
598	D₄×C₆₁	—	4	8	no	—
599	D₄×C₆₁	—	4	4	no	—
600	D₄×C₆₁	—	4	8	no	—
601	D₄×C₆₁	—	4	8	no	—
602	D₄×C₆₁	—	4	8	no	—
603	D₄×C₆₁	—	4	4	no	—
604	D₄×C₆₁	—	4	4	no	—
605	D₄×C₆₁	—	4	4	no	—
606	D₄×C₆₁	—	4	4	no	—
607	D₄×C₆₁	—	4	8	no	—
608	D₄×C₆₁	—	4	8	no	—
609	D₄×C₆₁	—	4	8	no	—
610	C₂×C₄×C₆₁	—	2	2	no	—
611	C₂×C₄×C₆₁	—	2	4	no	—
612	C₂×C₄×C₆₁	—	2	2	no	—
613	C₂×C₄×C₆₁	—	2	2	no	—
614	C₂×C₄×C₆₁	—	2	2	no	—
615	C₂×C₄×C₆₁	—	2	4	no	—
616	C₂×C₄×C₆₁	—	2	2	no	—
617	C₂×C₄×C₆₁	—	2	16	no	—
618	C₂×C₄×C₆₁	—	2	2	no	—
619	C₂×C₄×C₆₁	—	2	4	no	—
620	C₂×C₄×C₆₁	—	2	2	no	—
621	C₂×C₄×C₆₁	—	2	4	no	—
622	C₂×C₄×C₆₁	—	2	2	no	—
623	C₂×C₄×C₆₁	—	2	4	no	—
624	C₂×C₄×C₆₁	—	2	2	no	—
625	C₂×C₄×C₆₁	—	2	8	no	—
626	C₂×C₄×C₆₁	—	2	8	no	—
627	C₂×C₄×C₆₁	—	2	8	no	—
628	C₂×C₄×C₆₁	—	2	8	no	—
629	C₂×C₄×C₆₁	—	2	8	no	—
630	C₂×C₄×C₆₁	—	4	4	no	—
631	C₂×C₄×C₆₁	—	4	4	no	—
632	C₂×C₄×C₆₁	—	4	4	no	—
633	C₂×C₄×C₆₁	—	4	8	no	—
634	C₂×C₄×C₆₁	—	4	8	no	—
635	C₂×C₄×C₆₁	—	4	8	no	—
636	C₂×C₄×C₆₁	—	4	8	no	—
637	C₂×C₄×C₆₁	—	4	8	no	—
638	C₂×C₄×C₆₁	—	4	8	no	—
639	C₂×C₄×C₆₁	H(5,𝔽₂)	1	4	yes	—
640	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
641	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
642	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
643	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
644	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
645	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
646	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
647	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
648	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
649	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
650	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
651	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
652	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
653	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
654	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
655	C₂×#3542	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
656	C₂²×C₆₁	—	2	2	no	—
657	C₂²×C₆₁	—	2	2	no	—
658	C₂²×C₆₁	—	2	8	no	—
659	C₂²×C₆₁	—	2	2	no	—
660	C₂²×C₆₁	—	2	2	no	—
661	C₂²×C₆₁	—	2	2	no	—
662	C₂²×C₆₁	—	2	2	no	—
663	C₂²×C₆₁	—	2	2	no	—
664	C₂²×C₆₁	—	2	4	no	—
665	C₂²×C₆₁	—	2	4	no	—
666	C₂²×C₆₁	—	2	4	no	—
667	C₂²×C₆₁	—	2	4	no	—
668	C₂²×C₆₁	—	2	2	no	—
669	C₂²×C₆₁	—	2	4	no	—
670	C₂²×C₆₁	—	2	2	no	—
671	C₂²×C₆₁	—	2	2	no	—
672	C₂²×C₆₁	—	2	4	no	—
673	C₂²×C₆₁	—	2	4	no	—
674	C₂²×C₆₁	—	2	2	no	—
675	C₂²×C₆₁	—	2	2	no	—
676	C₂²×C₆₁	—	2	2	no	—
677	C₂²×C₆₁	—	2	4	no	—
678	C₂²×C₆₁	—	2	2	no	—
679	C₂²×C₆₁	—	2	4	no	—
680	C₂²×C₆₁	—	4	16	no	—
681	C₂²×C₆₁	—	4	4	no	—
682	C₂²×C₆₁	—	4	4	no	—
683	C₂²×C₆₁	—	4	4	no	—
684	C₂²×C₆₁	—	4	8	no	—
685	C₂²×C₆₁	—	4	8	no	—
686	C₂²×C₆₁	—	4	4	no	—
687	C₂²×C₆₁	—	4	8	no	—
688	C₂²×C₆₁	—	8	16	no	—
689	C₂²×C₆₁	—	8	16	no	—
690	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	4	yes	—
691	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
692	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
693	C₂²×C₆₁	#585	1	2	yes	—
694	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
695	C₄×C₆₁	—	2	2	no	—
696	C₄×C₆₁	—	2	4	no	—
697	C₄×C₆₁	—	2	2	no	—
698	C₄×C₆₁	—	2	2	no	—
699	C₄×C₆₁	—	2	2	no	—
700	C₄×C₆₁	—	2	4	no	—
701	C₄×C₆₁	—	2	2	no	—
702	C₄×C₆₁	—	2	2	no	—
703	C₄×C₆₁	—	2	4	no	—
704	C₄×C₆₁	—	2	2	no	—
705	C₄×C₆₁	—	2	4	no	—
706	C₄×C₆₁	—	2	2	no	—
707	C₄×C₆₁	—	2	4	no	—
708	C₄×C₆₁	—	2	2	no	—
709	C₄×C₆₁	C₂×H(5,𝔽₂)	1	4	yes	—
710	#3542	C₂×C₆₁	1	32	yes	direct product factor
711	C₂×#562	C₂×C₆₁	1	2	yes	complemented
712	C₂×#560	C₂×C₆₁	1	2	yes	complemented
713	C₂×#555	C₂×C₆₁	1	1	yes	characteristic, complemented
714	C₂×#553	C₂×C₆₁	1	1	yes	characteristic, complemented
715	C₂×#552	C₂×C₆₁	1	1	yes	characteristic, complemented
716	C₂×#551	C₂×C₆₁	1	2	yes	complemented
717	C₂×#550	C₂×C₆₁	1	1	yes	characteristic, complemented
718	C₂×#547	C₂×C₆₁	1	1	yes	characteristic, complemented
719	C₂×#546	C₂×C₆₁	1	2	yes	complemented
720	C₂×#546	C₂×C₆₁	1	1	yes	characteristic, complemented
721	C₂×#546	C₂×C₆₁	1	1	yes	characteristic, complemented
722	C₂×D₄²	C₂×C₆₁	1	1	yes	characteristic, complemented
723	C₂×#542	C₂×C₆₁	1	1	yes	characteristic, complemented
724	C₂×#540	C₂×C₆₁	1	1	yes	characteristic, complemented
725	C₂×#540	C₂×C₆₁	1	2	yes	complemented
726	C₂×#538	C₂×C₆₁	1	2	yes	complemented
727	C₂×#537	C₂×C₆₁	1	1	yes	characteristic, complemented
728	C₂×#535	C₂×C₆₁	1	2	yes	complemented
729	C₂×#535	C₂×C₆₁	1	1	yes	characteristic, complemented
730	C₂×#534	C₂×C₆₁	1	2	yes	complemented
731	C₂×#525	C₂×C₆₁	1	1	yes	characteristic, complemented
732	C₂×#525	C₂×C₆₁	1	1	yes	characteristic, complemented
733	C₂²×#121	C₂×C₆₁	1	1	yes	characteristic, complemented
734	C₂×C₆₁	—	2	4	no	—
735	C₂×C₆₁	—	4	2	no	—
736	C₂×C₆₁	—	4	2	no	—
737	C₂×C₆₁	—	4	2	no	—
738	C₂×C₆₁	—	4	4	no	—
739	C₂×C₆₁	—	4	4	no	—
740	C₂×C₆₁	—	4	2	no	—
741	C₂×C₆₁	—	4	4	no	—
742	C₂×C₆₁	#3542	1	4	yes	direct product factor
743	C₂×C₆₁	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
744	C₂×C₆₁	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
745	C₂×C₆₁	C₂×#585	1	1	yes	characteristic
746	C₂²×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
747	C₂²×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
748	C₂²×#41	C₂²×C₆₁	1	2	yes	complemented
749	C₂²×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
750	C₂³×D₄	C₂²×C₆₁	1	1	yes	characteristic
751	C₂³×D₄	C₂²×C₆₁	1	2	yes	—
752	C₂³×D₄	C₂²×C₆₁	1	2	yes	complemented
753	C₂³×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
754	C₂⁴×C₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
755	#562	C₂²×C₆₁	1	32	yes	complemented
756	#560	C₂²×C₆₁	1	32	yes	complemented
757	#555	C₂²×C₆₁	1	16	yes	complemented
758	#553	C₂²×C₆₁	1	16	yes	complemented
759	#552	C₂²×C₆₁	1	16	yes	complemented
760	#551	C₂²×C₆₁	1	32	yes	complemented
761	#550	C₂²×C₆₁	1	16	yes	complemented
762	#547	C₂²×C₆₁	1	16	yes	complemented
763	#546	C₂²×C₆₁	1	32	yes	complemented
764	#546	C₂²×C₆₁	1	16	yes	complemented
765	#546	C₂²×C₆₁	1	16	yes	complemented
766	D₄²	C₂²×C₆₁	1	16	yes	complemented
767	#542	C₂²×C₆₁	1	16	yes	complemented
768	#540	C₂²×C₆₁	1	16	yes	complemented
769	#540	C₂²×C₆₁	1	32	yes	complemented
770	#538	C₂²×C₆₁	1	32	yes	complemented
771	#537	C₂²×C₆₁	1	16	yes	complemented
772	#535	C₂²×C₆₁	1	32	yes	complemented
773	#535	C₂²×C₆₁	1	16	yes	complemented
774	#534	C₂²×C₆₁	1	32	yes	complemented
775	C₂×C₄⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
776	C₂×#127	C₂²×C₆₁	1	2	yes	complemented
777	C₂×#127	C₂²×C₆₁	1	2	yes	complemented
778	C₂×#127	C₂²×C₆₁	1	1	yes	characteristic, complemented
779	C₂×#126	C₂²×C₆₁	1	2	yes	complemented
780	C₂×#126	C₂²×C₆₁	1	2	yes	complemented
781	C₂×#126	C₂²×C₆₁	1	2	yes	complemented
782	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic, complemented
783	C₂×#125	C₂²×C₆₁	1	2	yes	complemented
784	C₂×#124	C₂²×C₆₁	1	2	yes	complemented
785	C₂×#124	C₂²×C₆₁	1	2	yes	complemented
786	C₂×#124	C₂²×C₆₁	1	2	yes	complemented
787	C₂×#124	C₂²×C₆₁	1	2	yes	complemented
788	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic, complemented
789	#525	C₂²×C₆₁	1	16	yes	complemented
790	#525	C₂²×C₆₁	1	16	yes	complemented
791	C₂×#123	C₂²×C₆₁	1	2	yes	—
792	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic, complemented
793	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic, complemented
794	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
795	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
796	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
797	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
798	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
799	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
800	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
801	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
802	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
803	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
804	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
805	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
806	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
807	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
808	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
809	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
810	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
811	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
812	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
813	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
814	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
815	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic, complemented
816	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
817	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic, complemented
818	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
819	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic, complemented
820	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic, complemented
821	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
822	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
823	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
824	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
825	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
826	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
827	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic, complemented
828	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
829	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic, complemented
830	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
831	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic, complemented
832	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
833	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
834	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
835	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
836	C₂×#121	C₂²×C₆₁	1	16	yes	complemented
837	C₂×#120	C₂²×C₆₁	1	1	yes	characteristic
838	C₂×#120	C₂²×C₆₁	1	2	yes	—
839	C₂×#120	C₂²×C₆₁	1	2	yes	complemented
840	C₂×#120	C₂²×C₆₁	1	1	yes	characteristic, complemented
841	C₂×#120	C₂²×C₆₁	1	2	yes	complemented
842	C₂×#120	C₂²×C₆₁	1	2	yes	complemented
843	C₂×#120	C₂²×C₆₁	1	2	yes	complemented
844	C₂×#120	C₂²×C₆₁	1	2	yes	complemented
845	C₂×#120	C₂²×C₆₁	1	2	yes	complemented
846	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
847	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
848	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	complemented
849	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
850	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	complemented
851	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
852	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
853	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	complemented
854	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
855	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	complemented
856	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
857	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
858	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic, complemented
859	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic, complemented
860	C₂×#117	C₂²×C₆₁	1	2	yes	complemented
861	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic, complemented
862	C₂×#117	C₂²×C₆₁	1	2	yes	complemented
863	C₂²×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
864	C₂²×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
865	C₂²×C₂²⋊C₄	C₂²×C₆₁	1	2	yes	complemented
866	C₂²×C₂²⋊C₄	C₂²×C₆₁	1	2	yes	complemented
867	C₂²×C₂²⋊C₄	C₂²×C₆₁	1	2	yes	complemented
868	C₆₁	C₂×#3542	1	1	yes	characteristic, direct product factor, Sylow
869	C₂⁵	C₂³×C₆₁	1	2	yes	—
870	C₂⁵	C₂³×C₆₁	1	1	yes	characteristic
871	C₂⁵	C₂³×C₆₁	1	2	yes	—
872	C₂×#41	—	4	4	no	—
873	C₂×#41	—	4	8	no	—
874	C₂×#41	—	4	4	no	—
875	C₂×#41	—	4	4	no	—
876	C₂×#41	C₂³×C₆₁	1	8	yes	complemented
877	C₂×#41	C₂³×C₆₁	1	8	yes	complemented
878	C₂×#41	C₂³×C₆₁	1	16	yes	complemented
879	C₂×#41	C₂³×C₆₁	1	8	yes	complemented
880	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
881	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
882	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
883	C₂²×D₄	—	4	4	no	—
884	C₂²×D₄	—	4	4	no	—
885	C₂²×D₄	—	4	8	no	—
886	C₂²×D₄	—	4	8	no	—
887	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
888	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
889	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
890	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
891	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
892	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
893	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
894	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
895	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
896	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
897	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
898	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
899	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
900	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
901	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
902	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
903	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
904	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
905	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
906	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
907	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
908	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
909	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
910	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
911	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
912	C₂²×D₄	C₂³×C₆₁	1	8	yes	—
913	C₂²×D₄	C₂³×C₆₁	1	16	yes	—
914	C₂²×D₄	C₂³×C₆₁	1	16	yes	complemented
915	C₂²×D₄	C₂³×C₆₁	1	8	yes	complemented
916	C₂³×C₄	—	4	4	no	—
917	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
918	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
919	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
920	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
921	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
922	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
923	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
924	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
925	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
926	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
927	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
928	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
929	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
930	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
931	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
932	C₂³×C₄	C₂³×C₆₁	1	8	yes	complemented
933	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	complemented
934	#127	C₂³×C₆₁	1	16	yes	complemented
935	#127	C₂³×C₆₁	1	16	yes	complemented
936	#127	C₂³×C₆₁	1	8	yes	complemented
937	#126	C₂³×C₆₁	1	16	yes	complemented
938	#126	C₂³×C₆₁	1	16	yes	complemented
939	#126	C₂³×C₆₁	1	16	yes	complemented
940	#125	C₂³×C₆₁	1	8	yes	complemented
941	#125	C₂³×C₆₁	1	16	yes	complemented
942	#124	C₂³×C₆₁	1	16	yes	complemented
943	#124	C₂³×C₆₁	1	16	yes	complemented
944	#124	C₂³×C₆₁	1	16	yes	complemented
945	#124	C₂³×C₆₁	1	16	yes	complemented
946	#124	C₂³×C₆₁	1	8	yes	complemented
947	#123	C₂³×C₆₁	1	16	yes	—
948	#123	C₂³×C₆₁	1	8	yes	complemented
949	#123	C₂³×C₆₁	1	8	yes	complemented
950	#123	C₂³×C₆₁	1	16	yes	complemented
951	#123	C₂³×C₆₁	1	16	yes	complemented
952	#123	C₂³×C₆₁	1	16	yes	complemented
953	#123	C₂³×C₆₁	1	16	yes	complemented
954	#123	C₂³×C₆₁	1	16	yes	complemented
955	#123	C₂³×C₆₁	1	16	yes	complemented
956	#123	C₂³×C₆₁	1	16	yes	complemented
957	#123	C₂³×C₆₁	1	16	yes	complemented
958	#123	C₂³×C₆₁	1	16	yes	complemented
959	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	complemented
960	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	complemented
961	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	complemented
962	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	complemented
963	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	complemented
964	C₂²⋊Q₈	C₂³×C₆₁	1	16	yes	complemented
965	C₂²⋊Q₈	C₂³×C₆₁	1	16	yes	complemented
966	C₂²⋊Q₈	C₂³×C₆₁	1	16	yes	complemented
967	#121	C₂³×C₆₁	1	8	yes	—
968	#121	C₂³×C₆₁	1	8	yes	—
969	#121	C₂³×C₆₁	1	8	yes	—
970	#121	C₂³×C₆₁	1	8	yes	—
971	#121	C₂³×C₆₁	1	8	yes	complemented
972	#121	C₂³×C₆₁	1	16	yes	complemented
973	#121	C₂³×C₆₁	1	8	yes	complemented
974	#121	C₂³×C₆₁	1	16	yes	complemented
975	#121	C₂³×C₆₁	1	8	yes	complemented
976	#121	C₂³×C₆₁	1	8	yes	complemented
977	#121	C₂³×C₆₁	1	16	yes	complemented
978	#121	C₂³×C₆₁	1	16	yes	complemented
979	#121	C₂³×C₆₁	1	16	yes	complemented
980	#121	C₂³×C₆₁	1	16	yes	complemented
981	#121	C₂³×C₆₁	1	16	yes	complemented
982	#121	C₂³×C₆₁	1	16	yes	complemented
983	#121	C₂³×C₆₁	1	8	yes	complemented
984	#121	C₂³×C₆₁	1	16	yes	complemented
985	#121	C₂³×C₆₁	1	8	yes	complemented
986	#121	C₂³×C₆₁	1	16	yes	complemented
987	#121	C₂³×C₆₁	1	8	yes	complemented
988	#121	C₂³×C₆₁	1	16	yes	complemented
989	#121	C₂³×C₆₁	1	16	yes	complemented
990	#121	C₂³×C₆₁	1	16	yes	complemented
991	#121	C₂³×C₆₁	1	16	yes	complemented
992	#120	C₂³×C₆₁	1	8	yes	—
993	#120	C₂³×C₆₁	1	16	yes	—
994	#120	C₂³×C₆₁	1	16	yes	complemented
995	#120	C₂³×C₆₁	1	8	yes	complemented
996	#120	C₂³×C₆₁	1	16	yes	complemented
997	#120	C₂³×C₆₁	1	16	yes	complemented
998	#120	C₂³×C₆₁	1	16	yes	complemented
999	#120	C₂³×C₆₁	1	16	yes	complemented
1000	#120	C₂³×C₆₁	1	16	yes	complemented
1001	C₄×Q₈	C₂³×C₆₁	1	8	yes	complemented
1002	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1003	C₄×D₄	C₂³×C₆₁	1	16	yes	complemented
1004	C₄×D₄	C₂³×C₆₁	1	8	yes	complemented
1005	C₄×D₄	C₂³×C₆₁	1	16	yes	complemented
1006	C₄×D₄	C₂³×C₆₁	1	8	yes	complemented
1007	C₄×D₄	C₂³×C₆₁	1	8	yes	complemented
1008	C₄×D₄	C₂³×C₆₁	1	16	yes	complemented
1009	C₄×D₄	C₂³×C₆₁	1	8	yes	complemented
1010	C₄×D₄	C₂³×C₆₁	1	16	yes	complemented
1011	C₄×D₄	C₂³×C₆₁	1	8	yes	complemented
1012	C₄×D₄	C₂³×C₆₁	1	8	yes	complemented
1013	#117	C₂³×C₆₁	1	8	yes	complemented
1014	#117	C₂³×C₆₁	1	8	yes	complemented
1015	#117	C₂³×C₆₁	1	16	yes	complemented
1016	#117	C₂³×C₆₁	1	8	yes	complemented
1017	#117	C₂³×C₆₁	1	16	yes	complemented
1018	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1022	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1023	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1027	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1028	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1030	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1033	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1034	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1035	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1037	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	complemented
1038	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	complemented
1039	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1041	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1043	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1044	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1045	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1046	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1047	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1048	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1049	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1050	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1052	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1054	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1055	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1059	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1061	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1062	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1063	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1065	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1066	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1067	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₆₁	1	16	yes	complemented
1069	C₂×C₂²⋊C₄	C₂³×C₆₁	1	16	yes	complemented
1070	C₂×C₂²⋊C₄	C₂³×C₆₁	1	16	yes	complemented
1071	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1072	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1073	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1074	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1075	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1076	C₂⁴	—	2	4	no	—
1077	C₂⁴	—	2	8	no	—
1078	C₂⁴	—	4	2	no	—
1079	C₂⁴	—	4	2	no	—
1080	C₂⁴	—	4	4	no	—
1081	C₂⁴	—	4	4	no	—
1082	C₂⁴	—	4	4	no	—
1083	C₂⁴	—	4	4	no	—
1084	C₂⁴	—	4	4	no	—
1085	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1086	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
1087	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1088	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1089	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
1090	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
1091	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1092	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1093	C₂⁴	C₂⁴×C₆₁	1	8	yes	—
1094	C₂⁴	C₂⁴×C₆₁	1	4	yes	—
1095	C₂⁴	C₂⁴×C₆₁	1	8	yes	—
1096	#41	—	4	16	no	—
1097	#41	—	4	32	no	—
1098	#41	—	4	16	no	—
1099	#41	—	4	16	no	—
1100	C₂×Q₈	—	2	4	no	—
1101	C₂×Q₈	—	4	2	no	—
1102	C₂×Q₈	—	4	4	no	—
1103	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1104	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1105	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1106	C₂×D₄	—	2	4	no	—
1107	C₂×D₄	—	2	8	no	—
1108	C₂×D₄	—	2	4	no	—
1109	C₂×D₄	—	2	4	no	—
1110	C₂×D₄	—	2	4	no	—
1111	C₂×D₄	—	2	4	no	—
1112	C₂×D₄	—	4	16	no	—
1113	C₂×D₄	—	4	16	no	—
1114	C₂×D₄	—	4	4	no	—
1115	C₂×D₄	—	4	4	no	—
1116	C₂×D₄	—	4	4	no	—
1117	C₂×D₄	—	4	4	no	—
1118	C₂×D₄	—	4	4	no	—
1119	C₂×D₄	—	4	4	no	—
1120	C₂×D₄	—	4	4	no	—
1121	C₂×D₄	—	4	4	no	—
1122	C₂×D₄	—	4	32	no	—
1123	C₂×D₄	—	4	2	no	—
1124	C₂×D₄	—	4	2	no	—
1125	C₂×D₄	—	4	2	no	—
1126	C₂×D₄	—	4	4	no	—
1127	C₂×D₄	—	4	4	no	—
1128	C₂×D₄	—	4	4	no	—
1129	C₂×D₄	—	4	2	no	—
1130	C₂×D₄	—	4	4	no	—
1131	C₂×D₄	—	4	4	no	—
1132	C₂×D₄	—	4	4	no	—
1133	C₂×D₄	—	4	2	no	—
1134	C₂×D₄	—	4	32	no	—
1135	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1136	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1137	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1138	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1139	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1140	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1141	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1142	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1143	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1144	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1145	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1146	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1147	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1148	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1149	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1150	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1151	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1152	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1153	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1154	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1155	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1156	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1157	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1158	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1159	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1160	C₂²×C₄	—	2	8	no	—
1161	C₂²×C₄	—	2	4	no	—
1162	C₂²×C₄	—	2	4	no	—
1163	C₂²×C₄	—	2	4	no	—
1164	C₂²×C₄	—	2	4	no	—
1165	C₂²×C₄	—	2	4	no	—
1166	C₂²×C₄	—	4	16	no	—
1167	C₂²×C₄	—	4	2	no	—
1168	C₂²×C₄	—	4	2	no	—
1169	C₂²×C₄	—	4	2	no	—
1170	C₂²×C₄	—	4	4	no	—
1171	C₂²×C₄	—	4	4	no	—
1172	C₂²×C₄	—	4	4	no	—
1173	C₂²×C₄	—	4	4	no	—
1174	C₂²×C₄	—	4	4	no	—
1175	C₂²×C₄	—	4	4	no	—
1176	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1178	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1181	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1184	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1185	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1187	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1188	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1189	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1190	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1191	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1192	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1193	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1194	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1195	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1196	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1197	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1198	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1199	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1200	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1201	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1202	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1203	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1204	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1205	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1206	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1207	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1208	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1209	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1210	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1211	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1212	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1213	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1214	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1215	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1216	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1217	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1218	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1219	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1220	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1221	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1222	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1223	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1224	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1225	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1226	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1227	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1228	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1229	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1230	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1231	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1232	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1233	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1234	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1235	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1236	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1237	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1238	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1239	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1240	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1241	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1242	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1243	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1244	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1245	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1246	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1247	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1248	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1249	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1250	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1251	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1252	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1253	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1254	C₄²	C₂⁴×C₆₁	1	8	yes	—
1255	C₄²	C₂⁴×C₆₁	1	8	yes	—
1256	C₄²	C₂⁴×C₆₁	1	4	yes	—
1257	C₄²	C₂⁴×C₆₁	1	4	yes	—
1258	C₄²	C₂⁴×C₆₁	1	8	yes	—
1259	C₂³	—	2	2	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	4	no	—
1267	C₂³	—	2	4	no	—
1268	C₂³	—	2	4	no	—
1269	C₂³	—	2	4	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	4	no	—
1272	C₂³	—	2	8	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	2	2	no	—
1275	C₂³	—	2	4	no	—
1276	C₂³	—	2	4	no	—
1277	C₂³	—	2	2	no	—
1278	C₂³	—	2	2	no	—
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	4	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	16	no	—
1284	C₂³	—	4	4	no	—
1285	C₂³	—	4	4	no	—
1286	C₂³	—	4	8	no	—
1287	C₂³	—	4	8	no	—
1288	C₂³	—	4	8	no	—
1289	C₂³	—	4	8	no	—
1290	C₂³	—	4	8	no	—
1291	C₂³	—	4	16	no	—
1292	C₂³	—	8	16	no	—
1293	C₂³	—	8	16	no	—
1294	C₂³	H(5,𝔽₂)×C₆₁	1	4	yes	—
1295	C₂³	C₂⁵×C₆₁	1	2	yes	—
1296	C₂³	C₂⁵×C₆₁	1	4	yes	—
1297	C₂³	C₂⁵×C₆₁	1	2	yes	—
1298	C₂³	C₂⁵×C₆₁	1	2	yes	—
1299	C₂³	C₂⁵×C₆₁	1	4	yes	—
1300	C₂³	C₂⁵×C₆₁	1	4	yes	—
1301	C₂³	C₂⁵×C₆₁	1	2	yes	—
1302	C₂³	C₂⁵×C₆₁	1	2	yes	—
1303	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1304	Q₈	—	2	8	no	—
1305	Q₈	—	4	4	no	—
1306	Q₈	—	4	8	no	—
1307	D₄	—	2	8	no	—
1308	D₄	—	2	16	no	—
1309	D₄	—	2	8	no	—
1310	D₄	—	2	8	no	—
1311	D₄	—	2	8	no	—
1312	D₄	—	2	8	no	—
1313	D₄	—	4	8	no	—
1314	D₄	—	4	8	no	—
1315	D₄	—	4	8	no	—
1316	D₄	—	4	8	no	—
1317	D₄	—	4	8	no	—
1318	D₄	—	4	8	no	—
1319	D₄	—	4	8	no	—
1320	D₄	—	4	8	no	—
1321	D₄	—	4	4	no	—
1322	D₄	—	4	8	no	—
1323	D₄	—	4	8	no	—
1324	D₄	—	4	8	no	—
1325	D₄	—	4	4	no	—
1326	D₄	—	4	4	no	—
1327	D₄	—	4	4	no	—
1328	D₄	—	4	4	no	—
1329	D₄	—	4	8	no	—
1330	D₄	—	4	8	no	—
1331	D₄	—	4	8	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	4	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	4	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	16	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	4	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	4	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	4	no	—
1346	C₂×C₄	—	2	2	no	—
1347	C₂×C₄	—	2	8	no	—
1348	C₂×C₄	—	2	8	no	—
1349	C₂×C₄	—	2	8	no	—
1350	C₂×C₄	—	2	8	no	—
1351	C₂×C₄	—	2	8	no	—
1352	C₂×C₄	—	4	4	no	—
1353	C₂×C₄	—	4	4	no	—
1354	C₂×C₄	—	4	4	no	—
1355	C₂×C₄	—	4	8	no	—
1356	C₂×C₄	—	4	8	no	—
1357	C₂×C₄	—	4	8	no	—
1358	C₂×C₄	—	4	8	no	—
1359	C₂×C₄	—	4	8	no	—
1360	C₂×C₄	—	4	8	no	—
1361	C₂×C₄	H(5,𝔽₂)×C₆₁	1	4	yes	—
1362	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1363	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1364	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1365	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1366	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1367	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1368	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1369	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1370	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1371	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1372	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1373	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1374	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1375	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1376	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1377	C₂²	—	2	2	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	8	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	4	no	—
1386	C₂²	—	2	4	no	—
1387	C₂²	—	2	4	no	—
1388	C₂²	—	2	4	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	4	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	4	no	—
1394	C₂²	—	2	4	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	4	no	—
1399	C₂²	—	2	2	no	—
1400	C₂²	—	2	4	no	—
1401	C₂²	—	4	16	no	—
1402	C₂²	—	4	4	no	—
1403	C₂²	—	4	4	no	—
1404	C₂²	—	4	4	no	—
1405	C₂²	—	4	8	no	—
1406	C₂²	—	4	8	no	—
1407	C₂²	—	4	4	no	—
1408	C₂²	—	4	8	no	—
1409	C₂²	—	8	16	no	—
1410	C₂²	—	8	16	no	—
1411	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	4	yes	—
1412	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
1413	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
1414	C₂²	C₆₁×#585	1	2	yes	—
1415	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
1416	C₄	—	2	2	no	—
1417	C₄	—	2	4	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	4	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	4	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	2	4	no	—
1427	C₄	—	2	2	no	—
1428	C₄	—	2	4	no	—
1429	C₄	—	2	2	no	—
1430	C₄	C₂×H(5,𝔽₂)×C₆₁	1	4	yes	—
1431	C₂	—	2	4	no	—
1432	C₂	—	4	2	no	—
1433	C₂	—	4	2	no	—
1434	C₂	—	4	2	no	—
1435	C₂	—	4	4	no	—
1436	C₂	—	4	4	no	—
1437	C₂	—	4	4	no	—
1438	C₂	—	4	2	no	—
1439	C₂	C₆₁×#3542	1	4	yes	direct product factor
1440	C₂	C₂²×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1441	C₂	C₂²×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1442	C₂	C₂×C₆₁×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₁	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₆₁
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3542	C₂	direct (N × H)
2. C₂×C₆₁×#562	C₂	semidirect
3. C₂×C₆₁×#560	C₂	semidirect
4. C₂×C₆₁×#555	C₂	semidirect
5. C₂×C₆₁×#553	C₂	semidirect
6. C₂×C₆₁×#552	C₂	semidirect
7. C₂×C₆₁×#551	C₂	semidirect
8. C₂×C₆₁×#550	C₂	semidirect
9. C₂×C₆₁×#547	C₂	semidirect
10. C₂×C₆₁×#546	C₂	semidirect
11. C₂×C₆₁×#546	C₂	semidirect
12. C₂×C₆₁×#546	C₂	semidirect
13. C₂×D₄²×C₆₁	C₂	semidirect
14. C₂×C₆₁×#542	C₂	semidirect
15. C₂×C₆₁×#540	C₂	semidirect
16. C₂×C₆₁×#540	C₂	semidirect
17. C₂×C₆₁×#538	C₂	semidirect
18. C₂×C₆₁×#537	C₂	semidirect
19. C₂×C₆₁×#535	C₂	semidirect
20. C₂×C₆₁×#535	C₂	semidirect
21. C₂×C₆₁×#534	C₂	semidirect
22. C₂×C₆₁×#525	C₂	semidirect
23. C₂×C₆₁×#525	C₂	semidirect
24. C₂²×#121×C₆₁	C₂	semidirect
25. C₂²×#41×C₆₁	C₂²	semidirect
26. C₂²×#41×C₆₁	C₂²	semidirect
27. C₂²×#41×C₆₁	C₂²	semidirect
28. C₂²×#41×C₆₁	C₂²	semidirect
31. C₂³×D₄×C₆₁	C₂²	semidirect
32. C₂³×D₄×C₆₁	C₂²	semidirect
33. C₂⁴×C₄×C₆₁	C₂²	semidirect
34. C₆₁×#562	C₂²	semidirect
35. C₆₁×#560	C₂²	semidirect
36. C₆₁×#555	C₂²	semidirect
37. C₆₁×#553	C₂²	semidirect
38. C₆₁×#552	C₂²	semidirect
39. C₆₁×#551	C₂²	semidirect
40. C₆₁×#550	C₂²	semidirect
41. C₆₁×#547	C₂²	semidirect
42. C₆₁×#546	C₂²	semidirect
43. C₆₁×#546	C₂²	semidirect
44. C₆₁×#546	C₂²	semidirect
45. D₄²×C₆₁	C₂²	semidirect
46. C₆₁×#542	C₂²	semidirect
47. C₆₁×#540	C₂²	semidirect
48. C₆₁×#540	C₂²	semidirect
49. C₆₁×#538	C₂²	semidirect
50. C₆₁×#537	C₂²	semidirect
51. C₆₁×#535	C₂²	semidirect
52. C₆₁×#535	C₂²	semidirect
53. C₆₁×#534	C₂²	semidirect
54. C₂×C₄⋊Q₈×C₆₁	C₂²	semidirect
55. C₂×#127×C₆₁	C₂²	semidirect
56. C₂×#127×C₆₁	C₂²	semidirect
57. C₂×#127×C₆₁	C₂²	semidirect
58. C₂×#126×C₆₁	C₂²	semidirect
59. C₂×#126×C₆₁	C₂²	semidirect
60. C₂×#126×C₆₁	C₂²	semidirect
61. C₂×#125×C₆₁	C₂²	semidirect
62. C₂×#125×C₆₁	C₂²	semidirect
63. C₂×#124×C₆₁	C₂²	semidirect
64. C₂×#124×C₆₁	C₂²	semidirect
65. C₂×#124×C₆₁	C₂²	semidirect
66. C₂×#124×C₆₁	C₂²	semidirect
67. C₂×#124×C₆₁	C₂²	semidirect
68. C₆₁×#525	C₂²	semidirect
69. C₆₁×#525	C₂²	semidirect
71. C₂×#123×C₆₁	C₂²	semidirect
72. C₂×#123×C₆₁	C₂²	semidirect
73. C₂×#123×C₆₁	C₂²	semidirect
74. C₂×#123×C₆₁	C₂²	semidirect
75. C₂×#123×C₆₁	C₂²	semidirect
76. C₂×#123×C₆₁	C₂²	semidirect
77. C₂×#123×C₆₁	C₂²	semidirect
78. C₂×#123×C₆₁	C₂²	semidirect
79. C₂×#123×C₆₁	C₂²	semidirect
80. C₂×#123×C₆₁	C₂²	semidirect
81. C₂×#123×C₆₁	C₂²	semidirect
82. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
83. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
84. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
85. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
86. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
87. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
88. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
89. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
94. C₂×#121×C₆₁	C₂²	semidirect
95. C₂×#121×C₆₁	C₂²	semidirect
96. C₂×#121×C₆₁	C₂²	semidirect
97. C₂×#121×C₆₁	C₂²	semidirect
98. C₂×#121×C₆₁	C₂²	semidirect
99. C₂×#121×C₆₁	C₂²	semidirect
100. C₂×#121×C₆₁	C₂²	semidirect
101. C₂×#121×C₆₁	C₂²	semidirect
102. C₂×#121×C₆₁	C₂²	semidirect
103. C₂×#121×C₆₁	C₂²	semidirect
104. C₂×#121×C₆₁	C₂²	semidirect
105. C₂×#121×C₆₁	C₂²	semidirect
106. C₂×#121×C₆₁	C₂²	semidirect
107. C₂×#121×C₆₁	C₂²	semidirect
108. C₂×#121×C₆₁	C₂²	semidirect
109. C₂×#121×C₆₁	C₂²	semidirect
110. C₂×#121×C₆₁	C₂²	semidirect
111. C₂×#121×C₆₁	C₂²	semidirect
112. C₂×#121×C₆₁	C₂²	semidirect
113. C₂×#121×C₆₁	C₂²	semidirect
114. C₂×#121×C₆₁	C₂²	semidirect
115. C₂×#121×C₆₁	C₂²	semidirect
118. C₂×#120×C₆₁	C₂²	semidirect
119. C₂×#120×C₆₁	C₂²	semidirect
120. C₂×#120×C₆₁	C₂²	semidirect
121. C₂×#120×C₆₁	C₂²	semidirect
122. C₂×#120×C₆₁	C₂²	semidirect
123. C₂×#120×C₆₁	C₂²	semidirect
124. C₂×#120×C₆₁	C₂²	semidirect
125. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
127. C₂×C₄×D₄×C₆₁	C₂²	semidirect
128. C₂×C₄×D₄×C₆₁	C₂²	semidirect
129. C₂×C₄×D₄×C₆₁	C₂²	semidirect
130. C₂×C₄×D₄×C₆₁	C₂²	semidirect
131. C₂×C₄×D₄×C₆₁	C₂²	semidirect
132. C₂×C₄×D₄×C₆₁	C₂²	semidirect
133. C₂×C₄×D₄×C₆₁	C₂²	semidirect
134. C₂×C₄×D₄×C₆₁	C₂²	semidirect
135. C₂×C₄×D₄×C₆₁	C₂²	semidirect
136. C₂×C₄×D₄×C₆₁	C₂²	semidirect
137. C₂×#117×C₆₁	C₂²	semidirect
138. C₂×#117×C₆₁	C₂²	semidirect
139. C₂×#117×C₆₁	C₂²	semidirect
140. C₂×#117×C₆₁	C₂²	semidirect
141. C₂×#117×C₆₁	C₂²	semidirect
142. C₂²×C₄⋊C₄×C₆₁	C₂²	semidirect
143. C₂²×C₄⋊C₄×C₆₁	C₂²	semidirect
144. C₂²×C₂²⋊C₄×C₆₁	C₂²	semidirect
145. C₂²×C₂²⋊C₄×C₆₁	C₂²	semidirect
146. C₂²×C₂²⋊C₄×C₆₁	C₂²	semidirect
154. C₂×#41×C₆₁	C₂³	semidirect
155. C₂×#41×C₆₁	C₂³	semidirect
156. C₂×#41×C₆₁	C₂³	semidirect
157. C₂×#41×C₆₁	C₂³	semidirect
192. C₂²×D₄×C₆₁	C₂³	semidirect
193. C₂²×D₄×C₆₁	C₂³	semidirect
210. C₂³×C₄×C₆₁	C₂³	semidirect
211. C₄⋊Q₈×C₆₁	C₂³	semidirect
212. #127×C₆₁	C₂³	semidirect
213. #127×C₆₁	C₂³	semidirect
214. #127×C₆₁	C₂³	semidirect
215. #126×C₆₁	C₂³	semidirect
216. #126×C₆₁	C₂³	semidirect
217. #126×C₆₁	C₂³	semidirect
218. #125×C₆₁	C₂³	semidirect
219. #125×C₆₁	C₂³	semidirect
220. #124×C₆₁	C₂³	semidirect
221. #124×C₆₁	C₂³	semidirect
222. #124×C₆₁	C₂³	semidirect
223. #124×C₆₁	C₂³	semidirect
224. #124×C₆₁	C₂³	semidirect
226. #123×C₆₁	C₂³	semidirect
227. #123×C₆₁	C₂³	semidirect
228. #123×C₆₁	C₂³	semidirect
229. #123×C₆₁	C₂³	semidirect
230. #123×C₆₁	C₂³	semidirect
231. #123×C₆₁	C₂³	semidirect
232. #123×C₆₁	C₂³	semidirect
233. #123×C₆₁	C₂³	semidirect
234. #123×C₆₁	C₂³	semidirect
235. #123×C₆₁	C₂³	semidirect
236. #123×C₆₁	C₂³	semidirect
237. C₂²⋊Q₈×C₆₁	C₂³	semidirect
238. C₂²⋊Q₈×C₆₁	C₂³	semidirect
239. C₂²⋊Q₈×C₆₁	C₂³	semidirect
240. C₂²⋊Q₈×C₆₁	C₂³	semidirect
241. C₂²⋊Q₈×C₆₁	C₂³	semidirect
242. C₂²⋊Q₈×C₆₁	C₂³	semidirect
243. C₂²⋊Q₈×C₆₁	C₂³	semidirect
244. C₂²⋊Q₈×C₆₁	C₂³	semidirect
249. #121×C₆₁	C₂³	semidirect
250. #121×C₆₁	C₂³	semidirect
251. #121×C₆₁	C₂³	semidirect
252. #121×C₆₁	C₂³	semidirect
253. #121×C₆₁	C₂³	semidirect
254. #121×C₆₁	C₂³	semidirect
255. #121×C₆₁	C₂³	semidirect
256. #121×C₆₁	C₂³	semidirect
257. #121×C₆₁	C₂³	semidirect
258. #121×C₆₁	C₂³	semidirect
259. #121×C₆₁	C₂³	semidirect
260. #121×C₆₁	C₂³	semidirect
261. #121×C₆₁	C₂³	semidirect
262. #121×C₆₁	C₂³	semidirect
263. #121×C₆₁	C₂³	semidirect
264. #121×C₆₁	C₂³	semidirect
265. #121×C₆₁	C₂³	semidirect
266. #121×C₆₁	C₂³	semidirect
267. #121×C₆₁	C₂³	semidirect
268. #121×C₆₁	C₂³	semidirect
269. #121×C₆₁	C₂³	semidirect
272. #120×C₆₁	C₂³	semidirect
273. #120×C₆₁	C₂³	semidirect
274. #120×C₆₁	C₂³	semidirect
275. #120×C₆₁	C₂³	semidirect
276. #120×C₆₁	C₂³	semidirect
277. #120×C₆₁	C₂³	semidirect
278. #120×C₆₁	C₂³	semidirect
279. C₄×Q₈×C₆₁	C₂³	semidirect
281. C₄×D₄×C₆₁	C₂³	semidirect
282. C₄×D₄×C₆₁	C₂³	semidirect
283. C₄×D₄×C₆₁	C₂³	semidirect
284. C₄×D₄×C₆₁	C₂³	semidirect
285. C₄×D₄×C₆₁	C₂³	semidirect
286. C₄×D₄×C₆₁	C₂³	semidirect
287. C₄×D₄×C₆₁	C₂³	semidirect
288. C₄×D₄×C₆₁	C₂³	semidirect
289. C₄×D₄×C₆₁	C₂³	semidirect
290. C₄×D₄×C₆₁	C₂³	semidirect
291. #117×C₆₁	C₂³	semidirect
292. #117×C₆₁	C₂³	semidirect
293. #117×C₆₁	C₂³	semidirect
294. #117×C₆₁	C₂³	semidirect
295. #117×C₆₁	C₂³	semidirect
315. C₂×C₄⋊C₄×C₆₁	C₂³	semidirect
316. C₂×C₄⋊C₄×C₆₁	C₂³	semidirect
346. C₂×C₂²⋊C₄×C₆₁	C₂³	semidirect
347. C₂×C₂²⋊C₄×C₆₁	C₂³	semidirect
348. C₂×C₂²⋊C₄×C₆₁	C₂³	semidirect
655. C₂×#3542	C₆₁	direct (N × H)
710. #3542	C₂×C₆₁	direct (N × H)
711. C₂×#562	C₂×C₆₁	semidirect
712. C₂×#560	C₂×C₆₁	semidirect
713. C₂×#555	C₂×C₆₁	semidirect
714. C₂×#553	C₂×C₆₁	semidirect
715. C₂×#552	C₂×C₆₁	semidirect
716. C₂×#551	C₂×C₆₁	semidirect
717. C₂×#550	C₂×C₆₁	semidirect
718. C₂×#547	C₂×C₆₁	semidirect
719. C₂×#546	C₂×C₆₁	semidirect
720. C₂×#546	C₂×C₆₁	semidirect
721. C₂×#546	C₂×C₆₁	semidirect
722. C₂×D₄²	C₂×C₆₁	semidirect
723. C₂×#542	C₂×C₆₁	semidirect
724. C₂×#540	C₂×C₆₁	semidirect
725. C₂×#540	C₂×C₆₁	semidirect
726. C₂×#538	C₂×C₆₁	semidirect
727. C₂×#537	C₂×C₆₁	semidirect
728. C₂×#535	C₂×C₆₁	semidirect
729. C₂×#535	C₂×C₆₁	semidirect
730. C₂×#534	C₂×C₆₁	semidirect
731. C₂×#525	C₂×C₆₁	semidirect
732. C₂×#525	C₂×C₆₁	semidirect
733. C₂²×#121	C₂×C₆₁	semidirect
742. C₂×C₆₁	#3542	direct (N × H)
746. C₂²×#41	C₂²×C₆₁	semidirect
747. C₂²×#41	C₂²×C₆₁	semidirect
748. C₂²×#41	C₂²×C₆₁	semidirect
749. C₂²×#41	C₂²×C₆₁	semidirect
752. C₂³×D₄	C₂²×C₆₁	semidirect
753. C₂³×D₄	C₂²×C₆₁	semidirect
754. C₂⁴×C₄	C₂²×C₆₁	semidirect
755. #562	C₂²×C₆₁	semidirect
756. #560	C₂²×C₆₁	semidirect
757. #555	C₂²×C₆₁	semidirect
758. #553	C₂²×C₆₁	semidirect
759. #552	C₂²×C₆₁	semidirect
760. #551	C₂²×C₆₁	semidirect
761. #550	C₂²×C₆₁	semidirect
762. #547	C₂²×C₆₁	semidirect
763. #546	C₂²×C₆₁	semidirect
764. #546	C₂²×C₆₁	semidirect
765. #546	C₂²×C₆₁	semidirect
766. D₄²	C₂²×C₆₁	semidirect
767. #542	C₂²×C₆₁	semidirect
768. #540	C₂²×C₆₁	semidirect
769. #540	C₂²×C₆₁	semidirect
770. #538	C₂²×C₆₁	semidirect
771. #537	C₂²×C₆₁	semidirect
772. #535	C₂²×C₆₁	semidirect
773. #535	C₂²×C₆₁	semidirect
774. #534	C₂²×C₆₁	semidirect
775. C₂×C₄⋊Q₈	C₂²×C₆₁	semidirect
776. C₂×#127	C₂²×C₆₁	semidirect
777. C₂×#127	C₂²×C₆₁	semidirect
778. C₂×#127	C₂²×C₆₁	semidirect
779. C₂×#126	C₂²×C₆₁	semidirect
780. C₂×#126	C₂²×C₆₁	semidirect
781. C₂×#126	C₂²×C₆₁	semidirect
782. C₂×#125	C₂²×C₆₁	semidirect
783. C₂×#125	C₂²×C₆₁	semidirect
784. C₂×#124	C₂²×C₆₁	semidirect
785. C₂×#124	C₂²×C₆₁	semidirect
786. C₂×#124	C₂²×C₆₁	semidirect
787. C₂×#124	C₂²×C₆₁	semidirect
788. C₂×#124	C₂²×C₆₁	semidirect
789. #525	C₂²×C₆₁	semidirect
790. #525	C₂²×C₆₁	semidirect
792. C₂×#123	C₂²×C₆₁	semidirect
793. C₂×#123	C₂²×C₆₁	semidirect
794. C₂×#123	C₂²×C₆₁	semidirect
795. C₂×#123	C₂²×C₆₁	semidirect
796. C₂×#123	C₂²×C₆₁	semidirect
797. C₂×#123	C₂²×C₆₁	semidirect
798. C₂×#123	C₂²×C₆₁	semidirect
799. C₂×#123	C₂²×C₆₁	semidirect
800. C₂×#123	C₂²×C₆₁	semidirect
801. C₂×#123	C₂²×C₆₁	semidirect
802. C₂×#123	C₂²×C₆₁	semidirect
803. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
804. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
805. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
806. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
807. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
808. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
809. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
810. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
815. C₂×#121	C₂²×C₆₁	semidirect
816. C₂×#121	C₂²×C₆₁	semidirect
817. C₂×#121	C₂²×C₆₁	semidirect
818. C₂×#121	C₂²×C₆₁	semidirect
819. C₂×#121	C₂²×C₆₁	semidirect
820. C₂×#121	C₂²×C₆₁	semidirect
821. C₂×#121	C₂²×C₆₁	semidirect
822. C₂×#121	C₂²×C₆₁	semidirect
823. C₂×#121	C₂²×C₆₁	semidirect
824. C₂×#121	C₂²×C₆₁	semidirect
825. C₂×#121	C₂²×C₆₁	semidirect
826. C₂×#121	C₂²×C₆₁	semidirect
827. C₂×#121	C₂²×C₆₁	semidirect
828. C₂×#121	C₂²×C₆₁	semidirect
829. C₂×#121	C₂²×C₆₁	semidirect
830. C₂×#121	C₂²×C₆₁	semidirect
831. C₂×#121	C₂²×C₆₁	semidirect
832. C₂×#121	C₂²×C₆₁	semidirect
833. C₂×#121	C₂²×C₆₁	semidirect
834. C₂×#121	C₂²×C₆₁	semidirect
835. C₂×#121	C₂²×C₆₁	semidirect
836. C₂×#121	C₂²×C₆₁	semidirect
839. C₂×#120	C₂²×C₆₁	semidirect
840. C₂×#120	C₂²×C₆₁	semidirect
841. C₂×#120	C₂²×C₆₁	semidirect
842. C₂×#120	C₂²×C₆₁	semidirect
843. C₂×#120	C₂²×C₆₁	semidirect
844. C₂×#120	C₂²×C₆₁	semidirect
845. C₂×#120	C₂²×C₆₁	semidirect
846. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
848. C₂×C₄×D₄	C₂²×C₆₁	semidirect
849. C₂×C₄×D₄	C₂²×C₆₁	semidirect
850. C₂×C₄×D₄	C₂²×C₆₁	semidirect
851. C₂×C₄×D₄	C₂²×C₆₁	semidirect
852. C₂×C₄×D₄	C₂²×C₆₁	semidirect
853. C₂×C₄×D₄	C₂²×C₆₁	semidirect
854. C₂×C₄×D₄	C₂²×C₆₁	semidirect
855. C₂×C₄×D₄	C₂²×C₆₁	semidirect
856. C₂×C₄×D₄	C₂²×C₆₁	semidirect
857. C₂×C₄×D₄	C₂²×C₆₁	semidirect
858. C₂×#117	C₂²×C₆₁	semidirect
859. C₂×#117	C₂²×C₆₁	semidirect
860. C₂×#117	C₂²×C₆₁	semidirect
861. C₂×#117	C₂²×C₆₁	semidirect
862. C₂×#117	C₂²×C₆₁	semidirect
863. C₂²×C₄⋊C₄	C₂²×C₆₁	semidirect
864. C₂²×C₄⋊C₄	C₂²×C₆₁	semidirect
865. C₂²×C₂²⋊C₄	C₂²×C₆₁	semidirect
866. C₂²×C₂²⋊C₄	C₂²×C₆₁	semidirect
867. C₂²×C₂²⋊C₄	C₂²×C₆₁	semidirect
868. C₆₁	C₂×#3542	direct (N × H)
876. C₂×#41	C₂³×C₆₁	semidirect
877. C₂×#41	C₂³×C₆₁	semidirect
878. C₂×#41	C₂³×C₆₁	semidirect
879. C₂×#41	C₂³×C₆₁	semidirect
914. C₂²×D₄	C₂³×C₆₁	semidirect
915. C₂²×D₄	C₂³×C₆₁	semidirect
932. C₂³×C₄	C₂³×C₆₁	semidirect
933. C₄⋊Q₈	C₂³×C₆₁	semidirect
934. #127	C₂³×C₆₁	semidirect
935. #127	C₂³×C₆₁	semidirect
936. #127	C₂³×C₆₁	semidirect
937. #126	C₂³×C₆₁	semidirect
938. #126	C₂³×C₆₁	semidirect
939. #126	C₂³×C₆₁	semidirect
940. #125	C₂³×C₆₁	semidirect
941. #125	C₂³×C₆₁	semidirect
942. #124	C₂³×C₆₁	semidirect
943. #124	C₂³×C₆₁	semidirect
944. #124	C₂³×C₆₁	semidirect
945. #124	C₂³×C₆₁	semidirect
946. #124	C₂³×C₆₁	semidirect
948. #123	C₂³×C₆₁	semidirect
949. #123	C₂³×C₆₁	semidirect
950. #123	C₂³×C₆₁	semidirect
951. #123	C₂³×C₆₁	semidirect
952. #123	C₂³×C₆₁	semidirect
953. #123	C₂³×C₆₁	semidirect
954. #123	C₂³×C₆₁	semidirect
955. #123	C₂³×C₆₁	semidirect
956. #123	C₂³×C₆₁	semidirect
957. #123	C₂³×C₆₁	semidirect
958. #123	C₂³×C₆₁	semidirect
959. C₂²⋊Q₈	C₂³×C₆₁	semidirect
960. C₂²⋊Q₈	C₂³×C₆₁	semidirect
961. C₂²⋊Q₈	C₂³×C₆₁	semidirect
962. C₂²⋊Q₈	C₂³×C₆₁	semidirect
963. C₂²⋊Q₈	C₂³×C₆₁	semidirect
964. C₂²⋊Q₈	C₂³×C₆₁	semidirect
965. C₂²⋊Q₈	C₂³×C₆₁	semidirect
966. C₂²⋊Q₈	C₂³×C₆₁	semidirect
971. #121	C₂³×C₆₁	semidirect
972. #121	C₂³×C₆₁	semidirect
973. #121	C₂³×C₆₁	semidirect
974. #121	C₂³×C₆₁	semidirect
975. #121	C₂³×C₆₁	semidirect
976. #121	C₂³×C₆₁	semidirect
977. #121	C₂³×C₆₁	semidirect
978. #121	C₂³×C₆₁	semidirect
979. #121	C₂³×C₆₁	semidirect
980. #121	C₂³×C₆₁	semidirect
981. #121	C₂³×C₆₁	semidirect
982. #121	C₂³×C₆₁	semidirect
983. #121	C₂³×C₆₁	semidirect
984. #121	C₂³×C₆₁	semidirect
985. #121	C₂³×C₆₁	semidirect
986. #121	C₂³×C₆₁	semidirect
987. #121	C₂³×C₆₁	semidirect
988. #121	C₂³×C₆₁	semidirect
989. #121	C₂³×C₆₁	semidirect
990. #121	C₂³×C₆₁	semidirect
991. #121	C₂³×C₆₁	semidirect
994. #120	C₂³×C₆₁	semidirect
995. #120	C₂³×C₆₁	semidirect
996. #120	C₂³×C₆₁	semidirect
997. #120	C₂³×C₆₁	semidirect
998. #120	C₂³×C₆₁	semidirect
999. #120	C₂³×C₆₁	semidirect
1000. #120	C₂³×C₆₁	semidirect
1001. C₄×Q₈	C₂³×C₆₁	semidirect
1003. C₄×D₄	C₂³×C₆₁	semidirect
1004. C₄×D₄	C₂³×C₆₁	semidirect
1005. C₄×D₄	C₂³×C₆₁	semidirect
1006. C₄×D₄	C₂³×C₆₁	semidirect
1007. C₄×D₄	C₂³×C₆₁	semidirect
1008. C₄×D₄	C₂³×C₆₁	semidirect
1009. C₄×D₄	C₂³×C₆₁	semidirect
1010. C₄×D₄	C₂³×C₆₁	semidirect
1011. C₄×D₄	C₂³×C₆₁	semidirect
1012. C₄×D₄	C₂³×C₆₁	semidirect
1013. #117	C₂³×C₆₁	semidirect
1014. #117	C₂³×C₆₁	semidirect
1015. #117	C₂³×C₆₁	semidirect
1016. #117	C₂³×C₆₁	semidirect
1017. #117	C₂³×C₆₁	semidirect
1037. C₂×C₄⋊C₄	C₂³×C₆₁	semidirect
1038. C₂×C₄⋊C₄	C₂³×C₆₁	semidirect
1068. C₂×C₂²⋊C₄	C₂³×C₆₁	semidirect
1069. C₂×C₂²⋊C₄	C₂³×C₆₁	semidirect
1070. C₂×C₂²⋊C₄	C₂³×C₆₁	semidirect
1439. C₂	C₆₁×#3542	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×#3542	2
C₂×C₆₁×#562	2
C₂×C₆₁×#560	2
C₂×C₆₁×#555	2
C₂×C₆₁×#553	2
C₂×C₆₁×#552	2
C₂×C₆₁×#551	2
C₂×C₆₁×#550	2
C₂×C₆₁×#547	2
C₂×C₆₁×#546	2
C₂×D₄²×C₆₁	2
C₂×C₆₁×#542	2
C₂×C₆₁×#540	2
C₂×C₆₁×#538	2
C₂×C₆₁×#537	2
C₂×C₆₁×#535	2
C₂×C₆₁×#534	2
C₂×C₆₁×#525	2
C₂²×#121×C₆₁	2
C₂×#3542	61

Subgroups — C2×C61×#3542 #29566152

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₆₁×#3542 #29566152