Subgroups — C₆₁×#62902 #29566335

Order 15616.

6590 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3564	C₂	1	4	yes	maximal, complemented
2	C₆₁×#3563	C₂	1	2	yes	maximal, complemented
3	C₆₁×#3553	C₂	1	8	yes	maximal, complemented
4	C₆₁×#3552	C₂	1	4	yes	maximal, complemented
5	C₆₁×#3541	C₂	1	8	yes	maximal, complemented
6	C₆₁×#3541	C₂	1	4	yes	maximal, complemented
7	C₆₁×#3536	C₂	1	2	yes	maximal, complemented
8	C₆₁×#3535	C₂	1	4	yes	maximal, complemented
9	C₆₁×#3520	C₂	1	2	yes	maximal, complemented
10	C₆₁×#3516	C₂	1	4	yes	maximal, complemented
11	C₆₁×#3505	C₂	1	4	yes	maximal, complemented
12	C₆₁×#3505	C₂	1	2	yes	maximal, complemented
13	C₆₁×#3501	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3501	C₂	1	2	yes	maximal, complemented
15	C₆₁×#3495	C₂	1	2	yes	maximal, complemented
16	C₆₁×#3492	C₂	1	4	yes	maximal, complemented
17	C₂×C₆₁×#554	C₂	1	2	yes	maximal, complemented
18	C₂×C₆₁×#553	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3459	C₂	1	2	yes	maximal, complemented
20	C₆₁×#3459	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#564	C₂²	1	4	yes	complemented
22	C₆₁×#563	C₂²	1	8	yes	complemented
23	C₆₁×#563	C₂²	1	8	yes	complemented
24	C₆₁×#563	C₂²	1	8	yes	complemented
25	C₆₁×#563	C₂²	1	4	yes	complemented
26	C₆₁×#562	C₂²	1	8	yes	complemented
27	C₆₁×#562	C₂²	1	8	yes	complemented
28	C₆₁×#557	C₂²	1	4	yes	complemented
29	C₆₁×#556	C₂²	1	4	yes	complemented
30	C₆₁×#556	C₂²	1	8	yes	complemented
31	C₆₁×#556	C₂²	1	2	yes	complemented
32	C₆₁×#554	C₂²	1	4	yes	complemented
33	C₆₁×#554	C₂²	1	4	yes	complemented
34	C₆₁×#554	C₂²	1	8	yes	complemented
35	C₆₁×#554	C₂²	1	8	yes	complemented
36	C₆₁×#554	C₂²	1	8	yes	complemented
37	C₆₁×#554	C₂²	1	8	yes	complemented
38	C₆₁×#554	C₂²	1	4	yes	complemented
39	C₆₁×#554	C₂²	1	8	yes	complemented
40	C₆₁×#554	C₂²	1	4	yes	complemented
41	C₆₁×#554	C₂²	1	4	yes	complemented
42	C₆₁×#554	C₂²	1	8	yes	complemented
43	C₆₁×#553	C₂²	1	4	yes	complemented
44	C₆₁×#553	C₂²	1	4	yes	complemented
45	C₆₁×#553	C₂²	1	8	yes	complemented
46	C₆₁×#553	C₂²	1	8	yes	complemented
47	C₆₁×#553	C₂²	1	8	yes	complemented
48	C₆₁×#553	C₂²	1	8	yes	complemented
49	C₆₁×#553	C₂²	1	4	yes	complemented
50	C₆₁×#553	C₂²	1	8	yes	complemented
51	C₆₁×#552	C₂²	1	4	yes	complemented
52	C₆₁×#552	C₂²	1	8	yes	complemented
53	C₆₁×#552	C₂²	1	8	yes	complemented
54	C₆₁×#552	C₂²	1	8	yes	complemented
55	C₆₁×#552	C₂²	1	8	yes	complemented
56	C₆₁×#552	C₂²	1	4	yes	complemented
57	C₆₁×#552	C₂²	1	4	yes	complemented
58	C₆₁×#552	C₂²	1	4	yes	complemented
59	C₆₁×#551	C₂²	1	8	yes	complemented
60	C₆₁×#551	C₂²	1	8	yes	complemented
61	C₆₁×#551	C₂²	1	8	yes	complemented
62	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
63	D₄×Q₈×C₆₁	C₂²	1	8	yes	complemented
64	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
65	C₆₁×#548	C₂²	1	8	yes	complemented
66	C₆₁×#548	C₂²	1	4	yes	complemented
67	C₆₁×#548	C₂²	1	4	yes	complemented
68	C₆₁×#548	C₂²	1	4	yes	complemented
69	C₆₁×#547	C₂²	1	4	yes	complemented
70	C₆₁×#547	C₂²	1	2	yes	complemented
71	C₆₁×#547	C₂²	1	8	yes	complemented
72	C₆₁×#547	C₂²	1	2	yes	complemented
73	C₆₁×#546	C₂²	1	4	yes	complemented
74	C₆₁×#546	C₂²	1	8	yes	complemented
75	C₆₁×#544	C₂²	1	2	yes	complemented
76	C₆₁×#544	C₂²	1	4	yes	complemented
77	C₆₁×#544	C₂²	1	4	yes	complemented
78	C₆₁×#544	C₂²	1	2	yes	complemented
79	C₆₁×#543	C₂²	1	1	yes	characteristic
80	C₆₁×#543	C₂²	1	2	yes	—
81	C₆₁×#543	C₂²	1	4	yes	complemented
82	C₆₁×#543	C₂²	1	2	yes	complemented
83	C₆₁×#542	C₂²	1	4	yes	complemented
84	C₆₁×#542	C₂²	1	4	yes	complemented
85	C₆₁×#542	C₂²	1	8	yes	complemented
86	C₆₁×#542	C₂²	1	4	yes	complemented
87	C₆₁×#542	C₂²	1	8	yes	complemented
88	C₆₁×#541	C₂²	1	8	yes	complemented
89	C₆₁×#541	C₂²	1	4	yes	complemented
90	C₆₁×#541	C₂²	1	8	yes	complemented
91	C₆₁×#541	C₂²	1	8	yes	complemented
92	C₆₁×#541	C₂²	1	4	yes	complemented
93	C₆₁×#539	C₂²	1	4	yes	—
94	C₆₁×#539	C₂²	1	2	yes	—
95	C₆₁×#539	C₂²	1	8	yes	complemented
96	C₆₁×#539	C₂²	1	8	yes	complemented
97	C₆₁×#539	C₂²	1	4	yes	complemented
98	C₆₁×#539	C₂²	1	4	yes	complemented
99	C₆₁×#539	C₂²	1	4	yes	complemented
100	C₆₁×#539	C₂²	1	8	yes	complemented
101	C₆₁×#539	C₂²	1	8	yes	complemented
102	C₆₁×#539	C₂²	1	8	yes	complemented
103	C₆₁×#539	C₂²	1	8	yes	complemented
104	C₆₁×#538	C₂²	1	4	yes	—
105	C₆₁×#538	C₂²	1	2	yes	—
106	C₆₁×#538	C₂²	1	8	yes	complemented
107	C₆₁×#538	C₂²	1	4	yes	complemented
108	C₆₁×#538	C₂²	1	4	yes	complemented
109	C₆₁×#538	C₂²	1	8	yes	complemented
110	C₆₁×#537	C₂²	1	4	yes	complemented
111	C₆₁×#537	C₂²	1	4	yes	complemented
112	C₆₁×#536	C₂²	1	8	yes	complemented
113	C₆₁×#536	C₂²	1	2	yes	complemented
114	C₆₁×#534	C₂²	1	1	yes	characteristic
115	C₆₁×#534	C₂²	1	2	yes	—
116	C₆₁×#534	C₂²	1	4	yes	—
117	C₆₁×#533	C₂²	1	2	yes	complemented
118	C₆₁×#533	C₂²	1	4	yes	complemented
119	C₂×C₄⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
120	C₆₁×#529	C₂²	1	2	yes	—
121	C₆₁×#529	C₂²	1	4	yes	—
122	C₆₁×#529	C₂²	1	4	yes	complemented
123	C₆₁×#529	C₂²	1	4	yes	complemented
124	C₆₁×#529	C₂²	1	8	yes	complemented
125	C₆₁×#529	C₂²	1	8	yes	complemented
126	C₂×#126×C₆₁	C₂²	1	2	yes	complemented
127	C₂×#125×C₆₁	C₂²	1	4	yes	complemented
128	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic, complemented
129	C₆₁×#525	C₂²	1	2	yes	—
130	C₆₁×#525	C₂²	1	4	yes	—
131	C₆₁×#525	C₂²	1	4	yes	complemented
132	C₆₁×#525	C₂²	1	8	yes	complemented
133	C₆₁×#525	C₂²	1	8	yes	complemented
134	C₆₁×#525	C₂²	1	4	yes	complemented
135	C₂×#123×C₆₁	C₂²	1	2	yes	complemented
136	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	—
137	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	—
138	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
139	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	complemented
140	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
141	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	complemented
142	C₂×#121×C₆₁	C₂²	1	2	yes	—
143	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
144	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic, complemented
145	C₆₁×#520	C₂²	1	2	yes	complemented
146	C₆₁×#520	C₂²	1	4	yes	complemented
147	C₆₁×#519	C₂²	1	2	yes	complemented
148	C₆₁×#518	C₂²	1	4	yes	—
149	C₆₁×#518	C₂²	1	2	yes	—
150	C₂×C₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
151	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	—
152	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
153	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	—
154	C₂×C₄×D₄×C₆₁	C₂²	1	4	yes	—
155	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
156	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic, complemented
157	C₂²×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
158	C₂²×C₄⋊C₄×C₆₁	C₂²	1	2	yes	complemented
159	C₂×#41×C₆₁	C₂³	1	2	yes	—
160	C₂×#41×C₆₁	C₂³	1	4	yes	—
161	C₂×#41×C₆₁	C₂³	1	8	yes	—
162	C₂×#41×C₆₁	C₂³	1	4	yes	—
163	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
164	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
165	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
166	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
167	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
168	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
169	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
170	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
171	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
172	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
173	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
174	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
175	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
176	C₂³×C₄×C₆₁	C₂³	1	4	yes	—
177	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
178	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
179	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
180	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
181	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
182	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
183	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
184	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
185	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
186	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
187	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
188	#126×C₆₁	C₂³	1	8	yes	—
189	#126×C₆₁	C₂³	1	4	yes	—
190	#126×C₆₁	C₂³	1	8	yes	—
191	#126×C₆₁	C₂³	1	4	yes	—
192	#126×C₆₁	C₂³	1	4	yes	—
193	#126×C₆₁	C₂³	1	8	yes	—
194	#126×C₆₁	C₂³	1	8	yes	—
195	#126×C₆₁	C₂³	1	8	yes	—
196	#126×C₆₁	C₂³	1	8	yes	—
197	#126×C₆₁	C₂³	1	8	yes	—
198	#126×C₆₁	C₂³	1	8	yes	—
199	#126×C₆₁	C₂³	1	8	yes	—
200	#126×C₆₁	C₂³	1	8	yes	—
201	#126×C₆₁	C₂³	1	8	yes	—
202	#126×C₆₁	C₂³	1	8	yes	—
203	#126×C₆₁	C₂³	1	8	yes	—
204	#126×C₆₁	C₂³	1	8	yes	—
205	#125×C₆₁	C₂³	1	4	yes	—
206	#125×C₆₁	C₂³	1	8	yes	—
207	#125×C₆₁	C₂³	1	4	yes	—
208	#125×C₆₁	C₂³	1	8	yes	—
209	#125×C₆₁	C₂³	1	4	yes	—
210	#125×C₆₁	C₂³	1	8	yes	—
211	#125×C₆₁	C₂³	1	2	yes	—
212	#125×C₆₁	C₂³	1	8	yes	—
213	#125×C₆₁	C₂³	1	8	yes	—
214	#125×C₆₁	C₂³	1	8	yes	—
215	#125×C₆₁	C₂³	1	8	yes	—
216	#125×C₆₁	C₂³	1	8	yes	—
217	#125×C₆₁	C₂³	1	8	yes	—
218	#125×C₆₁	C₂³	1	8	yes	—
219	#125×C₆₁	C₂³	1	8	yes	—
220	#125×C₆₁	C₂³	1	8	yes	—
221	#125×C₆₁	C₂³	1	8	yes	—
222	#125×C₆₁	C₂³	1	4	yes	—
223	#125×C₆₁	C₂³	1	4	yes	—
224	#125×C₆₁	C₂³	1	4	yes	—
225	#124×C₆₁	C₂³	1	4	yes	—
226	#124×C₆₁	C₂³	1	4	yes	—
227	#124×C₆₁	C₂³	1	8	yes	—
228	#124×C₆₁	C₂³	1	8	yes	—
229	#124×C₆₁	C₂³	1	2	yes	—
230	#124×C₆₁	C₂³	1	8	yes	—
231	#124×C₆₁	C₂³	1	8	yes	—
232	#124×C₆₁	C₂³	1	4	yes	—
233	#124×C₆₁	C₂³	1	8	yes	—
234	#123×C₆₁	C₂³	1	4	yes	—
235	#123×C₆₁	C₂³	1	8	yes	—
236	#123×C₆₁	C₂³	1	4	yes	—
237	#123×C₆₁	C₂³	1	4	yes	—
238	#123×C₆₁	C₂³	1	8	yes	—
239	#123×C₆₁	C₂³	1	8	yes	—
240	#123×C₆₁	C₂³	1	8	yes	—
241	#123×C₆₁	C₂³	1	8	yes	—
242	#123×C₆₁	C₂³	1	8	yes	—
243	#123×C₆₁	C₂³	1	8	yes	—
244	#123×C₆₁	C₂³	1	4	yes	—
245	#123×C₆₁	C₂³	1	8	yes	—
246	#123×C₆₁	C₂³	1	4	yes	—
247	#123×C₆₁	C₂³	1	8	yes	—
248	#123×C₆₁	C₂³	1	8	yes	—
249	#123×C₆₁	C₂³	1	4	yes	—
250	#123×C₆₁	C₂³	1	8	yes	—
251	#123×C₆₁	C₂³	1	8	yes	—
252	#123×C₆₁	C₂³	1	8	yes	—
253	#123×C₆₁	C₂³	1	8	yes	—
254	#123×C₆₁	C₂³	1	8	yes	—
255	#123×C₆₁	C₂³	1	8	yes	—
256	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
257	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
258	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
259	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
260	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
261	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
262	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
263	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
264	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
265	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
266	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
267	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
268	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
269	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
270	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
271	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
272	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
273	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
274	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
275	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
276	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
277	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
278	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
279	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
280	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
281	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
282	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
283	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
284	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
285	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
286	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
287	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
288	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
289	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
290	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
291	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
292	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
293	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
294	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
295	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
296	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
297	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
298	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
299	#121×C₆₁	C₂³	1	2	yes	—
300	#121×C₆₁	C₂³	1	2	yes	—
301	#121×C₆₁	C₂³	1	4	yes	—
302	#121×C₆₁	C₂³	1	8	yes	—
303	#121×C₆₁	C₂³	1	8	yes	—
304	#121×C₆₁	C₂³	1	4	yes	—
305	#121×C₆₁	C₂³	1	8	yes	—
306	#121×C₆₁	C₂³	1	2	yes	—
307	#121×C₆₁	C₂³	1	8	yes	—
308	#121×C₆₁	C₂³	1	8	yes	—
309	#121×C₆₁	C₂³	1	8	yes	—
310	#121×C₆₁	C₂³	1	8	yes	—
311	#121×C₆₁	C₂³	1	4	yes	—
312	#121×C₆₁	C₂³	1	4	yes	—
313	#121×C₆₁	C₂³	1	4	yes	—
314	#121×C₆₁	C₂³	1	4	yes	—
315	#121×C₆₁	C₂³	1	4	yes	—
316	#121×C₆₁	C₂³	1	8	yes	—
317	#121×C₆₁	C₂³	1	4	yes	—
318	#121×C₆₁	C₂³	1	4	yes	—
319	#121×C₆₁	C₂³	1	8	yes	—
320	#120×C₆₁	C₂³	1	4	yes	—
321	#120×C₆₁	C₂³	1	8	yes	—
322	#120×C₆₁	C₂³	1	4	yes	—
323	#120×C₆₁	C₂³	1	4	yes	—
324	#120×C₆₁	C₂³	1	8	yes	—
325	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
326	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
327	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
328	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
329	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
330	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
331	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
332	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
333	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
334	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
335	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
336	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
337	C₄×D₄×C₆₁	C₂³	1	8	yes	—
338	C₄×D₄×C₆₁	C₂³	1	4	yes	—
339	C₄×D₄×C₆₁	C₂³	1	8	yes	—
340	C₄×D₄×C₆₁	C₂³	1	8	yes	—
341	C₄×D₄×C₆₁	C₂³	1	4	yes	—
342	C₄×D₄×C₆₁	C₂³	1	4	yes	—
343	C₄×D₄×C₆₁	C₂³	1	8	yes	—
344	C₄×D₄×C₆₁	C₂³	1	8	yes	—
345	C₄×D₄×C₆₁	C₂³	1	8	yes	—
346	C₄×D₄×C₆₁	C₂³	1	8	yes	—
347	C₄×D₄×C₆₁	C₂³	1	4	yes	—
348	C₄×D₄×C₆₁	C₂³	1	8	yes	—
349	C₄×D₄×C₆₁	C₂³	1	4	yes	—
350	C₄×D₄×C₆₁	C₂³	1	8	yes	—
351	C₄×D₄×C₆₁	C₂³	1	8	yes	—
352	C₄×D₄×C₆₁	C₂³	1	8	yes	—
353	C₄×D₄×C₆₁	C₂³	1	8	yes	—
354	C₄×D₄×C₆₁	C₂³	1	8	yes	—
355	C₄×D₄×C₆₁	C₂³	1	8	yes	—
356	C₄×D₄×C₆₁	C₂³	1	2	yes	—
357	C₄×D₄×C₆₁	C₂³	1	4	yes	—
358	C₄×D₄×C₆₁	C₂³	1	4	yes	—
359	C₄×D₄×C₆₁	C₂³	1	2	yes	—
360	C₄×D₄×C₆₁	C₂³	1	4	yes	—
361	C₄×D₄×C₆₁	C₂³	1	2	yes	—
362	C₄×D₄×C₆₁	C₂³	1	4	yes	—
363	C₄×D₄×C₆₁	C₂³	1	4	yes	—
364	C₄×D₄×C₆₁	C₂³	1	8	yes	—
365	C₄×D₄×C₆₁	C₂³	1	8	yes	—
366	C₄×D₄×C₆₁	C₂³	1	8	yes	—
367	#117×C₆₁	C₂³	1	8	yes	—
368	#117×C₆₁	C₂³	1	4	yes	—
369	#117×C₆₁	C₂³	1	8	yes	—
370	#117×C₆₁	C₂³	1	2	yes	—
371	#117×C₆₁	C₂³	1	4	yes	—
372	#117×C₆₁	C₂³	1	8	yes	—
373	#117×C₆₁	C₂³	1	4	yes	—
374	#117×C₆₁	C₂³	1	8	yes	—
375	#117×C₆₁	C₂³	1	2	yes	—
376	#117×C₆₁	C₂³	1	8	yes	—
377	#117×C₆₁	C₂³	1	4	yes	—
378	#117×C₆₁	C₂³	1	4	yes	—
379	#117×C₆₁	C₂³	1	8	yes	—
380	#117×C₆₁	C₂³	1	2	yes	—
381	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
382	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
383	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
384	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
385	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
386	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
387	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
389	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
390	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
391	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
392	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
393	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
394	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
396	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
397	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
398	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
399	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
400	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
401	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
402	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
404	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
405	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
406	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
407	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
408	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
409	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
410	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
411	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
412	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
413	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
414	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
415	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
416	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
417	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
418	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
419	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
420	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
421	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
422	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
423	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
424	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
425	#41×C₆₁	—	4	4	no	—
426	#41×C₆₁	—	4	8	no	—
427	#41×C₆₁	—	8	4	no	—
428	#41×C₆₁	—	8	8	no	—
429	C₂×Q₈×C₆₁	—	4	4	no	—
430	C₂×Q₈×C₆₁	—	4	4	no	—
431	C₂×Q₈×C₆₁	—	8	4	no	—
432	C₂×Q₈×C₆₁	—	8	4	no	—
433	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
434	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
435	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
436	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
437	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
438	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
439	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
440	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
441	C₂×D₄×C₆₁	—	2	8	no	—
442	C₂×D₄×C₆₁	—	2	8	no	—
443	C₂×D₄×C₆₁	—	2	4	no	—
444	C₂×D₄×C₆₁	—	4	2	no	—
445	C₂×D₄×C₆₁	—	8	2	no	—
446	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
447	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
448	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
449	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
450	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
451	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
452	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
453	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
454	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
455	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
456	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
457	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
458	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
459	C₂²×C₄×C₆₁	—	4	2	no	—
460	C₂²×C₄×C₆₁	—	4	2	no	—
461	C₂²×C₄×C₆₁	—	4	4	no	—
462	C₂²×C₄×C₆₁	—	8	2	no	—
463	C₂²×C₄×C₆₁	—	8	2	no	—
464	C₂²×C₄×C₆₁	—	8	4	no	—
465	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
466	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
471	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
472	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
474	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
475	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
476	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
478	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
480	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
481	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
482	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
484	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
485	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
486	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
487	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
488	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
489	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
490	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
491	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
492	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
493	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
494	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
495	C₄⋊C₄×C₆₁	C₂⁴	1	2	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	2	yes	—
500	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
501	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
502	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
503	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
504	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
505	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
506	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
507	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
508	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
509	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
510	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
511	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
512	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
513	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
514	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
515	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
516	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
517	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
518	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
519	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
520	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
521	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
522	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
523	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
524	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
525	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
526	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
527	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
528	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
529	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
530	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
531	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
532	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
533	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
534	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
535	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
536	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
537	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
538	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
539	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
540	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
541	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
542	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
543	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
544	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
545	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
546	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
547	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
548	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
549	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
550	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
551	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
552	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
553	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
554	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
555	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
556	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
557	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
558	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
559	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
560	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
561	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
562	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
563	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
564	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
565	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
566	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
567	C₄²×C₆₁	C₂⁴	1	4	yes	—
568	C₄²×C₆₁	C₂⁴	1	8	yes	—
569	C₄²×C₆₁	C₂⁴	1	2	yes	—
570	C₄²×C₆₁	C₂⁴	1	4	yes	—
571	C₄²×C₆₁	C₂⁴	1	4	yes	—
572	C₄²×C₆₁	C₂⁴	1	4	yes	—
573	C₄²×C₆₁	C₂⁴	1	2	yes	—
574	C₄²×C₆₁	C₂⁴	1	8	yes	—
575	C₄²×C₆₁	C₂⁴	1	8	yes	—
576	C₄²×C₆₁	C₂⁴	1	8	yes	—
577	C₄²×C₆₁	C₂⁴	1	8	yes	—
578	C₂³×C₆₁	—	2	4	no	—
579	C₂³×C₆₁	—	2	2	no	—
580	C₂³×C₆₁	—	2	4	no	—
581	C₂³×C₆₁	—	4	1	no	—
582	C₂³×C₆₁	—	4	2	no	—
583	C₂³×C₆₁	—	4	1	no	—
584	C₂³×C₆₁	—	4	2	no	—
585	C₂³×C₆₁	—	4	1	no	—
586	C₂³×C₆₁	—	4	2	no	—
587	C₂³×C₆₁	—	4	2	no	—
588	C₂³×C₆₁	—	4	1	no	—
589	C₂³×C₆₁	2₋¹⁺⁴	1	4	yes	—
590	C₂³×C₆₁	C₂⁵	1	2	yes	—
591	C₂³×C₆₁	C₂⁵	1	4	yes	—
592	C₂³×C₆₁	C₂⁵	1	4	yes	—
593	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
594	C₂³×C₆₁	C₂⁵	1	2	yes	—
595	Q₈×C₆₁	—	2	8	no	—
596	Q₈×C₆₁	—	4	4	no	—
597	Q₈×C₆₁	—	4	4	no	—
598	Q₈×C₆₁	—	4	8	no	—
599	Q₈×C₆₁	—	4	2	no	—
600	Q₈×C₆₁	—	4	8	no	—
601	Q₈×C₆₁	—	4	4	no	—
602	Q₈×C₆₁	—	4	2	no	—
603	D₄×C₆₁	—	2	8	no	—
604	D₄×C₆₁	—	2	8	no	—
605	D₄×C₆₁	—	2	16	no	—
606	D₄×C₆₁	—	2	8	no	—
607	D₄×C₆₁	—	2	4	no	—
608	D₄×C₆₁	—	4	2	no	—
609	D₄×C₆₁	—	4	8	no	—
610	D₄×C₆₁	—	4	4	no	—
611	D₄×C₆₁	—	4	2	no	—
612	D₄×C₆₁	—	4	8	no	—
613	D₄×C₆₁	—	4	2	no	—
614	D₄×C₆₁	—	4	8	no	—
615	D₄×C₆₁	—	4	4	no	—
616	C₂×C₄×C₆₁	—	2	4	no	—
617	C₂×C₄×C₆₁	—	2	2	no	—
618	C₂×C₄×C₆₁	—	2	4	no	—
619	C₂×C₄×C₆₁	—	2	2	no	—
620	C₂×C₄×C₆₁	—	2	4	no	—
621	C₂×C₄×C₆₁	—	2	4	no	—
622	C₂×C₄×C₆₁	—	2	8	no	—
623	C₂×C₄×C₆₁	—	4	2	no	—
624	C₂×C₄×C₆₁	—	4	2	no	—
625	C₂×C₄×C₆₁	—	4	2	no	—
626	C₂×C₄×C₆₁	—	4	4	no	—
627	C₂×C₄×C₆₁	—	4	1	no	—
628	C₂×C₄×C₆₁	—	4	1	no	—
629	C₂×C₄×C₆₁	—	4	4	no	—
630	C₂×C₄×C₆₁	—	4	2	no	—
631	C₂×C₄×C₆₁	—	4	1	no	—
632	C₂×C₄×C₆₁	—	4	2	no	—
633	C₂×C₄×C₆₁	—	4	4	no	—
634	C₂×C₄×C₆₁	—	4	4	no	—
635	C₂×C₄×C₆₁	—	4	4	no	—
636	C₂×C₄×C₆₁	—	4	4	no	—
637	C₂×C₄×C₆₁	—	4	8	no	—
638	C₂×C₄×C₆₁	—	4	8	no	—
639	C₂×C₄×C₆₁	—	4	4	no	—
640	C₂×C₄×C₆₁	—	4	4	no	—
641	C₂×C₄×C₆₁	—	4	2	no	—
642	C₂×C₄×C₆₁	—	4	8	no	—
643	C₂×C₄×C₆₁	—	4	8	no	—
644	C₂×C₄×C₆₁	—	4	4	no	—
645	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
646	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
647	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
648	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
649	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
650	C₂×C₄×C₆₁	C₂⁵	1	8	yes	—
651	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
652	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
653	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
654	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
655	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
656	C₂×C₄×C₆₁	C₂⁵	1	8	yes	—
657	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
658	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
659	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
660	#62902	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
661	C₂²×C₆₁	—	2	2	no	—
662	C₂²×C₆₁	—	2	1	no	—
663	C₂²×C₆₁	—	2	2	no	—
664	C₂²×C₆₁	—	2	1	no	—
665	C₂²×C₆₁	—	2	4	no	—
666	C₂²×C₆₁	—	2	2	no	—
667	C₂²×C₆₁	—	2	4	no	—
668	C₂²×C₆₁	—	2	2	no	—
669	C₂²×C₆₁	—	2	4	no	—
670	C₂²×C₆₁	—	2	4	no	—
671	C₂²×C₆₁	—	2	4	no	—
672	C₂²×C₆₁	—	2	4	no	—
673	C₂²×C₆₁	—	2	2	no	—
674	C₂²×C₆₁	—	4	4	no	—
675	C₂²×C₆₁	—	4	8	no	—
676	C₂²×C₆₁	—	8	2	no	—
677	C₂²×C₆₁	—	8	4	no	—
678	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	2	yes	—
679	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	4	yes	—
680	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
681	C₄×C₆₁	—	2	4	no	—
682	C₄×C₆₁	—	2	2	no	—
683	C₄×C₆₁	—	2	4	no	—
684	C₄×C₆₁	—	2	1	no	—
685	C₄×C₆₁	—	2	4	no	—
686	C₄×C₆₁	—	2	2	no	—
687	C₄×C₆₁	—	2	2	no	—
688	C₄×C₆₁	—	2	8	no	—
689	C₄×C₆₁	—	2	2	no	—
690	C₄×C₆₁	—	2	4	no	—
691	C₄×C₆₁	—	2	2	no	—
692	C₄×C₆₁	—	2	8	no	—
693	C₄×C₆₁	—	2	2	no	—
694	C₄×C₆₁	—	2	4	no	—
695	C₄×C₆₁	#585	1	2	yes	—
696	#3564	C₂×C₆₁	1	4	yes	complemented
697	#3563	C₂×C₆₁	1	2	yes	complemented
698	#3553	C₂×C₆₁	1	8	yes	complemented
699	#3552	C₂×C₆₁	1	4	yes	complemented
700	#3541	C₂×C₆₁	1	4	yes	complemented
701	#3541	C₂×C₆₁	1	8	yes	complemented
702	#3536	C₂×C₆₁	1	2	yes	complemented
703	#3535	C₂×C₆₁	1	4	yes	complemented
704	#3520	C₂×C₆₁	1	2	yes	complemented
705	#3516	C₂×C₆₁	1	4	yes	complemented
706	#3505	C₂×C₆₁	1	2	yes	complemented
707	#3505	C₂×C₆₁	1	4	yes	complemented
708	#3501	C₂×C₆₁	1	1	yes	characteristic, complemented
709	#3501	C₂×C₆₁	1	2	yes	complemented
710	#3495	C₂×C₆₁	1	2	yes	complemented
711	#3492	C₂×C₆₁	1	4	yes	complemented
712	C₂×#554	C₂×C₆₁	1	2	yes	complemented
713	C₂×#553	C₂×C₆₁	1	1	yes	characteristic, complemented
714	#3459	C₂×C₆₁	1	1	yes	characteristic, complemented
715	#3459	C₂×C₆₁	1	2	yes	complemented
716	C₂×C₆₁	—	2	4	no	—
717	C₂×C₆₁	—	2	2	no	—
718	C₂×C₆₁	—	4	4	no	—
719	C₂×C₆₁	—	4	2	no	—
720	C₂×C₆₁	—	4	4	no	—
721	C₂×C₆₁	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
722	C₂×C₆₁	C₂×#585	1	1	yes	characteristic
723	C₂×C₆₁	H(7,𝔽₂)	1	1	yes	characteristic
724	#564	C₂²×C₆₁	1	4	yes	complemented
725	#563	C₂²×C₆₁	1	8	yes	complemented
726	#563	C₂²×C₆₁	1	4	yes	complemented
727	#563	C₂²×C₆₁	1	8	yes	complemented
728	#563	C₂²×C₆₁	1	8	yes	complemented
729	#562	C₂²×C₆₁	1	8	yes	complemented
730	#562	C₂²×C₆₁	1	8	yes	complemented
731	#557	C₂²×C₆₁	1	4	yes	complemented
732	#556	C₂²×C₆₁	1	4	yes	complemented
733	#556	C₂²×C₆₁	1	2	yes	complemented
734	#556	C₂²×C₆₁	1	8	yes	complemented
735	#554	C₂²×C₆₁	1	4	yes	complemented
736	#554	C₂²×C₆₁	1	4	yes	complemented
737	#554	C₂²×C₆₁	1	8	yes	complemented
738	#554	C₂²×C₆₁	1	4	yes	complemented
739	#554	C₂²×C₆₁	1	4	yes	complemented
740	#554	C₂²×C₆₁	1	8	yes	complemented
741	#554	C₂²×C₆₁	1	4	yes	complemented
742	#554	C₂²×C₆₁	1	8	yes	complemented
743	#554	C₂²×C₆₁	1	8	yes	complemented
744	#554	C₂²×C₆₁	1	8	yes	complemented
745	#554	C₂²×C₆₁	1	8	yes	complemented
746	#553	C₂²×C₆₁	1	4	yes	complemented
747	#553	C₂²×C₆₁	1	4	yes	complemented
748	#553	C₂²×C₆₁	1	8	yes	complemented
749	#553	C₂²×C₆₁	1	4	yes	complemented
750	#553	C₂²×C₆₁	1	8	yes	complemented
751	#553	C₂²×C₆₁	1	8	yes	complemented
752	#553	C₂²×C₆₁	1	8	yes	complemented
753	#553	C₂²×C₆₁	1	8	yes	complemented
754	#552	C₂²×C₆₁	1	4	yes	complemented
755	#552	C₂²×C₆₁	1	4	yes	complemented
756	#552	C₂²×C₆₁	1	8	yes	complemented
757	#552	C₂²×C₆₁	1	4	yes	complemented
758	#552	C₂²×C₆₁	1	8	yes	complemented
759	#552	C₂²×C₆₁	1	8	yes	complemented
760	#552	C₂²×C₆₁	1	8	yes	complemented
761	#552	C₂²×C₆₁	1	4	yes	complemented
762	#551	C₂²×C₆₁	1	8	yes	complemented
763	#551	C₂²×C₆₁	1	8	yes	complemented
764	#551	C₂²×C₆₁	1	8	yes	complemented
765	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
766	D₄×Q₈	C₂²×C₆₁	1	8	yes	complemented
767	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
768	#548	C₂²×C₆₁	1	4	yes	complemented
769	#548	C₂²×C₆₁	1	8	yes	complemented
770	#548	C₂²×C₆₁	1	4	yes	complemented
771	#548	C₂²×C₆₁	1	4	yes	complemented
772	#547	C₂²×C₆₁	1	2	yes	complemented
773	#547	C₂²×C₆₁	1	8	yes	complemented
774	#547	C₂²×C₆₁	1	4	yes	complemented
775	#547	C₂²×C₆₁	1	2	yes	complemented
776	#546	C₂²×C₆₁	1	4	yes	complemented
777	#546	C₂²×C₆₁	1	8	yes	complemented
778	#544	C₂²×C₆₁	1	4	yes	complemented
779	#544	C₂²×C₆₁	1	2	yes	complemented
780	#544	C₂²×C₆₁	1	4	yes	complemented
781	#544	C₂²×C₆₁	1	2	yes	complemented
782	#543	C₂²×C₆₁	1	1	yes	characteristic
783	#543	C₂²×C₆₁	1	2	yes	—
784	#543	C₂²×C₆₁	1	2	yes	complemented
785	#543	C₂²×C₆₁	1	4	yes	complemented
786	#542	C₂²×C₆₁	1	4	yes	complemented
787	#542	C₂²×C₆₁	1	8	yes	complemented
788	#542	C₂²×C₆₁	1	4	yes	complemented
789	#542	C₂²×C₆₁	1	4	yes	complemented
790	#542	C₂²×C₆₁	1	8	yes	complemented
791	#541	C₂²×C₆₁	1	4	yes	complemented
792	#541	C₂²×C₆₁	1	4	yes	complemented
793	#541	C₂²×C₆₁	1	8	yes	complemented
794	#541	C₂²×C₆₁	1	8	yes	complemented
795	#541	C₂²×C₆₁	1	8	yes	complemented
796	#539	C₂²×C₆₁	1	4	yes	—
797	#539	C₂²×C₆₁	1	2	yes	—
798	#539	C₂²×C₆₁	1	8	yes	complemented
799	#539	C₂²×C₆₁	1	4	yes	complemented
800	#539	C₂²×C₆₁	1	8	yes	complemented
801	#539	C₂²×C₆₁	1	8	yes	complemented
802	#539	C₂²×C₆₁	1	8	yes	complemented
803	#539	C₂²×C₆₁	1	4	yes	complemented
804	#539	C₂²×C₆₁	1	8	yes	complemented
805	#539	C₂²×C₆₁	1	8	yes	complemented
806	#539	C₂²×C₆₁	1	4	yes	complemented
807	#538	C₂²×C₆₁	1	2	yes	—
808	#538	C₂²×C₆₁	1	4	yes	—
809	#538	C₂²×C₆₁	1	8	yes	complemented
810	#538	C₂²×C₆₁	1	4	yes	complemented
811	#538	C₂²×C₆₁	1	4	yes	complemented
812	#538	C₂²×C₆₁	1	8	yes	complemented
813	#537	C₂²×C₆₁	1	4	yes	complemented
814	#537	C₂²×C₆₁	1	4	yes	complemented
815	#536	C₂²×C₆₁	1	2	yes	complemented
816	#536	C₂²×C₆₁	1	8	yes	complemented
817	#534	C₂²×C₆₁	1	1	yes	characteristic
818	#534	C₂²×C₆₁	1	4	yes	—
819	#534	C₂²×C₆₁	1	2	yes	—
820	#533	C₂²×C₆₁	1	4	yes	complemented
821	#533	C₂²×C₆₁	1	2	yes	complemented
822	C₂×C₄⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
823	#529	C₂²×C₆₁	1	4	yes	—
824	#529	C₂²×C₆₁	1	2	yes	—
825	#529	C₂²×C₆₁	1	4	yes	complemented
826	#529	C₂²×C₆₁	1	8	yes	complemented
827	#529	C₂²×C₆₁	1	4	yes	complemented
828	#529	C₂²×C₆₁	1	8	yes	complemented
829	C₂×#126	C₂²×C₆₁	1	2	yes	complemented
830	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic, complemented
831	C₂×#125	C₂²×C₆₁	1	4	yes	complemented
832	#525	C₂²×C₆₁	1	2	yes	—
833	#525	C₂²×C₆₁	1	4	yes	—
834	#525	C₂²×C₆₁	1	4	yes	complemented
835	#525	C₂²×C₆₁	1	8	yes	complemented
836	#525	C₂²×C₆₁	1	4	yes	complemented
837	#525	C₂²×C₆₁	1	8	yes	complemented
838	C₂×#123	C₂²×C₆₁	1	2	yes	complemented
839	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	—
840	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	—
841	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	complemented
842	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
843	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
844	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	complemented
845	C₂×#121	C₂²×C₆₁	1	2	yes	—
846	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
847	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic, complemented
848	#520	C₂²×C₆₁	1	2	yes	complemented
849	#520	C₂²×C₆₁	1	4	yes	complemented
850	#519	C₂²×C₆₁	1	2	yes	complemented
851	#518	C₂²×C₆₁	1	2	yes	—
852	#518	C₂²×C₆₁	1	4	yes	—
853	C₂×C₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
854	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	—
855	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
856	C₂×C₄×D₄	C₂²×C₆₁	1	4	yes	—
857	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	—
858	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
859	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic, complemented
860	C₂²×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
861	C₂²×C₄⋊C₄	C₂²×C₆₁	1	2	yes	complemented
862	C₆₁	#62902	1	1	yes	characteristic, direct product factor, Sylow
863	C₂×#41	C₂³×C₆₁	1	2	yes	—
864	C₂×#41	C₂³×C₆₁	1	4	yes	—
865	C₂×#41	C₂³×C₆₁	1	4	yes	—
866	C₂×#41	C₂³×C₆₁	1	8	yes	—
867	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
868	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
869	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
870	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
871	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
872	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
873	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
874	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
875	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
876	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
877	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
878	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
879	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
880	C₂³×C₄	C₂³×C₆₁	1	4	yes	—
881	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
882	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
883	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
884	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
885	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
886	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
887	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
888	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
889	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
890	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
891	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
892	#126	C₂³×C₆₁	1	8	yes	—
893	#126	C₂³×C₆₁	1	8	yes	—
894	#126	C₂³×C₆₁	1	4	yes	—
895	#126	C₂³×C₆₁	1	8	yes	—
896	#126	C₂³×C₆₁	1	8	yes	—
897	#126	C₂³×C₆₁	1	4	yes	—
898	#126	C₂³×C₆₁	1	8	yes	—
899	#126	C₂³×C₆₁	1	4	yes	—
900	#126	C₂³×C₆₁	1	8	yes	—
901	#126	C₂³×C₆₁	1	8	yes	—
902	#126	C₂³×C₆₁	1	8	yes	—
903	#126	C₂³×C₆₁	1	8	yes	—
904	#126	C₂³×C₆₁	1	8	yes	—
905	#126	C₂³×C₆₁	1	8	yes	—
906	#126	C₂³×C₆₁	1	8	yes	—
907	#126	C₂³×C₆₁	1	8	yes	—
908	#126	C₂³×C₆₁	1	8	yes	—
909	#125	C₂³×C₆₁	1	8	yes	—
910	#125	C₂³×C₆₁	1	8	yes	—
911	#125	C₂³×C₆₁	1	8	yes	—
912	#125	C₂³×C₆₁	1	8	yes	—
913	#125	C₂³×C₆₁	1	4	yes	—
914	#125	C₂³×C₆₁	1	4	yes	—
915	#125	C₂³×C₆₁	1	4	yes	—
916	#125	C₂³×C₆₁	1	2	yes	—
917	#125	C₂³×C₆₁	1	4	yes	—
918	#125	C₂³×C₆₁	1	8	yes	—
919	#125	C₂³×C₆₁	1	8	yes	—
920	#125	C₂³×C₆₁	1	4	yes	—
921	#125	C₂³×C₆₁	1	4	yes	—
922	#125	C₂³×C₆₁	1	8	yes	—
923	#125	C₂³×C₆₁	1	8	yes	—
924	#125	C₂³×C₆₁	1	8	yes	—
925	#125	C₂³×C₆₁	1	8	yes	—
926	#125	C₂³×C₆₁	1	8	yes	—
927	#125	C₂³×C₆₁	1	8	yes	—
928	#125	C₂³×C₆₁	1	8	yes	—
929	#124	C₂³×C₆₁	1	4	yes	—
930	#124	C₂³×C₆₁	1	2	yes	—
931	#124	C₂³×C₆₁	1	4	yes	—
932	#124	C₂³×C₆₁	1	8	yes	—
933	#124	C₂³×C₆₁	1	4	yes	—
934	#124	C₂³×C₆₁	1	8	yes	—
935	#124	C₂³×C₆₁	1	8	yes	—
936	#124	C₂³×C₆₁	1	8	yes	—
937	#124	C₂³×C₆₁	1	8	yes	—
938	#123	C₂³×C₆₁	1	8	yes	—
939	#123	C₂³×C₆₁	1	8	yes	—
940	#123	C₂³×C₆₁	1	8	yes	—
941	#123	C₂³×C₆₁	1	4	yes	—
942	#123	C₂³×C₆₁	1	4	yes	—
943	#123	C₂³×C₆₁	1	8	yes	—
944	#123	C₂³×C₆₁	1	4	yes	—
945	#123	C₂³×C₆₁	1	8	yes	—
946	#123	C₂³×C₆₁	1	8	yes	—
947	#123	C₂³×C₆₁	1	8	yes	—
948	#123	C₂³×C₆₁	1	8	yes	—
949	#123	C₂³×C₆₁	1	4	yes	—
950	#123	C₂³×C₆₁	1	8	yes	—
951	#123	C₂³×C₆₁	1	4	yes	—
952	#123	C₂³×C₆₁	1	4	yes	—
953	#123	C₂³×C₆₁	1	8	yes	—
954	#123	C₂³×C₆₁	1	8	yes	—
955	#123	C₂³×C₆₁	1	8	yes	—
956	#123	C₂³×C₆₁	1	8	yes	—
957	#123	C₂³×C₆₁	1	8	yes	—
958	#123	C₂³×C₆₁	1	8	yes	—
959	#123	C₂³×C₆₁	1	8	yes	—
960	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
961	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
962	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
963	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
964	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
965	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
966	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
967	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
968	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
969	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
970	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
971	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
972	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
973	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
974	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
975	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
976	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
977	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
978	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
979	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
980	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
981	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
982	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
983	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
984	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
985	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
986	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
987	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
988	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
989	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
990	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
991	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
992	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
993	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
994	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
995	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
996	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
997	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
998	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
999	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1000	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1001	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1002	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1003	#121	C₂³×C₆₁	1	4	yes	—
1004	#121	C₂³×C₆₁	1	8	yes	—
1005	#121	C₂³×C₆₁	1	8	yes	—
1006	#121	C₂³×C₆₁	1	4	yes	—
1007	#121	C₂³×C₆₁	1	4	yes	—
1008	#121	C₂³×C₆₁	1	4	yes	—
1009	#121	C₂³×C₆₁	1	2	yes	—
1010	#121	C₂³×C₆₁	1	2	yes	—
1011	#121	C₂³×C₆₁	1	2	yes	—
1012	#121	C₂³×C₆₁	1	4	yes	—
1013	#121	C₂³×C₆₁	1	8	yes	—
1014	#121	C₂³×C₆₁	1	4	yes	—
1015	#121	C₂³×C₆₁	1	8	yes	—
1016	#121	C₂³×C₆₁	1	8	yes	—
1017	#121	C₂³×C₆₁	1	4	yes	—
1018	#121	C₂³×C₆₁	1	4	yes	—
1019	#121	C₂³×C₆₁	1	4	yes	—
1020	#121	C₂³×C₆₁	1	8	yes	—
1021	#121	C₂³×C₆₁	1	8	yes	—
1022	#121	C₂³×C₆₁	1	8	yes	—
1023	#121	C₂³×C₆₁	1	8	yes	—
1024	#120	C₂³×C₆₁	1	4	yes	—
1025	#120	C₂³×C₆₁	1	8	yes	—
1026	#120	C₂³×C₆₁	1	4	yes	—
1027	#120	C₂³×C₆₁	1	4	yes	—
1028	#120	C₂³×C₆₁	1	8	yes	—
1029	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1030	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1031	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1032	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1033	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1034	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1035	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1036	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1037	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1038	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1039	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1040	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1041	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1042	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1043	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1044	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1045	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1046	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1047	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1048	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1049	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1050	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1051	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1052	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1053	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1054	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1055	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1056	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1057	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1058	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1059	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1060	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1061	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1062	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1063	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1064	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1065	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1066	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1067	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1068	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1069	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1070	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1071	#117	C₂³×C₆₁	1	2	yes	—
1072	#117	C₂³×C₆₁	1	2	yes	—
1073	#117	C₂³×C₆₁	1	4	yes	—
1074	#117	C₂³×C₆₁	1	8	yes	—
1075	#117	C₂³×C₆₁	1	4	yes	—
1076	#117	C₂³×C₆₁	1	2	yes	—
1077	#117	C₂³×C₆₁	1	8	yes	—
1078	#117	C₂³×C₆₁	1	4	yes	—
1079	#117	C₂³×C₆₁	1	4	yes	—
1080	#117	C₂³×C₆₁	1	8	yes	—
1081	#117	C₂³×C₆₁	1	4	yes	—
1082	#117	C₂³×C₆₁	1	8	yes	—
1083	#117	C₂³×C₆₁	1	8	yes	—
1084	#117	C₂³×C₆₁	1	8	yes	—
1085	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1086	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1087	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1089	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1090	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1091	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1092	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1093	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1094	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1095	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1096	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1098	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1099	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1100	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1102	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1103	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1104	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1105	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1106	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1107	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1108	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1109	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1110	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1112	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1113	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1114	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1115	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1116	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1118	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1119	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1120	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1121	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1122	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1123	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1124	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1125	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1126	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
1127	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
1128	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1129	#41	—	4	4	no	—
1130	#41	—	4	8	no	—
1131	#41	—	8	4	no	—
1132	#41	—	8	8	no	—
1133	C₂×Q₈	—	4	4	no	—
1134	C₂×Q₈	—	4	4	no	—
1135	C₂×Q₈	—	8	4	no	—
1136	C₂×Q₈	—	8	4	no	—
1137	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1138	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1139	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1140	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1141	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1142	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1143	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1144	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1145	C₂×D₄	—	2	8	no	—
1146	C₂×D₄	—	2	8	no	—
1147	C₂×D₄	—	2	4	no	—
1148	C₂×D₄	—	4	2	no	—
1149	C₂×D₄	—	8	2	no	—
1150	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1151	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1152	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1153	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1154	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1155	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1156	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1157	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1158	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1159	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1160	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1161	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1162	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1163	C₂²×C₄	—	4	2	no	—
1164	C₂²×C₄	—	4	2	no	—
1165	C₂²×C₄	—	4	4	no	—
1166	C₂²×C₄	—	8	2	no	—
1167	C₂²×C₄	—	8	2	no	—
1168	C₂²×C₄	—	8	4	no	—
1169	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1170	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1171	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1173	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1175	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1176	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1178	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1179	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1180	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
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	4	yes	—
1186	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1187	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1188	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1189	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1190	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1191	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1192	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1193	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1194	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1195	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1196	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1197	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1198	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1199	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1200	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1201	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1202	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1203	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1204	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1205	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1206	C₄⋊C₄	C₂⁴×C₆₁	1	8	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	4	yes	—
1211	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1212	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1213	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1214	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1215	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1216	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1217	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1218	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1219	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1220	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1221	C₄⋊C₄	C₂⁴×C₆₁	1	4	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	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1226	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1227	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1228	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1229	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1230	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1231	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1232	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1233	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1234	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1235	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1236	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1237	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1238	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1239	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1240	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1241	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1242	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1243	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1244	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1245	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1246	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1247	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1248	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1249	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1250	C₂²⋊C₄	C₂⁴×C₆₁	1	4	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	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1255	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1256	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1257	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1258	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1259	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1260	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1261	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1262	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1263	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1264	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1265	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1266	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1267	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1268	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1269	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1270	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1271	C₄²	C₂⁴×C₆₁	1	4	yes	—
1272	C₄²	C₂⁴×C₆₁	1	8	yes	—
1273	C₄²	C₂⁴×C₆₁	1	2	yes	—
1274	C₄²	C₂⁴×C₆₁	1	4	yes	—
1275	C₄²	C₂⁴×C₆₁	1	4	yes	—
1276	C₄²	C₂⁴×C₆₁	1	4	yes	—
1277	C₄²	C₂⁴×C₆₁	1	2	yes	—
1278	C₄²	C₂⁴×C₆₁	1	8	yes	—
1279	C₄²	C₂⁴×C₆₁	1	8	yes	—
1280	C₄²	C₂⁴×C₆₁	1	8	yes	—
1281	C₄²	C₂⁴×C₆₁	1	8	yes	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	4	no	—
1285	C₂³	—	4	1	no	—
1286	C₂³	—	4	2	no	—
1287	C₂³	—	4	1	no	—
1288	C₂³	—	4	2	no	—
1289	C₂³	—	4	1	no	—
1290	C₂³	—	4	2	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	4	1	no	—
1293	C₂³	2₋¹⁺⁴×C₆₁	1	4	yes	—
1294	C₂³	C₂⁵×C₆₁	1	2	yes	—
1295	C₂³	C₂⁵×C₆₁	1	4	yes	—
1296	C₂³	C₂⁵×C₆₁	1	4	yes	—
1297	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1298	C₂³	C₂⁵×C₆₁	1	2	yes	—
1299	Q₈	—	2	8	no	—
1300	Q₈	—	4	4	no	—
1301	Q₈	—	4	4	no	—
1302	Q₈	—	4	8	no	—
1303	Q₈	—	4	2	no	—
1304	Q₈	—	4	8	no	—
1305	Q₈	—	4	4	no	—
1306	Q₈	—	4	2	no	—
1307	D₄	—	2	8	no	—
1308	D₄	—	2	8	no	—
1309	D₄	—	2	8	no	—
1310	D₄	—	2	16	no	—
1311	D₄	—	2	4	no	—
1312	D₄	—	4	2	no	—
1313	D₄	—	4	8	no	—
1314	D₄	—	4	4	no	—
1315	D₄	—	4	2	no	—
1316	D₄	—	4	8	no	—
1317	D₄	—	4	2	no	—
1318	D₄	—	4	8	no	—
1319	D₄	—	4	4	no	—
1320	C₂×C₄	—	2	4	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	4	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	4	no	—
1326	C₂×C₄	—	2	8	no	—
1327	C₂×C₄	—	4	2	no	—
1328	C₂×C₄	—	4	2	no	—
1329	C₂×C₄	—	4	2	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	4	1	no	—
1332	C₂×C₄	—	4	1	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	2	no	—
1335	C₂×C₄	—	4	1	no	—
1336	C₂×C₄	—	4	2	no	—
1337	C₂×C₄	—	4	4	no	—
1338	C₂×C₄	—	4	4	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	—	4	4	no	—
1341	C₂×C₄	—	4	8	no	—
1342	C₂×C₄	—	4	8	no	—
1343	C₂×C₄	—	4	4	no	—
1344	C₂×C₄	—	4	4	no	—
1345	C₂×C₄	—	4	2	no	—
1346	C₂×C₄	—	4	8	no	—
1347	C₂×C₄	—	4	8	no	—
1348	C₂×C₄	—	4	4	no	—
1349	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1350	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1351	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1352	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1353	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1354	C₂×C₄	C₂⁵×C₆₁	1	8	yes	—
1355	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1356	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1357	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1358	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1359	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1360	C₂×C₄	C₂⁵×C₆₁	1	8	yes	—
1361	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1362	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1363	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	2	no	—
1370	C₂²	—	2	4	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	4	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	2	4	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	4	4	no	—
1378	C₂²	—	4	8	no	—
1379	C₂²	—	8	2	no	—
1380	C₂²	—	8	4	no	—
1381	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	2	yes	—
1382	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	4	yes	—
1383	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
1384	C₄	—	2	4	no	—
1385	C₄	—	2	2	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	2	1	no	—
1388	C₄	—	2	4	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	8	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	4	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	8	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	4	no	—
1398	C₄	C₆₁×#585	1	2	yes	—
1399	C₂	—	2	4	no	—
1400	C₂	—	2	2	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	4	2	no	—
1403	C₂	—	4	4	no	—
1404	C₂	C₂²×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1405	C₂	C₂×C₆₁×#585	1	1	yes	characteristic
1406	C₂	C₆₁×H(7,𝔽₂)	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3564	C₂	semidirect
2. C₆₁×#3563	C₂	semidirect
3. C₆₁×#3553	C₂	semidirect
4. C₆₁×#3552	C₂	semidirect
5. C₆₁×#3541	C₂	semidirect
6. C₆₁×#3541	C₂	semidirect
7. C₆₁×#3536	C₂	semidirect
8. C₆₁×#3535	C₂	semidirect
9. C₆₁×#3520	C₂	semidirect
10. C₆₁×#3516	C₂	semidirect
11. C₆₁×#3505	C₂	semidirect
12. C₆₁×#3505	C₂	semidirect
13. C₆₁×#3501	C₂	semidirect
14. C₆₁×#3501	C₂	semidirect
15. C₆₁×#3495	C₂	semidirect
16. C₆₁×#3492	C₂	semidirect
17. C₂×C₆₁×#554	C₂	semidirect
18. C₂×C₆₁×#553	C₂	semidirect
19. C₆₁×#3459	C₂	semidirect
20. C₆₁×#3459	C₂	semidirect
21. C₆₁×#564	C₂²	semidirect
22. C₆₁×#563	C₂²	semidirect
23. C₆₁×#563	C₂²	semidirect
24. C₆₁×#563	C₂²	semidirect
25. C₆₁×#563	C₂²	semidirect
26. C₆₁×#562	C₂²	semidirect
27. C₆₁×#562	C₂²	semidirect
28. C₆₁×#557	C₂²	semidirect
29. C₆₁×#556	C₂²	semidirect
30. C₆₁×#556	C₂²	semidirect
31. C₆₁×#556	C₂²	semidirect
32. C₆₁×#554	C₂²	semidirect
33. C₆₁×#554	C₂²	semidirect
34. C₆₁×#554	C₂²	semidirect
35. C₆₁×#554	C₂²	semidirect
36. C₆₁×#554	C₂²	semidirect
37. C₆₁×#554	C₂²	semidirect
38. C₆₁×#554	C₂²	semidirect
39. C₆₁×#554	C₂²	semidirect
40. C₆₁×#554	C₂²	semidirect
41. C₆₁×#554	C₂²	semidirect
42. C₆₁×#554	C₂²	semidirect
43. C₆₁×#553	C₂²	semidirect
44. C₆₁×#553	C₂²	semidirect
45. C₆₁×#553	C₂²	semidirect
46. C₆₁×#553	C₂²	semidirect
47. C₆₁×#553	C₂²	semidirect
48. C₆₁×#553	C₂²	semidirect
49. C₆₁×#553	C₂²	semidirect
50. C₆₁×#553	C₂²	semidirect
51. C₆₁×#552	C₂²	semidirect
52. C₆₁×#552	C₂²	semidirect
53. C₆₁×#552	C₂²	semidirect
54. C₆₁×#552	C₂²	semidirect
55. C₆₁×#552	C₂²	semidirect
56. C₆₁×#552	C₂²	semidirect
57. C₆₁×#552	C₂²	semidirect
58. C₆₁×#552	C₂²	semidirect
59. C₆₁×#551	C₂²	semidirect
60. C₆₁×#551	C₂²	semidirect
61. C₆₁×#551	C₂²	semidirect
62. D₄×Q₈×C₆₁	C₂²	semidirect
63. D₄×Q₈×C₆₁	C₂²	semidirect
64. D₄×Q₈×C₆₁	C₂²	semidirect
65. C₆₁×#548	C₂²	semidirect
66. C₆₁×#548	C₂²	semidirect
67. C₆₁×#548	C₂²	semidirect
68. C₆₁×#548	C₂²	semidirect
69. C₆₁×#547	C₂²	semidirect
70. C₆₁×#547	C₂²	semidirect
71. C₆₁×#547	C₂²	semidirect
72. C₆₁×#547	C₂²	semidirect
73. C₆₁×#546	C₂²	semidirect
74. C₆₁×#546	C₂²	semidirect
75. C₆₁×#544	C₂²	semidirect
76. C₆₁×#544	C₂²	semidirect
77. C₆₁×#544	C₂²	semidirect
78. C₆₁×#544	C₂²	semidirect
81. C₆₁×#543	C₂²	semidirect
82. C₆₁×#543	C₂²	semidirect
83. C₆₁×#542	C₂²	semidirect
84. C₆₁×#542	C₂²	semidirect
85. C₆₁×#542	C₂²	semidirect
86. C₆₁×#542	C₂²	semidirect
87. C₆₁×#542	C₂²	semidirect
88. C₆₁×#541	C₂²	semidirect
89. C₆₁×#541	C₂²	semidirect
90. C₆₁×#541	C₂²	semidirect
91. C₆₁×#541	C₂²	semidirect
92. C₆₁×#541	C₂²	semidirect
95. C₆₁×#539	C₂²	semidirect
96. C₆₁×#539	C₂²	semidirect
97. C₆₁×#539	C₂²	semidirect
98. C₆₁×#539	C₂²	semidirect
99. C₆₁×#539	C₂²	semidirect
100. C₆₁×#539	C₂²	semidirect
101. C₆₁×#539	C₂²	semidirect
102. C₆₁×#539	C₂²	semidirect
103. C₆₁×#539	C₂²	semidirect
106. C₆₁×#538	C₂²	semidirect
107. C₆₁×#538	C₂²	semidirect
108. C₆₁×#538	C₂²	semidirect
109. C₆₁×#538	C₂²	semidirect
110. C₆₁×#537	C₂²	semidirect
111. C₆₁×#537	C₂²	semidirect
112. C₆₁×#536	C₂²	semidirect
113. C₆₁×#536	C₂²	semidirect
117. C₆₁×#533	C₂²	semidirect
118. C₆₁×#533	C₂²	semidirect
119. C₂×C₄⋊Q₈×C₆₁	C₂²	semidirect
122. C₆₁×#529	C₂²	semidirect
123. C₆₁×#529	C₂²	semidirect
124. C₆₁×#529	C₂²	semidirect
125. C₆₁×#529	C₂²	semidirect
126. C₂×#126×C₆₁	C₂²	semidirect
127. C₂×#125×C₆₁	C₂²	semidirect
128. C₂×#125×C₆₁	C₂²	semidirect
131. C₆₁×#525	C₂²	semidirect
132. C₆₁×#525	C₂²	semidirect
133. C₆₁×#525	C₂²	semidirect
134. C₆₁×#525	C₂²	semidirect
135. C₂×#123×C₆₁	C₂²	semidirect
138. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
139. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
144. C₂×#121×C₆₁	C₂²	semidirect
145. C₆₁×#520	C₂²	semidirect
146. C₆₁×#520	C₂²	semidirect
147. C₆₁×#519	C₂²	semidirect
150. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
155. C₂×C₄×D₄×C₆₁	C₂²	semidirect
156. C₂×#117×C₆₁	C₂²	semidirect
158. C₂²×C₄⋊C₄×C₆₁	C₂²	semidirect
660. #62902	C₆₁	direct (N × H)
696. #3564	C₂×C₆₁	semidirect
697. #3563	C₂×C₆₁	semidirect
698. #3553	C₂×C₆₁	semidirect
699. #3552	C₂×C₆₁	semidirect
700. #3541	C₂×C₆₁	semidirect
701. #3541	C₂×C₆₁	semidirect
702. #3536	C₂×C₆₁	semidirect
703. #3535	C₂×C₆₁	semidirect
704. #3520	C₂×C₆₁	semidirect
705. #3516	C₂×C₆₁	semidirect
706. #3505	C₂×C₆₁	semidirect
707. #3505	C₂×C₆₁	semidirect
708. #3501	C₂×C₆₁	semidirect
709. #3501	C₂×C₆₁	semidirect
710. #3495	C₂×C₆₁	semidirect
711. #3492	C₂×C₆₁	semidirect
712. C₂×#554	C₂×C₆₁	semidirect
713. C₂×#553	C₂×C₆₁	semidirect
714. #3459	C₂×C₆₁	semidirect
715. #3459	C₂×C₆₁	semidirect
724. #564	C₂²×C₆₁	semidirect
725. #563	C₂²×C₆₁	semidirect
726. #563	C₂²×C₆₁	semidirect
727. #563	C₂²×C₆₁	semidirect
728. #563	C₂²×C₆₁	semidirect
729. #562	C₂²×C₆₁	semidirect
730. #562	C₂²×C₆₁	semidirect
731. #557	C₂²×C₆₁	semidirect
732. #556	C₂²×C₆₁	semidirect
733. #556	C₂²×C₆₁	semidirect
734. #556	C₂²×C₆₁	semidirect
735. #554	C₂²×C₆₁	semidirect
736. #554	C₂²×C₆₁	semidirect
737. #554	C₂²×C₆₁	semidirect
738. #554	C₂²×C₆₁	semidirect
739. #554	C₂²×C₆₁	semidirect
740. #554	C₂²×C₆₁	semidirect
741. #554	C₂²×C₆₁	semidirect
742. #554	C₂²×C₆₁	semidirect
743. #554	C₂²×C₆₁	semidirect
744. #554	C₂²×C₆₁	semidirect
745. #554	C₂²×C₆₁	semidirect
746. #553	C₂²×C₆₁	semidirect
747. #553	C₂²×C₆₁	semidirect
748. #553	C₂²×C₆₁	semidirect
749. #553	C₂²×C₆₁	semidirect
750. #553	C₂²×C₆₁	semidirect
751. #553	C₂²×C₆₁	semidirect
752. #553	C₂²×C₆₁	semidirect
753. #553	C₂²×C₆₁	semidirect
754. #552	C₂²×C₆₁	semidirect
755. #552	C₂²×C₆₁	semidirect
756. #552	C₂²×C₆₁	semidirect
757. #552	C₂²×C₆₁	semidirect
758. #552	C₂²×C₆₁	semidirect
759. #552	C₂²×C₆₁	semidirect
760. #552	C₂²×C₆₁	semidirect
761. #552	C₂²×C₆₁	semidirect
762. #551	C₂²×C₆₁	semidirect
763. #551	C₂²×C₆₁	semidirect
764. #551	C₂²×C₆₁	semidirect
765. D₄×Q₈	C₂²×C₆₁	semidirect
766. D₄×Q₈	C₂²×C₆₁	semidirect
767. D₄×Q₈	C₂²×C₆₁	semidirect
768. #548	C₂²×C₆₁	semidirect
769. #548	C₂²×C₆₁	semidirect
770. #548	C₂²×C₆₁	semidirect
771. #548	C₂²×C₆₁	semidirect
772. #547	C₂²×C₆₁	semidirect
773. #547	C₂²×C₆₁	semidirect
774. #547	C₂²×C₆₁	semidirect
775. #547	C₂²×C₆₁	semidirect
776. #546	C₂²×C₆₁	semidirect
777. #546	C₂²×C₆₁	semidirect
778. #544	C₂²×C₆₁	semidirect
779. #544	C₂²×C₆₁	semidirect
780. #544	C₂²×C₆₁	semidirect
781. #544	C₂²×C₆₁	semidirect
784. #543	C₂²×C₆₁	semidirect
785. #543	C₂²×C₆₁	semidirect
786. #542	C₂²×C₆₁	semidirect
787. #542	C₂²×C₆₁	semidirect
788. #542	C₂²×C₆₁	semidirect
789. #542	C₂²×C₆₁	semidirect
790. #542	C₂²×C₆₁	semidirect
791. #541	C₂²×C₆₁	semidirect
792. #541	C₂²×C₆₁	semidirect
793. #541	C₂²×C₆₁	semidirect
794. #541	C₂²×C₆₁	semidirect
795. #541	C₂²×C₆₁	semidirect
798. #539	C₂²×C₆₁	semidirect
799. #539	C₂²×C₆₁	semidirect
800. #539	C₂²×C₆₁	semidirect
801. #539	C₂²×C₆₁	semidirect
802. #539	C₂²×C₆₁	semidirect
803. #539	C₂²×C₆₁	semidirect
804. #539	C₂²×C₆₁	semidirect
805. #539	C₂²×C₆₁	semidirect
806. #539	C₂²×C₆₁	semidirect
809. #538	C₂²×C₆₁	semidirect
810. #538	C₂²×C₆₁	semidirect
811. #538	C₂²×C₆₁	semidirect
812. #538	C₂²×C₆₁	semidirect
813. #537	C₂²×C₆₁	semidirect
814. #537	C₂²×C₆₁	semidirect
815. #536	C₂²×C₆₁	semidirect
816. #536	C₂²×C₆₁	semidirect
820. #533	C₂²×C₆₁	semidirect
821. #533	C₂²×C₆₁	semidirect
822. C₂×C₄⋊Q₈	C₂²×C₆₁	semidirect
825. #529	C₂²×C₆₁	semidirect
826. #529	C₂²×C₆₁	semidirect
827. #529	C₂²×C₆₁	semidirect
828. #529	C₂²×C₆₁	semidirect
829. C₂×#126	C₂²×C₆₁	semidirect
830. C₂×#125	C₂²×C₆₁	semidirect
831. C₂×#125	C₂²×C₆₁	semidirect
834. #525	C₂²×C₆₁	semidirect
835. #525	C₂²×C₆₁	semidirect
836. #525	C₂²×C₆₁	semidirect
837. #525	C₂²×C₆₁	semidirect
838. C₂×#123	C₂²×C₆₁	semidirect
841. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
842. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
843. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
844. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
847. C₂×#121	C₂²×C₆₁	semidirect
848. #520	C₂²×C₆₁	semidirect
849. #520	C₂²×C₆₁	semidirect
850. #519	C₂²×C₆₁	semidirect
853. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
858. C₂×C₄×D₄	C₂²×C₆₁	semidirect
859. C₂×#117	C₂²×C₆₁	semidirect
861. C₂²×C₄⋊C₄	C₂²×C₆₁	semidirect
862. C₆₁	#62902	direct (N × H)

Maximal subgroups

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

subgroup	index
C₆₁×#3564	2
C₆₁×#3563	2
C₆₁×#3553	2
C₆₁×#3552	2
C₆₁×#3541	2
C₆₁×#3536	2
C₆₁×#3535	2
C₆₁×#3520	2
C₆₁×#3516	2
C₆₁×#3505	2
C₆₁×#3501	2
C₆₁×#3495	2
C₆₁×#3492	2
C₂×C₆₁×#554	2
C₂×C₆₁×#553	2
C₆₁×#3459	2
#62902	61

Subgroups — C61×#62902 #29566335

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62902 #29566335