Subgroups — C₆₁×#62958 #29566391

Order 15616.

6572 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3565	C₂	1	4	yes	maximal, complemented
2	C₆₁×#3565	C₂	1	4	yes	maximal, complemented
3	C₆₁×#3564	C₂	1	4	yes	maximal, complemented
4	C₆₁×#3559	C₂	1	4	yes	maximal, complemented
5	C₆₁×#3559	C₂	1	4	yes	maximal, complemented
6	C₆₁×#3552	C₂	1	4	yes	maximal, complemented
7	C₆₁×#3547	C₂	1	4	yes	maximal, complemented
8	C₆₁×#3536	C₂	1	4	yes	maximal, complemented
9	C₆₁×#3535	C₂	1	4	yes	maximal, complemented
10	C₆₁×#3520	C₂	1	4	yes	maximal, complemented
11	C₆₁×#3515	C₂	1	4	yes	maximal, complemented
12	C₆₁×#3511	C₂	1	4	yes	maximal, complemented
13	C₆₁×#3504	C₂	1	2	yes	maximal, complemented
14	C₆₁×#3501	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3494	C₂	1	2	yes	maximal, complemented
16	C₆₁×#3494	C₂	1	2	yes	maximal, complemented
17	C₆₁×#3493	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3492	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3475	C₂	1	2	yes	maximal, complemented
20	C₂×C₆₁×#553	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3460	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3458	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₆₁×#544	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#563	C₂²	1	8	yes	complemented
25	C₆₁×#563	C₂²	1	8	yes	complemented
26	C₆₁×#563	C₂²	1	8	yes	complemented
27	C₆₁×#562	C₂²	1	8	yes	complemented
28	C₆₁×#562	C₂²	1	8	yes	complemented
29	C₆₁×#562	C₂²	1	8	yes	complemented
30	C₆₁×#557	C₂²	1	4	yes	complemented
31	C₆₁×#557	C₂²	1	4	yes	complemented
32	C₆₁×#556	C₂²	1	4	yes	complemented
33	C₆₁×#556	C₂²	1	8	yes	complemented
34	C₆₁×#556	C₂²	1	2	yes	complemented
35	C₆₁×#556	C₂²	1	4	yes	complemented
36	C₆₁×#555	C₂²	1	2	yes	complemented
37	C₆₁×#555	C₂²	1	4	yes	complemented
38	C₆₁×#555	C₂²	1	4	yes	complemented
39	C₆₁×#555	C₂²	1	4	yes	complemented
40	C₆₁×#554	C₂²	1	8	yes	—
41	C₆₁×#554	C₂²	1	8	yes	—
42	C₆₁×#554	C₂²	1	4	yes	complemented
43	C₆₁×#554	C₂²	1	2	yes	complemented
44	C₆₁×#554	C₂²	1	4	yes	complemented
45	C₆₁×#554	C₂²	1	4	yes	complemented
46	C₆₁×#554	C₂²	1	4	yes	complemented
47	C₆₁×#554	C₂²	1	4	yes	complemented
48	C₆₁×#554	C₂²	1	4	yes	complemented
49	C₆₁×#553	C₂²	1	4	yes	—
50	C₆₁×#553	C₂²	1	4	yes	—
51	C₆₁×#553	C₂²	1	4	yes	—
52	C₆₁×#553	C₂²	1	4	yes	—
53	C₆₁×#553	C₂²	1	4	yes	complemented
54	C₆₁×#553	C₂²	1	4	yes	complemented
55	C₆₁×#553	C₂²	1	2	yes	complemented
56	C₆₁×#553	C₂²	1	4	yes	complemented
57	C₆₁×#553	C₂²	1	4	yes	complemented
58	C₆₁×#553	C₂²	1	4	yes	complemented
59	C₆₁×#553	C₂²	1	4	yes	complemented
60	C₆₁×#553	C₂²	1	2	yes	complemented
61	C₆₁×#552	C₂²	1	4	yes	—
62	C₆₁×#552	C₂²	1	8	yes	complemented
63	C₆₁×#552	C₂²	1	2	yes	complemented
64	C₆₁×#552	C₂²	1	4	yes	complemented
65	C₆₁×#552	C₂²	1	4	yes	complemented
66	C₆₁×#552	C₂²	1	4	yes	complemented
67	C₆₁×#552	C₂²	1	8	yes	complemented
68	C₆₁×#552	C₂²	1	2	yes	complemented
69	C₆₁×#552	C₂²	1	4	yes	complemented
70	C₆₁×#551	C₂²	1	8	yes	—
71	C₆₁×#551	C₂²	1	8	yes	—
72	C₆₁×#551	C₂²	1	4	yes	—
73	C₆₁×#551	C₂²	1	4	yes	—
74	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
75	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
76	C₆₁×#548	C₂²	1	4	yes	complemented
77	C₆₁×#548	C₂²	1	8	yes	complemented
78	C₆₁×#548	C₂²	1	4	yes	complemented
79	C₆₁×#547	C₂²	1	4	yes	complemented
80	C₆₁×#547	C₂²	1	4	yes	complemented
81	C₆₁×#547	C₂²	1	2	yes	complemented
82	C₆₁×#547	C₂²	1	4	yes	complemented
83	C₆₁×#547	C₂²	1	4	yes	complemented
84	C₆₁×#547	C₂²	1	4	yes	complemented
85	C₆₁×#547	C₂²	1	8	yes	complemented
86	C₆₁×#547	C₂²	1	8	yes	complemented
87	C₆₁×#546	C₂²	1	4	yes	—
88	C₆₁×#546	C₂²	1	8	yes	—
89	C₆₁×#546	C₂²	1	8	yes	—
90	C₆₁×#544	C₂²	1	4	yes	—
91	C₆₁×#544	C₂²	1	1	yes	characteristic
92	C₆₁×#544	C₂²	1	1	yes	characteristic
93	C₆₁×#544	C₂²	1	2	yes	—
94	C₆₁×#544	C₂²	1	1	yes	characteristic
95	C₆₁×#544	C₂²	1	2	yes	—
96	C₆₁×#544	C₂²	1	4	yes	complemented
97	C₆₁×#544	C₂²	1	4	yes	complemented
98	C₆₁×#544	C₂²	1	4	yes	complemented
99	C₆₁×#544	C₂²	1	4	yes	complemented
100	C₆₁×#544	C₂²	1	4	yes	complemented
101	C₆₁×#544	C₂²	1	4	yes	complemented
102	C₆₁×#543	C₂²	1	4	yes	—
103	C₆₁×#543	C₂²	1	4	yes	—
104	C₆₁×#542	C₂²	1	8	yes	complemented
105	C₆₁×#542	C₂²	1	8	yes	complemented
106	C₆₁×#542	C₂²	1	4	yes	complemented
107	C₆₁×#542	C₂²	1	4	yes	complemented
108	C₆₁×#542	C₂²	1	4	yes	complemented
109	C₆₁×#542	C₂²	1	8	yes	complemented
110	C₆₁×#542	C₂²	1	8	yes	complemented
111	C₆₁×#541	C₂²	1	8	yes	complemented
112	C₆₁×#541	C₂²	1	8	yes	complemented
113	C₆₁×#540	C₂²	1	4	yes	complemented
114	C₆₁×#540	C₂²	1	4	yes	complemented
115	C₆₁×#540	C₂²	1	4	yes	complemented
116	C₆₁×#539	C₂²	1	4	yes	—
117	C₆₁×#539	C₂²	1	8	yes	complemented
118	C₆₁×#539	C₂²	1	8	yes	complemented
119	C₆₁×#539	C₂²	1	8	yes	complemented
120	C₆₁×#539	C₂²	1	8	yes	complemented
121	C₆₁×#539	C₂²	1	8	yes	complemented
122	C₆₁×#539	C₂²	1	8	yes	complemented
123	C₆₁×#538	C₂²	1	4	yes	—
124	C₆₁×#538	C₂²	1	4	yes	—
125	C₆₁×#537	C₂²	1	1	yes	characteristic
126	C₆₁×#537	C₂²	1	8	yes	complemented
127	C₆₁×#537	C₂²	1	8	yes	complemented
128	C₆₁×#536	C₂²	1	8	yes	complemented
129	C₆₁×#535	C₂²	1	2	yes	—
130	C₆₁×#533	C₂²	1	4	yes	—
131	C₆₁×#533	C₂²	1	2	yes	—
132	C₆₁×#533	C₂²	1	4	yes	complemented
133	C₆₁×#533	C₂²	1	4	yes	complemented
134	C₆₁×#533	C₂²	1	4	yes	complemented
135	C₆₁×#532	C₂²	1	4	yes	complemented
136	C₆₁×#532	C₂²	1	4	yes	complemented
137	C₆₁×#532	C₂²	1	4	yes	complemented
138	C₂×C₄⋊Q₈×C₆₁	C₂²	1	4	yes	complemented
139	C₆₁×#529	C₂²	1	4	yes	—
140	C₆₁×#529	C₂²	1	4	yes	complemented
141	C₆₁×#529	C₂²	1	4	yes	complemented
142	C₆₁×#529	C₂²	1	4	yes	complemented
143	C₆₁×#529	C₂²	1	4	yes	complemented
144	C₆₁×#529	C₂²	1	4	yes	complemented
145	C₆₁×#529	C₂²	1	4	yes	complemented
146	C₂×#126×C₆₁	C₂²	1	2	yes	—
147	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic
148	C₂×#125×C₆₁	C₂²	1	4	yes	complemented
149	C₂×#125×C₆₁	C₂²	1	4	yes	complemented
150	C₆₁×#525	C₂²	1	4	yes	—
151	C₆₁×#525	C₂²	1	2	yes	—
152	C₆₁×#525	C₂²	1	2	yes	—
153	C₆₁×#525	C₂²	1	4	yes	—
154	C₂×#123×C₆₁	C₂²	1	2	yes	—
155	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	—
156	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	—
157	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
158	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
159	C₂×#121×C₆₁	C₂²	1	2	yes	—
160	C₆₁×#520	C₂²	1	2	yes	—
161	C₆₁×#520	C₂²	1	2	yes	—
162	C₆₁×#520	C₂²	1	8	yes	complemented
163	C₆₁×#518	C₂²	1	2	yes	—
164	C₄×#41×C₆₁	C₂²	1	2	yes	—
165	C₄×#41×C₆₁	C₂²	1	4	yes	complemented
166	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
167	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
168	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	—
169	C₂×#117×C₆₁	C₂²	1	2	yes	—
170	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic
171	C₂×#117×C₆₁	C₂²	1	2	yes	—
172	C₂²×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
173	C₂×#41×C₆₁	C₂³	1	2	yes	—
174	C₂×#41×C₆₁	C₂³	1	8	yes	—
175	C₂×#41×C₆₁	C₂³	1	4	yes	—
176	C₂×#41×C₆₁	C₂³	1	4	yes	—
177	C₂×#41×C₆₁	C₂³	1	8	yes	—
178	C₂×#41×C₆₁	C₂³	1	4	yes	—
179	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
180	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
181	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
182	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
183	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
184	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
185	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
186	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
187	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
188	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
189	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
190	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
191	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
192	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
193	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
194	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
195	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
196	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
197	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
198	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
199	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
200	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
201	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
202	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
203	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
204	#127×C₆₁	C₂³	1	4	yes	—
205	#126×C₆₁	C₂³	1	8	yes	—
206	#126×C₆₁	C₂³	1	8	yes	—
207	#126×C₆₁	C₂³	1	8	yes	—
208	#126×C₆₁	C₂³	1	4	yes	—
209	#126×C₆₁	C₂³	1	4	yes	—
210	#126×C₆₁	C₂³	1	4	yes	—
211	#126×C₆₁	C₂³	1	4	yes	—
212	#126×C₆₁	C₂³	1	8	yes	—
213	#126×C₆₁	C₂³	1	8	yes	—
214	#126×C₆₁	C₂³	1	8	yes	—
215	#126×C₆₁	C₂³	1	8	yes	—
216	#126×C₆₁	C₂³	1	8	yes	—
217	#126×C₆₁	C₂³	1	8	yes	—
218	#126×C₆₁	C₂³	1	8	yes	—
219	#126×C₆₁	C₂³	1	4	yes	—
220	#126×C₆₁	C₂³	1	4	yes	—
221	#125×C₆₁	C₂³	1	2	yes	—
222	#125×C₆₁	C₂³	1	8	yes	—
223	#125×C₆₁	C₂³	1	2	yes	—
224	#125×C₆₁	C₂³	1	4	yes	—
225	#125×C₆₁	C₂³	1	4	yes	—
226	#125×C₆₁	C₂³	1	4	yes	—
227	#125×C₆₁	C₂³	1	4	yes	—
228	#125×C₆₁	C₂³	1	4	yes	—
229	#125×C₆₁	C₂³	1	8	yes	—
230	#125×C₆₁	C₂³	1	8	yes	—
231	#125×C₆₁	C₂³	1	8	yes	—
232	#125×C₆₁	C₂³	1	8	yes	—
233	#125×C₆₁	C₂³	1	8	yes	—
234	#125×C₆₁	C₂³	1	8	yes	—
235	#125×C₆₁	C₂³	1	4	yes	—
236	#125×C₆₁	C₂³	1	4	yes	—
237	#125×C₆₁	C₂³	1	4	yes	—
238	#125×C₆₁	C₂³	1	4	yes	—
239	#125×C₆₁	C₂³	1	4	yes	—
240	#125×C₆₁	C₂³	1	8	yes	—
241	#125×C₆₁	C₂³	1	4	yes	—
242	#125×C₆₁	C₂³	1	4	yes	—
243	#125×C₆₁	C₂³	1	4	yes	—
244	#124×C₆₁	C₂³	1	8	yes	—
245	#124×C₆₁	C₂³	1	8	yes	—
246	#124×C₆₁	C₂³	1	8	yes	—
247	#124×C₆₁	C₂³	1	4	yes	—
248	#124×C₆₁	C₂³	1	4	yes	—
249	#124×C₆₁	C₂³	1	8	yes	—
250	#124×C₆₁	C₂³	1	8	yes	—
251	#124×C₆₁	C₂³	1	8	yes	—
252	#124×C₆₁	C₂³	1	4	yes	—
253	#124×C₆₁	C₂³	1	4	yes	—
254	#124×C₆₁	C₂³	1	4	yes	—
255	#123×C₆₁	C₂³	1	8	yes	—
256	#123×C₆₁	C₂³	1	8	yes	—
257	#123×C₆₁	C₂³	1	8	yes	—
258	#123×C₆₁	C₂³	1	8	yes	—
259	#123×C₆₁	C₂³	1	8	yes	—
260	#123×C₆₁	C₂³	1	8	yes	—
261	#123×C₆₁	C₂³	1	4	yes	—
262	#123×C₆₁	C₂³	1	8	yes	—
263	#123×C₆₁	C₂³	1	8	yes	—
264	#123×C₆₁	C₂³	1	8	yes	—
265	#123×C₆₁	C₂³	1	8	yes	—
266	#123×C₆₁	C₂³	1	4	yes	—
267	#123×C₆₁	C₂³	1	8	yes	—
268	#123×C₆₁	C₂³	1	8	yes	—
269	#123×C₆₁	C₂³	1	4	yes	—
270	#123×C₆₁	C₂³	1	4	yes	—
271	#123×C₆₁	C₂³	1	4	yes	—
272	#123×C₆₁	C₂³	1	8	yes	—
273	#123×C₆₁	C₂³	1	8	yes	—
274	#123×C₆₁	C₂³	1	8	yes	—
275	#123×C₆₁	C₂³	1	4	yes	—
276	#123×C₆₁	C₂³	1	4	yes	—
277	#123×C₆₁	C₂³	1	4	yes	—
278	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
279	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
280	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
281	C₂²⋊Q₈×C₆₁	C₂³	1	8	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	4	yes	—
290	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
291	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
292	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
293	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
294	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
295	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
296	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
297	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
298	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
299	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
300	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
301	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
302	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
303	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
304	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
305	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
306	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
307	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
308	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
309	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
310	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
311	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
312	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
313	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
314	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
315	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
316	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
317	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
318	#121×C₆₁	C₂³	1	2	yes	—
319	#121×C₆₁	C₂³	1	2	yes	—
320	#121×C₆₁	C₂³	1	4	yes	—
321	#121×C₆₁	C₂³	1	4	yes	—
322	#121×C₆₁	C₂³	1	8	yes	—
323	#121×C₆₁	C₂³	1	8	yes	—
324	#121×C₆₁	C₂³	1	8	yes	—
325	#121×C₆₁	C₂³	1	4	yes	—
326	#121×C₆₁	C₂³	1	4	yes	—
327	#121×C₆₁	C₂³	1	4	yes	—
328	#121×C₆₁	C₂³	1	4	yes	—
329	#121×C₆₁	C₂³	1	8	yes	—
330	#121×C₆₁	C₂³	1	4	yes	—
331	#121×C₆₁	C₂³	1	4	yes	—
332	#121×C₆₁	C₂³	1	4	yes	—
333	#121×C₆₁	C₂³	1	4	yes	—
334	#121×C₆₁	C₂³	1	8	yes	—
335	#121×C₆₁	C₂³	1	8	yes	—
336	#121×C₆₁	C₂³	1	8	yes	—
337	#121×C₆₁	C₂³	1	8	yes	—
338	#121×C₆₁	C₂³	1	8	yes	—
339	#121×C₆₁	C₂³	1	8	yes	—
340	#121×C₆₁	C₂³	1	2	yes	—
341	#121×C₆₁	C₂³	1	4	yes	—
342	#121×C₆₁	C₂³	1	2	yes	—
343	#121×C₆₁	C₂³	1	4	yes	—
344	#121×C₆₁	C₂³	1	4	yes	—
345	#120×C₆₁	C₂³	1	8	yes	—
346	#120×C₆₁	C₂³	1	4	yes	—
347	#120×C₆₁	C₂³	1	4	yes	—
348	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
349	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
350	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
351	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
352	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
353	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
354	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
355	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
356	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
357	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
358	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
359	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
360	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
361	C₄×D₄×C₆₁	C₂³	1	2	yes	—
362	C₄×D₄×C₆₁	C₂³	1	8	yes	—
363	C₄×D₄×C₆₁	C₂³	1	8	yes	—
364	C₄×D₄×C₆₁	C₂³	1	4	yes	—
365	C₄×D₄×C₆₁	C₂³	1	4	yes	—
366	C₄×D₄×C₆₁	C₂³	1	8	yes	—
367	C₄×D₄×C₆₁	C₂³	1	4	yes	—
368	C₄×D₄×C₆₁	C₂³	1	4	yes	—
369	C₄×D₄×C₆₁	C₂³	1	4	yes	—
370	C₄×D₄×C₆₁	C₂³	1	4	yes	—
371	C₄×D₄×C₆₁	C₂³	1	8	yes	—
372	C₄×D₄×C₆₁	C₂³	1	8	yes	—
373	C₄×D₄×C₆₁	C₂³	1	4	yes	—
374	C₄×D₄×C₆₁	C₂³	1	4	yes	—
375	C₄×D₄×C₆₁	C₂³	1	4	yes	—
376	C₄×D₄×C₆₁	C₂³	1	4	yes	—
377	C₄×D₄×C₆₁	C₂³	1	4	yes	—
378	C₄×D₄×C₆₁	C₂³	1	8	yes	—
379	C₄×D₄×C₆₁	C₂³	1	8	yes	—
380	C₄×D₄×C₆₁	C₂³	1	8	yes	—
381	C₄×D₄×C₆₁	C₂³	1	2	yes	—
382	C₄×D₄×C₆₁	C₂³	1	4	yes	—
383	C₄×D₄×C₆₁	C₂³	1	4	yes	—
384	C₄×D₄×C₆₁	C₂³	1	4	yes	—
385	C₄×D₄×C₆₁	C₂³	1	4	yes	—
386	C₄×D₄×C₆₁	C₂³	1	4	yes	—
387	C₄×D₄×C₆₁	C₂³	1	2	yes	—
388	C₄×D₄×C₆₁	C₂³	1	4	yes	—
389	C₄×D₄×C₆₁	C₂³	1	4	yes	—
390	C₄×D₄×C₆₁	C₂³	1	4	yes	—
391	C₄×D₄×C₆₁	C₂³	1	4	yes	—
392	C₄×D₄×C₆₁	C₂³	1	4	yes	—
393	C₄×D₄×C₆₁	C₂³	1	2	yes	—
394	C₄×D₄×C₆₁	C₂³	1	2	yes	—
395	C₄×D₄×C₆₁	C₂³	1	4	yes	—
396	C₄×D₄×C₆₁	C₂³	1	2	yes	—
397	#117×C₆₁	C₂³	1	4	yes	—
398	#117×C₆₁	C₂³	1	2	yes	—
399	#117×C₆₁	C₂³	1	2	yes	—
400	#117×C₆₁	C₂³	1	4	yes	—
401	#117×C₆₁	C₂³	1	2	yes	—
402	#117×C₆₁	C₂³	1	2	yes	—
403	#117×C₆₁	C₂³	1	4	yes	—
404	#117×C₆₁	C₂³	1	4	yes	—
405	#117×C₆₁	C₂³	1	2	yes	—
406	#117×C₆₁	C₂³	1	8	yes	—
407	#117×C₆₁	C₂³	1	4	yes	—
408	#117×C₆₁	C₂³	1	4	yes	—
409	#117×C₆₁	C₂³	1	4	yes	—
410	#117×C₆₁	C₂³	1	8	yes	—
411	#117×C₆₁	C₂³	1	4	yes	—
412	#117×C₆₁	C₂³	1	4	yes	—
413	#117×C₆₁	C₂³	1	4	yes	—
414	#117×C₆₁	C₂³	1	8	yes	—
415	#117×C₆₁	C₂³	1	4	yes	—
416	#117×C₆₁	C₂³	1	2	yes	—
417	#117×C₆₁	C₂³	1	4	yes	—
418	#117×C₆₁	C₂³	1	2	yes	—
419	#117×C₆₁	C₂³	1	4	yes	—
420	#117×C₆₁	C₂³	1	4	yes	—
421	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
422	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
423	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
424	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
425	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
426	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
427	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
428	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
429	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
430	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
431	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
432	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
433	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
434	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
435	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
436	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
437	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
438	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
439	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
440	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
441	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
442	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
443	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
444	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
445	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
446	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
447	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
448	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
449	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
450	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
451	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
452	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
453	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
454	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
455	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
456	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
457	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
458	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
459	#41×C₆₁	—	2	8	no	—
460	#41×C₆₁	—	4	16	no	—
461	#41×C₆₁	—	4	8	no	—
462	#41×C₆₁	—	8	4	no	—
463	#41×C₆₁	—	8	4	no	—
464	#41×C₆₁	—	8	8	no	—
465	C₂×Q₈×C₆₁	—	8	4	no	—
466	C₂×Q₈×C₆₁	—	8	4	no	—
467	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
468	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
469	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
470	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
471	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
472	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
473	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
474	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
475	C₂×D₄×C₆₁	—	2	4	no	—
476	C₂×D₄×C₆₁	—	4	2	no	—
477	C₂×D₄×C₆₁	—	4	4	no	—
478	C₂×D₄×C₆₁	—	8	2	no	—
479	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
480	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
481	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
482	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
483	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
484	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
485	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
486	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
487	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
488	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
489	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
490	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
491	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
492	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
493	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
494	C₂²×C₄×C₆₁	—	2	4	no	—
495	C₂²×C₄×C₆₁	—	2	4	no	—
496	C₂²×C₄×C₆₁	—	8	2	no	—
497	C₂²×C₄×C₆₁	—	8	2	no	—
498	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
500	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
501	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
502	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
503	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
505	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
506	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
507	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
513	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
514	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
515	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
516	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
517	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
518	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
519	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
520	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
521	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
522	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
523	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
524	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
525	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
526	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
527	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
528	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
529	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
530	C₄⋊C₄×C₆₁	C₂⁴	1	4	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	4	yes	—
536	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
537	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
538	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
539	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
540	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
541	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
542	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
543	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
544	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
545	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
546	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
547	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
548	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
549	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
550	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
551	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
552	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
553	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
554	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
555	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
556	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
557	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
558	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
559	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
560	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
561	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
562	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
563	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
564	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
565	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
566	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
567	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
568	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
569	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
570	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
571	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
572	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
573	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
574	C₂²⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
575	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
576	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
577	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
578	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
579	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
580	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
581	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
582	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
583	C₂²⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
584	C₂²⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
585	C₂²⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
586	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
587	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
588	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
589	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
590	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
591	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
592	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
593	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
594	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
595	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
596	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
597	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
598	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
599	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
600	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
601	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
602	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
603	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
604	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
605	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
606	C₄²×C₆₁	C₂⁴	1	4	yes	—
607	C₄²×C₆₁	C₂⁴	1	2	yes	—
608	C₄²×C₆₁	C₂⁴	1	4	yes	—
609	C₄²×C₆₁	C₂⁴	1	4	yes	—
610	C₄²×C₆₁	C₂⁴	1	4	yes	—
611	C₄²×C₆₁	C₂⁴	1	4	yes	—
612	C₄²×C₆₁	C₂⁴	1	4	yes	—
613	C₄²×C₆₁	C₂⁴	1	4	yes	—
614	C₄²×C₆₁	C₂⁴	1	4	yes	—
615	C₄²×C₆₁	C₂⁴	1	2	yes	—
616	C₄²×C₆₁	C₂⁴	1	4	yes	—
617	C₄²×C₆₁	C₂⁴	1	4	yes	—
618	C₄²×C₆₁	C₂⁴	1	4	yes	—
619	C₄²×C₆₁	C₂⁴	1	8	yes	—
620	C₄²×C₆₁	C₂⁴	1	8	yes	—
621	C₂³×C₆₁	—	2	2	no	—
622	C₂³×C₆₁	—	2	2	no	—
623	C₂³×C₆₁	—	2	2	no	—
624	C₂³×C₆₁	—	2	4	no	—
625	C₂³×C₆₁	—	4	1	no	—
626	C₂³×C₆₁	—	4	2	no	—
627	C₂³×C₆₁	—	4	1	no	—
628	C₂³×C₆₁	—	4	2	no	—
629	C₂³×C₆₁	—	4	1	no	—
630	C₂³×C₆₁	C₂⁵	1	2	yes	—
631	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
632	C₂³×C₆₁	C₂⁵	1	4	yes	—
633	C₂³×C₆₁	C₂⁵	1	4	yes	—
634	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
635	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
636	Q₈×C₆₁	—	2	4	no	—
637	Q₈×C₆₁	—	4	4	no	—
638	Q₈×C₆₁	—	4	4	no	—
639	Q₈×C₆₁	—	4	8	no	—
640	Q₈×C₆₁	—	4	4	no	—
641	Q₈×C₆₁	—	4	4	no	—
642	Q₈×C₆₁	—	4	4	no	—
643	Q₈×C₆₁	—	4	8	no	—
644	D₄×C₆₁	—	2	8	no	—
645	D₄×C₆₁	—	2	4	no	—
646	D₄×C₆₁	—	2	8	no	—
647	D₄×C₆₁	—	2	8	no	—
648	D₄×C₆₁	—	2	8	no	—
649	D₄×C₆₁	—	2	4	no	—
650	D₄×C₆₁	—	4	4	no	—
651	D₄×C₆₁	—	4	2	no	—
652	D₄×C₆₁	—	4	8	no	—
653	D₄×C₆₁	—	4	4	no	—
654	D₄×C₆₁	—	4	8	no	—
655	D₄×C₆₁	—	4	4	no	—
656	D₄×C₆₁	—	4	4	no	—
657	D₄×C₆₁	—	4	8	no	—
658	D₄×C₆₁	—	4	4	no	—
659	C₂×C₄×C₆₁	—	2	2	no	—
660	C₂×C₄×C₆₁	—	2	2	no	—
661	C₂×C₄×C₆₁	—	2	8	no	—
662	C₂×C₄×C₆₁	—	2	4	no	—
663	C₂×C₄×C₆₁	—	2	4	no	—
664	C₂×C₄×C₆₁	—	2	4	no	—
665	C₂×C₄×C₆₁	—	2	4	no	—
666	C₂×C₄×C₆₁	—	2	8	no	—
667	C₂×C₄×C₆₁	—	4	1	no	—
668	C₂×C₄×C₆₁	—	4	2	no	—
669	C₂×C₄×C₆₁	—	4	2	no	—
670	C₂×C₄×C₆₁	—	4	4	no	—
671	C₂×C₄×C₆₁	—	4	4	no	—
672	C₂×C₄×C₆₁	—	4	4	no	—
673	C₂×C₄×C₆₁	—	4	4	no	—
674	C₂×C₄×C₆₁	—	4	2	no	—
675	C₂×C₄×C₆₁	—	4	1	no	—
676	C₂×C₄×C₆₁	—	4	4	no	—
677	C₂×C₄×C₆₁	—	4	8	no	—
678	C₂×C₄×C₆₁	—	4	8	no	—
679	C₂×C₄×C₆₁	—	4	8	no	—
680	C₂×C₄×C₆₁	—	4	4	no	—
681	C₂×C₄×C₆₁	—	4	4	no	—
682	C₂×C₄×C₆₁	—	4	4	no	—
683	C₂×C₄×C₆₁	—	4	8	no	—
684	C₂×C₄×C₆₁	—	4	4	no	—
685	C₂×C₄×C₆₁	2₋¹⁺⁴	1	4	yes	—
686	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
687	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
688	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
689	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
690	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
691	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
692	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
693	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
694	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
695	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
696	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
697	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
698	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
699	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
700	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
701	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
702	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
703	#62958	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
704	C₂²×C₆₁	—	2	1	no	—
705	C₂²×C₆₁	—	2	1	no	—
706	C₂²×C₆₁	—	2	1	no	—
707	C₂²×C₆₁	—	2	1	no	—
708	C₂²×C₆₁	—	2	1	no	—
709	C₂²×C₆₁	—	2	2	no	—
710	C₂²×C₆₁	—	2	4	no	—
711	C₂²×C₆₁	—	2	4	no	—
712	C₂²×C₆₁	—	2	4	no	—
713	C₂²×C₆₁	—	2	2	no	—
714	C₂²×C₆₁	—	2	4	no	—
715	C₂²×C₆₁	—	2	1	no	—
716	C₂²×C₆₁	—	2	1	no	—
717	C₂²×C₆₁	—	2	4	no	—
718	C₂²×C₆₁	—	2	4	no	—
719	C₂²×C₆₁	—	2	2	no	—
720	C₂²×C₆₁	—	4	4	no	—
721	C₂²×C₆₁	—	8	2	no	—
722	C₂²×C₆₁	—	8	4	no	—
723	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	2	yes	—
724	C₂²×C₆₁	#585	1	2	yes	—
725	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
726	C₄×C₆₁	—	2	1	no	—
727	C₄×C₆₁	—	2	1	no	—
728	C₄×C₆₁	—	2	2	no	—
729	C₄×C₆₁	—	2	4	no	—
730	C₄×C₆₁	—	2	4	no	—
731	C₄×C₆₁	—	2	4	no	—
732	C₄×C₆₁	—	2	4	no	—
733	C₄×C₆₁	—	2	2	no	—
734	C₄×C₆₁	—	2	4	no	—
735	C₄×C₆₁	—	2	1	no	—
736	C₄×C₆₁	—	2	4	no	—
737	C₄×C₆₁	—	2	4	no	—
738	C₄×C₆₁	—	2	4	no	—
739	C₄×C₆₁	—	2	1	no	—
740	C₄×C₆₁	—	2	4	no	—
741	C₄×C₆₁	—	2	4	no	—
742	C₄×C₆₁	C₂×2₋¹⁺⁴	1	4	yes	—
743	#3565	C₂×C₆₁	1	4	yes	complemented
744	#3565	C₂×C₆₁	1	4	yes	complemented
745	#3564	C₂×C₆₁	1	4	yes	complemented
746	#3559	C₂×C₆₁	1	4	yes	complemented
747	#3559	C₂×C₆₁	1	4	yes	complemented
748	#3552	C₂×C₆₁	1	4	yes	complemented
749	#3547	C₂×C₆₁	1	4	yes	complemented
750	#3536	C₂×C₆₁	1	4	yes	complemented
751	#3535	C₂×C₆₁	1	4	yes	complemented
752	#3520	C₂×C₆₁	1	4	yes	complemented
753	#3515	C₂×C₆₁	1	4	yes	complemented
754	#3511	C₂×C₆₁	1	4	yes	complemented
755	#3504	C₂×C₆₁	1	2	yes	complemented
756	#3501	C₂×C₆₁	1	1	yes	characteristic, complemented
757	#3494	C₂×C₆₁	1	2	yes	complemented
758	#3494	C₂×C₆₁	1	2	yes	complemented
759	#3493	C₂×C₆₁	1	1	yes	characteristic, complemented
760	#3492	C₂×C₆₁	1	1	yes	characteristic, complemented
761	#3475	C₂×C₆₁	1	2	yes	complemented
762	C₂×#553	C₂×C₆₁	1	1	yes	characteristic, complemented
763	#3460	C₂×C₆₁	1	1	yes	characteristic, complemented
764	#3458	C₂×C₆₁	1	1	yes	characteristic, complemented
765	C₂×#544	C₂×C₆₁	1	1	yes	characteristic, complemented
766	C₂×C₆₁	—	2	2	no	—
767	C₂×C₆₁	—	2	2	no	—
768	C₂×C₆₁	—	4	4	no	—
769	C₂×C₆₁	—	4	1	no	—
770	C₂×C₆₁	—	4	2	no	—
771	C₂×C₆₁	—	4	4	no	—
772	C₂×C₆₁	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
773	C₂×C₆₁	C₂×#585	1	1	yes	characteristic
774	C₂×C₆₁	H(7,𝔽₂)	1	1	yes	characteristic
775	#563	C₂²×C₆₁	1	8	yes	complemented
776	#563	C₂²×C₆₁	1	8	yes	complemented
777	#563	C₂²×C₆₁	1	8	yes	complemented
778	#562	C₂²×C₆₁	1	8	yes	complemented
779	#562	C₂²×C₆₁	1	8	yes	complemented
780	#562	C₂²×C₆₁	1	8	yes	complemented
781	#557	C₂²×C₆₁	1	4	yes	complemented
782	#557	C₂²×C₆₁	1	4	yes	complemented
783	#556	C₂²×C₆₁	1	2	yes	complemented
784	#556	C₂²×C₆₁	1	4	yes	complemented
785	#556	C₂²×C₆₁	1	8	yes	complemented
786	#556	C₂²×C₆₁	1	4	yes	complemented
787	#555	C₂²×C₆₁	1	2	yes	complemented
788	#555	C₂²×C₆₁	1	4	yes	complemented
789	#555	C₂²×C₆₁	1	4	yes	complemented
790	#555	C₂²×C₆₁	1	4	yes	complemented
791	#554	C₂²×C₆₁	1	8	yes	—
792	#554	C₂²×C₆₁	1	8	yes	—
793	#554	C₂²×C₆₁	1	2	yes	complemented
794	#554	C₂²×C₆₁	1	4	yes	complemented
795	#554	C₂²×C₆₁	1	4	yes	complemented
796	#554	C₂²×C₆₁	1	4	yes	complemented
797	#554	C₂²×C₆₁	1	4	yes	complemented
798	#554	C₂²×C₆₁	1	4	yes	complemented
799	#554	C₂²×C₆₁	1	4	yes	complemented
800	#553	C₂²×C₆₁	1	4	yes	—
801	#553	C₂²×C₆₁	1	4	yes	—
802	#553	C₂²×C₆₁	1	4	yes	—
803	#553	C₂²×C₆₁	1	4	yes	—
804	#553	C₂²×C₆₁	1	2	yes	complemented
805	#553	C₂²×C₆₁	1	2	yes	complemented
806	#553	C₂²×C₆₁	1	4	yes	complemented
807	#553	C₂²×C₆₁	1	4	yes	complemented
808	#553	C₂²×C₆₁	1	4	yes	complemented
809	#553	C₂²×C₆₁	1	4	yes	complemented
810	#553	C₂²×C₆₁	1	4	yes	complemented
811	#553	C₂²×C₆₁	1	4	yes	complemented
812	#552	C₂²×C₆₁	1	4	yes	—
813	#552	C₂²×C₆₁	1	2	yes	complemented
814	#552	C₂²×C₆₁	1	2	yes	complemented
815	#552	C₂²×C₆₁	1	4	yes	complemented
816	#552	C₂²×C₆₁	1	4	yes	complemented
817	#552	C₂²×C₆₁	1	4	yes	complemented
818	#552	C₂²×C₆₁	1	8	yes	complemented
819	#552	C₂²×C₆₁	1	8	yes	complemented
820	#552	C₂²×C₆₁	1	4	yes	complemented
821	#551	C₂²×C₆₁	1	4	yes	—
822	#551	C₂²×C₆₁	1	4	yes	—
823	#551	C₂²×C₆₁	1	8	yes	—
824	#551	C₂²×C₆₁	1	8	yes	—
825	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
826	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
827	#548	C₂²×C₆₁	1	4	yes	complemented
828	#548	C₂²×C₆₁	1	8	yes	complemented
829	#548	C₂²×C₆₁	1	4	yes	complemented
830	#547	C₂²×C₆₁	1	2	yes	complemented
831	#547	C₂²×C₆₁	1	4	yes	complemented
832	#547	C₂²×C₆₁	1	4	yes	complemented
833	#547	C₂²×C₆₁	1	4	yes	complemented
834	#547	C₂²×C₆₁	1	8	yes	complemented
835	#547	C₂²×C₆₁	1	8	yes	complemented
836	#547	C₂²×C₆₁	1	4	yes	complemented
837	#547	C₂²×C₆₁	1	4	yes	complemented
838	#546	C₂²×C₆₁	1	4	yes	—
839	#546	C₂²×C₆₁	1	8	yes	—
840	#546	C₂²×C₆₁	1	8	yes	—
841	#544	C₂²×C₆₁	1	1	yes	characteristic
842	#544	C₂²×C₆₁	1	1	yes	characteristic
843	#544	C₂²×C₆₁	1	2	yes	—
844	#544	C₂²×C₆₁	1	4	yes	—
845	#544	C₂²×C₆₁	1	1	yes	characteristic
846	#544	C₂²×C₆₁	1	2	yes	—
847	#544	C₂²×C₆₁	1	4	yes	complemented
848	#544	C₂²×C₆₁	1	4	yes	complemented
849	#544	C₂²×C₆₁	1	4	yes	complemented
850	#544	C₂²×C₆₁	1	4	yes	complemented
851	#544	C₂²×C₆₁	1	4	yes	complemented
852	#544	C₂²×C₆₁	1	4	yes	complemented
853	#543	C₂²×C₆₁	1	4	yes	—
854	#543	C₂²×C₆₁	1	4	yes	—
855	#542	C₂²×C₆₁	1	4	yes	complemented
856	#542	C₂²×C₆₁	1	4	yes	complemented
857	#542	C₂²×C₆₁	1	4	yes	complemented
858	#542	C₂²×C₆₁	1	8	yes	complemented
859	#542	C₂²×C₆₁	1	8	yes	complemented
860	#542	C₂²×C₆₁	1	8	yes	complemented
861	#542	C₂²×C₆₁	1	8	yes	complemented
862	#541	C₂²×C₆₁	1	8	yes	complemented
863	#541	C₂²×C₆₁	1	8	yes	complemented
864	#540	C₂²×C₆₁	1	4	yes	complemented
865	#540	C₂²×C₆₁	1	4	yes	complemented
866	#540	C₂²×C₆₁	1	4	yes	complemented
867	#539	C₂²×C₆₁	1	4	yes	—
868	#539	C₂²×C₆₁	1	8	yes	complemented
869	#539	C₂²×C₆₁	1	8	yes	complemented
870	#539	C₂²×C₆₁	1	8	yes	complemented
871	#539	C₂²×C₆₁	1	8	yes	complemented
872	#539	C₂²×C₆₁	1	8	yes	complemented
873	#539	C₂²×C₆₁	1	8	yes	complemented
874	#538	C₂²×C₆₁	1	4	yes	—
875	#538	C₂²×C₆₁	1	4	yes	—
876	#537	C₂²×C₆₁	1	1	yes	characteristic
877	#537	C₂²×C₆₁	1	8	yes	complemented
878	#537	C₂²×C₆₁	1	8	yes	complemented
879	#536	C₂²×C₆₁	1	8	yes	complemented
880	#535	C₂²×C₆₁	1	2	yes	—
881	#533	C₂²×C₆₁	1	4	yes	—
882	#533	C₂²×C₆₁	1	2	yes	—
883	#533	C₂²×C₆₁	1	4	yes	complemented
884	#533	C₂²×C₆₁	1	4	yes	complemented
885	#533	C₂²×C₆₁	1	4	yes	complemented
886	#532	C₂²×C₆₁	1	4	yes	complemented
887	#532	C₂²×C₆₁	1	4	yes	complemented
888	#532	C₂²×C₆₁	1	4	yes	complemented
889	C₂×C₄⋊Q₈	C₂²×C₆₁	1	4	yes	complemented
890	#529	C₂²×C₆₁	1	4	yes	—
891	#529	C₂²×C₆₁	1	4	yes	complemented
892	#529	C₂²×C₆₁	1	4	yes	complemented
893	#529	C₂²×C₆₁	1	4	yes	complemented
894	#529	C₂²×C₆₁	1	4	yes	complemented
895	#529	C₂²×C₆₁	1	4	yes	complemented
896	#529	C₂²×C₆₁	1	4	yes	complemented
897	C₂×#126	C₂²×C₆₁	1	2	yes	—
898	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic
899	C₂×#125	C₂²×C₆₁	1	4	yes	complemented
900	C₂×#125	C₂²×C₆₁	1	4	yes	complemented
901	#525	C₂²×C₆₁	1	4	yes	—
902	#525	C₂²×C₆₁	1	2	yes	—
903	#525	C₂²×C₆₁	1	2	yes	—
904	#525	C₂²×C₆₁	1	4	yes	—
905	C₂×#123	C₂²×C₆₁	1	2	yes	—
906	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	—
907	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	—
908	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
909	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
910	C₂×#121	C₂²×C₆₁	1	2	yes	—
911	#520	C₂²×C₆₁	1	2	yes	—
912	#520	C₂²×C₆₁	1	2	yes	—
913	#520	C₂²×C₆₁	1	8	yes	complemented
914	#518	C₂²×C₆₁	1	2	yes	—
915	C₄×#41	C₂²×C₆₁	1	2	yes	—
916	C₄×#41	C₂²×C₆₁	1	4	yes	complemented
917	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
918	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
919	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	—
920	C₂×#117	C₂²×C₆₁	1	2	yes	—
921	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic
922	C₂×#117	C₂²×C₆₁	1	2	yes	—
923	C₂²×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
924	C₆₁	#62958	1	1	yes	characteristic, direct product factor, Sylow
925	C₂×#41	C₂³×C₆₁	1	2	yes	—
926	C₂×#41	C₂³×C₆₁	1	4	yes	—
927	C₂×#41	C₂³×C₆₁	1	8	yes	—
928	C₂×#41	C₂³×C₆₁	1	4	yes	—
929	C₂×#41	C₂³×C₆₁	1	4	yes	—
930	C₂×#41	C₂³×C₆₁	1	8	yes	—
931	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
932	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
933	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
934	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
935	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
936	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
937	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
938	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
939	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
940	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
941	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
942	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
943	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
944	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
945	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
946	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
947	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
948	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
949	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
950	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
951	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
952	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
953	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
954	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
955	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
956	#127	C₂³×C₆₁	1	4	yes	—
957	#126	C₂³×C₆₁	1	8	yes	—
958	#126	C₂³×C₆₁	1	8	yes	—
959	#126	C₂³×C₆₁	1	8	yes	—
960	#126	C₂³×C₆₁	1	8	yes	—
961	#126	C₂³×C₆₁	1	4	yes	—
962	#126	C₂³×C₆₁	1	4	yes	—
963	#126	C₂³×C₆₁	1	4	yes	—
964	#126	C₂³×C₆₁	1	4	yes	—
965	#126	C₂³×C₆₁	1	8	yes	—
966	#126	C₂³×C₆₁	1	8	yes	—
967	#126	C₂³×C₆₁	1	4	yes	—
968	#126	C₂³×C₆₁	1	4	yes	—
969	#126	C₂³×C₆₁	1	8	yes	—
970	#126	C₂³×C₆₁	1	8	yes	—
971	#126	C₂³×C₆₁	1	8	yes	—
972	#126	C₂³×C₆₁	1	8	yes	—
973	#125	C₂³×C₆₁	1	4	yes	—
974	#125	C₂³×C₆₁	1	4	yes	—
975	#125	C₂³×C₆₁	1	4	yes	—
976	#125	C₂³×C₆₁	1	2	yes	—
977	#125	C₂³×C₆₁	1	4	yes	—
978	#125	C₂³×C₆₁	1	4	yes	—
979	#125	C₂³×C₆₁	1	8	yes	—
980	#125	C₂³×C₆₁	1	8	yes	—
981	#125	C₂³×C₆₁	1	8	yes	—
982	#125	C₂³×C₆₁	1	8	yes	—
983	#125	C₂³×C₆₁	1	4	yes	—
984	#125	C₂³×C₆₁	1	4	yes	—
985	#125	C₂³×C₆₁	1	4	yes	—
986	#125	C₂³×C₆₁	1	4	yes	—
987	#125	C₂³×C₆₁	1	4	yes	—
988	#125	C₂³×C₆₁	1	4	yes	—
989	#125	C₂³×C₆₁	1	2	yes	—
990	#125	C₂³×C₆₁	1	8	yes	—
991	#125	C₂³×C₆₁	1	4	yes	—
992	#125	C₂³×C₆₁	1	4	yes	—
993	#125	C₂³×C₆₁	1	8	yes	—
994	#125	C₂³×C₆₁	1	8	yes	—
995	#125	C₂³×C₆₁	1	8	yes	—
996	#124	C₂³×C₆₁	1	4	yes	—
997	#124	C₂³×C₆₁	1	4	yes	—
998	#124	C₂³×C₆₁	1	4	yes	—
999	#124	C₂³×C₆₁	1	4	yes	—
1000	#124	C₂³×C₆₁	1	4	yes	—
1001	#124	C₂³×C₆₁	1	8	yes	—
1002	#124	C₂³×C₆₁	1	8	yes	—
1003	#124	C₂³×C₆₁	1	8	yes	—
1004	#124	C₂³×C₆₁	1	8	yes	—
1005	#124	C₂³×C₆₁	1	8	yes	—
1006	#124	C₂³×C₆₁	1	8	yes	—
1007	#123	C₂³×C₆₁	1	8	yes	—
1008	#123	C₂³×C₆₁	1	8	yes	—
1009	#123	C₂³×C₆₁	1	4	yes	—
1010	#123	C₂³×C₆₁	1	8	yes	—
1011	#123	C₂³×C₆₁	1	4	yes	—
1012	#123	C₂³×C₆₁	1	8	yes	—
1013	#123	C₂³×C₆₁	1	8	yes	—
1014	#123	C₂³×C₆₁	1	4	yes	—
1015	#123	C₂³×C₆₁	1	8	yes	—
1016	#123	C₂³×C₆₁	1	8	yes	—
1017	#123	C₂³×C₆₁	1	4	yes	—
1018	#123	C₂³×C₆₁	1	4	yes	—
1019	#123	C₂³×C₆₁	1	4	yes	—
1020	#123	C₂³×C₆₁	1	4	yes	—
1021	#123	C₂³×C₆₁	1	4	yes	—
1022	#123	C₂³×C₆₁	1	8	yes	—
1023	#123	C₂³×C₆₁	1	8	yes	—
1024	#123	C₂³×C₆₁	1	8	yes	—
1025	#123	C₂³×C₆₁	1	8	yes	—
1026	#123	C₂³×C₆₁	1	8	yes	—
1027	#123	C₂³×C₆₁	1	8	yes	—
1028	#123	C₂³×C₆₁	1	8	yes	—
1029	#123	C₂³×C₆₁	1	8	yes	—
1030	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1031	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1032	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1033	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1034	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1035	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1036	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1037	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1038	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1039	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1040	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1041	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1042	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1043	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1044	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1045	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1046	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1047	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1048	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1049	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1050	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1051	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1052	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1053	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1054	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1055	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1056	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1057	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1058	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1059	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1060	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1061	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1062	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1063	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1064	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1065	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1066	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1067	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1068	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1069	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1070	#121	C₂³×C₆₁	1	4	yes	—
1071	#121	C₂³×C₆₁	1	4	yes	—
1072	#121	C₂³×C₆₁	1	8	yes	—
1073	#121	C₂³×C₆₁	1	8	yes	—
1074	#121	C₂³×C₆₁	1	4	yes	—
1075	#121	C₂³×C₆₁	1	4	yes	—
1076	#121	C₂³×C₆₁	1	4	yes	—
1077	#121	C₂³×C₆₁	1	2	yes	—
1078	#121	C₂³×C₆₁	1	2	yes	—
1079	#121	C₂³×C₆₁	1	4	yes	—
1080	#121	C₂³×C₆₁	1	2	yes	—
1081	#121	C₂³×C₆₁	1	4	yes	—
1082	#121	C₂³×C₆₁	1	2	yes	—
1083	#121	C₂³×C₆₁	1	4	yes	—
1084	#121	C₂³×C₆₁	1	4	yes	—
1085	#121	C₂³×C₆₁	1	4	yes	—
1086	#121	C₂³×C₆₁	1	4	yes	—
1087	#121	C₂³×C₆₁	1	4	yes	—
1088	#121	C₂³×C₆₁	1	4	yes	—
1089	#121	C₂³×C₆₁	1	8	yes	—
1090	#121	C₂³×C₆₁	1	8	yes	—
1091	#121	C₂³×C₆₁	1	8	yes	—
1092	#121	C₂³×C₆₁	1	8	yes	—
1093	#121	C₂³×C₆₁	1	8	yes	—
1094	#121	C₂³×C₆₁	1	8	yes	—
1095	#121	C₂³×C₆₁	1	8	yes	—
1096	#121	C₂³×C₆₁	1	8	yes	—
1097	#120	C₂³×C₆₁	1	4	yes	—
1098	#120	C₂³×C₆₁	1	8	yes	—
1099	#120	C₂³×C₆₁	1	4	yes	—
1100	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1101	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1102	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1103	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1104	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1105	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1106	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1107	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1108	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1109	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1110	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1111	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1112	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1113	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1114	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1115	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1116	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1117	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1118	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1119	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1120	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1121	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1122	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1123	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1124	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1125	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1126	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1127	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1128	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1129	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1130	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1131	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1132	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1133	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1134	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1135	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1136	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1137	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1138	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1139	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1140	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1141	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1142	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1143	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1144	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1145	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1146	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1147	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1148	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1149	#117	C₂³×C₆₁	1	2	yes	—
1150	#117	C₂³×C₆₁	1	2	yes	—
1151	#117	C₂³×C₆₁	1	2	yes	—
1152	#117	C₂³×C₆₁	1	4	yes	—
1153	#117	C₂³×C₆₁	1	4	yes	—
1154	#117	C₂³×C₆₁	1	4	yes	—
1155	#117	C₂³×C₆₁	1	4	yes	—
1156	#117	C₂³×C₆₁	1	2	yes	—
1157	#117	C₂³×C₆₁	1	2	yes	—
1158	#117	C₂³×C₆₁	1	4	yes	—
1159	#117	C₂³×C₆₁	1	2	yes	—
1160	#117	C₂³×C₆₁	1	4	yes	—
1161	#117	C₂³×C₆₁	1	2	yes	—
1162	#117	C₂³×C₆₁	1	4	yes	—
1163	#117	C₂³×C₆₁	1	4	yes	—
1164	#117	C₂³×C₆₁	1	4	yes	—
1165	#117	C₂³×C₆₁	1	4	yes	—
1166	#117	C₂³×C₆₁	1	4	yes	—
1167	#117	C₂³×C₆₁	1	4	yes	—
1168	#117	C₂³×C₆₁	1	8	yes	—
1169	#117	C₂³×C₆₁	1	8	yes	—
1170	#117	C₂³×C₆₁	1	4	yes	—
1171	#117	C₂³×C₆₁	1	4	yes	—
1172	#117	C₂³×C₆₁	1	8	yes	—
1173	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1174	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1175	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1176	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1177	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1178	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1179	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1180	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1181	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1182	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1183	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1184	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1185	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1186	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1187	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1188	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1189	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1190	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1191	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1192	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1193	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1194	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1195	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1196	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1197	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1199	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1200	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1201	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1202	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1203	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1204	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1205	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1206	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1207	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1208	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1209	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1210	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
1211	#41	—	2	8	no	—
1212	#41	—	4	8	no	—
1213	#41	—	4	16	no	—
1214	#41	—	8	4	no	—
1215	#41	—	8	4	no	—
1216	#41	—	8	8	no	—
1217	C₂×Q₈	—	8	4	no	—
1218	C₂×Q₈	—	8	4	no	—
1219	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1220	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1221	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1222	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1223	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1224	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1225	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1226	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1227	C₂×D₄	—	2	4	no	—
1228	C₂×D₄	—	4	2	no	—
1229	C₂×D₄	—	4	4	no	—
1230	C₂×D₄	—	8	2	no	—
1231	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1232	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1233	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1234	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1235	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1236	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1237	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1238	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1239	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1240	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1241	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1242	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1243	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1244	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1245	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1246	C₂²×C₄	—	2	4	no	—
1247	C₂²×C₄	—	2	4	no	—
1248	C₂²×C₄	—	8	2	no	—
1249	C₂²×C₄	—	8	2	no	—
1250	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1252	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1253	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1254	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1255	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1257	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1258	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1259	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1262	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1263	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1264	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1265	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1266	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1267	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1268	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1269	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1270	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1271	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1272	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1273	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1274	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1275	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1276	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1277	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1278	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1279	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1280	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1281	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1282	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1283	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1284	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1285	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1286	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1287	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1288	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1289	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1290	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1291	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1292	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1293	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1294	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1295	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1296	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1297	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1298	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1299	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1300	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1301	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1302	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1303	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1304	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1305	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1306	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1307	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1308	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1309	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1310	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1311	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1312	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1313	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1314	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1315	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1316	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1317	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1318	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1319	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1320	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1321	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1322	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1323	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1324	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1325	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1326	C₂²⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1327	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1328	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1329	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1330	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1331	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1332	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1333	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1334	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1335	C₂²⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1336	C₂²⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1337	C₂²⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1338	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1339	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1340	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1341	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1342	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1343	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1344	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1345	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1346	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1347	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1348	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1349	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1350	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1351	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1352	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1353	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1354	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1355	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1356	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1357	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1358	C₄²	C₂⁴×C₆₁	1	4	yes	—
1359	C₄²	C₂⁴×C₆₁	1	2	yes	—
1360	C₄²	C₂⁴×C₆₁	1	4	yes	—
1361	C₄²	C₂⁴×C₆₁	1	4	yes	—
1362	C₄²	C₂⁴×C₆₁	1	4	yes	—
1363	C₄²	C₂⁴×C₆₁	1	4	yes	—
1364	C₄²	C₂⁴×C₆₁	1	4	yes	—
1365	C₄²	C₂⁴×C₆₁	1	4	yes	—
1366	C₄²	C₂⁴×C₆₁	1	4	yes	—
1367	C₄²	C₂⁴×C₆₁	1	2	yes	—
1368	C₄²	C₂⁴×C₆₁	1	4	yes	—
1369	C₄²	C₂⁴×C₆₁	1	4	yes	—
1370	C₄²	C₂⁴×C₆₁	1	4	yes	—
1371	C₄²	C₂⁴×C₆₁	1	8	yes	—
1372	C₄²	C₂⁴×C₆₁	1	8	yes	—
1373	C₂³	—	2	2	no	—
1374	C₂³	—	2	2	no	—
1375	C₂³	—	2	2	no	—
1376	C₂³	—	2	4	no	—
1377	C₂³	—	4	1	no	—
1378	C₂³	—	4	2	no	—
1379	C₂³	—	4	1	no	—
1380	C₂³	—	4	2	no	—
1381	C₂³	—	4	1	no	—
1382	C₂³	C₂⁵×C₆₁	1	2	yes	—
1383	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1384	C₂³	C₂⁵×C₆₁	1	4	yes	—
1385	C₂³	C₂⁵×C₆₁	1	4	yes	—
1386	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1387	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1388	Q₈	—	2	4	no	—
1389	Q₈	—	4	4	no	—
1390	Q₈	—	4	4	no	—
1391	Q₈	—	4	8	no	—
1392	Q₈	—	4	4	no	—
1393	Q₈	—	4	4	no	—
1394	Q₈	—	4	4	no	—
1395	Q₈	—	4	8	no	—
1396	D₄	—	2	8	no	—
1397	D₄	—	2	4	no	—
1398	D₄	—	2	8	no	—
1399	D₄	—	2	8	no	—
1400	D₄	—	2	8	no	—
1401	D₄	—	2	4	no	—
1402	D₄	—	4	2	no	—
1403	D₄	—	4	4	no	—
1404	D₄	—	4	8	no	—
1405	D₄	—	4	4	no	—
1406	D₄	—	4	8	no	—
1407	D₄	—	4	4	no	—
1408	D₄	—	4	4	no	—
1409	D₄	—	4	8	no	—
1410	D₄	—	4	4	no	—
1411	C₂×C₄	—	2	2	no	—
1412	C₂×C₄	—	2	2	no	—
1413	C₂×C₄	—	2	8	no	—
1414	C₂×C₄	—	2	4	no	—
1415	C₂×C₄	—	2	4	no	—
1416	C₂×C₄	—	2	4	no	—
1417	C₂×C₄	—	2	4	no	—
1418	C₂×C₄	—	2	8	no	—
1419	C₂×C₄	—	4	1	no	—
1420	C₂×C₄	—	4	2	no	—
1421	C₂×C₄	—	4	2	no	—
1422	C₂×C₄	—	4	4	no	—
1423	C₂×C₄	—	4	4	no	—
1424	C₂×C₄	—	4	4	no	—
1425	C₂×C₄	—	4	4	no	—
1426	C₂×C₄	—	4	2	no	—
1427	C₂×C₄	—	4	1	no	—
1428	C₂×C₄	—	4	4	no	—
1429	C₂×C₄	—	4	8	no	—
1430	C₂×C₄	—	4	8	no	—
1431	C₂×C₄	—	4	8	no	—
1432	C₂×C₄	—	4	4	no	—
1433	C₂×C₄	—	4	4	no	—
1434	C₂×C₄	—	4	4	no	—
1435	C₂×C₄	—	4	8	no	—
1436	C₂×C₄	—	4	4	no	—
1437	C₂×C₄	2₋¹⁺⁴×C₆₁	1	4	yes	—
1438	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1439	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1440	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1441	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1442	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1443	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1444	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1445	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1446	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1447	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1448	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1449	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1450	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1451	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1452	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1453	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1454	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1455	C₂²	—	2	1	no	—
1456	C₂²	—	2	1	no	—
1457	C₂²	—	2	1	no	—
1458	C₂²	—	2	1	no	—
1459	C₂²	—	2	1	no	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	4	no	—
1462	C₂²	—	2	4	no	—
1463	C₂²	—	2	4	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	4	no	—
1466	C₂²	—	2	1	no	—
1467	C₂²	—	2	1	no	—
1468	C₂²	—	2	4	no	—
1469	C₂²	—	2	4	no	—
1470	C₂²	—	2	2	no	—
1471	C₂²	—	4	4	no	—
1472	C₂²	—	8	2	no	—
1473	C₂²	—	8	4	no	—
1474	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	2	yes	—
1475	C₂²	C₆₁×#585	1	2	yes	—
1476	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
1477	C₄	—	2	1	no	—
1478	C₄	—	2	1	no	—
1479	C₄	—	2	2	no	—
1480	C₄	—	2	4	no	—
1481	C₄	—	2	4	no	—
1482	C₄	—	2	4	no	—
1483	C₄	—	2	4	no	—
1484	C₄	—	2	2	no	—
1485	C₄	—	2	4	no	—
1486	C₄	—	2	1	no	—
1487	C₄	—	2	4	no	—
1488	C₄	—	2	4	no	—
1489	C₄	—	2	4	no	—
1490	C₄	—	2	1	no	—
1491	C₄	—	2	4	no	—
1492	C₄	—	2	4	no	—
1493	C₄	C₂×2₋¹⁺⁴×C₆₁	1	4	yes	—
1494	C₂	—	2	2	no	—
1495	C₂	—	2	2	no	—
1496	C₂	—	4	1	no	—
1497	C₂	—	4	2	no	—
1498	C₂	—	4	4	no	—
1499	C₂	—	4	4	no	—
1500	C₂	C₂²×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1501	C₂	C₂×C₆₁×#585	1	1	yes	characteristic
1502	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×#3565	C₂	semidirect
2. C₆₁×#3565	C₂	semidirect
3. C₆₁×#3564	C₂	semidirect
4. C₆₁×#3559	C₂	semidirect
5. C₆₁×#3559	C₂	semidirect
6. C₆₁×#3552	C₂	semidirect
7. C₆₁×#3547	C₂	semidirect
8. C₆₁×#3536	C₂	semidirect
9. C₆₁×#3535	C₂	semidirect
10. C₆₁×#3520	C₂	semidirect
11. C₆₁×#3515	C₂	semidirect
12. C₆₁×#3511	C₂	semidirect
13. C₆₁×#3504	C₂	semidirect
14. C₆₁×#3501	C₂	semidirect
15. C₆₁×#3494	C₂	semidirect
16. C₆₁×#3494	C₂	semidirect
17. C₆₁×#3493	C₂	semidirect
18. C₆₁×#3492	C₂	semidirect
19. C₆₁×#3475	C₂	semidirect
20. C₂×C₆₁×#553	C₂	semidirect
21. C₆₁×#3460	C₂	semidirect
22. C₆₁×#3458	C₂	semidirect
23. C₂×C₆₁×#544	C₂	semidirect
24. C₆₁×#563	C₂²	semidirect
25. C₆₁×#563	C₂²	semidirect
26. C₆₁×#563	C₂²	semidirect
27. C₆₁×#562	C₂²	semidirect
28. C₆₁×#562	C₂²	semidirect
29. C₆₁×#562	C₂²	semidirect
30. C₆₁×#557	C₂²	semidirect
31. C₆₁×#557	C₂²	semidirect
32. C₆₁×#556	C₂²	semidirect
33. C₆₁×#556	C₂²	semidirect
34. C₆₁×#556	C₂²	semidirect
35. C₆₁×#556	C₂²	semidirect
36. C₆₁×#555	C₂²	semidirect
37. C₆₁×#555	C₂²	semidirect
38. C₆₁×#555	C₂²	semidirect
39. C₆₁×#555	C₂²	semidirect
42. C₆₁×#554	C₂²	semidirect
43. C₆₁×#554	C₂²	semidirect
44. C₆₁×#554	C₂²	semidirect
45. C₆₁×#554	C₂²	semidirect
46. C₆₁×#554	C₂²	semidirect
47. C₆₁×#554	C₂²	semidirect
48. C₆₁×#554	C₂²	semidirect
53. C₆₁×#553	C₂²	semidirect
54. C₆₁×#553	C₂²	semidirect
55. C₆₁×#553	C₂²	semidirect
56. C₆₁×#553	C₂²	semidirect
57. C₆₁×#553	C₂²	semidirect
58. C₆₁×#553	C₂²	semidirect
59. C₆₁×#553	C₂²	semidirect
60. C₆₁×#553	C₂²	semidirect
62. C₆₁×#552	C₂²	semidirect
63. C₆₁×#552	C₂²	semidirect
64. C₆₁×#552	C₂²	semidirect
65. C₆₁×#552	C₂²	semidirect
66. C₆₁×#552	C₂²	semidirect
67. C₆₁×#552	C₂²	semidirect
68. C₆₁×#552	C₂²	semidirect
69. C₆₁×#552	C₂²	semidirect
74. D₄×Q₈×C₆₁	C₂²	semidirect
75. D₄×Q₈×C₆₁	C₂²	semidirect
76. C₆₁×#548	C₂²	semidirect
77. C₆₁×#548	C₂²	semidirect
78. C₆₁×#548	C₂²	semidirect
79. C₆₁×#547	C₂²	semidirect
80. C₆₁×#547	C₂²	semidirect
81. C₆₁×#547	C₂²	semidirect
82. C₆₁×#547	C₂²	semidirect
83. C₆₁×#547	C₂²	semidirect
84. C₆₁×#547	C₂²	semidirect
85. C₆₁×#547	C₂²	semidirect
86. C₆₁×#547	C₂²	semidirect
96. C₆₁×#544	C₂²	semidirect
97. C₆₁×#544	C₂²	semidirect
98. C₆₁×#544	C₂²	semidirect
99. C₆₁×#544	C₂²	semidirect
100. C₆₁×#544	C₂²	semidirect
101. C₆₁×#544	C₂²	semidirect
104. C₆₁×#542	C₂²	semidirect
105. C₆₁×#542	C₂²	semidirect
106. C₆₁×#542	C₂²	semidirect
107. C₆₁×#542	C₂²	semidirect
108. C₆₁×#542	C₂²	semidirect
109. C₆₁×#542	C₂²	semidirect
110. C₆₁×#542	C₂²	semidirect
111. C₆₁×#541	C₂²	semidirect
112. C₆₁×#541	C₂²	semidirect
113. C₆₁×#540	C₂²	semidirect
114. C₆₁×#540	C₂²	semidirect
115. C₆₁×#540	C₂²	semidirect
117. C₆₁×#539	C₂²	semidirect
118. C₆₁×#539	C₂²	semidirect
119. C₆₁×#539	C₂²	semidirect
120. C₆₁×#539	C₂²	semidirect
121. C₆₁×#539	C₂²	semidirect
122. C₆₁×#539	C₂²	semidirect
126. C₆₁×#537	C₂²	semidirect
127. C₆₁×#537	C₂²	semidirect
128. C₆₁×#536	C₂²	semidirect
132. C₆₁×#533	C₂²	semidirect
133. C₆₁×#533	C₂²	semidirect
134. C₆₁×#533	C₂²	semidirect
135. C₆₁×#532	C₂²	semidirect
136. C₆₁×#532	C₂²	semidirect
137. C₆₁×#532	C₂²	semidirect
138. C₂×C₄⋊Q₈×C₆₁	C₂²	semidirect
140. C₆₁×#529	C₂²	semidirect
141. C₆₁×#529	C₂²	semidirect
142. C₆₁×#529	C₂²	semidirect
143. C₆₁×#529	C₂²	semidirect
144. C₆₁×#529	C₂²	semidirect
145. C₆₁×#529	C₂²	semidirect
148. C₂×#125×C₆₁	C₂²	semidirect
149. C₂×#125×C₆₁	C₂²	semidirect
162. C₆₁×#520	C₂²	semidirect
165. C₄×#41×C₆₁	C₂²	semidirect
703. #62958	C₆₁	direct (N × H)
743. #3565	C₂×C₆₁	semidirect
744. #3565	C₂×C₆₁	semidirect
745. #3564	C₂×C₆₁	semidirect
746. #3559	C₂×C₆₁	semidirect
747. #3559	C₂×C₆₁	semidirect
748. #3552	C₂×C₆₁	semidirect
749. #3547	C₂×C₆₁	semidirect
750. #3536	C₂×C₆₁	semidirect
751. #3535	C₂×C₆₁	semidirect
752. #3520	C₂×C₆₁	semidirect
753. #3515	C₂×C₆₁	semidirect
754. #3511	C₂×C₆₁	semidirect
755. #3504	C₂×C₆₁	semidirect
756. #3501	C₂×C₆₁	semidirect
757. #3494	C₂×C₆₁	semidirect
758. #3494	C₂×C₆₁	semidirect
759. #3493	C₂×C₆₁	semidirect
760. #3492	C₂×C₆₁	semidirect
761. #3475	C₂×C₆₁	semidirect
762. C₂×#553	C₂×C₆₁	semidirect
763. #3460	C₂×C₆₁	semidirect
764. #3458	C₂×C₆₁	semidirect
765. C₂×#544	C₂×C₆₁	semidirect
775. #563	C₂²×C₆₁	semidirect
776. #563	C₂²×C₆₁	semidirect
777. #563	C₂²×C₆₁	semidirect
778. #562	C₂²×C₆₁	semidirect
779. #562	C₂²×C₆₁	semidirect
780. #562	C₂²×C₆₁	semidirect
781. #557	C₂²×C₆₁	semidirect
782. #557	C₂²×C₆₁	semidirect
783. #556	C₂²×C₆₁	semidirect
784. #556	C₂²×C₆₁	semidirect
785. #556	C₂²×C₆₁	semidirect
786. #556	C₂²×C₆₁	semidirect
787. #555	C₂²×C₆₁	semidirect
788. #555	C₂²×C₆₁	semidirect
789. #555	C₂²×C₆₁	semidirect
790. #555	C₂²×C₆₁	semidirect
793. #554	C₂²×C₆₁	semidirect
794. #554	C₂²×C₆₁	semidirect
795. #554	C₂²×C₆₁	semidirect
796. #554	C₂²×C₆₁	semidirect
797. #554	C₂²×C₆₁	semidirect
798. #554	C₂²×C₆₁	semidirect
799. #554	C₂²×C₆₁	semidirect
804. #553	C₂²×C₆₁	semidirect
805. #553	C₂²×C₆₁	semidirect
806. #553	C₂²×C₆₁	semidirect
807. #553	C₂²×C₆₁	semidirect
808. #553	C₂²×C₆₁	semidirect
809. #553	C₂²×C₆₁	semidirect
810. #553	C₂²×C₆₁	semidirect
811. #553	C₂²×C₆₁	semidirect
813. #552	C₂²×C₆₁	semidirect
814. #552	C₂²×C₆₁	semidirect
815. #552	C₂²×C₆₁	semidirect
816. #552	C₂²×C₆₁	semidirect
817. #552	C₂²×C₆₁	semidirect
818. #552	C₂²×C₆₁	semidirect
819. #552	C₂²×C₆₁	semidirect
820. #552	C₂²×C₆₁	semidirect
825. D₄×Q₈	C₂²×C₆₁	semidirect
826. D₄×Q₈	C₂²×C₆₁	semidirect
827. #548	C₂²×C₆₁	semidirect
828. #548	C₂²×C₆₁	semidirect
829. #548	C₂²×C₆₁	semidirect
830. #547	C₂²×C₆₁	semidirect
831. #547	C₂²×C₆₁	semidirect
832. #547	C₂²×C₆₁	semidirect
833. #547	C₂²×C₆₁	semidirect
834. #547	C₂²×C₆₁	semidirect
835. #547	C₂²×C₆₁	semidirect
836. #547	C₂²×C₆₁	semidirect
837. #547	C₂²×C₆₁	semidirect
847. #544	C₂²×C₆₁	semidirect
848. #544	C₂²×C₆₁	semidirect
849. #544	C₂²×C₆₁	semidirect
850. #544	C₂²×C₆₁	semidirect
851. #544	C₂²×C₆₁	semidirect
852. #544	C₂²×C₆₁	semidirect
855. #542	C₂²×C₆₁	semidirect
856. #542	C₂²×C₆₁	semidirect
857. #542	C₂²×C₆₁	semidirect
858. #542	C₂²×C₆₁	semidirect
859. #542	C₂²×C₆₁	semidirect
860. #542	C₂²×C₆₁	semidirect
861. #542	C₂²×C₆₁	semidirect
862. #541	C₂²×C₆₁	semidirect
863. #541	C₂²×C₆₁	semidirect
864. #540	C₂²×C₆₁	semidirect
865. #540	C₂²×C₆₁	semidirect
866. #540	C₂²×C₆₁	semidirect
868. #539	C₂²×C₆₁	semidirect
869. #539	C₂²×C₆₁	semidirect
870. #539	C₂²×C₆₁	semidirect
871. #539	C₂²×C₆₁	semidirect
872. #539	C₂²×C₆₁	semidirect
873. #539	C₂²×C₆₁	semidirect
877. #537	C₂²×C₆₁	semidirect
878. #537	C₂²×C₆₁	semidirect
879. #536	C₂²×C₆₁	semidirect
883. #533	C₂²×C₆₁	semidirect
884. #533	C₂²×C₆₁	semidirect
885. #533	C₂²×C₆₁	semidirect
886. #532	C₂²×C₆₁	semidirect
887. #532	C₂²×C₆₁	semidirect
888. #532	C₂²×C₆₁	semidirect
889. C₂×C₄⋊Q₈	C₂²×C₆₁	semidirect
891. #529	C₂²×C₆₁	semidirect
892. #529	C₂²×C₆₁	semidirect
893. #529	C₂²×C₆₁	semidirect
894. #529	C₂²×C₆₁	semidirect
895. #529	C₂²×C₆₁	semidirect
896. #529	C₂²×C₆₁	semidirect
899. C₂×#125	C₂²×C₆₁	semidirect
900. C₂×#125	C₂²×C₆₁	semidirect
913. #520	C₂²×C₆₁	semidirect
916. C₄×#41	C₂²×C₆₁	semidirect
924. C₆₁	#62958	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×#3565	2
C₆₁×#3564	2
C₆₁×#3559	2
C₆₁×#3552	2
C₆₁×#3547	2
C₆₁×#3536	2
C₆₁×#3535	2
C₆₁×#3520	2
C₆₁×#3515	2
C₆₁×#3511	2
C₆₁×#3504	2
C₆₁×#3501	2
C₆₁×#3494	2
C₆₁×#3493	2
C₆₁×#3492	2
C₆₁×#3475	2
C₂×C₆₁×#553	2
C₆₁×#3460	2
C₆₁×#3458	2
C₂×C₆₁×#544	2
#62958	61

Subgroups — C61×#62958 #29566391

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62958 #29566391