Subgroups — C₆₁×#62956 #29566389

Order 15616.

6346 conjugacy classes of subgroups.

The subgroup lattice has 1640 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×#3563	C₂	1	4	yes	maximal, complemented
3	C₆₁×#3557	C₂	1	4	yes	maximal, complemented
4	C₆₁×#3556	C₂	1	2	yes	maximal, complemented
5	C₆₁×#3555	C₂	1	4	yes	maximal, complemented
6	C₆₁×#3555	C₂	1	2	yes	maximal, complemented
7	C₆₁×#3554	C₂	1	2	yes	maximal, complemented
8	C₆₁×#3553	C₂	1	8	yes	maximal, complemented
9	C₆₁×#3552	C₂	1	4	yes	maximal, complemented
10	C₆₁×#3552	C₂	1	2	yes	maximal, complemented
11	C₆₁×#3523	C₂	1	2	yes	maximal, complemented
12	C₆₁×#3516	C₂	1	4	yes	maximal, complemented
13	C₆₁×#3515	C₂	1	2	yes	maximal, complemented
14	C₆₁×#3512	C₂	1	2	yes	maximal, complemented
15	C₆₁×#3511	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3509	C₂	1	2	yes	maximal, complemented
17	C₆₁×#3507	C₂	1	2	yes	maximal, complemented
18	C₆₁×#3507	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3507	C₂	1	2	yes	maximal, complemented
20	C₆₁×#3504	C₂	1	2	yes	maximal, complemented
21	C₆₁×#3503	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3480	C₂	1	1	yes	maximal, characteristic, complemented
23	Q₈×#41×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₆₁×#557	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3461	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3461	C₂	1	2	yes	maximal, complemented
27	C₆₁×#564	C₂²	1	8	yes	—
28	C₆₁×#563	C₂²	1	8	yes	—
29	C₆₁×#563	C₂²	1	8	yes	—
30	C₆₁×#563	C₂²	1	8	yes	—
31	C₆₁×#563	C₂²	1	8	yes	—
32	C₆₁×#562	C₂²	1	8	yes	—
33	C₆₁×#559	C₂²	1	4	yes	—
34	C₆₁×#559	C₂²	1	2	yes	—
35	C₆₁×#559	C₂²	1	2	yes	—
36	C₆₁×#559	C₂²	1	1	yes	characteristic
37	Q₈²×C₆₁	C₂²	1	1	yes	characteristic
38	Q₈²×C₆₁	C₂²	1	2	yes	—
39	C₆₁×#557	C₂²	1	2	yes	—
40	C₆₁×#557	C₂²	1	4	yes	—
41	C₆₁×#557	C₂²	1	2	yes	—
42	C₆₁×#557	C₂²	1	4	yes	—
43	C₆₁×#557	C₂²	1	4	yes	—
44	C₆₁×#557	C₂²	1	4	yes	—
45	C₆₁×#557	C₂²	1	4	yes	—
46	C₆₁×#557	C₂²	1	1	yes	characteristic
47	C₆₁×#557	C₂²	1	4	yes	—
48	C₆₁×#557	C₂²	1	2	yes	—
49	C₆₁×#557	C₂²	1	2	yes	—
50	C₆₁×#557	C₂²	1	2	yes	—
51	C₆₁×#557	C₂²	1	4	yes	—
52	C₆₁×#557	C₂²	1	2	yes	—
53	C₆₁×#557	C₂²	1	2	yes	—
54	C₆₁×#557	C₂²	1	1	yes	characteristic
55	C₆₁×#556	C₂²	1	4	yes	—
56	C₆₁×#556	C₂²	1	2	yes	—
57	C₆₁×#556	C₂²	1	2	yes	—
58	C₆₁×#556	C₂²	1	4	yes	—
59	C₆₁×#556	C₂²	1	4	yes	—
60	C₆₁×#556	C₂²	1	8	yes	—
61	C₆₁×#556	C₂²	1	4	yes	—
62	C₆₁×#556	C₂²	1	2	yes	—
63	C₆₁×#556	C₂²	1	4	yes	—
64	C₆₁×#556	C₂²	1	1	yes	characteristic
65	C₆₁×#556	C₂²	1	4	yes	—
66	C₆₁×#555	C₂²	1	2	yes	—
67	C₆₁×#554	C₂²	1	8	yes	—
68	C₆₁×#554	C₂²	1	4	yes	—
69	C₆₁×#554	C₂²	1	4	yes	—
70	C₆₁×#554	C₂²	1	4	yes	—
71	C₆₁×#554	C₂²	1	8	yes	—
72	C₆₁×#554	C₂²	1	4	yes	—
73	C₆₁×#554	C₂²	1	2	yes	—
74	C₆₁×#554	C₂²	1	2	yes	—
75	C₆₁×#554	C₂²	1	4	yes	—
76	C₆₁×#554	C₂²	1	2	yes	—
77	C₆₁×#554	C₂²	1	2	yes	—
78	C₆₁×#554	C₂²	1	1	yes	characteristic
79	C₆₁×#554	C₂²	1	2	yes	—
80	C₆₁×#553	C₂²	1	8	yes	—
81	C₆₁×#553	C₂²	1	4	yes	—
82	C₆₁×#553	C₂²	1	4	yes	—
83	C₆₁×#553	C₂²	1	4	yes	—
84	C₆₁×#553	C₂²	1	8	yes	—
85	C₆₁×#553	C₂²	1	4	yes	—
86	C₆₁×#553	C₂²	1	2	yes	—
87	C₆₁×#552	C₂²	1	8	yes	—
88	C₆₁×#552	C₂²	1	8	yes	—
89	C₆₁×#552	C₂²	1	8	yes	—
90	C₆₁×#552	C₂²	1	8	yes	—
91	C₆₁×#552	C₂²	1	4	yes	—
92	C₆₁×#552	C₂²	1	8	yes	—
93	C₆₁×#552	C₂²	1	4	yes	—
94	C₆₁×#552	C₂²	1	4	yes	—
95	C₆₁×#552	C₂²	1	4	yes	—
96	C₆₁×#552	C₂²	1	4	yes	—
97	C₆₁×#552	C₂²	1	4	yes	—
98	C₆₁×#550	C₂²	1	1	yes	characteristic
99	D₄×Q₈×C₆₁	C₂²	1	2	yes	—
100	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
101	D₄×Q₈×C₆₁	C₂²	1	4	yes	—
102	D₄×Q₈×C₆₁	C₂²	1	4	yes	—
103	D₄×Q₈×C₆₁	C₂²	1	2	yes	—
104	C₆₁×#548	C₂²	1	2	yes	—
105	C₆₁×#548	C₂²	1	4	yes	—
106	C₆₁×#548	C₂²	1	4	yes	—
107	C₆₁×#547	C₂²	1	4	yes	—
108	C₆₁×#547	C₂²	1	2	yes	—
109	C₆₁×#544	C₂²	1	8	yes	—
110	C₆₁×#544	C₂²	1	4	yes	—
111	C₆₁×#544	C₂²	1	4	yes	—
112	C₆₁×#544	C₂²	1	4	yes	—
113	C₆₁×#544	C₂²	1	2	yes	—
114	C₆₁×#544	C₂²	1	1	yes	characteristic
115	C₆₁×#542	C₂²	1	8	yes	—
116	C₆₁×#542	C₂²	1	4	yes	—
117	C₆₁×#542	C₂²	1	4	yes	—
118	C₆₁×#542	C₂²	1	4	yes	—
119	C₆₁×#542	C₂²	1	4	yes	—
120	C₆₁×#542	C₂²	1	2	yes	—
121	C₆₁×#542	C₂²	1	8	yes	—
122	C₆₁×#542	C₂²	1	2	yes	—
123	C₆₁×#541	C₂²	1	4	yes	—
124	C₆₁×#541	C₂²	1	4	yes	—
125	C₆₁×#541	C₂²	1	4	yes	—
126	C₆₁×#541	C₂²	1	8	yes	—
127	C₆₁×#541	C₂²	1	8	yes	—
128	C₆₁×#541	C₂²	1	8	yes	—
129	C₆₁×#541	C₂²	1	8	yes	—
130	C₆₁×#541	C₂²	1	2	yes	—
131	C₆₁×#541	C₂²	1	4	yes	—
132	C₆₁×#541	C₂²	1	4	yes	—
133	C₆₁×#541	C₂²	1	8	yes	—
134	C₆₁×#541	C₂²	1	4	yes	—
135	C₆₁×#541	C₂²	1	2	yes	—
136	C₆₁×#540	C₂²	1	4	yes	—
137	C₆₁×#539	C₂²	1	8	yes	—
138	C₆₁×#539	C₂²	1	8	yes	—
139	C₆₁×#539	C₂²	1	8	yes	—
140	C₆₁×#539	C₂²	1	4	yes	—
141	C₆₁×#539	C₂²	1	4	yes	—
142	C₆₁×#539	C₂²	1	8	yes	—
143	C₆₁×#539	C₂²	1	8	yes	—
144	C₆₁×#539	C₂²	1	8	yes	—
145	C₆₁×#537	C₂²	1	2	yes	—
146	C₆₁×#537	C₂²	1	1	yes	characteristic
147	C₆₁×#536	C₂²	1	4	yes	—
148	C₆₁×#536	C₂²	1	4	yes	—
149	C₆₁×#536	C₂²	1	1	yes	characteristic
150	C₆₁×#536	C₂²	1	2	yes	—
151	C₆₁×#536	C₂²	1	1	yes	characteristic
152	C₆₁×#533	C₂²	1	2	yes	—
153	C₆₁×#533	C₂²	1	4	yes	—
154	C₆₁×#533	C₂²	1	2	yes	—
155	C₆₁×#533	C₂²	1	4	yes	—
156	C₆₁×#533	C₂²	1	2	yes	—
157	C₆₁×#533	C₂²	1	2	yes	—
158	C₆₁×#533	C₂²	1	2	yes	—
159	C₆₁×#533	C₂²	1	4	yes	—
160	C₆₁×#533	C₂²	1	4	yes	—
161	C₆₁×#533	C₂²	1	1	yes	characteristic
162	C₆₁×#533	C₂²	1	2	yes	—
163	C₆₁×#532	C₂²	1	2	yes	—
164	C₆₁×#532	C₂²	1	1	yes	characteristic
165	C₆₁×#532	C₂²	1	2	yes	—
166	C₂×C₄⋊Q₈×C₆₁	C₂²	1	2	yes	—
167	C₂×C₄⋊Q₈×C₆₁	C₂²	1	2	yes	—
168	C₂×C₄⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
169	C₆₁×#529	C₂²	1	2	yes	—
170	C₆₁×#529	C₂²	1	2	yes	—
171	C₆₁×#529	C₂²	1	4	yes	—
172	C₆₁×#529	C₂²	1	4	yes	—
173	C₆₁×#529	C₂²	1	8	yes	—
174	C₆₁×#529	C₂²	1	8	yes	—
175	C₆₁×#529	C₂²	1	2	yes	—
176	C₆₁×#529	C₂²	1	4	yes	—
177	C₆₁×#529	C₂²	1	4	yes	—
178	C₆₁×#529	C₂²	1	4	yes	—
179	C₆₁×#529	C₂²	1	4	yes	—
180	C₆₁×#529	C₂²	1	4	yes	—
181	C₂×#125×C₆₁	C₂²	1	4	yes	—
182	C₂×#125×C₆₁	C₂²	1	4	yes	—
183	C₂×#125×C₆₁	C₂²	1	2	yes	—
184	C₆₁×#520	C₂²	1	2	yes	—
185	C₆₁×#520	C₂²	1	2	yes	—
186	C₆₁×#520	C₂²	1	2	yes	—
187	C₆₁×#520	C₂²	1	4	yes	—
188	C₆₁×#519	C₂²	1	4	yes	—
189	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
190	C₄×#41×C₆₁	C₂²	1	2	yes	—
191	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
192	C₄×#41×C₆₁	C₂²	1	2	yes	—
193	C₄×#41×C₆₁	C₂²	1	2	yes	—
194	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
195	C₂×C₄×Q₈×C₆₁	C₂²	1	2	yes	—
196	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
197	C₂×C₄×Q₈×C₆₁	C₂²	1	2	yes	—
198	C₂×C₄×Q₈×C₆₁	C₂²	1	2	yes	—
199	C₂×#41×C₆₁	C₂³	1	2	yes	—
200	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
201	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
202	C₂×#41×C₆₁	C₂³	1	4	yes	—
203	C₂×#41×C₆₁	C₂³	1	2	yes	—
204	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
207	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
208	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
209	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
210	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
211	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
212	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
213	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
214	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
215	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
216	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
217	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
218	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
219	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
220	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
221	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
222	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
223	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
224	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
225	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
226	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
227	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
228	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
229	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
230	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
231	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
232	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
233	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
234	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
235	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
236	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
237	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
238	#127×C₆₁	C₂³	1	1	yes	characteristic
239	#127×C₆₁	C₂³	1	2	yes	—
240	#126×C₆₁	C₂³	1	4	yes	—
241	#126×C₆₁	C₂³	1	8	yes	—
242	#126×C₆₁	C₂³	1	8	yes	—
243	#126×C₆₁	C₂³	1	8	yes	—
244	#126×C₆₁	C₂³	1	8	yes	—
245	#126×C₆₁	C₂³	1	8	yes	—
246	#126×C₆₁	C₂³	1	8	yes	—
247	#126×C₆₁	C₂³	1	8	yes	—
248	#126×C₆₁	C₂³	1	4	yes	—
249	#126×C₆₁	C₂³	1	8	yes	—
250	#126×C₆₁	C₂³	1	8	yes	—
251	#126×C₆₁	C₂³	1	8	yes	—
252	#126×C₆₁	C₂³	1	8	yes	—
253	#126×C₆₁	C₂³	1	8	yes	—
254	#126×C₆₁	C₂³	1	4	yes	—
255	#126×C₆₁	C₂³	1	8	yes	—
256	#126×C₆₁	C₂³	1	8	yes	—
257	#126×C₆₁	C₂³	1	4	yes	—
258	#126×C₆₁	C₂³	1	4	yes	—
259	#126×C₆₁	C₂³	1	4	yes	—
260	#126×C₆₁	C₂³	1	8	yes	—
261	#126×C₆₁	C₂³	1	4	yes	—
262	#125×C₆₁	C₂³	1	2	yes	—
263	#125×C₆₁	C₂³	1	4	yes	—
264	#125×C₆₁	C₂³	1	4	yes	—
265	#125×C₆₁	C₂³	1	8	yes	—
266	#125×C₆₁	C₂³	1	4	yes	—
267	#125×C₆₁	C₂³	1	8	yes	—
268	#125×C₆₁	C₂³	1	4	yes	—
269	#125×C₆₁	C₂³	1	4	yes	—
270	#125×C₆₁	C₂³	1	4	yes	—
271	#125×C₆₁	C₂³	1	4	yes	—
272	#125×C₆₁	C₂³	1	2	yes	—
273	#125×C₆₁	C₂³	1	2	yes	—
274	#125×C₆₁	C₂³	1	4	yes	—
275	#125×C₆₁	C₂³	1	8	yes	—
276	#125×C₆₁	C₂³	1	8	yes	—
277	#125×C₆₁	C₂³	1	8	yes	—
278	#125×C₆₁	C₂³	1	8	yes	—
279	#125×C₆₁	C₂³	1	8	yes	—
280	#125×C₆₁	C₂³	1	8	yes	—
281	#125×C₆₁	C₂³	1	8	yes	—
282	#125×C₆₁	C₂³	1	8	yes	—
283	#125×C₆₁	C₂³	1	8	yes	—
284	#125×C₆₁	C₂³	1	8	yes	—
285	#125×C₆₁	C₂³	1	4	yes	—
286	#125×C₆₁	C₂³	1	4	yes	—
287	#125×C₆₁	C₂³	1	8	yes	—
288	#125×C₆₁	C₂³	1	8	yes	—
289	#125×C₆₁	C₂³	1	8	yes	—
290	#125×C₆₁	C₂³	1	8	yes	—
291	#125×C₆₁	C₂³	1	4	yes	—
292	#125×C₆₁	C₂³	1	8	yes	—
293	#125×C₆₁	C₂³	1	2	yes	—
294	#125×C₆₁	C₂³	1	4	yes	—
295	#125×C₆₁	C₂³	1	8	yes	—
296	#125×C₆₁	C₂³	1	2	yes	—
297	#125×C₆₁	C₂³	1	2	yes	—
298	#125×C₆₁	C₂³	1	4	yes	—
299	#125×C₆₁	C₂³	1	4	yes	—
300	#125×C₆₁	C₂³	1	4	yes	—
301	#124×C₆₁	C₂³	1	4	yes	—
302	#124×C₆₁	C₂³	1	2	yes	—
303	#124×C₆₁	C₂³	1	2	yes	—
304	#124×C₆₁	C₂³	1	2	yes	—
305	#124×C₆₁	C₂³	1	2	yes	—
306	#124×C₆₁	C₂³	1	4	yes	—
307	#124×C₆₁	C₂³	1	2	yes	—
308	#124×C₆₁	C₂³	1	2	yes	—
309	#124×C₆₁	C₂³	1	4	yes	—
310	#124×C₆₁	C₂³	1	4	yes	—
311	#124×C₆₁	C₂³	1	8	yes	—
312	#124×C₆₁	C₂³	1	8	yes	—
313	#124×C₆₁	C₂³	1	4	yes	—
314	#124×C₆₁	C₂³	1	8	yes	—
315	#123×C₆₁	C₂³	1	8	yes	—
316	#123×C₆₁	C₂³	1	4	yes	—
317	#123×C₆₁	C₂³	1	4	yes	—
318	#123×C₆₁	C₂³	1	8	yes	—
319	#123×C₆₁	C₂³	1	8	yes	—
320	#123×C₆₁	C₂³	1	8	yes	—
321	#123×C₆₁	C₂³	1	8	yes	—
322	#123×C₆₁	C₂³	1	4	yes	—
323	#123×C₆₁	C₂³	1	8	yes	—
324	#123×C₆₁	C₂³	1	8	yes	—
325	#123×C₆₁	C₂³	1	8	yes	—
326	#123×C₆₁	C₂³	1	4	yes	—
327	#123×C₆₁	C₂³	1	4	yes	—
328	#123×C₆₁	C₂³	1	8	yes	—
329	#123×C₆₁	C₂³	1	8	yes	—
330	#123×C₆₁	C₂³	1	8	yes	—
331	#123×C₆₁	C₂³	1	4	yes	—
332	#123×C₆₁	C₂³	1	4	yes	—
333	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
334	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
335	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
336	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
337	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
338	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
339	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
340	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
341	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
342	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
343	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
344	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
345	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
346	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
347	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
348	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
349	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
350	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
351	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
352	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
353	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
354	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
355	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
356	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
357	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
358	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
359	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
360	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
361	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
362	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
363	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
364	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
365	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
366	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
367	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
368	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
369	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
370	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
371	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
372	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
373	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
374	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
375	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
376	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
377	#121×C₆₁	C₂³	1	4	yes	—
378	#121×C₆₁	C₂³	1	4	yes	—
379	#121×C₆₁	C₂³	1	2	yes	—
380	#121×C₆₁	C₂³	1	4	yes	—
381	#121×C₆₁	C₂³	1	2	yes	—
382	#121×C₆₁	C₂³	1	4	yes	—
383	#121×C₆₁	C₂³	1	8	yes	—
384	#121×C₆₁	C₂³	1	4	yes	—
385	#121×C₆₁	C₂³	1	2	yes	—
386	#121×C₆₁	C₂³	1	4	yes	—
387	#121×C₆₁	C₂³	1	2	yes	—
388	#121×C₆₁	C₂³	1	4	yes	—
389	#121×C₆₁	C₂³	1	8	yes	—
390	#121×C₆₁	C₂³	1	8	yes	—
391	#121×C₆₁	C₂³	1	2	yes	—
392	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
393	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
394	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
395	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
396	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
397	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
398	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
399	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
400	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
401	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
402	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
403	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
404	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
405	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
406	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
407	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
408	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
409	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
410	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
411	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
412	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
413	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
414	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
415	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
416	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
417	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
418	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
419	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
420	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
421	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
422	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
423	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
424	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
425	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
426	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
427	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
428	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
429	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
430	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
431	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
432	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
433	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
434	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
435	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
436	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
437	C₄×D₄×C₆₁	C₂³	1	4	yes	—
438	C₄×D₄×C₆₁	C₂³	1	4	yes	—
439	C₄×D₄×C₆₁	C₂³	1	2	yes	—
440	C₄×D₄×C₆₁	C₂³	1	4	yes	—
441	C₄×D₄×C₆₁	C₂³	1	2	yes	—
442	C₄×D₄×C₆₁	C₂³	1	4	yes	—
443	C₄×D₄×C₆₁	C₂³	1	8	yes	—
444	C₄×D₄×C₆₁	C₂³	1	8	yes	—
445	C₄×D₄×C₆₁	C₂³	1	4	yes	—
446	C₄×D₄×C₆₁	C₂³	1	4	yes	—
447	C₄×D₄×C₆₁	C₂³	1	4	yes	—
448	C₄×D₄×C₆₁	C₂³	1	2	yes	—
449	C₄×D₄×C₆₁	C₂³	1	2	yes	—
450	C₄×D₄×C₆₁	C₂³	1	8	yes	—
451	C₄×D₄×C₆₁	C₂³	1	8	yes	—
452	C₄×D₄×C₆₁	C₂³	1	8	yes	—
453	C₄×D₄×C₆₁	C₂³	1	8	yes	—
454	C₄×D₄×C₆₁	C₂³	1	8	yes	—
455	C₄×D₄×C₆₁	C₂³	1	4	yes	—
456	C₄×D₄×C₆₁	C₂³	1	4	yes	—
457	C₄×D₄×C₆₁	C₂³	1	2	yes	—
458	C₄×D₄×C₆₁	C₂³	1	2	yes	—
459	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
460	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
461	C₄×D₄×C₆₁	C₂³	1	4	yes	—
462	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
463	C₄×D₄×C₆₁	C₂³	1	4	yes	—
464	C₄×D₄×C₆₁	C₂³	1	2	yes	—
465	C₄×D₄×C₆₁	C₂³	1	2	yes	—
466	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
467	C₄×D₄×C₆₁	C₂³	1	2	yes	—
468	C₄×D₄×C₆₁	C₂³	1	4	yes	—
469	C₄×D₄×C₆₁	C₂³	1	4	yes	—
470	C₄×D₄×C₆₁	C₂³	1	2	yes	—
471	C₄×D₄×C₆₁	C₂³	1	2	yes	—
472	#117×C₆₁	C₂³	1	1	yes	characteristic
473	#117×C₆₁	C₂³	1	2	yes	—
474	#117×C₆₁	C₂³	1	4	yes	—
475	#117×C₆₁	C₂³	1	2	yes	—
476	#117×C₆₁	C₂³	1	4	yes	—
477	#117×C₆₁	C₂³	1	4	yes	—
478	#117×C₆₁	C₂³	1	4	yes	—
479	#117×C₆₁	C₂³	1	4	yes	—
480	#117×C₆₁	C₂³	1	4	yes	—
481	#117×C₆₁	C₂³	1	4	yes	—
482	#117×C₆₁	C₂³	1	8	yes	—
483	#117×C₆₁	C₂³	1	8	yes	—
484	#117×C₆₁	C₂³	1	1	yes	characteristic
485	#117×C₆₁	C₂³	1	4	yes	—
486	#117×C₆₁	C₂³	1	2	yes	—
487	#117×C₆₁	C₂³	1	4	yes	—
488	#117×C₆₁	C₂³	1	8	yes	—
489	#117×C₆₁	C₂³	1	8	yes	—
490	#117×C₆₁	C₂³	1	8	yes	—
491	#117×C₆₁	C₂³	1	8	yes	—
492	#117×C₆₁	C₂³	1	8	yes	—
493	#117×C₆₁	C₂³	1	2	yes	—
494	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
495	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
496	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
497	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
498	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
499	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
500	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
501	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
502	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
503	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
504	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
505	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
506	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
507	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
508	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
510	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
511	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
512	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
513	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
514	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
515	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
516	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
517	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
518	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
519	#41×C₆₁	—	2	8	no	—
520	#41×C₆₁	—	2	4	no	—
521	#41×C₆₁	—	2	4	no	—
522	#41×C₆₁	—	4	4	no	—
523	#41×C₆₁	—	4	8	no	—
524	C₂×Q₈×C₆₁	—	2	4	no	—
525	C₂×Q₈×C₆₁	—	4	2	no	—
526	C₂×Q₈×C₆₁	—	4	4	no	—
527	C₂×Q₈×C₆₁	—	4	8	no	—
528	C₂×Q₈×C₆₁	—	4	4	no	—
529	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
530	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
531	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
532	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
533	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
534	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
535	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
537	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
538	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
539	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
540	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
541	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
542	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
543	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
544	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
545	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
546	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
547	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
548	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
549	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
550	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
551	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
552	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
553	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
554	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
555	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
556	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
557	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
558	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
560	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
561	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
562	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
563	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
564	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
565	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
567	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
568	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
569	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
570	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
571	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
572	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
573	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
574	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
575	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
576	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
577	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
578	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
579	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
580	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
581	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
582	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
583	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
584	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
585	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
586	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
587	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
588	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
589	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
590	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
591	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
592	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
593	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
594	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
595	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
596	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
597	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
598	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
599	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
600	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
601	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
602	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
603	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
604	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
605	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
606	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
607	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
609	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
610	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
611	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
612	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
613	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
614	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
615	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
616	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
617	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
618	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
620	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
621	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
622	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
623	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
624	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
625	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
628	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
629	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
630	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
631	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
632	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
633	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
634	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
635	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
636	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
637	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
638	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
639	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
640	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
641	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
642	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
643	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
644	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
645	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
646	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
647	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
648	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
649	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
650	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
651	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
652	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
653	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
654	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
655	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
656	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
657	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
658	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
659	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
660	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
661	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
662	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
663	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
664	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
665	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
666	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
667	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
668	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
669	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
670	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
671	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
672	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
673	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
674	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
675	C₄²×C₆₁	C₂⁴	1	2	yes	—
676	C₄²×C₆₁	C₂⁴	1	2	yes	—
677	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
678	C₄²×C₆₁	C₂⁴	1	2	yes	—
679	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
680	C₄²×C₆₁	C₂⁴	1	8	yes	—
681	C₄²×C₆₁	C₂⁴	1	4	yes	—
682	C₄²×C₆₁	C₂⁴	1	4	yes	—
683	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
684	C₄²×C₆₁	C₂⁴	1	2	yes	—
685	C₄²×C₆₁	C₂⁴	1	4	yes	—
686	C₄²×C₆₁	C₂⁴	1	2	yes	—
687	C₄²×C₆₁	C₂⁴	1	2	yes	—
688	C₄²×C₆₁	C₂⁴	1	4	yes	—
689	C₄²×C₆₁	C₂⁴	1	2	yes	—
690	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
691	C₄²×C₆₁	C₂⁴	1	2	yes	—
692	C₄²×C₆₁	C₂⁴	1	2	yes	—
693	C₄²×C₆₁	C₂⁴	1	4	yes	—
694	C₄²×C₆₁	C₂⁴	1	4	yes	—
695	C₄²×C₆₁	C₂⁴	1	2	yes	—
696	C₄²×C₆₁	C₂⁴	1	4	yes	—
697	C₄²×C₆₁	C₂⁴	1	8	yes	—
698	C₄²×C₆₁	C₂⁴	1	8	yes	—
699	C₄²×C₆₁	C₂⁴	1	8	yes	—
700	C₄²×C₆₁	C₂⁴	1	8	yes	—
701	C₂³×C₆₁	C₂⁵	1	2	yes	—
702	C₂³×C₆₁	C₂⁵	1	2	yes	—
703	C₂³×C₆₁	C₂⁵	1	4	yes	—
704	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
705	Q₈×C₆₁	—	2	4	no	—
706	Q₈×C₆₁	—	2	4	no	—
707	Q₈×C₆₁	—	2	2	no	—
708	Q₈×C₆₁	—	2	4	no	—
709	Q₈×C₆₁	—	2	2	no	—
710	Q₈×C₆₁	—	2	2	no	—
711	Q₈×C₆₁	—	2	4	no	—
712	Q₈×C₆₁	—	2	8	no	—
713	Q₈×C₆₁	—	2	2	no	—
714	Q₈×C₆₁	—	4	4	no	—
715	Q₈×C₆₁	—	4	8	no	—
716	Q₈×C₆₁	—	4	2	no	—
717	Q₈×C₆₁	—	4	4	no	—
718	Q₈×C₆₁	—	4	4	no	—
719	Q₈×C₆₁	—	4	2	no	—
720	Q₈×C₆₁	—	4	4	no	—
721	D₄×C₆₁	—	2	8	no	—
722	D₄×C₆₁	—	2	4	no	—
723	D₄×C₆₁	—	2	4	no	—
724	D₄×C₆₁	—	2	2	no	—
725	D₄×C₆₁	—	2	4	no	—
726	D₄×C₆₁	—	2	2	no	—
727	D₄×C₆₁	—	2	4	no	—
728	D₄×C₆₁	—	4	2	no	—
729	D₄×C₆₁	—	4	4	no	—
730	D₄×C₆₁	—	4	4	no	—
731	D₄×C₆₁	—	4	4	no	—
732	D₄×C₆₁	—	4	8	no	—
733	C₂×C₄×C₆₁	—	2	4	no	—
734	C₂×C₄×C₆₁	—	2	4	no	—
735	C₂×C₄×C₆₁	—	2	8	no	—
736	C₂×C₄×C₆₁	—	2	4	no	—
737	C₂×C₄×C₆₁	—	2	2	no	—
738	C₂×C₄×C₆₁	—	2	4	no	—
739	C₂×C₄×C₆₁	—	2	4	no	—
740	C₂×C₄×C₆₁	—	4	4	no	—
741	C₂×C₄×C₆₁	—	4	4	no	—
742	C₂×C₄×C₆₁	—	4	2	no	—
743	C₂×C₄×C₆₁	—	4	1	no	—
744	C₂×C₄×C₆₁	—	4	2	no	—
745	C₂×C₄×C₆₁	—	4	2	no	—
746	C₂×C₄×C₆₁	—	4	8	no	—
747	C₂×C₄×C₆₁	—	4	2	no	—
748	C₂×C₄×C₆₁	—	4	2	no	—
749	C₂×C₄×C₆₁	—	4	4	no	—
750	C₂×C₄×C₆₁	—	4	8	no	—
751	C₂×C₄×C₆₁	—	4	4	no	—
752	C₂×C₄×C₆₁	—	4	8	no	—
753	C₂×C₄×C₆₁	—	4	4	no	—
754	C₂×C₄×C₆₁	2₋¹⁺⁴	1	4	yes	—
755	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
756	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
757	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
758	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
759	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
760	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
761	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
762	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
763	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
764	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
765	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
766	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
767	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
768	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
769	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
770	C₂×C₄×C₆₁	C₂⁵	1	8	yes	—
771	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
772	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
773	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
774	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
775	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
776	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
777	#62956	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
778	C₂²×C₆₁	—	2	1	no	—
779	C₂²×C₆₁	—	2	1	no	—
780	C₂²×C₆₁	—	2	2	no	—
781	C₂²×C₆₁	—	2	2	no	—
782	C₂²×C₆₁	—	2	4	no	—
783	C₂²×C₆₁	—	2	2	no	—
784	C₂²×C₆₁	—	2	2	no	—
785	C₂²×C₆₁	—	2	4	no	—
786	C₂²×C₆₁	—	2	2	no	—
787	C₂²×C₆₁	—	2	4	no	—
788	C₂²×C₆₁	—	2	2	no	—
789	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	2	yes	—
790	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
791	C₄×C₆₁	—	2	4	no	—
792	C₄×C₆₁	—	2	2	no	—
793	C₄×C₆₁	—	2	2	no	—
794	C₄×C₆₁	—	2	4	no	—
795	C₄×C₆₁	—	2	2	no	—
796	C₄×C₆₁	—	2	2	no	—
797	C₄×C₆₁	—	2	1	no	—
798	C₄×C₆₁	—	2	2	no	—
799	C₄×C₆₁	—	2	8	no	—
800	C₄×C₆₁	—	2	2	no	—
801	C₄×C₆₁	—	2	4	no	—
802	C₄×C₆₁	—	2	2	no	—
803	C₄×C₆₁	—	2	1	no	—
804	C₄×C₆₁	—	2	4	no	—
805	C₄×C₆₁	—	2	2	no	—
806	C₄×C₆₁	—	2	4	no	—
807	C₄×C₆₁	—	2	1	no	—
808	C₄×C₆₁	—	2	2	no	—
809	C₄×C₆₁	—	2	2	no	—
810	C₄×C₆₁	C₂×2₋¹⁺⁴	1	2	yes	—
811	C₄×C₆₁	C₂×2₋¹⁺⁴	1	2	yes	—
812	C₄×C₆₁	#585	1	2	yes	—
813	#3565	C₂×C₆₁	1	4	yes	complemented
814	#3563	C₂×C₆₁	1	4	yes	complemented
815	#3557	C₂×C₆₁	1	4	yes	complemented
816	#3556	C₂×C₆₁	1	2	yes	complemented
817	#3555	C₂×C₆₁	1	2	yes	complemented
818	#3555	C₂×C₆₁	1	4	yes	complemented
819	#3554	C₂×C₆₁	1	2	yes	complemented
820	#3553	C₂×C₆₁	1	8	yes	complemented
821	#3552	C₂×C₆₁	1	2	yes	complemented
822	#3552	C₂×C₆₁	1	4	yes	complemented
823	#3523	C₂×C₆₁	1	2	yes	complemented
824	#3516	C₂×C₆₁	1	4	yes	complemented
825	#3515	C₂×C₆₁	1	2	yes	complemented
826	#3512	C₂×C₆₁	1	2	yes	complemented
827	#3511	C₂×C₆₁	1	1	yes	characteristic, complemented
828	#3509	C₂×C₆₁	1	2	yes	complemented
829	#3507	C₂×C₆₁	1	2	yes	complemented
830	#3507	C₂×C₆₁	1	1	yes	characteristic, complemented
831	#3507	C₂×C₆₁	1	2	yes	complemented
832	#3504	C₂×C₆₁	1	2	yes	complemented
833	#3503	C₂×C₆₁	1	1	yes	characteristic, complemented
834	#3480	C₂×C₆₁	1	1	yes	characteristic, complemented
835	Q₈×#41	C₂×C₆₁	1	1	yes	characteristic, complemented
836	C₂×#557	C₂×C₆₁	1	1	yes	characteristic, complemented
837	#3461	C₂×C₆₁	1	1	yes	characteristic, complemented
838	#3461	C₂×C₆₁	1	2	yes	complemented
839	C₂×C₆₁	—	2	2	no	—
840	C₂×C₆₁	—	4	2	no	—
841	C₂×C₆₁	—	4	2	no	—
842	C₂×C₆₁	—	4	4	no	—
843	C₂×C₆₁	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
844	C₂×C₆₁	C₂×#585	1	1	yes	characteristic
845	C₂×C₆₁	2₋¹⁺⁶	1	1	yes	characteristic
846	#564	C₂²×C₆₁	1	8	yes	—
847	#563	C₂²×C₆₁	1	8	yes	—
848	#563	C₂²×C₆₁	1	8	yes	—
849	#563	C₂²×C₆₁	1	8	yes	—
850	#563	C₂²×C₆₁	1	8	yes	—
851	#562	C₂²×C₆₁	1	8	yes	—
852	#559	C₂²×C₆₁	1	1	yes	characteristic
853	#559	C₂²×C₆₁	1	2	yes	—
854	#559	C₂²×C₆₁	1	2	yes	—
855	#559	C₂²×C₆₁	1	4	yes	—
856	Q₈²	C₂²×C₆₁	1	1	yes	characteristic
857	Q₈²	C₂²×C₆₁	1	2	yes	—
858	#557	C₂²×C₆₁	1	2	yes	—
859	#557	C₂²×C₆₁	1	2	yes	—
860	#557	C₂²×C₆₁	1	2	yes	—
861	#557	C₂²×C₆₁	1	2	yes	—
862	#557	C₂²×C₆₁	1	4	yes	—
863	#557	C₂²×C₆₁	1	4	yes	—
864	#557	C₂²×C₆₁	1	1	yes	characteristic
865	#557	C₂²×C₆₁	1	2	yes	—
866	#557	C₂²×C₆₁	1	1	yes	characteristic
867	#557	C₂²×C₆₁	1	2	yes	—
868	#557	C₂²×C₆₁	1	4	yes	—
869	#557	C₂²×C₆₁	1	4	yes	—
870	#557	C₂²×C₆₁	1	2	yes	—
871	#557	C₂²×C₆₁	1	4	yes	—
872	#557	C₂²×C₆₁	1	4	yes	—
873	#557	C₂²×C₆₁	1	4	yes	—
874	#556	C₂²×C₆₁	1	1	yes	characteristic
875	#556	C₂²×C₆₁	1	2	yes	—
876	#556	C₂²×C₆₁	1	4	yes	—
877	#556	C₂²×C₆₁	1	4	yes	—
878	#556	C₂²×C₆₁	1	2	yes	—
879	#556	C₂²×C₆₁	1	4	yes	—
880	#556	C₂²×C₆₁	1	4	yes	—
881	#556	C₂²×C₆₁	1	4	yes	—
882	#556	C₂²×C₆₁	1	4	yes	—
883	#556	C₂²×C₆₁	1	2	yes	—
884	#556	C₂²×C₆₁	1	8	yes	—
885	#555	C₂²×C₆₁	1	2	yes	—
886	#554	C₂²×C₆₁	1	1	yes	characteristic
887	#554	C₂²×C₆₁	1	2	yes	—
888	#554	C₂²×C₆₁	1	4	yes	—
889	#554	C₂²×C₆₁	1	2	yes	—
890	#554	C₂²×C₆₁	1	4	yes	—
891	#554	C₂²×C₆₁	1	2	yes	—
892	#554	C₂²×C₆₁	1	4	yes	—
893	#554	C₂²×C₆₁	1	8	yes	—
894	#554	C₂²×C₆₁	1	8	yes	—
895	#554	C₂²×C₆₁	1	4	yes	—
896	#554	C₂²×C₆₁	1	2	yes	—
897	#554	C₂²×C₆₁	1	4	yes	—
898	#554	C₂²×C₆₁	1	2	yes	—
899	#553	C₂²×C₆₁	1	2	yes	—
900	#553	C₂²×C₆₁	1	4	yes	—
901	#553	C₂²×C₆₁	1	4	yes	—
902	#553	C₂²×C₆₁	1	4	yes	—
903	#553	C₂²×C₆₁	1	8	yes	—
904	#553	C₂²×C₆₁	1	8	yes	—
905	#553	C₂²×C₆₁	1	4	yes	—
906	#552	C₂²×C₆₁	1	4	yes	—
907	#552	C₂²×C₆₁	1	4	yes	—
908	#552	C₂²×C₆₁	1	8	yes	—
909	#552	C₂²×C₆₁	1	4	yes	—
910	#552	C₂²×C₆₁	1	4	yes	—
911	#552	C₂²×C₆₁	1	8	yes	—
912	#552	C₂²×C₆₁	1	4	yes	—
913	#552	C₂²×C₆₁	1	4	yes	—
914	#552	C₂²×C₆₁	1	8	yes	—
915	#552	C₂²×C₆₁	1	8	yes	—
916	#552	C₂²×C₆₁	1	8	yes	—
917	#550	C₂²×C₆₁	1	1	yes	characteristic
918	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
919	D₄×Q₈	C₂²×C₆₁	1	2	yes	—
920	D₄×Q₈	C₂²×C₆₁	1	4	yes	—
921	D₄×Q₈	C₂²×C₆₁	1	2	yes	—
922	D₄×Q₈	C₂²×C₆₁	1	4	yes	—
923	#548	C₂²×C₆₁	1	2	yes	—
924	#548	C₂²×C₆₁	1	4	yes	—
925	#548	C₂²×C₆₁	1	4	yes	—
926	#547	C₂²×C₆₁	1	2	yes	—
927	#547	C₂²×C₆₁	1	4	yes	—
928	#544	C₂²×C₆₁	1	2	yes	—
929	#544	C₂²×C₆₁	1	1	yes	characteristic
930	#544	C₂²×C₆₁	1	4	yes	—
931	#544	C₂²×C₆₁	1	4	yes	—
932	#544	C₂²×C₆₁	1	4	yes	—
933	#544	C₂²×C₆₁	1	8	yes	—
934	#542	C₂²×C₆₁	1	4	yes	—
935	#542	C₂²×C₆₁	1	4	yes	—
936	#542	C₂²×C₆₁	1	2	yes	—
937	#542	C₂²×C₆₁	1	2	yes	—
938	#542	C₂²×C₆₁	1	4	yes	—
939	#542	C₂²×C₆₁	1	4	yes	—
940	#542	C₂²×C₆₁	1	8	yes	—
941	#542	C₂²×C₆₁	1	8	yes	—
942	#541	C₂²×C₆₁	1	2	yes	—
943	#541	C₂²×C₆₁	1	4	yes	—
944	#541	C₂²×C₆₁	1	4	yes	—
945	#541	C₂²×C₆₁	1	2	yes	—
946	#541	C₂²×C₆₁	1	8	yes	—
947	#541	C₂²×C₆₁	1	4	yes	—
948	#541	C₂²×C₆₁	1	4	yes	—
949	#541	C₂²×C₆₁	1	4	yes	—
950	#541	C₂²×C₆₁	1	8	yes	—
951	#541	C₂²×C₆₁	1	4	yes	—
952	#541	C₂²×C₆₁	1	8	yes	—
953	#541	C₂²×C₆₁	1	8	yes	—
954	#541	C₂²×C₆₁	1	8	yes	—
955	#540	C₂²×C₆₁	1	4	yes	—
956	#539	C₂²×C₆₁	1	8	yes	—
957	#539	C₂²×C₆₁	1	4	yes	—
958	#539	C₂²×C₆₁	1	8	yes	—
959	#539	C₂²×C₆₁	1	4	yes	—
960	#539	C₂²×C₆₁	1	8	yes	—
961	#539	C₂²×C₆₁	1	8	yes	—
962	#539	C₂²×C₆₁	1	8	yes	—
963	#539	C₂²×C₆₁	1	8	yes	—
964	#537	C₂²×C₆₁	1	2	yes	—
965	#537	C₂²×C₆₁	1	1	yes	characteristic
966	#536	C₂²×C₆₁	1	1	yes	characteristic
967	#536	C₂²×C₆₁	1	1	yes	characteristic
968	#536	C₂²×C₆₁	1	2	yes	—
969	#536	C₂²×C₆₁	1	4	yes	—
970	#536	C₂²×C₆₁	1	4	yes	—
971	#533	C₂²×C₆₁	1	2	yes	—
972	#533	C₂²×C₆₁	1	2	yes	—
973	#533	C₂²×C₆₁	1	4	yes	—
974	#533	C₂²×C₆₁	1	4	yes	—
975	#533	C₂²×C₆₁	1	1	yes	characteristic
976	#533	C₂²×C₆₁	1	2	yes	—
977	#533	C₂²×C₆₁	1	2	yes	—
978	#533	C₂²×C₆₁	1	4	yes	—
979	#533	C₂²×C₆₁	1	2	yes	—
980	#533	C₂²×C₆₁	1	4	yes	—
981	#533	C₂²×C₆₁	1	2	yes	—
982	#532	C₂²×C₆₁	1	1	yes	characteristic
983	#532	C₂²×C₆₁	1	2	yes	—
984	#532	C₂²×C₆₁	1	2	yes	—
985	C₂×C₄⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
986	C₂×C₄⋊Q₈	C₂²×C₆₁	1	2	yes	—
987	C₂×C₄⋊Q₈	C₂²×C₆₁	1	2	yes	—
988	#529	C₂²×C₆₁	1	4	yes	—
989	#529	C₂²×C₆₁	1	2	yes	—
990	#529	C₂²×C₆₁	1	4	yes	—
991	#529	C₂²×C₆₁	1	4	yes	—
992	#529	C₂²×C₆₁	1	8	yes	—
993	#529	C₂²×C₆₁	1	2	yes	—
994	#529	C₂²×C₆₁	1	2	yes	—
995	#529	C₂²×C₆₁	1	4	yes	—
996	#529	C₂²×C₆₁	1	4	yes	—
997	#529	C₂²×C₆₁	1	4	yes	—
998	#529	C₂²×C₆₁	1	8	yes	—
999	#529	C₂²×C₆₁	1	4	yes	—
1000	C₂×#125	C₂²×C₆₁	1	2	yes	—
1001	C₂×#125	C₂²×C₆₁	1	4	yes	—
1002	C₂×#125	C₂²×C₆₁	1	4	yes	—
1003	#520	C₂²×C₆₁	1	2	yes	—
1004	#520	C₂²×C₆₁	1	2	yes	—
1005	#520	C₂²×C₆₁	1	2	yes	—
1006	#520	C₂²×C₆₁	1	4	yes	—
1007	#519	C₂²×C₆₁	1	4	yes	—
1008	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
1009	C₄×#41	C₂²×C₆₁	1	2	yes	—
1010	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
1011	C₄×#41	C₂²×C₆₁	1	2	yes	—
1012	C₄×#41	C₂²×C₆₁	1	2	yes	—
1013	C₂×C₄×Q₈	C₂²×C₆₁	1	2	yes	—
1014	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
1015	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
1016	C₂×C₄×Q₈	C₂²×C₆₁	1	2	yes	—
1017	C₂×C₄×Q₈	C₂²×C₆₁	1	2	yes	—
1018	C₆₁	#62956	1	1	yes	characteristic, direct product factor, Sylow
1019	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1020	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1021	C₂×#41	C₂³×C₆₁	1	2	yes	—
1022	C₂×#41	C₂³×C₆₁	1	2	yes	—
1023	C₂×#41	C₂³×C₆₁	1	4	yes	—
1024	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1025	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1026	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
1027	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
1028	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
1029	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1030	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1031	C₄⋊Q₈	C₂³×C₆₁	1	2	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	2	yes	—
1040	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1041	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1042	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1043	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1044	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1045	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1046	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1047	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1048	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1049	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1050	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1051	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1052	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1053	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1054	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1055	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1056	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1057	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1058	#127	C₂³×C₆₁	1	1	yes	characteristic
1059	#127	C₂³×C₆₁	1	2	yes	—
1060	#126	C₂³×C₆₁	1	4	yes	—
1061	#126	C₂³×C₆₁	1	8	yes	—
1062	#126	C₂³×C₆₁	1	8	yes	—
1063	#126	C₂³×C₆₁	1	8	yes	—
1064	#126	C₂³×C₆₁	1	8	yes	—
1065	#126	C₂³×C₆₁	1	4	yes	—
1066	#126	C₂³×C₆₁	1	8	yes	—
1067	#126	C₂³×C₆₁	1	8	yes	—
1068	#126	C₂³×C₆₁	1	4	yes	—
1069	#126	C₂³×C₆₁	1	8	yes	—
1070	#126	C₂³×C₆₁	1	8	yes	—
1071	#126	C₂³×C₆₁	1	4	yes	—
1072	#126	C₂³×C₆₁	1	4	yes	—
1073	#126	C₂³×C₆₁	1	4	yes	—
1074	#126	C₂³×C₆₁	1	8	yes	—
1075	#126	C₂³×C₆₁	1	4	yes	—
1076	#126	C₂³×C₆₁	1	8	yes	—
1077	#126	C₂³×C₆₁	1	8	yes	—
1078	#126	C₂³×C₆₁	1	8	yes	—
1079	#126	C₂³×C₆₁	1	8	yes	—
1080	#126	C₂³×C₆₁	1	8	yes	—
1081	#126	C₂³×C₆₁	1	8	yes	—
1082	#125	C₂³×C₆₁	1	2	yes	—
1083	#125	C₂³×C₆₁	1	2	yes	—
1084	#125	C₂³×C₆₁	1	4	yes	—
1085	#125	C₂³×C₆₁	1	4	yes	—
1086	#125	C₂³×C₆₁	1	4	yes	—
1087	#125	C₂³×C₆₁	1	8	yes	—
1088	#125	C₂³×C₆₁	1	8	yes	—
1089	#125	C₂³×C₆₁	1	8	yes	—
1090	#125	C₂³×C₆₁	1	8	yes	—
1091	#125	C₂³×C₆₁	1	8	yes	—
1092	#125	C₂³×C₆₁	1	4	yes	—
1093	#125	C₂³×C₆₁	1	8	yes	—
1094	#125	C₂³×C₆₁	1	4	yes	—
1095	#125	C₂³×C₆₁	1	4	yes	—
1096	#125	C₂³×C₆₁	1	4	yes	—
1097	#125	C₂³×C₆₁	1	8	yes	—
1098	#125	C₂³×C₆₁	1	2	yes	—
1099	#125	C₂³×C₆₁	1	4	yes	—
1100	#125	C₂³×C₆₁	1	8	yes	—
1101	#125	C₂³×C₆₁	1	2	yes	—
1102	#125	C₂³×C₆₁	1	4	yes	—
1103	#125	C₂³×C₆₁	1	2	yes	—
1104	#125	C₂³×C₆₁	1	4	yes	—
1105	#125	C₂³×C₆₁	1	4	yes	—
1106	#125	C₂³×C₆₁	1	8	yes	—
1107	#125	C₂³×C₆₁	1	4	yes	—
1108	#125	C₂³×C₆₁	1	8	yes	—
1109	#125	C₂³×C₆₁	1	4	yes	—
1110	#125	C₂³×C₆₁	1	4	yes	—
1111	#125	C₂³×C₆₁	1	4	yes	—
1112	#125	C₂³×C₆₁	1	2	yes	—
1113	#125	C₂³×C₆₁	1	8	yes	—
1114	#125	C₂³×C₆₁	1	8	yes	—
1115	#125	C₂³×C₆₁	1	8	yes	—
1116	#125	C₂³×C₆₁	1	8	yes	—
1117	#125	C₂³×C₆₁	1	8	yes	—
1118	#125	C₂³×C₆₁	1	8	yes	—
1119	#125	C₂³×C₆₁	1	8	yes	—
1120	#125	C₂³×C₆₁	1	8	yes	—
1121	#124	C₂³×C₆₁	1	2	yes	—
1122	#124	C₂³×C₆₁	1	2	yes	—
1123	#124	C₂³×C₆₁	1	2	yes	—
1124	#124	C₂³×C₆₁	1	2	yes	—
1125	#124	C₂³×C₆₁	1	4	yes	—
1126	#124	C₂³×C₆₁	1	2	yes	—
1127	#124	C₂³×C₆₁	1	4	yes	—
1128	#124	C₂³×C₆₁	1	4	yes	—
1129	#124	C₂³×C₆₁	1	8	yes	—
1130	#124	C₂³×C₆₁	1	4	yes	—
1131	#124	C₂³×C₆₁	1	8	yes	—
1132	#124	C₂³×C₆₁	1	4	yes	—
1133	#124	C₂³×C₆₁	1	2	yes	—
1134	#124	C₂³×C₆₁	1	8	yes	—
1135	#123	C₂³×C₆₁	1	4	yes	—
1136	#123	C₂³×C₆₁	1	4	yes	—
1137	#123	C₂³×C₆₁	1	8	yes	—
1138	#123	C₂³×C₆₁	1	8	yes	—
1139	#123	C₂³×C₆₁	1	8	yes	—
1140	#123	C₂³×C₆₁	1	4	yes	—
1141	#123	C₂³×C₆₁	1	4	yes	—
1142	#123	C₂³×C₆₁	1	4	yes	—
1143	#123	C₂³×C₆₁	1	8	yes	—
1144	#123	C₂³×C₆₁	1	8	yes	—
1145	#123	C₂³×C₆₁	1	4	yes	—
1146	#123	C₂³×C₆₁	1	4	yes	—
1147	#123	C₂³×C₆₁	1	8	yes	—
1148	#123	C₂³×C₆₁	1	8	yes	—
1149	#123	C₂³×C₆₁	1	8	yes	—
1150	#123	C₂³×C₆₁	1	8	yes	—
1151	#123	C₂³×C₆₁	1	8	yes	—
1152	#123	C₂³×C₆₁	1	8	yes	—
1153	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1154	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1155	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1156	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1157	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1158	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1159	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1160	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1161	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1162	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1163	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1164	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1165	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1166	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1167	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1168	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1169	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1170	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1171	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1172	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1173	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1174	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1175	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1176	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1177	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1178	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1179	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1180	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1181	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1182	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1183	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1184	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1185	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1186	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1187	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1188	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1189	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1190	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1191	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1192	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1193	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1194	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1195	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1196	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1197	#121	C₂³×C₆₁	1	2	yes	—
1198	#121	C₂³×C₆₁	1	4	yes	—
1199	#121	C₂³×C₆₁	1	2	yes	—
1200	#121	C₂³×C₆₁	1	4	yes	—
1201	#121	C₂³×C₆₁	1	8	yes	—
1202	#121	C₂³×C₆₁	1	4	yes	—
1203	#121	C₂³×C₆₁	1	4	yes	—
1204	#121	C₂³×C₆₁	1	2	yes	—
1205	#121	C₂³×C₆₁	1	4	yes	—
1206	#121	C₂³×C₆₁	1	2	yes	—
1207	#121	C₂³×C₆₁	1	4	yes	—
1208	#121	C₂³×C₆₁	1	2	yes	—
1209	#121	C₂³×C₆₁	1	4	yes	—
1210	#121	C₂³×C₆₁	1	8	yes	—
1211	#121	C₂³×C₆₁	1	8	yes	—
1212	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1213	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1214	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1215	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1216	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1217	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1218	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1219	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1220	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1221	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1222	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1223	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1224	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1225	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1226	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1227	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1228	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1229	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1230	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1231	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1232	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1233	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1234	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1235	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1236	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1237	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1238	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1239	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1240	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1241	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1242	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1243	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1244	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1245	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1246	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1247	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1248	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1249	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1250	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1251	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1252	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1253	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1254	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1255	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1256	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1257	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1258	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1260	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1261	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1262	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1263	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1264	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1265	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1266	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1267	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1268	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1269	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1270	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1271	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1272	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1273	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1274	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1275	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1276	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1277	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1278	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1279	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1280	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1281	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1282	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1283	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1284	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1285	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1286	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1287	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1288	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1289	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1290	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1291	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1292	#117	C₂³×C₆₁	1	1	yes	characteristic
1293	#117	C₂³×C₆₁	1	2	yes	—
1294	#117	C₂³×C₆₁	1	1	yes	characteristic
1295	#117	C₂³×C₆₁	1	2	yes	—
1296	#117	C₂³×C₆₁	1	2	yes	—
1297	#117	C₂³×C₆₁	1	4	yes	—
1298	#117	C₂³×C₆₁	1	4	yes	—
1299	#117	C₂³×C₆₁	1	2	yes	—
1300	#117	C₂³×C₆₁	1	4	yes	—
1301	#117	C₂³×C₆₁	1	4	yes	—
1302	#117	C₂³×C₆₁	1	8	yes	—
1303	#117	C₂³×C₆₁	1	8	yes	—
1304	#117	C₂³×C₆₁	1	4	yes	—
1305	#117	C₂³×C₆₁	1	8	yes	—
1306	#117	C₂³×C₆₁	1	4	yes	—
1307	#117	C₂³×C₆₁	1	4	yes	—
1308	#117	C₂³×C₆₁	1	4	yes	—
1309	#117	C₂³×C₆₁	1	8	yes	—
1310	#117	C₂³×C₆₁	1	8	yes	—
1311	#117	C₂³×C₆₁	1	8	yes	—
1312	#117	C₂³×C₆₁	1	8	yes	—
1313	#117	C₂³×C₆₁	1	4	yes	—
1314	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1315	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1316	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1317	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1318	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1319	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1320	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1321	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1322	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1323	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1324	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1325	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1326	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1327	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1328	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1329	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1330	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1331	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1332	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1333	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1334	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1335	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1336	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1337	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1338	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1339	#41	—	2	4	no	—
1340	#41	—	2	4	no	—
1341	#41	—	2	8	no	—
1342	#41	—	4	4	no	—
1343	#41	—	4	8	no	—
1344	C₂×Q₈	—	2	4	no	—
1345	C₂×Q₈	—	4	2	no	—
1346	C₂×Q₈	—	4	4	no	—
1347	C₂×Q₈	—	4	8	no	—
1348	C₂×Q₈	—	4	4	no	—
1349	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1350	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1351	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1352	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1353	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1355	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1356	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1357	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1358	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1359	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1360	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1361	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1362	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1363	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1364	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1365	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1366	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1367	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1368	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1369	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1370	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1371	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1372	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1373	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1374	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1375	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1376	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1377	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1378	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1379	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1380	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1381	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1382	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1383	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1384	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1385	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1386	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1387	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1388	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1389	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1390	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1391	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1392	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1393	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1394	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1395	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1396	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1397	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1398	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1399	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1400	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1401	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1402	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1403	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1404	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1405	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1406	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1407	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1408	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1409	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1410	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1411	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1412	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1413	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1414	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1415	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1416	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1417	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1418	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1419	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1420	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1421	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1422	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1423	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1424	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1425	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1426	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1427	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1428	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1429	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1430	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1431	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1432	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1433	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1434	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1435	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1436	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1437	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1438	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1439	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1440	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1441	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1442	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1443	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1444	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1445	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1446	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1447	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1448	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1449	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1450	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1451	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1452	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1453	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1454	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1455	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1456	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1457	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1458	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1459	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1460	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1461	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1462	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1463	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1464	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1465	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1466	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1467	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1468	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1469	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1470	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1471	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1472	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1473	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1474	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1475	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1476	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1477	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1478	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1479	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1480	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1481	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1482	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1483	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1484	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1485	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1486	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1487	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1488	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1489	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1490	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1491	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1492	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1493	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1494	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1495	C₄²	C₂⁴×C₆₁	1	2	yes	—
1496	C₄²	C₂⁴×C₆₁	1	2	yes	—
1497	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1498	C₄²	C₂⁴×C₆₁	1	2	yes	—
1499	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1500	C₄²	C₂⁴×C₆₁	1	8	yes	—
1501	C₄²	C₂⁴×C₆₁	1	4	yes	—
1502	C₄²	C₂⁴×C₆₁	1	4	yes	—
1503	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1504	C₄²	C₂⁴×C₆₁	1	2	yes	—
1505	C₄²	C₂⁴×C₆₁	1	4	yes	—
1506	C₄²	C₂⁴×C₆₁	1	2	yes	—
1507	C₄²	C₂⁴×C₆₁	1	2	yes	—
1508	C₄²	C₂⁴×C₆₁	1	4	yes	—
1509	C₄²	C₂⁴×C₆₁	1	2	yes	—
1510	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1511	C₄²	C₂⁴×C₆₁	1	2	yes	—
1512	C₄²	C₂⁴×C₆₁	1	4	yes	—
1513	C₄²	C₂⁴×C₆₁	1	2	yes	—
1514	C₄²	C₂⁴×C₆₁	1	4	yes	—
1515	C₄²	C₂⁴×C₆₁	1	2	yes	—
1516	C₄²	C₂⁴×C₆₁	1	4	yes	—
1517	C₄²	C₂⁴×C₆₁	1	8	yes	—
1518	C₄²	C₂⁴×C₆₁	1	8	yes	—
1519	C₄²	C₂⁴×C₆₁	1	8	yes	—
1520	C₄²	C₂⁴×C₆₁	1	8	yes	—
1521	C₂³	C₂⁵×C₆₁	1	2	yes	—
1522	C₂³	C₂⁵×C₆₁	1	2	yes	—
1523	C₂³	C₂⁵×C₆₁	1	4	yes	—
1524	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1525	Q₈	—	2	4	no	—
1526	Q₈	—	2	4	no	—
1527	Q₈	—	2	2	no	—
1528	Q₈	—	2	4	no	—
1529	Q₈	—	2	2	no	—
1530	Q₈	—	2	2	no	—
1531	Q₈	—	2	4	no	—
1532	Q₈	—	2	8	no	—
1533	Q₈	—	2	2	no	—
1534	Q₈	—	4	4	no	—
1535	Q₈	—	4	8	no	—
1536	Q₈	—	4	2	no	—
1537	Q₈	—	4	4	no	—
1538	Q₈	—	4	4	no	—
1539	Q₈	—	4	2	no	—
1540	Q₈	—	4	4	no	—
1541	D₄	—	2	4	no	—
1542	D₄	—	2	4	no	—
1543	D₄	—	2	8	no	—
1544	D₄	—	2	2	no	—
1545	D₄	—	2	2	no	—
1546	D₄	—	2	4	no	—
1547	D₄	—	2	4	no	—
1548	D₄	—	4	2	no	—
1549	D₄	—	4	4	no	—
1550	D₄	—	4	4	no	—
1551	D₄	—	4	4	no	—
1552	D₄	—	4	8	no	—
1553	C₂×C₄	—	2	4	no	—
1554	C₂×C₄	—	2	8	no	—
1555	C₂×C₄	—	2	4	no	—
1556	C₂×C₄	—	2	4	no	—
1557	C₂×C₄	—	2	2	no	—
1558	C₂×C₄	—	2	4	no	—
1559	C₂×C₄	—	2	4	no	—
1560	C₂×C₄	—	4	4	no	—
1561	C₂×C₄	—	4	4	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	4	1	no	—
1564	C₂×C₄	—	4	2	no	—
1565	C₂×C₄	—	4	2	no	—
1566	C₂×C₄	—	4	8	no	—
1567	C₂×C₄	—	4	2	no	—
1568	C₂×C₄	—	4	2	no	—
1569	C₂×C₄	—	4	4	no	—
1570	C₂×C₄	—	4	8	no	—
1571	C₂×C₄	—	4	4	no	—
1572	C₂×C₄	—	4	8	no	—
1573	C₂×C₄	—	4	4	no	—
1574	C₂×C₄	2₋¹⁺⁴×C₆₁	1	4	yes	—
1575	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1576	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1577	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1578	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1579	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1580	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1581	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1582	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1583	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1584	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1585	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1586	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1587	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1588	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1589	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1590	C₂×C₄	C₂⁵×C₆₁	1	8	yes	—
1591	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1592	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1593	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1594	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1595	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1596	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	2	no	—
1600	C₂²	—	2	2	no	—
1601	C₂²	—	2	4	no	—
1602	C₂²	—	2	2	no	—
1603	C₂²	—	2	2	no	—
1604	C₂²	—	2	4	no	—
1605	C₂²	—	2	2	no	—
1606	C₂²	—	2	4	no	—
1607	C₂²	—	2	2	no	—
1608	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	2	yes	—
1609	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
1610	C₄	—	2	4	no	—
1611	C₄	—	2	2	no	—
1612	C₄	—	2	2	no	—
1613	C₄	—	2	4	no	—
1614	C₄	—	2	2	no	—
1615	C₄	—	2	2	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	2	no	—
1618	C₄	—	2	8	no	—
1619	C₄	—	2	2	no	—
1620	C₄	—	2	4	no	—
1621	C₄	—	2	2	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	4	no	—
1624	C₄	—	2	2	no	—
1625	C₄	—	2	4	no	—
1626	C₄	—	2	1	no	—
1627	C₄	—	2	2	no	—
1628	C₄	—	2	2	no	—
1629	C₄	C₂×2₋¹⁺⁴×C₆₁	1	2	yes	—
1630	C₄	C₂×2₋¹⁺⁴×C₆₁	1	2	yes	—
1631	C₄	C₆₁×#585	1	2	yes	—
1632	C₂	—	2	2	no	—
1633	C₂	—	4	2	no	—
1634	C₂	—	4	2	no	—
1635	C₂	—	4	4	no	—
1636	C₂	C₂²×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1637	C₂	C₂×C₆₁×#585	1	1	yes	characteristic
1638	C₂	C₆₁×2₋¹⁺⁶	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×#3563	C₂	semidirect
3. C₆₁×#3557	C₂	semidirect
4. C₆₁×#3556	C₂	semidirect
5. C₆₁×#3555	C₂	semidirect
6. C₆₁×#3555	C₂	semidirect
7. C₆₁×#3554	C₂	semidirect
8. C₆₁×#3553	C₂	semidirect
9. C₆₁×#3552	C₂	semidirect
10. C₆₁×#3552	C₂	semidirect
11. C₆₁×#3523	C₂	semidirect
12. C₆₁×#3516	C₂	semidirect
13. C₆₁×#3515	C₂	semidirect
14. C₆₁×#3512	C₂	semidirect
15. C₆₁×#3511	C₂	semidirect
16. C₆₁×#3509	C₂	semidirect
17. C₆₁×#3507	C₂	semidirect
18. C₆₁×#3507	C₂	semidirect
19. C₆₁×#3507	C₂	semidirect
20. C₆₁×#3504	C₂	semidirect
21. C₆₁×#3503	C₂	semidirect
22. C₆₁×#3480	C₂	semidirect
23. Q₈×#41×C₆₁	C₂	semidirect
24. C₂×C₆₁×#557	C₂	semidirect
25. C₆₁×#3461	C₂	semidirect
26. C₆₁×#3461	C₂	semidirect
777. #62956	C₆₁	direct (N × H)
813. #3565	C₂×C₆₁	semidirect
814. #3563	C₂×C₆₁	semidirect
815. #3557	C₂×C₆₁	semidirect
816. #3556	C₂×C₆₁	semidirect
817. #3555	C₂×C₆₁	semidirect
818. #3555	C₂×C₆₁	semidirect
819. #3554	C₂×C₆₁	semidirect
820. #3553	C₂×C₆₁	semidirect
821. #3552	C₂×C₆₁	semidirect
822. #3552	C₂×C₆₁	semidirect
823. #3523	C₂×C₆₁	semidirect
824. #3516	C₂×C₆₁	semidirect
825. #3515	C₂×C₆₁	semidirect
826. #3512	C₂×C₆₁	semidirect
827. #3511	C₂×C₆₁	semidirect
828. #3509	C₂×C₆₁	semidirect
829. #3507	C₂×C₆₁	semidirect
830. #3507	C₂×C₆₁	semidirect
831. #3507	C₂×C₆₁	semidirect
832. #3504	C₂×C₆₁	semidirect
833. #3503	C₂×C₆₁	semidirect
834. #3480	C₂×C₆₁	semidirect
835. Q₈×#41	C₂×C₆₁	semidirect
836. C₂×#557	C₂×C₆₁	semidirect
837. #3461	C₂×C₆₁	semidirect
838. #3461	C₂×C₆₁	semidirect
1018. C₆₁	#62956	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×#3563	2
C₆₁×#3557	2
C₆₁×#3556	2
C₆₁×#3555	2
C₆₁×#3554	2
C₆₁×#3553	2
C₆₁×#3552	2
C₆₁×#3523	2
C₆₁×#3516	2
C₆₁×#3515	2
C₆₁×#3512	2
C₆₁×#3511	2
C₆₁×#3509	2
C₆₁×#3507	2
C₆₁×#3504	2
C₆₁×#3503	2
C₆₁×#3480	2
Q₈×#41×C₆₁	2
C₂×C₆₁×#557	2
C₆₁×#3461	2
#62956	61

Subgroups — C61×#62956 #29566389

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62956 #29566389