Subgroups — C₆₁×#61790 #29565223

Order 15616.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3512	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3355	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3352	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3351	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3351	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3339	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3337	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3336	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3327	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3326	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3322	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3297	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3296	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3232	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3232	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3203	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3201	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3198	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3099	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#3098	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#3097	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#3096	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2979	C₂	1	1	yes	maximal, characteristic, complemented
32	C₆₁×#563	—	2	1	no	—
33	C₆₁×#560	—	2	1	no	—
34	C₆₁×#555	—	2	1	no	—
35	C₆₁×#553	—	2	1	no	—
36	C₆₁×#553	—	2	1	no	—
37	C₆₁×#553	—	2	1	no	—
38	C₆₁×#553	—	2	1	no	—
39	C₆₁×#553	C₂²	1	1	yes	characteristic
40	C₆₁×#553	C₂²	1	1	yes	characteristic
41	C₆₁×#553	C₂²	1	1	yes	characteristic
42	C₆₁×#553	C₂²	1	1	yes	characteristic
43	C₆₁×#553	C₂²	1	1	yes	characteristic, complemented
44	C₆₁×#553	C₂²	1	1	yes	characteristic, complemented
45	C₆₁×#552	C₂²	1	1	yes	characteristic
46	C₆₁×#552	C₂²	1	1	yes	characteristic
47	C₆₁×#552	C₂²	1	1	yes	characteristic
48	C₆₁×#552	C₂²	1	1	yes	characteristic
49	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
50	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
51	C₆₁×#551	—	2	1	no	—
52	C₆₁×#548	C₂²	1	1	yes	characteristic
53	C₆₁×#548	C₂²	1	1	yes	characteristic
54	C₆₁×#546	C₂²	1	1	yes	characteristic
55	C₆₁×#546	C₂²	1	1	yes	characteristic
56	C₆₁×#541	—	2	1	no	—
57	C₆₁×#540	—	2	1	no	—
58	C₆₁×#540	—	2	1	no	—
59	C₆₁×#540	—	2	1	no	—
60	C₆₁×#538	—	2	1	no	—
61	C₆₁×#538	—	2	1	no	—
62	C₆₁×#537	C₂²	1	1	yes	characteristic
63	C₆₁×#537	C₂²	1	1	yes	characteristic
64	C₆₁×#537	C₂²	1	1	yes	characteristic
65	C₆₁×#537	C₂²	1	1	yes	characteristic, complemented
66	C₆₁×#536	C₂²	1	1	yes	characteristic
67	C₆₁×#535	C₂²	1	1	yes	characteristic
68	C₆₁×#532	C₂²	1	1	yes	characteristic
69	C₆₁×#529	—	2	1	no	—
70	C₆₁×#529	—	2	1	no	—
71	C₆₁×#529	C₂²	1	1	yes	characteristic
72	C₆₁×#529	C₂²	1	1	yes	characteristic
73	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic, complemented
74	C₆₁×#520	C₂²	1	1	yes	characteristic
75	C₆₁×#520	C₂²	1	1	yes	characteristic, complemented
76	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
77	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
78	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
79	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
80	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
81	C₆₁×#488	C₂²	1	1	yes	characteristic
82	C₆₁×#488	C₂²	1	1	yes	characteristic
83	C₆₁×#488	C₂²	1	1	yes	characteristic
84	C₆₁×#488	C₂²	1	1	yes	characteristic
85	C₆₁×#485	C₂²	1	1	yes	characteristic
86	C₆₁×#485	C₂²	1	1	yes	characteristic
87	C₆₁×#485	C₂²	1	1	yes	characteristic
88	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
89	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
90	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
91	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
92	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
93	C₆₁×#484	C₂²	1	1	yes	characteristic
94	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
95	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
96	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
97	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
98	C₆₁×#483	C₂²	1	1	yes	characteristic
99	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
100	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
101	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
102	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
103	C₆₁×#482	C₂²	1	1	yes	characteristic
104	C₆₁×#482	C₂²	1	1	yes	characteristic
105	C₆₁×#482	C₂²	1	1	yes	characteristic
106	C₆₁×#482	C₂²	1	1	yes	characteristic
107	C₆₁×#482	C₂²	1	1	yes	characteristic
108	C₆₁×#482	C₂²	1	1	yes	characteristic
109	C₆₁×#482	C₂²	1	1	yes	characteristic
110	C₆₁×#482	C₂²	1	1	yes	characteristic, complemented
111	C₆₁×#481	C₂²	1	1	yes	characteristic
112	C₆₁×#481	C₂²	1	1	yes	characteristic
113	C₆₁×#481	C₂²	1	1	yes	characteristic
114	C₆₁×#481	C₂²	1	1	yes	characteristic
115	C₆₁×#481	C₂²	1	1	yes	characteristic, complemented
116	C₆₁×#480	C₂²	1	1	yes	characteristic
117	C₆₁×#480	C₂²	1	1	yes	characteristic
118	C₆₁×#480	C₂²	1	1	yes	characteristic
119	C₆₁×#480	C₂²	1	1	yes	characteristic
120	C₆₁×#480	C₂²	1	1	yes	characteristic, complemented
121	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
122	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
123	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
124	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
125	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
126	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
127	C₆₁×#478	C₂²	1	1	yes	characteristic
128	C₆₁×#478	C₂²	1	1	yes	characteristic
129	C₆₁×#478	C₂²	1	1	yes	characteristic
130	C₆₁×#478	C₂²	1	1	yes	characteristic
131	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
132	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
133	C₆₁×#470	C₂²	1	1	yes	characteristic
134	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
135	C₆₁×#469	C₂²	1	1	yes	characteristic
136	C₆₁×#469	C₂²	1	1	yes	characteristic
137	C₆₁×#468	C₂²	1	1	yes	characteristic
138	C₆₁×#468	C₂²	1	1	yes	characteristic
139	C₆₁×#468	C₂²	1	1	yes	characteristic
140	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
141	C₆₁×#467	C₂²	1	1	yes	characteristic
142	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
143	C₆₁×#466	C₂²	1	1	yes	characteristic
144	C₆₁×#466	C₂²	1	1	yes	characteristic
145	C₆₁×#465	C₂²	1	1	yes	characteristic
146	C₆₁×#465	C₂²	1	1	yes	characteristic
147	C₆₁×#465	C₂²	1	1	yes	characteristic
148	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
149	C₆₁×#464	C₂²	1	1	yes	characteristic
150	C₆₁×#464	C₂²	1	1	yes	characteristic
151	C₆₁×#463	C₂²	1	1	yes	characteristic
152	C₆₁×#463	C₂²	1	1	yes	characteristic
153	C₆₁×#452	C₂²	1	1	yes	characteristic
154	C₆₁×#452	C₂²	1	1	yes	characteristic
155	C₆₁×#452	C₂²	1	1	yes	characteristic, complemented
156	C₆₁×#452	C₂²	1	1	yes	characteristic, complemented
157	C₆₁×#451	C₂²	1	1	yes	characteristic, complemented
158	C₆₁×#450	C₂²	1	1	yes	characteristic
159	C₆₁×#449	C₂²	1	1	yes	characteristic
160	C₆₁×#449	C₂²	1	1	yes	characteristic
161	C₆₁×#449	C₂²	1	1	yes	characteristic
162	C₆₁×#449	C₂²	1	1	yes	characteristic
163	C₆₁×#448	C₂²	1	1	yes	characteristic, complemented
164	C₆₁×#447	C₂²	1	1	yes	characteristic
165	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
166	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
167	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
168	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
169	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
170	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
172	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
173	C₆₁×#436	C₂²	1	1	yes	characteristic
174	C₆₁×#436	C₂²	1	1	yes	characteristic
175	C₆₁×#436	C₂²	1	1	yes	characteristic, complemented
176	C₆₁×#436	C₂²	1	1	yes	characteristic, complemented
177	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
178	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
179	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
180	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
181	C₆₁×#431	C₂²	1	1	yes	characteristic, complemented
182	C₆₁×#431	C₂²	1	1	yes	characteristic, complemented
183	C₆₁×#428	C₂²	1	1	yes	characteristic
184	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
185	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
186	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
187	C₆₁×#427	C₂²	1	1	yes	characteristic
188	C₆₁×#427	C₂²	1	1	yes	characteristic, complemented
189	C₂×#107×C₆₁	C₂²	1	1	yes	characteristic, complemented
190	C₂×#106×C₆₁	C₂²	1	1	yes	characteristic, complemented
191	C₆₁×#419	C₂²	1	1	yes	characteristic, complemented
192	C₆₁×#418	C₂²	1	1	yes	characteristic
193	C₆₁×#417	C₂²	1	1	yes	characteristic
194	C₆₁×#417	C₂²	1	1	yes	characteristic
195	C₆₁×#416	C₂²	1	1	yes	characteristic
196	C₆₁×#416	C₂²	1	1	yes	characteristic
197	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic, complemented
198	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
199	C₆₁×#408	C₂²	1	1	yes	characteristic
200	C₆₁×#408	C₂²	1	1	yes	characteristic
201	C₆₁×#408	C₂²	1	1	yes	characteristic, complemented
202	C₆₁×#408	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
206	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
212	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
216	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
217	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
220	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
221	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
226	C₄⋊Q₈×C₆₁	—	2	1	no	—
227	C₄⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
228	#127×C₆₁	—	2	1	no	—
229	#127×C₆₁	D₄	1	1	yes	characteristic
230	#126×C₆₁	—	2	1	no	—
231	#126×C₆₁	—	2	1	no	—
232	#126×C₆₁	—	2	1	no	—
233	#126×C₆₁	—	2	1	no	—
234	#126×C₆₁	—	2	1	no	—
235	#126×C₆₁	—	2	1	no	—
236	#126×C₆₁	—	2	1	no	—
237	#126×C₆₁	—	2	1	no	—
238	#126×C₆₁	—	2	1	no	—
239	#126×C₆₁	—	2	1	no	—
240	#126×C₆₁	—	2	1	no	—
241	#126×C₆₁	—	2	1	no	—
242	#126×C₆₁	—	2	1	no	—
243	#126×C₆₁	—	2	1	no	—
244	#125×C₆₁	—	2	1	no	—
245	#125×C₆₁	—	2	1	no	—
246	#125×C₆₁	—	2	1	no	—
247	#125×C₆₁	—	2	1	no	—
248	#125×C₆₁	—	2	1	no	—
249	#125×C₆₁	—	2	1	no	—
250	#125×C₆₁	—	2	1	no	—
251	#125×C₆₁	—	2	1	no	—
252	#125×C₆₁	C₂³	1	1	yes	characteristic
253	#125×C₆₁	C₂³	1	1	yes	characteristic
254	#125×C₆₁	C₂³	1	1	yes	characteristic
255	#125×C₆₁	C₂³	1	1	yes	characteristic
256	#125×C₆₁	C₂³	1	1	yes	characteristic
257	#125×C₆₁	C₂³	1	1	yes	characteristic
258	#124×C₆₁	—	2	1	no	—
259	#124×C₆₁	—	2	1	no	—
260	#124×C₆₁	—	2	1	no	—
261	#124×C₆₁	—	2	1	no	—
262	#124×C₆₁	D₄	1	1	yes	characteristic
263	#124×C₆₁	D₄	1	1	yes	characteristic
264	#124×C₆₁	C₂³	1	1	yes	characteristic
265	#124×C₆₁	C₂³	1	1	yes	characteristic
266	#123×C₆₁	—	2	1	no	—
267	#123×C₆₁	—	2	1	no	—
268	#123×C₆₁	—	2	1	no	—
269	#123×C₆₁	—	2	1	no	—
270	#123×C₆₁	—	2	1	no	—
271	#123×C₆₁	—	2	1	no	—
272	#123×C₆₁	—	2	1	no	—
273	#123×C₆₁	—	2	1	no	—
274	#123×C₆₁	—	2	1	no	—
275	#123×C₆₁	—	2	1	no	—
276	#123×C₆₁	—	2	1	no	—
277	#123×C₆₁	—	2	1	no	—
278	#123×C₆₁	—	2	1	no	—
279	#123×C₆₁	—	2	1	no	—
280	#123×C₆₁	—	2	1	no	—
281	#123×C₆₁	—	2	1	no	—
282	#123×C₆₁	—	2	1	no	—
283	#123×C₆₁	—	2	1	no	—
284	C₂²⋊Q₈×C₆₁	—	2	1	no	—
285	C₂²⋊Q₈×C₆₁	—	2	1	no	—
286	C₂²⋊Q₈×C₆₁	—	2	1	no	—
287	C₂²⋊Q₈×C₆₁	—	2	1	no	—
288	C₂²⋊Q₈×C₆₁	—	2	1	no	—
289	C₂²⋊Q₈×C₆₁	—	2	1	no	—
290	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
291	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
292	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
293	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
294	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
295	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
296	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
297	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
298	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
299	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
300	#121×C₆₁	—	2	1	no	—
301	#121×C₆₁	—	2	1	no	—
302	#121×C₆₁	—	2	1	no	—
303	#121×C₆₁	—	2	1	no	—
304	#121×C₆₁	—	2	1	no	—
305	#121×C₆₁	—	2	1	no	—
306	#121×C₆₁	—	2	1	no	—
307	#121×C₆₁	—	2	1	no	—
308	#121×C₆₁	—	2	1	no	—
309	#121×C₆₁	—	2	1	no	—
310	#121×C₆₁	—	2	1	no	—
311	#121×C₆₁	—	2	1	no	—
312	#121×C₆₁	—	2	1	no	—
313	#121×C₆₁	—	2	1	no	—
314	#121×C₆₁	—	2	1	no	—
315	#121×C₆₁	—	2	1	no	—
316	#121×C₆₁	—	2	1	no	—
317	#121×C₆₁	—	2	1	no	—
318	#121×C₆₁	—	2	1	no	—
319	#121×C₆₁	—	2	1	no	—
320	#121×C₆₁	—	2	1	no	—
321	#121×C₆₁	—	2	1	no	—
322	#121×C₆₁	D₄	1	1	yes	characteristic
323	#121×C₆₁	D₄	1	1	yes	characteristic
324	#121×C₆₁	D₄	1	1	yes	characteristic
325	#121×C₆₁	D₄	1	1	yes	characteristic
326	#121×C₆₁	C₂³	1	1	yes	characteristic
327	#121×C₆₁	C₂³	1	1	yes	characteristic
328	#121×C₆₁	C₂³	1	1	yes	characteristic
329	#121×C₆₁	C₂³	1	1	yes	characteristic
330	#121×C₆₁	C₂³	1	1	yes	characteristic
331	#121×C₆₁	C₂³	1	1	yes	characteristic
332	#121×C₆₁	C₂³	1	1	yes	characteristic
333	#121×C₆₁	C₂³	1	1	yes	characteristic
334	#121×C₆₁	C₂³	1	1	yes	characteristic
335	#121×C₆₁	C₂³	1	1	yes	characteristic
336	#120×C₆₁	—	2	1	no	—
337	#120×C₆₁	—	2	1	no	—
338	#120×C₆₁	—	2	1	no	—
339	#120×C₆₁	—	2	1	no	—
340	C₄×Q₈×C₆₁	—	2	1	no	—
341	C₄×Q₈×C₆₁	—	2	1	no	—
342	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
346	C₄×D₄×C₆₁	—	2	1	no	—
347	C₄×D₄×C₆₁	—	2	1	no	—
348	C₄×D₄×C₆₁	—	2	1	no	—
349	C₄×D₄×C₆₁	—	2	1	no	—
350	C₄×D₄×C₆₁	—	2	1	no	—
351	C₄×D₄×C₆₁	—	2	1	no	—
352	C₄×D₄×C₆₁	—	2	1	no	—
353	C₄×D₄×C₆₁	—	2	1	no	—
354	C₄×D₄×C₆₁	—	2	1	no	—
355	C₄×D₄×C₆₁	—	2	1	no	—
356	C₄×D₄×C₆₁	—	2	1	no	—
357	C₄×D₄×C₆₁	—	2	1	no	—
358	C₄×D₄×C₆₁	—	2	1	no	—
359	C₄×D₄×C₆₁	—	2	1	no	—
360	C₄×D₄×C₆₁	—	2	1	no	—
361	C₄×D₄×C₆₁	—	2	1	no	—
362	C₄×D₄×C₆₁	—	2	1	no	—
363	C₄×D₄×C₆₁	—	2	1	no	—
364	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
372	#117×C₆₁	—	2	1	no	—
373	#117×C₆₁	—	2	1	no	—
374	#117×C₆₁	—	2	1	no	—
375	#117×C₆₁	—	2	1	no	—
376	#117×C₆₁	—	2	1	no	—
377	#117×C₆₁	—	2	1	no	—
378	#117×C₆₁	—	2	1	no	—
379	#117×C₆₁	—	2	1	no	—
380	#117×C₆₁	—	2	1	no	—
381	#117×C₆₁	C₂³	1	1	yes	characteristic
382	#117×C₆₁	C₂³	1	1	yes	characteristic
383	#117×C₆₁	C₂³	1	1	yes	characteristic
384	#117×C₆₁	C₂³	1	1	yes	characteristic
385	#117×C₆₁	C₂³	1	1	yes	characteristic
386	#117×C₆₁	C₂³	1	1	yes	characteristic
387	#117×C₆₁	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
389	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
390	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
398	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
399	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
400	C₂×C₄²×C₆₁	—	2	1	no	—
401	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
402	#107×C₆₁	C₂³	1	1	yes	characteristic
403	#107×C₆₁	C₂³	1	1	yes	characteristic
404	#107×C₆₁	C₂³	1	1	yes	characteristic
405	#107×C₆₁	C₂³	1	1	yes	characteristic
406	#107×C₆₁	C₂³	1	1	yes	characteristic
407	#107×C₆₁	C₂³	1	1	yes	characteristic
408	#107×C₆₁	C₂³	1	1	yes	characteristic
409	#107×C₆₁	C₂³	1	1	yes	characteristic
410	#107×C₆₁	C₂³	1	1	yes	characteristic
411	#107×C₆₁	C₂³	1	1	yes	characteristic
412	#107×C₆₁	C₂³	1	1	yes	characteristic
413	#107×C₆₁	C₂³	1	1	yes	characteristic
414	#106×C₆₁	C₂³	1	1	yes	characteristic
415	#106×C₆₁	C₂³	1	1	yes	characteristic
416	#106×C₆₁	C₂³	1	1	yes	characteristic
417	#106×C₆₁	C₂³	1	1	yes	characteristic
418	#106×C₆₁	C₂³	1	1	yes	characteristic
419	#106×C₆₁	C₂³	1	1	yes	characteristic
420	#106×C₆₁	C₂³	1	1	yes	characteristic
421	#106×C₆₁	C₂³	1	1	yes	characteristic
422	#106×C₆₁	C₂³	1	1	yes	characteristic
423	#106×C₆₁	C₂³	1	1	yes	characteristic
424	#106×C₆₁	C₂³	1	1	yes	characteristic
425	#106×C₆₁	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
430	#103×C₆₁	C₂³	1	1	yes	characteristic
431	#103×C₆₁	C₂³	1	1	yes	characteristic
432	#103×C₆₁	C₂³	1	1	yes	characteristic
433	#103×C₆₁	C₂³	1	1	yes	characteristic
434	#103×C₆₁	C₂³	1	1	yes	characteristic
435	#103×C₆₁	C₂³	1	1	yes	characteristic
436	#103×C₆₁	C₂³	1	1	yes	characteristic
437	#103×C₆₁	C₂³	1	1	yes	characteristic
438	#103×C₆₁	C₂³	1	1	yes	characteristic
439	#103×C₆₁	C₂³	1	1	yes	characteristic
440	#103×C₆₁	C₂³	1	1	yes	characteristic
441	#103×C₆₁	C₂³	1	1	yes	characteristic
442	#103×C₆₁	C₂³	1	1	yes	characteristic
443	#103×C₆₁	C₂³	1	1	yes	characteristic
444	#103×C₆₁	C₂³	1	1	yes	characteristic
445	#103×C₆₁	C₂³	1	1	yes	characteristic
446	#102×C₆₁	C₂³	1	1	yes	characteristic
447	#102×C₆₁	C₂³	1	1	yes	characteristic
448	#102×C₆₁	C₂³	1	1	yes	characteristic
449	#102×C₆₁	C₂³	1	1	yes	characteristic
450	#102×C₆₁	C₂³	1	1	yes	characteristic
451	#102×C₆₁	C₂³	1	1	yes	characteristic
452	#102×C₆₁	C₂³	1	1	yes	characteristic
453	#102×C₆₁	C₂³	1	1	yes	characteristic
454	#102×C₆₁	C₂³	1	1	yes	characteristic
455	#102×C₆₁	C₂³	1	1	yes	characteristic
456	#102×C₆₁	C₂³	1	1	yes	characteristic
457	#102×C₆₁	C₂³	1	1	yes	characteristic
458	#102×C₆₁	C₂³	1	1	yes	characteristic
459	#102×C₆₁	C₂³	1	1	yes	characteristic
460	#102×C₆₁	C₂³	1	1	yes	characteristic
461	#102×C₆₁	C₂³	1	1	yes	characteristic
462	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
478	C₂⁴×C₆₁	—	2	1	no	—
479	#41×C₆₁	—	4	1	no	—
480	#41×C₆₁	—	4	1	no	—
481	#41×C₆₁	—	4	1	no	—
482	#41×C₆₁	—	4	1	no	—
483	#41×C₆₁	—	4	1	no	—
484	#41×C₆₁	—	4	1	no	—
485	#41×C₆₁	—	4	1	no	—
486	#41×C₆₁	—	4	1	no	—
487	#41×C₆₁	—	4	1	no	—
488	#41×C₆₁	—	4	1	no	—
489	C₂×Q₈×C₆₁	—	2	1	no	—
490	C₂×Q₈×C₆₁	—	4	1	no	—
491	C₂×Q₈×C₆₁	—	4	1	no	—
492	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
493	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₆₁	—	2	1	no	—
498	C₂×D₄×C₆₁	—	2	1	no	—
499	C₂×D₄×C₆₁	—	2	1	no	—
500	C₂×D₄×C₆₁	—	2	1	no	—
501	C₂×D₄×C₆₁	—	2	1	no	—
502	C₂×D₄×C₆₁	—	2	1	no	—
503	C₂×D₄×C₆₁	—	2	1	no	—
504	C₂×D₄×C₆₁	—	2	1	no	—
505	C₂×D₄×C₆₁	—	2	1	no	—
506	C₂×D₄×C₆₁	—	2	1	no	—
507	C₂×D₄×C₆₁	—	2	1	no	—
508	C₂×D₄×C₆₁	—	2	1	no	—
509	C₂×D₄×C₆₁	—	2	1	no	—
510	C₂×D₄×C₆₁	—	2	1	no	—
511	C₂×D₄×C₆₁	—	4	1	no	—
512	C₂×D₄×C₆₁	—	4	1	no	—
513	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
522	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
523	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
525	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₆₁	—	2	1	no	—
527	C₂²×C₄×C₆₁	—	2	1	no	—
528	C₂²×C₄×C₆₁	—	2	1	no	—
529	C₂²×C₄×C₆₁	—	2	1	no	—
530	C₂²×C₄×C₆₁	—	2	1	no	—
531	C₂²×C₄×C₆₁	—	2	1	no	—
532	C₂²×C₄×C₆₁	—	2	1	no	—
533	C₂²×C₄×C₆₁	—	2	1	no	—
534	C₂²×C₄×C₆₁	—	2	1	no	—
535	C₂²×C₄×C₆₁	—	2	1	no	—
536	C₂²×C₄×C₆₁	—	2	1	no	—
537	C₂²×C₄×C₆₁	—	2	1	no	—
538	C₂²×C₄×C₆₁	—	2	1	no	—
539	C₂²×C₄×C₆₁	—	2	1	no	—
540	C₂²×C₄×C₆₁	—	2	1	no	—
541	C₂²×C₄×C₆₁	—	2	1	no	—
542	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
549	Q₁₆×C₆₁	—	4	1	no	—
550	Q₁₆×C₆₁	—	4	1	no	—
551	SD₁₆×C₆₁	—	4	1	no	—
552	SD₁₆×C₆₁	—	4	1	no	—
553	SD₁₆×C₆₁	—	4	1	no	—
554	SD₁₆×C₆₁	—	4	1	no	—
555	D₈×C₆₁	—	4	1	no	—
556	D₈×C₆₁	—	4	1	no	—
557	M₁₆×C₆₁	—	4	1	no	—
558	M₁₆×C₆₁	—	4	1	no	—
559	M₁₆×C₆₁	—	4	1	no	—
560	M₁₆×C₆₁	—	4	1	no	—
561	C₂×C₈×C₆₁	—	4	1	no	—
562	C₂×C₈×C₆₁	—	4	1	no	—
563	C₂×C₈×C₆₁	—	4	1	no	—
564	C₂×C₈×C₆₁	—	4	1	no	—
565	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
573	C₄⋊C₄×C₆₁	—	2	1	no	—
574	C₄⋊C₄×C₆₁	—	2	1	no	—
575	C₄⋊C₄×C₆₁	—	2	1	no	—
576	C₄⋊C₄×C₆₁	—	2	1	no	—
577	C₄⋊C₄×C₆₁	—	2	1	no	—
578	C₄⋊C₄×C₆₁	—	2	1	no	—
579	C₄⋊C₄×C₆₁	—	2	1	no	—
580	C₄⋊C₄×C₆₁	—	2	1	no	—
581	C₄⋊C₄×C₆₁	—	2	1	no	—
582	C₄⋊C₄×C₆₁	—	2	1	no	—
583	C₄⋊C₄×C₆₁	—	2	1	no	—
584	C₄⋊C₄×C₆₁	—	2	1	no	—
585	C₄⋊C₄×C₆₁	—	2	1	no	—
586	C₄⋊C₄×C₆₁	—	2	1	no	—
587	C₄⋊C₄×C₆₁	—	2	1	no	—
588	C₄⋊C₄×C₆₁	—	2	1	no	—
589	C₄⋊C₄×C₆₁	—	2	1	no	—
590	C₄⋊C₄×C₆₁	—	2	1	no	—
591	C₄⋊C₄×C₆₁	—	2	1	no	—
592	C₄⋊C₄×C₆₁	—	2	1	no	—
593	C₄⋊C₄×C₆₁	—	2	1	no	—
594	C₄⋊C₄×C₆₁	—	2	1	no	—
595	C₄⋊C₄×C₆₁	—	2	1	no	—
596	C₄⋊C₄×C₆₁	—	2	1	no	—
597	C₄⋊C₄×C₆₁	—	2	1	no	—
598	C₄⋊C₄×C₆₁	—	2	1	no	—
599	C₄⋊C₄×C₆₁	—	2	1	no	—
600	C₄⋊C₄×C₆₁	—	2	1	no	—
601	C₄⋊C₄×C₆₁	—	2	1	no	—
602	C₄⋊C₄×C₆₁	—	2	1	no	—
603	C₄⋊C₄×C₆₁	—	2	1	no	—
604	C₄⋊C₄×C₆₁	—	2	1	no	—
605	C₄⋊C₄×C₆₁	—	2	1	no	—
606	C₄⋊C₄×C₆₁	—	2	1	no	—
607	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
621	C₂²⋊C₄×C₆₁	—	2	1	no	—
622	C₂²⋊C₄×C₆₁	—	2	1	no	—
623	C₂²⋊C₄×C₆₁	—	2	1	no	—
624	C₂²⋊C₄×C₆₁	—	2	1	no	—
625	C₂²⋊C₄×C₆₁	—	2	1	no	—
626	C₂²⋊C₄×C₆₁	—	2	1	no	—
627	C₂²⋊C₄×C₆₁	—	2	1	no	—
628	C₂²⋊C₄×C₆₁	—	2	1	no	—
629	C₂²⋊C₄×C₆₁	—	2	1	no	—
630	C₂²⋊C₄×C₆₁	—	2	1	no	—
631	C₂²⋊C₄×C₆₁	—	2	1	no	—
632	C₂²⋊C₄×C₆₁	—	2	1	no	—
633	C₂²⋊C₄×C₆₁	—	2	1	no	—
634	C₂²⋊C₄×C₆₁	—	2	1	no	—
635	C₂²⋊C₄×C₆₁	—	2	1	no	—
636	C₂²⋊C₄×C₆₁	—	2	1	no	—
637	C₂²⋊C₄×C₆₁	—	2	1	no	—
638	C₂²⋊C₄×C₆₁	—	2	1	no	—
639	C₂²⋊C₄×C₆₁	—	2	1	no	—
640	C₂²⋊C₄×C₆₁	—	2	1	no	—
641	C₂²⋊C₄×C₆₁	—	2	1	no	—
642	C₂²⋊C₄×C₆₁	—	2	1	no	—
643	C₂²⋊C₄×C₆₁	—	2	1	no	—
644	C₂²⋊C₄×C₆₁	—	2	1	no	—
645	C₂²⋊C₄×C₆₁	—	2	1	no	—
646	C₂²⋊C₄×C₆₁	—	2	1	no	—
647	C₂²⋊C₄×C₆₁	—	2	1	no	—
648	C₂²⋊C₄×C₆₁	—	2	1	no	—
649	C₂²⋊C₄×C₆₁	—	2	1	no	—
650	C₂²⋊C₄×C₆₁	—	2	1	no	—
651	C₂²⋊C₄×C₆₁	—	2	1	no	—
652	C₂²⋊C₄×C₆₁	—	2	1	no	—
653	C₂²⋊C₄×C₆₁	—	2	1	no	—
654	C₂²⋊C₄×C₆₁	—	2	1	no	—
655	C₂²⋊C₄×C₆₁	—	2	1	no	—
656	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₆₁	—	2	1	no	—
665	C₄²×C₆₁	—	2	1	no	—
666	C₄²×C₆₁	—	2	1	no	—
667	C₄²×C₆₁	—	2	1	no	—
668	C₄²×C₆₁	—	2	1	no	—
669	C₄²×C₆₁	—	2	1	no	—
670	C₄²×C₆₁	—	2	1	no	—
671	C₄²×C₆₁	—	2	1	no	—
672	C₄²×C₆₁	—	2	1	no	—
673	C₄²×C₆₁	—	2	1	no	—
674	C₄²×C₆₁	—	2	1	no	—
675	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
678	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
679	C₂³×C₆₁	—	2	1	no	—
680	C₂³×C₆₁	—	2	1	no	—
681	C₂³×C₆₁	—	2	1	no	—
682	C₂³×C₆₁	—	8	1	no	—
683	C₂³×C₆₁	—	8	1	no	—
684	C₂³×C₆₁	—	8	1	no	—
685	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
686	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
687	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
688	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
689	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
690	Q₈×C₆₁	—	2	1	no	—
691	Q₈×C₆₁	—	2	1	no	—
692	Q₈×C₆₁	—	2	1	no	—
693	Q₈×C₆₁	—	2	1	no	—
694	Q₈×C₆₁	—	2	1	no	—
695	Q₈×C₆₁	—	2	1	no	—
696	Q₈×C₆₁	—	4	1	no	—
697	Q₈×C₆₁	—	4	1	no	—
698	Q₈×C₆₁	—	8	1	no	—
699	D₄×C₆₁	—	2	1	no	—
700	D₄×C₆₁	—	2	1	no	—
701	D₄×C₆₁	—	2	1	no	—
702	D₄×C₆₁	—	2	1	no	—
703	D₄×C₆₁	—	2	1	no	—
704	D₄×C₆₁	—	2	1	no	—
705	D₄×C₆₁	—	4	1	no	—
706	D₄×C₆₁	—	4	1	no	—
707	D₄×C₆₁	—	4	1	no	—
708	D₄×C₆₁	—	4	1	no	—
709	D₄×C₆₁	—	4	1	no	—
710	D₄×C₆₁	—	4	1	no	—
711	D₄×C₆₁	—	4	1	no	—
712	D₄×C₆₁	—	4	1	no	—
713	D₄×C₆₁	—	4	1	no	—
714	D₄×C₆₁	—	4	1	no	—
715	D₄×C₆₁	—	4	2	no	—
716	D₄×C₆₁	—	8	1	no	—
717	D₄×C₆₁	—	8	1	no	—
718	D₄×C₆₁	—	8	1	no	—
719	D₄×C₆₁	—	8	1	no	—
720	D₄×C₆₁	—	8	1	no	—
721	D₄×C₆₁	—	8	1	no	—
722	D₄×C₆₁	—	8	1	no	—
723	D₄×C₆₁	—	8	1	no	—
724	D₄×C₆₁	—	8	1	no	—
725	D₄×C₆₁	—	8	1	no	—
726	D₄×C₆₁	—	8	1	no	—
727	D₄×C₆₁	—	8	1	no	—
728	D₄×C₆₁	—	8	1	no	—
729	C₂×C₄×C₆₁	—	2	1	no	—
730	C₂×C₄×C₆₁	—	2	1	no	—
731	C₂×C₄×C₆₁	—	2	1	no	—
732	C₂×C₄×C₆₁	—	2	1	no	—
733	C₂×C₄×C₆₁	—	2	1	no	—
734	C₂×C₄×C₆₁	—	2	1	no	—
735	C₂×C₄×C₆₁	—	2	1	no	—
736	C₂×C₄×C₆₁	—	2	1	no	—
737	C₂×C₄×C₆₁	—	2	1	no	—
738	C₂×C₄×C₆₁	—	2	1	no	—
739	C₂×C₄×C₆₁	—	2	1	no	—
740	C₂×C₄×C₆₁	—	2	1	no	—
741	C₂×C₄×C₆₁	—	2	1	no	—
742	C₂×C₄×C₆₁	—	2	1	no	—
743	C₂×C₄×C₆₁	—	2	1	no	—
744	C₂×C₄×C₆₁	—	2	1	no	—
745	C₂×C₄×C₆₁	—	2	1	no	—
746	C₂×C₄×C₆₁	—	2	1	no	—
747	C₂×C₄×C₆₁	—	2	1	no	—
748	C₂×C₄×C₆₁	—	2	1	no	—
749	C₂×C₄×C₆₁	—	2	1	no	—
750	C₂×C₄×C₆₁	—	2	1	no	—
751	C₂×C₄×C₆₁	—	2	1	no	—
752	C₂×C₄×C₆₁	—	4	1	no	—
753	C₂×C₄×C₆₁	—	4	1	no	—
754	C₂×C₄×C₆₁	—	4	2	no	—
755	C₂×C₄×C₆₁	—	8	1	no	—
756	C₂×C₄×C₆₁	—	8	1	no	—
757	C₂×C₄×C₆₁	—	8	1	no	—
758	C₂×C₄×C₆₁	—	8	1	no	—
759	C₂×C₄×C₆₁	—	8	1	no	—
760	C₂×C₄×C₆₁	—	8	1	no	—
761	C₂×C₄×C₆₁	—	8	1	no	—
762	C₂×C₄×C₆₁	—	8	1	no	—
763	C₂×C₄×C₆₁	—	8	1	no	—
764	C₂×C₄×C₆₁	—	8	1	no	—
765	C₂×C₄×C₆₁	—	8	1	no	—
766	C₂×C₄×C₆₁	—	8	1	no	—
767	C₂×C₄×C₆₁	—	8	1	no	—
768	C₂×C₄×C₆₁	—	8	1	no	—
769	C₂×C₄×C₆₁	—	8	1	no	—
770	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
780	C₈×C₆₁	—	2	1	no	—
781	C₈×C₆₁	—	2	1	no	—
782	C₈×C₆₁	—	2	1	no	—
783	C₈×C₆₁	—	2	1	no	—
784	C₈×C₆₁	—	2	1	no	—
785	C₈×C₆₁	—	2	1	no	—
786	C₈×C₆₁	—	2	1	no	—
787	C₈×C₆₁	—	2	1	no	—
788	#61790	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
789	C₂²×C₆₁	—	2	1	no	—
790	C₂²×C₆₁	—	2	1	no	—
791	C₂²×C₆₁	—	2	1	no	—
792	C₂²×C₆₁	—	2	1	no	—
793	C₂²×C₆₁	—	2	1	no	—
794	C₂²×C₆₁	—	2	1	no	—
795	C₂²×C₆₁	—	2	1	no	—
796	C₂²×C₆₁	—	2	1	no	—
797	C₂²×C₆₁	—	2	1	no	—
798	C₂²×C₆₁	—	2	1	no	—
799	C₂²×C₆₁	—	2	1	no	—
800	C₂²×C₆₁	—	2	1	no	—
801	C₂²×C₆₁	—	2	1	no	—
802	C₂²×C₆₁	—	2	1	no	—
803	C₂²×C₆₁	—	2	1	no	—
804	C₂²×C₆₁	—	4	1	no	—
805	C₂²×C₆₁	—	4	1	no	—
806	C₂²×C₆₁	—	4	1	no	—
807	C₂²×C₆₁	—	4	1	no	—
808	C₂²×C₆₁	—	4	1	no	—
809	C₂²×C₆₁	—	4	1	no	—
810	C₂²×C₆₁	—	4	1	no	—
811	C₂²×C₆₁	—	4	1	no	—
812	C₂²×C₆₁	—	4	1	no	—
813	C₂²×C₆₁	—	16	2	no	—
814	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
815	C₄×C₆₁	—	2	1	no	—
816	C₄×C₆₁	—	2	1	no	—
817	C₄×C₆₁	—	2	1	no	—
818	C₄×C₆₁	—	2	1	no	—
819	C₄×C₆₁	—	2	1	no	—
820	C₄×C₆₁	—	2	1	no	—
821	C₄×C₆₁	—	2	1	no	—
822	C₄×C₆₁	—	2	1	no	—
823	C₄×C₆₁	—	2	1	no	—
824	C₄×C₆₁	—	4	1	no	—
825	C₄×C₆₁	—	4	1	no	—
826	C₄×C₆₁	—	4	1	no	—
827	C₄×C₆₁	—	4	1	no	—
828	C₄×C₆₁	—	4	1	no	—
829	C₄×C₆₁	—	4	1	no	—
830	C₄×C₆₁	—	4	1	no	—
831	C₄×C₆₁	—	4	1	no	—
832	C₄×C₆₁	—	4	1	no	—
833	C₄×C₆₁	—	4	1	no	—
834	C₄×C₆₁	—	4	1	no	—
835	C₄×C₆₁	—	4	1	no	—
836	C₄×C₆₁	—	4	1	no	—
837	C₄×C₆₁	#585	1	1	yes	characteristic
838	C₄×C₆₁	#585	1	1	yes	characteristic
839	#3551	C₂×C₆₁	1	1	yes	characteristic, complemented
840	#3512	C₂×C₆₁	1	1	yes	characteristic, complemented
841	#3355	C₂×C₆₁	1	1	yes	characteristic, complemented
842	#3352	C₂×C₆₁	1	1	yes	characteristic, complemented
843	#3351	C₂×C₆₁	1	1	yes	characteristic, complemented
844	#3351	C₂×C₆₁	1	1	yes	characteristic, complemented
845	#3339	C₂×C₆₁	1	1	yes	characteristic, complemented
846	#3337	C₂×C₆₁	1	1	yes	characteristic, complemented
847	#3337	C₂×C₆₁	1	1	yes	characteristic, complemented
848	#3336	C₂×C₆₁	1	1	yes	characteristic, complemented
849	#3327	C₂×C₆₁	1	1	yes	characteristic, complemented
850	#3326	C₂×C₆₁	1	1	yes	characteristic, complemented
851	#3323	C₂×C₆₁	1	1	yes	characteristic, complemented
852	#3322	C₂×C₆₁	1	1	yes	characteristic, complemented
853	#3301	C₂×C₆₁	1	1	yes	characteristic, complemented
854	#3300	C₂×C₆₁	1	1	yes	characteristic, complemented
855	#3297	C₂×C₆₁	1	1	yes	characteristic, complemented
856	#3296	C₂×C₆₁	1	1	yes	characteristic, complemented
857	#3232	C₂×C₆₁	1	1	yes	characteristic, complemented
858	#3232	C₂×C₆₁	1	1	yes	characteristic, complemented
859	#3204	C₂×C₆₁	1	1	yes	characteristic, complemented
860	#3203	C₂×C₆₁	1	1	yes	characteristic, complemented
861	#3201	C₂×C₆₁	1	1	yes	characteristic, complemented
862	#3198	C₂×C₆₁	1	1	yes	characteristic, complemented
863	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
864	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
865	#3099	C₂×C₆₁	1	1	yes	characteristic, complemented
866	#3098	C₂×C₆₁	1	1	yes	characteristic, complemented
867	#3097	C₂×C₆₁	1	1	yes	characteristic, complemented
868	#3096	C₂×C₆₁	1	1	yes	characteristic, complemented
869	#2979	C₂×C₆₁	1	1	yes	characteristic, complemented
870	C₂×C₆₁	—	4	1	no	—
871	C₂×C₆₁	—	4	1	no	—
872	C₂×C₆₁	—	4	1	no	—
873	C₂×C₆₁	—	4	1	no	—
874	C₂×C₆₁	—	4	1	no	—
875	C₂×C₆₁	—	8	1	no	—
876	C₂×C₆₁	—	8	1	no	—
877	C₂×C₆₁	—	8	1	no	—
878	C₂×C₆₁	#3485	1	1	yes	characteristic
879	C₂×C₆₁	#3584	1	1	yes	characteristic
880	C₂×C₆₁	#3584	1	1	yes	characteristic
881	#563	—	2	1	no	—
882	#560	—	2	1	no	—
883	#555	—	2	1	no	—
884	#553	—	2	1	no	—
885	#553	—	2	1	no	—
886	#553	—	2	1	no	—
887	#553	—	2	1	no	—
888	#553	C₂²×C₆₁	1	1	yes	characteristic
889	#553	C₂²×C₆₁	1	1	yes	characteristic
890	#553	C₂²×C₆₁	1	1	yes	characteristic
891	#553	C₂²×C₆₁	1	1	yes	characteristic
892	#553	C₂²×C₆₁	1	1	yes	characteristic, complemented
893	#553	C₂²×C₆₁	1	1	yes	characteristic, complemented
894	#552	C₂²×C₆₁	1	1	yes	characteristic
895	#552	C₂²×C₆₁	1	1	yes	characteristic
896	#552	C₂²×C₆₁	1	1	yes	characteristic
897	#552	C₂²×C₆₁	1	1	yes	characteristic
898	#552	C₂²×C₆₁	1	1	yes	characteristic, complemented
899	#552	C₂²×C₆₁	1	1	yes	characteristic, complemented
900	#551	—	2	1	no	—
901	#548	C₂²×C₆₁	1	1	yes	characteristic
902	#548	C₂²×C₆₁	1	1	yes	characteristic
903	#546	C₂²×C₆₁	1	1	yes	characteristic
904	#546	C₂²×C₆₁	1	1	yes	characteristic
905	#541	—	2	1	no	—
906	#540	—	2	1	no	—
907	#540	—	2	1	no	—
908	#540	—	2	1	no	—
909	#538	—	2	1	no	—
910	#538	—	2	1	no	—
911	#537	C₂²×C₆₁	1	1	yes	characteristic
912	#537	C₂²×C₆₁	1	1	yes	characteristic
913	#537	C₂²×C₆₁	1	1	yes	characteristic
914	#537	C₂²×C₆₁	1	1	yes	characteristic, complemented
915	#536	C₂²×C₆₁	1	1	yes	characteristic
916	#535	C₂²×C₆₁	1	1	yes	characteristic
917	#532	C₂²×C₆₁	1	1	yes	characteristic
918	#529	—	2	1	no	—
919	#529	—	2	1	no	—
920	#529	C₂²×C₆₁	1	1	yes	characteristic
921	#529	C₂²×C₆₁	1	1	yes	characteristic
922	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic, complemented
923	#520	C₂²×C₆₁	1	1	yes	characteristic
924	#520	C₂²×C₆₁	1	1	yes	characteristic, complemented
925	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
926	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
927	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
928	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
929	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
930	#488	C₂²×C₆₁	1	1	yes	characteristic
931	#488	C₂²×C₆₁	1	1	yes	characteristic
932	#488	C₂²×C₆₁	1	1	yes	characteristic
933	#488	C₂²×C₆₁	1	1	yes	characteristic
934	#485	C₂²×C₆₁	1	1	yes	characteristic
935	#485	C₂²×C₆₁	1	1	yes	characteristic
936	#485	C₂²×C₆₁	1	1	yes	characteristic
937	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
938	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
939	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
940	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
941	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
942	#484	C₂²×C₆₁	1	1	yes	characteristic
943	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
944	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
945	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
946	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
947	#483	C₂²×C₆₁	1	1	yes	characteristic
948	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
949	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
950	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
951	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
952	#482	C₂²×C₆₁	1	1	yes	characteristic
953	#482	C₂²×C₆₁	1	1	yes	characteristic
954	#482	C₂²×C₆₁	1	1	yes	characteristic
955	#482	C₂²×C₆₁	1	1	yes	characteristic
956	#482	C₂²×C₆₁	1	1	yes	characteristic
957	#482	C₂²×C₆₁	1	1	yes	characteristic
958	#482	C₂²×C₆₁	1	1	yes	characteristic
959	#482	C₂²×C₆₁	1	1	yes	characteristic, complemented
960	#481	C₂²×C₆₁	1	1	yes	characteristic
961	#481	C₂²×C₆₁	1	1	yes	characteristic
962	#481	C₂²×C₆₁	1	1	yes	characteristic
963	#481	C₂²×C₆₁	1	1	yes	characteristic
964	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
965	#480	C₂²×C₆₁	1	1	yes	characteristic
966	#480	C₂²×C₆₁	1	1	yes	characteristic
967	#480	C₂²×C₆₁	1	1	yes	characteristic
968	#480	C₂²×C₆₁	1	1	yes	characteristic
969	#480	C₂²×C₆₁	1	1	yes	characteristic, complemented
970	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
971	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
972	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
973	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
974	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
975	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
976	#478	C₂²×C₆₁	1	1	yes	characteristic
977	#478	C₂²×C₆₁	1	1	yes	characteristic
978	#478	C₂²×C₆₁	1	1	yes	characteristic
979	#478	C₂²×C₆₁	1	1	yes	characteristic
980	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
981	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
982	#470	C₂²×C₆₁	1	1	yes	characteristic
983	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
984	#469	C₂²×C₆₁	1	1	yes	characteristic
985	#469	C₂²×C₆₁	1	1	yes	characteristic
986	#468	C₂²×C₆₁	1	1	yes	characteristic
987	#468	C₂²×C₆₁	1	1	yes	characteristic
988	#468	C₂²×C₆₁	1	1	yes	characteristic
989	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
990	#467	C₂²×C₆₁	1	1	yes	characteristic
991	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
992	#466	C₂²×C₆₁	1	1	yes	characteristic
993	#466	C₂²×C₆₁	1	1	yes	characteristic
994	#465	C₂²×C₆₁	1	1	yes	characteristic
995	#465	C₂²×C₆₁	1	1	yes	characteristic
996	#465	C₂²×C₆₁	1	1	yes	characteristic
997	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
998	#464	C₂²×C₆₁	1	1	yes	characteristic
999	#464	C₂²×C₆₁	1	1	yes	characteristic
1000	#463	C₂²×C₆₁	1	1	yes	characteristic
1001	#463	C₂²×C₆₁	1	1	yes	characteristic
1002	#452	C₂²×C₆₁	1	1	yes	characteristic
1003	#452	C₂²×C₆₁	1	1	yes	characteristic
1004	#452	C₂²×C₆₁	1	1	yes	characteristic, complemented
1005	#452	C₂²×C₆₁	1	1	yes	characteristic, complemented
1006	#451	C₂²×C₆₁	1	1	yes	characteristic, complemented
1007	#450	C₂²×C₆₁	1	1	yes	characteristic
1008	#449	C₂²×C₆₁	1	1	yes	characteristic
1009	#449	C₂²×C₆₁	1	1	yes	characteristic
1010	#449	C₂²×C₆₁	1	1	yes	characteristic
1011	#449	C₂²×C₆₁	1	1	yes	characteristic
1012	#448	C₂²×C₆₁	1	1	yes	characteristic, complemented
1013	#447	C₂²×C₆₁	1	1	yes	characteristic
1014	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1015	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1016	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1017	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1018	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1019	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1020	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1021	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1022	#436	C₂²×C₆₁	1	1	yes	characteristic
1023	#436	C₂²×C₆₁	1	1	yes	characteristic
1024	#436	C₂²×C₆₁	1	1	yes	characteristic, complemented
1025	#436	C₂²×C₆₁	1	1	yes	characteristic, complemented
1026	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1027	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1028	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
1029	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
1030	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
1031	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
1032	#428	C₂²×C₆₁	1	1	yes	characteristic
1033	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1034	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1035	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1036	#427	C₂²×C₆₁	1	1	yes	characteristic
1037	#427	C₂²×C₆₁	1	1	yes	characteristic, complemented
1038	C₂×#107	C₂²×C₆₁	1	1	yes	characteristic, complemented
1039	C₂×#106	C₂²×C₆₁	1	1	yes	characteristic, complemented
1040	#419	C₂²×C₆₁	1	1	yes	characteristic, complemented
1041	#418	C₂²×C₆₁	1	1	yes	characteristic
1042	#417	C₂²×C₆₁	1	1	yes	characteristic
1043	#417	C₂²×C₆₁	1	1	yes	characteristic
1044	#416	C₂²×C₆₁	1	1	yes	characteristic
1045	#416	C₂²×C₆₁	1	1	yes	characteristic
1046	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic, complemented
1047	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
1048	#408	C₂²×C₆₁	1	1	yes	characteristic
1049	#408	C₂²×C₆₁	1	1	yes	characteristic
1050	#408	C₂²×C₆₁	1	1	yes	characteristic, complemented
1051	#408	C₂²×C₆₁	1	1	yes	characteristic, complemented
1052	C₆₁	#61790	1	1	yes	characteristic, direct product factor, Sylow
1053	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1054	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1055	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1056	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1057	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1058	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1059	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1060	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1061	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1066	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1067	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1069	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1070	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1071	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1072	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1073	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1074	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1075	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1076	C₄⋊Q₈	—	2	1	no	—
1077	C₄⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1078	#127	—	2	1	no	—
1079	#127	D₄×C₆₁	1	1	yes	characteristic
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	C₂³×C₆₁	1	1	yes	characteristic
1103	#125	C₂³×C₆₁	1	1	yes	characteristic
1104	#125	C₂³×C₆₁	1	1	yes	characteristic
1105	#125	C₂³×C₆₁	1	1	yes	characteristic
1106	#125	C₂³×C₆₁	1	1	yes	characteristic
1107	#125	C₂³×C₆₁	1	1	yes	characteristic
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	D₄×C₆₁	1	1	yes	characteristic
1113	#124	D₄×C₆₁	1	1	yes	characteristic
1114	#124	C₂³×C₆₁	1	1	yes	characteristic
1115	#124	C₂³×C₆₁	1	1	yes	characteristic
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1141	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1142	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1143	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1144	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	D₄×C₆₁	1	1	yes	characteristic
1173	#121	D₄×C₆₁	1	1	yes	characteristic
1174	#121	D₄×C₆₁	1	1	yes	characteristic
1175	#121	D₄×C₆₁	1	1	yes	characteristic
1176	#121	C₂³×C₆₁	1	1	yes	characteristic
1177	#121	C₂³×C₆₁	1	1	yes	characteristic
1178	#121	C₂³×C₆₁	1	1	yes	characteristic
1179	#121	C₂³×C₆₁	1	1	yes	characteristic
1180	#121	C₂³×C₆₁	1	1	yes	characteristic
1181	#121	C₂³×C₆₁	1	1	yes	characteristic
1182	#121	C₂³×C₆₁	1	1	yes	characteristic
1183	#121	C₂³×C₆₁	1	1	yes	characteristic
1184	#121	C₂³×C₆₁	1	1	yes	characteristic
1185	#121	C₂³×C₆₁	1	1	yes	characteristic
1186	#120	—	2	1	no	—
1187	#120	—	2	1	no	—
1188	#120	—	2	1	no	—
1189	#120	—	2	1	no	—
1190	C₄×Q₈	—	2	1	no	—
1191	C₄×Q₈	—	2	1	no	—
1192	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1194	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1195	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1220	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	C₂³×C₆₁	1	1	yes	characteristic
1232	#117	C₂³×C₆₁	1	1	yes	characteristic
1233	#117	C₂³×C₆₁	1	1	yes	characteristic
1234	#117	C₂³×C₆₁	1	1	yes	characteristic
1235	#117	C₂³×C₆₁	1	1	yes	characteristic
1236	#117	C₂³×C₆₁	1	1	yes	characteristic
1237	#117	C₂³×C₆₁	1	1	yes	characteristic
1238	C₂×C₄⋊C₄	—	2	1	no	—
1239	C₂×C₄⋊C₄	—	2	1	no	—
1240	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1242	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1243	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1244	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1247	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	—	2	1	no	—
1249	C₂×C₂²⋊C₄	—	2	1	no	—
1250	C₂×C₄²	—	2	1	no	—
1251	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1252	#107	C₂³×C₆₁	1	1	yes	characteristic
1253	#107	C₂³×C₆₁	1	1	yes	characteristic
1254	#107	C₂³×C₆₁	1	1	yes	characteristic
1255	#107	C₂³×C₆₁	1	1	yes	characteristic
1256	#107	C₂³×C₆₁	1	1	yes	characteristic
1257	#107	C₂³×C₆₁	1	1	yes	characteristic
1258	#107	C₂³×C₆₁	1	1	yes	characteristic
1259	#107	C₂³×C₆₁	1	1	yes	characteristic
1260	#107	C₂³×C₆₁	1	1	yes	characteristic
1261	#107	C₂³×C₆₁	1	1	yes	characteristic
1262	#107	C₂³×C₆₁	1	1	yes	characteristic
1263	#107	C₂³×C₆₁	1	1	yes	characteristic
1264	#106	C₂³×C₆₁	1	1	yes	characteristic
1265	#106	C₂³×C₆₁	1	1	yes	characteristic
1266	#106	C₂³×C₆₁	1	1	yes	characteristic
1267	#106	C₂³×C₆₁	1	1	yes	characteristic
1268	#106	C₂³×C₆₁	1	1	yes	characteristic
1269	#106	C₂³×C₆₁	1	1	yes	characteristic
1270	#106	C₂³×C₆₁	1	1	yes	characteristic
1271	#106	C₂³×C₆₁	1	1	yes	characteristic
1272	#106	C₂³×C₆₁	1	1	yes	characteristic
1273	#106	C₂³×C₆₁	1	1	yes	characteristic
1274	#106	C₂³×C₆₁	1	1	yes	characteristic
1275	#106	C₂³×C₆₁	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1278	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1279	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1280	#103	C₂³×C₆₁	1	1	yes	characteristic
1281	#103	C₂³×C₆₁	1	1	yes	characteristic
1282	#103	C₂³×C₆₁	1	1	yes	characteristic
1283	#103	C₂³×C₆₁	1	1	yes	characteristic
1284	#103	C₂³×C₆₁	1	1	yes	characteristic
1285	#103	C₂³×C₆₁	1	1	yes	characteristic
1286	#103	C₂³×C₆₁	1	1	yes	characteristic
1287	#103	C₂³×C₆₁	1	1	yes	characteristic
1288	#103	C₂³×C₆₁	1	1	yes	characteristic
1289	#103	C₂³×C₆₁	1	1	yes	characteristic
1290	#103	C₂³×C₆₁	1	1	yes	characteristic
1291	#103	C₂³×C₆₁	1	1	yes	characteristic
1292	#103	C₂³×C₆₁	1	1	yes	characteristic
1293	#103	C₂³×C₆₁	1	1	yes	characteristic
1294	#103	C₂³×C₆₁	1	1	yes	characteristic
1295	#103	C₂³×C₆₁	1	1	yes	characteristic
1296	#102	C₂³×C₆₁	1	1	yes	characteristic
1297	#102	C₂³×C₆₁	1	1	yes	characteristic
1298	#102	C₂³×C₆₁	1	1	yes	characteristic
1299	#102	C₂³×C₆₁	1	1	yes	characteristic
1300	#102	C₂³×C₆₁	1	1	yes	characteristic
1301	#102	C₂³×C₆₁	1	1	yes	characteristic
1302	#102	C₂³×C₆₁	1	1	yes	characteristic
1303	#102	C₂³×C₆₁	1	1	yes	characteristic
1304	#102	C₂³×C₆₁	1	1	yes	characteristic
1305	#102	C₂³×C₆₁	1	1	yes	characteristic
1306	#102	C₂³×C₆₁	1	1	yes	characteristic
1307	#102	C₂³×C₆₁	1	1	yes	characteristic
1308	#102	C₂³×C₆₁	1	1	yes	characteristic
1309	#102	C₂³×C₆₁	1	1	yes	characteristic
1310	#102	C₂³×C₆₁	1	1	yes	characteristic
1311	#102	C₂³×C₆₁	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1318	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1319	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1323	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1324	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1325	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1326	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1327	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1328	C₂⁴	—	2	1	no	—
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	4	1	no	—
1333	#41	—	4	1	no	—
1334	#41	—	4	1	no	—
1335	#41	—	4	1	no	—
1336	#41	—	4	1	no	—
1337	#41	—	4	1	no	—
1338	#41	—	4	1	no	—
1339	C₂×Q₈	—	2	1	no	—
1340	C₂×Q₈	—	4	1	no	—
1341	C₂×Q₈	—	4	1	no	—
1342	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1343	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1344	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1345	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1346	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	4	1	no	—
1362	C₂×D₄	—	4	1	no	—
1363	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1364	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1365	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1366	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1367	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1368	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1369	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1370	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1371	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1372	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1373	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1374	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1375	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1393	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1394	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1395	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1396	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1397	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1398	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1399	Q₁₆	—	4	1	no	—
1400	Q₁₆	—	4	1	no	—
1401	SD₁₆	—	4	1	no	—
1402	SD₁₆	—	4	1	no	—
1403	SD₁₆	—	4	1	no	—
1404	SD₁₆	—	4	1	no	—
1405	D₈	—	4	1	no	—
1406	D₈	—	4	1	no	—
1407	M₁₆	—	4	1	no	—
1408	M₁₆	—	4	1	no	—
1409	M₁₆	—	4	1	no	—
1410	M₁₆	—	4	1	no	—
1411	C₂×C₈	—	4	1	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	—	4	1	no	—
1414	C₂×C₈	—	4	1	no	—
1415	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1421	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1422	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1461	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1526	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1527	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1528	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1529	C₂³	—	2	1	no	—
1530	C₂³	—	2	1	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	8	1	no	—
1533	C₂³	—	8	1	no	—
1534	C₂³	—	8	1	no	—
1535	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1536	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1537	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1538	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1539	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	4	1	no	—
1547	Q₈	—	4	1	no	—
1548	Q₈	—	8	1	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	2	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	2	1	no	—
1553	D₄	—	2	1	no	—
1554	D₄	—	2	1	no	—
1555	D₄	—	4	1	no	—
1556	D₄	—	4	1	no	—
1557	D₄	—	4	1	no	—
1558	D₄	—	4	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	1	no	—
1561	D₄	—	4	1	no	—
1562	D₄	—	4	1	no	—
1563	D₄	—	4	1	no	—
1564	D₄	—	4	1	no	—
1565	D₄	—	4	2	no	—
1566	D₄	—	8	1	no	—
1567	D₄	—	8	1	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	8	1	no	—
1570	D₄	—	8	1	no	—
1571	D₄	—	8	1	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	2	no	—
1605	C₂×C₄	—	8	1	no	—
1606	C₂×C₄	—	8	1	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	8	1	no	—
1619	C₂×C₄	—	8	1	no	—
1620	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1626	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1627	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1628	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1629	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	16	2	no	—
1663	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	C₆₁×#585	1	1	yes	characteristic
1687	C₄	C₆₁×#585	1	1	yes	characteristic
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	4	1	no	—
1691	C₂	—	4	1	no	—
1692	C₂	—	4	1	no	—
1693	C₂	—	8	1	no	—
1694	C₂	—	8	1	no	—
1695	C₂	—	8	1	no	—
1696	C₂	C₆₁×#3485	1	1	yes	characteristic
1697	C₂	C₆₁×#3584	1	1	yes	characteristic
1698	C₂	C₆₁×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ C₆₁×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3551	C₂	semidirect
2. C₆₁×#3512	C₂	semidirect
3. C₆₁×#3355	C₂	semidirect
4. C₆₁×#3352	C₂	semidirect
5. C₆₁×#3351	C₂	semidirect
6. C₆₁×#3351	C₂	semidirect
7. C₆₁×#3339	C₂	semidirect
8. C₆₁×#3337	C₂	semidirect
9. C₆₁×#3337	C₂	semidirect
10. C₆₁×#3336	C₂	semidirect
11. C₆₁×#3327	C₂	semidirect
12. C₆₁×#3326	C₂	semidirect
13. C₆₁×#3323	C₂	semidirect
14. C₆₁×#3322	C₂	semidirect
15. C₆₁×#3301	C₂	semidirect
16. C₆₁×#3300	C₂	semidirect
17. C₆₁×#3297	C₂	semidirect
18. C₆₁×#3296	C₂	semidirect
19. C₆₁×#3232	C₂	semidirect
20. C₆₁×#3232	C₂	semidirect
21. C₆₁×#3204	C₂	semidirect
22. C₆₁×#3203	C₂	semidirect
23. C₆₁×#3201	C₂	semidirect
24. C₆₁×#3198	C₂	semidirect
25. C₆₁×#3102	C₂	semidirect
26. C₆₁×#3102	C₂	semidirect
27. C₆₁×#3099	C₂	semidirect
28. C₆₁×#3098	C₂	semidirect
29. C₆₁×#3097	C₂	semidirect
30. C₆₁×#3096	C₂	semidirect
31. C₆₁×#2979	C₂	semidirect
43. C₆₁×#553	C₂²	semidirect
44. C₆₁×#553	C₂²	semidirect
49. C₆₁×#552	C₂²	semidirect
50. C₆₁×#552	C₂²	semidirect
65. C₆₁×#537	C₂²	semidirect
73. C₂×#125×C₆₁	C₂²	semidirect
75. C₆₁×#520	C₂²	semidirect
76. C₄×#41×C₆₁	C₂²	semidirect
77. C₆₁×#499	C₂²	semidirect
78. C₆₁×#499	C₂²	semidirect
79. C₆₁×#499	C₂²	semidirect
80. C₆₁×#499	C₂²	semidirect
88. C₆₁×#485	C₂²	semidirect
89. C₆₁×#485	C₂²	semidirect
90. C₆₁×#485	C₂²	semidirect
91. C₆₁×#485	C₂²	semidirect
92. C₆₁×#485	C₂²	semidirect
94. C₆₁×#484	C₂²	semidirect
95. C₆₁×#484	C₂²	semidirect
96. C₆₁×#484	C₂²	semidirect
97. C₆₁×#484	C₂²	semidirect
99. C₆₁×#483	C₂²	semidirect
100. C₆₁×#483	C₂²	semidirect
101. C₆₁×#483	C₂²	semidirect
102. C₆₁×#483	C₂²	semidirect
110. C₆₁×#482	C₂²	semidirect
115. C₆₁×#481	C₂²	semidirect
120. C₆₁×#480	C₂²	semidirect
121. C₆₁×#479	C₂²	semidirect
122. C₆₁×#479	C₂²	semidirect
123. C₆₁×#479	C₂²	semidirect
124. C₆₁×#479	C₂²	semidirect
125. C₆₁×#479	C₂²	semidirect
126. C₆₁×#479	C₂²	semidirect
131. C₆₁×#478	C₂²	semidirect
132. C₆₁×#478	C₂²	semidirect
134. C₆₁×#470	C₂²	semidirect
140. C₆₁×#468	C₂²	semidirect
142. C₆₁×#467	C₂²	semidirect
148. C₆₁×#465	C₂²	semidirect
155. C₆₁×#452	C₂²	semidirect
156. C₆₁×#452	C₂²	semidirect
157. C₆₁×#451	C₂²	semidirect
163. C₆₁×#448	C₂²	semidirect
165. C₄×Q₁₆×C₆₁	C₂²	semidirect
166. C₄×Q₁₆×C₆₁	C₂²	semidirect
169. C₄×SD₁₆×C₆₁	C₂²	semidirect
170. C₄×SD₁₆×C₆₁	C₂²	semidirect
175. C₆₁×#436	C₂²	semidirect
176. C₆₁×#436	C₂²	semidirect
179. C₈×D₄×C₆₁	C₂²	semidirect
180. C₈×D₄×C₆₁	C₂²	semidirect
181. C₆₁×#431	C₂²	semidirect
182. C₆₁×#431	C₂²	semidirect
184. C₆₁×#428	C₂²	semidirect
185. C₆₁×#428	C₂²	semidirect
186. C₆₁×#428	C₂²	semidirect
188. C₆₁×#427	C₂²	semidirect
189. C₂×#107×C₆₁	C₂²	semidirect
190. C₂×#106×C₆₁	C₂²	semidirect
191. C₆₁×#419	C₂²	semidirect
197. C₂×#103×C₆₁	C₂²	semidirect
201. C₆₁×#408	C₂²	semidirect
202. C₆₁×#408	C₂²	semidirect
788. #61790	C₆₁	direct (N × H)
839. #3551	C₂×C₆₁	semidirect
840. #3512	C₂×C₆₁	semidirect
841. #3355	C₂×C₆₁	semidirect
842. #3352	C₂×C₆₁	semidirect
843. #3351	C₂×C₆₁	semidirect
844. #3351	C₂×C₆₁	semidirect
845. #3339	C₂×C₆₁	semidirect
846. #3337	C₂×C₆₁	semidirect
847. #3337	C₂×C₆₁	semidirect
848. #3336	C₂×C₆₁	semidirect
849. #3327	C₂×C₆₁	semidirect
850. #3326	C₂×C₆₁	semidirect
851. #3323	C₂×C₆₁	semidirect
852. #3322	C₂×C₆₁	semidirect
853. #3301	C₂×C₆₁	semidirect
854. #3300	C₂×C₆₁	semidirect
855. #3297	C₂×C₆₁	semidirect
856. #3296	C₂×C₆₁	semidirect
857. #3232	C₂×C₆₁	semidirect
858. #3232	C₂×C₆₁	semidirect
859. #3204	C₂×C₆₁	semidirect
860. #3203	C₂×C₆₁	semidirect
861. #3201	C₂×C₆₁	semidirect
862. #3198	C₂×C₆₁	semidirect
863. #3102	C₂×C₆₁	semidirect
864. #3102	C₂×C₆₁	semidirect
865. #3099	C₂×C₆₁	semidirect
866. #3098	C₂×C₆₁	semidirect
867. #3097	C₂×C₆₁	semidirect
868. #3096	C₂×C₆₁	semidirect
869. #2979	C₂×C₆₁	semidirect
892. #553	C₂²×C₆₁	semidirect
893. #553	C₂²×C₆₁	semidirect
898. #552	C₂²×C₆₁	semidirect
899. #552	C₂²×C₆₁	semidirect
914. #537	C₂²×C₆₁	semidirect
922. C₂×#125	C₂²×C₆₁	semidirect
924. #520	C₂²×C₆₁	semidirect
925. C₄×#41	C₂²×C₆₁	semidirect
926. #499	C₂²×C₆₁	semidirect
927. #499	C₂²×C₆₁	semidirect
928. #499	C₂²×C₆₁	semidirect
929. #499	C₂²×C₆₁	semidirect
937. #485	C₂²×C₆₁	semidirect
938. #485	C₂²×C₆₁	semidirect
939. #485	C₂²×C₆₁	semidirect
940. #485	C₂²×C₆₁	semidirect
941. #485	C₂²×C₆₁	semidirect
943. #484	C₂²×C₆₁	semidirect
944. #484	C₂²×C₆₁	semidirect
945. #484	C₂²×C₆₁	semidirect
946. #484	C₂²×C₆₁	semidirect
948. #483	C₂²×C₆₁	semidirect
949. #483	C₂²×C₆₁	semidirect
950. #483	C₂²×C₆₁	semidirect
951. #483	C₂²×C₆₁	semidirect
959. #482	C₂²×C₆₁	semidirect
964. #481	C₂²×C₆₁	semidirect
969. #480	C₂²×C₆₁	semidirect
970. #479	C₂²×C₆₁	semidirect
971. #479	C₂²×C₆₁	semidirect
972. #479	C₂²×C₆₁	semidirect
973. #479	C₂²×C₆₁	semidirect
974. #479	C₂²×C₆₁	semidirect
975. #479	C₂²×C₆₁	semidirect
980. #478	C₂²×C₆₁	semidirect
981. #478	C₂²×C₆₁	semidirect
983. #470	C₂²×C₆₁	semidirect
989. #468	C₂²×C₆₁	semidirect
991. #467	C₂²×C₆₁	semidirect
997. #465	C₂²×C₆₁	semidirect
1004. #452	C₂²×C₆₁	semidirect
1005. #452	C₂²×C₆₁	semidirect
1006. #451	C₂²×C₆₁	semidirect
1012. #448	C₂²×C₆₁	semidirect
1014. C₄×Q₁₆	C₂²×C₆₁	semidirect
1015. C₄×Q₁₆	C₂²×C₆₁	semidirect
1018. C₄×SD₁₆	C₂²×C₆₁	semidirect
1019. C₄×SD₁₆	C₂²×C₆₁	semidirect
1024. #436	C₂²×C₆₁	semidirect
1025. #436	C₂²×C₆₁	semidirect
1028. C₈×D₄	C₂²×C₆₁	semidirect
1029. C₈×D₄	C₂²×C₆₁	semidirect
1030. #431	C₂²×C₆₁	semidirect
1031. #431	C₂²×C₆₁	semidirect
1033. #428	C₂²×C₆₁	semidirect
1034. #428	C₂²×C₆₁	semidirect
1035. #428	C₂²×C₆₁	semidirect
1037. #427	C₂²×C₆₁	semidirect
1038. C₂×#107	C₂²×C₆₁	semidirect
1039. C₂×#106	C₂²×C₆₁	semidirect
1040. #419	C₂²×C₆₁	semidirect
1046. C₂×#103	C₂²×C₆₁	semidirect
1050. #408	C₂²×C₆₁	semidirect
1051. #408	C₂²×C₆₁	semidirect
1052. C₆₁	#61790	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×#3551	2
C₆₁×#3512	2
C₆₁×#3355	2
C₆₁×#3352	2
C₆₁×#3351	2
C₆₁×#3339	2
C₆₁×#3337	2
C₆₁×#3336	2
C₆₁×#3327	2
C₆₁×#3326	2
C₆₁×#3323	2
C₆₁×#3322	2
C₆₁×#3301	2
C₆₁×#3300	2
C₆₁×#3297	2
C₆₁×#3296	2
C₆₁×#3232	2
C₆₁×#3204	2
C₆₁×#3203	2
C₆₁×#3201	2
C₆₁×#3198	2
C₆₁×#3102	2
C₆₁×#3099	2
C₆₁×#3098	2
C₆₁×#3097	2
C₆₁×#3096	2
C₆₁×#2979	2
#61790	61

Subgroups — C61×#61790 #29565223

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61790 #29565223