Subgroups — C₆₁×#61445 #29564878

Order 15616.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3482	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3351	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3345	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3344	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3326	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3306	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3275	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3172	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3168	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3108	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3105	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3103	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×#3101	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#2965	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#137×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×AGL(1,ℤ/8)×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×SD₁₆×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic
33	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic
34	C₂²×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
35	C₆₁×#559	C₂²	1	1	yes	characteristic
36	C₆₁×#557	C₂²	1	1	yes	characteristic, complemented
37	C₆₁×#556	—	2	1	no	—
38	C₆₁×#556	C₂²	1	1	yes	characteristic, complemented
39	C₆₁×#554	C₂²	1	1	yes	characteristic
40	C₆₁×#554	C₂²	1	1	yes	characteristic
41	C₆₁×#553	—	2	1	no	—
42	C₆₁×#553	C₂²	1	1	yes	characteristic
43	C₆₁×#553	C₂²	1	1	yes	characteristic
44	C₆₁×#552	—	2	1	no	—
45	C₆₁×#552	—	2	1	no	—
46	C₆₁×#552	C₂²	1	1	yes	characteristic
47	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
48	C₆₁×#551	—	2	1	no	—
49	C₆₁×#551	—	2	1	no	—
50	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
51	C₆₁×#548	C₂²	1	1	yes	characteristic
52	C₆₁×#548	C₂²	1	1	yes	characteristic, complemented
53	C₆₁×#547	—	2	1	no	—
54	C₆₁×#547	C₂²	1	1	yes	characteristic, complemented
55	C₆₁×#546	—	2	1	no	—
56	C₆₁×#546	C₂²	1	1	yes	characteristic
57	C₆₁×#546	C₂²	1	1	yes	characteristic
58	D₄²×C₆₁	C₂²	1	1	yes	characteristic
59	C₆₁×#533	—	2	1	no	—
60	C₆₁×#533	C₂²	1	1	yes	characteristic, complemented
61	C₆₁×#532	C₂²	1	1	yes	characteristic
62	C₆₁×#529	—	2	1	no	—
63	C₆₁×#529	—	2	1	no	—
64	C₆₁×#529	—	2	1	no	—
65	C₆₁×#529	C₂²	1	1	yes	characteristic
66	C₆₁×#529	C₂²	1	1	yes	characteristic
67	C₆₁×#529	C₂²	1	1	yes	characteristic, complemented
68	C₆₁×#529	C₂²	1	1	yes	characteristic, complemented
69	C₆₁×#525	—	2	1	no	—
70	C₆₁×#525	—	2	1	no	—
71	C₄×#41×C₆₁	—	2	1	no	—
72	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
73	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
74	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×D₄×C₆₁	—	2	1	no	—
78	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
80	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
81	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
82	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
83	C₆₁×#497	C₂²	1	1	yes	characteristic, complemented
84	C₆₁×#496	C₂²	1	1	yes	characteristic
85	C₆₁×#495	C₂²	1	1	yes	characteristic, complemented
86	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
87	C₆₁×#490	C₂²	1	1	yes	characteristic
88	C₆₁×#489	C₂²	1	1	yes	characteristic, complemented
89	C₆₁×#489	C₂²	1	1	yes	characteristic, complemented
90	C₆₁×#488	C₂²	1	1	yes	characteristic, complemented
91	C₆₁×#488	C₂²	1	1	yes	characteristic, complemented
92	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
93	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
94	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
95	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
96	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
97	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
98	C₆₁×#482	C₂²	1	1	yes	characteristic
99	C₆₁×#482	C₂²	1	1	yes	characteristic, complemented
100	C₆₁×#481	C₂²	1	1	yes	characteristic, complemented
101	C₆₁×#481	C₂²	1	1	yes	characteristic, complemented
102	C₆₁×#481	C₂²	1	1	yes	characteristic, complemented
103	C₆₁×#480	C₂²	1	1	yes	characteristic
104	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
108	C₆₁×#478	C₂²	1	1	yes	characteristic
109	C₆₁×#478	C₂²	1	1	yes	characteristic
110	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
111	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
112	C₆₁×#476	C₂²	1	1	yes	characteristic
113	C₆₁×#476	C₂²	1	1	yes	characteristic, complemented
114	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
115	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
116	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
117	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
118	C₆₁×#469	C₂²	1	1	yes	characteristic, complemented
119	C₆₁×#469	C₂²	1	1	yes	characteristic, complemented
120	C₆₁×#468	C₂²	1	1	yes	characteristic
121	C₆₁×#468	C₂²	1	1	yes	characteristic
122	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
123	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
124	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
125	C₆₁×#466	C₂²	1	1	yes	characteristic
126	C₆₁×#465	C₂²	1	1	yes	characteristic
127	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
128	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
129	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
130	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
131	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
132	C₆₁×#463	C₂²	1	1	yes	characteristic
133	C₆₁×#463	C₂²	1	1	yes	characteristic
134	C₆₁×#463	C₂²	1	1	yes	characteristic, complemented
135	C₆₁×#463	C₂²	1	1	yes	characteristic, complemented
136	C₆₁×#461	C₂²	1	1	yes	characteristic
137	C₆₁×#461	C₂²	1	1	yes	characteristic, complemented
138	C₆₁×#460	C₂²	1	1	yes	characteristic
139	C₆₁×#460	C₂²	1	1	yes	characteristic
140	C₆₁×#452	C₂²	1	1	yes	characteristic
141	C₆₁×#452	C₂²	1	1	yes	characteristic, complemented
142	C₆₁×#451	C₂²	1	1	yes	characteristic, complemented
143	C₆₁×#450	C₂²	1	1	yes	characteristic
144	C₆₁×#450	C₂²	1	1	yes	characteristic
145	C₆₁×#450	C₂²	1	1	yes	characteristic
146	C₆₁×#449	C₂²	1	1	yes	characteristic
147	C₆₁×#449	C₂²	1	1	yes	characteristic
148	C₆₁×#448	C₂²	1	1	yes	characteristic
149	C₆₁×#448	C₂²	1	1	yes	characteristic, complemented
150	C₆₁×#448	C₂²	1	1	yes	characteristic, complemented
151	C₆₁×#447	C₂²	1	1	yes	characteristic
152	C₆₁×#446	C₂²	1	1	yes	characteristic, complemented
153	C₆₁×#446	C₂²	1	1	yes	characteristic, complemented
154	C₆₁×#442	C₂²	1	1	yes	characteristic
155	C₆₁×#442	C₂²	1	1	yes	characteristic, complemented
156	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
157	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
158	C₆₁×#440	C₂²	1	1	yes	characteristic
159	C₆₁×#440	C₂²	1	1	yes	characteristic
160	C₆₁×#440	C₂²	1	1	yes	characteristic
161	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
162	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
163	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
164	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
165	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
166	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
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
170	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
172	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
174	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
177	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
179	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
180	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
182	C₆₁×#436	C₂²	1	1	yes	characteristic, complemented
183	C₆₁×#436	C₂²	1	1	yes	characteristic, complemented
184	C₆₁×#435	C₂²	1	1	yes	characteristic
185	C₆₁×#435	C₂²	1	1	yes	characteristic
186	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
187	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
188	C₆₁×#431	C₂²	1	1	yes	characteristic, complemented
189	C₆₁×#431	C₂²	1	1	yes	characteristic, complemented
190	C₆₁×#431	C₂²	1	1	yes	characteristic, complemented
191	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
192	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
193	C₂×#106×C₆₁	C₂²	1	1	yes	characteristic, complemented
194	C₆₁×#419	C₂²	1	1	yes	characteristic, complemented
195	C₆₁×#418	C₂²	1	1	yes	characteristic
196	C₆₁×#417	C₂²	1	1	yes	characteristic
197	C₆₁×#417	C₂²	1	1	yes	characteristic, complemented
198	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic, complemented
199	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
200	C₄×M₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
201	C₄×M₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₆₁	—	2	1	no	—
204	C₂×#41×C₆₁	—	2	1	no	—
205	C₂×#41×C₆₁	D₄	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×Q₈×C₆₁	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₆₁	—	2	1	no	—
211	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₆₁	—	2	1	no	—
214	C₂³×C₄×C₆₁	—	2	1	no	—
215	#137×C₆₁	—	2	4	no	—
216	AGL(1,ℤ/8)×C₆₁	—	2	4	no	—
217	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₆₁	—	2	4	no	—
221	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
231	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
232	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
233	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
234	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
235	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
236	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
237	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈×C₆₁	—	2	1	no	—
241	C₄⋊Q₈×C₆₁	—	2	1	no	—
242	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
243	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
244	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
245	#127×C₆₁	C₂³	1	1	yes	characteristic
246	#126×C₆₁	—	2	1	no	—
247	#126×C₆₁	—	2	1	no	—
248	#126×C₆₁	—	2	1	no	—
249	#126×C₆₁	—	2	1	no	—
250	#126×C₆₁	—	2	1	no	—
251	#126×C₆₁	—	2	1	no	—
252	#126×C₆₁	—	2	1	no	—
253	#126×C₆₁	—	2	1	no	—
254	#126×C₆₁	—	2	1	no	—
255	#126×C₆₁	—	2	1	no	—
256	#125×C₆₁	—	2	1	no	—
257	#125×C₆₁	—	2	1	no	—
258	#125×C₆₁	—	2	1	no	—
259	#125×C₆₁	—	2	1	no	—
260	#125×C₆₁	—	2	1	no	—
261	#125×C₆₁	—	2	1	no	—
262	#125×C₆₁	C₂³	1	1	yes	characteristic
263	#125×C₆₁	C₂³	1	1	yes	characteristic
264	#125×C₆₁	C₂³	1	1	yes	characteristic
265	#125×C₆₁	C₂³	1	1	yes	characteristic
266	#124×C₆₁	—	2	1	no	—
267	#124×C₆₁	—	2	1	no	—
268	#124×C₆₁	—	2	1	no	—
269	#124×C₆₁	—	2	1	no	—
270	#124×C₆₁	C₂³	1	1	yes	characteristic
271	#124×C₆₁	C₂³	1	1	yes	characteristic
272	#124×C₆₁	C₂³	1	1	yes	characteristic
273	#124×C₆₁	C₂³	1	1	yes	characteristic
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	#123×C₆₁	—	2	1	no	—
285	#123×C₆₁	—	2	1	no	—
286	#123×C₆₁	—	2	1	no	—
287	#123×C₆₁	—	2	1	no	—
288	C₂²⋊Q₈×C₆₁	—	2	1	no	—
289	C₂²⋊Q₈×C₆₁	—	2	1	no	—
290	C₂²⋊Q₈×C₆₁	—	2	1	no	—
291	C₂²⋊Q₈×C₆₁	—	2	1	no	—
292	C₂²⋊Q₈×C₆₁	—	2	1	no	—
293	C₂²⋊Q₈×C₆₁	—	2	1	no	—
294	C₂²⋊Q₈×C₆₁	—	2	1	no	—
295	C₂²⋊Q₈×C₆₁	—	2	1	no	—
296	C₂²⋊Q₈×C₆₁	—	2	1	no	—
297	C₂²⋊Q₈×C₆₁	—	2	1	no	—
298	C₂²⋊Q₈×C₆₁	—	2	1	no	—
299	C₂²⋊Q₈×C₆₁	—	2	1	no	—
300	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
301	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
302	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
303	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
304	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
305	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
315	#121×C₆₁	C₂³	1	1	yes	characteristic
316	#121×C₆₁	C₂³	1	1	yes	characteristic
317	#121×C₆₁	C₂³	1	1	yes	characteristic
318	#121×C₆₁	C₂³	1	1	yes	characteristic
319	#121×C₆₁	C₂³	1	1	yes	characteristic
320	#120×C₆₁	—	2	1	no	—
321	#120×C₆₁	—	2	1	no	—
322	#120×C₆₁	—	2	1	no	—
323	#120×C₆₁	—	2	1	no	—
324	C₄×Q₈×C₆₁	—	2	1	no	—
325	C₄×Q₈×C₆₁	—	2	1	no	—
326	C₄×Q₈×C₆₁	—	2	1	no	—
327	C₄×Q₈×C₆₁	—	2	1	no	—
328	C₄×Q₈×C₆₁	—	2	1	no	—
329	C₄×Q₈×C₆₁	—	2	1	no	—
330	C₄×Q₈×C₆₁	D₄	1	1	yes	characteristic
331	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
335	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
336	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
339	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
342	C₄×D₄×C₆₁	—	2	1	no	—
343	C₄×D₄×C₆₁	—	2	1	no	—
344	C₄×D₄×C₆₁	—	2	1	no	—
345	C₄×D₄×C₆₁	—	2	1	no	—
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	D₄	1	1	yes	characteristic
363	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
364	C₄×D₄×C₆₁	D₄	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	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
378	#117×C₆₁	—	2	1	no	—
379	#117×C₆₁	—	2	1	no	—
380	#117×C₆₁	—	2	1	no	—
381	#117×C₆₁	—	2	1	no	—
382	#117×C₆₁	—	2	1	no	—
383	#117×C₆₁	—	2	1	no	—
384	#117×C₆₁	—	2	1	no	—
385	#117×C₆₁	—	2	1	no	—
386	#117×C₆₁	—	2	1	no	—
387	#117×C₆₁	—	2	1	no	—
388	#117×C₆₁	D₄	1	1	yes	characteristic
389	#117×C₆₁	D₄	1	1	yes	characteristic
390	#117×C₆₁	D₄	1	1	yes	characteristic
391	#117×C₆₁	C₂³	1	1	yes	characteristic
392	#117×C₆₁	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
394	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
395	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
396	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
400	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
403	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
404	C₂×C₄²×C₆₁	—	2	1	no	—
405	C₂×C₄²×C₆₁	—	2	1	no	—
406	C₂×C₄²×C₆₁	—	2	1	no	—
407	C₂×C₄²×C₆₁	—	2	1	no	—
408	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
409	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
410	C₂×C₄²×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	#107×C₆₁	C₂³	1	1	yes	characteristic
415	#107×C₆₁	C₂³	1	1	yes	characteristic
416	#107×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	#106×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	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×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	#103×C₆₁	C₂³	1	1	yes	characteristic
447	#103×C₆₁	C₂³	1	1	yes	characteristic
448	#103×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	#102×C₆₁	C₂³	1	1	yes	characteristic
463	#102×C₆₁	C₂³	1	1	yes	characteristic
464	#102×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	#97×C₆₁	C₂³	1	1	yes	characteristic
472	#97×C₆₁	C₂³	1	1	yes	characteristic
473	#97×C₆₁	C₂³	1	1	yes	characteristic
474	#97×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	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
481	C₂⁴×C₆₁	—	2	1	no	—
482	C₂⁴×C₆₁	—	2	1	no	—
483	#41×C₆₁	—	2	2	no	—
484	#41×C₆₁	—	2	2	no	—
485	#41×C₆₁	—	4	2	no	—
486	#41×C₆₁	—	4	1	no	—
487	#41×C₆₁	—	4	1	no	—
488	#41×C₆₁	—	4	4	no	—
489	#41×C₆₁	—	8	2	no	—
490	C₂×Q₈×C₆₁	—	2	1	no	—
491	C₂×Q₈×C₆₁	—	2	1	no	—
492	C₂×Q₈×C₆₁	—	2	1	no	—
493	C₂×Q₈×C₆₁	—	2	1	no	—
494	C₂×Q₈×C₆₁	—	2	2	no	—
495	C₂×Q₈×C₆₁	—	2	2	no	—
496	C₂×Q₈×C₆₁	—	4	1	no	—
497	C₂×Q₈×C₆₁	—	4	1	no	—
498	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
499	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₆₁	—	2	2	no	—
504	C₂×D₄×C₆₁	—	2	2	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	—	2	1	no	—
512	C₂×D₄×C₆₁	—	2	1	no	—
513	C₂×D₄×C₆₁	—	2	1	no	—
514	C₂×D₄×C₆₁	—	2	1	no	—
515	C₂×D₄×C₆₁	—	2	1	no	—
516	C₂×D₄×C₆₁	—	2	1	no	—
517	C₂×D₄×C₆₁	—	4	1	no	—
518	C₂×D₄×C₆₁	—	4	1	no	—
519	C₂×D₄×C₆₁	—	4	4	no	—
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	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
543	C₂²×C₄×C₆₁	—	2	1	no	—
544	C₂²×C₄×C₆₁	—	2	1	no	—
545	C₂²×C₄×C₆₁	—	8	2	no	—
546	C₂²×C₄×C₆₁	—	8	2	no	—
547	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
552	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
553	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
556	Q₁₆×C₆₁	—	2	2	no	—
557	Q₁₆×C₆₁	—	2	2	no	—
558	Q₁₆×C₆₁	—	4	1	no	—
559	SD₁₆×C₆₁	—	2	2	no	—
560	SD₁₆×C₆₁	—	2	2	no	—
561	SD₁₆×C₆₁	—	2	2	no	—
562	SD₁₆×C₆₁	—	2	2	no	—
563	SD₁₆×C₆₁	—	2	2	no	—
564	SD₁₆×C₆₁	—	4	1	no	—
565	SD₁₆×C₆₁	—	4	1	no	—
566	SD₁₆×C₆₁	—	4	1	no	—
567	SD₁₆×C₆₁	—	4	1	no	—
568	SD₁₆×C₆₁	#41	1	4	yes	complemented
569	D₈×C₆₁	—	2	2	no	—
570	D₈×C₆₁	—	2	2	no	—
571	D₈×C₆₁	—	4	1	no	—
572	M₁₆×C₆₁	—	2	2	no	—
573	M₁₆×C₆₁	—	2	2	no	—
574	M₁₆×C₆₁	—	4	1	no	—
575	M₁₆×C₆₁	—	4	1	no	—
576	C₂×C₈×C₆₁	—	2	2	no	—
577	C₂×C₈×C₆₁	—	4	1	no	—
578	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
608	C₄⋊C₄×C₆₁	—	2	1	no	—
609	C₄⋊C₄×C₆₁	—	2	1	no	—
610	C₄⋊C₄×C₆₁	—	2	1	no	—
611	C₄⋊C₄×C₆₁	—	2	1	no	—
612	C₄⋊C₄×C₆₁	—	2	1	no	—
613	C₄⋊C₄×C₆₁	—	2	1	no	—
614	C₄⋊C₄×C₆₁	—	2	1	no	—
615	C₄⋊C₄×C₆₁	—	2	1	no	—
616	C₄⋊C₄×C₆₁	—	2	1	no	—
617	C₄⋊C₄×C₆₁	—	2	1	no	—
618	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
622	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
623	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
624	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
631	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
657	C₂²⋊C₄×C₆₁	—	2	1	no	—
658	C₂²⋊C₄×C₆₁	—	2	1	no	—
659	C₂²⋊C₄×C₆₁	—	2	1	no	—
660	C₂²⋊C₄×C₆₁	—	2	1	no	—
661	C₂²⋊C₄×C₆₁	—	2	1	no	—
662	C₂²⋊C₄×C₆₁	—	2	1	no	—
663	C₂²⋊C₄×C₆₁	—	2	1	no	—
664	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
676	C₄²×C₆₁	—	2	1	no	—
677	C₄²×C₆₁	—	2	1	no	—
678	C₄²×C₆₁	—	2	1	no	—
679	C₄²×C₆₁	—	2	1	no	—
680	C₄²×C₆₁	—	2	1	no	—
681	C₄²×C₆₁	—	2	1	no	—
682	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
686	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
687	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
688	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
689	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
690	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
691	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
692	C₂³×C₆₁	—	2	1	no	—
693	C₂³×C₆₁	—	2	1	no	—
694	C₂³×C₆₁	—	2	1	no	—
695	C₂³×C₆₁	—	2	1	no	—
696	C₂³×C₆₁	—	4	2	no	—
697	C₂³×C₆₁	—	4	2	no	—
698	C₂³×C₆₁	—	4	2	no	—
699	C₂³×C₆₁	—	4	2	no	—
700	C₂³×C₆₁	—	8	1	no	—
701	C₂³×C₆₁	—	8	1	no	—
702	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
703	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
704	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
705	Q₈×C₆₁	—	2	1	no	—
706	Q₈×C₆₁	—	2	1	no	—
707	Q₈×C₆₁	—	2	1	no	—
708	Q₈×C₆₁	—	2	1	no	—
709	Q₈×C₆₁	—	2	1	no	—
710	Q₈×C₆₁	—	2	1	no	—
711	Q₈×C₆₁	—	2	1	no	—
712	Q₈×C₆₁	—	4	1	no	—
713	Q₈×C₆₁	—	4	2	no	—
714	Q₈×C₆₁	—	4	2	no	—
715	Q₈×C₆₁	—	4	2	no	—
716	Q₈×C₆₁	—	8	1	no	—
717	Q₈×C₆₁	C₂×#41	1	2	yes	—
718	D₄×C₆₁	—	2	2	no	—
719	D₄×C₆₁	—	2	2	no	—
720	D₄×C₆₁	—	2	1	no	—
721	D₄×C₆₁	—	2	1	no	—
722	D₄×C₆₁	—	2	1	no	—
723	D₄×C₆₁	—	2	1	no	—
724	D₄×C₆₁	—	2	1	no	—
725	D₄×C₆₁	—	2	1	no	—
726	D₄×C₆₁	—	2	1	no	—
727	D₄×C₆₁	—	4	1	no	—
728	D₄×C₆₁	—	4	2	no	—
729	D₄×C₆₁	—	4	2	no	—
730	D₄×C₆₁	—	4	2	no	—
731	D₄×C₆₁	—	4	2	no	—
732	D₄×C₆₁	—	4	2	no	—
733	D₄×C₆₁	—	4	2	no	—
734	D₄×C₆₁	—	4	2	no	—
735	D₄×C₆₁	—	4	2	no	—
736	D₄×C₆₁	—	4	2	no	—
737	D₄×C₆₁	—	8	1	no	—
738	D₄×C₆₁	—	8	1	no	—
739	D₄×C₆₁	—	8	1	no	—
740	D₄×C₆₁	C₂×#41	1	2	yes	—
741	C₂×C₄×C₆₁	—	2	2	no	—
742	C₂×C₄×C₆₁	—	2	1	no	—
743	C₂×C₄×C₆₁	—	2	2	no	—
744	C₂×C₄×C₆₁	—	2	2	no	—
745	C₂×C₄×C₆₁	—	2	2	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	—	2	1	no	—
753	C₂×C₄×C₆₁	—	2	1	no	—
754	C₂×C₄×C₆₁	—	2	1	no	—
755	C₂×C₄×C₆₁	—	2	1	no	—
756	C₂×C₄×C₆₁	—	2	1	no	—
757	C₂×C₄×C₆₁	—	2	1	no	—
758	C₂×C₄×C₆₁	—	2	1	no	—
759	C₂×C₄×C₆₁	—	2	1	no	—
760	C₂×C₄×C₆₁	—	2	1	no	—
761	C₂×C₄×C₆₁	—	2	1	no	—
762	C₂×C₄×C₆₁	—	2	1	no	—
763	C₂×C₄×C₆₁	—	4	1	no	—
764	C₂×C₄×C₆₁	—	4	1	no	—
765	C₂×C₄×C₆₁	—	4	2	no	—
766	C₂×C₄×C₆₁	—	4	2	no	—
767	C₂×C₄×C₆₁	—	4	2	no	—
768	C₂×C₄×C₆₁	—	4	2	no	—
769	C₂×C₄×C₆₁	—	4	2	no	—
770	C₂×C₄×C₆₁	—	4	2	no	—
771	C₂×C₄×C₆₁	—	4	2	no	—
772	C₂×C₄×C₆₁	—	4	2	no	—
773	C₂×C₄×C₆₁	—	4	2	no	—
774	C₂×C₄×C₆₁	—	4	2	no	—
775	C₂×C₄×C₆₁	—	4	2	no	—
776	C₂×C₄×C₆₁	—	4	2	no	—
777	C₂×C₄×C₆₁	—	8	1	no	—
778	C₂×C₄×C₆₁	—	8	1	no	—
779	C₂×C₄×C₆₁	—	8	1	no	—
780	C₂×C₄×C₆₁	—	8	1	no	—
781	C₂×C₄×C₆₁	—	8	1	no	—
782	C₂×C₄×C₆₁	—	8	1	no	—
783	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
795	C₈×C₆₁	—	2	1	no	—
796	C₈×C₆₁	—	2	1	no	—
797	C₈×C₆₁	—	2	1	no	—
798	C₈×C₆₁	—	2	1	no	—
799	C₈×C₆₁	—	2	1	no	—
800	C₈×C₆₁	—	2	1	no	—
801	C₈×C₆₁	—	2	1	no	—
802	C₈×C₆₁	C₂×#41	1	2	yes	—
803	#61445	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
804	C₂²×C₆₁	—	2	1	no	—
805	C₂²×C₆₁	—	2	1	no	—
806	C₂²×C₆₁	—	2	1	no	—
807	C₂²×C₆₁	—	2	1	no	—
808	C₂²×C₆₁	—	2	2	no	—
809	C₂²×C₆₁	—	2	1	no	—
810	C₂²×C₆₁	—	2	1	no	—
811	C₂²×C₆₁	—	2	1	no	—
812	C₂²×C₆₁	—	2	1	no	—
813	C₂²×C₆₁	—	4	1	no	—
814	C₂²×C₆₁	—	4	1	no	—
815	C₂²×C₆₁	—	4	1	no	—
816	C₂²×C₆₁	—	4	1	no	—
817	C₂²×C₆₁	—	4	1	no	—
818	C₂²×C₆₁	—	4	1	no	—
819	C₂²×C₆₁	—	4	1	no	—
820	C₂²×C₆₁	—	4	1	no	—
821	C₂²×C₆₁	—	4	1	no	—
822	C₂²×C₆₁	—	4	1	no	—
823	C₂²×C₆₁	—	4	1	no	—
824	C₂²×C₆₁	—	8	4	no	—
825	C₂²×C₆₁	—	8	4	no	—
826	C₂²×C₆₁	#575	1	2	yes	—
827	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
828	C₄×C₆₁	—	2	1	no	—
829	C₄×C₆₁	—	2	1	no	—
830	C₄×C₆₁	—	2	1	no	—
831	C₄×C₆₁	—	2	2	no	—
832	C₄×C₆₁	—	2	1	no	—
833	C₄×C₆₁	—	2	1	no	—
834	C₄×C₆₁	—	2	1	no	—
835	C₄×C₆₁	—	2	1	no	—
836	C₄×C₆₁	—	2	1	no	—
837	C₄×C₆₁	—	2	1	no	—
838	C₄×C₆₁	—	2	1	no	—
839	C₄×C₆₁	—	4	1	no	—
840	C₄×C₆₁	—	4	1	no	—
841	C₄×C₆₁	—	4	1	no	—
842	C₄×C₆₁	—	4	1	no	—
843	C₄×C₆₁	—	4	1	no	—
844	C₄×C₆₁	—	4	1	no	—
845	C₄×C₆₁	—	4	1	no	—
846	C₄×C₆₁	—	4	1	no	—
847	C₄×C₆₁	—	4	1	no	—
848	C₄×C₆₁	—	4	1	no	—
849	C₄×C₆₁	—	4	1	no	—
850	C₄×C₆₁	#577	1	2	yes	—
851	C₄×C₆₁	C₂²×#41	1	1	yes	characteristic
852	C₄×C₆₁	#585	1	1	yes	characteristic
853	#3482	C₂×C₆₁	1	1	yes	characteristic, complemented
854	#3481	C₂×C₆₁	1	1	yes	characteristic, complemented
855	#3401	C₂×C₆₁	1	1	yes	characteristic, complemented
856	#3388	C₂×C₆₁	1	1	yes	characteristic, complemented
857	#3376	C₂×C₆₁	1	1	yes	characteristic, complemented
858	#3371	C₂×C₆₁	1	1	yes	characteristic, complemented
859	#3351	C₂×C₆₁	1	1	yes	characteristic, complemented
860	#3345	C₂×C₆₁	1	1	yes	characteristic, complemented
861	#3344	C₂×C₆₁	1	1	yes	characteristic, complemented
862	#3326	C₂×C₆₁	1	1	yes	characteristic, complemented
863	#3323	C₂×C₆₁	1	1	yes	characteristic, complemented
864	#3320	C₂×C₆₁	1	1	yes	characteristic, complemented
865	#3316	C₂×C₆₁	1	1	yes	characteristic, complemented
866	#3310	C₂×C₆₁	1	1	yes	characteristic, complemented
867	#3306	C₂×C₆₁	1	1	yes	characteristic, complemented
868	#3275	C₂×C₆₁	1	1	yes	characteristic, complemented
869	#3266	C₂×C₆₁	1	1	yes	characteristic, complemented
870	#3265	C₂×C₆₁	1	1	yes	characteristic, complemented
871	#3172	C₂×C₆₁	1	1	yes	characteristic, complemented
872	#3171	C₂×C₆₁	1	1	yes	characteristic, complemented
873	#3168	C₂×C₆₁	1	1	yes	characteristic, complemented
874	#3108	C₂×C₆₁	1	1	yes	characteristic, complemented
875	#3105	C₂×C₆₁	1	1	yes	characteristic, complemented
876	#3103	C₂×C₆₁	1	1	yes	characteristic, complemented
877	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
878	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
879	#3101	C₂×C₆₁	1	1	yes	characteristic, complemented
880	#2965	C₂×C₆₁	1	1	yes	characteristic, complemented
881	C₄×#137	C₂×C₆₁	1	1	yes	characteristic, complemented
882	C₄×AGL(1,ℤ/8)	C₂×C₆₁	1	1	yes	characteristic, complemented
883	C₂×C₄×SD₁₆	C₂×C₆₁	1	1	yes	characteristic, complemented
884	C₂×C₆₁	—	2	2	no	—
885	C₂×C₆₁	—	4	1	no	—
886	C₂×C₆₁	—	4	1	no	—
887	C₂×C₆₁	—	4	2	no	—
888	C₂×C₆₁	—	8	1	no	—
889	C₂×C₆₁	—	8	1	no	—
890	C₂×C₆₁	—	8	1	no	—
891	C₂×C₆₁	D₄×#41	1	1	yes	characteristic
892	C₂×C₆₁	C₂×#575	1	1	yes	characteristic
893	C₂×C₆₁	C₂×#577	1	1	yes	characteristic
894	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic
895	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic
896	C₂²×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
897	#559	C₂²×C₆₁	1	1	yes	characteristic
898	#557	C₂²×C₆₁	1	1	yes	characteristic, complemented
899	#556	—	2	1	no	—
900	#556	C₂²×C₆₁	1	1	yes	characteristic, complemented
901	#554	C₂²×C₆₁	1	1	yes	characteristic
902	#554	C₂²×C₆₁	1	1	yes	characteristic
903	#553	—	2	1	no	—
904	#553	C₂²×C₆₁	1	1	yes	characteristic
905	#553	C₂²×C₆₁	1	1	yes	characteristic
906	#552	—	2	1	no	—
907	#552	—	2	1	no	—
908	#552	C₂²×C₆₁	1	1	yes	characteristic
909	#552	C₂²×C₆₁	1	1	yes	characteristic, complemented
910	#551	—	2	1	no	—
911	#551	—	2	1	no	—
912	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
913	#548	C₂²×C₆₁	1	1	yes	characteristic
914	#548	C₂²×C₆₁	1	1	yes	characteristic, complemented
915	#547	—	2	1	no	—
916	#547	C₂²×C₆₁	1	1	yes	characteristic, complemented
917	#546	—	2	1	no	—
918	#546	C₂²×C₆₁	1	1	yes	characteristic
919	#546	C₂²×C₆₁	1	1	yes	characteristic
920	D₄²	C₂²×C₆₁	1	1	yes	characteristic
921	#533	—	2	1	no	—
922	#533	C₂²×C₆₁	1	1	yes	characteristic, complemented
923	#532	C₂²×C₆₁	1	1	yes	characteristic
924	#529	—	2	1	no	—
925	#529	—	2	1	no	—
926	#529	—	2	1	no	—
927	#529	C₂²×C₆₁	1	1	yes	characteristic
928	#529	C₂²×C₆₁	1	1	yes	characteristic
929	#529	C₂²×C₆₁	1	1	yes	characteristic, complemented
930	#529	C₂²×C₆₁	1	1	yes	characteristic, complemented
931	#525	—	2	1	no	—
932	#525	—	2	1	no	—
933	C₄×#41	—	2	1	no	—
934	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
935	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
936	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
937	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
938	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
939	C₂×C₄×D₄	—	2	1	no	—
940	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
941	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
942	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
943	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
944	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
945	#497	C₂²×C₆₁	1	1	yes	characteristic, complemented
946	#496	C₂²×C₆₁	1	1	yes	characteristic
947	#495	C₂²×C₆₁	1	1	yes	characteristic, complemented
948	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
949	#490	C₂²×C₆₁	1	1	yes	characteristic
950	#489	C₂²×C₆₁	1	1	yes	characteristic, complemented
951	#489	C₂²×C₆₁	1	1	yes	characteristic, complemented
952	#488	C₂²×C₆₁	1	1	yes	characteristic, complemented
953	#488	C₂²×C₆₁	1	1	yes	characteristic, complemented
954	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
955	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
956	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
957	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
958	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
959	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
960	#482	C₂²×C₆₁	1	1	yes	characteristic
961	#482	C₂²×C₆₁	1	1	yes	characteristic, complemented
962	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
963	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
964	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
965	#480	C₂²×C₆₁	1	1	yes	characteristic
966	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
967	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
968	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
969	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
970	#478	C₂²×C₆₁	1	1	yes	characteristic
971	#478	C₂²×C₆₁	1	1	yes	characteristic
972	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
973	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
974	#476	C₂²×C₆₁	1	1	yes	characteristic
975	#476	C₂²×C₆₁	1	1	yes	characteristic, complemented
976	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
977	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
978	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
979	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
980	#469	C₂²×C₆₁	1	1	yes	characteristic, complemented
981	#469	C₂²×C₆₁	1	1	yes	characteristic, complemented
982	#468	C₂²×C₆₁	1	1	yes	characteristic
983	#468	C₂²×C₆₁	1	1	yes	characteristic
984	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
985	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
986	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
987	#466	C₂²×C₆₁	1	1	yes	characteristic
988	#465	C₂²×C₆₁	1	1	yes	characteristic
989	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
990	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
991	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
992	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
993	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
994	#463	C₂²×C₆₁	1	1	yes	characteristic
995	#463	C₂²×C₆₁	1	1	yes	characteristic
996	#463	C₂²×C₆₁	1	1	yes	characteristic, complemented
997	#463	C₂²×C₆₁	1	1	yes	characteristic, complemented
998	#461	C₂²×C₆₁	1	1	yes	characteristic
999	#461	C₂²×C₆₁	1	1	yes	characteristic, complemented
1000	#460	C₂²×C₆₁	1	1	yes	characteristic
1001	#460	C₂²×C₆₁	1	1	yes	characteristic
1002	#452	C₂²×C₆₁	1	1	yes	characteristic
1003	#452	C₂²×C₆₁	1	1	yes	characteristic, complemented
1004	#451	C₂²×C₆₁	1	1	yes	characteristic, complemented
1005	#450	C₂²×C₆₁	1	1	yes	characteristic
1006	#450	C₂²×C₆₁	1	1	yes	characteristic
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	#448	C₂²×C₆₁	1	1	yes	characteristic
1011	#448	C₂²×C₆₁	1	1	yes	characteristic, complemented
1012	#448	C₂²×C₆₁	1	1	yes	characteristic, complemented
1013	#447	C₂²×C₆₁	1	1	yes	characteristic
1014	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
1015	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
1016	#442	C₂²×C₆₁	1	1	yes	characteristic
1017	#442	C₂²×C₆₁	1	1	yes	characteristic, complemented
1018	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
1019	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
1020	#440	C₂²×C₆₁	1	1	yes	characteristic
1021	#440	C₂²×C₆₁	1	1	yes	characteristic
1022	#440	C₂²×C₆₁	1	1	yes	characteristic
1023	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1024	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1025	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1026	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1027	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1028	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1029	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1030	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1031	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1032	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1033	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1034	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1035	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1036	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1037	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1038	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1039	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1040	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1041	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1042	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1043	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1044	#436	C₂²×C₆₁	1	1	yes	characteristic, complemented
1045	#436	C₂²×C₆₁	1	1	yes	characteristic, complemented
1046	#435	C₂²×C₆₁	1	1	yes	characteristic
1047	#435	C₂²×C₆₁	1	1	yes	characteristic
1048	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1049	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1050	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
1051	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
1052	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
1053	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1054	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1055	C₂×#106	C₂²×C₆₁	1	1	yes	characteristic, complemented
1056	#419	C₂²×C₆₁	1	1	yes	characteristic, complemented
1057	#418	C₂²×C₆₁	1	1	yes	characteristic
1058	#417	C₂²×C₆₁	1	1	yes	characteristic
1059	#417	C₂²×C₆₁	1	1	yes	characteristic, complemented
1060	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic, complemented
1061	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
1062	C₄×M₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1063	C₄×M₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1064	C₂×C₄×C₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1065	C₆₁	#61445	1	1	yes	characteristic, direct product factor, Sylow
1066	C₂×#41	—	2	1	no	—
1067	C₂×#41	—	2	1	no	—
1068	C₂×#41	D₄×C₆₁	1	1	yes	characteristic
1069	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1070	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1071	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1072	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1073	C₂²×D₄	—	2	1	no	—
1074	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1075	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1076	C₂³×C₄	—	2	1	no	—
1077	C₂³×C₄	—	2	1	no	—
1078	#137	—	2	4	no	—
1079	AGL(1,ℤ/8)	—	2	4	no	—
1080	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1081	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1082	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1083	C₂×SD₁₆	—	2	4	no	—
1084	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1085	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1086	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1087	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1088	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1089	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1094	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1095	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1096	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1097	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1098	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1099	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1100	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1101	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1102	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1103	C₄⋊Q₈	—	2	1	no	—
1104	C₄⋊Q₈	—	2	1	no	—
1105	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1106	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1107	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1108	#127	C₂³×C₆₁	1	1	yes	characteristic
1109	#126	—	2	1	no	—
1110	#126	—	2	1	no	—
1111	#126	—	2	1	no	—
1112	#126	—	2	1	no	—
1113	#126	—	2	1	no	—
1114	#126	—	2	1	no	—
1115	#126	—	2	1	no	—
1116	#126	—	2	1	no	—
1117	#126	—	2	1	no	—
1118	#126	—	2	1	no	—
1119	#125	—	2	1	no	—
1120	#125	—	2	1	no	—
1121	#125	—	2	1	no	—
1122	#125	—	2	1	no	—
1123	#125	—	2	1	no	—
1124	#125	—	2	1	no	—
1125	#125	C₂³×C₆₁	1	1	yes	characteristic
1126	#125	C₂³×C₆₁	1	1	yes	characteristic
1127	#125	C₂³×C₆₁	1	1	yes	characteristic
1128	#125	C₂³×C₆₁	1	1	yes	characteristic
1129	#124	—	2	1	no	—
1130	#124	—	2	1	no	—
1131	#124	—	2	1	no	—
1132	#124	—	2	1	no	—
1133	#124	C₂³×C₆₁	1	1	yes	characteristic
1134	#124	C₂³×C₆₁	1	1	yes	characteristic
1135	#124	C₂³×C₆₁	1	1	yes	characteristic
1136	#124	C₂³×C₆₁	1	1	yes	characteristic
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	2	1	no	—
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1165	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1166	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1168	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
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	#120	—	2	1	no	—
1184	#120	—	2	1	no	—
1185	#120	—	2	1	no	—
1186	#120	—	2	1	no	—
1187	C₄×Q₈	—	2	1	no	—
1188	C₄×Q₈	—	2	1	no	—
1189	C₄×Q₈	—	2	1	no	—
1190	C₄×Q₈	—	2	1	no	—
1191	C₄×Q₈	—	2	1	no	—
1192	C₄×Q₈	—	2	1	no	—
1193	C₄×Q₈	D₄×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×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1197	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1198	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1199	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1200	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1201	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1202	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1203	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1204	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1226	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1227	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1241	#117	—	2	1	no	—
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	—	2	1	no	—
1246	#117	—	2	1	no	—
1247	#117	—	2	1	no	—
1248	#117	—	2	1	no	—
1249	#117	—	2	1	no	—
1250	#117	—	2	1	no	—
1251	#117	D₄×C₆₁	1	1	yes	characteristic
1252	#117	D₄×C₆₁	1	1	yes	characteristic
1253	#117	D₄×C₆₁	1	1	yes	characteristic
1254	#117	C₂³×C₆₁	1	1	yes	characteristic
1255	#117	C₂³×C₆₁	1	1	yes	characteristic
1256	C₂×C₄⋊C₄	—	2	1	no	—
1257	C₂×C₄⋊C₄	—	2	1	no	—
1258	C₂×C₄⋊C₄	—	2	1	no	—
1259	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1260	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1261	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1262	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1263	C₂×C₂²⋊C₄	—	2	1	no	—
1264	C₂×C₂²⋊C₄	—	2	1	no	—
1265	C₂×C₂²⋊C₄	—	2	1	no	—
1266	C₂×C₂²⋊C₄	—	2	1	no	—
1267	C₂×C₄²	—	2	1	no	—
1268	C₂×C₄²	—	2	1	no	—
1269	C₂×C₄²	—	2	1	no	—
1270	C₂×C₄²	—	2	1	no	—
1271	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1272	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1273	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1274	#107	C₂³×C₆₁	1	1	yes	characteristic
1275	#107	C₂³×C₆₁	1	1	yes	characteristic
1276	#107	C₂³×C₆₁	1	1	yes	characteristic
1277	#107	C₂³×C₆₁	1	1	yes	characteristic
1278	#107	C₂³×C₆₁	1	1	yes	characteristic
1279	#107	C₂³×C₆₁	1	1	yes	characteristic
1280	#106	C₂³×C₆₁	1	1	yes	characteristic
1281	#106	C₂³×C₆₁	1	1	yes	characteristic
1282	#106	C₂³×C₆₁	1	1	yes	characteristic
1283	#106	C₂³×C₆₁	1	1	yes	characteristic
1284	#106	C₂³×C₆₁	1	1	yes	characteristic
1285	#106	C₂³×C₆₁	1	1	yes	characteristic
1286	#106	C₂³×C₆₁	1	1	yes	characteristic
1287	#106	C₂³×C₆₁	1	1	yes	characteristic
1288	#106	C₂³×C₆₁	1	1	yes	characteristic
1289	#106	C₂³×C₆₁	1	1	yes	characteristic
1290	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1291	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1292	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1293	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1294	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1295	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1296	#103	C₂³×C₆₁	1	1	yes	characteristic
1297	#103	C₂³×C₆₁	1	1	yes	characteristic
1298	#103	C₂³×C₆₁	1	1	yes	characteristic
1299	#103	C₂³×C₆₁	1	1	yes	characteristic
1300	#103	C₂³×C₆₁	1	1	yes	characteristic
1301	#103	C₂³×C₆₁	1	1	yes	characteristic
1302	#103	C₂³×C₆₁	1	1	yes	characteristic
1303	#103	C₂³×C₆₁	1	1	yes	characteristic
1304	#103	C₂³×C₆₁	1	1	yes	characteristic
1305	#103	C₂³×C₆₁	1	1	yes	characteristic
1306	#103	C₂³×C₆₁	1	1	yes	characteristic
1307	#103	C₂³×C₆₁	1	1	yes	characteristic
1308	#103	C₂³×C₆₁	1	1	yes	characteristic
1309	#103	C₂³×C₆₁	1	1	yes	characteristic
1310	#103	C₂³×C₆₁	1	1	yes	characteristic
1311	#103	C₂³×C₆₁	1	1	yes	characteristic
1312	#102	C₂³×C₆₁	1	1	yes	characteristic
1313	#102	C₂³×C₆₁	1	1	yes	characteristic
1314	#102	C₂³×C₆₁	1	1	yes	characteristic
1315	#102	C₂³×C₆₁	1	1	yes	characteristic
1316	#102	C₂³×C₆₁	1	1	yes	characteristic
1317	#102	C₂³×C₆₁	1	1	yes	characteristic
1318	#102	C₂³×C₆₁	1	1	yes	characteristic
1319	#102	C₂³×C₆₁	1	1	yes	characteristic
1320	#102	C₂³×C₆₁	1	1	yes	characteristic
1321	#102	C₂³×C₆₁	1	1	yes	characteristic
1322	#102	C₂³×C₆₁	1	1	yes	characteristic
1323	#102	C₂³×C₆₁	1	1	yes	characteristic
1324	#102	C₂³×C₆₁	1	1	yes	characteristic
1325	#102	C₂³×C₆₁	1	1	yes	characteristic
1326	#102	C₂³×C₆₁	1	1	yes	characteristic
1327	#102	C₂³×C₆₁	1	1	yes	characteristic
1328	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1329	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1330	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1331	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1332	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1333	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1334	#97	C₂³×C₆₁	1	1	yes	characteristic
1335	#97	C₂³×C₆₁	1	1	yes	characteristic
1336	#97	C₂³×C₆₁	1	1	yes	characteristic
1337	#97	C₂³×C₆₁	1	1	yes	characteristic
1338	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1339	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1340	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1341	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1342	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1343	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1344	C₂⁴	—	2	1	no	—
1345	C₂⁴	—	2	1	no	—
1346	#41	—	2	2	no	—
1347	#41	—	2	2	no	—
1348	#41	—	4	2	no	—
1349	#41	—	4	1	no	—
1350	#41	—	4	1	no	—
1351	#41	—	4	4	no	—
1352	#41	—	8	2	no	—
1353	C₂×Q₈	—	2	1	no	—
1354	C₂×Q₈	—	2	1	no	—
1355	C₂×Q₈	—	2	1	no	—
1356	C₂×Q₈	—	2	1	no	—
1357	C₂×Q₈	—	2	2	no	—
1358	C₂×Q₈	—	2	2	no	—
1359	C₂×Q₈	—	4	1	no	—
1360	C₂×Q₈	—	4	1	no	—
1361	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1362	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1363	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1364	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1365	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1366	C₂×D₄	—	2	2	no	—
1367	C₂×D₄	—	2	2	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	4	1	no	—
1381	C₂×D₄	—	4	1	no	—
1382	C₂×D₄	—	4	4	no	—
1383	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1384	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1385	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1386	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1387	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1388	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1389	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	8	2	no	—
1409	C₂²×C₄	—	8	2	no	—
1410	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1411	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1412	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1413	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1414	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1415	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1416	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1417	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1418	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1419	Q₁₆	—	2	2	no	—
1420	Q₁₆	—	2	2	no	—
1421	Q₁₆	—	4	1	no	—
1422	SD₁₆	—	2	2	no	—
1423	SD₁₆	—	2	2	no	—
1424	SD₁₆	—	2	2	no	—
1425	SD₁₆	—	2	2	no	—
1426	SD₁₆	—	2	2	no	—
1427	SD₁₆	—	4	1	no	—
1428	SD₁₆	—	4	1	no	—
1429	SD₁₆	—	4	1	no	—
1430	SD₁₆	—	4	1	no	—
1431	SD₁₆	#41×C₆₁	1	4	yes	complemented
1432	D₈	—	2	2	no	—
1433	D₈	—	2	2	no	—
1434	D₈	—	4	1	no	—
1435	M₁₆	—	2	2	no	—
1436	M₁₆	—	2	2	no	—
1437	M₁₆	—	4	1	no	—
1438	M₁₆	—	4	1	no	—
1439	C₂×C₈	—	2	2	no	—
1440	C₂×C₈	—	4	1	no	—
1441	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1442	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1443	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1444	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1445	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1446	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1447	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1448	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1482	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1483	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1484	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1485	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1486	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1487	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1488	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1489	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1490	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1491	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1492	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1493	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1494	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1532	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	—	2	1	no	—
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	2	1	no	—
1545	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1546	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1547	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1548	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1549	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1550	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1551	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1552	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1553	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1554	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1555	C₂³	—	2	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	—	2	1	no	—
1559	C₂³	—	4	2	no	—
1560	C₂³	—	4	2	no	—
1561	C₂³	—	4	2	no	—
1562	C₂³	—	4	2	no	—
1563	C₂³	—	8	1	no	—
1564	C₂³	—	8	1	no	—
1565	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1566	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1567	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	4	1	no	—
1576	Q₈	—	4	2	no	—
1577	Q₈	—	4	2	no	—
1578	Q₈	—	4	2	no	—
1579	Q₈	—	8	1	no	—
1580	Q₈	C₂×#41×C₆₁	1	2	yes	—
1581	D₄	—	2	2	no	—
1582	D₄	—	2	2	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	2	1	no	—
1585	D₄	—	2	1	no	—
1586	D₄	—	2	1	no	—
1587	D₄	—	2	1	no	—
1588	D₄	—	2	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	4	1	no	—
1591	D₄	—	4	2	no	—
1592	D₄	—	4	2	no	—
1593	D₄	—	4	2	no	—
1594	D₄	—	4	2	no	—
1595	D₄	—	4	2	no	—
1596	D₄	—	4	2	no	—
1597	D₄	—	4	2	no	—
1598	D₄	—	4	2	no	—
1599	D₄	—	4	2	no	—
1600	D₄	—	8	1	no	—
1601	D₄	—	8	1	no	—
1602	D₄	—	8	1	no	—
1603	D₄	C₂×#41×C₆₁	1	2	yes	—
1604	C₂×C₄	—	2	2	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	2	no	—
1607	C₂×C₄	—	2	2	no	—
1608	C₂×C₄	—	2	2	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	4	1	no	—
1627	C₂×C₄	—	4	1	no	—
1628	C₂×C₄	—	4	2	no	—
1629	C₂×C₄	—	4	2	no	—
1630	C₂×C₄	—	4	2	no	—
1631	C₂×C₄	—	4	2	no	—
1632	C₂×C₄	—	4	2	no	—
1633	C₂×C₄	—	4	2	no	—
1634	C₂×C₄	—	4	2	no	—
1635	C₂×C₄	—	4	2	no	—
1636	C₂×C₄	—	4	2	no	—
1637	C₂×C₄	—	4	2	no	—
1638	C₂×C₄	—	4	2	no	—
1639	C₂×C₄	—	4	2	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	1	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	8	1	no	—
1646	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1647	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1648	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1649	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1650	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1651	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1652	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1653	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1654	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1655	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1656	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1657	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1658	C₈	—	2	1	no	—
1659	C₈	—	2	1	no	—
1660	C₈	—	2	1	no	—
1661	C₈	—	2	1	no	—
1662	C₈	—	2	1	no	—
1663	C₈	—	2	1	no	—
1664	C₈	—	2	1	no	—
1665	C₈	C₂×#41×C₆₁	1	2	yes	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	2	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	4	1	no	—
1678	C₂²	—	4	1	no	—
1679	C₂²	—	4	1	no	—
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	8	4	no	—
1687	C₂²	—	8	4	no	—
1688	C₂²	C₆₁×#575	1	2	yes	—
1689	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	2	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	C₆₁×#577	1	2	yes	—
1713	C₄	C₂²×#41×C₆₁	1	1	yes	characteristic
1714	C₄	C₆₁×#585	1	1	yes	characteristic
1715	C₂	—	2	2	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	4	2	no	—
1719	C₂	—	8	1	no	—
1720	C₂	—	8	1	no	—
1721	C₂	—	8	1	no	—
1722	C₂	D₄×#41×C₆₁	1	1	yes	characteristic
1723	C₂	C₂×C₆₁×#575	1	1	yes	characteristic
1724	C₂	C₂×C₆₁×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₆₁	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
socle	C₂²×C₆₁	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₆₁ ◁ C₄×#41×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3482	C₂	semidirect
2. C₆₁×#3481	C₂	semidirect
3. C₆₁×#3401	C₂	semidirect
4. C₆₁×#3388	C₂	semidirect
5. C₆₁×#3376	C₂	semidirect
6. C₆₁×#3371	C₂	semidirect
7. C₆₁×#3351	C₂	semidirect
8. C₆₁×#3345	C₂	semidirect
9. C₆₁×#3344	C₂	semidirect
10. C₆₁×#3326	C₂	semidirect
11. C₆₁×#3323	C₂	semidirect
12. C₆₁×#3320	C₂	semidirect
13. C₆₁×#3316	C₂	semidirect
14. C₆₁×#3310	C₂	semidirect
15. C₆₁×#3306	C₂	semidirect
16. C₆₁×#3275	C₂	semidirect
17. C₆₁×#3266	C₂	semidirect
18. C₆₁×#3265	C₂	semidirect
19. C₆₁×#3172	C₂	semidirect
20. C₆₁×#3171	C₂	semidirect
21. C₆₁×#3168	C₂	semidirect
22. C₆₁×#3108	C₂	semidirect
23. C₆₁×#3105	C₂	semidirect
24. C₆₁×#3103	C₂	semidirect
25. C₆₁×#3102	C₂	semidirect
26. C₆₁×#3102	C₂	semidirect
27. C₆₁×#3101	C₂	semidirect
28. C₆₁×#2965	C₂	semidirect
29. C₄×#137×C₆₁	C₂	semidirect
30. C₄×AGL(1,ℤ/8)×C₆₁	C₂	semidirect
31. C₂×C₄×SD₁₆×C₆₁	C₂	semidirect
36. C₆₁×#557	C₂²	semidirect
38. C₆₁×#556	C₂²	semidirect
47. C₆₁×#552	C₂²	semidirect
50. D₄×Q₈×C₆₁	C₂²	semidirect
52. C₆₁×#548	C₂²	semidirect
54. C₆₁×#547	C₂²	semidirect
60. C₆₁×#533	C₂²	semidirect
67. C₆₁×#529	C₂²	semidirect
68. C₆₁×#529	C₂²	semidirect
74. C₄×#41×C₆₁	C₂²	semidirect
75. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
76. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
80. C₆₁×#501	C₂²	semidirect
81. C₆₁×#501	C₂²	semidirect
82. C₆₁×#499	C₂²	semidirect
83. C₆₁×#497	C₂²	semidirect
85. C₆₁×#495	C₂²	semidirect
86. C₆₁×#491	C₂²	semidirect
88. C₆₁×#489	C₂²	semidirect
89. C₆₁×#489	C₂²	semidirect
90. C₆₁×#488	C₂²	semidirect
91. C₆₁×#488	C₂²	semidirect
92. C₆₁×#485	C₂²	semidirect
93. C₆₁×#485	C₂²	semidirect
94. C₆₁×#484	C₂²	semidirect
95. C₆₁×#483	C₂²	semidirect
96. C₆₁×#483	C₂²	semidirect
97. C₆₁×#483	C₂²	semidirect
99. C₆₁×#482	C₂²	semidirect
100. C₆₁×#481	C₂²	semidirect
101. C₆₁×#481	C₂²	semidirect
102. C₆₁×#481	C₂²	semidirect
104. C₆₁×#479	C₂²	semidirect
105. C₆₁×#479	C₂²	semidirect
106. C₆₁×#479	C₂²	semidirect
107. C₆₁×#479	C₂²	semidirect
110. C₆₁×#478	C₂²	semidirect
111. C₆₁×#478	C₂²	semidirect
113. C₆₁×#476	C₂²	semidirect
114. C₆₁×#475	C₂²	semidirect
115. C₆₁×#475	C₂²	semidirect
116. C₆₁×#470	C₂²	semidirect
117. C₆₁×#470	C₂²	semidirect
118. C₆₁×#469	C₂²	semidirect
119. C₆₁×#469	C₂²	semidirect
122. C₆₁×#468	C₂²	semidirect
123. C₆₁×#468	C₂²	semidirect
124. C₆₁×#467	C₂²	semidirect
127. C₆₁×#465	C₂²	semidirect
128. C₆₁×#464	C₂²	semidirect
129. C₆₁×#464	C₂²	semidirect
130. C₆₁×#464	C₂²	semidirect
131. C₆₁×#464	C₂²	semidirect
134. C₆₁×#463	C₂²	semidirect
135. C₆₁×#463	C₂²	semidirect
137. C₆₁×#461	C₂²	semidirect
141. C₆₁×#452	C₂²	semidirect
142. C₆₁×#451	C₂²	semidirect
149. C₆₁×#448	C₂²	semidirect
150. C₆₁×#448	C₂²	semidirect
152. C₆₁×#446	C₂²	semidirect
153. C₆₁×#446	C₂²	semidirect
155. C₆₁×#442	C₂²	semidirect
156. C₆₁×#441	C₂²	semidirect
157. C₆₁×#441	C₂²	semidirect
161. C₆₁×#440	C₂²	semidirect
162. C₄×Q₁₆×C₆₁	C₂²	semidirect
163. C₄×Q₁₆×C₆₁	C₂²	semidirect
164. C₄×Q₁₆×C₆₁	C₂²	semidirect
170. C₄×SD₁₆×C₆₁	C₂²	semidirect
171. C₄×SD₁₆×C₆₁	C₂²	semidirect
172. C₄×SD₁₆×C₆₁	C₂²	semidirect
173. C₄×SD₁₆×C₆₁	C₂²	semidirect
174. C₄×SD₁₆×C₆₁	C₂²	semidirect
175. C₄×SD₁₆×C₆₁	C₂²	semidirect
176. C₄×SD₁₆×C₆₁	C₂²	semidirect
177. C₄×SD₁₆×C₆₁	C₂²	semidirect
178. C₄×SD₁₆×C₆₁	C₂²	semidirect
180. C₄×D₈×C₆₁	C₂²	semidirect
181. C₄×D₈×C₆₁	C₂²	semidirect
182. C₆₁×#436	C₂²	semidirect
183. C₆₁×#436	C₂²	semidirect
186. C₆₁×#435	C₂²	semidirect
187. C₆₁×#435	C₂²	semidirect
188. C₆₁×#431	C₂²	semidirect
189. C₆₁×#431	C₂²	semidirect
190. C₆₁×#431	C₂²	semidirect
191. C₆₁×#428	C₂²	semidirect
192. C₆₁×#428	C₂²	semidirect
193. C₂×#106×C₆₁	C₂²	semidirect
194. C₆₁×#419	C₂²	semidirect
197. C₆₁×#417	C₂²	semidirect
198. C₂×#103×C₆₁	C₂²	semidirect
200. C₄×M₁₆×C₆₁	C₂²	semidirect
201. C₄×M₁₆×C₆₁	C₂²	semidirect
202. C₂×C₄×C₈×C₆₁	C₂²	semidirect
568. SD₁₆×C₆₁	#41	semidirect
803. #61445	C₆₁	direct (N × H)
853. #3482	C₂×C₆₁	semidirect
854. #3481	C₂×C₆₁	semidirect
855. #3401	C₂×C₆₁	semidirect
856. #3388	C₂×C₆₁	semidirect
857. #3376	C₂×C₆₁	semidirect
858. #3371	C₂×C₆₁	semidirect
859. #3351	C₂×C₆₁	semidirect
860. #3345	C₂×C₆₁	semidirect
861. #3344	C₂×C₆₁	semidirect
862. #3326	C₂×C₆₁	semidirect
863. #3323	C₂×C₆₁	semidirect
864. #3320	C₂×C₆₁	semidirect
865. #3316	C₂×C₆₁	semidirect
866. #3310	C₂×C₆₁	semidirect
867. #3306	C₂×C₆₁	semidirect
868. #3275	C₂×C₆₁	semidirect
869. #3266	C₂×C₆₁	semidirect
870. #3265	C₂×C₆₁	semidirect
871. #3172	C₂×C₆₁	semidirect
872. #3171	C₂×C₆₁	semidirect
873. #3168	C₂×C₆₁	semidirect
874. #3108	C₂×C₆₁	semidirect
875. #3105	C₂×C₆₁	semidirect
876. #3103	C₂×C₆₁	semidirect
877. #3102	C₂×C₆₁	semidirect
878. #3102	C₂×C₆₁	semidirect
879. #3101	C₂×C₆₁	semidirect
880. #2965	C₂×C₆₁	semidirect
881. C₄×#137	C₂×C₆₁	semidirect
882. C₄×AGL(1,ℤ/8)	C₂×C₆₁	semidirect
883. C₂×C₄×SD₁₆	C₂×C₆₁	semidirect
898. #557	C₂²×C₆₁	semidirect
900. #556	C₂²×C₆₁	semidirect
909. #552	C₂²×C₆₁	semidirect
912. D₄×Q₈	C₂²×C₆₁	semidirect
914. #548	C₂²×C₆₁	semidirect
916. #547	C₂²×C₆₁	semidirect
922. #533	C₂²×C₆₁	semidirect
929. #529	C₂²×C₆₁	semidirect
930. #529	C₂²×C₆₁	semidirect
936. C₄×#41	C₂²×C₆₁	semidirect
937. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
938. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
942. #501	C₂²×C₆₁	semidirect
943. #501	C₂²×C₆₁	semidirect
944. #499	C₂²×C₆₁	semidirect
945. #497	C₂²×C₆₁	semidirect
947. #495	C₂²×C₆₁	semidirect
948. #491	C₂²×C₆₁	semidirect
950. #489	C₂²×C₆₁	semidirect
951. #489	C₂²×C₆₁	semidirect
952. #488	C₂²×C₆₁	semidirect
953. #488	C₂²×C₆₁	semidirect
954. #485	C₂²×C₆₁	semidirect
955. #485	C₂²×C₆₁	semidirect
956. #484	C₂²×C₆₁	semidirect
957. #483	C₂²×C₆₁	semidirect
958. #483	C₂²×C₆₁	semidirect
959. #483	C₂²×C₆₁	semidirect
961. #482	C₂²×C₆₁	semidirect
962. #481	C₂²×C₆₁	semidirect
963. #481	C₂²×C₆₁	semidirect
964. #481	C₂²×C₆₁	semidirect
966. #479	C₂²×C₆₁	semidirect
967. #479	C₂²×C₆₁	semidirect
968. #479	C₂²×C₆₁	semidirect
969. #479	C₂²×C₆₁	semidirect
972. #478	C₂²×C₆₁	semidirect
973. #478	C₂²×C₆₁	semidirect
975. #476	C₂²×C₆₁	semidirect
976. #475	C₂²×C₆₁	semidirect
977. #475	C₂²×C₆₁	semidirect
978. #470	C₂²×C₆₁	semidirect
979. #470	C₂²×C₆₁	semidirect
980. #469	C₂²×C₆₁	semidirect
981. #469	C₂²×C₆₁	semidirect
984. #468	C₂²×C₆₁	semidirect
985. #468	C₂²×C₆₁	semidirect
986. #467	C₂²×C₆₁	semidirect
989. #465	C₂²×C₆₁	semidirect
990. #464	C₂²×C₆₁	semidirect
991. #464	C₂²×C₆₁	semidirect
992. #464	C₂²×C₆₁	semidirect
993. #464	C₂²×C₆₁	semidirect
996. #463	C₂²×C₆₁	semidirect
997. #463	C₂²×C₆₁	semidirect
999. #461	C₂²×C₆₁	semidirect
1003. #452	C₂²×C₆₁	semidirect
1004. #451	C₂²×C₆₁	semidirect
1011. #448	C₂²×C₆₁	semidirect
1012. #448	C₂²×C₆₁	semidirect
1014. #446	C₂²×C₆₁	semidirect
1015. #446	C₂²×C₆₁	semidirect
1017. #442	C₂²×C₆₁	semidirect
1018. #441	C₂²×C₆₁	semidirect
1019. #441	C₂²×C₆₁	semidirect
1023. #440	C₂²×C₆₁	semidirect
1024. C₄×Q₁₆	C₂²×C₆₁	semidirect
1025. C₄×Q₁₆	C₂²×C₆₁	semidirect
1026. C₄×Q₁₆	C₂²×C₆₁	semidirect
1032. C₄×SD₁₆	C₂²×C₆₁	semidirect
1033. C₄×SD₁₆	C₂²×C₆₁	semidirect
1034. C₄×SD₁₆	C₂²×C₆₁	semidirect
1035. C₄×SD₁₆	C₂²×C₆₁	semidirect
1036. C₄×SD₁₆	C₂²×C₆₁	semidirect
1037. C₄×SD₁₆	C₂²×C₆₁	semidirect
1038. C₄×SD₁₆	C₂²×C₆₁	semidirect
1039. C₄×SD₁₆	C₂²×C₆₁	semidirect
1040. C₄×SD₁₆	C₂²×C₆₁	semidirect
1042. C₄×D₈	C₂²×C₆₁	semidirect
1043. C₄×D₈	C₂²×C₆₁	semidirect
1044. #436	C₂²×C₆₁	semidirect
1045. #436	C₂²×C₆₁	semidirect
1048. #435	C₂²×C₆₁	semidirect
1049. #435	C₂²×C₆₁	semidirect
1050. #431	C₂²×C₆₁	semidirect
1051. #431	C₂²×C₆₁	semidirect
1052. #431	C₂²×C₆₁	semidirect
1053. #428	C₂²×C₆₁	semidirect
1054. #428	C₂²×C₆₁	semidirect
1055. C₂×#106	C₂²×C₆₁	semidirect
1056. #419	C₂²×C₆₁	semidirect
1059. #417	C₂²×C₆₁	semidirect
1060. C₂×#103	C₂²×C₆₁	semidirect
1062. C₄×M₁₆	C₂²×C₆₁	semidirect
1063. C₄×M₁₆	C₂²×C₆₁	semidirect
1064. C₂×C₄×C₈	C₂²×C₆₁	semidirect
1065. C₆₁	#61445	direct (N × H)
1431. SD₁₆	#41×C₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₆₁×#3482	2
C₆₁×#3481	2
C₆₁×#3401	2
C₆₁×#3388	2
C₆₁×#3376	2
C₆₁×#3371	2
C₆₁×#3351	2
C₆₁×#3345	2
C₆₁×#3344	2
C₆₁×#3326	2
C₆₁×#3323	2
C₆₁×#3320	2
C₆₁×#3316	2
C₆₁×#3310	2
C₆₁×#3306	2
C₆₁×#3275	2
C₆₁×#3266	2
C₆₁×#3265	2
C₆₁×#3172	2
C₆₁×#3171	2
C₆₁×#3168	2
C₆₁×#3108	2
C₆₁×#3105	2
C₆₁×#3103	2
C₆₁×#3102	2
C₆₁×#3101	2
C₆₁×#2965	2
C₄×#137×C₆₁	2
C₄×AGL(1,ℤ/8)×C₆₁	2
C₂×C₄×SD₁₆×C₆₁	2
#61445	61

Subgroups — C61×#61445 #29564878

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61445 #29564878