Subgroups — C₆₁×#61521 #29564954

Order 15616.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3397	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×#3368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3348	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3346	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3339	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3321	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3310	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3295	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×SD₁₆×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3180	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3179	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3174	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3126	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3118	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3105	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3103	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#2968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#2949	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#2946	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₆₁×#440	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic
33	C₂²×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
34	C₂²×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
35	C₆₁×#557	C₂²	1	1	yes	characteristic, complemented
36	C₆₁×#556	—	2	1	no	—
37	C₆₁×#556	C₂²	1	1	yes	characteristic, complemented
38	C₆₁×#555	C₂²	1	1	yes	characteristic
39	C₆₁×#554	—	2	1	no	—
40	C₆₁×#554	C₂²	1	1	yes	characteristic
41	C₆₁×#554	C₂²	1	1	yes	characteristic, complemented
42	C₆₁×#553	—	2	1	no	—
43	C₆₁×#553	—	2	1	no	—
44	C₆₁×#553	C₂²	1	1	yes	characteristic
45	C₆₁×#553	C₂²	1	1	yes	characteristic
46	C₆₁×#553	C₂²	1	1	yes	characteristic, complemented
47	C₆₁×#552	—	2	1	no	—
48	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
49	C₆₁×#550	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
51	C₆₁×#548	C₂²	1	1	yes	characteristic, complemented
52	C₆₁×#548	C₂²	1	1	yes	characteristic, complemented
53	C₆₁×#546	—	2	1	no	—
54	C₆₁×#546	—	2	1	no	—
55	C₆₁×#546	—	2	1	no	—
56	D₄²×C₆₁	C₂²	1	1	yes	characteristic
57	D₄²×C₆₁	C₂²	1	1	yes	characteristic
58	D₄²×C₆₁	C₂²	1	1	yes	characteristic
59	C₆₁×#542	—	2	1	no	—
60	C₆₁×#542	C₂²	1	1	yes	characteristic, complemented
61	C₆₁×#541	—	2	1	no	—
62	C₆₁×#541	C₂²	1	1	yes	characteristic, complemented
63	C₆₁×#540	C₂²	1	1	yes	characteristic
64	C₆₁×#540	C₂²	1	1	yes	characteristic
65	C₆₁×#538	—	2	1	no	—
66	C₆₁×#538	—	2	1	no	—
67	C₆₁×#532	C₂²	1	1	yes	characteristic
68	C₆₁×#529	—	2	1	no	—
69	C₆₁×#529	—	2	1	no	—
70	C₆₁×#529	C₂²	1	1	yes	characteristic
71	C₆₁×#529	C₂²	1	1	yes	characteristic, complemented
72	C₆₁×#525	—	2	1	no	—
73	C₂×#121×C₆₁	—	2	1	no	—
74	C₆₁×#520	C₂²	1	1	yes	characteristic, complemented
75	C₆₁×#519	C₂²	1	1	yes	characteristic, complemented
76	C₆₁×#518	C₂²	1	1	yes	characteristic
77	C₆₁×#518	C₂²	1	1	yes	characteristic
78	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
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×#496	C₂²	1	1	yes	characteristic, complemented
84	C₆₁×#496	C₂²	1	1	yes	characteristic, complemented
85	C₆₁×#492	C₂²	1	1	yes	characteristic, complemented
86	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
87	C₆₁×#490	C₂²	1	1	yes	characteristic, complemented
88	C₆₁×#490	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×#486	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×#485	C₂²	1	1	yes	characteristic, complemented
95	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
96	C₆₁×#482	C₂²	1	1	yes	characteristic, complemented
97	C₆₁×#482	C₂²	1	1	yes	characteristic, complemented
98	C₆₁×#482	C₂²	1	1	yes	characteristic, complemented
99	C₆₁×#481	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, complemented
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×#478	C₂²	1	1	yes	characteristic
108	C₆₁×#478	C₂²	1	1	yes	characteristic
109	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
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×#475	C₂²	1	1	yes	characteristic, complemented
114	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
115	C₆₁×#474	C₂²	1	1	yes	characteristic, complemented
116	C₆₁×#469	C₂²	1	1	yes	characteristic, complemented
117	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
118	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
119	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
120	C₆₁×#466	C₂²	1	1	yes	characteristic, complemented
121	C₆₁×#466	C₂²	1	1	yes	characteristic, complemented
122	C₆₁×#466	C₂²	1	1	yes	characteristic, complemented
123	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
124	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
125	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
126	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
127	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
128	C₆₁×#463	C₂²	1	1	yes	characteristic
129	C₆₁×#463	C₂²	1	1	yes	characteristic
130	C₆₁×#463	C₂²	1	1	yes	characteristic, complemented
131	C₆₁×#463	C₂²	1	1	yes	characteristic, complemented
132	C₆₁×#461	C₂²	1	1	yes	characteristic
133	C₆₁×#461	C₂²	1	1	yes	characteristic, complemented
134	C₆₁×#460	C₂²	1	1	yes	characteristic, complemented
135	C₆₁×#460	C₂²	1	1	yes	characteristic, complemented
136	C₆₁×#460	C₂²	1	1	yes	characteristic, complemented
137	C₆₁×#460	C₂²	1	1	yes	characteristic, complemented
138	C₆₁×#460	C₂²	1	1	yes	characteristic, complemented
139	C₆₁×#459	C₂²	1	1	yes	characteristic, complemented
140	C₆₁×#450	C₂²	1	1	yes	characteristic
141	C₆₁×#450	C₂²	1	1	yes	characteristic
142	C₆₁×#450	C₂²	1	1	yes	characteristic
143	C₆₁×#450	C₂²	1	1	yes	characteristic
144	C₆₁×#449	C₂²	1	1	yes	characteristic, complemented
145	C₆₁×#449	C₂²	1	1	yes	characteristic, complemented
146	C₆₁×#448	C₂²	1	1	yes	characteristic, complemented
147	C₆₁×#448	C₂²	1	1	yes	characteristic, complemented
148	C₆₁×#448	C₂²	1	1	yes	characteristic, complemented
149	C₆₁×#448	C₂²	1	1	yes	characteristic, complemented
150	C₆₁×#447	C₂²	1	1	yes	characteristic
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×#442	C₂²	1	1	yes	characteristic, complemented
157	C₆₁×#440	C₂²	1	1	yes	characteristic
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
162	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
163	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
164	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
165	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
166	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
167	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
168	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
169	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
171	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
172	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
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×#435	C₂²	1	1	yes	characteristic, complemented
183	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
184	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
185	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
187	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
188	C₆₁×#433	C₂²	1	1	yes	characteristic, complemented
189	C₆₁×#433	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×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×#107×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×#416	C₂²	1	1	yes	characteristic, complemented
197	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic, complemented
198	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
199	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
200	C₆₁×#405	C₂²	1	1	yes	characteristic, complemented
201	C₆₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₂×#97×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	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₆₁	—	2	1	no	—
209	C₂²×D₄×C₆₁	—	2	1	no	—
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	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₆₁	—	2	1	no	—
215	AGL(1,ℤ/8)×C₆₁	—	2	4	no	—
216	C₂×SD₁₆×C₆₁	—	2	4	no	—
217	C₂×SD₁₆×C₆₁	—	2	4	no	—
218	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
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×D₈×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	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
237	C₂²×C₈×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	#127×C₆₁	C₂³	1	1	yes	characteristic
247	#127×C₆₁	C₂³	1	1	yes	characteristic
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	#126×C₆₁	—	2	1	no	—
257	#126×C₆₁	—	2	1	no	—
258	#126×C₆₁	D₄	1	1	yes	characteristic
259	#126×C₆₁	D₄	1	1	yes	characteristic
260	#125×C₆₁	—	2	1	no	—
261	#125×C₆₁	—	2	1	no	—
262	#125×C₆₁	—	2	1	no	—
263	#125×C₆₁	—	2	1	no	—
264	#125×C₆₁	—	2	1	no	—
265	#125×C₆₁	—	2	1	no	—
266	#125×C₆₁	D₄	1	1	yes	characteristic
267	#125×C₆₁	C₂³	1	1	yes	characteristic
268	#125×C₆₁	C₂³	1	1	yes	characteristic
269	#125×C₆₁	C₂³	1	1	yes	characteristic
270	#125×C₆₁	C₂³	1	1	yes	characteristic
271	#124×C₆₁	—	2	1	no	—
272	#124×C₆₁	—	2	1	no	—
273	#124×C₆₁	—	2	1	no	—
274	#124×C₆₁	—	2	1	no	—
275	#124×C₆₁	—	2	1	no	—
276	#124×C₆₁	—	2	1	no	—
277	#124×C₆₁	D₄	1	1	yes	characteristic
278	#124×C₆₁	C₂³	1	1	yes	characteristic
279	#124×C₆₁	C₂³	1	1	yes	characteristic
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	#123×C₆₁	—	2	1	no	—
289	#123×C₆₁	—	2	1	no	—
290	#123×C₆₁	D₄	1	1	yes	characteristic
291	#123×C₆₁	D₄	1	1	yes	characteristic
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	—	2	1	no	—
301	C₂²⋊Q₈×C₆₁	—	2	1	no	—
302	C₂²⋊Q₈×C₆₁	—	2	1	no	—
303	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
304	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
305	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
306	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
307	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
323	#121×C₆₁	—	2	1	no	—
324	#121×C₆₁	—	2	1	no	—
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	#120×C₆₁	—	2	1	no	—
335	#120×C₆₁	—	2	1	no	—
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	—	2	1	no	—
343	C₄×Q₈×C₆₁	—	2	1	no	—
344	C₄×Q₈×C₆₁	—	2	1	no	—
345	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
365	C₄×D₄×C₆₁	—	2	1	no	—
366	C₄×D₄×C₆₁	—	2	1	no	—
367	C₄×D₄×C₆₁	—	2	1	no	—
368	C₄×D₄×C₆₁	—	2	1	no	—
369	C₄×D₄×C₆₁	—	2	1	no	—
370	C₄×D₄×C₆₁	—	2	1	no	—
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	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
386	#117×C₆₁	—	2	1	no	—
387	#117×C₆₁	—	2	1	no	—
388	#117×C₆₁	—	2	1	no	—
389	#117×C₆₁	—	2	1	no	—
390	#117×C₆₁	—	2	1	no	—
391	#117×C₆₁	—	2	1	no	—
392	#117×C₆₁	—	2	1	no	—
393	#117×C₆₁	C₂³	1	1	yes	characteristic
394	#117×C₆₁	C₂³	1	1	yes	characteristic
395	#117×C₆₁	C₂³	1	1	yes	characteristic
396	#117×C₆₁	C₂³	1	1	yes	characteristic
397	#117×C₆₁	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
399	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
400	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
401	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
408	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
409	C₂×C₄²×C₆₁	—	2	1	no	—
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	#107×C₆₁	C₂³	1	1	yes	characteristic
418	#107×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	#102×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	#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	#97×C₆₁	C₂³	1	1	yes	characteristic
476	#97×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	C₂⁴×C₆₁	—	2	1	no	—
484	#41×C₆₁	—	2	2	no	—
485	#41×C₆₁	—	4	1	no	—
486	#41×C₆₁	—	8	2	no	—
487	#41×C₆₁	—	8	2	no	—
488	C₂×Q₈×C₆₁	—	2	1	no	—
489	C₂×Q₈×C₆₁	—	2	1	no	—
490	C₂×Q₈×C₆₁	—	2	1	no	—
491	C₂×Q₈×C₆₁	—	2	1	no	—
492	C₂×Q₈×C₆₁	—	2	2	no	—
493	C₂×Q₈×C₆₁	—	2	2	no	—
494	C₂×Q₈×C₆₁	—	4	1	no	—
495	C₂×Q₈×C₆₁	—	4	1	no	—
496	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
497	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₆₁	—	2	2	no	—
501	C₂×D₄×C₆₁	—	2	2	no	—
502	C₂×D₄×C₆₁	—	2	2	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	—	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	—	2	1	no	—
518	C₂×D₄×C₆₁	—	2	1	no	—
519	C₂×D₄×C₆₁	—	2	1	no	—
520	C₂×D₄×C₆₁	—	2	1	no	—
521	C₂×D₄×C₆₁	—	4	1	no	—
522	C₂×D₄×C₆₁	—	4	1	no	—
523	C₂×D₄×C₆₁	—	4	1	no	—
524	C₂×D₄×C₆₁	—	8	2	no	—
525	C₂×D₄×C₆₁	—	8	2	no	—
526	C₂×D₄×C₆₁	—	8	2	no	—
527	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
530	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
533	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
534	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
546	C₂²×C₄×C₆₁	—	2	1	no	—
547	C₂²×C₄×C₆₁	—	2	1	no	—
548	C₂²×C₄×C₆₁	—	2	1	no	—
549	C₂²×C₄×C₆₁	—	2	1	no	—
550	C₂²×C₄×C₆₁	—	2	1	no	—
551	C₂²×C₄×C₆₁	—	2	1	no	—
552	C₂²×C₄×C₆₁	—	2	1	no	—
553	C₂²×C₄×C₆₁	—	8	2	no	—
554	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
565	SD₁₆×C₆₁	—	2	2	no	—
566	SD₁₆×C₆₁	—	4	1	no	—
567	SD₁₆×C₆₁	—	4	1	no	—
568	SD₁₆×C₆₁	—	4	1	no	—
569	SD₁₆×C₆₁	—	4	1	no	—
570	SD₁₆×C₆₁	#41	1	4	yes	complemented
571	D₈×C₆₁	—	2	2	no	—
572	D₈×C₆₁	—	2	2	no	—
573	D₈×C₆₁	—	4	1	no	—
574	D₈×C₆₁	—	4	1	no	—
575	M₁₆×C₆₁	—	2	2	no	—
576	M₁₆×C₆₁	—	4	1	no	—
577	C₂×C₈×C₆₁	—	2	2	no	—
578	C₂×C₈×C₆₁	—	2	2	no	—
579	C₂×C₈×C₆₁	—	4	1	no	—
580	C₂×C₈×C₆₁	—	4	1	no	—
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	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
625	C₄⋊C₄×C₆₁	C₂×D₄	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	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
633	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
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	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
672	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
673	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
674	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
683	C₄²×C₆₁	—	2	1	no	—
684	C₄²×C₆₁	—	2	1	no	—
685	C₄²×C₆₁	—	2	1	no	—
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	—	2	1	no	—
697	C₂³×C₆₁	—	4	2	no	—
698	C₂³×C₆₁	—	4	2	no	—
699	C₂³×C₆₁	—	4	2	no	—
700	C₂³×C₆₁	—	4	2	no	—
701	C₂³×C₆₁	—	8	1	no	—
702	C₂³×C₆₁	—	8	1	no	—
703	C₂³×C₆₁	—	8	1	no	—
704	C₂³×C₆₁	—	8	1	no	—
705	C₂³×C₆₁	—	8	1	no	—
706	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
707	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
708	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
709	Q₈×C₆₁	—	2	1	no	—
710	Q₈×C₆₁	—	2	1	no	—
711	Q₈×C₆₁	—	2	1	no	—
712	Q₈×C₆₁	—	2	1	no	—
713	Q₈×C₆₁	—	2	1	no	—
714	Q₈×C₆₁	—	4	1	no	—
715	Q₈×C₆₁	—	4	2	no	—
716	Q₈×C₆₁	—	4	2	no	—
717	Q₈×C₆₁	—	8	1	no	—
718	Q₈×C₆₁	—	8	1	no	—
719	Q₈×C₆₁	C₂×#41	1	2	yes	—
720	D₄×C₆₁	—	2	2	no	—
721	D₄×C₆₁	—	2	2	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	—	2	1	no	—
728	D₄×C₆₁	—	2	1	no	—
729	D₄×C₆₁	—	2	1	no	—
730	D₄×C₆₁	—	2	1	no	—
731	D₄×C₆₁	—	4	1	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	—	4	2	no	—
738	D₄×C₆₁	—	4	2	no	—
739	D₄×C₆₁	—	4	2	no	—
740	D₄×C₆₁	—	8	1	no	—
741	D₄×C₆₁	—	8	1	no	—
742	D₄×C₆₁	—	8	1	no	—
743	D₄×C₆₁	—	8	1	no	—
744	D₄×C₆₁	—	8	1	no	—
745	D₄×C₆₁	—	8	1	no	—
746	D₄×C₆₁	—	8	1	no	—
747	D₄×C₆₁	—	8	1	no	—
748	D₄×C₆₁	—	8	1	no	—
749	D₄×C₆₁	—	8	1	no	—
750	D₄×C₆₁	C₂×#41	1	2	yes	—
751	C₂×C₄×C₆₁	—	2	2	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	—	2	1	no	—
764	C₂×C₄×C₆₁	—	2	1	no	—
765	C₂×C₄×C₆₁	—	2	1	no	—
766	C₂×C₄×C₆₁	—	2	1	no	—
767	C₂×C₄×C₆₁	—	2	1	no	—
768	C₂×C₄×C₆₁	—	2	1	no	—
769	C₂×C₄×C₆₁	—	4	1	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	—	8	1	no	—
776	C₂×C₄×C₆₁	—	8	1	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	—	8	1	no	—
784	C₂×C₄×C₆₁	—	8	1	no	—
785	C₂×C₄×C₆₁	—	8	1	no	—
786	C₂×C₄×C₆₁	—	8	1	no	—
787	C₂×C₄×C₆₁	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
800	C₈×C₆₁	—	2	1	no	—
801	C₈×C₆₁	—	2	1	no	—
802	C₈×C₆₁	—	2	1	no	—
803	C₈×C₆₁	—	2	1	no	—
804	C₈×C₆₁	—	2	1	no	—
805	C₈×C₆₁	—	2	1	no	—
806	C₈×C₆₁	—	2	1	no	—
807	C₈×C₆₁	C₂×#41	1	2	yes	—
808	#61521	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
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	—	2	1	no	—
814	C₂²×C₆₁	—	2	1	no	—
815	C₂²×C₆₁	—	2	2	no	—
816	C₂²×C₆₁	—	2	1	no	—
817	C₂²×C₆₁	—	2	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	—	4	1	no	—
825	C₂²×C₆₁	—	4	1	no	—
826	C₂²×C₆₁	—	4	1	no	—
827	C₂²×C₆₁	—	4	1	no	—
828	C₂²×C₆₁	—	4	1	no	—
829	C₂²×C₆₁	—	4	1	no	—
830	C₂²×C₆₁	—	4	1	no	—
831	C₂²×C₆₁	—	4	1	no	—
832	C₂²×C₆₁	—	8	4	no	—
833	C₂²×C₆₁	—	16	2	no	—
834	C₂²×C₆₁	—	16	2	no	—
835	C₂²×C₆₁	#577	1	2	yes	—
836	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
837	C₄×C₆₁	—	2	1	no	—
838	C₄×C₆₁	—	2	1	no	—
839	C₄×C₆₁	—	2	1	no	—
840	C₄×C₆₁	—	2	1	no	—
841	C₄×C₆₁	—	2	1	no	—
842	C₄×C₆₁	—	2	1	no	—
843	C₄×C₆₁	—	2	1	no	—
844	C₄×C₆₁	—	2	2	no	—
845	C₄×C₆₁	—	2	1	no	—
846	C₄×C₆₁	—	2	1	no	—
847	C₄×C₆₁	—	2	1	no	—
848	C₄×C₆₁	—	2	1	no	—
849	C₄×C₆₁	—	4	1	no	—
850	C₄×C₆₁	—	4	1	no	—
851	C₄×C₆₁	—	4	1	no	—
852	C₄×C₆₁	—	4	1	no	—
853	C₄×C₆₁	—	4	1	no	—
854	C₄×C₆₁	—	4	1	no	—
855	C₄×C₆₁	—	4	1	no	—
856	C₄×C₆₁	—	4	1	no	—
857	C₄×C₆₁	—	4	1	no	—
858	C₄×C₆₁	—	4	1	no	—
859	C₄×C₆₁	C₂²×#41	1	1	yes	characteristic
860	C₄×C₆₁	#585	1	1	yes	characteristic
861	#3519	C₂×C₆₁	1	1	yes	characteristic, complemented
862	#3516	C₂×C₆₁	1	1	yes	characteristic, complemented
863	#3397	C₂×C₆₁	1	1	yes	characteristic, complemented
864	#3388	C₂×C₆₁	1	1	yes	characteristic, complemented
865	#3376	C₂×C₆₁	1	1	yes	characteristic, complemented
866	#3368	C₂×C₆₁	1	1	yes	characteristic, complemented
867	#3348	C₂×C₆₁	1	1	yes	characteristic, complemented
868	#3346	C₂×C₆₁	1	1	yes	characteristic, complemented
869	#3339	C₂×C₆₁	1	1	yes	characteristic, complemented
870	#3321	C₂×C₆₁	1	1	yes	characteristic, complemented
871	#3320	C₂×C₆₁	1	1	yes	characteristic, complemented
872	#3318	C₂×C₆₁	1	1	yes	characteristic, complemented
873	#3310	C₂×C₆₁	1	1	yes	characteristic, complemented
874	#3301	C₂×C₆₁	1	1	yes	characteristic, complemented
875	#3295	C₂×C₆₁	1	1	yes	characteristic, complemented
876	D₄×SD₁₆	C₂×C₆₁	1	1	yes	characteristic, complemented
877	#3265	C₂×C₆₁	1	1	yes	characteristic, complemented
878	#3265	C₂×C₆₁	1	1	yes	characteristic, complemented
879	#3180	C₂×C₆₁	1	1	yes	characteristic, complemented
880	#3179	C₂×C₆₁	1	1	yes	characteristic, complemented
881	#3174	C₂×C₆₁	1	1	yes	characteristic, complemented
882	#3126	C₂×C₆₁	1	1	yes	characteristic, complemented
883	#3123	C₂×C₆₁	1	1	yes	characteristic, complemented
884	#3119	C₂×C₆₁	1	1	yes	characteristic, complemented
885	#3118	C₂×C₆₁	1	1	yes	characteristic, complemented
886	#3105	C₂×C₆₁	1	1	yes	characteristic, complemented
887	#3103	C₂×C₆₁	1	1	yes	characteristic, complemented
888	#2968	C₂×C₆₁	1	1	yes	characteristic, complemented
889	#2949	C₂×C₆₁	1	1	yes	characteristic, complemented
890	#2946	C₂×C₆₁	1	1	yes	characteristic, complemented
891	C₂×#440	C₂×C₆₁	1	1	yes	characteristic, complemented
892	C₂×C₆₁	—	2	2	no	—
893	C₂×C₆₁	—	4	1	no	—
894	C₂×C₆₁	—	4	1	no	—
895	C₂×C₆₁	—	4	2	no	—
896	C₂×C₆₁	—	8	1	no	—
897	C₂×C₆₁	—	8	1	no	—
898	C₂×C₆₁	—	8	1	no	—
899	C₂×C₆₁	—	8	1	no	—
900	C₂×C₆₁	D₄×#41	1	1	yes	characteristic
901	C₂×C₆₁	C₂×#577	1	1	yes	characteristic
902	C₂×C₆₁	#3585	1	1	yes	characteristic
903	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic
904	C₂²×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
905	C₂²×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
906	#557	C₂²×C₆₁	1	1	yes	characteristic, complemented
907	#556	—	2	1	no	—
908	#556	C₂²×C₆₁	1	1	yes	characteristic, complemented
909	#555	C₂²×C₆₁	1	1	yes	characteristic
910	#554	—	2	1	no	—
911	#554	C₂²×C₆₁	1	1	yes	characteristic
912	#554	C₂²×C₆₁	1	1	yes	characteristic, complemented
913	#553	—	2	1	no	—
914	#553	—	2	1	no	—
915	#553	C₂²×C₆₁	1	1	yes	characteristic
916	#553	C₂²×C₆₁	1	1	yes	characteristic
917	#553	C₂²×C₆₁	1	1	yes	characteristic, complemented
918	#552	—	2	1	no	—
919	#552	C₂²×C₆₁	1	1	yes	characteristic, complemented
920	#550	C₂²×C₆₁	1	1	yes	characteristic
921	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
922	#548	C₂²×C₆₁	1	1	yes	characteristic, complemented
923	#548	C₂²×C₆₁	1	1	yes	characteristic, complemented
924	#546	—	2	1	no	—
925	#546	—	2	1	no	—
926	#546	—	2	1	no	—
927	D₄²	C₂²×C₆₁	1	1	yes	characteristic
928	D₄²	C₂²×C₆₁	1	1	yes	characteristic
929	D₄²	C₂²×C₆₁	1	1	yes	characteristic
930	#542	—	2	1	no	—
931	#542	C₂²×C₆₁	1	1	yes	characteristic, complemented
932	#541	—	2	1	no	—
933	#541	C₂²×C₆₁	1	1	yes	characteristic, complemented
934	#540	C₂²×C₆₁	1	1	yes	characteristic
935	#540	C₂²×C₆₁	1	1	yes	characteristic
936	#538	—	2	1	no	—
937	#538	—	2	1	no	—
938	#532	C₂²×C₆₁	1	1	yes	characteristic
939	#529	—	2	1	no	—
940	#529	—	2	1	no	—
941	#529	C₂²×C₆₁	1	1	yes	characteristic
942	#529	C₂²×C₆₁	1	1	yes	characteristic, complemented
943	#525	—	2	1	no	—
944	C₂×#121	—	2	1	no	—
945	#520	C₂²×C₆₁	1	1	yes	characteristic, complemented
946	#519	C₂²×C₆₁	1	1	yes	characteristic, complemented
947	#518	C₂²×C₆₁	1	1	yes	characteristic
948	#518	C₂²×C₆₁	1	1	yes	characteristic
949	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
950	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
951	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
952	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
953	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
954	#496	C₂²×C₆₁	1	1	yes	characteristic, complemented
955	#496	C₂²×C₆₁	1	1	yes	characteristic, complemented
956	#492	C₂²×C₆₁	1	1	yes	characteristic, complemented
957	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
958	#490	C₂²×C₆₁	1	1	yes	characteristic, complemented
959	#490	C₂²×C₆₁	1	1	yes	characteristic, complemented
960	#489	C₂²×C₆₁	1	1	yes	characteristic, complemented
961	#488	C₂²×C₆₁	1	1	yes	characteristic, complemented
962	#486	C₂²×C₆₁	1	1	yes	characteristic, complemented
963	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
964	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
965	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
966	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
967	#482	C₂²×C₆₁	1	1	yes	characteristic, complemented
968	#482	C₂²×C₆₁	1	1	yes	characteristic, complemented
969	#482	C₂²×C₆₁	1	1	yes	characteristic, complemented
970	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
971	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
972	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
973	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
974	#480	C₂²×C₆₁	1	1	yes	characteristic, complemented
975	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
976	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
977	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
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	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
983	#476	C₂²×C₆₁	1	1	yes	characteristic
984	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
985	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
986	#474	C₂²×C₆₁	1	1	yes	characteristic, complemented
987	#469	C₂²×C₆₁	1	1	yes	characteristic, complemented
988	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
989	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
990	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
991	#466	C₂²×C₆₁	1	1	yes	characteristic, complemented
992	#466	C₂²×C₆₁	1	1	yes	characteristic, complemented
993	#466	C₂²×C₆₁	1	1	yes	characteristic, complemented
994	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
995	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
996	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
997	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
998	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
999	#463	C₂²×C₆₁	1	1	yes	characteristic
1000	#463	C₂²×C₆₁	1	1	yes	characteristic
1001	#463	C₂²×C₆₁	1	1	yes	characteristic, complemented
1002	#463	C₂²×C₆₁	1	1	yes	characteristic, complemented
1003	#461	C₂²×C₆₁	1	1	yes	characteristic
1004	#461	C₂²×C₆₁	1	1	yes	characteristic, complemented
1005	#460	C₂²×C₆₁	1	1	yes	characteristic, complemented
1006	#460	C₂²×C₆₁	1	1	yes	characteristic, complemented
1007	#460	C₂²×C₆₁	1	1	yes	characteristic, complemented
1008	#460	C₂²×C₆₁	1	1	yes	characteristic, complemented
1009	#460	C₂²×C₆₁	1	1	yes	characteristic, complemented
1010	#459	C₂²×C₆₁	1	1	yes	characteristic, complemented
1011	#450	C₂²×C₆₁	1	1	yes	characteristic
1012	#450	C₂²×C₆₁	1	1	yes	characteristic
1013	#450	C₂²×C₆₁	1	1	yes	characteristic
1014	#450	C₂²×C₆₁	1	1	yes	characteristic
1015	#449	C₂²×C₆₁	1	1	yes	characteristic, complemented
1016	#449	C₂²×C₆₁	1	1	yes	characteristic, complemented
1017	#448	C₂²×C₆₁	1	1	yes	characteristic, complemented
1018	#448	C₂²×C₆₁	1	1	yes	characteristic, complemented
1019	#448	C₂²×C₆₁	1	1	yes	characteristic, complemented
1020	#448	C₂²×C₆₁	1	1	yes	characteristic, complemented
1021	#447	C₂²×C₆₁	1	1	yes	characteristic
1022	#447	C₂²×C₆₁	1	1	yes	characteristic
1023	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
1024	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
1025	#442	C₂²×C₆₁	1	1	yes	characteristic
1026	#442	C₂²×C₆₁	1	1	yes	characteristic, complemented
1027	#442	C₂²×C₆₁	1	1	yes	characteristic, complemented
1028	#440	C₂²×C₆₁	1	1	yes	characteristic
1029	#440	C₂²×C₆₁	1	1	yes	characteristic
1030	#440	C₂²×C₆₁	1	1	yes	characteristic
1031	#440	C₂²×C₆₁	1	1	yes	characteristic
1032	#440	C₂²×C₆₁	1	1	yes	characteristic
1033	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1034	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1035	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1036	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1037	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1038	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1039	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1040	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1041	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1042	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1043	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1044	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1045	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1046	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1047	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1048	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1049	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1050	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1051	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1052	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1053	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1054	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1055	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1056	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1057	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
1058	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
1059	#433	C₂²×C₆₁	1	1	yes	characteristic, complemented
1060	#433	C₂²×C₆₁	1	1	yes	characteristic, complemented
1061	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
1062	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1063	#427	C₂²×C₆₁	1	1	yes	characteristic, complemented
1064	C₂×#107	C₂²×C₆₁	1	1	yes	characteristic, complemented
1065	#419	C₂²×C₆₁	1	1	yes	characteristic, complemented
1066	#418	C₂²×C₆₁	1	1	yes	characteristic
1067	#416	C₂²×C₆₁	1	1	yes	characteristic, complemented
1068	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic, complemented
1069	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
1070	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
1071	#405	C₂²×C₆₁	1	1	yes	characteristic, complemented
1072	#405	C₂²×C₆₁	1	1	yes	characteristic, complemented
1073	C₂×#97	C₂²×C₆₁	1	1	yes	characteristic, complemented
1074	C₆₁	#61521	1	1	yes	characteristic, direct product factor, Sylow
1075	C₂×#41	—	2	1	no	—
1076	C₂×#41	—	2	1	no	—
1077	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1078	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1079	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1080	C₂²×D₄	—	2	1	no	—
1081	C₂²×D₄	—	2	1	no	—
1082	C₂²×D₄	—	2	1	no	—
1083	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1084	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1085	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1086	C₂³×C₄	—	2	1	no	—
1087	AGL(1,ℤ/8)	—	2	4	no	—
1088	C₂×SD₁₆	—	2	4	no	—
1089	C₂×SD₁₆	—	2	4	no	—
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×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1095	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1096	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1097	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1098	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1099	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1100	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1101	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1102	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1103	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1104	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1105	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1106	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1107	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1108	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1109	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1110	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1111	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1112	C₄⋊Q₈	—	2	1	no	—
1113	C₄⋊Q₈	—	2	1	no	—
1114	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1115	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1116	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1117	#127	C₂³×C₆₁	1	1	yes	characteristic
1118	#127	C₂³×C₆₁	1	1	yes	characteristic
1119	#127	C₂³×C₆₁	1	1	yes	characteristic
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	D₄×C₆₁	1	1	yes	characteristic
1131	#126	D₄×C₆₁	1	1	yes	characteristic
1132	#125	—	2	1	no	—
1133	#125	—	2	1	no	—
1134	#125	—	2	1	no	—
1135	#125	—	2	1	no	—
1136	#125	—	2	1	no	—
1137	#125	—	2	1	no	—
1138	#125	D₄×C₆₁	1	1	yes	characteristic
1139	#125	C₂³×C₆₁	1	1	yes	characteristic
1140	#125	C₂³×C₆₁	1	1	yes	characteristic
1141	#125	C₂³×C₆₁	1	1	yes	characteristic
1142	#125	C₂³×C₆₁	1	1	yes	characteristic
1143	#124	—	2	1	no	—
1144	#124	—	2	1	no	—
1145	#124	—	2	1	no	—
1146	#124	—	2	1	no	—
1147	#124	—	2	1	no	—
1148	#124	—	2	1	no	—
1149	#124	D₄×C₆₁	1	1	yes	characteristic
1150	#124	C₂³×C₆₁	1	1	yes	characteristic
1151	#124	C₂³×C₆₁	1	1	yes	characteristic
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	D₄×C₆₁	1	1	yes	characteristic
1163	#123	D₄×C₆₁	1	1	yes	characteristic
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	—	2	1	no	—
1167	C₂²⋊Q₈	—	2	1	no	—
1168	C₂²⋊Q₈	—	2	1	no	—
1169	C₂²⋊Q₈	—	2	1	no	—
1170	C₂²⋊Q₈	—	2	1	no	—
1171	C₂²⋊Q₈	—	2	1	no	—
1172	C₂²⋊Q₈	—	2	1	no	—
1173	C₂²⋊Q₈	—	2	1	no	—
1174	C₂²⋊Q₈	—	2	1	no	—
1175	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1176	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1177	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1178	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1179	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	2	1	no	—
1191	#121	—	2	1	no	—
1192	#121	—	2	1	no	—
1193	#121	—	2	1	no	—
1194	#121	—	2	1	no	—
1195	#121	—	2	1	no	—
1196	#121	—	2	1	no	—
1197	#121	D₄×C₆₁	1	1	yes	characteristic
1198	#121	C₂³×C₆₁	1	1	yes	characteristic
1199	#121	C₂³×C₆₁	1	1	yes	characteristic
1200	#121	C₂³×C₆₁	1	1	yes	characteristic
1201	#121	C₂³×C₆₁	1	1	yes	characteristic
1202	#121	C₂³×C₆₁	1	1	yes	characteristic
1203	#121	C₂³×C₆₁	1	1	yes	characteristic
1204	#121	C₂³×C₆₁	1	1	yes	characteristic
1205	#121	C₂³×C₆₁	1	1	yes	characteristic
1206	#120	—	2	1	no	—
1207	#120	—	2	1	no	—
1208	#120	—	2	1	no	—
1209	#120	—	2	1	no	—
1210	#120	—	2	1	no	—
1211	#120	—	2	1	no	—
1212	C₄×Q₈	—	2	1	no	—
1213	C₄×Q₈	—	2	1	no	—
1214	C₄×Q₈	—	2	1	no	—
1215	C₄×Q₈	—	2	1	no	—
1216	C₄×Q₈	—	2	1	no	—
1217	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1218	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1219	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1220	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1221	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1222	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1223	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1224	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1225	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	—	2	1	no	—
1235	C₄×D₄	—	2	1	no	—
1236	C₄×D₄	—	2	1	no	—
1237	C₄×D₄	—	2	1	no	—
1238	C₄×D₄	—	2	1	no	—
1239	C₄×D₄	—	2	1	no	—
1240	C₄×D₄	—	2	1	no	—
1241	C₄×D₄	—	2	1	no	—
1242	C₄×D₄	—	2	1	no	—
1243	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1244	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1245	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1246	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1247	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1248	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1249	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1250	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1251	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1252	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1253	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1254	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1255	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1256	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1257	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1258	#117	—	2	1	no	—
1259	#117	—	2	1	no	—
1260	#117	—	2	1	no	—
1261	#117	—	2	1	no	—
1262	#117	—	2	1	no	—
1263	#117	—	2	1	no	—
1264	#117	—	2	1	no	—
1265	#117	C₂³×C₆₁	1	1	yes	characteristic
1266	#117	C₂³×C₆₁	1	1	yes	characteristic
1267	#117	C₂³×C₆₁	1	1	yes	characteristic
1268	#117	C₂³×C₆₁	1	1	yes	characteristic
1269	#117	C₂³×C₆₁	1	1	yes	characteristic
1270	C₂×C₄⋊C₄	—	2	1	no	—
1271	C₂×C₄⋊C₄	—	2	1	no	—
1272	C₂×C₄⋊C₄	—	2	1	no	—
1273	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1274	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1275	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1276	C₂×C₂²⋊C₄	—	2	1	no	—
1277	C₂×C₂²⋊C₄	—	2	1	no	—
1278	C₂×C₂²⋊C₄	—	2	1	no	—
1279	C₂×C₂²⋊C₄	—	2	1	no	—
1280	C₂×C₂²⋊C₄	—	2	1	no	—
1281	C₂×C₄²	—	2	1	no	—
1282	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1283	#107	C₂³×C₆₁	1	1	yes	characteristic
1284	#107	C₂³×C₆₁	1	1	yes	characteristic
1285	#107	C₂³×C₆₁	1	1	yes	characteristic
1286	#107	C₂³×C₆₁	1	1	yes	characteristic
1287	#107	C₂³×C₆₁	1	1	yes	characteristic
1288	#107	C₂³×C₆₁	1	1	yes	characteristic
1289	#107	C₂³×C₆₁	1	1	yes	characteristic
1290	#107	C₂³×C₆₁	1	1	yes	characteristic
1291	#106	C₂³×C₆₁	1	1	yes	characteristic
1292	#106	C₂³×C₆₁	1	1	yes	characteristic
1293	#106	C₂³×C₆₁	1	1	yes	characteristic
1294	#106	C₂³×C₆₁	1	1	yes	characteristic
1295	#106	C₂³×C₆₁	1	1	yes	characteristic
1296	#106	C₂³×C₆₁	1	1	yes	characteristic
1297	#106	C₂³×C₆₁	1	1	yes	characteristic
1298	#106	C₂³×C₆₁	1	1	yes	characteristic
1299	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1300	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1301	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1302	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1303	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1304	C₄⋊C₈	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	#103	C₂³×C₆₁	1	1	yes	characteristic
1313	#103	C₂³×C₆₁	1	1	yes	characteristic
1314	#103	C₂³×C₆₁	1	1	yes	characteristic
1315	#103	C₂³×C₆₁	1	1	yes	characteristic
1316	#103	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	#102	C₂³×C₆₁	1	1	yes	characteristic
1329	#102	C₂³×C₆₁	1	1	yes	characteristic
1330	#102	C₂³×C₆₁	1	1	yes	characteristic
1331	#102	C₂³×C₆₁	1	1	yes	characteristic
1332	#102	C₂³×C₆₁	1	1	yes	characteristic
1333	#102	C₂³×C₆₁	1	1	yes	characteristic
1334	#102	C₂³×C₆₁	1	1	yes	characteristic
1335	#102	C₂³×C₆₁	1	1	yes	characteristic
1336	#102	C₂³×C₆₁	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1340	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1341	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1342	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1343	#97	C₂³×C₆₁	1	1	yes	characteristic
1344	#97	C₂³×C₆₁	1	1	yes	characteristic
1345	#97	C₂³×C₆₁	1	1	yes	characteristic
1346	#97	C₂³×C₆₁	1	1	yes	characteristic
1347	#97	C₂³×C₆₁	1	1	yes	characteristic
1348	#97	C₂³×C₆₁	1	1	yes	characteristic
1349	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1350	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1351	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1352	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1353	C₂⁴	—	2	1	no	—
1354	C₂⁴	—	2	1	no	—
1355	C₂⁴	—	2	1	no	—
1356	#41	—	2	2	no	—
1357	#41	—	4	1	no	—
1358	#41	—	8	2	no	—
1359	#41	—	8	2	no	—
1360	C₂×Q₈	—	2	1	no	—
1361	C₂×Q₈	—	2	1	no	—
1362	C₂×Q₈	—	2	1	no	—
1363	C₂×Q₈	—	2	1	no	—
1364	C₂×Q₈	—	2	2	no	—
1365	C₂×Q₈	—	2	2	no	—
1366	C₂×Q₈	—	4	1	no	—
1367	C₂×Q₈	—	4	1	no	—
1368	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1369	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1370	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1371	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1372	C₂×D₄	—	2	2	no	—
1373	C₂×D₄	—	2	2	no	—
1374	C₂×D₄	—	2	2	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	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	4	1	no	—
1394	C₂×D₄	—	4	1	no	—
1395	C₂×D₄	—	4	1	no	—
1396	C₂×D₄	—	8	2	no	—
1397	C₂×D₄	—	8	2	no	—
1398	C₂×D₄	—	8	2	no	—
1399	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1400	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1401	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1402	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1403	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1404	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1405	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1406	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	8	2	no	—
1426	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1427	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1428	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1429	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1430	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1431	SD₁₆	—	2	2	no	—
1432	SD₁₆	—	2	2	no	—
1433	SD₁₆	—	2	2	no	—
1434	SD₁₆	—	2	2	no	—
1435	SD₁₆	—	2	2	no	—
1436	SD₁₆	—	2	2	no	—
1437	SD₁₆	—	2	2	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	SD₁₆	—	4	1	no	—
1441	SD₁₆	—	4	1	no	—
1442	SD₁₆	#41×C₆₁	1	4	yes	complemented
1443	D₈	—	2	2	no	—
1444	D₈	—	2	2	no	—
1445	D₈	—	4	1	no	—
1446	D₈	—	4	1	no	—
1447	M₁₆	—	2	2	no	—
1448	M₁₆	—	4	1	no	—
1449	C₂×C₈	—	2	2	no	—
1450	C₂×C₈	—	2	2	no	—
1451	C₂×C₈	—	4	1	no	—
1452	C₂×C₈	—	4	1	no	—
1453	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1454	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1455	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1456	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1457	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1458	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1459	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1460	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1498	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1499	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1502	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1503	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1545	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1546	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1559	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1560	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1562	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1563	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1564	C₂³	—	2	1	no	—
1565	C₂³	—	2	1	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	—	2	1	no	—
1568	C₂³	—	2	1	no	—
1569	C₂³	—	4	2	no	—
1570	C₂³	—	4	2	no	—
1571	C₂³	—	4	2	no	—
1572	C₂³	—	4	2	no	—
1573	C₂³	—	8	1	no	—
1574	C₂³	—	8	1	no	—
1575	C₂³	—	8	1	no	—
1576	C₂³	—	8	1	no	—
1577	C₂³	—	8	1	no	—
1578	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1579	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1580	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	4	1	no	—
1587	Q₈	—	4	2	no	—
1588	Q₈	—	4	2	no	—
1589	Q₈	—	8	1	no	—
1590	Q₈	—	8	1	no	—
1591	Q₈	C₂×#41×C₆₁	1	2	yes	—
1592	D₄	—	2	2	no	—
1593	D₄	—	2	2	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	2	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	2	1	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	4	1	no	—
1604	D₄	—	4	2	no	—
1605	D₄	—	4	2	no	—
1606	D₄	—	4	2	no	—
1607	D₄	—	4	2	no	—
1608	D₄	—	4	2	no	—
1609	D₄	—	4	2	no	—
1610	D₄	—	4	2	no	—
1611	D₄	—	4	2	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	C₂×#41×C₆₁	1	2	yes	—
1623	C₂×C₄	—	2	2	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	4	1	no	—
1642	C₂×C₄	—	4	2	no	—
1643	C₂×C₄	—	4	2	no	—
1644	C₂×C₄	—	4	2	no	—
1645	C₂×C₄	—	4	2	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	8	1	no	—
1648	C₂×C₄	—	8	1	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1661	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1662	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1663	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1664	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1665	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1666	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1667	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1668	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1669	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1670	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1671	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	—	2	1	no	—
1678	C₈	—	2	1	no	—
1679	C₈	C₂×#41×C₆₁	1	2	yes	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	8	4	no	—
1704	C₂²	—	16	2	no	—
1705	C₂²	—	16	2	no	—
1706	C₂²	C₆₁×#577	1	2	yes	—
1707	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	2	1	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	2	2	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	—	4	1	no	—
1730	C₄	C₂²×#41×C₆₁	1	1	yes	characteristic
1731	C₄	C₆₁×#585	1	1	yes	characteristic
1732	C₂	—	2	2	no	—
1733	C₂	—	4	1	no	—
1734	C₂	—	4	1	no	—
1735	C₂	—	4	2	no	—
1736	C₂	—	8	1	no	—
1737	C₂	—	8	1	no	—
1738	C₂	—	8	1	no	—
1739	C₂	—	8	1	no	—
1740	C₂	D₄×#41×C₆₁	1	1	yes	characteristic
1741	C₂	C₂×C₆₁×#577	1	1	yes	characteristic
1742	C₂	C₆₁×#3585	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×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3519	C₂	semidirect
2. C₆₁×#3516	C₂	semidirect
3. C₆₁×#3397	C₂	semidirect
4. C₆₁×#3388	C₂	semidirect
5. C₆₁×#3376	C₂	semidirect
6. C₆₁×#3368	C₂	semidirect
7. C₆₁×#3348	C₂	semidirect
8. C₆₁×#3346	C₂	semidirect
9. C₆₁×#3339	C₂	semidirect
10. C₆₁×#3321	C₂	semidirect
11. C₆₁×#3320	C₂	semidirect
12. C₆₁×#3318	C₂	semidirect
13. C₆₁×#3310	C₂	semidirect
14. C₆₁×#3301	C₂	semidirect
15. C₆₁×#3295	C₂	semidirect
16. D₄×SD₁₆×C₆₁	C₂	semidirect
17. C₆₁×#3265	C₂	semidirect
18. C₆₁×#3265	C₂	semidirect
19. C₆₁×#3180	C₂	semidirect
20. C₆₁×#3179	C₂	semidirect
21. C₆₁×#3174	C₂	semidirect
22. C₆₁×#3126	C₂	semidirect
23. C₆₁×#3123	C₂	semidirect
24. C₆₁×#3119	C₂	semidirect
25. C₆₁×#3118	C₂	semidirect
26. C₆₁×#3105	C₂	semidirect
27. C₆₁×#3103	C₂	semidirect
28. C₆₁×#2968	C₂	semidirect
29. C₆₁×#2949	C₂	semidirect
30. C₆₁×#2946	C₂	semidirect
31. C₂×C₆₁×#440	C₂	semidirect
35. C₆₁×#557	C₂²	semidirect
37. C₆₁×#556	C₂²	semidirect
41. C₆₁×#554	C₂²	semidirect
46. C₆₁×#553	C₂²	semidirect
48. C₆₁×#552	C₂²	semidirect
50. D₄×Q₈×C₆₁	C₂²	semidirect
51. C₆₁×#548	C₂²	semidirect
52. C₆₁×#548	C₂²	semidirect
60. C₆₁×#542	C₂²	semidirect
62. C₆₁×#541	C₂²	semidirect
71. C₆₁×#529	C₂²	semidirect
74. C₆₁×#520	C₂²	semidirect
75. C₆₁×#519	C₂²	semidirect
78. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
80. C₆₁×#501	C₂²	semidirect
81. C₆₁×#501	C₂²	semidirect
82. C₆₁×#499	C₂²	semidirect
83. C₆₁×#496	C₂²	semidirect
84. C₆₁×#496	C₂²	semidirect
85. C₆₁×#492	C₂²	semidirect
86. C₆₁×#491	C₂²	semidirect
87. C₆₁×#490	C₂²	semidirect
88. C₆₁×#490	C₂²	semidirect
89. C₆₁×#489	C₂²	semidirect
90. C₆₁×#488	C₂²	semidirect
91. C₆₁×#486	C₂²	semidirect
92. C₆₁×#485	C₂²	semidirect
93. C₆₁×#485	C₂²	semidirect
94. C₆₁×#485	C₂²	semidirect
95. C₆₁×#484	C₂²	semidirect
96. C₆₁×#482	C₂²	semidirect
97. C₆₁×#482	C₂²	semidirect
98. C₆₁×#482	C₂²	semidirect
99. C₆₁×#481	C₂²	semidirect
100. C₆₁×#481	C₂²	semidirect
101. C₆₁×#481	C₂²	semidirect
102. C₆₁×#481	C₂²	semidirect
103. C₆₁×#480	C₂²	semidirect
104. C₆₁×#479	C₂²	semidirect
105. C₆₁×#479	C₂²	semidirect
106. C₆₁×#479	C₂²	semidirect
109. C₆₁×#478	C₂²	semidirect
110. C₆₁×#478	C₂²	semidirect
111. C₆₁×#478	C₂²	semidirect
113. C₆₁×#475	C₂²	semidirect
114. C₆₁×#475	C₂²	semidirect
115. C₆₁×#474	C₂²	semidirect
116. C₆₁×#469	C₂²	semidirect
117. C₆₁×#468	C₂²	semidirect
118. C₆₁×#468	C₂²	semidirect
119. C₆₁×#468	C₂²	semidirect
120. C₆₁×#466	C₂²	semidirect
121. C₆₁×#466	C₂²	semidirect
122. C₆₁×#466	C₂²	semidirect
123. C₆₁×#465	C₂²	semidirect
124. C₆₁×#465	C₂²	semidirect
125. C₆₁×#465	C₂²	semidirect
126. C₆₁×#465	C₂²	semidirect
127. C₆₁×#465	C₂²	semidirect
130. C₆₁×#463	C₂²	semidirect
131. C₆₁×#463	C₂²	semidirect
133. C₆₁×#461	C₂²	semidirect
134. C₆₁×#460	C₂²	semidirect
135. C₆₁×#460	C₂²	semidirect
136. C₆₁×#460	C₂²	semidirect
137. C₆₁×#460	C₂²	semidirect
138. C₆₁×#460	C₂²	semidirect
139. C₆₁×#459	C₂²	semidirect
144. C₆₁×#449	C₂²	semidirect
145. C₆₁×#449	C₂²	semidirect
146. C₆₁×#448	C₂²	semidirect
147. C₆₁×#448	C₂²	semidirect
148. C₆₁×#448	C₂²	semidirect
149. C₆₁×#448	C₂²	semidirect
152. C₆₁×#446	C₂²	semidirect
153. C₆₁×#446	C₂²	semidirect
155. C₆₁×#442	C₂²	semidirect
156. C₆₁×#442	C₂²	semidirect
162. C₆₁×#440	C₂²	semidirect
163. C₆₁×#440	C₂²	semidirect
164. C₆₁×#440	C₂²	semidirect
165. C₆₁×#440	C₂²	semidirect
166. C₆₁×#440	C₂²	semidirect
167. C₆₁×#440	C₂²	semidirect
168. C₆₁×#440	C₂²	semidirect
169. C₆₁×#440	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×#435	C₂²	semidirect
183. C₆₁×#435	C₂²	semidirect
184. C₆₁×#435	C₂²	semidirect
185. C₆₁×#435	C₂²	semidirect
186. C₈×D₄×C₆₁	C₂²	semidirect
187. C₈×D₄×C₆₁	C₂²	semidirect
188. C₆₁×#433	C₂²	semidirect
189. C₆₁×#433	C₂²	semidirect
190. C₆₁×#431	C₂²	semidirect
191. C₆₁×#428	C₂²	semidirect
192. C₆₁×#427	C₂²	semidirect
193. C₂×#107×C₆₁	C₂²	semidirect
194. C₆₁×#419	C₂²	semidirect
196. C₆₁×#416	C₂²	semidirect
197. C₂×#103×C₆₁	C₂²	semidirect
200. C₆₁×#405	C₂²	semidirect
201. C₆₁×#405	C₂²	semidirect
202. C₂×#97×C₆₁	C₂²	semidirect
570. SD₁₆×C₆₁	#41	semidirect
808. #61521	C₆₁	direct (N × H)
861. #3519	C₂×C₆₁	semidirect
862. #3516	C₂×C₆₁	semidirect
863. #3397	C₂×C₆₁	semidirect
864. #3388	C₂×C₆₁	semidirect
865. #3376	C₂×C₆₁	semidirect
866. #3368	C₂×C₆₁	semidirect
867. #3348	C₂×C₆₁	semidirect
868. #3346	C₂×C₆₁	semidirect
869. #3339	C₂×C₆₁	semidirect
870. #3321	C₂×C₆₁	semidirect
871. #3320	C₂×C₆₁	semidirect
872. #3318	C₂×C₆₁	semidirect
873. #3310	C₂×C₆₁	semidirect
874. #3301	C₂×C₆₁	semidirect
875. #3295	C₂×C₆₁	semidirect
876. D₄×SD₁₆	C₂×C₆₁	semidirect
877. #3265	C₂×C₆₁	semidirect
878. #3265	C₂×C₆₁	semidirect
879. #3180	C₂×C₆₁	semidirect
880. #3179	C₂×C₆₁	semidirect
881. #3174	C₂×C₆₁	semidirect
882. #3126	C₂×C₆₁	semidirect
883. #3123	C₂×C₆₁	semidirect
884. #3119	C₂×C₆₁	semidirect
885. #3118	C₂×C₆₁	semidirect
886. #3105	C₂×C₆₁	semidirect
887. #3103	C₂×C₆₁	semidirect
888. #2968	C₂×C₆₁	semidirect
889. #2949	C₂×C₆₁	semidirect
890. #2946	C₂×C₆₁	semidirect
891. C₂×#440	C₂×C₆₁	semidirect
906. #557	C₂²×C₆₁	semidirect
908. #556	C₂²×C₆₁	semidirect
912. #554	C₂²×C₆₁	semidirect
917. #553	C₂²×C₆₁	semidirect
919. #552	C₂²×C₆₁	semidirect
921. D₄×Q₈	C₂²×C₆₁	semidirect
922. #548	C₂²×C₆₁	semidirect
923. #548	C₂²×C₆₁	semidirect
931. #542	C₂²×C₆₁	semidirect
933. #541	C₂²×C₆₁	semidirect
942. #529	C₂²×C₆₁	semidirect
945. #520	C₂²×C₆₁	semidirect
946. #519	C₂²×C₆₁	semidirect
949. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
951. #501	C₂²×C₆₁	semidirect
952. #501	C₂²×C₆₁	semidirect
953. #499	C₂²×C₆₁	semidirect
954. #496	C₂²×C₆₁	semidirect
955. #496	C₂²×C₆₁	semidirect
956. #492	C₂²×C₆₁	semidirect
957. #491	C₂²×C₆₁	semidirect
958. #490	C₂²×C₆₁	semidirect
959. #490	C₂²×C₆₁	semidirect
960. #489	C₂²×C₆₁	semidirect
961. #488	C₂²×C₆₁	semidirect
962. #486	C₂²×C₆₁	semidirect
963. #485	C₂²×C₆₁	semidirect
964. #485	C₂²×C₆₁	semidirect
965. #485	C₂²×C₆₁	semidirect
966. #484	C₂²×C₆₁	semidirect
967. #482	C₂²×C₆₁	semidirect
968. #482	C₂²×C₆₁	semidirect
969. #482	C₂²×C₆₁	semidirect
970. #481	C₂²×C₆₁	semidirect
971. #481	C₂²×C₆₁	semidirect
972. #481	C₂²×C₆₁	semidirect
973. #481	C₂²×C₆₁	semidirect
974. #480	C₂²×C₆₁	semidirect
975. #479	C₂²×C₆₁	semidirect
976. #479	C₂²×C₆₁	semidirect
977. #479	C₂²×C₆₁	semidirect
980. #478	C₂²×C₆₁	semidirect
981. #478	C₂²×C₆₁	semidirect
982. #478	C₂²×C₆₁	semidirect
984. #475	C₂²×C₆₁	semidirect
985. #475	C₂²×C₆₁	semidirect
986. #474	C₂²×C₆₁	semidirect
987. #469	C₂²×C₆₁	semidirect
988. #468	C₂²×C₆₁	semidirect
989. #468	C₂²×C₆₁	semidirect
990. #468	C₂²×C₆₁	semidirect
991. #466	C₂²×C₆₁	semidirect
992. #466	C₂²×C₆₁	semidirect
993. #466	C₂²×C₆₁	semidirect
994. #465	C₂²×C₆₁	semidirect
995. #465	C₂²×C₆₁	semidirect
996. #465	C₂²×C₆₁	semidirect
997. #465	C₂²×C₆₁	semidirect
998. #465	C₂²×C₆₁	semidirect
1001. #463	C₂²×C₆₁	semidirect
1002. #463	C₂²×C₆₁	semidirect
1004. #461	C₂²×C₆₁	semidirect
1005. #460	C₂²×C₆₁	semidirect
1006. #460	C₂²×C₆₁	semidirect
1007. #460	C₂²×C₆₁	semidirect
1008. #460	C₂²×C₆₁	semidirect
1009. #460	C₂²×C₆₁	semidirect
1010. #459	C₂²×C₆₁	semidirect
1015. #449	C₂²×C₆₁	semidirect
1016. #449	C₂²×C₆₁	semidirect
1017. #448	C₂²×C₆₁	semidirect
1018. #448	C₂²×C₆₁	semidirect
1019. #448	C₂²×C₆₁	semidirect
1020. #448	C₂²×C₆₁	semidirect
1023. #446	C₂²×C₆₁	semidirect
1024. #446	C₂²×C₆₁	semidirect
1026. #442	C₂²×C₆₁	semidirect
1027. #442	C₂²×C₆₁	semidirect
1033. #440	C₂²×C₆₁	semidirect
1034. #440	C₂²×C₆₁	semidirect
1035. #440	C₂²×C₆₁	semidirect
1036. #440	C₂²×C₆₁	semidirect
1037. #440	C₂²×C₆₁	semidirect
1038. #440	C₂²×C₆₁	semidirect
1039. #440	C₂²×C₆₁	semidirect
1040. #440	C₂²×C₆₁	semidirect
1044. C₄×SD₁₆	C₂²×C₆₁	semidirect
1045. C₄×SD₁₆	C₂²×C₆₁	semidirect
1046. C₄×SD₁₆	C₂²×C₆₁	semidirect
1047. C₄×SD₁₆	C₂²×C₆₁	semidirect
1048. C₄×SD₁₆	C₂²×C₆₁	semidirect
1049. C₄×SD₁₆	C₂²×C₆₁	semidirect
1051. C₄×D₈	C₂²×C₆₁	semidirect
1052. C₄×D₈	C₂²×C₆₁	semidirect
1053. #435	C₂²×C₆₁	semidirect
1054. #435	C₂²×C₆₁	semidirect
1055. #435	C₂²×C₆₁	semidirect
1056. #435	C₂²×C₆₁	semidirect
1057. C₈×D₄	C₂²×C₆₁	semidirect
1058. C₈×D₄	C₂²×C₆₁	semidirect
1059. #433	C₂²×C₆₁	semidirect
1060. #433	C₂²×C₆₁	semidirect
1061. #431	C₂²×C₆₁	semidirect
1062. #428	C₂²×C₆₁	semidirect
1063. #427	C₂²×C₆₁	semidirect
1064. C₂×#107	C₂²×C₆₁	semidirect
1065. #419	C₂²×C₆₁	semidirect
1067. #416	C₂²×C₆₁	semidirect
1068. C₂×#103	C₂²×C₆₁	semidirect
1071. #405	C₂²×C₆₁	semidirect
1072. #405	C₂²×C₆₁	semidirect
1073. C₂×#97	C₂²×C₆₁	semidirect
1074. C₆₁	#61521	direct (N × H)
1442. 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×#3519	2
C₆₁×#3516	2
C₆₁×#3397	2
C₆₁×#3388	2
C₆₁×#3376	2
C₆₁×#3368	2
C₆₁×#3348	2
C₆₁×#3346	2
C₆₁×#3339	2
C₆₁×#3321	2
C₆₁×#3320	2
C₆₁×#3318	2
C₆₁×#3310	2
C₆₁×#3301	2
C₆₁×#3295	2
D₄×SD₁₆×C₆₁	2
C₆₁×#3265	2
C₆₁×#3180	2
C₆₁×#3179	2
C₆₁×#3174	2
C₆₁×#3126	2
C₆₁×#3123	2
C₆₁×#3119	2
C₆₁×#3118	2
C₆₁×#3105	2
C₆₁×#3103	2
C₆₁×#2968	2
C₆₁×#2949	2
C₆₁×#2946	2
C₂×C₆₁×#440	2
#61521	61

Subgroups — C61×#61521 #29564954

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61521 #29564954