Subgroups — C₆₁×#36963 #29540396

Order 15616.

1996 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₆₁×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₆₁×#529	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#2855	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#2853	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#2723	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#2722	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#2720	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#2718	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#2717	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#2716	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#2715	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#2715	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#2713	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#2712	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#2710	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#2708	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#2700	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#2698	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#2688	C₂	1	1	yes	maximal, characteristic
20	C₆₁×#2686	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#2638	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#2630	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#2609	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#2602	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#2599	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#2599	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#2581	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#2564	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#2499	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#2498	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2318	C₂	1	1	yes	maximal, characteristic, complemented
32	C₆₁×#542	—	2	8	no	—
33	C₂×C₄⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
34	C₆₁×#529	—	2	8	no	—
35	C₂×#126×C₆₁	C₂²	1	1	yes	characteristic
36	C₂×#126×C₆₁	C₂²	1	1	yes	characteristic
37	C₂×#126×C₆₁	C₂²	1	1	yes	characteristic
38	C₂×#126×C₆₁	C₂²	1	1	yes	characteristic
39	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic
40	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic
41	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic
42	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic
43	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic
44	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
45	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
46	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
47	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
52	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
53	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
54	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
55	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
59	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic
60	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic
61	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic
62	C₂²×C₄²×C₆₁	C₂²	1	1	yes	characteristic
63	C₆₁×#400	C₂²	1	1	yes	characteristic
64	C₆₁×#400	C₂²	1	1	yes	characteristic
65	C₆₁×#400	C₂²	1	1	yes	characteristic
66	C₆₁×#400	C₂²	1	1	yes	characteristic
67	C₆₁×#399	C₂²	1	1	yes	characteristic
68	C₆₁×#399	C₂²	1	1	yes	characteristic
69	C₆₁×#398	C₂²	1	1	yes	characteristic
70	C₆₁×#398	C₂²	1	1	yes	characteristic
71	C₆₁×#398	C₂²	1	1	yes	characteristic
72	C₆₁×#398	C₂²	1	1	yes	characteristic
73	C₆₁×#398	C₂²	1	1	yes	characteristic
74	C₆₁×#398	C₂²	1	1	yes	characteristic
75	C₆₁×#397	C₂²	1	1	yes	characteristic
76	C₆₁×#397	C₂²	1	1	yes	characteristic
77	C₆₁×#397	C₂²	1	1	yes	characteristic
78	C₆₁×#397	C₂²	1	1	yes	characteristic
79	C₆₁×#397	C₂²	1	1	yes	characteristic
80	C₆₁×#397	C₂²	1	1	yes	characteristic
81	C₆₁×#397	C₂²	1	1	yes	characteristic
82	C₆₁×#397	C₂²	1	1	yes	characteristic
83	C₆₁×#397	C₂²	1	1	yes	characteristic
84	C₆₁×#397	C₂²	1	1	yes	characteristic
85	C₆₁×#397	C₂²	1	1	yes	characteristic
86	C₆₁×#397	C₂²	1	1	yes	characteristic
87	C₆₁×#396	C₂²	1	1	yes	characteristic
88	C₆₁×#396	C₂²	1	1	yes	characteristic
89	C₆₁×#396	C₂²	1	1	yes	characteristic
90	C₆₁×#396	C₂²	1	1	yes	characteristic
91	C₆₁×#395	C₂²	1	1	yes	characteristic
92	C₆₁×#395	C₂²	1	1	yes	characteristic
93	C₆₁×#395	C₂²	1	1	yes	characteristic
94	C₆₁×#395	C₂²	1	1	yes	characteristic
95	C₆₁×#395	C₂²	1	1	yes	characteristic
96	C₆₁×#395	C₂²	1	1	yes	characteristic
97	C₆₁×#394	C₂²	1	1	yes	characteristic
98	C₆₁×#394	C₂²	1	1	yes	characteristic
99	C₆₁×#394	C₂²	1	1	yes	characteristic
100	C₆₁×#394	C₂²	1	1	yes	characteristic
101	C₆₁×#394	C₂²	1	1	yes	characteristic
102	C₆₁×#394	C₂²	1	1	yes	characteristic
103	C₆₁×#394	C₂²	1	1	yes	characteristic
104	C₆₁×#394	C₂²	1	1	yes	characteristic
105	C₆₁×#393	C₂²	1	1	yes	characteristic
106	C₆₁×#393	C₂²	1	1	yes	characteristic
107	C₆₁×#393	C₂²	1	1	yes	characteristic
108	C₆₁×#393	C₂²	1	1	yes	characteristic
109	C₆₁×#392	C₂²	1	1	yes	characteristic
110	C₆₁×#392	C₂²	1	1	yes	characteristic
111	C₆₁×#391	C₂²	1	1	yes	characteristic
112	C₆₁×#391	C₂²	1	1	yes	characteristic
113	C₆₁×#391	C₂²	1	1	yes	characteristic
114	C₆₁×#391	C₂²	1	1	yes	characteristic
115	C₆₁×#391	C₂²	1	1	yes	characteristic
116	C₆₁×#391	C₂²	1	1	yes	characteristic
117	C₆₁×#390	C₂²	1	1	yes	characteristic
118	C₆₁×#389	C₂²	1	1	yes	characteristic
119	C₆₁×#389	C₂²	1	1	yes	characteristic
120	C₆₁×#389	C₂²	1	1	yes	characteristic
121	C₆₁×#389	C₂²	1	1	yes	characteristic
122	C₆₁×#389	C₂²	1	1	yes	characteristic
123	C₆₁×#388	C₂²	1	1	yes	characteristic
124	C₆₁×#388	C₂²	1	1	yes	characteristic
125	C₆₁×#388	C₂²	1	1	yes	characteristic
126	C₆₁×#388	C₂²	1	1	yes	characteristic
127	C₆₁×#388	C₂²	1	1	yes	characteristic
128	C₆₁×#388	C₂²	1	1	yes	characteristic
129	C₆₁×#388	C₂²	1	1	yes	characteristic
130	C₆₁×#388	C₂²	1	1	yes	characteristic
131	C₆₁×#388	C₂²	1	1	yes	characteristic
132	C₆₁×#388	C₂²	1	1	yes	characteristic
133	C₆₁×#388	C₂²	1	1	yes	characteristic
134	C₆₁×#388	C₂²	1	1	yes	characteristic
135	C₆₁×#387	C₂²	1	1	yes	characteristic
136	C₆₁×#387	C₂²	1	1	yes	characteristic
137	C₆₁×#387	C₂²	1	1	yes	characteristic
138	C₆₁×#387	C₂²	1	1	yes	characteristic
139	C₆₁×#387	C₂²	1	1	yes	characteristic
140	C₆₁×#387	C₂²	1	1	yes	characteristic
141	C₆₁×#387	C₂²	1	1	yes	characteristic
142	C₆₁×#387	C₂²	1	1	yes	characteristic
143	C₆₁×#387	C₂²	1	1	yes	characteristic
144	C₆₁×#387	C₂²	1	1	yes	characteristic
145	C₆₁×#387	C₂²	1	1	yes	characteristic
146	C₆₁×#387	C₂²	1	1	yes	characteristic
147	C₆₁×#387	C₂²	1	1	yes	characteristic
148	C₆₁×#387	C₂²	1	1	yes	characteristic
149	C₆₁×#387	C₂²	1	1	yes	characteristic
150	C₆₁×#387	C₂²	1	1	yes	characteristic
151	C₆₁×#387	C₂²	1	1	yes	characteristic
152	C₆₁×#387	C₂²	1	1	yes	characteristic
153	C₆₁×#386	C₂²	1	1	yes	characteristic
154	C₆₁×#386	C₂²	1	1	yes	characteristic
155	C₆₁×#386	C₂²	1	1	yes	characteristic
156	C₆₁×#386	C₂²	1	1	yes	characteristic
157	C₆₁×#386	C₂²	1	1	yes	characteristic
158	C₆₁×#386	C₂²	1	1	yes	characteristic
159	C₆₁×#386	C₂²	1	1	yes	characteristic
160	C₆₁×#386	C₂²	1	1	yes	characteristic
161	C₆₁×#386	C₂²	1	1	yes	characteristic
162	C₆₁×#386	C₂²	1	1	yes	characteristic
163	C₆₁×#385	C₂²	1	1	yes	characteristic
164	C₆₁×#385	C₂²	1	1	yes	characteristic
165	C₆₁×#385	C₂²	1	1	yes	characteristic
166	C₆₁×#385	C₂²	1	1	yes	characteristic
167	C₆₁×#385	C₂²	1	1	yes	characteristic
168	C₆₁×#385	C₂²	1	1	yes	characteristic
169	C₆₁×#385	C₂²	1	1	yes	characteristic
170	C₆₁×#385	C₂²	1	1	yes	characteristic
171	C₆₁×#385	C₂²	1	1	yes	characteristic
172	C₆₁×#385	C₂²	1	1	yes	characteristic
173	C₆₁×#385	C₂²	1	1	yes	characteristic
174	C₆₁×#385	C₂²	1	1	yes	characteristic
175	C₆₁×#384	C₂²	1	1	yes	characteristic
176	C₆₁×#383	C₂²	1	1	yes	characteristic
177	C₆₁×#382	C₂²	1	1	yes	characteristic
178	C₆₁×#382	C₂²	1	1	yes	characteristic
179	C₆₁×#381	C₂²	1	1	yes	characteristic
180	C₆₁×#381	C₂²	1	1	yes	characteristic
181	C₆₁×#381	C₂²	1	1	yes	characteristic
182	C₆₁×#380	C₂²	1	1	yes	characteristic
183	C₆₁×#380	C₂²	1	1	yes	characteristic
184	C₆₁×#380	C₂²	1	1	yes	characteristic
185	C₆₁×#380	C₂²	1	1	yes	characteristic
186	C₆₁×#380	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
188	C₂×#95×C₆₁	C₂²	1	1	yes	characteristic
189	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
191	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
192	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
207	C₄⋊Q₈×C₆₁	—	2	4	no	—
208	#126×C₆₁	—	2	4	no	—
209	#126×C₆₁	—	2	4	no	—
210	#126×C₆₁	—	2	4	no	—
211	#126×C₆₁	—	2	4	no	—
212	#125×C₆₁	—	2	4	no	—
213	#124×C₆₁	—	2	4	no	—
214	#124×C₆₁	—	2	4	no	—
215	#124×C₆₁	—	2	4	no	—
216	#124×C₆₁	—	2	4	no	—
217	#123×C₆₁	—	2	4	no	—
218	#123×C₆₁	—	2	4	no	—
219	#123×C₆₁	—	2	4	no	—
220	#123×C₆₁	—	2	4	no	—
221	C₂²⋊Q₈×C₆₁	—	2	4	no	—
222	C₂²⋊Q₈×C₆₁	—	2	4	no	—
223	C₂²⋊Q₈×C₆₁	—	2	4	no	—
224	C₂²⋊Q₈×C₆₁	—	2	4	no	—
225	#121×C₆₁	—	2	4	no	—
226	#121×C₆₁	—	2	4	no	—
227	C₄×Q₈×C₆₁	—	2	4	no	—
228	C₄×Q₈×C₆₁	—	2	4	no	—
229	C₄×D₄×C₆₁	—	2	4	no	—
230	C₄×D₄×C₆₁	—	2	4	no	—
231	C₄×D₄×C₆₁	D₄	1	8	yes	complemented
232	#117×C₆₁	—	2	4	no	—
233	#117×C₆₁	—	2	4	no	—
234	#117×C₆₁	—	2	4	no	—
235	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₆₁	—	2	4	no	—
314	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
325	#95×C₆₁	C₂³	1	1	yes	characteristic
326	#95×C₆₁	C₂³	1	1	yes	characteristic
327	#95×C₆₁	C₂³	1	1	yes	characteristic
328	#95×C₆₁	C₂³	1	1	yes	characteristic
329	#95×C₆₁	C₂³	1	1	yes	characteristic
330	#95×C₆₁	C₂³	1	1	yes	characteristic
331	#95×C₆₁	C₂³	1	1	yes	characteristic
332	#95×C₆₁	C₂³	1	1	yes	characteristic
333	#95×C₆₁	C₂³	1	1	yes	characteristic
334	#95×C₆₁	C₂³	1	1	yes	characteristic
335	#95×C₆₁	C₂³	1	1	yes	characteristic
336	#95×C₆₁	C₂³	1	1	yes	characteristic
337	#95×C₆₁	C₂³	1	1	yes	characteristic
338	#95×C₆₁	C₂³	1	1	yes	characteristic
339	#95×C₆₁	C₂³	1	1	yes	characteristic
340	#95×C₆₁	C₂³	1	1	yes	characteristic
341	#95×C₆₁	C₂³	1	1	yes	characteristic
342	#95×C₆₁	C₂³	1	1	yes	characteristic
343	#95×C₆₁	C₂³	1	1	yes	characteristic
344	#95×C₆₁	C₂³	1	1	yes	characteristic
345	#95×C₆₁	C₂³	1	1	yes	characteristic
346	#95×C₆₁	C₂³	1	1	yes	characteristic
347	#95×C₆₁	C₂³	1	1	yes	characteristic
348	#95×C₆₁	C₂³	1	1	yes	characteristic
349	#95×C₆₁	C₂³	1	1	yes	characteristic
350	#95×C₆₁	C₂³	1	1	yes	characteristic
351	#95×C₆₁	C₂³	1	1	yes	characteristic
352	#95×C₆₁	C₂³	1	1	yes	characteristic
353	#95×C₆₁	C₂³	1	1	yes	characteristic
354	#95×C₆₁	C₂³	1	1	yes	characteristic
355	#95×C₆₁	C₂³	1	1	yes	characteristic
356	#95×C₆₁	C₂³	1	1	yes	characteristic
357	#95×C₆₁	C₂³	1	1	yes	characteristic
358	#95×C₆₁	C₂³	1	1	yes	characteristic
359	#95×C₆₁	C₂³	1	1	yes	characteristic
360	#95×C₆₁	C₂³	1	1	yes	characteristic
361	#95×C₆₁	C₂³	1	1	yes	characteristic
362	#95×C₆₁	C₂³	1	1	yes	characteristic
363	#95×C₆₁	C₂³	1	1	yes	characteristic
364	#95×C₆₁	C₂³	1	1	yes	characteristic
365	#95×C₆₁	C₂³	1	1	yes	characteristic
366	#95×C₆₁	C₂³	1	1	yes	characteristic
367	#95×C₆₁	C₂³	1	1	yes	characteristic
368	#95×C₆₁	C₂³	1	1	yes	characteristic
369	#95×C₆₁	C₂³	1	1	yes	characteristic
370	#95×C₆₁	C₂³	1	1	yes	characteristic
371	#95×C₆₁	C₂³	1	1	yes	characteristic
372	#95×C₆₁	C₂³	1	1	yes	characteristic
373	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
377	C₂×Q₈×C₆₁	—	2	2	no	—
378	C₂×Q₈×C₆₁	—	2	2	no	—
379	C₂×Q₈×C₆₁	—	2	2	no	—
380	C₂×Q₈×C₆₁	—	2	2	no	—
381	C₂×Q₈×C₆₁	—	2	2	no	—
382	C₂×Q₈×C₆₁	—	4	1	no	—
383	C₂×Q₈×C₆₁	—	4	1	no	—
384	C₂×Q₈×C₆₁	—	4	1	no	—
385	C₂×Q₈×C₆₁	—	4	1	no	—
386	C₂×Q₈×C₆₁	—	4	1	no	—
387	C₂×Q₈×C₆₁	—	4	1	no	—
388	C₂×Q₈×C₆₁	—	4	1	no	—
389	C₂×D₄×C₆₁	—	2	2	no	—
390	C₂×D₄×C₆₁	—	2	2	no	—
391	C₂×D₄×C₆₁	—	2	2	no	—
392	C₂×D₄×C₆₁	—	2	2	no	—
393	C₂×D₄×C₆₁	—	2	2	no	—
394	C₂×D₄×C₆₁	—	4	1	no	—
395	C₂×D₄×C₆₁	—	4	1	no	—
396	C₂×D₄×C₆₁	—	4	1	no	—
397	C₂×D₄×C₆₁	—	4	1	no	—
398	C₂×D₄×C₆₁	—	4	1	no	—
399	C₂×D₄×C₆₁	—	4	1	no	—
400	C₂×D₄×C₆₁	—	4	1	no	—
401	C₂×D₄×C₆₁	—	4	1	no	—
402	C₂×D₄×C₆₁	—	4	1	no	—
403	C₂×D₄×C₆₁	—	4	1	no	—
404	C₂×D₄×C₆₁	—	4	1	no	—
405	C₂×D₄×C₆₁	—	4	1	no	—
406	C₂×D₄×C₆₁	C₂×D₄	1	4	yes	—
407	C₂²×C₄×C₆₁	—	2	2	no	—
408	C₂²×C₄×C₆₁	—	2	2	no	—
409	C₂²×C₄×C₆₁	—	2	2	no	—
410	C₂²×C₄×C₆₁	—	2	2	no	—
411	C₂²×C₄×C₆₁	—	2	2	no	—
412	C₂²×C₄×C₆₁	—	4	1	no	—
413	C₂²×C₄×C₆₁	—	4	1	no	—
414	C₂²×C₄×C₆₁	—	4	1	no	—
415	C₂²×C₄×C₆₁	—	4	1	no	—
416	C₂²×C₄×C₆₁	—	4	1	no	—
417	C₂²×C₄×C₆₁	—	4	1	no	—
418	C₂²×C₄×C₆₁	—	4	1	no	—
419	C₂²×C₄×C₆₁	—	4	1	no	—
420	C₂²×C₄×C₆₁	—	4	1	no	—
421	C₂²×C₄×C₆₁	—	4	1	no	—
422	C₂²×C₄×C₆₁	—	4	1	no	—
423	C₂²×C₄×C₆₁	—	4	1	no	—
424	C₂²×C₄×C₆₁	—	4	1	no	—
425	C₂²×C₄×C₆₁	—	4	1	no	—
426	C₂²×C₄×C₆₁	—	4	1	no	—
427	C₂²×C₄×C₆₁	—	4	1	no	—
428	C₂²×C₄×C₆₁	—	4	1	no	—
429	C₂²×C₄×C₆₁	C₂×D₄	1	4	yes	—
430	C₂²×C₄×C₆₁	C₂×D₄	1	4	yes	—
431	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
458	C₄⋊C₄×C₆₁	—	2	2	no	—
459	C₄⋊C₄×C₆₁	—	2	2	no	—
460	C₄⋊C₄×C₆₁	—	2	2	no	—
461	C₄⋊C₄×C₆₁	—	2	2	no	—
462	C₄⋊C₄×C₆₁	—	2	2	no	—
463	C₄⋊C₄×C₆₁	—	2	2	no	—
464	C₄⋊C₄×C₆₁	—	2	2	no	—
465	C₄⋊C₄×C₆₁	—	2	2	no	—
466	C₄⋊C₄×C₆₁	—	2	2	no	—
467	C₄⋊C₄×C₆₁	—	2	2	no	—
468	C₄⋊C₄×C₆₁	—	2	2	no	—
469	C₄⋊C₄×C₆₁	—	2	2	no	—
470	C₄⋊C₄×C₆₁	—	2	2	no	—
471	C₄⋊C₄×C₆₁	—	2	2	no	—
472	C₄⋊C₄×C₆₁	—	2	2	no	—
473	C₄⋊C₄×C₆₁	—	2	2	no	—
474	C₄⋊C₄×C₆₁	—	2	2	no	—
475	C₄⋊C₄×C₆₁	—	2	2	no	—
476	C₄⋊C₄×C₆₁	—	2	2	no	—
477	C₄⋊C₄×C₆₁	—	4	1	no	—
478	C₄⋊C₄×C₆₁	—	4	1	no	—
479	C₄⋊C₄×C₆₁	—	4	1	no	—
480	C₄⋊C₄×C₆₁	—	4	1	no	—
481	C₄⋊C₄×C₆₁	—	4	1	no	—
482	C₄⋊C₄×C₆₁	—	4	1	no	—
483	C₄⋊C₄×C₆₁	—	4	1	no	—
484	C₄⋊C₄×C₆₁	—	4	1	no	—
485	C₄⋊C₄×C₆₁	—	4	1	no	—
486	C₄⋊C₄×C₆₁	—	4	1	no	—
487	C₄⋊C₄×C₆₁	—	4	1	no	—
488	C₄⋊C₄×C₆₁	—	4	1	no	—
489	C₄⋊C₄×C₆₁	—	4	1	no	—
490	C₄⋊C₄×C₆₁	—	4	1	no	—
491	C₄⋊C₄×C₆₁	—	4	1	no	—
492	C₄⋊C₄×C₆₁	—	4	1	no	—
493	C₄⋊C₄×C₆₁	—	4	1	no	—
494	C₄⋊C₄×C₆₁	—	4	1	no	—
495	C₄⋊C₄×C₆₁	C₂×D₄	1	4	yes	—
496	C₂²⋊C₄×C₆₁	—	2	2	no	—
497	C₂²⋊C₄×C₆₁	—	2	2	no	—
498	C₂²⋊C₄×C₆₁	—	2	2	no	—
499	C₂²⋊C₄×C₆₁	—	2	2	no	—
500	C₂²⋊C₄×C₆₁	—	2	2	no	—
501	C₂²⋊C₄×C₆₁	—	2	2	no	—
502	C₂²⋊C₄×C₆₁	—	2	2	no	—
503	C₂²⋊C₄×C₆₁	—	2	2	no	—
504	C₂²⋊C₄×C₆₁	—	2	2	no	—
505	C₂²⋊C₄×C₆₁	—	2	2	no	—
506	C₂²⋊C₄×C₆₁	—	2	2	no	—
507	C₂²⋊C₄×C₆₁	—	2	2	no	—
508	C₂²⋊C₄×C₆₁	—	2	2	no	—
509	C₂²⋊C₄×C₆₁	—	2	2	no	—
510	C₂²⋊C₄×C₆₁	—	2	2	no	—
511	C₂²⋊C₄×C₆₁	—	2	2	no	—
512	C₂²⋊C₄×C₆₁	—	2	2	no	—
513	C₂²⋊C₄×C₆₁	—	2	2	no	—
514	C₂²⋊C₄×C₆₁	—	2	2	no	—
515	C₂²⋊C₄×C₆₁	—	4	1	no	—
516	C₂²⋊C₄×C₆₁	—	4	1	no	—
517	C₂²⋊C₄×C₆₁	—	4	1	no	—
518	C₂²⋊C₄×C₆₁	—	4	1	no	—
519	C₂²⋊C₄×C₆₁	—	4	1	no	—
520	C₂²⋊C₄×C₆₁	—	4	1	no	—
521	C₂²⋊C₄×C₆₁	—	4	1	no	—
522	C₂²⋊C₄×C₆₁	—	4	1	no	—
523	C₂²⋊C₄×C₆₁	—	4	1	no	—
524	C₂²⋊C₄×C₆₁	—	4	1	no	—
525	C₂²⋊C₄×C₆₁	—	4	1	no	—
526	C₂²⋊C₄×C₆₁	—	4	1	no	—
527	C₂²⋊C₄×C₆₁	—	4	1	no	—
528	C₂²⋊C₄×C₆₁	—	4	1	no	—
529	C₂²⋊C₄×C₆₁	—	4	1	no	—
530	C₂²⋊C₄×C₆₁	—	4	1	no	—
531	C₂²⋊C₄×C₆₁	—	4	1	no	—
532	C₂²⋊C₄×C₆₁	—	4	1	no	—
533	C₂²⋊C₄×C₆₁	—	4	1	no	—
534	C₂²⋊C₄×C₆₁	C₂×D₄	1	4	yes	—
535	C₂²⋊C₄×C₆₁	C₂×D₄	1	4	yes	—
536	C₄²×C₆₁	—	2	2	no	—
537	C₄²×C₆₁	—	2	2	no	—
538	C₄²×C₆₁	—	2	2	no	—
539	C₄²×C₆₁	—	2	2	no	—
540	C₄²×C₆₁	—	2	2	no	—
541	C₄²×C₆₁	—	2	2	no	—
542	C₄²×C₆₁	—	2	2	no	—
543	C₄²×C₆₁	—	2	2	no	—
544	C₄²×C₆₁	—	4	1	no	—
545	C₄²×C₆₁	—	4	1	no	—
546	C₄²×C₆₁	C₂×D₄	1	4	yes	—
547	C₂³×C₆₁	—	2	1	no	—
548	C₂³×C₆₁	—	2	1	no	—
549	C₂³×C₆₁	—	2	1	no	—
550	C₂³×C₆₁	—	2	1	no	—
551	C₂³×C₆₁	—	2	1	no	—
552	C₂³×C₆₁	—	2	1	no	—
553	C₂³×C₆₁	—	2	1	no	—
554	C₂³×C₆₁	—	2	1	no	—
555	C₂³×C₆₁	—	2	1	no	—
556	C₂³×C₆₁	—	2	1	no	—
557	C₂³×C₆₁	—	2	1	no	—
558	C₂³×C₆₁	—	2	1	no	—
559	C₂³×C₆₁	—	2	1	no	—
560	C₂³×C₆₁	—	2	1	no	—
561	C₂³×C₆₁	—	2	1	no	—
562	C₂³×C₆₁	—	2	1	no	—
563	C₂³×C₆₁	—	2	1	no	—
564	C₂³×C₆₁	—	2	1	no	—
565	C₂³×C₆₁	—	2	1	no	—
566	C₂³×C₆₁	—	2	1	no	—
567	C₂³×C₆₁	—	2	1	no	—
568	C₂³×C₆₁	—	2	1	no	—
569	C₂³×C₆₁	—	2	1	no	—
570	C₂³×C₆₁	—	2	1	no	—
571	C₂³×C₆₁	—	2	1	no	—
572	C₂³×C₆₁	—	2	1	no	—
573	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
574	C₂³×C₆₁	C₂²×D₄	1	2	yes	—
575	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
576	Q₈×C₆₁	—	4	4	no	—
577	Q₈×C₆₁	—	4	4	no	—
578	Q₈×C₆₁	—	8	2	no	—
579	Q₈×C₆₁	—	8	2	no	—
580	D₄×C₆₁	—	4	4	no	—
581	D₄×C₆₁	—	4	4	no	—
582	D₄×C₆₁	—	4	4	no	—
583	D₄×C₆₁	—	8	2	no	—
584	D₄×C₆₁	—	8	2	no	—
585	D₄×C₆₁	—	8	2	no	—
586	C₂×C₄×C₆₁	—	2	1	no	—
587	C₂×C₄×C₆₁	—	2	1	no	—
588	C₂×C₄×C₆₁	—	2	1	no	—
589	C₂×C₄×C₆₁	—	2	1	no	—
590	C₂×C₄×C₆₁	—	2	1	no	—
591	C₂×C₄×C₆₁	—	2	1	no	—
592	C₂×C₄×C₆₁	—	2	1	no	—
593	C₂×C₄×C₆₁	—	2	1	no	—
594	C₂×C₄×C₆₁	—	2	1	no	—
595	C₂×C₄×C₆₁	—	2	1	no	—
596	C₂×C₄×C₆₁	—	2	1	no	—
597	C₂×C₄×C₆₁	—	2	1	no	—
598	C₂×C₄×C₆₁	—	2	1	no	—
599	C₂×C₄×C₆₁	—	2	1	no	—
600	C₂×C₄×C₆₁	—	2	1	no	—
601	C₂×C₄×C₆₁	—	2	1	no	—
602	C₂×C₄×C₆₁	—	2	1	no	—
603	C₂×C₄×C₆₁	—	2	1	no	—
604	C₂×C₄×C₆₁	—	2	1	no	—
605	C₂×C₄×C₆₁	—	2	1	no	—
606	C₂×C₄×C₆₁	—	2	1	no	—
607	C₂×C₄×C₆₁	—	2	1	no	—
608	C₂×C₄×C₆₁	—	2	1	no	—
609	C₂×C₄×C₆₁	—	2	1	no	—
610	C₂×C₄×C₆₁	—	2	1	no	—
611	C₂×C₄×C₆₁	—	2	1	no	—
612	C₂×C₄×C₆₁	—	2	1	no	—
613	C₂×C₄×C₆₁	—	2	1	no	—
614	C₂×C₄×C₆₁	—	2	1	no	—
615	C₂×C₄×C₆₁	—	2	1	no	—
616	C₂×C₄×C₆₁	—	2	1	no	—
617	C₂×C₄×C₆₁	—	2	1	no	—
618	C₂×C₄×C₆₁	—	2	1	no	—
619	C₂×C₄×C₆₁	—	2	1	no	—
620	C₂×C₄×C₆₁	—	2	1	no	—
621	C₂×C₄×C₆₁	—	2	1	no	—
622	C₂×C₄×C₆₁	—	2	1	no	—
623	C₂×C₄×C₆₁	—	2	1	no	—
624	C₂×C₄×C₆₁	—	2	1	no	—
625	C₂×C₄×C₆₁	—	2	1	no	—
626	C₂×C₄×C₆₁	—	2	1	no	—
627	C₂×C₄×C₆₁	—	2	1	no	—
628	C₂×C₄×C₆₁	—	2	1	no	—
629	C₂×C₄×C₆₁	—	2	1	no	—
630	C₂×C₄×C₆₁	—	2	1	no	—
631	C₂×C₄×C₆₁	—	2	1	no	—
632	C₂×C₄×C₆₁	—	2	1	no	—
633	C₂×C₄×C₆₁	—	2	1	no	—
634	C₂×C₄×C₆₁	—	2	1	no	—
635	C₂×C₄×C₆₁	—	2	1	no	—
636	C₂×C₄×C₆₁	—	2	1	no	—
637	C₂×C₄×C₆₁	—	2	1	no	—
638	C₂×C₄×C₆₁	—	2	1	no	—
639	C₂×C₄×C₆₁	—	2	1	no	—
640	C₂×C₄×C₆₁	—	2	1	no	—
641	C₂×C₄×C₆₁	—	2	1	no	—
642	C₂×C₄×C₆₁	—	2	1	no	—
643	C₂×C₄×C₆₁	—	2	1	no	—
644	C₂×C₄×C₆₁	—	2	1	no	—
645	C₂×C₄×C₆₁	—	2	1	no	—
646	C₂×C₄×C₆₁	—	2	1	no	—
647	C₂×C₄×C₆₁	—	2	1	no	—
648	C₂×C₄×C₆₁	—	2	1	no	—
649	C₂×C₄×C₆₁	—	2	1	no	—
650	C₂×C₄×C₆₁	—	2	1	no	—
651	C₂×C₄×C₆₁	—	2	1	no	—
652	C₂×C₄×C₆₁	—	2	1	no	—
653	C₂×C₄×C₆₁	—	2	1	no	—
654	C₂×C₄×C₆₁	—	2	1	no	—
655	C₂×C₄×C₆₁	—	2	1	no	—
656	C₂×C₄×C₆₁	—	2	1	no	—
657	C₂×C₄×C₆₁	—	2	1	no	—
658	C₂×C₄×C₆₁	—	2	1	no	—
659	C₂×C₄×C₆₁	—	2	1	no	—
660	C₂×C₄×C₆₁	—	2	1	no	—
661	C₂×C₄×C₆₁	—	4	4	no	—
662	C₂×C₄×C₆₁	—	4	4	no	—
663	C₂×C₄×C₆₁	—	4	4	no	—
664	C₂×C₄×C₆₁	—	4	4	no	—
665	C₂×C₄×C₆₁	—	4	4	no	—
666	C₂×C₄×C₆₁	—	4	4	no	—
667	C₂×C₄×C₆₁	—	8	2	no	—
668	C₂×C₄×C₆₁	—	8	2	no	—
669	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
670	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
671	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
672	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
673	C₂×C₄×C₆₁	C₂²×D₄	1	2	yes	—
674	C₂×C₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
675	#36963	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
676	C₂²×C₆₁	—	2	2	no	—
677	C₂²×C₆₁	—	2	2	no	—
678	C₂²×C₆₁	—	2	2	no	—
679	C₂²×C₆₁	—	2	2	no	—
680	C₂²×C₆₁	—	2	2	no	—
681	C₂²×C₆₁	—	2	2	no	—
682	C₂²×C₆₁	—	4	1	no	—
683	C₂²×C₆₁	—	4	1	no	—
684	C₂²×C₆₁	—	4	1	no	—
685	C₂²×C₆₁	—	4	1	no	—
686	C₂²×C₆₁	—	4	1	no	—
687	C₂²×C₆₁	—	4	1	no	—
688	C₂²×C₆₁	—	4	1	no	—
689	C₂²×C₆₁	—	4	1	no	—
690	C₂²×C₆₁	—	4	1	no	—
691	C₂²×C₆₁	—	4	1	no	—
692	C₂²×C₆₁	—	4	1	no	—
693	C₂²×C₆₁	—	4	1	no	—
694	C₂²×C₆₁	—	4	1	no	—
695	C₂²×C₆₁	—	4	1	no	—
696	C₂²×C₆₁	—	4	1	no	—
697	C₂²×C₆₁	—	4	1	no	—
698	C₂²×C₆₁	—	4	1	no	—
699	C₂²×C₆₁	—	4	1	no	—
700	C₂²×C₆₁	—	4	1	no	—
701	C₂²×C₆₁	—	4	1	no	—
702	C₂²×C₆₁	—	4	1	no	—
703	C₂²×C₆₁	—	4	1	no	—
704	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
705	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
706	C₂²×C₆₁	#585	1	1	yes	characteristic
707	C₂²×C₆₁	#585	1	1	yes	characteristic
708	C₂²×C₆₁	#585	1	1	yes	characteristic
709	C₂²×C₆₁	#585	1	1	yes	characteristic
710	C₂²×C₆₁	#585	1	1	yes	characteristic
711	C₄×C₆₁	—	2	2	no	—
712	C₄×C₆₁	—	2	2	no	—
713	C₄×C₆₁	—	2	2	no	—
714	C₄×C₆₁	—	2	2	no	—
715	C₄×C₆₁	—	2	2	no	—
716	C₄×C₆₁	—	2	2	no	—
717	C₄×C₆₁	—	4	1	no	—
718	C₄×C₆₁	—	4	1	no	—
719	C₄×C₆₁	—	4	1	no	—
720	C₄×C₆₁	—	4	1	no	—
721	C₄×C₆₁	—	4	1	no	—
722	C₄×C₆₁	—	4	1	no	—
723	C₄×C₆₁	—	4	1	no	—
724	C₄×C₆₁	—	4	1	no	—
725	C₄×C₆₁	—	4	1	no	—
726	C₄×C₆₁	—	4	1	no	—
727	C₄×C₆₁	—	4	1	no	—
728	C₄×C₆₁	—	4	1	no	—
729	C₄×C₆₁	—	4	1	no	—
730	C₄×C₆₁	—	4	1	no	—
731	C₄×C₆₁	—	4	1	no	—
732	C₄×C₆₁	—	4	1	no	—
733	C₄×C₆₁	—	4	1	no	—
734	C₄×C₆₁	—	4	1	no	—
735	C₄×C₆₁	—	4	1	no	—
736	C₄×C₆₁	—	4	1	no	—
737	C₄×C₆₁	—	4	1	no	—
738	C₂×#542	C₂×C₆₁	1	1	yes	characteristic, complemented
739	C₂×#529	C₂×C₆₁	1	1	yes	characteristic, complemented
740	#2855	C₂×C₆₁	1	1	yes	characteristic, complemented
741	#2853	C₂×C₆₁	1	1	yes	characteristic, complemented
742	#2723	C₂×C₆₁	1	1	yes	characteristic, complemented
743	#2722	C₂×C₆₁	1	1	yes	characteristic, complemented
744	#2720	C₂×C₆₁	1	1	yes	characteristic, complemented
745	#2718	C₂×C₆₁	1	1	yes	characteristic, complemented
746	#2717	C₂×C₆₁	1	1	yes	characteristic, complemented
747	#2716	C₂×C₆₁	1	1	yes	characteristic, complemented
748	#2715	C₂×C₆₁	1	1	yes	characteristic, complemented
749	#2715	C₂×C₆₁	1	1	yes	characteristic, complemented
750	#2713	C₂×C₆₁	1	1	yes	characteristic, complemented
751	#2712	C₂×C₆₁	1	1	yes	characteristic, complemented
752	#2710	C₂×C₆₁	1	1	yes	characteristic, complemented
753	#2708	C₂×C₆₁	1	1	yes	characteristic, complemented
754	#2700	C₂×C₆₁	1	1	yes	characteristic, complemented
755	#2698	C₂×C₆₁	1	1	yes	characteristic, complemented
756	#2688	C₂×C₆₁	1	1	yes	characteristic
757	#2686	C₂×C₆₁	1	1	yes	characteristic, complemented
758	#2638	C₂×C₆₁	1	1	yes	characteristic, complemented
759	#2630	C₂×C₆₁	1	1	yes	characteristic, complemented
760	#2609	C₂×C₆₁	1	1	yes	characteristic, complemented
761	#2602	C₂×C₆₁	1	1	yes	characteristic, complemented
762	#2599	C₂×C₆₁	1	1	yes	characteristic, complemented
763	#2599	C₂×C₆₁	1	1	yes	characteristic, complemented
764	#2581	C₂×C₆₁	1	1	yes	characteristic, complemented
765	#2564	C₂×C₆₁	1	1	yes	characteristic, complemented
766	#2499	C₂×C₆₁	1	1	yes	characteristic, complemented
767	#2498	C₂×C₆₁	1	1	yes	characteristic, complemented
768	#2318	C₂×C₆₁	1	1	yes	characteristic, complemented
769	C₂×C₆₁	—	4	2	no	—
770	C₂×C₆₁	—	4	2	no	—
771	C₂×C₆₁	—	8	1	no	—
772	C₂×C₆₁	—	8	1	no	—
773	C₂×C₆₁	#3449	1	1	yes	characteristic
774	C₂×C₆₁	#3485	1	1	yes	characteristic
775	C₂×C₆₁	#3489	1	1	yes	characteristic
776	C₂×C₆₁	#3557	1	1	yes	characteristic
777	C₂×C₆₁	#3565	1	1	yes	characteristic
778	C₂×C₆₁	#3566	1	1	yes	characteristic
779	C₂×C₆₁	#3568	1	1	yes	characteristic
780	#542	—	2	8	no	—
781	C₂×C₄⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
782	#529	—	2	8	no	—
783	C₂×#126	C₂²×C₆₁	1	1	yes	characteristic
784	C₂×#126	C₂²×C₆₁	1	1	yes	characteristic
785	C₂×#126	C₂²×C₆₁	1	1	yes	characteristic
786	C₂×#126	C₂²×C₆₁	1	1	yes	characteristic
787	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic
788	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic
789	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic
790	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic
791	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic
792	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
793	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
794	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
795	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
796	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
797	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
798	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
799	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
800	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
801	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
802	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
803	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
804	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
805	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
806	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
807	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic
808	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic
809	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic
810	C₂²×C₄²	C₂²×C₆₁	1	1	yes	characteristic
811	#400	C₂²×C₆₁	1	1	yes	characteristic
812	#400	C₂²×C₆₁	1	1	yes	characteristic
813	#400	C₂²×C₆₁	1	1	yes	characteristic
814	#400	C₂²×C₆₁	1	1	yes	characteristic
815	#399	C₂²×C₆₁	1	1	yes	characteristic
816	#399	C₂²×C₆₁	1	1	yes	characteristic
817	#398	C₂²×C₆₁	1	1	yes	characteristic
818	#398	C₂²×C₆₁	1	1	yes	characteristic
819	#398	C₂²×C₆₁	1	1	yes	characteristic
820	#398	C₂²×C₆₁	1	1	yes	characteristic
821	#398	C₂²×C₆₁	1	1	yes	characteristic
822	#398	C₂²×C₆₁	1	1	yes	characteristic
823	#397	C₂²×C₆₁	1	1	yes	characteristic
824	#397	C₂²×C₆₁	1	1	yes	characteristic
825	#397	C₂²×C₆₁	1	1	yes	characteristic
826	#397	C₂²×C₆₁	1	1	yes	characteristic
827	#397	C₂²×C₆₁	1	1	yes	characteristic
828	#397	C₂²×C₆₁	1	1	yes	characteristic
829	#397	C₂²×C₆₁	1	1	yes	characteristic
830	#397	C₂²×C₆₁	1	1	yes	characteristic
831	#397	C₂²×C₆₁	1	1	yes	characteristic
832	#397	C₂²×C₆₁	1	1	yes	characteristic
833	#397	C₂²×C₆₁	1	1	yes	characteristic
834	#397	C₂²×C₆₁	1	1	yes	characteristic
835	#396	C₂²×C₆₁	1	1	yes	characteristic
836	#396	C₂²×C₆₁	1	1	yes	characteristic
837	#396	C₂²×C₆₁	1	1	yes	characteristic
838	#396	C₂²×C₆₁	1	1	yes	characteristic
839	#395	C₂²×C₆₁	1	1	yes	characteristic
840	#395	C₂²×C₆₁	1	1	yes	characteristic
841	#395	C₂²×C₆₁	1	1	yes	characteristic
842	#395	C₂²×C₆₁	1	1	yes	characteristic
843	#395	C₂²×C₆₁	1	1	yes	characteristic
844	#395	C₂²×C₆₁	1	1	yes	characteristic
845	#394	C₂²×C₆₁	1	1	yes	characteristic
846	#394	C₂²×C₆₁	1	1	yes	characteristic
847	#394	C₂²×C₆₁	1	1	yes	characteristic
848	#394	C₂²×C₆₁	1	1	yes	characteristic
849	#394	C₂²×C₆₁	1	1	yes	characteristic
850	#394	C₂²×C₆₁	1	1	yes	characteristic
851	#394	C₂²×C₆₁	1	1	yes	characteristic
852	#394	C₂²×C₆₁	1	1	yes	characteristic
853	#393	C₂²×C₆₁	1	1	yes	characteristic
854	#393	C₂²×C₆₁	1	1	yes	characteristic
855	#393	C₂²×C₆₁	1	1	yes	characteristic
856	#393	C₂²×C₆₁	1	1	yes	characteristic
857	#392	C₂²×C₆₁	1	1	yes	characteristic
858	#392	C₂²×C₆₁	1	1	yes	characteristic
859	#391	C₂²×C₆₁	1	1	yes	characteristic
860	#391	C₂²×C₆₁	1	1	yes	characteristic
861	#391	C₂²×C₆₁	1	1	yes	characteristic
862	#391	C₂²×C₆₁	1	1	yes	characteristic
863	#391	C₂²×C₆₁	1	1	yes	characteristic
864	#391	C₂²×C₆₁	1	1	yes	characteristic
865	#390	C₂²×C₆₁	1	1	yes	characteristic
866	#389	C₂²×C₆₁	1	1	yes	characteristic
867	#389	C₂²×C₆₁	1	1	yes	characteristic
868	#389	C₂²×C₆₁	1	1	yes	characteristic
869	#389	C₂²×C₆₁	1	1	yes	characteristic
870	#389	C₂²×C₆₁	1	1	yes	characteristic
871	#388	C₂²×C₆₁	1	1	yes	characteristic
872	#388	C₂²×C₆₁	1	1	yes	characteristic
873	#388	C₂²×C₆₁	1	1	yes	characteristic
874	#388	C₂²×C₆₁	1	1	yes	characteristic
875	#388	C₂²×C₆₁	1	1	yes	characteristic
876	#388	C₂²×C₆₁	1	1	yes	characteristic
877	#388	C₂²×C₆₁	1	1	yes	characteristic
878	#388	C₂²×C₆₁	1	1	yes	characteristic
879	#388	C₂²×C₆₁	1	1	yes	characteristic
880	#388	C₂²×C₆₁	1	1	yes	characteristic
881	#388	C₂²×C₆₁	1	1	yes	characteristic
882	#388	C₂²×C₆₁	1	1	yes	characteristic
883	#387	C₂²×C₆₁	1	1	yes	characteristic
884	#387	C₂²×C₆₁	1	1	yes	characteristic
885	#387	C₂²×C₆₁	1	1	yes	characteristic
886	#387	C₂²×C₆₁	1	1	yes	characteristic
887	#387	C₂²×C₆₁	1	1	yes	characteristic
888	#387	C₂²×C₆₁	1	1	yes	characteristic
889	#387	C₂²×C₆₁	1	1	yes	characteristic
890	#387	C₂²×C₆₁	1	1	yes	characteristic
891	#387	C₂²×C₆₁	1	1	yes	characteristic
892	#387	C₂²×C₆₁	1	1	yes	characteristic
893	#387	C₂²×C₆₁	1	1	yes	characteristic
894	#387	C₂²×C₆₁	1	1	yes	characteristic
895	#387	C₂²×C₆₁	1	1	yes	characteristic
896	#387	C₂²×C₆₁	1	1	yes	characteristic
897	#387	C₂²×C₆₁	1	1	yes	characteristic
898	#387	C₂²×C₆₁	1	1	yes	characteristic
899	#387	C₂²×C₆₁	1	1	yes	characteristic
900	#387	C₂²×C₆₁	1	1	yes	characteristic
901	#386	C₂²×C₆₁	1	1	yes	characteristic
902	#386	C₂²×C₆₁	1	1	yes	characteristic
903	#386	C₂²×C₆₁	1	1	yes	characteristic
904	#386	C₂²×C₆₁	1	1	yes	characteristic
905	#386	C₂²×C₆₁	1	1	yes	characteristic
906	#386	C₂²×C₆₁	1	1	yes	characteristic
907	#386	C₂²×C₆₁	1	1	yes	characteristic
908	#386	C₂²×C₆₁	1	1	yes	characteristic
909	#386	C₂²×C₆₁	1	1	yes	characteristic
910	#386	C₂²×C₆₁	1	1	yes	characteristic
911	#385	C₂²×C₆₁	1	1	yes	characteristic
912	#385	C₂²×C₆₁	1	1	yes	characteristic
913	#385	C₂²×C₆₁	1	1	yes	characteristic
914	#385	C₂²×C₆₁	1	1	yes	characteristic
915	#385	C₂²×C₆₁	1	1	yes	characteristic
916	#385	C₂²×C₆₁	1	1	yes	characteristic
917	#385	C₂²×C₆₁	1	1	yes	characteristic
918	#385	C₂²×C₆₁	1	1	yes	characteristic
919	#385	C₂²×C₆₁	1	1	yes	characteristic
920	#385	C₂²×C₆₁	1	1	yes	characteristic
921	#385	C₂²×C₆₁	1	1	yes	characteristic
922	#385	C₂²×C₆₁	1	1	yes	characteristic
923	#384	C₂²×C₆₁	1	1	yes	characteristic
924	#383	C₂²×C₆₁	1	1	yes	characteristic
925	#382	C₂²×C₆₁	1	1	yes	characteristic
926	#382	C₂²×C₆₁	1	1	yes	characteristic
927	#381	C₂²×C₆₁	1	1	yes	characteristic
928	#381	C₂²×C₆₁	1	1	yes	characteristic
929	#381	C₂²×C₆₁	1	1	yes	characteristic
930	#380	C₂²×C₆₁	1	1	yes	characteristic
931	#380	C₂²×C₆₁	1	1	yes	characteristic
932	#380	C₂²×C₆₁	1	1	yes	characteristic
933	#380	C₂²×C₆₁	1	1	yes	characteristic
934	#380	C₂²×C₆₁	1	1	yes	characteristic
935	C₄×C₂²⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
936	C₂×#95	C₂²×C₆₁	1	1	yes	characteristic
937	C₆₁	#36963	1	1	yes	characteristic, direct product factor, Sylow
938	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
939	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
940	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
941	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
942	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
943	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
944	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
945	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
946	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
947	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
948	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
949	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
950	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
951	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
952	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
953	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
954	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
955	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
956	C₄⋊Q₈	—	2	4	no	—
957	#126	—	2	4	no	—
958	#126	—	2	4	no	—
959	#126	—	2	4	no	—
960	#126	—	2	4	no	—
961	#125	—	2	4	no	—
962	#124	—	2	4	no	—
963	#124	—	2	4	no	—
964	#124	—	2	4	no	—
965	#124	—	2	4	no	—
966	#123	—	2	4	no	—
967	#123	—	2	4	no	—
968	#123	—	2	4	no	—
969	#123	—	2	4	no	—
970	C₂²⋊Q₈	—	2	4	no	—
971	C₂²⋊Q₈	—	2	4	no	—
972	C₂²⋊Q₈	—	2	4	no	—
973	C₂²⋊Q₈	—	2	4	no	—
974	#121	—	2	4	no	—
975	#121	—	2	4	no	—
976	C₄×Q₈	—	2	4	no	—
977	C₄×Q₈	—	2	4	no	—
978	C₄×D₄	—	2	4	no	—
979	C₄×D₄	—	2	4	no	—
980	C₄×D₄	D₄×C₆₁	1	8	yes	complemented
981	#117	—	2	4	no	—
982	#117	—	2	4	no	—
983	#117	—	2	4	no	—
984	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1062	C₂×C₄²	—	2	4	no	—
1063	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1065	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1066	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1067	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1068	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1069	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1070	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1071	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1072	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1073	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1074	#95	C₂³×C₆₁	1	1	yes	characteristic
1075	#95	C₂³×C₆₁	1	1	yes	characteristic
1076	#95	C₂³×C₆₁	1	1	yes	characteristic
1077	#95	C₂³×C₆₁	1	1	yes	characteristic
1078	#95	C₂³×C₆₁	1	1	yes	characteristic
1079	#95	C₂³×C₆₁	1	1	yes	characteristic
1080	#95	C₂³×C₆₁	1	1	yes	characteristic
1081	#95	C₂³×C₆₁	1	1	yes	characteristic
1082	#95	C₂³×C₆₁	1	1	yes	characteristic
1083	#95	C₂³×C₆₁	1	1	yes	characteristic
1084	#95	C₂³×C₆₁	1	1	yes	characteristic
1085	#95	C₂³×C₆₁	1	1	yes	characteristic
1086	#95	C₂³×C₆₁	1	1	yes	characteristic
1087	#95	C₂³×C₆₁	1	1	yes	characteristic
1088	#95	C₂³×C₆₁	1	1	yes	characteristic
1089	#95	C₂³×C₆₁	1	1	yes	characteristic
1090	#95	C₂³×C₆₁	1	1	yes	characteristic
1091	#95	C₂³×C₆₁	1	1	yes	characteristic
1092	#95	C₂³×C₆₁	1	1	yes	characteristic
1093	#95	C₂³×C₆₁	1	1	yes	characteristic
1094	#95	C₂³×C₆₁	1	1	yes	characteristic
1095	#95	C₂³×C₆₁	1	1	yes	characteristic
1096	#95	C₂³×C₆₁	1	1	yes	characteristic
1097	#95	C₂³×C₆₁	1	1	yes	characteristic
1098	#95	C₂³×C₆₁	1	1	yes	characteristic
1099	#95	C₂³×C₆₁	1	1	yes	characteristic
1100	#95	C₂³×C₆₁	1	1	yes	characteristic
1101	#95	C₂³×C₆₁	1	1	yes	characteristic
1102	#95	C₂³×C₆₁	1	1	yes	characteristic
1103	#95	C₂³×C₆₁	1	1	yes	characteristic
1104	#95	C₂³×C₆₁	1	1	yes	characteristic
1105	#95	C₂³×C₆₁	1	1	yes	characteristic
1106	#95	C₂³×C₆₁	1	1	yes	characteristic
1107	#95	C₂³×C₆₁	1	1	yes	characteristic
1108	#95	C₂³×C₆₁	1	1	yes	characteristic
1109	#95	C₂³×C₆₁	1	1	yes	characteristic
1110	#95	C₂³×C₆₁	1	1	yes	characteristic
1111	#95	C₂³×C₆₁	1	1	yes	characteristic
1112	#95	C₂³×C₆₁	1	1	yes	characteristic
1113	#95	C₂³×C₆₁	1	1	yes	characteristic
1114	#95	C₂³×C₆₁	1	1	yes	characteristic
1115	#95	C₂³×C₆₁	1	1	yes	characteristic
1116	#95	C₂³×C₆₁	1	1	yes	characteristic
1117	#95	C₂³×C₆₁	1	1	yes	characteristic
1118	#95	C₂³×C₆₁	1	1	yes	characteristic
1119	#95	C₂³×C₆₁	1	1	yes	characteristic
1120	#95	C₂³×C₆₁	1	1	yes	characteristic
1121	#95	C₂³×C₆₁	1	1	yes	characteristic
1122	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1123	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1124	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1125	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1126	C₂×Q₈	—	2	2	no	—
1127	C₂×Q₈	—	2	2	no	—
1128	C₂×Q₈	—	2	2	no	—
1129	C₂×Q₈	—	2	2	no	—
1130	C₂×Q₈	—	2	2	no	—
1131	C₂×Q₈	—	4	1	no	—
1132	C₂×Q₈	—	4	1	no	—
1133	C₂×Q₈	—	4	1	no	—
1134	C₂×Q₈	—	4	1	no	—
1135	C₂×Q₈	—	4	1	no	—
1136	C₂×Q₈	—	4	1	no	—
1137	C₂×Q₈	—	4	1	no	—
1138	C₂×D₄	—	2	2	no	—
1139	C₂×D₄	—	2	2	no	—
1140	C₂×D₄	—	2	2	no	—
1141	C₂×D₄	—	2	2	no	—
1142	C₂×D₄	—	2	2	no	—
1143	C₂×D₄	—	4	1	no	—
1144	C₂×D₄	—	4	1	no	—
1145	C₂×D₄	—	4	1	no	—
1146	C₂×D₄	—	4	1	no	—
1147	C₂×D₄	—	4	1	no	—
1148	C₂×D₄	—	4	1	no	—
1149	C₂×D₄	—	4	1	no	—
1150	C₂×D₄	—	4	1	no	—
1151	C₂×D₄	—	4	1	no	—
1152	C₂×D₄	—	4	1	no	—
1153	C₂×D₄	—	4	1	no	—
1154	C₂×D₄	—	4	1	no	—
1155	C₂×D₄	C₂×D₄×C₆₁	1	4	yes	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	2	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	2	no	—
1161	C₂²×C₄	—	4	1	no	—
1162	C₂²×C₄	—	4	1	no	—
1163	C₂²×C₄	—	4	1	no	—
1164	C₂²×C₄	—	4	1	no	—
1165	C₂²×C₄	—	4	1	no	—
1166	C₂²×C₄	—	4	1	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	4	1	no	—
1169	C₂²×C₄	—	4	1	no	—
1170	C₂²×C₄	—	4	1	no	—
1171	C₂²×C₄	—	4	1	no	—
1172	C₂²×C₄	—	4	1	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	4	1	no	—
1177	C₂²×C₄	—	4	1	no	—
1178	C₂²×C₄	C₂×D₄×C₆₁	1	4	yes	—
1179	C₂²×C₄	C₂×D₄×C₆₁	1	4	yes	—
1180	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1184	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1185	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1187	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1188	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1189	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1190	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1191	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1192	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1193	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1194	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1195	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1196	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1197	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1198	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1203	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1204	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1205	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1206	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1207	C₄⋊C₄	—	2	2	no	—
1208	C₄⋊C₄	—	2	2	no	—
1209	C₄⋊C₄	—	2	2	no	—
1210	C₄⋊C₄	—	2	2	no	—
1211	C₄⋊C₄	—	2	2	no	—
1212	C₄⋊C₄	—	2	2	no	—
1213	C₄⋊C₄	—	2	2	no	—
1214	C₄⋊C₄	—	2	2	no	—
1215	C₄⋊C₄	—	2	2	no	—
1216	C₄⋊C₄	—	2	2	no	—
1217	C₄⋊C₄	—	2	2	no	—
1218	C₄⋊C₄	—	2	2	no	—
1219	C₄⋊C₄	—	2	2	no	—
1220	C₄⋊C₄	—	2	2	no	—
1221	C₄⋊C₄	—	2	2	no	—
1222	C₄⋊C₄	—	2	2	no	—
1223	C₄⋊C₄	—	2	2	no	—
1224	C₄⋊C₄	—	2	2	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	4	1	no	—
1227	C₄⋊C₄	—	4	1	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	—	4	1	no	—
1233	C₄⋊C₄	—	4	1	no	—
1234	C₄⋊C₄	—	4	1	no	—
1235	C₄⋊C₄	—	4	1	no	—
1236	C₄⋊C₄	—	4	1	no	—
1237	C₄⋊C₄	—	4	1	no	—
1238	C₄⋊C₄	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	—	4	1	no	—
1241	C₄⋊C₄	—	4	1	no	—
1242	C₄⋊C₄	—	4	1	no	—
1243	C₄⋊C₄	—	4	1	no	—
1244	C₄⋊C₄	C₂×D₄×C₆₁	1	4	yes	—
1245	C₂²⋊C₄	—	2	2	no	—
1246	C₂²⋊C₄	—	2	2	no	—
1247	C₂²⋊C₄	—	2	2	no	—
1248	C₂²⋊C₄	—	2	2	no	—
1249	C₂²⋊C₄	—	2	2	no	—
1250	C₂²⋊C₄	—	2	2	no	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	—	4	1	no	—
1281	C₂²⋊C₄	—	4	1	no	—
1282	C₂²⋊C₄	—	4	1	no	—
1283	C₂²⋊C₄	C₂×D₄×C₆₁	1	4	yes	—
1284	C₂²⋊C₄	C₂×D₄×C₆₁	1	4	yes	—
1285	C₄²	—	2	2	no	—
1286	C₄²	—	2	2	no	—
1287	C₄²	—	2	2	no	—
1288	C₄²	—	2	2	no	—
1289	C₄²	—	2	2	no	—
1290	C₄²	—	2	2	no	—
1291	C₄²	—	2	2	no	—
1292	C₄²	—	2	2	no	—
1293	C₄²	—	4	1	no	—
1294	C₄²	—	4	1	no	—
1295	C₄²	C₂×D₄×C₆₁	1	4	yes	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
1323	C₂³	C₂²×D₄×C₆₁	1	2	yes	—
1324	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1325	Q₈	—	4	4	no	—
1326	Q₈	—	4	4	no	—
1327	Q₈	—	8	2	no	—
1328	Q₈	—	8	2	no	—
1329	D₄	—	4	4	no	—
1330	D₄	—	4	4	no	—
1331	D₄	—	4	4	no	—
1332	D₄	—	8	2	no	—
1333	D₄	—	8	2	no	—
1334	D₄	—	8	2	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	4	4	no	—
1411	C₂×C₄	—	4	4	no	—
1412	C₂×C₄	—	4	4	no	—
1413	C₂×C₄	—	4	4	no	—
1414	C₂×C₄	—	4	4	no	—
1415	C₂×C₄	—	4	4	no	—
1416	C₂×C₄	—	8	2	no	—
1417	C₂×C₄	—	8	2	no	—
1418	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1419	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1420	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1421	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1422	C₂×C₄	C₂²×D₄×C₆₁	1	2	yes	—
1423	C₂×C₄	2₋¹⁺⁴×C₆₁	1	2	yes	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	4	1	no	—
1452	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1453	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1454	C₂²	C₆₁×#585	1	1	yes	characteristic
1455	C₂²	C₆₁×#585	1	1	yes	characteristic
1456	C₂²	C₆₁×#585	1	1	yes	characteristic
1457	C₂²	C₆₁×#585	1	1	yes	characteristic
1458	C₂²	C₆₁×#585	1	1	yes	characteristic
1459	C₄	—	2	2	no	—
1460	C₄	—	2	2	no	—
1461	C₄	—	2	2	no	—
1462	C₄	—	2	2	no	—
1463	C₄	—	2	2	no	—
1464	C₄	—	2	2	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	—	4	1	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	1	no	—
1484	C₄	—	4	1	no	—
1485	C₄	—	4	1	no	—
1486	C₂	—	4	2	no	—
1487	C₂	—	4	2	no	—
1488	C₂	—	8	1	no	—
1489	C₂	—	8	1	no	—
1490	C₂	C₆₁×#3449	1	1	yes	characteristic
1491	C₂	C₆₁×#3485	1	1	yes	characteristic
1492	C₂	C₆₁×#3489	1	1	yes	characteristic
1493	C₂	C₆₁×#3557	1	1	yes	characteristic
1494	C₂	C₆₁×#3565	1	1	yes	characteristic
1495	C₂	C₆₁×#3566	1	1	yes	characteristic
1496	C₂	C₆₁×#3568	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₆₁
prime radical	C₆₁×#2688	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₆₁×#542	C₂	semidirect
2. C₂×C₆₁×#529	C₂	semidirect
3. C₆₁×#2855	C₂	semidirect
4. C₆₁×#2853	C₂	semidirect
5. C₆₁×#2723	C₂	semidirect
6. C₆₁×#2722	C₂	semidirect
7. C₆₁×#2720	C₂	semidirect
8. C₆₁×#2718	C₂	semidirect
9. C₆₁×#2717	C₂	semidirect
10. C₆₁×#2716	C₂	semidirect
11. C₆₁×#2715	C₂	semidirect
12. C₆₁×#2715	C₂	semidirect
13. C₆₁×#2713	C₂	semidirect
14. C₆₁×#2712	C₂	semidirect
15. C₆₁×#2710	C₂	semidirect
16. C₆₁×#2708	C₂	semidirect
17. C₆₁×#2700	C₂	semidirect
18. C₆₁×#2698	C₂	semidirect
20. C₆₁×#2686	C₂	semidirect
21. C₆₁×#2638	C₂	semidirect
22. C₆₁×#2630	C₂	semidirect
23. C₆₁×#2609	C₂	semidirect
24. C₆₁×#2602	C₂	semidirect
25. C₆₁×#2599	C₂	semidirect
26. C₆₁×#2599	C₂	semidirect
27. C₆₁×#2581	C₂	semidirect
28. C₆₁×#2564	C₂	semidirect
29. C₆₁×#2499	C₂	semidirect
30. C₆₁×#2498	C₂	semidirect
31. C₆₁×#2318	C₂	semidirect
231. C₄×D₄×C₆₁	D₄	semidirect
675. #36963	C₆₁	direct (N × H)
738. C₂×#542	C₂×C₆₁	semidirect
739. C₂×#529	C₂×C₆₁	semidirect
740. #2855	C₂×C₆₁	semidirect
741. #2853	C₂×C₆₁	semidirect
742. #2723	C₂×C₆₁	semidirect
743. #2722	C₂×C₆₁	semidirect
744. #2720	C₂×C₆₁	semidirect
745. #2718	C₂×C₆₁	semidirect
746. #2717	C₂×C₆₁	semidirect
747. #2716	C₂×C₆₁	semidirect
748. #2715	C₂×C₆₁	semidirect
749. #2715	C₂×C₆₁	semidirect
750. #2713	C₂×C₆₁	semidirect
751. #2712	C₂×C₆₁	semidirect
752. #2710	C₂×C₆₁	semidirect
753. #2708	C₂×C₆₁	semidirect
754. #2700	C₂×C₆₁	semidirect
755. #2698	C₂×C₆₁	semidirect
757. #2686	C₂×C₆₁	semidirect
758. #2638	C₂×C₆₁	semidirect
759. #2630	C₂×C₆₁	semidirect
760. #2609	C₂×C₆₁	semidirect
761. #2602	C₂×C₆₁	semidirect
762. #2599	C₂×C₆₁	semidirect
763. #2599	C₂×C₆₁	semidirect
764. #2581	C₂×C₆₁	semidirect
765. #2564	C₂×C₆₁	semidirect
766. #2499	C₂×C₆₁	semidirect
767. #2498	C₂×C₆₁	semidirect
768. #2318	C₂×C₆₁	semidirect
937. C₆₁	#36963	direct (N × H)
980. C₄×D₄	D₄×C₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₆₁×#542	2
C₂×C₆₁×#529	2
C₆₁×#2855	2
C₆₁×#2853	2
C₆₁×#2723	2
C₆₁×#2722	2
C₆₁×#2720	2
C₆₁×#2718	2
C₆₁×#2717	2
C₆₁×#2716	2
C₆₁×#2715	2
C₆₁×#2713	2
C₆₁×#2712	2
C₆₁×#2710	2
C₆₁×#2708	2
C₆₁×#2700	2
C₆₁×#2698	2
C₆₁×#2688	2
C₆₁×#2686	2
C₆₁×#2638	2
C₆₁×#2630	2
C₆₁×#2609	2
C₆₁×#2602	2
C₆₁×#2599	2
C₆₁×#2581	2
C₆₁×#2564	2
C₆₁×#2499	2
C₆₁×#2498	2
C₆₁×#2318	2
#36963	61

Subgroups — C61×#36963 #29540396

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#36963 #29540396