Subgroups — C₆₁×#36911 #29540344

Order 15616.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#2856	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#2853	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#2803	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#2792	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#2790	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#2780	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#2710	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#2709	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#2701	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#2692	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#2686	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#2682	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#2681	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#2676	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#2673	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#2672	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#2671	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#2671	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#2662	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#2651	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#2559	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#2555	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#2479	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#2476	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#2464	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#2461	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#2458	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#2426	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#2335	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#2324	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₂²⋊Q₈×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#127×C₆₁	C₂²	1	1	yes	characteristic
33	C₂×#126×C₆₁	C₂²	1	1	yes	characteristic
34	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic
35	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic
36	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic
37	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
38	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
39	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
40	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
41	C₂×#123×C₆₁	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
45	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
46	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
47	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
48	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
49	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
50	C₂×#121×C₆₁	C₂²	1	1	yes	characteristic
51	C₂×#121×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×#121×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×#117×C₆₁	C₂²	1	1	yes	characteristic
58	C₂²×C₄²×C₆₁	C₂²	1	1	yes	characteristic
59	C₆₁×#400	C₂²	1	1	yes	characteristic
60	C₆₁×#399	C₂²	1	1	yes	characteristic
61	C₆₁×#399	C₂²	1	1	yes	characteristic
62	C₆₁×#399	C₂²	1	1	yes	characteristic
63	C₆₁×#398	C₂²	1	1	yes	characteristic
64	C₆₁×#398	C₂²	1	1	yes	characteristic
65	C₆₁×#398	C₂²	1	1	yes	characteristic
66	C₆₁×#398	C₂²	1	1	yes	characteristic
67	C₆₁×#398	C₂²	1	1	yes	characteristic
68	C₆₁×#398	C₂²	1	1	yes	characteristic
69	C₆₁×#397	C₂²	1	1	yes	characteristic
70	C₆₁×#397	C₂²	1	1	yes	characteristic
71	C₆₁×#396	C₂²	1	1	yes	characteristic
72	C₆₁×#396	C₂²	1	1	yes	characteristic
73	C₆₁×#396	C₂²	1	1	yes	characteristic
74	C₆₁×#396	C₂²	1	1	yes	characteristic
75	C₆₁×#396	C₂²	1	1	yes	characteristic
76	C₆₁×#396	C₂²	1	1	yes	characteristic
77	C₆₁×#395	C₂²	1	1	yes	characteristic
78	C₆₁×#395	C₂²	1	1	yes	characteristic
79	C₆₁×#395	C₂²	1	1	yes	characteristic
80	C₆₁×#394	C₂²	1	1	yes	characteristic
81	C₆₁×#394	C₂²	1	1	yes	characteristic
82	C₆₁×#394	C₂²	1	1	yes	characteristic
83	C₆₁×#394	C₂²	1	1	yes	characteristic
84	C₆₁×#394	C₂²	1	1	yes	characteristic
85	C₆₁×#394	C₂²	1	1	yes	characteristic
86	C₆₁×#394	C₂²	1	1	yes	characteristic
87	C₆₁×#394	C₂²	1	1	yes	characteristic
88	C₆₁×#394	C₂²	1	1	yes	characteristic
89	C₆₁×#394	C₂²	1	1	yes	characteristic
90	C₆₁×#394	C₂²	1	1	yes	characteristic
91	C₆₁×#394	C₂²	1	1	yes	characteristic
92	C₆₁×#394	C₂²	1	1	yes	characteristic
93	C₆₁×#394	C₂²	1	1	yes	characteristic
94	C₆₁×#394	C₂²	1	1	yes	characteristic
95	C₆₁×#394	C₂²	1	1	yes	characteristic
96	C₆₁×#394	C₂²	1	1	yes	characteristic
97	C₆₁×#394	C₂²	1	1	yes	characteristic
98	C₆₁×#393	C₂²	1	1	yes	characteristic
99	C₆₁×#393	C₂²	1	1	yes	characteristic
100	C₆₁×#393	C₂²	1	1	yes	characteristic
101	C₆₁×#392	C₂²	1	1	yes	characteristic
102	C₆₁×#392	C₂²	1	1	yes	characteristic
103	C₆₁×#392	C₂²	1	1	yes	characteristic
104	C₆₁×#392	C₂²	1	1	yes	characteristic
105	C₆₁×#392	C₂²	1	1	yes	characteristic
106	C₆₁×#392	C₂²	1	1	yes	characteristic
107	C₆₁×#391	C₂²	1	1	yes	characteristic
108	C₆₁×#390	C₂²	1	1	yes	characteristic
109	C₆₁×#390	C₂²	1	1	yes	characteristic
110	C₆₁×#390	C₂²	1	1	yes	characteristic
111	C₆₁×#390	C₂²	1	1	yes	characteristic
112	C₆₁×#390	C₂²	1	1	yes	characteristic
113	C₆₁×#390	C₂²	1	1	yes	characteristic
114	C₆₁×#390	C₂²	1	1	yes	characteristic
115	C₆₁×#390	C₂²	1	1	yes	characteristic
116	C₆₁×#390	C₂²	1	1	yes	characteristic
117	C₆₁×#390	C₂²	1	1	yes	characteristic
118	C₆₁×#390	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×#389	C₂²	1	1	yes	characteristic
124	C₆₁×#389	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×#388	C₂²	1	1	yes	characteristic
136	C₆₁×#388	C₂²	1	1	yes	characteristic
137	C₆₁×#388	C₂²	1	1	yes	characteristic
138	C₆₁×#388	C₂²	1	1	yes	characteristic
139	C₆₁×#388	C₂²	1	1	yes	characteristic
140	C₆₁×#388	C₂²	1	1	yes	characteristic
141	C₆₁×#388	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×#386	C₂²	1	1	yes	characteristic
152	C₆₁×#386	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×#386	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×#381	C₂²	1	1	yes	characteristic
177	C₆₁×#380	C₂²	1	1	yes	characteristic
178	C₆₁×#380	C₂²	1	1	yes	characteristic
179	C₆₁×#380	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
181	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
187	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
192	C₂²×D₄×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	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
203	C₂²×D₄×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	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
212	#127×C₆₁	—	4	2	no	—
213	#126×C₆₁	—	4	2	no	—
214	#124×C₆₁	—	4	2	no	—
215	#124×C₆₁	—	4	2	no	—
216	#124×C₆₁	—	4	2	no	—
217	#123×C₆₁	—	2	4	no	—
218	#123×C₆₁	—	4	2	no	—
219	#123×C₆₁	—	4	2	no	—
220	#123×C₆₁	—	4	2	no	—
221	#123×C₆₁	—	4	2	no	—
222	C₂²⋊Q₈×C₆₁	—	2	4	no	—
223	C₂²⋊Q₈×C₆₁	—	4	2	no	—
224	C₂²⋊Q₈×C₆₁	—	4	2	no	—
225	#121×C₆₁	—	2	4	no	—
226	#121×C₆₁	—	4	2	no	—
227	#121×C₆₁	—	4	2	no	—
228	#121×C₆₁	—	4	2	no	—
229	#121×C₆₁	—	4	2	no	—
230	#121×C₆₁	—	4	2	no	—
231	#121×C₆₁	—	4	2	no	—
232	#121×C₆₁	—	4	2	no	—
233	#121×C₆₁	—	4	2	no	—
234	#121×C₆₁	—	4	2	no	—
235	C₄×Q₈×C₆₁	—	4	2	no	—
236	C₄×D₄×C₆₁	—	4	2	no	—
237	#117×C₆₁	—	4	2	no	—
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×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊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×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₆₁	—	4	2	no	—
324	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
334	C₂×C₄²×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	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
370	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
375	C₂×Q₈×C₆₁	—	2	2	no	—
376	C₂×Q₈×C₆₁	—	2	2	no	—
377	C₂×Q₈×C₆₁	—	4	1	no	—
378	C₂×Q₈×C₆₁	—	4	1	no	—
379	C₂×Q₈×C₆₁	—	4	1	no	—
380	C₂×Q₈×C₆₁	—	4	1	no	—
381	C₂×D₄×C₆₁	—	2	2	no	—
382	C₂×D₄×C₆₁	—	2	2	no	—
383	C₂×D₄×C₆₁	—	2	2	no	—
384	C₂×D₄×C₆₁	—	2	2	no	—
385	C₂×D₄×C₆₁	—	2	2	no	—
386	C₂×D₄×C₆₁	—	2	2	no	—
387	C₂×D₄×C₆₁	—	2	2	no	—
388	C₂×D₄×C₆₁	—	2	2	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	—	4	1	no	—
407	C₂×D₄×C₆₁	—	4	1	no	—
408	C₂×D₄×C₆₁	—	4	1	no	—
409	C₂×D₄×C₆₁	—	4	1	no	—
410	C₂×D₄×C₆₁	—	4	1	no	—
411	C₂×D₄×C₆₁	—	4	1	no	—
412	C₂×D₄×C₆₁	—	4	1	no	—
413	C₂×D₄×C₆₁	—	4	1	no	—
414	C₂×D₄×C₆₁	—	4	1	no	—
415	C₂×D₄×C₆₁	—	4	1	no	—
416	C₂×D₄×C₆₁	—	4	1	no	—
417	C₂×D₄×C₆₁	—	4	1	no	—
418	C₂×D₄×C₆₁	—	4	1	no	—
419	C₂×D₄×C₆₁	—	4	1	no	—
420	C₂×D₄×C₆₁	—	4	1	no	—
421	C₂×D₄×C₆₁	—	4	1	no	—
422	C₂×D₄×C₆₁	—	4	1	no	—
423	C₂×D₄×C₆₁	—	4	1	no	—
424	C₂×D₄×C₆₁	—	4	1	no	—
425	C₂×D₄×C₆₁	—	4	1	no	—
426	C₂²×C₄×C₆₁	—	2	2	no	—
427	C₂²×C₄×C₆₁	—	2	2	no	—
428	C₂²×C₄×C₆₁	—	2	2	no	—
429	C₂²×C₄×C₆₁	—	2	2	no	—
430	C₂²×C₄×C₆₁	—	2	2	no	—
431	C₂²×C₄×C₆₁	—	2	2	no	—
432	C₂²×C₄×C₆₁	—	2	2	no	—
433	C₂²×C₄×C₆₁	—	2	2	no	—
434	C₂²×C₄×C₆₁	—	4	1	no	—
435	C₂²×C₄×C₆₁	—	4	1	no	—
436	C₂²×C₄×C₆₁	—	4	1	no	—
437	C₂²×C₄×C₆₁	—	4	1	no	—
438	C₂²×C₄×C₆₁	—	4	1	no	—
439	C₂²×C₄×C₆₁	—	4	1	no	—
440	C₂²×C₄×C₆₁	—	4	1	no	—
441	C₂²×C₄×C₆₁	—	4	1	no	—
442	C₂²×C₄×C₆₁	—	4	1	no	—
443	C₂²×C₄×C₆₁	—	4	1	no	—
444	C₂²×C₄×C₆₁	—	4	1	no	—
445	C₂²×C₄×C₆₁	—	4	1	no	—
446	C₂²×C₄×C₆₁	—	4	1	no	—
447	C₂²×C₄×C₆₁	—	4	1	no	—
448	C₂²×C₄×C₆₁	—	4	1	no	—
449	C₂²×C₄×C₆₁	—	4	1	no	—
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	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
475	C₄⋊C₄×C₆₁	—	2	2	no	—
476	C₄⋊C₄×C₆₁	—	2	2	no	—
477	C₄⋊C₄×C₆₁	—	2	2	no	—
478	C₄⋊C₄×C₆₁	—	2	2	no	—
479	C₄⋊C₄×C₆₁	—	2	2	no	—
480	C₄⋊C₄×C₆₁	—	2	2	no	—
481	C₄⋊C₄×C₆₁	—	2	2	no	—
482	C₄⋊C₄×C₆₁	—	2	2	no	—
483	C₄⋊C₄×C₆₁	—	2	2	no	—
484	C₄⋊C₄×C₆₁	—	2	2	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	—	4	1	no	—
496	C₄⋊C₄×C₆₁	—	4	1	no	—
497	C₄⋊C₄×C₆₁	—	4	1	no	—
498	C₄⋊C₄×C₆₁	—	4	1	no	—
499	C₄⋊C₄×C₆₁	—	4	1	no	—
500	C₄⋊C₄×C₆₁	—	4	1	no	—
501	C₄⋊C₄×C₆₁	—	4	1	no	—
502	C₄⋊C₄×C₆₁	—	4	1	no	—
503	C₄⋊C₄×C₆₁	—	4	1	no	—
504	C₄⋊C₄×C₆₁	—	4	1	no	—
505	C₄⋊C₄×C₆₁	—	4	1	no	—
506	C₄⋊C₄×C₆₁	—	4	1	no	—
507	C₄⋊C₄×C₆₁	#41	1	4	yes	—
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	—	2	2	no	—
516	C₂²⋊C₄×C₆₁	—	2	2	no	—
517	C₂²⋊C₄×C₆₁	—	2	2	no	—
518	C₂²⋊C₄×C₆₁	—	2	2	no	—
519	C₂²⋊C₄×C₆₁	—	2	2	no	—
520	C₂²⋊C₄×C₆₁	—	2	2	no	—
521	C₂²⋊C₄×C₆₁	—	2	2	no	—
522	C₂²⋊C₄×C₆₁	—	2	2	no	—
523	C₂²⋊C₄×C₆₁	—	2	2	no	—
524	C₂²⋊C₄×C₆₁	—	2	2	no	—
525	C₂²⋊C₄×C₆₁	—	2	2	no	—
526	C₂²⋊C₄×C₆₁	—	2	2	no	—
527	C₂²⋊C₄×C₆₁	—	2	2	no	—
528	C₂²⋊C₄×C₆₁	—	2	2	no	—
529	C₂²⋊C₄×C₆₁	—	2	2	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	—	4	1	no	—
535	C₂²⋊C₄×C₆₁	—	4	1	no	—
536	C₂²⋊C₄×C₆₁	—	4	1	no	—
537	C₂²⋊C₄×C₆₁	—	4	1	no	—
538	C₂²⋊C₄×C₆₁	—	4	1	no	—
539	C₂²⋊C₄×C₆₁	—	4	1	no	—
540	C₂²⋊C₄×C₆₁	—	4	1	no	—
541	C₂²⋊C₄×C₆₁	—	4	1	no	—
542	C₂²⋊C₄×C₆₁	—	4	1	no	—
543	C₂²⋊C₄×C₆₁	—	4	1	no	—
544	C₂²⋊C₄×C₆₁	—	4	1	no	—
545	C₂²⋊C₄×C₆₁	—	4	1	no	—
546	C₂²⋊C₄×C₆₁	—	4	1	no	—
547	C₂²⋊C₄×C₆₁	—	4	1	no	—
548	C₂²⋊C₄×C₆₁	—	4	1	no	—
549	C₂²⋊C₄×C₆₁	—	4	1	no	—
550	C₂²⋊C₄×C₆₁	—	4	1	no	—
551	C₂²⋊C₄×C₆₁	—	4	1	no	—
552	C₂²⋊C₄×C₆₁	—	4	1	no	—
553	C₂²⋊C₄×C₆₁	—	4	1	no	—
554	C₂²⋊C₄×C₆₁	—	4	1	no	—
555	C₂²⋊C₄×C₆₁	—	4	1	no	—
556	C₂²⋊C₄×C₆₁	—	4	1	no	—
557	C₂²⋊C₄×C₆₁	—	4	1	no	—
558	C₂²⋊C₄×C₆₁	—	4	1	no	—
559	C₂²⋊C₄×C₆₁	—	4	1	no	—
560	C₄²×C₆₁	—	2	2	no	—
561	C₄²×C₆₁	—	2	2	no	—
562	C₄²×C₆₁	—	2	2	no	—
563	C₄²×C₆₁	—	2	2	no	—
564	C₄²×C₆₁	—	4	1	no	—
565	C₄²×C₆₁	—	4	1	no	—
566	C₄²×C₆₁	—	4	1	no	—
567	C₄²×C₆₁	—	4	1	no	—
568	C₄²×C₆₁	—	4	1	no	—
569	C₄²×C₆₁	—	4	1	no	—
570	C₄²×C₆₁	—	4	1	no	—
571	C₂³×C₆₁	—	2	1	no	—
572	C₂³×C₆₁	—	2	1	no	—
573	C₂³×C₆₁	—	2	1	no	—
574	C₂³×C₆₁	—	2	1	no	—
575	C₂³×C₆₁	—	2	1	no	—
576	C₂³×C₆₁	—	2	1	no	—
577	C₂³×C₆₁	—	2	1	no	—
578	C₂³×C₆₁	—	2	1	no	—
579	C₂³×C₆₁	—	2	1	no	—
580	C₂³×C₆₁	—	2	1	no	—
581	C₂³×C₆₁	—	2	1	no	—
582	C₂³×C₆₁	—	2	1	no	—
583	C₂³×C₆₁	—	2	1	no	—
584	C₂³×C₆₁	—	2	1	no	—
585	C₂³×C₆₁	—	2	1	no	—
586	C₂³×C₆₁	—	2	1	no	—
587	C₂³×C₆₁	—	2	1	no	—
588	C₂³×C₆₁	—	2	1	no	—
589	C₂³×C₆₁	—	2	1	no	—
590	C₂³×C₆₁	—	2	1	no	—
591	C₂³×C₆₁	—	2	1	no	—
592	C₂³×C₆₁	—	2	1	no	—
593	C₂³×C₆₁	—	2	1	no	—
594	C₂³×C₆₁	—	2	1	no	—
595	C₂³×C₆₁	—	2	1	no	—
596	C₂³×C₆₁	—	2	1	no	—
597	C₂³×C₆₁	—	2	1	no	—
598	C₂³×C₆₁	—	2	1	no	—
599	C₂³×C₆₁	—	2	1	no	—
600	C₂³×C₆₁	—	2	1	no	—
601	C₂³×C₆₁	—	2	1	no	—
602	C₂³×C₆₁	—	2	1	no	—
603	C₂³×C₆₁	—	2	1	no	—
604	C₂³×C₆₁	—	2	1	no	—
605	C₂³×C₆₁	—	2	1	no	—
606	C₂³×C₆₁	—	2	1	no	—
607	C₂³×C₆₁	—	2	1	no	—
608	C₂³×C₆₁	—	2	1	no	—
609	C₂³×C₆₁	—	2	1	no	—
610	C₂³×C₆₁	—	2	1	no	—
611	C₂³×C₆₁	—	2	1	no	—
612	C₂³×C₆₁	H(5,𝔽₂)	1	2	yes	—
613	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
614	Q₈×C₆₁	—	4	4	no	—
615	Q₈×C₆₁	—	8	2	no	—
616	D₄×C₆₁	—	4	4	no	—
617	D₄×C₆₁	—	8	2	no	—
618	D₄×C₆₁	—	8	2	no	—
619	D₄×C₆₁	—	8	2	no	—
620	D₄×C₆₁	—	8	2	no	—
621	D₄×C₆₁	—	8	2	no	—
622	D₄×C₆₁	—	8	2	no	—
623	D₄×C₆₁	—	8	2	no	—
624	D₄×C₆₁	—	8	2	no	—
625	D₄×C₆₁	—	8	2	no	—
626	D₄×C₆₁	—	8	2	no	—
627	D₄×C₆₁	—	8	2	no	—
628	D₄×C₆₁	—	8	2	no	—
629	D₄×C₆₁	—	8	2	no	—
630	D₄×C₆₁	—	8	2	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	—	2	1	no	—
662	C₂×C₄×C₆₁	—	2	1	no	—
663	C₂×C₄×C₆₁	—	2	1	no	—
664	C₂×C₄×C₆₁	—	2	1	no	—
665	C₂×C₄×C₆₁	—	2	1	no	—
666	C₂×C₄×C₆₁	—	2	1	no	—
667	C₂×C₄×C₆₁	—	2	1	no	—
668	C₂×C₄×C₆₁	—	2	1	no	—
669	C₂×C₄×C₆₁	—	2	1	no	—
670	C₂×C₄×C₆₁	—	2	1	no	—
671	C₂×C₄×C₆₁	—	2	1	no	—
672	C₂×C₄×C₆₁	—	2	1	no	—
673	C₂×C₄×C₆₁	—	2	1	no	—
674	C₂×C₄×C₆₁	—	2	1	no	—
675	C₂×C₄×C₆₁	—	2	1	no	—
676	C₂×C₄×C₆₁	—	2	1	no	—
677	C₂×C₄×C₆₁	—	2	1	no	—
678	C₂×C₄×C₆₁	—	2	1	no	—
679	C₂×C₄×C₆₁	—	2	1	no	—
680	C₂×C₄×C₆₁	—	2	1	no	—
681	C₂×C₄×C₆₁	—	2	1	no	—
682	C₂×C₄×C₆₁	—	2	1	no	—
683	C₂×C₄×C₆₁	—	2	1	no	—
684	C₂×C₄×C₆₁	—	2	1	no	—
685	C₂×C₄×C₆₁	—	2	1	no	—
686	C₂×C₄×C₆₁	—	2	1	no	—
687	C₂×C₄×C₆₁	—	2	1	no	—
688	C₂×C₄×C₆₁	—	2	1	no	—
689	C₂×C₄×C₆₁	—	2	1	no	—
690	C₂×C₄×C₆₁	—	2	1	no	—
691	C₂×C₄×C₆₁	—	2	1	no	—
692	C₂×C₄×C₆₁	—	2	1	no	—
693	C₂×C₄×C₆₁	—	2	1	no	—
694	C₂×C₄×C₆₁	—	2	1	no	—
695	C₂×C₄×C₆₁	—	2	1	no	—
696	C₂×C₄×C₆₁	—	2	1	no	—
697	C₂×C₄×C₆₁	—	2	1	no	—
698	C₂×C₄×C₆₁	—	2	1	no	—
699	C₂×C₄×C₆₁	—	4	4	no	—
700	C₂×C₄×C₆₁	—	4	4	no	—
701	C₂×C₄×C₆₁	—	4	4	no	—
702	C₂×C₄×C₆₁	—	4	4	no	—
703	C₂×C₄×C₆₁	—	8	2	no	—
704	C₂×C₄×C₆₁	—	8	2	no	—
705	C₂×C₄×C₆₁	—	8	2	no	—
706	C₂×C₄×C₆₁	—	8	2	no	—
707	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
708	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
709	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
710	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
711	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
712	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
713	C₂×C₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
714	#36911	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
715	C₂²×C₆₁	—	2	2	no	—
716	C₂²×C₆₁	—	2	2	no	—
717	C₂²×C₆₁	—	2	2	no	—
718	C₂²×C₆₁	—	4	1	no	—
719	C₂²×C₆₁	—	4	1	no	—
720	C₂²×C₆₁	—	4	1	no	—
721	C₂²×C₆₁	—	4	1	no	—
722	C₂²×C₆₁	—	4	1	no	—
723	C₂²×C₆₁	—	4	1	no	—
724	C₂²×C₆₁	—	4	1	no	—
725	C₂²×C₆₁	—	4	1	no	—
726	C₂²×C₆₁	—	4	1	no	—
727	C₂²×C₆₁	—	4	1	no	—
728	C₂²×C₆₁	—	4	1	no	—
729	C₂²×C₆₁	—	4	1	no	—
730	C₂²×C₆₁	—	4	1	no	—
731	C₂²×C₆₁	—	4	1	no	—
732	C₂²×C₆₁	—	4	1	no	—
733	C₂²×C₆₁	—	4	1	no	—
734	C₂²×C₆₁	—	4	1	no	—
735	C₂²×C₆₁	—	4	1	no	—
736	C₂²×C₆₁	—	4	1	no	—
737	C₂²×C₆₁	—	4	1	no	—
738	C₂²×C₆₁	—	4	1	no	—
739	C₂²×C₆₁	—	4	1	no	—
740	C₂²×C₆₁	—	4	1	no	—
741	C₂²×C₆₁	—	4	1	no	—
742	C₂²×C₆₁	—	4	1	no	—
743	C₂²×C₆₁	—	4	1	no	—
744	C₂²×C₆₁	—	4	1	no	—
745	C₂²×C₆₁	—	4	1	no	—
746	C₂²×C₆₁	—	4	1	no	—
747	C₂²×C₆₁	—	4	1	no	—
748	C₂²×C₆₁	—	4	1	no	—
749	C₂²×C₆₁	—	4	1	no	—
750	C₂²×C₆₁	—	4	1	no	—
751	C₂²×C₆₁	—	4	1	no	—
752	C₂²×C₆₁	—	4	1	no	—
753	C₂²×C₆₁	—	4	1	no	—
754	C₂²×C₆₁	—	4	1	no	—
755	C₂²×C₆₁	—	4	1	no	—
756	C₂²×C₆₁	—	4	1	no	—
757	C₂²×C₆₁	C₂²×#41	1	1	yes	characteristic
758	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
759	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
760	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
761	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
762	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
763	C₂²×C₆₁	#585	1	1	yes	characteristic
764	C₄×C₆₁	—	2	2	no	—
765	C₄×C₆₁	—	2	2	no	—
766	C₄×C₆₁	—	2	2	no	—
767	C₄×C₆₁	—	2	2	no	—
768	C₄×C₆₁	—	2	2	no	—
769	C₄×C₆₁	—	2	2	no	—
770	C₄×C₆₁	—	2	2	no	—
771	C₄×C₆₁	—	4	1	no	—
772	C₄×C₆₁	—	4	1	no	—
773	C₄×C₆₁	—	4	1	no	—
774	C₄×C₆₁	—	4	1	no	—
775	C₄×C₆₁	—	4	1	no	—
776	C₄×C₆₁	—	4	1	no	—
777	C₄×C₆₁	—	4	1	no	—
778	C₄×C₆₁	—	4	1	no	—
779	C₄×C₆₁	—	4	1	no	—
780	C₄×C₆₁	—	4	1	no	—
781	C₄×C₆₁	—	4	1	no	—
782	C₄×C₆₁	—	4	1	no	—
783	C₄×C₆₁	—	4	1	no	—
784	C₄×C₆₁	—	4	1	no	—
785	C₄×C₆₁	—	4	1	no	—
786	C₄×C₆₁	—	4	1	no	—
787	C₄×C₆₁	—	4	1	no	—
788	C₄×C₆₁	—	4	1	no	—
789	#2856	C₂×C₆₁	1	1	yes	characteristic, complemented
790	#2853	C₂×C₆₁	1	1	yes	characteristic, complemented
791	#2803	C₂×C₆₁	1	1	yes	characteristic, complemented
792	#2792	C₂×C₆₁	1	1	yes	characteristic, complemented
793	#2790	C₂×C₆₁	1	1	yes	characteristic, complemented
794	#2780	C₂×C₆₁	1	1	yes	characteristic, complemented
795	#2710	C₂×C₆₁	1	1	yes	characteristic, complemented
796	#2709	C₂×C₆₁	1	1	yes	characteristic, complemented
797	#2701	C₂×C₆₁	1	1	yes	characteristic, complemented
798	#2692	C₂×C₆₁	1	1	yes	characteristic, complemented
799	#2686	C₂×C₆₁	1	1	yes	characteristic, complemented
800	#2682	C₂×C₆₁	1	1	yes	characteristic, complemented
801	#2681	C₂×C₆₁	1	1	yes	characteristic, complemented
802	#2676	C₂×C₆₁	1	1	yes	characteristic, complemented
803	#2673	C₂×C₆₁	1	1	yes	characteristic, complemented
804	#2672	C₂×C₆₁	1	1	yes	characteristic, complemented
805	#2671	C₂×C₆₁	1	1	yes	characteristic, complemented
806	#2671	C₂×C₆₁	1	1	yes	characteristic, complemented
807	#2662	C₂×C₆₁	1	1	yes	characteristic, complemented
808	#2651	C₂×C₆₁	1	1	yes	characteristic, complemented
809	#2559	C₂×C₆₁	1	1	yes	characteristic, complemented
810	#2555	C₂×C₆₁	1	1	yes	characteristic, complemented
811	#2479	C₂×C₆₁	1	1	yes	characteristic, complemented
812	#2476	C₂×C₆₁	1	1	yes	characteristic, complemented
813	#2464	C₂×C₆₁	1	1	yes	characteristic, complemented
814	#2461	C₂×C₆₁	1	1	yes	characteristic, complemented
815	#2458	C₂×C₆₁	1	1	yes	characteristic, complemented
816	#2426	C₂×C₆₁	1	1	yes	characteristic, complemented
817	#2335	C₂×C₆₁	1	1	yes	characteristic, complemented
818	#2324	C₂×C₆₁	1	1	yes	characteristic, complemented
819	C₄×C₂²⋊Q₈	C₂×C₆₁	1	1	yes	characteristic, complemented
820	C₂×C₆₁	—	4	2	no	—
821	C₂×C₆₁	—	8	1	no	—
822	C₂×C₆₁	—	8	1	no	—
823	C₂×C₆₁	—	8	1	no	—
824	C₂×C₆₁	—	8	1	no	—
825	C₂×C₆₁	—	8	1	no	—
826	C₂×C₆₁	#3460	1	1	yes	characteristic
827	C₂×C₆₁	#3519	1	1	yes	characteristic
828	C₂×C₆₁	#3522	1	1	yes	characteristic
829	C₂×C₆₁	#3534	1	1	yes	characteristic
830	C₂×C₆₁	#3536	1	1	yes	characteristic
831	C₂×C₆₁	#3543	1	1	yes	characteristic
832	C₂×C₆₁	#3547	1	1	yes	characteristic
833	C₂×#127	C₂²×C₆₁	1	1	yes	characteristic
834	C₂×#126	C₂²×C₆₁	1	1	yes	characteristic
835	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic
836	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic
837	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic
838	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
839	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
840	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
841	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
842	C₂×#123	C₂²×C₆₁	1	1	yes	characteristic
843	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
844	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
845	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
846	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
847	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
848	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
849	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
850	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
851	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
852	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
853	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
854	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
855	C₂×#121	C₂²×C₆₁	1	1	yes	characteristic
856	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
857	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
858	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic
859	C₂²×C₄²	C₂²×C₆₁	1	1	yes	characteristic
860	#400	C₂²×C₆₁	1	1	yes	characteristic
861	#399	C₂²×C₆₁	1	1	yes	characteristic
862	#399	C₂²×C₆₁	1	1	yes	characteristic
863	#399	C₂²×C₆₁	1	1	yes	characteristic
864	#398	C₂²×C₆₁	1	1	yes	characteristic
865	#398	C₂²×C₆₁	1	1	yes	characteristic
866	#398	C₂²×C₆₁	1	1	yes	characteristic
867	#398	C₂²×C₆₁	1	1	yes	characteristic
868	#398	C₂²×C₆₁	1	1	yes	characteristic
869	#398	C₂²×C₆₁	1	1	yes	characteristic
870	#397	C₂²×C₆₁	1	1	yes	characteristic
871	#397	C₂²×C₆₁	1	1	yes	characteristic
872	#396	C₂²×C₆₁	1	1	yes	characteristic
873	#396	C₂²×C₆₁	1	1	yes	characteristic
874	#396	C₂²×C₆₁	1	1	yes	characteristic
875	#396	C₂²×C₆₁	1	1	yes	characteristic
876	#396	C₂²×C₆₁	1	1	yes	characteristic
877	#396	C₂²×C₆₁	1	1	yes	characteristic
878	#395	C₂²×C₆₁	1	1	yes	characteristic
879	#395	C₂²×C₆₁	1	1	yes	characteristic
880	#395	C₂²×C₆₁	1	1	yes	characteristic
881	#394	C₂²×C₆₁	1	1	yes	characteristic
882	#394	C₂²×C₆₁	1	1	yes	characteristic
883	#394	C₂²×C₆₁	1	1	yes	characteristic
884	#394	C₂²×C₆₁	1	1	yes	characteristic
885	#394	C₂²×C₆₁	1	1	yes	characteristic
886	#394	C₂²×C₆₁	1	1	yes	characteristic
887	#394	C₂²×C₆₁	1	1	yes	characteristic
888	#394	C₂²×C₆₁	1	1	yes	characteristic
889	#394	C₂²×C₆₁	1	1	yes	characteristic
890	#394	C₂²×C₆₁	1	1	yes	characteristic
891	#394	C₂²×C₆₁	1	1	yes	characteristic
892	#394	C₂²×C₆₁	1	1	yes	characteristic
893	#394	C₂²×C₆₁	1	1	yes	characteristic
894	#394	C₂²×C₆₁	1	1	yes	characteristic
895	#394	C₂²×C₆₁	1	1	yes	characteristic
896	#394	C₂²×C₆₁	1	1	yes	characteristic
897	#394	C₂²×C₆₁	1	1	yes	characteristic
898	#394	C₂²×C₆₁	1	1	yes	characteristic
899	#393	C₂²×C₆₁	1	1	yes	characteristic
900	#393	C₂²×C₆₁	1	1	yes	characteristic
901	#393	C₂²×C₆₁	1	1	yes	characteristic
902	#392	C₂²×C₆₁	1	1	yes	characteristic
903	#392	C₂²×C₆₁	1	1	yes	characteristic
904	#392	C₂²×C₆₁	1	1	yes	characteristic
905	#392	C₂²×C₆₁	1	1	yes	characteristic
906	#392	C₂²×C₆₁	1	1	yes	characteristic
907	#392	C₂²×C₆₁	1	1	yes	characteristic
908	#391	C₂²×C₆₁	1	1	yes	characteristic
909	#390	C₂²×C₆₁	1	1	yes	characteristic
910	#390	C₂²×C₆₁	1	1	yes	characteristic
911	#390	C₂²×C₆₁	1	1	yes	characteristic
912	#390	C₂²×C₆₁	1	1	yes	characteristic
913	#390	C₂²×C₆₁	1	1	yes	characteristic
914	#390	C₂²×C₆₁	1	1	yes	characteristic
915	#390	C₂²×C₆₁	1	1	yes	characteristic
916	#390	C₂²×C₆₁	1	1	yes	characteristic
917	#390	C₂²×C₆₁	1	1	yes	characteristic
918	#390	C₂²×C₆₁	1	1	yes	characteristic
919	#390	C₂²×C₆₁	1	1	yes	characteristic
920	#389	C₂²×C₆₁	1	1	yes	characteristic
921	#389	C₂²×C₆₁	1	1	yes	characteristic
922	#389	C₂²×C₆₁	1	1	yes	characteristic
923	#389	C₂²×C₆₁	1	1	yes	characteristic
924	#389	C₂²×C₆₁	1	1	yes	characteristic
925	#389	C₂²×C₆₁	1	1	yes	characteristic
926	#388	C₂²×C₆₁	1	1	yes	characteristic
927	#388	C₂²×C₆₁	1	1	yes	characteristic
928	#388	C₂²×C₆₁	1	1	yes	characteristic
929	#388	C₂²×C₆₁	1	1	yes	characteristic
930	#388	C₂²×C₆₁	1	1	yes	characteristic
931	#388	C₂²×C₆₁	1	1	yes	characteristic
932	#388	C₂²×C₆₁	1	1	yes	characteristic
933	#388	C₂²×C₆₁	1	1	yes	characteristic
934	#388	C₂²×C₆₁	1	1	yes	characteristic
935	#388	C₂²×C₆₁	1	1	yes	characteristic
936	#388	C₂²×C₆₁	1	1	yes	characteristic
937	#388	C₂²×C₆₁	1	1	yes	characteristic
938	#388	C₂²×C₆₁	1	1	yes	characteristic
939	#388	C₂²×C₆₁	1	1	yes	characteristic
940	#388	C₂²×C₆₁	1	1	yes	characteristic
941	#388	C₂²×C₆₁	1	1	yes	characteristic
942	#388	C₂²×C₆₁	1	1	yes	characteristic
943	#387	C₂²×C₆₁	1	1	yes	characteristic
944	#387	C₂²×C₆₁	1	1	yes	characteristic
945	#387	C₂²×C₆₁	1	1	yes	characteristic
946	#387	C₂²×C₆₁	1	1	yes	characteristic
947	#387	C₂²×C₆₁	1	1	yes	characteristic
948	#387	C₂²×C₆₁	1	1	yes	characteristic
949	#387	C₂²×C₆₁	1	1	yes	characteristic
950	#387	C₂²×C₆₁	1	1	yes	characteristic
951	#387	C₂²×C₆₁	1	1	yes	characteristic
952	#386	C₂²×C₆₁	1	1	yes	characteristic
953	#386	C₂²×C₆₁	1	1	yes	characteristic
954	#386	C₂²×C₆₁	1	1	yes	characteristic
955	#386	C₂²×C₆₁	1	1	yes	characteristic
956	#386	C₂²×C₆₁	1	1	yes	characteristic
957	#386	C₂²×C₆₁	1	1	yes	characteristic
958	#386	C₂²×C₆₁	1	1	yes	characteristic
959	#386	C₂²×C₆₁	1	1	yes	characteristic
960	#386	C₂²×C₆₁	1	1	yes	characteristic
961	#386	C₂²×C₆₁	1	1	yes	characteristic
962	#386	C₂²×C₆₁	1	1	yes	characteristic
963	#386	C₂²×C₆₁	1	1	yes	characteristic
964	#386	C₂²×C₆₁	1	1	yes	characteristic
965	#385	C₂²×C₆₁	1	1	yes	characteristic
966	#385	C₂²×C₆₁	1	1	yes	characteristic
967	#385	C₂²×C₆₁	1	1	yes	characteristic
968	#385	C₂²×C₆₁	1	1	yes	characteristic
969	#385	C₂²×C₆₁	1	1	yes	characteristic
970	#385	C₂²×C₆₁	1	1	yes	characteristic
971	#385	C₂²×C₆₁	1	1	yes	characteristic
972	#385	C₂²×C₆₁	1	1	yes	characteristic
973	#385	C₂²×C₆₁	1	1	yes	characteristic
974	#385	C₂²×C₆₁	1	1	yes	characteristic
975	#385	C₂²×C₆₁	1	1	yes	characteristic
976	#384	C₂²×C₆₁	1	1	yes	characteristic
977	#381	C₂²×C₆₁	1	1	yes	characteristic
978	#380	C₂²×C₆₁	1	1	yes	characteristic
979	#380	C₂²×C₆₁	1	1	yes	characteristic
980	#380	C₂²×C₆₁	1	1	yes	characteristic
981	C₄×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
982	C₄×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
983	C₄×C₄⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
984	C₄×C₂²⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
985	C₄×C₂²⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
986	C₄×C₂²⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
987	C₄×C₂²⋊C₄	C₂²×C₆₁	1	1	yes	characteristic
988	C₆₁	#36911	1	1	yes	characteristic, direct product factor, Sylow
989	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
990	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
991	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
992	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
993	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
994	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
995	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
996	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
997	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
998	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
999	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1000	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1001	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1002	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1003	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1004	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1005	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1006	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1007	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1008	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1009	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1010	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1011	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1012	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1013	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1014	#127	—	4	2	no	—
1015	#126	—	4	2	no	—
1016	#124	—	4	2	no	—
1017	#124	—	4	2	no	—
1018	#124	—	4	2	no	—
1019	#123	—	2	4	no	—
1020	#123	—	4	2	no	—
1021	#123	—	4	2	no	—
1022	#123	—	4	2	no	—
1023	#123	—	4	2	no	—
1024	C₂²⋊Q₈	—	2	4	no	—
1025	C₂²⋊Q₈	—	4	2	no	—
1026	C₂²⋊Q₈	—	4	2	no	—
1027	#121	—	2	4	no	—
1028	#121	—	4	2	no	—
1029	#121	—	4	2	no	—
1030	#121	—	4	2	no	—
1031	#121	—	4	2	no	—
1032	#121	—	4	2	no	—
1033	#121	—	4	2	no	—
1034	#121	—	4	2	no	—
1035	#121	—	4	2	no	—
1036	#121	—	4	2	no	—
1037	C₄×Q₈	—	4	2	no	—
1038	C₄×D₄	—	4	2	no	—
1039	#117	—	4	2	no	—
1040	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1069	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1125	C₂×C₄²	—	4	2	no	—
1126	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1127	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1128	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1129	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1130	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1131	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1132	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1133	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1134	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1135	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1136	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1137	#95	C₂³×C₆₁	1	1	yes	characteristic
1138	#95	C₂³×C₆₁	1	1	yes	characteristic
1139	#95	C₂³×C₆₁	1	1	yes	characteristic
1140	#95	C₂³×C₆₁	1	1	yes	characteristic
1141	#95	C₂³×C₆₁	1	1	yes	characteristic
1142	#95	C₂³×C₆₁	1	1	yes	characteristic
1143	#95	C₂³×C₆₁	1	1	yes	characteristic
1144	#95	C₂³×C₆₁	1	1	yes	characteristic
1145	#95	C₂³×C₆₁	1	1	yes	characteristic
1146	#95	C₂³×C₆₁	1	1	yes	characteristic
1147	#95	C₂³×C₆₁	1	1	yes	characteristic
1148	#95	C₂³×C₆₁	1	1	yes	characteristic
1149	#95	C₂³×C₆₁	1	1	yes	characteristic
1150	#95	C₂³×C₆₁	1	1	yes	characteristic
1151	#95	C₂³×C₆₁	1	1	yes	characteristic
1152	#95	C₂³×C₆₁	1	1	yes	characteristic
1153	#95	C₂³×C₆₁	1	1	yes	characteristic
1154	#95	C₂³×C₆₁	1	1	yes	characteristic
1155	#95	C₂³×C₆₁	1	1	yes	characteristic
1156	#95	C₂³×C₆₁	1	1	yes	characteristic
1157	#95	C₂³×C₆₁	1	1	yes	characteristic
1158	#95	C₂³×C₆₁	1	1	yes	characteristic
1159	#95	C₂³×C₆₁	1	1	yes	characteristic
1160	#95	C₂³×C₆₁	1	1	yes	characteristic
1161	#95	C₂³×C₆₁	1	1	yes	characteristic
1162	#95	C₂³×C₆₁	1	1	yes	characteristic
1163	#95	C₂³×C₆₁	1	1	yes	characteristic
1164	#95	C₂³×C₆₁	1	1	yes	characteristic
1165	#95	C₂³×C₆₁	1	1	yes	characteristic
1166	#95	C₂³×C₆₁	1	1	yes	characteristic
1167	#95	C₂³×C₆₁	1	1	yes	characteristic
1168	#95	C₂³×C₆₁	1	1	yes	characteristic
1169	#95	C₂³×C₆₁	1	1	yes	characteristic
1170	#95	C₂³×C₆₁	1	1	yes	characteristic
1171	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1172	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1173	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1174	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1175	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1176	C₂⁴	C₂⁴×C₆₁	1	1	yes	characteristic
1177	C₂×Q₈	—	2	2	no	—
1178	C₂×Q₈	—	2	2	no	—
1179	C₂×Q₈	—	4	1	no	—
1180	C₂×Q₈	—	4	1	no	—
1181	C₂×Q₈	—	4	1	no	—
1182	C₂×Q₈	—	4	1	no	—
1183	C₂×D₄	—	2	2	no	—
1184	C₂×D₄	—	2	2	no	—
1185	C₂×D₄	—	2	2	no	—
1186	C₂×D₄	—	2	2	no	—
1187	C₂×D₄	—	2	2	no	—
1188	C₂×D₄	—	2	2	no	—
1189	C₂×D₄	—	2	2	no	—
1190	C₂×D₄	—	2	2	no	—
1191	C₂×D₄	—	2	2	no	—
1192	C₂×D₄	—	2	2	no	—
1193	C₂×D₄	—	2	2	no	—
1194	C₂×D₄	—	2	2	no	—
1195	C₂×D₄	—	2	2	no	—
1196	C₂×D₄	—	4	1	no	—
1197	C₂×D₄	—	4	1	no	—
1198	C₂×D₄	—	4	1	no	—
1199	C₂×D₄	—	4	1	no	—
1200	C₂×D₄	—	4	1	no	—
1201	C₂×D₄	—	4	1	no	—
1202	C₂×D₄	—	4	1	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	4	1	no	—
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	1	no	—
1208	C₂×D₄	—	4	1	no	—
1209	C₂×D₄	—	4	1	no	—
1210	C₂×D₄	—	4	1	no	—
1211	C₂×D₄	—	4	1	no	—
1212	C₂×D₄	—	4	1	no	—
1213	C₂×D₄	—	4	1	no	—
1214	C₂×D₄	—	4	1	no	—
1215	C₂×D₄	—	4	1	no	—
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	4	1	no	—
1220	C₂×D₄	—	4	1	no	—
1221	C₂×D₄	—	4	1	no	—
1222	C₂×D₄	—	4	1	no	—
1223	C₂×D₄	—	4	1	no	—
1224	C₂×D₄	—	4	1	no	—
1225	C₂×D₄	—	4	1	no	—
1226	C₂×D₄	—	4	1	no	—
1227	C₂×D₄	—	4	1	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	2	2	no	—
1230	C₂²×C₄	—	2	2	no	—
1231	C₂²×C₄	—	2	2	no	—
1232	C₂²×C₄	—	2	2	no	—
1233	C₂²×C₄	—	2	2	no	—
1234	C₂²×C₄	—	2	2	no	—
1235	C₂²×C₄	—	2	2	no	—
1236	C₂²×C₄	—	4	1	no	—
1237	C₂²×C₄	—	4	1	no	—
1238	C₂²×C₄	—	4	1	no	—
1239	C₂²×C₄	—	4	1	no	—
1240	C₂²×C₄	—	4	1	no	—
1241	C₂²×C₄	—	4	1	no	—
1242	C₂²×C₄	—	4	1	no	—
1243	C₂²×C₄	—	4	1	no	—
1244	C₂²×C₄	—	4	1	no	—
1245	C₂²×C₄	—	4	1	no	—
1246	C₂²×C₄	—	4	1	no	—
1247	C₂²×C₄	—	4	1	no	—
1248	C₂²×C₄	—	4	1	no	—
1249	C₂²×C₄	—	4	1	no	—
1250	C₂²×C₄	—	4	1	no	—
1251	C₂²×C₄	—	4	1	no	—
1252	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1271	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1272	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1276	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1277	C₄⋊C₄	—	2	2	no	—
1278	C₄⋊C₄	—	2	2	no	—
1279	C₄⋊C₄	—	2	2	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	2	2	no	—
1282	C₄⋊C₄	—	2	2	no	—
1283	C₄⋊C₄	—	2	2	no	—
1284	C₄⋊C₄	—	2	2	no	—
1285	C₄⋊C₄	—	2	2	no	—
1286	C₄⋊C₄	—	2	2	no	—
1287	C₄⋊C₄	—	4	1	no	—
1288	C₄⋊C₄	—	4	1	no	—
1289	C₄⋊C₄	—	4	1	no	—
1290	C₄⋊C₄	—	4	1	no	—
1291	C₄⋊C₄	—	4	1	no	—
1292	C₄⋊C₄	—	4	1	no	—
1293	C₄⋊C₄	—	4	1	no	—
1294	C₄⋊C₄	—	4	1	no	—
1295	C₄⋊C₄	—	4	1	no	—
1296	C₄⋊C₄	—	4	1	no	—
1297	C₄⋊C₄	—	4	1	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	4	1	no	—
1300	C₄⋊C₄	—	4	1	no	—
1301	C₄⋊C₄	—	4	1	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₄⋊C₄	#41×C₆₁	1	4	yes	—
1310	C₂²⋊C₄	—	2	2	no	—
1311	C₂²⋊C₄	—	2	2	no	—
1312	C₂²⋊C₄	—	2	2	no	—
1313	C₂²⋊C₄	—	2	2	no	—
1314	C₂²⋊C₄	—	2	2	no	—
1315	C₂²⋊C₄	—	2	2	no	—
1316	C₂²⋊C₄	—	2	2	no	—
1317	C₂²⋊C₄	—	2	2	no	—
1318	C₂²⋊C₄	—	2	2	no	—
1319	C₂²⋊C₄	—	2	2	no	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	2	2	no	—
1323	C₂²⋊C₄	—	2	2	no	—
1324	C₂²⋊C₄	—	2	2	no	—
1325	C₂²⋊C₄	—	2	2	no	—
1326	C₂²⋊C₄	—	2	2	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₂²⋊C₄	—	4	1	no	—
1337	C₂²⋊C₄	—	4	1	no	—
1338	C₂²⋊C₄	—	4	1	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	4	1	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₂²⋊C₄	—	4	1	no	—
1346	C₂²⋊C₄	—	4	1	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	4	1	no	—
1349	C₂²⋊C₄	—	4	1	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₂²⋊C₄	—	4	1	no	—
1352	C₂²⋊C₄	—	4	1	no	—
1353	C₂²⋊C₄	—	4	1	no	—
1354	C₂²⋊C₄	—	4	1	no	—
1355	C₂²⋊C₄	—	4	1	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₄²	—	2	2	no	—
1363	C₄²	—	2	2	no	—
1364	C₄²	—	2	2	no	—
1365	C₄²	—	2	2	no	—
1366	C₄²	—	4	1	no	—
1367	C₄²	—	4	1	no	—
1368	C₄²	—	4	1	no	—
1369	C₄²	—	4	1	no	—
1370	C₄²	—	4	1	no	—
1371	C₄²	—	4	1	no	—
1372	C₄²	—	4	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	H(5,𝔽₂)×C₆₁	1	2	yes	—
1415	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1416	Q₈	—	4	4	no	—
1417	Q₈	—	8	2	no	—
1418	D₄	—	4	4	no	—
1419	D₄	—	8	2	no	—
1420	D₄	—	8	2	no	—
1421	D₄	—	8	2	no	—
1422	D₄	—	8	2	no	—
1423	D₄	—	8	2	no	—
1424	D₄	—	8	2	no	—
1425	D₄	—	8	2	no	—
1426	D₄	—	8	2	no	—
1427	D₄	—	8	2	no	—
1428	D₄	—	8	2	no	—
1429	D₄	—	8	2	no	—
1430	D₄	—	8	2	no	—
1431	D₄	—	8	2	no	—
1432	D₄	—	8	2	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	4	4	no	—
1502	C₂×C₄	—	4	4	no	—
1503	C₂×C₄	—	4	4	no	—
1504	C₂×C₄	—	4	4	no	—
1505	C₂×C₄	—	8	2	no	—
1506	C₂×C₄	—	8	2	no	—
1507	C₂×C₄	—	8	2	no	—
1508	C₂×C₄	—	8	2	no	—
1509	C₂×C₄	C₂×#41×C₆₁	1	2	yes	—
1510	C₂×C₄	C₂×#41×C₆₁	1	2	yes	—
1511	C₂×C₄	C₂×#41×C₆₁	1	2	yes	—
1512	C₂×C₄	H(5,𝔽₂)×C₆₁	1	2	yes	—
1513	C₂×C₄	H(5,𝔽₂)×C₆₁	1	2	yes	—
1514	C₂×C₄	H(5,𝔽₂)×C₆₁	1	2	yes	—
1515	C₂×C₄	2₋¹⁺⁴×C₆₁	1	2	yes	—
1516	C₂²	—	2	2	no	—
1517	C₂²	—	2	2	no	—
1518	C₂²	—	2	2	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	C₂²×#41×C₆₁	1	1	yes	characteristic
1559	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1560	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1561	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1562	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1563	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1564	C₂²	C₆₁×#585	1	1	yes	characteristic
1565	C₄	—	2	2	no	—
1566	C₄	—	2	2	no	—
1567	C₄	—	2	2	no	—
1568	C₄	—	2	2	no	—
1569	C₄	—	2	2	no	—
1570	C₄	—	2	2	no	—
1571	C₄	—	2	2	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	—	4	1	no	—
1577	C₄	—	4	1	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	4	1	no	—
1580	C₄	—	4	1	no	—
1581	C₄	—	4	1	no	—
1582	C₄	—	4	1	no	—
1583	C₄	—	4	1	no	—
1584	C₄	—	4	1	no	—
1585	C₄	—	4	1	no	—
1586	C₄	—	4	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₂	—	4	2	no	—
1591	C₂	—	8	1	no	—
1592	C₂	—	8	1	no	—
1593	C₂	—	8	1	no	—
1594	C₂	—	8	1	no	—
1595	C₂	—	8	1	no	—
1596	C₂	C₆₁×#3460	1	1	yes	characteristic
1597	C₂	C₆₁×#3519	1	1	yes	characteristic
1598	C₂	C₆₁×#3522	1	1	yes	characteristic
1599	C₂	C₆₁×#3534	1	1	yes	characteristic
1600	C₂	C₆₁×#3536	1	1	yes	characteristic
1601	C₂	C₆₁×#3543	1	1	yes	characteristic
1602	C₂	C₆₁×#3547	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₆₁
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. C₆₁×#2856	C₂	semidirect
2. C₆₁×#2853	C₂	semidirect
3. C₆₁×#2803	C₂	semidirect
4. C₆₁×#2792	C₂	semidirect
5. C₆₁×#2790	C₂	semidirect
6. C₆₁×#2780	C₂	semidirect
7. C₆₁×#2710	C₂	semidirect
8. C₆₁×#2709	C₂	semidirect
9. C₆₁×#2701	C₂	semidirect
10. C₆₁×#2692	C₂	semidirect
11. C₆₁×#2686	C₂	semidirect
12. C₆₁×#2682	C₂	semidirect
13. C₆₁×#2681	C₂	semidirect
14. C₆₁×#2676	C₂	semidirect
15. C₆₁×#2673	C₂	semidirect
16. C₆₁×#2672	C₂	semidirect
17. C₆₁×#2671	C₂	semidirect
18. C₆₁×#2671	C₂	semidirect
19. C₆₁×#2662	C₂	semidirect
20. C₆₁×#2651	C₂	semidirect
21. C₆₁×#2559	C₂	semidirect
22. C₆₁×#2555	C₂	semidirect
23. C₆₁×#2479	C₂	semidirect
24. C₆₁×#2476	C₂	semidirect
25. C₆₁×#2464	C₂	semidirect
26. C₆₁×#2461	C₂	semidirect
27. C₆₁×#2458	C₂	semidirect
28. C₆₁×#2426	C₂	semidirect
29. C₆₁×#2335	C₂	semidirect
30. C₆₁×#2324	C₂	semidirect
31. C₄×C₂²⋊Q₈×C₆₁	C₂	semidirect
714. #36911	C₆₁	direct (N × H)
789. #2856	C₂×C₆₁	semidirect
790. #2853	C₂×C₆₁	semidirect
791. #2803	C₂×C₆₁	semidirect
792. #2792	C₂×C₆₁	semidirect
793. #2790	C₂×C₆₁	semidirect
794. #2780	C₂×C₆₁	semidirect
795. #2710	C₂×C₆₁	semidirect
796. #2709	C₂×C₆₁	semidirect
797. #2701	C₂×C₆₁	semidirect
798. #2692	C₂×C₆₁	semidirect
799. #2686	C₂×C₆₁	semidirect
800. #2682	C₂×C₆₁	semidirect
801. #2681	C₂×C₆₁	semidirect
802. #2676	C₂×C₆₁	semidirect
803. #2673	C₂×C₆₁	semidirect
804. #2672	C₂×C₆₁	semidirect
805. #2671	C₂×C₆₁	semidirect
806. #2671	C₂×C₆₁	semidirect
807. #2662	C₂×C₆₁	semidirect
808. #2651	C₂×C₆₁	semidirect
809. #2559	C₂×C₆₁	semidirect
810. #2555	C₂×C₆₁	semidirect
811. #2479	C₂×C₆₁	semidirect
812. #2476	C₂×C₆₁	semidirect
813. #2464	C₂×C₆₁	semidirect
814. #2461	C₂×C₆₁	semidirect
815. #2458	C₂×C₆₁	semidirect
816. #2426	C₂×C₆₁	semidirect
817. #2335	C₂×C₆₁	semidirect
818. #2324	C₂×C₆₁	semidirect
819. C₄×C₂²⋊Q₈	C₂×C₆₁	semidirect
988. C₆₁	#36911	direct (N × H)

Maximal subgroups

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

subgroup	index
C₆₁×#2856	2
C₆₁×#2853	2
C₆₁×#2803	2
C₆₁×#2792	2
C₆₁×#2790	2
C₆₁×#2780	2
C₆₁×#2710	2
C₆₁×#2709	2
C₆₁×#2701	2
C₆₁×#2692	2
C₆₁×#2686	2
C₆₁×#2682	2
C₆₁×#2681	2
C₆₁×#2676	2
C₆₁×#2673	2
C₆₁×#2672	2
C₆₁×#2671	2
C₆₁×#2662	2
C₆₁×#2651	2
C₆₁×#2559	2
C₆₁×#2555	2
C₆₁×#2479	2
C₆₁×#2476	2
C₆₁×#2464	2
C₆₁×#2461	2
C₆₁×#2458	2
C₆₁×#2426	2
C₆₁×#2335	2
C₆₁×#2324	2
C₄×C₂²⋊Q₈×C₆₁	2
#36911	61

Subgroups — C61×#36911 #29540344

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#36911 #29540344