Subgroups — C₆₁×#61760 #29565193

Order 15616.

1696 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3540	C₂	1	1	yes	maximal, characteristic
2	C₆₁×#3495	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3357	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3356	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3349	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3349	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3348	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3348	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3342	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3340	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3327	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3314	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3313	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3311	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3296	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3244	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3243	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3202	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3200	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3196	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3190	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3097	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#3096	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#3093	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#3091	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2976	C₂	1	1	yes	maximal, characteristic, complemented
32	C₆₁×H(3,𝔽₄)	—	2	1	no	—
33	C₆₁×#560	—	2	1	no	—
34	C₆₁×#559	—	2	1	no	—
35	C₆₁×#556	C₂²	1	1	yes	characteristic
36	C₆₁×#556	C₂²	1	1	yes	characteristic
37	C₆₁×#556	C₂²	1	1	yes	characteristic
38	C₆₁×#556	C₂²	1	1	yes	characteristic, complemented
39	C₆₁×#555	C₂²	1	1	yes	characteristic
40	C₆₁×#555	C₂²	1	1	yes	characteristic
41	C₆₁×#554	C₂²	1	1	yes	characteristic
42	C₆₁×#554	C₂²	1	1	yes	characteristic, complemented
43	C₆₁×#552	—	2	1	no	—
44	C₆₁×#552	—	2	1	no	—
45	C₆₁×#552	C₂²	1	1	yes	characteristic
46	C₆₁×#552	C₂²	1	1	yes	characteristic
47	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
48	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
49	C₆₁×#551	—	2	1	no	—
50	C₆₁×#551	—	2	1	no	—
51	C₆₁×#551	—	2	1	no	—
52	C₆₁×#548	C₂²	1	1	yes	characteristic
53	C₆₁×#548	C₂²	1	1	yes	characteristic
54	C₆₁×#546	C₂²	1	1	yes	characteristic
55	C₆₁×#546	C₂²	1	1	yes	characteristic
56	C₆₁×#544	C₂²	1	1	yes	characteristic, complemented
57	C₆₁×#542	—	2	1	no	—
58	C₆₁×#542	—	2	1	no	—
59	C₆₁×#542	—	2	1	no	—
60	C₆₁×#542	C₂²	1	1	yes	characteristic
61	C₆₁×#542	C₂²	1	1	yes	characteristic
62	C₆₁×#541	—	2	1	no	—
63	C₆₁×#538	—	2	1	no	—
64	C₆₁×#538	—	2	1	no	—
65	C₆₁×#536	C₂²	1	1	yes	characteristic
66	C₆₁×#536	C₂²	1	1	yes	characteristic
67	C₆₁×#535	C₂²	1	1	yes	characteristic
68	C₆₁×#533	—	2	1	no	—
69	C₆₁×#529	—	2	1	no	—
70	C₆₁×#525	C₂²	1	1	yes	characteristic
71	C₆₁×#525	C₂²	1	1	yes	characteristic
72	C₆₁×#525	C₂²	1	1	yes	characteristic
73	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
74	C₆₁×#520	C₂²	1	1	yes	characteristic
75	C₆₁×#519	C₂²	1	1	yes	characteristic, complemented
76	C₂×#117×C₆₁	C₂²	1	1	yes	characteristic, complemented
77	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
78	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
79	C₆₁×#500	C₂²	1	1	yes	characteristic, complemented
80	C₆₁×#498	C₂²	1	1	yes	characteristic, complemented
81	C₆₁×#489	C₂²	1	1	yes	characteristic, complemented
82	C₆₁×#489	C₂²	1	1	yes	characteristic, complemented
83	C₆₁×#488	C₂²	1	1	yes	characteristic, complemented
84	C₆₁×#488	C₂²	1	1	yes	characteristic, complemented
85	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
86	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
87	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
88	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
89	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
90	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
91	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
92	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
93	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
94	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
95	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
96	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
97	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
98	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
99	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
100	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
101	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
102	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
103	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
104	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
105	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
106	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
107	C₆₁×#482	C₂²	1	1	yes	characteristic
108	C₆₁×#482	C₂²	1	1	yes	characteristic
109	C₆₁×#482	C₂²	1	1	yes	characteristic
110	C₆₁×#482	C₂²	1	1	yes	characteristic
111	C₆₁×#482	C₂²	1	1	yes	characteristic
112	C₆₁×#482	C₂²	1	1	yes	characteristic
113	C₆₁×#482	C₂²	1	1	yes	characteristic, complemented
114	C₆₁×#482	C₂²	1	1	yes	characteristic, complemented
115	C₆₁×#481	C₂²	1	1	yes	characteristic
116	C₆₁×#481	C₂²	1	1	yes	characteristic
117	C₆₁×#481	C₂²	1	1	yes	characteristic, complemented
118	C₆₁×#480	C₂²	1	1	yes	characteristic
119	C₆₁×#480	C₂²	1	1	yes	characteristic
120	C₆₁×#480	C₂²	1	1	yes	characteristic, complemented
121	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
122	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
123	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
124	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
125	C₆₁×#477	C₂²	1	1	yes	characteristic, complemented
126	C₆₁×#477	C₂²	1	1	yes	characteristic, complemented
127	C₆₁×#477	C₂²	1	1	yes	characteristic, complemented
128	C₆₁×#476	C₂²	1	1	yes	characteristic, complemented
129	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
130	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
131	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
132	C₆₁×#474	C₂²	1	1	yes	characteristic, complemented
133	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
134	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
135	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
136	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
137	C₆₁×#468	C₂²	1	1	yes	characteristic
138	C₆₁×#468	C₂²	1	1	yes	characteristic
139	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
140	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
141	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
142	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
143	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
144	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
145	C₆₁×#465	C₂²	1	1	yes	characteristic
146	C₆₁×#465	C₂²	1	1	yes	characteristic
147	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
148	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
149	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
150	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
151	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
152	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
153	C₆₁×#452	C₂²	1	1	yes	characteristic
154	C₆₁×#452	C₂²	1	1	yes	characteristic
155	C₆₁×#452	C₂²	1	1	yes	characteristic
156	C₆₁×#452	C₂²	1	1	yes	characteristic
157	C₆₁×#451	C₂²	1	1	yes	characteristic, complemented
158	C₆₁×#451	C₂²	1	1	yes	characteristic, complemented
159	C₆₁×#451	C₂²	1	1	yes	characteristic, complemented
160	C₆₁×#451	C₂²	1	1	yes	characteristic, complemented
161	C₆₁×#450	C₂²	1	1	yes	characteristic, complemented
162	C₆₁×#450	C₂²	1	1	yes	characteristic, complemented
163	C₆₁×#448	C₂²	1	1	yes	characteristic
164	C₆₁×#448	C₂²	1	1	yes	characteristic
165	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
166	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
167	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
168	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
169	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
170	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
172	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
173	C₆₁×#436	C₂²	1	1	yes	characteristic
174	C₆₁×#436	C₂²	1	1	yes	characteristic, complemented
175	C₆₁×#435	C₂²	1	1	yes	characteristic
176	C₆₁×#435	C₂²	1	1	yes	characteristic
177	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
178	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
179	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
180	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
181	C₆₁×#433	C₂²	1	1	yes	characteristic, complemented
182	C₆₁×#433	C₂²	1	1	yes	characteristic, complemented
183	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
184	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
185	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
186	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
187	C₆₁×#427	C₂²	1	1	yes	characteristic, complemented
188	C₆₁×#427	C₂²	1	1	yes	characteristic, complemented
189	C₆₁×#427	C₂²	1	1	yes	characteristic, complemented
190	C₆₁×#427	C₂²	1	1	yes	characteristic, complemented
191	C₆₁×#419	C₂²	1	1	yes	characteristic, complemented
192	C₆₁×#418	C₂²	1	1	yes	characteristic, complemented
193	C₆₁×#417	C₂²	1	1	yes	characteristic
194	C₆₁×#417	C₂²	1	1	yes	characteristic
195	C₆₁×#416	C₂²	1	1	yes	characteristic
196	C₆₁×#416	C₂²	1	1	yes	characteristic
197	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic, complemented
198	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic, complemented
199	C₆₁×#408	C₂²	1	1	yes	characteristic
200	C₆₁×#408	C₂²	1	1	yes	characteristic
201	C₆₁×#407	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂²⋊C₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
220	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
221	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
226	C₄⋊Q₈×C₆₁	—	2	1	no	—
227	C₄⋊Q₈×C₆₁	—	2	1	no	—
228	C₄⋊Q₈×C₆₁	—	2	1	no	—
229	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
230	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
232	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
233	#127×C₆₁	—	2	1	no	—
234	#126×C₆₁	—	2	1	no	—
235	#126×C₆₁	—	2	1	no	—
236	#126×C₆₁	—	2	1	no	—
237	#126×C₆₁	—	2	1	no	—
238	#126×C₆₁	—	2	1	no	—
239	#126×C₆₁	—	2	1	no	—
240	#126×C₆₁	—	2	1	no	—
241	#126×C₆₁	—	2	1	no	—
242	#126×C₆₁	—	2	1	no	—
243	#126×C₆₁	—	2	1	no	—
244	#126×C₆₁	—	2	1	no	—
245	#126×C₆₁	—	2	1	no	—
246	#126×C₆₁	—	2	1	no	—
247	#126×C₆₁	—	2	1	no	—
248	#125×C₆₁	—	2	1	no	—
249	#125×C₆₁	—	2	1	no	—
250	#125×C₆₁	—	2	1	no	—
251	#125×C₆₁	—	2	1	no	—
252	#125×C₆₁	—	2	1	no	—
253	#125×C₆₁	—	2	1	no	—
254	#125×C₆₁	—	2	1	no	—
255	#125×C₆₁	C₂³	1	1	yes	characteristic
256	#125×C₆₁	C₂³	1	1	yes	characteristic
257	#124×C₆₁	—	2	1	no	—
258	#124×C₆₁	—	2	1	no	—
259	#124×C₆₁	—	2	1	no	—
260	#124×C₆₁	—	2	1	no	—
261	#124×C₆₁	—	2	1	no	—
262	#124×C₆₁	—	2	1	no	—
263	#124×C₆₁	—	2	1	no	—
264	#124×C₆₁	—	2	1	no	—
265	#124×C₆₁	—	2	1	no	—
266	#124×C₆₁	—	2	1	no	—
267	#124×C₆₁	—	2	1	no	—
268	#124×C₆₁	—	2	1	no	—
269	#124×C₆₁	—	2	1	no	—
270	#124×C₆₁	—	2	1	no	—
271	#124×C₆₁	—	2	1	no	—
272	#124×C₆₁	C₂³	1	1	yes	characteristic
273	#124×C₆₁	C₂³	1	1	yes	characteristic
274	#123×C₆₁	—	2	1	no	—
275	#123×C₆₁	—	2	1	no	—
276	#123×C₆₁	—	2	1	no	—
277	#123×C₆₁	—	2	1	no	—
278	#123×C₆₁	—	2	1	no	—
279	#123×C₆₁	—	2	1	no	—
280	#123×C₆₁	—	2	1	no	—
281	#123×C₆₁	—	2	1	no	—
282	#123×C₆₁	—	2	1	no	—
283	#123×C₆₁	—	2	1	no	—
284	#123×C₆₁	—	2	1	no	—
285	#123×C₆₁	—	2	1	no	—
286	#123×C₆₁	—	2	1	no	—
287	#123×C₆₁	—	2	1	no	—
288	#123×C₆₁	D₄	1	1	yes	characteristic
289	#123×C₆₁	D₄	1	1	yes	characteristic
290	C₂²⋊Q₈×C₆₁	—	2	1	no	—
291	C₂²⋊Q₈×C₆₁	—	2	1	no	—
292	C₂²⋊Q₈×C₆₁	—	2	1	no	—
293	C₂²⋊Q₈×C₆₁	—	2	1	no	—
294	C₂²⋊Q₈×C₆₁	—	2	1	no	—
295	C₂²⋊Q₈×C₆₁	—	2	1	no	—
296	C₂²⋊Q₈×C₆₁	—	2	1	no	—
297	C₂²⋊Q₈×C₆₁	—	2	1	no	—
298	C₂²⋊Q₈×C₆₁	—	2	1	no	—
299	C₂²⋊Q₈×C₆₁	—	2	1	no	—
300	C₂²⋊Q₈×C₆₁	—	2	1	no	—
301	C₂²⋊Q₈×C₆₁	—	2	1	no	—
302	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
303	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
304	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
305	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
306	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
307	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
308	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
309	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
310	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
311	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
312	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
313	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
314	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
315	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
316	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
318	#121×C₆₁	—	2	1	no	—
319	#121×C₆₁	—	2	1	no	—
320	#121×C₆₁	—	2	1	no	—
321	#121×C₆₁	—	2	1	no	—
322	#121×C₆₁	—	2	1	no	—
323	#121×C₆₁	—	2	1	no	—
324	#121×C₆₁	D₄	1	1	yes	characteristic
325	#121×C₆₁	D₄	1	1	yes	characteristic
326	#121×C₆₁	C₂³	1	1	yes	characteristic
327	#121×C₆₁	C₂³	1	1	yes	characteristic
328	#121×C₆₁	C₂³	1	1	yes	characteristic
329	#121×C₆₁	C₂³	1	1	yes	characteristic
330	#121×C₆₁	C₂³	1	1	yes	characteristic
331	#121×C₆₁	C₂³	1	1	yes	characteristic
332	#120×C₆₁	—	2	1	no	—
333	#120×C₆₁	—	2	1	no	—
334	#120×C₆₁	—	2	1	no	—
335	#120×C₆₁	—	2	1	no	—
336	#120×C₆₁	—	2	1	no	—
337	#120×C₆₁	—	2	1	no	—
338	#120×C₆₁	D₄	1	1	yes	characteristic
339	#120×C₆₁	D₄	1	1	yes	characteristic
340	C₄×Q₈×C₆₁	—	2	1	no	—
341	C₄×Q₈×C₆₁	—	2	1	no	—
342	C₄×Q₈×C₆₁	—	2	1	no	—
343	C₄×Q₈×C₆₁	—	2	1	no	—
344	C₄×Q₈×C₆₁	—	2	1	no	—
345	C₄×Q₈×C₆₁	—	2	1	no	—
346	C₄×Q₈×C₆₁	—	2	1	no	—
347	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
353	C₄×D₄×C₆₁	—	2	1	no	—
354	C₄×D₄×C₆₁	—	2	1	no	—
355	C₄×D₄×C₆₁	—	2	1	no	—
356	C₄×D₄×C₆₁	—	2	1	no	—
357	C₄×D₄×C₆₁	—	2	1	no	—
358	C₄×D₄×C₆₁	—	2	1	no	—
359	C₄×D₄×C₆₁	—	2	1	no	—
360	C₄×D₄×C₆₁	—	2	1	no	—
361	C₄×D₄×C₆₁	—	2	1	no	—
362	C₄×D₄×C₆₁	—	2	1	no	—
363	C₄×D₄×C₆₁	—	2	1	no	—
364	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
370	#117×C₆₁	—	2	1	no	—
371	#117×C₆₁	—	2	1	no	—
372	#117×C₆₁	—	2	1	no	—
373	#117×C₆₁	—	2	1	no	—
374	#117×C₆₁	—	2	1	no	—
375	#117×C₆₁	—	2	1	no	—
376	#117×C₆₁	—	2	1	no	—
377	#117×C₆₁	—	2	1	no	—
378	#117×C₆₁	—	2	1	no	—
379	#117×C₆₁	—	2	1	no	—
380	#117×C₆₁	C₂³	1	1	yes	characteristic
381	#117×C₆₁	C₂³	1	1	yes	characteristic
382	#117×C₆₁	C₂³	1	1	yes	characteristic
383	#117×C₆₁	C₂³	1	1	yes	characteristic
384	#117×C₆₁	C₂³	1	1	yes	characteristic
385	#117×C₆₁	C₂³	1	1	yes	characteristic
386	#117×C₆₁	C₂³	1	1	yes	characteristic
387	#117×C₆₁	C₂³	1	1	yes	characteristic
388	#117×C₆₁	C₂³	1	1	yes	characteristic
389	#117×C₆₁	C₂³	1	1	yes	characteristic
390	#117×C₆₁	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
392	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
397	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
398	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
399	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
401	C₂×C₄²×C₆₁	—	2	1	no	—
402	#107×C₆₁	C₂³	1	1	yes	characteristic
403	#107×C₆₁	C₂³	1	1	yes	characteristic
404	#107×C₆₁	C₂³	1	1	yes	characteristic
405	#107×C₆₁	C₂³	1	1	yes	characteristic
406	#107×C₆₁	C₂³	1	1	yes	characteristic
407	#107×C₆₁	C₂³	1	1	yes	characteristic
408	#107×C₆₁	C₂³	1	1	yes	characteristic
409	#107×C₆₁	C₂³	1	1	yes	characteristic
410	#107×C₆₁	C₂³	1	1	yes	characteristic
411	#107×C₆₁	C₂³	1	1	yes	characteristic
412	#107×C₆₁	C₂³	1	1	yes	characteristic
413	#107×C₆₁	C₂³	1	1	yes	characteristic
414	#106×C₆₁	C₂³	1	1	yes	characteristic
415	#106×C₆₁	C₂³	1	1	yes	characteristic
416	#106×C₆₁	C₂³	1	1	yes	characteristic
417	#106×C₆₁	C₂³	1	1	yes	characteristic
418	#106×C₆₁	C₂³	1	1	yes	characteristic
419	#106×C₆₁	C₂³	1	1	yes	characteristic
420	#106×C₆₁	C₂³	1	1	yes	characteristic
421	#106×C₆₁	C₂³	1	1	yes	characteristic
422	#106×C₆₁	C₂³	1	1	yes	characteristic
423	#106×C₆₁	C₂³	1	1	yes	characteristic
424	#106×C₆₁	C₂³	1	1	yes	characteristic
425	#106×C₆₁	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
430	#103×C₆₁	C₂³	1	1	yes	characteristic
431	#103×C₆₁	C₂³	1	1	yes	characteristic
432	#103×C₆₁	C₂³	1	1	yes	characteristic
433	#103×C₆₁	C₂³	1	1	yes	characteristic
434	#103×C₆₁	C₂³	1	1	yes	characteristic
435	#103×C₆₁	C₂³	1	1	yes	characteristic
436	#103×C₆₁	C₂³	1	1	yes	characteristic
437	#103×C₆₁	C₂³	1	1	yes	characteristic
438	#103×C₆₁	C₂³	1	1	yes	characteristic
439	#103×C₆₁	C₂³	1	1	yes	characteristic
440	#103×C₆₁	C₂³	1	1	yes	characteristic
441	#103×C₆₁	C₂³	1	1	yes	characteristic
442	#103×C₆₁	C₂³	1	1	yes	characteristic
443	#103×C₆₁	C₂³	1	1	yes	characteristic
444	#103×C₆₁	C₂³	1	1	yes	characteristic
445	#103×C₆₁	C₂³	1	1	yes	characteristic
446	#103×C₆₁	C₂³	1	1	yes	characteristic
447	#103×C₆₁	C₂³	1	1	yes	characteristic
448	#103×C₆₁	C₂³	1	1	yes	characteristic
449	#103×C₆₁	C₂³	1	1	yes	characteristic
450	#102×C₆₁	C₂³	1	1	yes	characteristic
451	#102×C₆₁	C₂³	1	1	yes	characteristic
452	#102×C₆₁	C₂³	1	1	yes	characteristic
453	#102×C₆₁	C₂³	1	1	yes	characteristic
454	#102×C₆₁	C₂³	1	1	yes	characteristic
455	#102×C₆₁	C₂³	1	1	yes	characteristic
456	#102×C₆₁	C₂³	1	1	yes	characteristic
457	#102×C₆₁	C₂³	1	1	yes	characteristic
458	#102×C₆₁	C₂³	1	1	yes	characteristic
459	#102×C₆₁	C₂³	1	1	yes	characteristic
460	#102×C₆₁	C₂³	1	1	yes	characteristic
461	#102×C₆₁	C₂³	1	1	yes	characteristic
462	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
474	#97×C₆₁	C₂³	1	1	yes	characteristic
475	#97×C₆₁	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
478	C₂⁴×C₆₁	—	2	1	no	—
479	C₂⁴×C₆₁	C₂×D₄	1	1	yes	characteristic
480	#41×C₆₁	—	4	1	no	—
481	#41×C₆₁	—	4	1	no	—
482	#41×C₆₁	—	4	1	no	—
483	#41×C₆₁	—	4	1	no	—
484	#41×C₆₁	—	4	1	no	—
485	#41×C₆₁	—	4	1	no	—
486	C₂×Q₈×C₆₁	—	2	1	no	—
487	C₂×Q₈×C₆₁	—	2	1	no	—
488	C₂×Q₈×C₆₁	—	2	1	no	—
489	C₂×Q₈×C₆₁	—	2	1	no	—
490	C₂×Q₈×C₆₁	—	2	1	no	—
491	C₂×Q₈×C₆₁	—	2	1	no	—
492	C₂×Q₈×C₆₁	—	4	1	no	—
493	C₂×Q₈×C₆₁	—	4	1	no	—
494	C₂×Q₈×C₆₁	—	4	1	no	—
495	C₂×Q₈×C₆₁	—	4	1	no	—
496	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
497	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₆₁	—	2	1	no	—
502	C₂×D₄×C₆₁	—	2	1	no	—
503	C₂×D₄×C₆₁	—	2	1	no	—
504	C₂×D₄×C₆₁	—	2	1	no	—
505	C₂×D₄×C₆₁	—	2	1	no	—
506	C₂×D₄×C₆₁	—	2	1	no	—
507	C₂×D₄×C₆₁	—	2	1	no	—
508	C₂×D₄×C₆₁	—	2	1	no	—
509	C₂×D₄×C₆₁	—	2	1	no	—
510	C₂×D₄×C₆₁	—	4	1	no	—
511	C₂×D₄×C₆₁	—	4	1	no	—
512	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₆₁	—	2	1	no	—
522	C₂²×C₄×C₆₁	—	2	1	no	—
523	C₂²×C₄×C₆₁	—	2	1	no	—
524	C₂²×C₄×C₆₁	—	2	1	no	—
525	C₂²×C₄×C₆₁	—	2	1	no	—
526	C₂²×C₄×C₆₁	—	2	1	no	—
527	C₂²×C₄×C₆₁	—	2	1	no	—
528	C₂²×C₄×C₆₁	—	2	1	no	—
529	C₂²×C₄×C₆₁	—	2	1	no	—
530	C₂²×C₄×C₆₁	—	2	1	no	—
531	C₂²×C₄×C₆₁	—	2	1	no	—
532	C₂²×C₄×C₆₁	—	4	1	no	—
533	C₂²×C₄×C₆₁	—	4	1	no	—
534	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
535	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
542	Q₁₆×C₆₁	—	4	1	no	—
543	Q₁₆×C₆₁	—	4	1	no	—
544	Q₁₆×C₆₁	—	4	1	no	—
545	Q₁₆×C₆₁	—	4	1	no	—
546	SD₁₆×C₆₁	—	4	1	no	—
547	SD₁₆×C₆₁	—	4	1	no	—
548	SD₁₆×C₆₁	—	4	1	no	—
549	SD₁₆×C₆₁	—	4	1	no	—
550	M₁₆×C₆₁	—	4	1	no	—
551	M₁₆×C₆₁	—	4	1	no	—
552	M₁₆×C₆₁	—	4	1	no	—
553	M₁₆×C₆₁	—	4	1	no	—
554	C₂×C₈×C₆₁	—	4	1	no	—
555	C₂×C₈×C₆₁	—	4	1	no	—
556	C₂×C₈×C₆₁	—	4	1	no	—
557	C₂×C₈×C₆₁	—	4	1	no	—
558	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
566	C₄⋊C₄×C₆₁	—	2	1	no	—
567	C₄⋊C₄×C₆₁	—	2	1	no	—
568	C₄⋊C₄×C₆₁	—	2	1	no	—
569	C₄⋊C₄×C₆₁	—	2	1	no	—
570	C₄⋊C₄×C₆₁	—	2	1	no	—
571	C₄⋊C₄×C₆₁	—	2	1	no	—
572	C₄⋊C₄×C₆₁	—	2	1	no	—
573	C₄⋊C₄×C₆₁	—	2	1	no	—
574	C₄⋊C₄×C₆₁	—	2	1	no	—
575	C₄⋊C₄×C₆₁	—	2	1	no	—
576	C₄⋊C₄×C₆₁	—	2	1	no	—
577	C₄⋊C₄×C₆₁	—	2	1	no	—
578	C₄⋊C₄×C₆₁	—	2	1	no	—
579	C₄⋊C₄×C₆₁	—	2	1	no	—
580	C₄⋊C₄×C₆₁	—	2	1	no	—
581	C₄⋊C₄×C₆₁	—	2	1	no	—
582	C₄⋊C₄×C₆₁	—	2	1	no	—
583	C₄⋊C₄×C₆₁	—	2	1	no	—
584	C₄⋊C₄×C₆₁	—	2	1	no	—
585	C₄⋊C₄×C₆₁	—	2	1	no	—
586	C₄⋊C₄×C₆₁	—	2	1	no	—
587	C₄⋊C₄×C₆₁	—	2	1	no	—
588	C₄⋊C₄×C₆₁	—	2	1	no	—
589	C₄⋊C₄×C₆₁	—	2	1	no	—
590	C₄⋊C₄×C₆₁	—	2	1	no	—
591	C₄⋊C₄×C₆₁	—	2	1	no	—
592	C₄⋊C₄×C₆₁	—	2	1	no	—
593	C₄⋊C₄×C₆₁	—	2	1	no	—
594	C₄⋊C₄×C₆₁	—	2	1	no	—
595	C₄⋊C₄×C₆₁	—	2	1	no	—
596	C₄⋊C₄×C₆₁	—	2	1	no	—
597	C₄⋊C₄×C₆₁	—	2	1	no	—
598	C₄⋊C₄×C₆₁	—	2	1	no	—
599	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
615	C₂²⋊C₄×C₆₁	—	2	1	no	—
616	C₂²⋊C₄×C₆₁	—	2	1	no	—
617	C₂²⋊C₄×C₆₁	—	2	1	no	—
618	C₂²⋊C₄×C₆₁	—	2	1	no	—
619	C₂²⋊C₄×C₆₁	—	2	1	no	—
620	C₂²⋊C₄×C₆₁	—	2	1	no	—
621	C₂²⋊C₄×C₆₁	—	2	1	no	—
622	C₂²⋊C₄×C₆₁	—	2	1	no	—
623	C₂²⋊C₄×C₆₁	—	2	1	no	—
624	C₂²⋊C₄×C₆₁	—	2	1	no	—
625	C₂²⋊C₄×C₆₁	—	2	1	no	—
626	C₂²⋊C₄×C₆₁	—	2	1	no	—
627	C₂²⋊C₄×C₆₁	—	2	1	no	—
628	C₂²⋊C₄×C₆₁	—	2	1	no	—
629	C₂²⋊C₄×C₆₁	—	2	1	no	—
630	C₂²⋊C₄×C₆₁	—	2	1	no	—
631	C₂²⋊C₄×C₆₁	—	2	1	no	—
632	C₂²⋊C₄×C₆₁	—	2	1	no	—
633	C₂²⋊C₄×C₆₁	—	2	1	no	—
634	C₂²⋊C₄×C₆₁	—	2	1	no	—
635	C₂²⋊C₄×C₆₁	—	2	1	no	—
636	C₂²⋊C₄×C₆₁	—	2	1	no	—
637	C₂²⋊C₄×C₆₁	—	2	1	no	—
638	C₂²⋊C₄×C₆₁	—	2	1	no	—
639	C₂²⋊C₄×C₆₁	—	2	1	no	—
640	C₂²⋊C₄×C₆₁	—	2	1	no	—
641	C₂²⋊C₄×C₆₁	—	2	1	no	—
642	C₂²⋊C₄×C₆₁	—	2	1	no	—
643	C₂²⋊C₄×C₆₁	—	2	1	no	—
644	C₂²⋊C₄×C₆₁	—	2	1	no	—
645	C₂²⋊C₄×C₆₁	—	2	1	no	—
646	C₂²⋊C₄×C₆₁	—	2	1	no	—
647	C₂²⋊C₄×C₆₁	—	2	1	no	—
648	C₂²⋊C₄×C₆₁	—	2	1	no	—
649	C₂²⋊C₄×C₆₁	—	2	1	no	—
650	C₂²⋊C₄×C₆₁	—	2	1	no	—
651	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
661	C₄²×C₆₁	—	2	1	no	—
662	C₄²×C₆₁	—	2	1	no	—
663	C₄²×C₆₁	—	2	1	no	—
664	C₄²×C₆₁	—	2	1	no	—
665	C₄²×C₆₁	—	2	1	no	—
666	C₄²×C₆₁	—	2	1	no	—
667	C₄²×C₆₁	—	2	1	no	—
668	C₄²×C₆₁	—	2	1	no	—
669	C₄²×C₆₁	—	2	1	no	—
670	C₄²×C₆₁	—	2	1	no	—
671	C₄²×C₆₁	—	2	1	no	—
672	C₄²×C₆₁	—	2	1	no	—
673	C₄²×C₆₁	—	2	1	no	—
674	C₄²×C₆₁	—	2	1	no	—
675	C₄²×C₆₁	—	2	1	no	—
676	C₄²×C₆₁	—	2	1	no	—
677	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
678	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
679	C₂³×C₆₁	—	2	1	no	—
680	C₂³×C₆₁	—	2	1	no	—
681	C₂³×C₆₁	—	4	1	no	—
682	C₂³×C₆₁	—	4	1	no	—
683	C₂³×C₆₁	—	4	1	no	—
684	C₂³×C₆₁	—	8	1	no	—
685	C₂³×C₆₁	—	8	1	no	—
686	C₂³×C₆₁	—	8	1	no	—
687	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
688	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
689	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
690	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
691	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
692	Q₈×C₆₁	—	2	1	no	—
693	Q₈×C₆₁	—	2	1	no	—
694	Q₈×C₆₁	—	2	1	no	—
695	Q₈×C₆₁	—	2	1	no	—
696	Q₈×C₆₁	—	2	1	no	—
697	Q₈×C₆₁	—	2	1	no	—
698	Q₈×C₆₁	—	2	1	no	—
699	Q₈×C₆₁	—	2	1	no	—
700	Q₈×C₆₁	—	4	1	no	—
701	Q₈×C₆₁	—	4	2	no	—
702	Q₈×C₆₁	—	8	1	no	—
703	Q₈×C₆₁	—	8	1	no	—
704	Q₈×C₆₁	—	8	1	no	—
705	Q₈×C₆₁	—	8	1	no	—
706	Q₈×C₆₁	—	8	1	no	—
707	D₄×C₆₁	—	2	1	no	—
708	D₄×C₆₁	—	2	1	no	—
709	D₄×C₆₁	—	2	1	no	—
710	D₄×C₆₁	—	2	1	no	—
711	D₄×C₆₁	—	4	1	no	—
712	D₄×C₆₁	—	4	1	no	—
713	D₄×C₆₁	—	4	1	no	—
714	D₄×C₆₁	—	4	1	no	—
715	D₄×C₆₁	—	4	1	no	—
716	D₄×C₆₁	—	4	1	no	—
717	D₄×C₆₁	—	4	1	no	—
718	D₄×C₆₁	—	8	1	no	—
719	D₄×C₆₁	—	8	1	no	—
720	D₄×C₆₁	—	8	1	no	—
721	D₄×C₆₁	—	8	1	no	—
722	D₄×C₆₁	—	8	1	no	—
723	D₄×C₆₁	—	8	1	no	—
724	D₄×C₆₁	—	8	1	no	—
725	D₄×C₆₁	—	8	1	no	—
726	D₄×C₆₁	—	8	1	no	—
727	C₂×C₄×C₆₁	—	2	1	no	—
728	C₂×C₄×C₆₁	—	2	1	no	—
729	C₂×C₄×C₆₁	—	2	1	no	—
730	C₂×C₄×C₆₁	—	2	1	no	—
731	C₂×C₄×C₆₁	—	2	1	no	—
732	C₂×C₄×C₆₁	—	2	1	no	—
733	C₂×C₄×C₆₁	—	2	1	no	—
734	C₂×C₄×C₆₁	—	2	1	no	—
735	C₂×C₄×C₆₁	—	2	1	no	—
736	C₂×C₄×C₆₁	—	2	1	no	—
737	C₂×C₄×C₆₁	—	2	1	no	—
738	C₂×C₄×C₆₁	—	2	1	no	—
739	C₂×C₄×C₆₁	—	2	1	no	—
740	C₂×C₄×C₆₁	—	2	1	no	—
741	C₂×C₄×C₆₁	—	2	1	no	—
742	C₂×C₄×C₆₁	—	2	1	no	—
743	C₂×C₄×C₆₁	—	2	1	no	—
744	C₂×C₄×C₆₁	—	2	1	no	—
745	C₂×C₄×C₆₁	—	2	1	no	—
746	C₂×C₄×C₆₁	—	2	1	no	—
747	C₂×C₄×C₆₁	—	2	1	no	—
748	C₂×C₄×C₆₁	—	2	1	no	—
749	C₂×C₄×C₆₁	—	2	1	no	—
750	C₂×C₄×C₆₁	—	2	1	no	—
751	C₂×C₄×C₆₁	—	4	1	no	—
752	C₂×C₄×C₆₁	—	4	1	no	—
753	C₂×C₄×C₆₁	—	4	1	no	—
754	C₂×C₄×C₆₁	—	4	2	no	—
755	C₂×C₄×C₆₁	—	4	2	no	—
756	C₂×C₄×C₆₁	—	8	1	no	—
757	C₂×C₄×C₆₁	—	8	1	no	—
758	C₂×C₄×C₆₁	—	8	1	no	—
759	C₂×C₄×C₆₁	—	8	1	no	—
760	C₂×C₄×C₆₁	—	8	1	no	—
761	C₂×C₄×C₆₁	—	8	1	no	—
762	C₂×C₄×C₆₁	—	8	1	no	—
763	C₂×C₄×C₆₁	—	8	1	no	—
764	C₂×C₄×C₆₁	—	8	1	no	—
765	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
775	C₈×C₆₁	—	2	1	no	—
776	C₈×C₆₁	—	2	1	no	—
777	C₈×C₆₁	—	2	1	no	—
778	C₈×C₆₁	—	2	1	no	—
779	C₈×C₆₁	—	2	1	no	—
780	C₈×C₆₁	—	2	1	no	—
781	C₈×C₆₁	—	2	1	no	—
782	C₈×C₆₁	—	2	1	no	—
783	#61760	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
784	C₂²×C₆₁	—	2	1	no	—
785	C₂²×C₆₁	—	2	1	no	—
786	C₂²×C₆₁	—	2	1	no	—
787	C₂²×C₆₁	—	2	1	no	—
788	C₂²×C₆₁	—	2	1	no	—
789	C₂²×C₆₁	—	2	1	no	—
790	C₂²×C₆₁	—	2	1	no	—
791	C₂²×C₆₁	—	2	1	no	—
792	C₂²×C₆₁	—	2	1	no	—
793	C₂²×C₆₁	—	2	1	no	—
794	C₂²×C₆₁	—	2	1	no	—
795	C₂²×C₆₁	—	2	1	no	—
796	C₂²×C₆₁	—	2	1	no	—
797	C₂²×C₆₁	—	2	1	no	—
798	C₂²×C₆₁	—	2	1	no	—
799	C₂²×C₆₁	—	4	1	no	—
800	C₂²×C₆₁	—	4	1	no	—
801	C₂²×C₆₁	—	4	1	no	—
802	C₂²×C₆₁	—	4	1	no	—
803	C₂²×C₆₁	—	4	1	no	—
804	C₂²×C₆₁	—	4	1	no	—
805	C₂²×C₆₁	—	8	2	no	—
806	C₂²×C₆₁	—	16	2	no	—
807	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
808	C₄×C₆₁	—	2	1	no	—
809	C₄×C₆₁	—	2	1	no	—
810	C₄×C₆₁	—	2	1	no	—
811	C₄×C₆₁	—	2	1	no	—
812	C₄×C₆₁	—	2	1	no	—
813	C₄×C₆₁	—	2	1	no	—
814	C₄×C₆₁	—	2	1	no	—
815	C₄×C₆₁	—	2	1	no	—
816	C₄×C₆₁	—	2	1	no	—
817	C₄×C₆₁	—	4	1	no	—
818	C₄×C₆₁	—	4	1	no	—
819	C₄×C₆₁	—	4	1	no	—
820	C₄×C₆₁	—	4	1	no	—
821	C₄×C₆₁	—	4	1	no	—
822	C₄×C₆₁	—	4	1	no	—
823	C₄×C₆₁	—	4	1	no	—
824	C₄×C₆₁	—	4	1	no	—
825	C₄×C₆₁	—	4	1	no	—
826	C₄×C₆₁	—	4	1	no	—
827	C₄×C₆₁	—	4	1	no	—
828	C₄×C₆₁	—	4	1	no	—
829	C₄×C₆₁	—	4	1	no	—
830	C₄×C₆₁	—	4	1	no	—
831	C₄×C₆₁	#585	1	1	yes	characteristic
832	C₄×C₆₁	#585	1	1	yes	characteristic
833	#3540	C₂×C₆₁	1	1	yes	characteristic
834	#3495	C₂×C₆₁	1	1	yes	characteristic, complemented
835	#3357	C₂×C₆₁	1	1	yes	characteristic, complemented
836	#3356	C₂×C₆₁	1	1	yes	characteristic, complemented
837	#3349	C₂×C₆₁	1	1	yes	characteristic, complemented
838	#3349	C₂×C₆₁	1	1	yes	characteristic, complemented
839	#3348	C₂×C₆₁	1	1	yes	characteristic, complemented
840	#3348	C₂×C₆₁	1	1	yes	characteristic, complemented
841	#3342	C₂×C₆₁	1	1	yes	characteristic, complemented
842	#3340	C₂×C₆₁	1	1	yes	characteristic, complemented
843	#3327	C₂×C₆₁	1	1	yes	characteristic, complemented
844	#3323	C₂×C₆₁	1	1	yes	characteristic, complemented
845	#3316	C₂×C₆₁	1	1	yes	characteristic, complemented
846	#3314	C₂×C₆₁	1	1	yes	characteristic, complemented
847	#3313	C₂×C₆₁	1	1	yes	characteristic, complemented
848	#3311	C₂×C₆₁	1	1	yes	characteristic, complemented
849	#3300	C₂×C₆₁	1	1	yes	characteristic, complemented
850	#3296	C₂×C₆₁	1	1	yes	characteristic, complemented
851	#3244	C₂×C₆₁	1	1	yes	characteristic, complemented
852	#3243	C₂×C₆₁	1	1	yes	characteristic, complemented
853	#3202	C₂×C₆₁	1	1	yes	characteristic, complemented
854	#3200	C₂×C₆₁	1	1	yes	characteristic, complemented
855	#3196	C₂×C₆₁	1	1	yes	characteristic, complemented
856	#3190	C₂×C₆₁	1	1	yes	characteristic, complemented
857	#3121	C₂×C₆₁	1	1	yes	characteristic, complemented
858	#3121	C₂×C₆₁	1	1	yes	characteristic, complemented
859	#3097	C₂×C₆₁	1	1	yes	characteristic, complemented
860	#3096	C₂×C₆₁	1	1	yes	characteristic, complemented
861	#3093	C₂×C₆₁	1	1	yes	characteristic, complemented
862	#3091	C₂×C₆₁	1	1	yes	characteristic, complemented
863	#2976	C₂×C₆₁	1	1	yes	characteristic, complemented
864	C₂×C₆₁	—	4	1	no	—
865	C₂×C₆₁	—	4	1	no	—
866	C₂×C₆₁	—	4	1	no	—
867	C₂×C₆₁	—	4	1	no	—
868	C₂×C₆₁	—	4	1	no	—
869	C₂×C₆₁	—	8	1	no	—
870	C₂×C₆₁	—	8	1	no	—
871	C₂×C₆₁	#3485	1	1	yes	characteristic
872	C₂×C₆₁	#3584	1	1	yes	characteristic
873	C₂×C₆₁	#3586	1	1	yes	characteristic
874	H(3,𝔽₄)	—	2	1	no	—
875	#560	—	2	1	no	—
876	#559	—	2	1	no	—
877	#556	C₂²×C₆₁	1	1	yes	characteristic
878	#556	C₂²×C₆₁	1	1	yes	characteristic
879	#556	C₂²×C₆₁	1	1	yes	characteristic
880	#556	C₂²×C₆₁	1	1	yes	characteristic, complemented
881	#555	C₂²×C₆₁	1	1	yes	characteristic
882	#555	C₂²×C₆₁	1	1	yes	characteristic
883	#554	C₂²×C₆₁	1	1	yes	characteristic
884	#554	C₂²×C₆₁	1	1	yes	characteristic, complemented
885	#552	—	2	1	no	—
886	#552	—	2	1	no	—
887	#552	C₂²×C₆₁	1	1	yes	characteristic
888	#552	C₂²×C₆₁	1	1	yes	characteristic
889	#552	C₂²×C₆₁	1	1	yes	characteristic, complemented
890	#552	C₂²×C₆₁	1	1	yes	characteristic, complemented
891	#551	—	2	1	no	—
892	#551	—	2	1	no	—
893	#551	—	2	1	no	—
894	#548	C₂²×C₆₁	1	1	yes	characteristic
895	#548	C₂²×C₆₁	1	1	yes	characteristic
896	#546	C₂²×C₆₁	1	1	yes	characteristic
897	#546	C₂²×C₆₁	1	1	yes	characteristic
898	#544	C₂²×C₆₁	1	1	yes	characteristic, complemented
899	#542	—	2	1	no	—
900	#542	—	2	1	no	—
901	#542	—	2	1	no	—
902	#542	C₂²×C₆₁	1	1	yes	characteristic
903	#542	C₂²×C₆₁	1	1	yes	characteristic
904	#541	—	2	1	no	—
905	#538	—	2	1	no	—
906	#538	—	2	1	no	—
907	#536	C₂²×C₆₁	1	1	yes	characteristic
908	#536	C₂²×C₆₁	1	1	yes	characteristic
909	#535	C₂²×C₆₁	1	1	yes	characteristic
910	#533	—	2	1	no	—
911	#529	—	2	1	no	—
912	#525	C₂²×C₆₁	1	1	yes	characteristic
913	#525	C₂²×C₆₁	1	1	yes	characteristic
914	#525	C₂²×C₆₁	1	1	yes	characteristic
915	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
916	#520	C₂²×C₆₁	1	1	yes	characteristic
917	#519	C₂²×C₆₁	1	1	yes	characteristic, complemented
918	C₂×#117	C₂²×C₆₁	1	1	yes	characteristic, complemented
919	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
920	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
921	#500	C₂²×C₆₁	1	1	yes	characteristic, complemented
922	#498	C₂²×C₆₁	1	1	yes	characteristic, complemented
923	#489	C₂²×C₆₁	1	1	yes	characteristic, complemented
924	#489	C₂²×C₆₁	1	1	yes	characteristic, complemented
925	#488	C₂²×C₆₁	1	1	yes	characteristic, complemented
926	#488	C₂²×C₆₁	1	1	yes	characteristic, complemented
927	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
928	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
929	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
930	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
931	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
932	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
933	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
934	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
935	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
936	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
937	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
938	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
939	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
940	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
941	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
942	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
943	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
944	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
945	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
946	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
947	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
948	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
949	#482	C₂²×C₆₁	1	1	yes	characteristic
950	#482	C₂²×C₆₁	1	1	yes	characteristic
951	#482	C₂²×C₆₁	1	1	yes	characteristic
952	#482	C₂²×C₆₁	1	1	yes	characteristic
953	#482	C₂²×C₆₁	1	1	yes	characteristic
954	#482	C₂²×C₆₁	1	1	yes	characteristic
955	#482	C₂²×C₆₁	1	1	yes	characteristic, complemented
956	#482	C₂²×C₆₁	1	1	yes	characteristic, complemented
957	#481	C₂²×C₆₁	1	1	yes	characteristic
958	#481	C₂²×C₆₁	1	1	yes	characteristic
959	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
960	#480	C₂²×C₆₁	1	1	yes	characteristic
961	#480	C₂²×C₆₁	1	1	yes	characteristic
962	#480	C₂²×C₆₁	1	1	yes	characteristic, complemented
963	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
964	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
965	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
966	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
967	#477	C₂²×C₆₁	1	1	yes	characteristic, complemented
968	#477	C₂²×C₆₁	1	1	yes	characteristic, complemented
969	#477	C₂²×C₆₁	1	1	yes	characteristic, complemented
970	#476	C₂²×C₆₁	1	1	yes	characteristic, complemented
971	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
972	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
973	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
974	#474	C₂²×C₆₁	1	1	yes	characteristic, complemented
975	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
976	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
977	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
978	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
979	#468	C₂²×C₆₁	1	1	yes	characteristic
980	#468	C₂²×C₆₁	1	1	yes	characteristic
981	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
982	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
983	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
984	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
985	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
986	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
987	#465	C₂²×C₆₁	1	1	yes	characteristic
988	#465	C₂²×C₆₁	1	1	yes	characteristic
989	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
990	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
991	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
992	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
993	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
994	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
995	#452	C₂²×C₆₁	1	1	yes	characteristic
996	#452	C₂²×C₆₁	1	1	yes	characteristic
997	#452	C₂²×C₆₁	1	1	yes	characteristic
998	#452	C₂²×C₆₁	1	1	yes	characteristic
999	#451	C₂²×C₆₁	1	1	yes	characteristic, complemented
1000	#451	C₂²×C₆₁	1	1	yes	characteristic, complemented
1001	#451	C₂²×C₆₁	1	1	yes	characteristic, complemented
1002	#451	C₂²×C₆₁	1	1	yes	characteristic, complemented
1003	#450	C₂²×C₆₁	1	1	yes	characteristic, complemented
1004	#450	C₂²×C₆₁	1	1	yes	characteristic, complemented
1005	#448	C₂²×C₆₁	1	1	yes	characteristic
1006	#448	C₂²×C₆₁	1	1	yes	characteristic
1007	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
1008	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
1009	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1010	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1011	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1012	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1013	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1014	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1015	#436	C₂²×C₆₁	1	1	yes	characteristic
1016	#436	C₂²×C₆₁	1	1	yes	characteristic, complemented
1017	#435	C₂²×C₆₁	1	1	yes	characteristic
1018	#435	C₂²×C₆₁	1	1	yes	characteristic
1019	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1020	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1021	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1022	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
1023	#433	C₂²×C₆₁	1	1	yes	characteristic, complemented
1024	#433	C₂²×C₆₁	1	1	yes	characteristic, complemented
1025	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1026	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1027	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1028	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1029	#427	C₂²×C₆₁	1	1	yes	characteristic, complemented
1030	#427	C₂²×C₆₁	1	1	yes	characteristic, complemented
1031	#427	C₂²×C₆₁	1	1	yes	characteristic, complemented
1032	#427	C₂²×C₆₁	1	1	yes	characteristic, complemented
1033	#419	C₂²×C₆₁	1	1	yes	characteristic, complemented
1034	#418	C₂²×C₆₁	1	1	yes	characteristic, complemented
1035	#417	C₂²×C₆₁	1	1	yes	characteristic
1036	#417	C₂²×C₆₁	1	1	yes	characteristic
1037	#416	C₂²×C₆₁	1	1	yes	characteristic
1038	#416	C₂²×C₆₁	1	1	yes	characteristic
1039	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic, complemented
1040	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic, complemented
1041	#408	C₂²×C₆₁	1	1	yes	characteristic
1042	#408	C₂²×C₆₁	1	1	yes	characteristic
1043	#407	C₂²×C₆₁	1	1	yes	characteristic, complemented
1044	C₂×C₂²⋊C₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1045	C₆₁	#61760	1	1	yes	characteristic, direct product factor, Sylow
1046	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1047	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1048	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1049	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1050	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1051	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1052	C₂³×C₄	C₂³×C₆₁	1	1	yes	characteristic
1053	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1054	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1055	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1056	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1061	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1062	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1063	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1065	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1066	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1067	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1068	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1069	C₄⋊Q₈	—	2	1	no	—
1070	C₄⋊Q₈	—	2	1	no	—
1071	C₄⋊Q₈	—	2	1	no	—
1072	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1073	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1074	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1076	#127	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	C₂³×C₆₁	1	1	yes	characteristic
1099	#125	C₂³×C₆₁	1	1	yes	characteristic
1100	#124	—	2	1	no	—
1101	#124	—	2	1	no	—
1102	#124	—	2	1	no	—
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	C₂³×C₆₁	1	1	yes	characteristic
1116	#124	C₂³×C₆₁	1	1	yes	characteristic
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	D₄×C₆₁	1	1	yes	characteristic
1132	#123	D₄×C₆₁	1	1	yes	characteristic
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1146	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1154	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	D₄×C₆₁	1	1	yes	characteristic
1168	#121	D₄×C₆₁	1	1	yes	characteristic
1169	#121	C₂³×C₆₁	1	1	yes	characteristic
1170	#121	C₂³×C₆₁	1	1	yes	characteristic
1171	#121	C₂³×C₆₁	1	1	yes	characteristic
1172	#121	C₂³×C₆₁	1	1	yes	characteristic
1173	#121	C₂³×C₆₁	1	1	yes	characteristic
1174	#121	C₂³×C₆₁	1	1	yes	characteristic
1175	#120	—	2	1	no	—
1176	#120	—	2	1	no	—
1177	#120	—	2	1	no	—
1178	#120	—	2	1	no	—
1179	#120	—	2	1	no	—
1180	#120	—	2	1	no	—
1181	#120	D₄×C₆₁	1	1	yes	characteristic
1182	#120	D₄×C₆₁	1	1	yes	characteristic
1183	C₄×Q₈	—	2	1	no	—
1184	C₄×Q₈	—	2	1	no	—
1185	C₄×Q₈	—	2	1	no	—
1186	C₄×Q₈	—	2	1	no	—
1187	C₄×Q₈	—	2	1	no	—
1188	C₄×Q₈	—	2	1	no	—
1189	C₄×Q₈	—	2	1	no	—
1190	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1192	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1194	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1195	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1212	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	C₂³×C₆₁	1	1	yes	characteristic
1224	#117	C₂³×C₆₁	1	1	yes	characteristic
1225	#117	C₂³×C₆₁	1	1	yes	characteristic
1226	#117	C₂³×C₆₁	1	1	yes	characteristic
1227	#117	C₂³×C₆₁	1	1	yes	characteristic
1228	#117	C₂³×C₆₁	1	1	yes	characteristic
1229	#117	C₂³×C₆₁	1	1	yes	characteristic
1230	#117	C₂³×C₆₁	1	1	yes	characteristic
1231	#117	C₂³×C₆₁	1	1	yes	characteristic
1232	#117	C₂³×C₆₁	1	1	yes	characteristic
1233	#117	C₂³×C₆₁	1	1	yes	characteristic
1234	C₂×C₄⋊C₄	—	2	1	no	—
1235	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1236	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1237	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1238	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1239	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1240	C₂×C₂²⋊C₄	—	2	1	no	—
1241	C₂×C₂²⋊C₄	—	2	1	no	—
1242	C₂×C₂²⋊C₄	—	2	1	no	—
1243	C₂×C₂²⋊C₄	—	2	1	no	—
1244	C₂×C₄²	—	2	1	no	—
1245	#107	C₂³×C₆₁	1	1	yes	characteristic
1246	#107	C₂³×C₆₁	1	1	yes	characteristic
1247	#107	C₂³×C₆₁	1	1	yes	characteristic
1248	#107	C₂³×C₆₁	1	1	yes	characteristic
1249	#107	C₂³×C₆₁	1	1	yes	characteristic
1250	#107	C₂³×C₆₁	1	1	yes	characteristic
1251	#107	C₂³×C₆₁	1	1	yes	characteristic
1252	#107	C₂³×C₆₁	1	1	yes	characteristic
1253	#107	C₂³×C₆₁	1	1	yes	characteristic
1254	#107	C₂³×C₆₁	1	1	yes	characteristic
1255	#107	C₂³×C₆₁	1	1	yes	characteristic
1256	#107	C₂³×C₆₁	1	1	yes	characteristic
1257	#106	C₂³×C₆₁	1	1	yes	characteristic
1258	#106	C₂³×C₆₁	1	1	yes	characteristic
1259	#106	C₂³×C₆₁	1	1	yes	characteristic
1260	#106	C₂³×C₆₁	1	1	yes	characteristic
1261	#106	C₂³×C₆₁	1	1	yes	characteristic
1262	#106	C₂³×C₆₁	1	1	yes	characteristic
1263	#106	C₂³×C₆₁	1	1	yes	characteristic
1264	#106	C₂³×C₆₁	1	1	yes	characteristic
1265	#106	C₂³×C₆₁	1	1	yes	characteristic
1266	#106	C₂³×C₆₁	1	1	yes	characteristic
1267	#106	C₂³×C₆₁	1	1	yes	characteristic
1268	#106	C₂³×C₆₁	1	1	yes	characteristic
1269	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1273	#103	C₂³×C₆₁	1	1	yes	characteristic
1274	#103	C₂³×C₆₁	1	1	yes	characteristic
1275	#103	C₂³×C₆₁	1	1	yes	characteristic
1276	#103	C₂³×C₆₁	1	1	yes	characteristic
1277	#103	C₂³×C₆₁	1	1	yes	characteristic
1278	#103	C₂³×C₆₁	1	1	yes	characteristic
1279	#103	C₂³×C₆₁	1	1	yes	characteristic
1280	#103	C₂³×C₆₁	1	1	yes	characteristic
1281	#103	C₂³×C₆₁	1	1	yes	characteristic
1282	#103	C₂³×C₆₁	1	1	yes	characteristic
1283	#103	C₂³×C₆₁	1	1	yes	characteristic
1284	#103	C₂³×C₆₁	1	1	yes	characteristic
1285	#103	C₂³×C₆₁	1	1	yes	characteristic
1286	#103	C₂³×C₆₁	1	1	yes	characteristic
1287	#103	C₂³×C₆₁	1	1	yes	characteristic
1288	#103	C₂³×C₆₁	1	1	yes	characteristic
1289	#103	C₂³×C₆₁	1	1	yes	characteristic
1290	#103	C₂³×C₆₁	1	1	yes	characteristic
1291	#103	C₂³×C₆₁	1	1	yes	characteristic
1292	#103	C₂³×C₆₁	1	1	yes	characteristic
1293	#102	C₂³×C₆₁	1	1	yes	characteristic
1294	#102	C₂³×C₆₁	1	1	yes	characteristic
1295	#102	C₂³×C₆₁	1	1	yes	characteristic
1296	#102	C₂³×C₆₁	1	1	yes	characteristic
1297	#102	C₂³×C₆₁	1	1	yes	characteristic
1298	#102	C₂³×C₆₁	1	1	yes	characteristic
1299	#102	C₂³×C₆₁	1	1	yes	characteristic
1300	#102	C₂³×C₆₁	1	1	yes	characteristic
1301	#102	C₂³×C₆₁	1	1	yes	characteristic
1302	#102	C₂³×C₆₁	1	1	yes	characteristic
1303	#102	C₂³×C₆₁	1	1	yes	characteristic
1304	#102	C₂³×C₆₁	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1317	#97	C₂³×C₆₁	1	1	yes	characteristic
1318	#97	C₂³×C₆₁	1	1	yes	characteristic
1319	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1320	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1321	C₂⁴	—	2	1	no	—
1322	C₂⁴	C₂×D₄×C₆₁	1	1	yes	characteristic
1323	#41	—	4	1	no	—
1324	#41	—	4	1	no	—
1325	#41	—	4	1	no	—
1326	#41	—	4	1	no	—
1327	#41	—	4	1	no	—
1328	#41	—	4	1	no	—
1329	C₂×Q₈	—	2	1	no	—
1330	C₂×Q₈	—	2	1	no	—
1331	C₂×Q₈	—	2	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	4	1	no	—
1336	C₂×Q₈	—	4	1	no	—
1337	C₂×Q₈	—	4	1	no	—
1338	C₂×Q₈	—	4	1	no	—
1339	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1340	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1341	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1342	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1343	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	4	1	no	—
1354	C₂×D₄	—	4	1	no	—
1355	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1356	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1357	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1358	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1359	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1360	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1361	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1362	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1363	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	4	1	no	—
1376	C₂²×C₄	—	4	1	no	—
1377	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1378	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1379	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1380	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1381	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1382	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1383	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1384	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1385	Q₁₆	—	4	1	no	—
1386	Q₁₆	—	4	1	no	—
1387	Q₁₆	—	4	1	no	—
1388	Q₁₆	—	4	1	no	—
1389	SD₁₆	—	4	1	no	—
1390	SD₁₆	—	4	1	no	—
1391	SD₁₆	—	4	1	no	—
1392	SD₁₆	—	4	1	no	—
1393	M₁₆	—	4	1	no	—
1394	M₁₆	—	4	1	no	—
1395	M₁₆	—	4	1	no	—
1396	M₁₆	—	4	1	no	—
1397	C₂×C₈	—	4	1	no	—
1398	C₂×C₈	—	4	1	no	—
1399	C₂×C₈	—	4	1	no	—
1400	C₂×C₈	—	4	1	no	—
1401	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1402	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1403	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1404	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1405	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1406	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1407	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1408	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1444	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1445	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1448	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1449	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1450	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1451	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1452	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1453	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1457	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1495	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1496	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1497	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1502	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1503	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1521	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1522	C₂³	—	2	1	no	—
1523	C₂³	—	2	1	no	—
1524	C₂³	—	4	1	no	—
1525	C₂³	—	4	1	no	—
1526	C₂³	—	4	1	no	—
1527	C₂³	—	8	1	no	—
1528	C₂³	—	8	1	no	—
1529	C₂³	—	8	1	no	—
1530	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1531	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1532	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1533	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1534	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1535	Q₈	—	2	1	no	—
1536	Q₈	—	2	1	no	—
1537	Q₈	—	2	1	no	—
1538	Q₈	—	2	1	no	—
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	4	1	no	—
1544	Q₈	—	4	2	no	—
1545	Q₈	—	8	1	no	—
1546	Q₈	—	8	1	no	—
1547	Q₈	—	8	1	no	—
1548	Q₈	—	8	1	no	—
1549	Q₈	—	8	1	no	—
1550	D₄	—	2	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	2	1	no	—
1553	D₄	—	2	1	no	—
1554	D₄	—	4	1	no	—
1555	D₄	—	4	1	no	—
1556	D₄	—	4	1	no	—
1557	D₄	—	4	1	no	—
1558	D₄	—	4	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	1	no	—
1561	D₄	—	8	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	—	8	1	no	—
1564	D₄	—	8	1	no	—
1565	D₄	—	8	1	no	—
1566	D₄	—	8	1	no	—
1567	D₄	—	8	1	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	8	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	1	no	—
1597	C₂×C₄	—	4	2	no	—
1598	C₂×C₄	—	4	2	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	—	8	1	no	—
1605	C₂×C₄	—	8	1	no	—
1606	C₂×C₄	—	8	1	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1609	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1610	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1611	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1612	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1613	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1614	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1615	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1616	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1617	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1618	C₈	—	2	1	no	—
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₈	—	2	1	no	—
1623	C₈	—	2	1	no	—
1624	C₈	—	2	1	no	—
1625	C₈	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	2	1	no	—
1632	C₂²	—	2	1	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	8	2	no	—
1648	C₂²	—	16	2	no	—
1649	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	2	1	no	—
1656	C₄	—	2	1	no	—
1657	C₄	—	2	1	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	C₆₁×#585	1	1	yes	characteristic
1674	C₄	C₆₁×#585	1	1	yes	characteristic
1675	C₂	—	4	1	no	—
1676	C₂	—	4	1	no	—
1677	C₂	—	4	1	no	—
1678	C₂	—	4	1	no	—
1679	C₂	—	4	1	no	—
1680	C₂	—	8	1	no	—
1681	C₂	—	8	1	no	—
1682	C₂	C₆₁×#3485	1	1	yes	characteristic
1683	C₂	C₆₁×#3584	1	1	yes	characteristic
1684	C₂	C₆₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
prime radical	C₆₁×#3540	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ C₆₁×#525 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₆₁×#3495	C₂	semidirect
3. C₆₁×#3357	C₂	semidirect
4. C₆₁×#3356	C₂	semidirect
5. C₆₁×#3349	C₂	semidirect
6. C₆₁×#3349	C₂	semidirect
7. C₆₁×#3348	C₂	semidirect
8. C₆₁×#3348	C₂	semidirect
9. C₆₁×#3342	C₂	semidirect
10. C₆₁×#3340	C₂	semidirect
11. C₆₁×#3327	C₂	semidirect
12. C₆₁×#3323	C₂	semidirect
13. C₆₁×#3316	C₂	semidirect
14. C₆₁×#3314	C₂	semidirect
15. C₆₁×#3313	C₂	semidirect
16. C₆₁×#3311	C₂	semidirect
17. C₆₁×#3300	C₂	semidirect
18. C₆₁×#3296	C₂	semidirect
19. C₆₁×#3244	C₂	semidirect
20. C₆₁×#3243	C₂	semidirect
21. C₆₁×#3202	C₂	semidirect
22. C₆₁×#3200	C₂	semidirect
23. C₆₁×#3196	C₂	semidirect
24. C₆₁×#3190	C₂	semidirect
25. C₆₁×#3121	C₂	semidirect
26. C₆₁×#3121	C₂	semidirect
27. C₆₁×#3097	C₂	semidirect
28. C₆₁×#3096	C₂	semidirect
29. C₆₁×#3093	C₂	semidirect
30. C₆₁×#3091	C₂	semidirect
31. C₆₁×#2976	C₂	semidirect
38. C₆₁×#556	C₂²	semidirect
42. C₆₁×#554	C₂²	semidirect
47. C₆₁×#552	C₂²	semidirect
48. C₆₁×#552	C₂²	semidirect
56. C₆₁×#544	C₂²	semidirect
73. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
75. C₆₁×#519	C₂²	semidirect
76. C₂×#117×C₆₁	C₂²	semidirect
77. C₆₁×#501	C₂²	semidirect
78. C₆₁×#501	C₂²	semidirect
79. C₆₁×#500	C₂²	semidirect
80. C₆₁×#498	C₂²	semidirect
81. C₆₁×#489	C₂²	semidirect
82. C₆₁×#489	C₂²	semidirect
83. C₆₁×#488	C₂²	semidirect
84. C₆₁×#488	C₂²	semidirect
85. C₆₁×#485	C₂²	semidirect
86. C₆₁×#485	C₂²	semidirect
87. C₆₁×#485	C₂²	semidirect
88. C₆₁×#485	C₂²	semidirect
89. C₆₁×#485	C₂²	semidirect
90. C₆₁×#485	C₂²	semidirect
91. C₆₁×#485	C₂²	semidirect
92. C₆₁×#485	C₂²	semidirect
93. C₆₁×#485	C₂²	semidirect
94. C₆₁×#485	C₂²	semidirect
95. C₆₁×#485	C₂²	semidirect
96. C₆₁×#485	C₂²	semidirect
97. C₆₁×#485	C₂²	semidirect
98. C₆₁×#485	C₂²	semidirect
99. C₆₁×#485	C₂²	semidirect
100. C₆₁×#485	C₂²	semidirect
101. C₆₁×#484	C₂²	semidirect
102. C₆₁×#484	C₂²	semidirect
103. C₆₁×#484	C₂²	semidirect
104. C₆₁×#483	C₂²	semidirect
105. C₆₁×#483	C₂²	semidirect
106. C₆₁×#483	C₂²	semidirect
113. C₆₁×#482	C₂²	semidirect
114. C₆₁×#482	C₂²	semidirect
117. C₆₁×#481	C₂²	semidirect
120. C₆₁×#480	C₂²	semidirect
121. C₆₁×#479	C₂²	semidirect
122. C₆₁×#479	C₂²	semidirect
123. C₆₁×#478	C₂²	semidirect
124. C₆₁×#478	C₂²	semidirect
125. C₆₁×#477	C₂²	semidirect
126. C₆₁×#477	C₂²	semidirect
127. C₆₁×#477	C₂²	semidirect
128. C₆₁×#476	C₂²	semidirect
129. C₆₁×#475	C₂²	semidirect
130. C₆₁×#475	C₂²	semidirect
131. C₆₁×#475	C₂²	semidirect
132. C₆₁×#474	C₂²	semidirect
133. C₆₁×#470	C₂²	semidirect
134. C₆₁×#470	C₂²	semidirect
135. C₆₁×#470	C₂²	semidirect
136. C₆₁×#470	C₂²	semidirect
139. C₆₁×#468	C₂²	semidirect
140. C₆₁×#468	C₂²	semidirect
141. C₆₁×#467	C₂²	semidirect
142. C₆₁×#467	C₂²	semidirect
143. C₆₁×#467	C₂²	semidirect
144. C₆₁×#467	C₂²	semidirect
147. C₆₁×#465	C₂²	semidirect
148. C₆₁×#465	C₂²	semidirect
149. C₆₁×#464	C₂²	semidirect
150. C₆₁×#464	C₂²	semidirect
151. C₆₁×#464	C₂²	semidirect
152. C₆₁×#464	C₂²	semidirect
157. C₆₁×#451	C₂²	semidirect
158. C₆₁×#451	C₂²	semidirect
159. C₆₁×#451	C₂²	semidirect
160. C₆₁×#451	C₂²	semidirect
161. C₆₁×#450	C₂²	semidirect
162. C₆₁×#450	C₂²	semidirect
165. C₆₁×#441	C₂²	semidirect
166. C₆₁×#441	C₂²	semidirect
167. C₆₁×#440	C₂²	semidirect
168. C₆₁×#440	C₂²	semidirect
169. C₄×Q₁₆×C₆₁	C₂²	semidirect
170. C₄×Q₁₆×C₆₁	C₂²	semidirect
171. C₄×SD₁₆×C₆₁	C₂²	semidirect
172. C₄×SD₁₆×C₆₁	C₂²	semidirect
174. C₆₁×#436	C₂²	semidirect
177. C₆₁×#435	C₂²	semidirect
178. C₆₁×#435	C₂²	semidirect
180. C₈×D₄×C₆₁	C₂²	semidirect
181. C₆₁×#433	C₂²	semidirect
182. C₆₁×#433	C₂²	semidirect
183. C₆₁×#428	C₂²	semidirect
184. C₆₁×#428	C₂²	semidirect
185. C₆₁×#428	C₂²	semidirect
186. C₆₁×#428	C₂²	semidirect
187. C₆₁×#427	C₂²	semidirect
188. C₆₁×#427	C₂²	semidirect
189. C₆₁×#427	C₂²	semidirect
190. C₆₁×#427	C₂²	semidirect
191. C₆₁×#419	C₂²	semidirect
192. C₆₁×#418	C₂²	semidirect
197. C₂×#103×C₆₁	C₂²	semidirect
198. C₂×#102×C₆₁	C₂²	semidirect
201. C₆₁×#407	C₂²	semidirect
202. C₂×C₂²⋊C₈×C₆₁	C₂²	semidirect
783. #61760	C₆₁	direct (N × H)
834. #3495	C₂×C₆₁	semidirect
835. #3357	C₂×C₆₁	semidirect
836. #3356	C₂×C₆₁	semidirect
837. #3349	C₂×C₆₁	semidirect
838. #3349	C₂×C₆₁	semidirect
839. #3348	C₂×C₆₁	semidirect
840. #3348	C₂×C₆₁	semidirect
841. #3342	C₂×C₆₁	semidirect
842. #3340	C₂×C₆₁	semidirect
843. #3327	C₂×C₆₁	semidirect
844. #3323	C₂×C₆₁	semidirect
845. #3316	C₂×C₆₁	semidirect
846. #3314	C₂×C₆₁	semidirect
847. #3313	C₂×C₆₁	semidirect
848. #3311	C₂×C₆₁	semidirect
849. #3300	C₂×C₆₁	semidirect
850. #3296	C₂×C₆₁	semidirect
851. #3244	C₂×C₆₁	semidirect
852. #3243	C₂×C₆₁	semidirect
853. #3202	C₂×C₆₁	semidirect
854. #3200	C₂×C₆₁	semidirect
855. #3196	C₂×C₆₁	semidirect
856. #3190	C₂×C₆₁	semidirect
857. #3121	C₂×C₆₁	semidirect
858. #3121	C₂×C₆₁	semidirect
859. #3097	C₂×C₆₁	semidirect
860. #3096	C₂×C₆₁	semidirect
861. #3093	C₂×C₆₁	semidirect
862. #3091	C₂×C₆₁	semidirect
863. #2976	C₂×C₆₁	semidirect
880. #556	C₂²×C₆₁	semidirect
884. #554	C₂²×C₆₁	semidirect
889. #552	C₂²×C₆₁	semidirect
890. #552	C₂²×C₆₁	semidirect
898. #544	C₂²×C₆₁	semidirect
915. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
917. #519	C₂²×C₆₁	semidirect
918. C₂×#117	C₂²×C₆₁	semidirect
919. #501	C₂²×C₆₁	semidirect
920. #501	C₂²×C₆₁	semidirect
921. #500	C₂²×C₆₁	semidirect
922. #498	C₂²×C₆₁	semidirect
923. #489	C₂²×C₆₁	semidirect
924. #489	C₂²×C₆₁	semidirect
925. #488	C₂²×C₆₁	semidirect
926. #488	C₂²×C₆₁	semidirect
927. #485	C₂²×C₆₁	semidirect
928. #485	C₂²×C₆₁	semidirect
929. #485	C₂²×C₆₁	semidirect
930. #485	C₂²×C₆₁	semidirect
931. #485	C₂²×C₆₁	semidirect
932. #485	C₂²×C₆₁	semidirect
933. #485	C₂²×C₆₁	semidirect
934. #485	C₂²×C₆₁	semidirect
935. #485	C₂²×C₆₁	semidirect
936. #485	C₂²×C₆₁	semidirect
937. #485	C₂²×C₆₁	semidirect
938. #485	C₂²×C₆₁	semidirect
939. #485	C₂²×C₆₁	semidirect
940. #485	C₂²×C₆₁	semidirect
941. #485	C₂²×C₆₁	semidirect
942. #485	C₂²×C₆₁	semidirect
943. #484	C₂²×C₆₁	semidirect
944. #484	C₂²×C₆₁	semidirect
945. #484	C₂²×C₆₁	semidirect
946. #483	C₂²×C₆₁	semidirect
947. #483	C₂²×C₆₁	semidirect
948. #483	C₂²×C₆₁	semidirect
955. #482	C₂²×C₆₁	semidirect
956. #482	C₂²×C₆₁	semidirect
959. #481	C₂²×C₆₁	semidirect
962. #480	C₂²×C₆₁	semidirect
963. #479	C₂²×C₆₁	semidirect
964. #479	C₂²×C₆₁	semidirect
965. #478	C₂²×C₆₁	semidirect
966. #478	C₂²×C₆₁	semidirect
967. #477	C₂²×C₆₁	semidirect
968. #477	C₂²×C₆₁	semidirect
969. #477	C₂²×C₆₁	semidirect
970. #476	C₂²×C₆₁	semidirect
971. #475	C₂²×C₆₁	semidirect
972. #475	C₂²×C₆₁	semidirect
973. #475	C₂²×C₆₁	semidirect
974. #474	C₂²×C₆₁	semidirect
975. #470	C₂²×C₆₁	semidirect
976. #470	C₂²×C₆₁	semidirect
977. #470	C₂²×C₆₁	semidirect
978. #470	C₂²×C₆₁	semidirect
981. #468	C₂²×C₆₁	semidirect
982. #468	C₂²×C₆₁	semidirect
983. #467	C₂²×C₆₁	semidirect
984. #467	C₂²×C₆₁	semidirect
985. #467	C₂²×C₆₁	semidirect
986. #467	C₂²×C₆₁	semidirect
989. #465	C₂²×C₆₁	semidirect
990. #465	C₂²×C₆₁	semidirect
991. #464	C₂²×C₆₁	semidirect
992. #464	C₂²×C₆₁	semidirect
993. #464	C₂²×C₆₁	semidirect
994. #464	C₂²×C₆₁	semidirect
999. #451	C₂²×C₆₁	semidirect
1000. #451	C₂²×C₆₁	semidirect
1001. #451	C₂²×C₆₁	semidirect
1002. #451	C₂²×C₆₁	semidirect
1003. #450	C₂²×C₆₁	semidirect
1004. #450	C₂²×C₆₁	semidirect
1007. #441	C₂²×C₆₁	semidirect
1008. #441	C₂²×C₆₁	semidirect
1009. #440	C₂²×C₆₁	semidirect
1010. #440	C₂²×C₆₁	semidirect
1011. C₄×Q₁₆	C₂²×C₆₁	semidirect
1012. C₄×Q₁₆	C₂²×C₆₁	semidirect
1013. C₄×SD₁₆	C₂²×C₆₁	semidirect
1014. C₄×SD₁₆	C₂²×C₆₁	semidirect
1016. #436	C₂²×C₆₁	semidirect
1019. #435	C₂²×C₆₁	semidirect
1020. #435	C₂²×C₆₁	semidirect
1022. C₈×D₄	C₂²×C₆₁	semidirect
1023. #433	C₂²×C₆₁	semidirect
1024. #433	C₂²×C₆₁	semidirect
1025. #428	C₂²×C₆₁	semidirect
1026. #428	C₂²×C₆₁	semidirect
1027. #428	C₂²×C₆₁	semidirect
1028. #428	C₂²×C₆₁	semidirect
1029. #427	C₂²×C₆₁	semidirect
1030. #427	C₂²×C₆₁	semidirect
1031. #427	C₂²×C₆₁	semidirect
1032. #427	C₂²×C₆₁	semidirect
1033. #419	C₂²×C₆₁	semidirect
1034. #418	C₂²×C₆₁	semidirect
1039. C₂×#103	C₂²×C₆₁	semidirect
1040. C₂×#102	C₂²×C₆₁	semidirect
1043. #407	C₂²×C₆₁	semidirect
1044. C₂×C₂²⋊C₈	C₂²×C₆₁	semidirect
1045. C₆₁	#61760	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×#3540	2
C₆₁×#3495	2
C₆₁×#3357	2
C₆₁×#3356	2
C₆₁×#3349	2
C₆₁×#3348	2
C₆₁×#3342	2
C₆₁×#3340	2
C₆₁×#3327	2
C₆₁×#3323	2
C₆₁×#3316	2
C₆₁×#3314	2
C₆₁×#3313	2
C₆₁×#3311	2
C₆₁×#3300	2
C₆₁×#3296	2
C₆₁×#3244	2
C₆₁×#3243	2
C₆₁×#3202	2
C₆₁×#3200	2
C₆₁×#3196	2
C₆₁×#3190	2
C₆₁×#3121	2
C₆₁×#3097	2
C₆₁×#3096	2
C₆₁×#3093	2
C₆₁×#3091	2
C₆₁×#2976	2
#61760	61

Subgroups — C61×#61760 #29565193

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61760 #29565193