Subgroups — C₆₁×#61532 #29564965

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3521	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3515	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3389	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3349	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3344	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3315	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3315	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3314	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3307	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3302	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3296	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3283	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3181	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3177	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3124	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#2968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#2952	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#2946	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2943	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×AGL(1,ℤ/8)×C₆₁	C₂²	1	1	yes	characteristic
33	C₂×#135×C₆₁	C₂²	1	1	yes	characteristic
34	C₂×#135×C₆₁	C₂²	1	1	yes	characteristic
35	C₆₁×#557	C₂²	1	1	yes	characteristic, complemented
36	C₆₁×#556	C₂²	1	1	yes	characteristic
37	C₆₁×#556	C₂²	1	1	yes	characteristic
38	C₆₁×#554	C₂²	1	1	yes	characteristic
39	C₆₁×#554	C₂²	1	1	yes	characteristic
40	C₆₁×#554	C₂²	1	1	yes	characteristic, complemented
41	C₆₁×#553	—	2	1	no	—
42	C₆₁×#553	—	2	1	no	—
43	C₆₁×#553	C₂²	1	1	yes	characteristic
44	C₆₁×#552	—	2	1	no	—
45	C₆₁×#552	—	2	1	no	—
46	C₆₁×#552	—	2	1	no	—
47	C₆₁×#552	—	2	1	no	—
48	C₆₁×#552	C₂²	1	1	yes	characteristic
49	C₆₁×#552	C₂²	1	1	yes	characteristic
50	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
51	C₆₁×#551	—	2	1	no	—
52	C₆₁×#551	—	2	1	no	—
53	C₆₁×#547	C₂²	1	1	yes	characteristic
54	C₆₁×#547	C₂²	1	1	yes	characteristic
55	C₆₁×#547	C₂²	1	1	yes	characteristic
56	C₆₁×#547	C₂²	1	1	yes	characteristic, complemented
57	C₆₁×#546	C₂²	1	1	yes	characteristic
58	C₆₁×#546	C₂²	1	1	yes	characteristic
59	C₆₁×#542	C₂²	1	1	yes	characteristic
60	C₆₁×#541	C₂²	1	1	yes	characteristic
61	C₆₁×#541	C₂²	1	1	yes	characteristic
62	C₆₁×#541	C₂²	1	1	yes	characteristic, complemented
63	C₆₁×#539	—	2	1	no	—
64	C₆₁×#539	—	2	1	no	—
65	C₆₁×#539	—	2	1	no	—
66	C₆₁×#538	—	2	1	no	—
67	C₆₁×#533	C₂²	1	1	yes	characteristic, complemented
68	C₆₁×#529	—	2	1	no	—
69	C₆₁×#529	—	2	1	no	—
70	C₆₁×#529	C₂²	1	1	yes	characteristic
71	C₆₁×#529	C₂²	1	1	yes	characteristic
72	C₂×#126×C₆₁	—	2	1	no	—
73	C₂×#125×C₆₁	—	2	1	no	—
74	C₆₁×#520	C₂²	1	1	yes	characteristic
75	C₆₁×#520	C₂²	1	1	yes	characteristic
76	C₆₁×#520	C₂²	1	1	yes	characteristic, complemented
77	C₆₁×#518	C₂²	1	1	yes	characteristic
78	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
79	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
80	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
81	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
82	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
83	C₆₁×#497	C₂²	1	1	yes	characteristic
84	C₆₁×#497	C₂²	1	1	yes	characteristic
85	C₆₁×#494	C₂²	1	1	yes	characteristic, complemented
86	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
87	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
88	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
89	C₆₁×#489	C₂²	1	1	yes	characteristic
90	C₆₁×#488	C₂²	1	1	yes	characteristic
91	C₆₁×#487	C₂²	1	1	yes	characteristic, complemented
92	C₆₁×#485	C₂²	1	1	yes	characteristic
93	C₆₁×#485	C₂²	1	1	yes	characteristic
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×#484	C₂²	1	1	yes	characteristic
98	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
99	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
100	C₆₁×#483	C₂²	1	1	yes	characteristic
101	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
102	C₆₁×#482	C₂²	1	1	yes	characteristic
103	C₆₁×#480	C₂²	1	1	yes	characteristic
104	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₆₁×#478	C₂²	1	1	yes	characteristic
108	C₆₁×#478	C₂²	1	1	yes	characteristic
109	C₆₁×#478	C₂²	1	1	yes	characteristic
110	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
111	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
112	C₆₁×#477	C₂²	1	1	yes	characteristic, complemented
113	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
114	C₆₁×#474	C₂²	1	1	yes	characteristic
115	C₆₁×#474	C₂²	1	1	yes	characteristic, complemented
116	C₆₁×#470	C₂²	1	1	yes	characteristic
117	C₆₁×#470	C₂²	1	1	yes	characteristic
118	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
119	C₆₁×#468	C₂²	1	1	yes	characteristic
120	C₆₁×#467	C₂²	1	1	yes	characteristic
121	C₆₁×#467	C₂²	1	1	yes	characteristic
122	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
123	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
124	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
125	C₆₁×#465	C₂²	1	1	yes	characteristic
126	C₆₁×#465	C₂²	1	1	yes	characteristic
127	C₆₁×#465	C₂²	1	1	yes	characteristic
128	C₆₁×#464	C₂²	1	1	yes	characteristic
129	C₆₁×#464	C₂²	1	1	yes	characteristic
130	C₆₁×#463	C₂²	1	1	yes	characteristic
131	C₆₁×#463	C₂²	1	1	yes	characteristic
132	C₆₁×#462	C₂²	1	1	yes	characteristic, complemented
133	C₆₁×#462	C₂²	1	1	yes	characteristic, complemented
134	C₆₁×#462	C₂²	1	1	yes	characteristic, complemented
135	C₆₁×#461	C₂²	1	1	yes	characteristic
136	C₆₁×#461	C₂²	1	1	yes	characteristic
137	C₆₁×#461	C₂²	1	1	yes	characteristic
138	C₆₁×#461	C₂²	1	1	yes	characteristic
139	C₆₁×#461	C₂²	1	1	yes	characteristic, complemented
140	C₆₁×#452	C₂²	1	1	yes	characteristic
141	C₆₁×#452	C₂²	1	1	yes	characteristic
142	C₆₁×#452	C₂²	1	1	yes	characteristic
143	C₆₁×#452	C₂²	1	1	yes	characteristic
144	C₆₁×#452	C₂²	1	1	yes	characteristic
145	C₆₁×#452	C₂²	1	1	yes	characteristic
146	C₆₁×#452	C₂²	1	1	yes	characteristic, complemented
147	C₆₁×#452	C₂²	1	1	yes	characteristic, complemented
148	C₆₁×#450	C₂²	1	1	yes	characteristic
149	C₆₁×#450	C₂²	1	1	yes	characteristic
150	C₆₁×#449	C₂²	1	1	yes	characteristic
151	C₆₁×#449	C₂²	1	1	yes	characteristic
152	C₆₁×#446	C₂²	1	1	yes	characteristic, complemented
153	C₆₁×#446	C₂²	1	1	yes	characteristic, complemented
154	C₆₁×#442	C₂²	1	1	yes	characteristic
155	C₆₁×#442	C₂²	1	1	yes	characteristic
156	C₆₁×#442	C₂²	1	1	yes	characteristic
157	C₆₁×#442	C₂²	1	1	yes	characteristic
158	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
159	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
160	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
161	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
162	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
163	C₆₁×#440	C₂²	1	1	yes	characteristic
164	C₆₁×#440	C₂²	1	1	yes	characteristic
165	C₆₁×#440	C₂²	1	1	yes	characteristic
166	C₆₁×#440	C₂²	1	1	yes	characteristic
167	C₆₁×#440	C₂²	1	1	yes	characteristic
168	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
169	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
172	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
174	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
175	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
176	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
177	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
178	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
181	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
182	C₆₁×#435	C₂²	1	1	yes	characteristic
183	C₆₁×#435	C₂²	1	1	yes	characteristic
184	C₆₁×#435	C₂²	1	1	yes	characteristic
185	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
188	C₆₁×#433	C₂²	1	1	yes	characteristic
189	C₆₁×#433	C₂²	1	1	yes	characteristic, complemented
190	C₆₁×#431	C₂²	1	1	yes	characteristic, complemented
191	C₆₁×#428	C₂²	1	1	yes	characteristic
192	C₆₁×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×#106×C₆₁	C₂²	1	1	yes	characteristic, complemented
194	C₆₁×#417	C₂²	1	1	yes	characteristic
195	C₆₁×#417	C₂²	1	1	yes	characteristic, complemented
196	C₆₁×#416	C₂²	1	1	yes	characteristic
197	C₆₁×#416	C₂²	1	1	yes	characteristic
198	C₆₁×#416	C₂²	1	1	yes	characteristic, complemented
199	C₂×#102×C₆₁	C₂²	1	1	yes	characteristic
200	C₆₁×#405	C₂²	1	1	yes	characteristic
201	C₆₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₂×#97×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	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
209	AGL(1,ℤ/8)×C₆₁	—	2	4	no	—
210	#135×C₆₁	—	2	4	no	—
211	#135×C₆₁	—	2	4	no	—
212	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
215	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
217	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
229	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
231	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
236	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
237	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
238	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
239	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
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	#126×C₆₁	—	2	1	no	—
249	#126×C₆₁	—	2	1	no	—
250	#126×C₆₁	—	2	1	no	—
251	#126×C₆₁	—	2	1	no	—
252	#126×C₆₁	—	2	1	no	—
253	#126×C₆₁	—	2	1	no	—
254	#126×C₆₁	—	2	1	no	—
255	#126×C₆₁	—	2	1	no	—
256	#126×C₆₁	D₄	1	1	yes	characteristic
257	#126×C₆₁	D₄	1	1	yes	characteristic
258	#125×C₆₁	—	2	1	no	—
259	#125×C₆₁	—	2	1	no	—
260	#125×C₆₁	—	2	1	no	—
261	#125×C₆₁	—	2	1	no	—
262	#125×C₆₁	—	2	1	no	—
263	#125×C₆₁	—	2	1	no	—
264	#125×C₆₁	—	2	1	no	—
265	#125×C₆₁	—	2	1	no	—
266	#125×C₆₁	—	2	1	no	—
267	#125×C₆₁	—	2	1	no	—
268	#125×C₆₁	—	2	1	no	—
269	#125×C₆₁	—	2	1	no	—
270	#125×C₆₁	—	2	1	no	—
271	#125×C₆₁	—	2	1	no	—
272	#125×C₆₁	D₄	1	1	yes	characteristic
273	#125×C₆₁	C₂³	1	1	yes	characteristic
274	#125×C₆₁	C₂³	1	1	yes	characteristic
275	#125×C₆₁	C₂³	1	1	yes	characteristic
276	#125×C₆₁	C₂³	1	1	yes	characteristic
277	#124×C₆₁	—	2	1	no	—
278	#124×C₆₁	—	2	1	no	—
279	#124×C₆₁	D₄	1	1	yes	characteristic
280	#124×C₆₁	C₂³	1	1	yes	characteristic
281	#124×C₆₁	C₂³	1	1	yes	characteristic
282	#123×C₆₁	—	2	1	no	—
283	#123×C₆₁	—	2	1	no	—
284	#123×C₆₁	—	2	1	no	—
285	#123×C₆₁	—	2	1	no	—
286	#123×C₆₁	—	2	1	no	—
287	#123×C₆₁	—	2	1	no	—
288	#123×C₆₁	—	2	1	no	—
289	#123×C₆₁	—	2	1	no	—
290	#123×C₆₁	—	2	1	no	—
291	#123×C₆₁	—	2	1	no	—
292	#123×C₆₁	—	2	1	no	—
293	#123×C₆₁	—	2	1	no	—
294	#123×C₆₁	—	2	1	no	—
295	#123×C₆₁	—	2	1	no	—
296	#123×C₆₁	—	2	1	no	—
297	#123×C₆₁	—	2	1	no	—
298	#123×C₆₁	D₄	1	1	yes	characteristic
299	#123×C₆₁	D₄	1	1	yes	characteristic
300	C₂²⋊Q₈×C₆₁	—	2	1	no	—
301	C₂²⋊Q₈×C₆₁	—	2	1	no	—
302	C₂²⋊Q₈×C₆₁	—	2	1	no	—
303	C₂²⋊Q₈×C₆₁	—	2	1	no	—
304	C₂²⋊Q₈×C₆₁	—	2	1	no	—
305	C₂²⋊Q₈×C₆₁	—	2	1	no	—
306	C₂²⋊Q₈×C₆₁	—	2	1	no	—
307	C₂²⋊Q₈×C₆₁	—	2	1	no	—
308	C₂²⋊Q₈×C₆₁	—	2	1	no	—
309	C₂²⋊Q₈×C₆₁	—	2	1	no	—
310	C₂²⋊Q₈×C₆₁	—	2	1	no	—
311	C₂²⋊Q₈×C₆₁	D₄	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	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
321	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
322	#121×C₆₁	—	2	1	no	—
323	#121×C₆₁	—	2	1	no	—
324	#121×C₆₁	—	2	1	no	—
325	#121×C₆₁	—	2	1	no	—
326	#121×C₆₁	—	2	1	no	—
327	#121×C₆₁	—	2	1	no	—
328	#121×C₆₁	—	2	1	no	—
329	#121×C₆₁	D₄	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	C₄×Q₈×C₆₁	—	2	1	no	—
335	C₄×Q₈×C₆₁	—	2	1	no	—
336	C₄×Q₈×C₆₁	—	2	1	no	—
337	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
339	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
348	C₄×D₄×C₆₁	—	2	1	no	—
349	C₄×D₄×C₆₁	—	2	1	no	—
350	C₄×D₄×C₆₁	—	2	1	no	—
351	C₄×D₄×C₆₁	—	2	1	no	—
352	C₄×D₄×C₆₁	—	2	1	no	—
353	C₄×D₄×C₆₁	—	2	1	no	—
354	C₄×D₄×C₆₁	—	2	1	no	—
355	C₄×D₄×C₆₁	—	2	1	no	—
356	C₄×D₄×C₆₁	—	2	1	no	—
357	C₄×D₄×C₆₁	—	2	1	no	—
358	C₄×D₄×C₆₁	—	2	1	no	—
359	C₄×D₄×C₆₁	—	2	1	no	—
360	C₄×D₄×C₆₁	—	2	1	no	—
361	C₄×D₄×C₆₁	—	2	1	no	—
362	C₄×D₄×C₆₁	—	2	1	no	—
363	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
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	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
376	#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	—	2	1	no	—
381	#117×C₆₁	—	2	1	no	—
382	#117×C₆₁	—	2	1	no	—
383	#117×C₆₁	—	2	1	no	—
384	#117×C₆₁	—	2	1	no	—
385	#117×C₆₁	—	2	1	no	—
386	#117×C₆₁	—	2	1	no	—
387	#117×C₆₁	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	#117×C₆₁	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
393	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
394	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
395	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
396	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
397	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
398	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
399	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
400	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
401	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
408	C₂×C₄²×C₆₁	—	2	1	no	—
409	C₂×C₄²×C₆₁	—	2	1	no	—
410	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
411	#107×C₆₁	C₂³	1	1	yes	characteristic
412	#107×C₆₁	C₂³	1	1	yes	characteristic
413	#107×C₆₁	C₂³	1	1	yes	characteristic
414	#107×C₆₁	C₂³	1	1	yes	characteristic
415	#107×C₆₁	C₂³	1	1	yes	characteristic
416	#107×C₆₁	C₂³	1	1	yes	characteristic
417	#107×C₆₁	C₂³	1	1	yes	characteristic
418	#107×C₆₁	C₂³	1	1	yes	characteristic
419	#106×C₆₁	C₂³	1	1	yes	characteristic
420	#106×C₆₁	C₂³	1	1	yes	characteristic
421	#106×C₆₁	C₂³	1	1	yes	characteristic
422	#106×C₆₁	C₂³	1	1	yes	characteristic
423	#106×C₆₁	C₂³	1	1	yes	characteristic
424	#106×C₆₁	C₂³	1	1	yes	characteristic
425	#106×C₆₁	C₂³	1	1	yes	characteristic
426	#106×C₆₁	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
433	#103×C₆₁	C₂³	1	1	yes	characteristic
434	#103×C₆₁	C₂³	1	1	yes	characteristic
435	#103×C₆₁	C₂³	1	1	yes	characteristic
436	#103×C₆₁	C₂³	1	1	yes	characteristic
437	#103×C₆₁	C₂³	1	1	yes	characteristic
438	#103×C₆₁	C₂³	1	1	yes	characteristic
439	#103×C₆₁	C₂³	1	1	yes	characteristic
440	#103×C₆₁	C₂³	1	1	yes	characteristic
441	#103×C₆₁	C₂³	1	1	yes	characteristic
442	#103×C₆₁	C₂³	1	1	yes	characteristic
443	#103×C₆₁	C₂³	1	1	yes	characteristic
444	#103×C₆₁	C₂³	1	1	yes	characteristic
445	#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	#103×C₆₁	C₂³	1	1	yes	characteristic
451	#103×C₆₁	C₂³	1	1	yes	characteristic
452	#103×C₆₁	C₂³	1	1	yes	characteristic
453	#102×C₆₁	C₂³	1	1	yes	characteristic
454	#102×C₆₁	C₂³	1	1	yes	characteristic
455	#102×C₆₁	C₂³	1	1	yes	characteristic
456	#102×C₆₁	C₂³	1	1	yes	characteristic
457	#102×C₆₁	C₂³	1	1	yes	characteristic
458	#102×C₆₁	C₂³	1	1	yes	characteristic
459	#102×C₆₁	C₂³	1	1	yes	characteristic
460	#102×C₆₁	C₂³	1	1	yes	characteristic
461	#102×C₆₁	C₂³	1	1	yes	characteristic
462	#102×C₆₁	C₂³	1	1	yes	characteristic
463	#102×C₆₁	C₂³	1	1	yes	characteristic
464	#102×C₆₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
471	#97×C₆₁	C₂³	1	1	yes	characteristic
472	#97×C₆₁	C₂³	1	1	yes	characteristic
473	#97×C₆₁	C₂³	1	1	yes	characteristic
474	#97×C₆₁	C₂³	1	1	yes	characteristic
475	#97×C₆₁	C₂³	1	1	yes	characteristic
476	#97×C₆₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
481	C₂⁴×C₆₁	—	2	1	no	—
482	#41×C₆₁	—	2	2	no	—
483	#41×C₆₁	—	2	2	no	—
484	#41×C₆₁	—	2	2	no	—
485	#41×C₆₁	—	2	2	no	—
486	#41×C₆₁	—	2	2	no	—
487	#41×C₆₁	—	4	1	no	—
488	#41×C₆₁	—	4	1	no	—
489	#41×C₆₁	—	4	1	no	—
490	#41×C₆₁	—	4	1	no	—
491	#41×C₆₁	—	4	1	no	—
492	C₂×Q₈×C₆₁	—	2	1	no	—
493	C₂×Q₈×C₆₁	—	2	1	no	—
494	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₆₁	—	2	2	no	—
501	C₂×D₄×C₆₁	—	2	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	—	4	1	no	—
510	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₆₁	—	2	1	no	—
517	C₂²×C₄×C₆₁	—	2	1	no	—
518	C₂²×C₄×C₆₁	—	2	1	no	—
519	C₂²×C₄×C₆₁	—	2	1	no	—
520	C₂²×C₄×C₆₁	—	2	1	no	—
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	—	2	1	no	—
533	C₂²×C₄×C₆₁	—	2	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	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
539	Q₁₆×C₆₁	—	2	2	no	—
540	Q₁₆×C₆₁	—	2	2	no	—
541	Q₁₆×C₆₁	—	4	1	no	—
542	Q₁₆×C₆₁	—	4	1	no	—
543	Q₁₆×C₆₁	—	4	1	no	—
544	Q₁₆×C₆₁	—	4	1	no	—
545	SD₁₆×C₆₁	—	2	2	no	—
546	SD₁₆×C₆₁	—	2	2	no	—
547	SD₁₆×C₆₁	—	2	2	no	—
548	SD₁₆×C₆₁	—	2	2	no	—
549	SD₁₆×C₆₁	—	2	2	no	—
550	SD₁₆×C₆₁	—	2	2	no	—
551	SD₁₆×C₆₁	—	4	1	no	—
552	SD₁₆×C₆₁	—	4	1	no	—
553	D₈×C₆₁	—	2	2	no	—
554	D₈×C₆₁	#41	1	4	yes	—
555	M₁₆×C₆₁	—	2	2	no	—
556	M₁₆×C₆₁	—	4	1	no	—
557	C₂×C₈×C₆₁	—	2	2	no	—
558	C₂×C₈×C₆₁	—	2	2	no	—
559	C₂×C₈×C₆₁	—	4	1	no	—
560	C₂×C₈×C₆₁	—	4	1	no	—
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	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
600	C₄⋊C₄×C₆₁	—	2	1	no	—
601	C₄⋊C₄×C₆₁	—	2	1	no	—
602	C₄⋊C₄×C₆₁	—	2	1	no	—
603	C₄⋊C₄×C₆₁	—	2	1	no	—
604	C₄⋊C₄×C₆₁	—	2	1	no	—
605	C₄⋊C₄×C₆₁	—	2	1	no	—
606	C₄⋊C₄×C₆₁	—	2	1	no	—
607	C₄⋊C₄×C₆₁	—	2	1	no	—
608	C₄⋊C₄×C₆₁	—	2	1	no	—
609	C₄⋊C₄×C₆₁	—	2	1	no	—
610	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
628	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	—	2	1	no	—
652	C₂²⋊C₄×C₆₁	—	2	1	no	—
653	C₂²⋊C₄×C₆₁	—	2	1	no	—
654	C₂²⋊C₄×C₆₁	—	2	1	no	—
655	C₂²⋊C₄×C₆₁	—	2	1	no	—
656	C₂²⋊C₄×C₆₁	—	2	1	no	—
657	C₂²⋊C₄×C₆₁	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	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
667	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	—	2	1	no	—
678	C₄²×C₆₁	—	2	1	no	—
679	C₄²×C₆₁	—	2	1	no	—
680	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
682	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
683	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
684	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
685	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
686	C₂³×C₆₁	—	2	1	no	—
687	C₂³×C₆₁	—	2	1	no	—
688	C₂³×C₆₁	—	2	1	no	—
689	C₂³×C₆₁	—	4	2	no	—
690	C₂³×C₆₁	—	8	1	no	—
691	C₂³×C₆₁	—	8	1	no	—
692	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
693	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
694	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
701	Q₈×C₆₁	—	2	1	no	—
702	Q₈×C₆₁	—	2	1	no	—
703	Q₈×C₆₁	—	2	1	no	—
704	Q₈×C₆₁	—	2	1	no	—
705	Q₈×C₆₁	—	4	1	no	—
706	Q₈×C₆₁	—	8	1	no	—
707	Q₈×C₆₁	—	8	1	no	—
708	D₄×C₆₁	—	2	1	no	—
709	D₄×C₆₁	—	2	1	no	—
710	D₄×C₆₁	—	2	1	no	—
711	D₄×C₆₁	—	2	1	no	—
712	D₄×C₆₁	—	4	1	no	—
713	D₄×C₆₁	—	4	1	no	—
714	D₄×C₆₁	—	4	1	no	—
715	D₄×C₆₁	—	4	2	no	—
716	D₄×C₆₁	—	4	2	no	—
717	D₄×C₆₁	—	4	2	no	—
718	D₄×C₆₁	—	4	2	no	—
719	D₄×C₆₁	—	4	2	no	—
720	D₄×C₆₁	—	4	2	no	—
721	D₄×C₆₁	—	8	1	no	—
722	D₄×C₆₁	—	8	1	no	—
723	D₄×C₆₁	C₂×#41	1	2	yes	—
724	D₄×C₆₁	C₂×#41	1	2	yes	—
725	C₂×C₄×C₆₁	—	2	1	no	—
726	C₂×C₄×C₆₁	—	2	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	—	4	1	no	—
745	C₂×C₄×C₆₁	—	4	1	no	—
746	C₂×C₄×C₆₁	—	4	2	no	—
747	C₂×C₄×C₆₁	—	4	2	no	—
748	C₂×C₄×C₆₁	—	4	2	no	—
749	C₂×C₄×C₆₁	—	4	2	no	—
750	C₂×C₄×C₆₁	—	4	2	no	—
751	C₂×C₄×C₆₁	—	4	2	no	—
752	C₂×C₄×C₆₁	—	8	1	no	—
753	C₂×C₄×C₆₁	—	8	1	no	—
754	C₂×C₄×C₆₁	—	8	1	no	—
755	C₂×C₄×C₆₁	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
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	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
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	C₈×C₆₁	C₂×#41	1	2	yes	—
784	#61532	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
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	2	no	—
795	C₂²×C₆₁	—	2	2	no	—
796	C₂²×C₆₁	—	4	1	no	—
797	C₂²×C₆₁	—	4	1	no	—
798	C₂²×C₆₁	—	4	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	—	16	2	no	—
804	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
805	C₄×C₆₁	—	2	1	no	—
806	C₄×C₆₁	—	2	1	no	—
807	C₄×C₆₁	—	2	1	no	—
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	—	4	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	C₂²×#41	1	1	yes	characteristic
830	C₄×C₆₁	#585	1	1	yes	characteristic
831	#3521	C₂×C₆₁	1	1	yes	characteristic, complemented
832	#3515	C₂×C₆₁	1	1	yes	characteristic, complemented
833	#3398	C₂×C₆₁	1	1	yes	characteristic, complemented
834	#3389	C₂×C₆₁	1	1	yes	characteristic, complemented
835	#3376	C₂×C₆₁	1	1	yes	characteristic, complemented
836	#3372	C₂×C₆₁	1	1	yes	characteristic, complemented
837	#3349	C₂×C₆₁	1	1	yes	characteristic, complemented
838	#3344	C₂×C₆₁	1	1	yes	characteristic, complemented
839	#3337	C₂×C₆₁	1	1	yes	characteristic, complemented
840	#3315	C₂×C₆₁	1	1	yes	characteristic, complemented
841	#3315	C₂×C₆₁	1	1	yes	characteristic, complemented
842	#3314	C₂×C₆₁	1	1	yes	characteristic, complemented
843	#3307	C₂×C₆₁	1	1	yes	characteristic, complemented
844	#3302	C₂×C₆₁	1	1	yes	characteristic, complemented
845	#3296	C₂×C₆₁	1	1	yes	characteristic, complemented
846	#3283	C₂×C₆₁	1	1	yes	characteristic, complemented
847	#3267	C₂×C₆₁	1	1	yes	characteristic, complemented
848	#3267	C₂×C₆₁	1	1	yes	characteristic, complemented
849	#3181	C₂×C₆₁	1	1	yes	characteristic, complemented
850	#3178	C₂×C₆₁	1	1	yes	characteristic, complemented
851	#3177	C₂×C₆₁	1	1	yes	characteristic, complemented
852	#3124	C₂×C₆₁	1	1	yes	characteristic, complemented
853	#3123	C₂×C₆₁	1	1	yes	characteristic, complemented
854	#3120	C₂×C₆₁	1	1	yes	characteristic, complemented
855	#3120	C₂×C₆₁	1	1	yes	characteristic, complemented
856	#3107	C₂×C₆₁	1	1	yes	characteristic, complemented
857	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
858	#2968	C₂×C₆₁	1	1	yes	characteristic, complemented
859	#2952	C₂×C₆₁	1	1	yes	characteristic, complemented
860	#2946	C₂×C₆₁	1	1	yes	characteristic, complemented
861	#2943	C₂×C₆₁	1	1	yes	characteristic, complemented
862	C₂×C₆₁	—	4	1	no	—
863	C₂×C₆₁	—	4	1	no	—
864	C₂×C₆₁	—	4	1	no	—
865	C₂×C₆₁	—	4	2	no	—
866	C₂×C₆₁	—	4	2	no	—
867	C₂×C₆₁	—	8	1	no	—
868	C₂×C₆₁	D₄×#41	1	1	yes	characteristic
869	C₂×C₆₁	#3584	1	1	yes	characteristic
870	C₂×C₆₁	#3586	1	1	yes	characteristic
871	C₂×AGL(1,ℤ/8)	C₂²×C₆₁	1	1	yes	characteristic
872	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic
873	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic
874	#557	C₂²×C₆₁	1	1	yes	characteristic, complemented
875	#556	C₂²×C₆₁	1	1	yes	characteristic
876	#556	C₂²×C₆₁	1	1	yes	characteristic
877	#554	C₂²×C₆₁	1	1	yes	characteristic
878	#554	C₂²×C₆₁	1	1	yes	characteristic
879	#554	C₂²×C₆₁	1	1	yes	characteristic, complemented
880	#553	—	2	1	no	—
881	#553	—	2	1	no	—
882	#553	C₂²×C₆₁	1	1	yes	characteristic
883	#552	—	2	1	no	—
884	#552	—	2	1	no	—
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	#551	—	2	1	no	—
891	#551	—	2	1	no	—
892	#547	C₂²×C₆₁	1	1	yes	characteristic
893	#547	C₂²×C₆₁	1	1	yes	characteristic
894	#547	C₂²×C₆₁	1	1	yes	characteristic
895	#547	C₂²×C₆₁	1	1	yes	characteristic, complemented
896	#546	C₂²×C₆₁	1	1	yes	characteristic
897	#546	C₂²×C₆₁	1	1	yes	characteristic
898	#542	C₂²×C₆₁	1	1	yes	characteristic
899	#541	C₂²×C₆₁	1	1	yes	characteristic
900	#541	C₂²×C₆₁	1	1	yes	characteristic
901	#541	C₂²×C₆₁	1	1	yes	characteristic, complemented
902	#539	—	2	1	no	—
903	#539	—	2	1	no	—
904	#539	—	2	1	no	—
905	#538	—	2	1	no	—
906	#533	C₂²×C₆₁	1	1	yes	characteristic, complemented
907	#529	—	2	1	no	—
908	#529	—	2	1	no	—
909	#529	C₂²×C₆₁	1	1	yes	characteristic
910	#529	C₂²×C₆₁	1	1	yes	characteristic
911	C₂×#126	—	2	1	no	—
912	C₂×#125	—	2	1	no	—
913	#520	C₂²×C₆₁	1	1	yes	characteristic
914	#520	C₂²×C₆₁	1	1	yes	characteristic
915	#520	C₂²×C₆₁	1	1	yes	characteristic, complemented
916	#518	C₂²×C₆₁	1	1	yes	characteristic
917	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
918	C₄×#41	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	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
922	#497	C₂²×C₆₁	1	1	yes	characteristic
923	#497	C₂²×C₆₁	1	1	yes	characteristic
924	#494	C₂²×C₆₁	1	1	yes	characteristic, complemented
925	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
926	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
927	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
928	#489	C₂²×C₆₁	1	1	yes	characteristic
929	#488	C₂²×C₆₁	1	1	yes	characteristic
930	#487	C₂²×C₆₁	1	1	yes	characteristic, complemented
931	#485	C₂²×C₆₁	1	1	yes	characteristic
932	#485	C₂²×C₆₁	1	1	yes	characteristic
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	#484	C₂²×C₆₁	1	1	yes	characteristic
937	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
938	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
939	#483	C₂²×C₆₁	1	1	yes	characteristic
940	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
941	#482	C₂²×C₆₁	1	1	yes	characteristic
942	#480	C₂²×C₆₁	1	1	yes	characteristic
943	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
944	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
945	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
946	#478	C₂²×C₆₁	1	1	yes	characteristic
947	#478	C₂²×C₆₁	1	1	yes	characteristic
948	#478	C₂²×C₆₁	1	1	yes	characteristic
949	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
950	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
951	#477	C₂²×C₆₁	1	1	yes	characteristic, complemented
952	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
953	#474	C₂²×C₆₁	1	1	yes	characteristic
954	#474	C₂²×C₆₁	1	1	yes	characteristic, complemented
955	#470	C₂²×C₆₁	1	1	yes	characteristic
956	#470	C₂²×C₆₁	1	1	yes	characteristic
957	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
958	#468	C₂²×C₆₁	1	1	yes	characteristic
959	#467	C₂²×C₆₁	1	1	yes	characteristic
960	#467	C₂²×C₆₁	1	1	yes	characteristic
961	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
962	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
963	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
964	#465	C₂²×C₆₁	1	1	yes	characteristic
965	#465	C₂²×C₆₁	1	1	yes	characteristic
966	#465	C₂²×C₆₁	1	1	yes	characteristic
967	#464	C₂²×C₆₁	1	1	yes	characteristic
968	#464	C₂²×C₆₁	1	1	yes	characteristic
969	#463	C₂²×C₆₁	1	1	yes	characteristic
970	#463	C₂²×C₆₁	1	1	yes	characteristic
971	#462	C₂²×C₆₁	1	1	yes	characteristic, complemented
972	#462	C₂²×C₆₁	1	1	yes	characteristic, complemented
973	#462	C₂²×C₆₁	1	1	yes	characteristic, complemented
974	#461	C₂²×C₆₁	1	1	yes	characteristic
975	#461	C₂²×C₆₁	1	1	yes	characteristic
976	#461	C₂²×C₆₁	1	1	yes	characteristic
977	#461	C₂²×C₆₁	1	1	yes	characteristic
978	#461	C₂²×C₆₁	1	1	yes	characteristic, complemented
979	#452	C₂²×C₆₁	1	1	yes	characteristic
980	#452	C₂²×C₆₁	1	1	yes	characteristic
981	#452	C₂²×C₆₁	1	1	yes	characteristic
982	#452	C₂²×C₆₁	1	1	yes	characteristic
983	#452	C₂²×C₆₁	1	1	yes	characteristic
984	#452	C₂²×C₆₁	1	1	yes	characteristic
985	#452	C₂²×C₆₁	1	1	yes	characteristic, complemented
986	#452	C₂²×C₆₁	1	1	yes	characteristic, complemented
987	#450	C₂²×C₆₁	1	1	yes	characteristic
988	#450	C₂²×C₆₁	1	1	yes	characteristic
989	#449	C₂²×C₆₁	1	1	yes	characteristic
990	#449	C₂²×C₆₁	1	1	yes	characteristic
991	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
992	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
993	#442	C₂²×C₆₁	1	1	yes	characteristic
994	#442	C₂²×C₆₁	1	1	yes	characteristic
995	#442	C₂²×C₆₁	1	1	yes	characteristic
996	#442	C₂²×C₆₁	1	1	yes	characteristic
997	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
998	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
999	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
1000	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
1001	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
1002	#440	C₂²×C₆₁	1	1	yes	characteristic
1003	#440	C₂²×C₆₁	1	1	yes	characteristic
1004	#440	C₂²×C₆₁	1	1	yes	characteristic
1005	#440	C₂²×C₆₁	1	1	yes	characteristic
1006	#440	C₂²×C₆₁	1	1	yes	characteristic
1007	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1008	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1009	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1010	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1011	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1012	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1013	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1014	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1015	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1016	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1017	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1019	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1020	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1021	#435	C₂²×C₆₁	1	1	yes	characteristic
1022	#435	C₂²×C₆₁	1	1	yes	characteristic
1023	#435	C₂²×C₆₁	1	1	yes	characteristic
1024	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1025	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1026	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
1027	#433	C₂²×C₆₁	1	1	yes	characteristic
1028	#433	C₂²×C₆₁	1	1	yes	characteristic, complemented
1029	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
1030	#428	C₂²×C₆₁	1	1	yes	characteristic
1031	#427	C₂²×C₆₁	1	1	yes	characteristic, complemented
1032	C₂×#106	C₂²×C₆₁	1	1	yes	characteristic, complemented
1033	#417	C₂²×C₆₁	1	1	yes	characteristic
1034	#417	C₂²×C₆₁	1	1	yes	characteristic, complemented
1035	#416	C₂²×C₆₁	1	1	yes	characteristic
1036	#416	C₂²×C₆₁	1	1	yes	characteristic
1037	#416	C₂²×C₆₁	1	1	yes	characteristic, complemented
1038	C₂×#102	C₂²×C₆₁	1	1	yes	characteristic
1039	#405	C₂²×C₆₁	1	1	yes	characteristic
1040	#405	C₂²×C₆₁	1	1	yes	characteristic, complemented
1041	C₂×#97	C₂²×C₆₁	1	1	yes	characteristic, complemented
1042	C₆₁	#61532	1	1	yes	characteristic, direct product factor, Sylow
1043	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1044	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1045	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1046	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1047	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1048	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1049	AGL(1,ℤ/8)	—	2	4	no	—
1050	#135	—	2	4	no	—
1051	#135	—	2	4	no	—
1052	C₂×Q₁₆	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×Q₁₆	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×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1066	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1067	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1069	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1070	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1071	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1072	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1073	C₂²×C₈	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	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
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	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	D₄×C₆₁	1	1	yes	characteristic
1097	#126	D₄×C₆₁	1	1	yes	characteristic
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	D₄×C₆₁	1	1	yes	characteristic
1113	#125	C₂³×C₆₁	1	1	yes	characteristic
1114	#125	C₂³×C₆₁	1	1	yes	characteristic
1115	#125	C₂³×C₆₁	1	1	yes	characteristic
1116	#125	C₂³×C₆₁	1	1	yes	characteristic
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	D₄×C₆₁	1	1	yes	characteristic
1120	#124	C₂³×C₆₁	1	1	yes	characteristic
1121	#124	C₂³×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	D₄×C₆₁	1	1	yes	characteristic
1139	#123	D₄×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	D₄×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	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	D₄×C₆₁	1	1	yes	characteristic
1170	#121	C₂³×C₆₁	1	1	yes	characteristic
1171	#121	C₂³×C₆₁	1	1	yes	characteristic
1172	#120	—	2	1	no	—
1173	#120	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
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	C₂³×C₆₁	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
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	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
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	C₂×C₄⋊C₄	—	2	1	no	—
1233	C₂×C₄⋊C₄	—	2	1	no	—
1234	C₂×C₄⋊C₄	—	2	1	no	—
1235	C₂×C₄⋊C₄	—	2	1	no	—
1236	C₂×C₄⋊C₄	—	2	1	no	—
1237	C₂×C₄⋊C₄	—	2	1	no	—
1238	C₂×C₄⋊C₄	—	2	1	no	—
1239	C₂×C₄⋊C₄	—	2	1	no	—
1240	C₂×C₄⋊C₄	—	2	1	no	—
1241	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1242	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1243	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1244	C₂×C₂²⋊C₄	—	2	1	no	—
1245	C₂×C₂²⋊C₄	—	2	1	no	—
1246	C₂×C₂²⋊C₄	—	2	1	no	—
1247	C₂×C₂²⋊C₄	—	2	1	no	—
1248	C₂×C₄²	—	2	1	no	—
1249	C₂×C₄²	—	2	1	no	—
1250	C₂×C₄²	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	#107	C₂³×C₆₁	1	1	yes	characteristic
1258	#107	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	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1268	C₄⋊C₈	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	#97	C₂³×C₆₁	1	1	yes	characteristic
1312	#97	C₂³×C₆₁	1	1	yes	characteristic
1313	#97	C₂³×C₆₁	1	1	yes	characteristic
1314	#97	C₂³×C₆₁	1	1	yes	characteristic
1315	#97	C₂³×C₆₁	1	1	yes	characteristic
1316	#97	C₂³×C₆₁	1	1	yes	characteristic
1317	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1318	C₄×C₈	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	#41	—	2	2	no	—
1323	#41	—	2	2	no	—
1324	#41	—	2	2	no	—
1325	#41	—	2	2	no	—
1326	#41	—	2	2	no	—
1327	#41	—	4	1	no	—
1328	#41	—	4	1	no	—
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1335	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1336	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1337	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1338	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1339	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1340	C₂×D₄	—	2	2	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	2	1	no	—
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	—	4	1	no	—
1350	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1351	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1352	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1353	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1354	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1355	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1375	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1376	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1377	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1379	Q₁₆	—	2	2	no	—
1380	Q₁₆	—	2	2	no	—
1381	Q₁₆	—	4	1	no	—
1382	Q₁₆	—	4	1	no	—
1383	Q₁₆	—	4	1	no	—
1384	Q₁₆	—	4	1	no	—
1385	SD₁₆	—	2	2	no	—
1386	SD₁₆	—	2	2	no	—
1387	SD₁₆	—	2	2	no	—
1388	SD₁₆	—	2	2	no	—
1389	SD₁₆	—	2	2	no	—
1390	SD₁₆	—	2	2	no	—
1391	SD₁₆	—	4	1	no	—
1392	SD₁₆	—	4	1	no	—
1393	D₈	—	2	2	no	—
1394	D₈	#41×C₆₁	1	4	yes	—
1395	M₁₆	—	2	2	no	—
1396	M₁₆	—	4	1	no	—
1397	C₂×C₈	—	2	2	no	—
1398	C₂×C₈	—	2	2	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	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1452	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1453	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1454	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1455	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1456	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1460	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1461	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
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	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1505	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1521	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1522	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1525	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1526	C₂³	—	2	1	no	—
1527	C₂³	—	2	1	no	—
1528	C₂³	—	2	1	no	—
1529	C₂³	—	4	2	no	—
1530	C₂³	—	8	1	no	—
1531	C₂³	—	8	1	no	—
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	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	4	1	no	—
1546	Q₈	—	8	1	no	—
1547	Q₈	—	8	1	no	—
1548	D₄	—	2	1	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	2	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	4	1	no	—
1553	D₄	—	4	1	no	—
1554	D₄	—	4	1	no	—
1555	D₄	—	4	2	no	—
1556	D₄	—	4	2	no	—
1557	D₄	—	4	2	no	—
1558	D₄	—	4	2	no	—
1559	D₄	—	4	2	no	—
1560	D₄	—	4	2	no	—
1561	D₄	—	8	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	C₂×#41×C₆₁	1	2	yes	—
1564	D₄	C₂×#41×C₆₁	1	2	yes	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	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	—	4	1	no	—
1585	C₂×C₄	—	4	1	no	—
1586	C₂×C₄	—	4	2	no	—
1587	C₂×C₄	—	4	2	no	—
1588	C₂×C₄	—	4	2	no	—
1589	C₂×C₄	—	4	2	no	—
1590	C₂×C₄	—	4	2	no	—
1591	C₂×C₄	—	4	2	no	—
1592	C₂×C₄	—	8	1	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	8	1	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	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	C₂²×D₄×C₆₁	1	1	yes	characteristic
1605	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1606	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1607	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
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	C₂⁵×C₆₁	1	1	yes	characteristic
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
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	C₂×#41×C₆₁	1	2	yes	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	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	2	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	16	2	no	—
1643	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
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	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	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	C₂²×#41×C₆₁	1	1	yes	characteristic
1669	C₄	C₆₁×#585	1	1	yes	characteristic
1670	C₂	—	4	1	no	—
1671	C₂	—	4	1	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	2	no	—
1674	C₂	—	4	2	no	—
1675	C₂	—	8	1	no	—
1676	C₂	D₄×#41×C₆₁	1	1	yes	characteristic
1677	C₂	C₆₁×#3584	1	1	yes	characteristic
1678	C₂	C₆₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ C₆₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3521	C₂	semidirect
2. C₆₁×#3515	C₂	semidirect
3. C₆₁×#3398	C₂	semidirect
4. C₆₁×#3389	C₂	semidirect
5. C₆₁×#3376	C₂	semidirect
6. C₆₁×#3372	C₂	semidirect
7. C₆₁×#3349	C₂	semidirect
8. C₆₁×#3344	C₂	semidirect
9. C₆₁×#3337	C₂	semidirect
10. C₆₁×#3315	C₂	semidirect
11. C₆₁×#3315	C₂	semidirect
12. C₆₁×#3314	C₂	semidirect
13. C₆₁×#3307	C₂	semidirect
14. C₆₁×#3302	C₂	semidirect
15. C₆₁×#3296	C₂	semidirect
16. C₆₁×#3283	C₂	semidirect
17. C₆₁×#3267	C₂	semidirect
18. C₆₁×#3267	C₂	semidirect
19. C₆₁×#3181	C₂	semidirect
20. C₆₁×#3178	C₂	semidirect
21. C₆₁×#3177	C₂	semidirect
22. C₆₁×#3124	C₂	semidirect
23. C₆₁×#3123	C₂	semidirect
24. C₆₁×#3120	C₂	semidirect
25. C₆₁×#3120	C₂	semidirect
26. C₆₁×#3107	C₂	semidirect
27. C₆₁×#3102	C₂	semidirect
28. C₆₁×#2968	C₂	semidirect
29. C₆₁×#2952	C₂	semidirect
30. C₆₁×#2946	C₂	semidirect
31. C₆₁×#2943	C₂	semidirect
35. C₆₁×#557	C₂²	semidirect
40. C₆₁×#554	C₂²	semidirect
50. C₆₁×#552	C₂²	semidirect
56. C₆₁×#547	C₂²	semidirect
62. C₆₁×#541	C₂²	semidirect
67. C₆₁×#533	C₂²	semidirect
76. C₆₁×#520	C₂²	semidirect
79. C₄×#41×C₆₁	C₂²	semidirect
80. C₆₁×#501	C₂²	semidirect
81. C₆₁×#501	C₂²	semidirect
82. C₆₁×#499	C₂²	semidirect
85. C₆₁×#494	C₂²	semidirect
86. C₆₁×#491	C₂²	semidirect
87. C₆₁×#491	C₂²	semidirect
88. C₆₁×#491	C₂²	semidirect
91. C₆₁×#487	C₂²	semidirect
94. C₆₁×#485	C₂²	semidirect
95. C₆₁×#485	C₂²	semidirect
96. C₆₁×#485	C₂²	semidirect
98. C₆₁×#484	C₂²	semidirect
99. C₆₁×#484	C₂²	semidirect
101. C₆₁×#483	C₂²	semidirect
104. C₆₁×#479	C₂²	semidirect
105. C₆₁×#479	C₂²	semidirect
106. C₆₁×#479	C₂²	semidirect
110. C₆₁×#478	C₂²	semidirect
111. C₆₁×#478	C₂²	semidirect
112. C₆₁×#477	C₂²	semidirect
113. C₆₁×#475	C₂²	semidirect
115. C₆₁×#474	C₂²	semidirect
118. C₆₁×#470	C₂²	semidirect
122. C₆₁×#467	C₂²	semidirect
123. C₆₁×#467	C₂²	semidirect
124. C₆₁×#467	C₂²	semidirect
132. C₆₁×#462	C₂²	semidirect
133. C₆₁×#462	C₂²	semidirect
134. C₆₁×#462	C₂²	semidirect
139. C₆₁×#461	C₂²	semidirect
146. C₆₁×#452	C₂²	semidirect
147. C₆₁×#452	C₂²	semidirect
152. C₆₁×#446	C₂²	semidirect
153. C₆₁×#446	C₂²	semidirect
158. C₆₁×#441	C₂²	semidirect
159. C₆₁×#441	C₂²	semidirect
160. C₆₁×#441	C₂²	semidirect
161. C₆₁×#441	C₂²	semidirect
162. C₆₁×#441	C₂²	semidirect
168. C₆₁×#440	C₂²	semidirect
169. C₆₁×#440	C₂²	semidirect
170. C₄×Q₁₆×C₆₁	C₂²	semidirect
171. C₄×Q₁₆×C₆₁	C₂²	semidirect
172. C₄×Q₁₆×C₆₁	C₂²	semidirect
178. C₄×SD₁₆×C₆₁	C₂²	semidirect
179. C₄×SD₁₆×C₆₁	C₂²	semidirect
185. C₆₁×#435	C₂²	semidirect
187. C₈×D₄×C₆₁	C₂²	semidirect
189. C₆₁×#433	C₂²	semidirect
190. C₆₁×#431	C₂²	semidirect
192. C₆₁×#427	C₂²	semidirect
193. C₂×#106×C₆₁	C₂²	semidirect
195. C₆₁×#417	C₂²	semidirect
198. C₆₁×#416	C₂²	semidirect
201. C₆₁×#405	C₂²	semidirect
202. C₂×#97×C₆₁	C₂²	semidirect
784. #61532	C₆₁	direct (N × H)
831. #3521	C₂×C₆₁	semidirect
832. #3515	C₂×C₆₁	semidirect
833. #3398	C₂×C₆₁	semidirect
834. #3389	C₂×C₆₁	semidirect
835. #3376	C₂×C₆₁	semidirect
836. #3372	C₂×C₆₁	semidirect
837. #3349	C₂×C₆₁	semidirect
838. #3344	C₂×C₆₁	semidirect
839. #3337	C₂×C₆₁	semidirect
840. #3315	C₂×C₆₁	semidirect
841. #3315	C₂×C₆₁	semidirect
842. #3314	C₂×C₆₁	semidirect
843. #3307	C₂×C₆₁	semidirect
844. #3302	C₂×C₆₁	semidirect
845. #3296	C₂×C₆₁	semidirect
846. #3283	C₂×C₆₁	semidirect
847. #3267	C₂×C₆₁	semidirect
848. #3267	C₂×C₆₁	semidirect
849. #3181	C₂×C₆₁	semidirect
850. #3178	C₂×C₆₁	semidirect
851. #3177	C₂×C₆₁	semidirect
852. #3124	C₂×C₆₁	semidirect
853. #3123	C₂×C₆₁	semidirect
854. #3120	C₂×C₆₁	semidirect
855. #3120	C₂×C₆₁	semidirect
856. #3107	C₂×C₆₁	semidirect
857. #3102	C₂×C₆₁	semidirect
858. #2968	C₂×C₆₁	semidirect
859. #2952	C₂×C₆₁	semidirect
860. #2946	C₂×C₆₁	semidirect
861. #2943	C₂×C₆₁	semidirect
874. #557	C₂²×C₆₁	semidirect
879. #554	C₂²×C₆₁	semidirect
889. #552	C₂²×C₆₁	semidirect
895. #547	C₂²×C₆₁	semidirect
901. #541	C₂²×C₆₁	semidirect
906. #533	C₂²×C₆₁	semidirect
915. #520	C₂²×C₆₁	semidirect
918. C₄×#41	C₂²×C₆₁	semidirect
919. #501	C₂²×C₆₁	semidirect
920. #501	C₂²×C₆₁	semidirect
921. #499	C₂²×C₆₁	semidirect
924. #494	C₂²×C₆₁	semidirect
925. #491	C₂²×C₆₁	semidirect
926. #491	C₂²×C₆₁	semidirect
927. #491	C₂²×C₆₁	semidirect
930. #487	C₂²×C₆₁	semidirect
933. #485	C₂²×C₆₁	semidirect
934. #485	C₂²×C₆₁	semidirect
935. #485	C₂²×C₆₁	semidirect
937. #484	C₂²×C₆₁	semidirect
938. #484	C₂²×C₆₁	semidirect
940. #483	C₂²×C₆₁	semidirect
943. #479	C₂²×C₆₁	semidirect
944. #479	C₂²×C₆₁	semidirect
945. #479	C₂²×C₆₁	semidirect
949. #478	C₂²×C₆₁	semidirect
950. #478	C₂²×C₆₁	semidirect
951. #477	C₂²×C₆₁	semidirect
952. #475	C₂²×C₆₁	semidirect
954. #474	C₂²×C₆₁	semidirect
957. #470	C₂²×C₆₁	semidirect
961. #467	C₂²×C₆₁	semidirect
962. #467	C₂²×C₆₁	semidirect
963. #467	C₂²×C₆₁	semidirect
971. #462	C₂²×C₆₁	semidirect
972. #462	C₂²×C₆₁	semidirect
973. #462	C₂²×C₆₁	semidirect
978. #461	C₂²×C₆₁	semidirect
985. #452	C₂²×C₆₁	semidirect
986. #452	C₂²×C₆₁	semidirect
991. #446	C₂²×C₆₁	semidirect
992. #446	C₂²×C₆₁	semidirect
997. #441	C₂²×C₆₁	semidirect
998. #441	C₂²×C₆₁	semidirect
999. #441	C₂²×C₆₁	semidirect
1000. #441	C₂²×C₆₁	semidirect
1001. #441	C₂²×C₆₁	semidirect
1007. #440	C₂²×C₆₁	semidirect
1008. #440	C₂²×C₆₁	semidirect
1009. C₄×Q₁₆	C₂²×C₆₁	semidirect
1010. C₄×Q₁₆	C₂²×C₆₁	semidirect
1011. C₄×Q₁₆	C₂²×C₆₁	semidirect
1017. C₄×SD₁₆	C₂²×C₆₁	semidirect
1018. C₄×SD₁₆	C₂²×C₆₁	semidirect
1024. #435	C₂²×C₆₁	semidirect
1026. C₈×D₄	C₂²×C₆₁	semidirect
1028. #433	C₂²×C₆₁	semidirect
1029. #431	C₂²×C₆₁	semidirect
1031. #427	C₂²×C₆₁	semidirect
1032. C₂×#106	C₂²×C₆₁	semidirect
1034. #417	C₂²×C₆₁	semidirect
1037. #416	C₂²×C₆₁	semidirect
1040. #405	C₂²×C₆₁	semidirect
1041. C₂×#97	C₂²×C₆₁	semidirect
1042. C₆₁	#61532	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×#3521	2
C₆₁×#3515	2
C₆₁×#3398	2
C₆₁×#3389	2
C₆₁×#3376	2
C₆₁×#3372	2
C₆₁×#3349	2
C₆₁×#3344	2
C₆₁×#3337	2
C₆₁×#3315	2
C₆₁×#3314	2
C₆₁×#3307	2
C₆₁×#3302	2
C₆₁×#3296	2
C₆₁×#3283	2
C₆₁×#3267	2
C₆₁×#3181	2
C₆₁×#3178	2
C₆₁×#3177	2
C₆₁×#3124	2
C₆₁×#3123	2
C₆₁×#3120	2
C₆₁×#3107	2
C₆₁×#3102	2
C₆₁×#2968	2
C₆₁×#2952	2
C₆₁×#2946	2
C₆₁×#2943	2
#61532	61

Subgroups — C61×#61532 #29564965

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61532 #29564965