Subgroups — C₆₁×#61525 #29564958

Order 15616.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3516	C₂	1	1	yes	maximal, characteristic
3	C₆₁×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3390	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3374	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×#3320	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3313	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3299	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×Q₁₆×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3270	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×#3127	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3127	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3108	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3104	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#2968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#2950	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#2947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₆₁×#441	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic
33	C₂²×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
34	C₂²×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
35	C₆₁×#557	—	2	1	no	—
36	C₆₁×#557	C₂²	1	1	yes	characteristic
37	C₆₁×#557	C₂²	1	1	yes	characteristic
38	C₆₁×#557	C₂²	1	1	yes	characteristic
39	C₆₁×#556	—	2	1	no	—
40	C₆₁×#556	—	2	1	no	—
41	C₆₁×#556	C₂²	1	1	yes	characteristic
42	C₆₁×#556	C₂²	1	1	yes	characteristic
43	C₆₁×#554	—	2	1	no	—
44	C₆₁×#554	C₂²	1	1	yes	characteristic
45	C₆₁×#553	—	2	1	no	—
46	C₆₁×#553	C₂²	1	1	yes	characteristic
47	C₆₁×#552	—	2	1	no	—
48	C₆₁×#552	—	2	1	no	—
49	C₆₁×#552	—	2	1	no	—
50	C₆₁×#552	C₂²	1	1	yes	characteristic
51	C₆₁×#552	C₂²	1	1	yes	characteristic
52	C₆₁×#552	C₂²	1	1	yes	characteristic
53	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
56	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
57	C₆₁×#548	C₂²	1	1	yes	characteristic
58	C₆₁×#548	C₂²	1	1	yes	characteristic
59	C₆₁×#542	—	2	1	no	—
60	C₆₁×#542	C₂²	1	1	yes	characteristic
61	C₆₁×#541	—	2	1	no	—
62	C₆₁×#541	—	2	1	no	—
63	C₆₁×#541	—	2	1	no	—
64	C₆₁×#541	C₂²	1	1	yes	characteristic
65	C₆₁×#541	C₂²	1	1	yes	characteristic
66	C₆₁×#541	C₂²	1	1	yes	characteristic
67	C₆₁×#533	—	2	1	no	—
68	C₆₁×#533	C₂²	1	1	yes	characteristic
69	C₆₁×#529	—	2	1	no	—
70	C₆₁×#529	—	2	1	no	—
71	C₆₁×#529	—	2	1	no	—
72	C₆₁×#529	C₂²	1	1	yes	characteristic
73	C₆₁×#529	C₂²	1	1	yes	characteristic
74	C₆₁×#520	C₂²	1	1	yes	characteristic
75	C₆₁×#519	C₂²	1	1	yes	characteristic
76	C₆₁×#519	C₂²	1	1	yes	characteristic
77	C₆₁×#519	C₂²	1	1	yes	characteristic
78	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
79	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
80	C₆₁×#501	C₂²	1	1	yes	characteristic
81	C₆₁×#501	C₂²	1	1	yes	characteristic
82	C₆₁×#499	C₂²	1	1	yes	characteristic
83	C₆₁×#497	C₂²	1	1	yes	characteristic
84	C₆₁×#497	C₂²	1	1	yes	characteristic
85	C₆₁×#494	C₂²	1	1	yes	characteristic
86	C₆₁×#491	C₂²	1	1	yes	characteristic
87	C₆₁×#491	C₂²	1	1	yes	characteristic
88	C₆₁×#491	C₂²	1	1	yes	characteristic
89	C₆₁×#489	C₂²	1	1	yes	characteristic
90	C₆₁×#488	C₂²	1	1	yes	characteristic
91	C₆₁×#487	C₂²	1	1	yes	characteristic
92	C₆₁×#485	C₂²	1	1	yes	characteristic
93	C₆₁×#485	C₂²	1	1	yes	characteristic
94	C₆₁×#485	C₂²	1	1	yes	characteristic
95	C₆₁×#485	C₂²	1	1	yes	characteristic
96	C₆₁×#485	C₂²	1	1	yes	characteristic
97	C₆₁×#484	C₂²	1	1	yes	characteristic
98	C₆₁×#484	C₂²	1	1	yes	characteristic
99	C₆₁×#484	C₂²	1	1	yes	characteristic
100	C₆₁×#483	C₂²	1	1	yes	characteristic
101	C₆₁×#483	C₂²	1	1	yes	characteristic
102	C₆₁×#482	C₂²	1	1	yes	characteristic
103	C₆₁×#480	C₂²	1	1	yes	characteristic
104	C₆₁×#479	C₂²	1	1	yes	characteristic
105	C₆₁×#479	C₂²	1	1	yes	characteristic
106	C₆₁×#479	C₂²	1	1	yes	characteristic
107	C₆₁×#479	C₂²	1	1	yes	characteristic
108	C₆₁×#479	C₂²	1	1	yes	characteristic
109	C₆₁×#479	C₂²	1	1	yes	characteristic
110	C₆₁×#479	C₂²	1	1	yes	characteristic
111	C₆₁×#478	C₂²	1	1	yes	characteristic
112	C₆₁×#477	C₂²	1	1	yes	characteristic
113	C₆₁×#477	C₂²	1	1	yes	characteristic
114	C₆₁×#477	C₂²	1	1	yes	characteristic
115	C₆₁×#475	C₂²	1	1	yes	characteristic
116	C₆₁×#470	C₂²	1	1	yes	characteristic
117	C₆₁×#470	C₂²	1	1	yes	characteristic
118	C₆₁×#470	C₂²	1	1	yes	characteristic
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
123	C₆₁×#467	C₂²	1	1	yes	characteristic
124	C₆₁×#467	C₂²	1	1	yes	characteristic
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×#464	C₂²	1	1	yes	characteristic
131	C₆₁×#464	C₂²	1	1	yes	characteristic
132	C₆₁×#462	C₂²	1	1	yes	characteristic
133	C₆₁×#462	C₂²	1	1	yes	characteristic
134	C₆₁×#462	C₂²	1	1	yes	characteristic
135	C₆₁×#462	C₂²	1	1	yes	characteristic
136	C₆₁×#462	C₂²	1	1	yes	characteristic
137	C₆₁×#462	C₂²	1	1	yes	characteristic
138	C₆₁×#462	C₂²	1	1	yes	characteristic
139	C₆₁×#461	C₂²	1	1	yes	characteristic
140	C₆₁×#452	C₂²	1	1	yes	characteristic
141	C₆₁×#452	C₂²	1	1	yes	characteristic
142	C₆₁×#451	C₂²	1	1	yes	characteristic
143	C₆₁×#451	C₂²	1	1	yes	characteristic
144	C₆₁×#451	C₂²	1	1	yes	characteristic
145	C₆₁×#451	C₂²	1	1	yes	characteristic
146	C₆₁×#451	C₂²	1	1	yes	characteristic
147	C₆₁×#451	C₂²	1	1	yes	characteristic
148	C₆₁×#451	C₂²	1	1	yes	characteristic
149	C₆₁×#451	C₂²	1	1	yes	characteristic
150	C₆₁×#448	C₂²	1	1	yes	characteristic
151	C₆₁×#448	C₂²	1	1	yes	characteristic
152	C₆₁×#446	C₂²	1	1	yes	characteristic
153	C₆₁×#446	C₂²	1	1	yes	characteristic
154	C₆₁×#441	C₂²	1	1	yes	characteristic
155	C₆₁×#441	C₂²	1	1	yes	characteristic
156	C₆₁×#441	C₂²	1	1	yes	characteristic
157	C₆₁×#441	C₂²	1	1	yes	characteristic
158	C₆₁×#441	C₂²	1	1	yes	characteristic
159	C₆₁×#441	C₂²	1	1	yes	characteristic
160	C₆₁×#441	C₂²	1	1	yes	characteristic
161	C₆₁×#441	C₂²	1	1	yes	characteristic
162	C₆₁×#441	C₂²	1	1	yes	characteristic
163	C₆₁×#441	C₂²	1	1	yes	characteristic
164	C₆₁×#441	C₂²	1	1	yes	characteristic
165	C₆₁×#441	C₂²	1	1	yes	characteristic
166	C₆₁×#441	C₂²	1	1	yes	characteristic
167	C₆₁×#440	C₂²	1	1	yes	characteristic
168	C₆₁×#440	C₂²	1	1	yes	characteristic
169	C₆₁×#440	C₂²	1	1	yes	characteristic
170	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
171	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
172	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
173	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
174	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
175	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
176	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
177	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
178	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
179	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
180	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
181	C₄×SD₁₆×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
186	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
188	C₆₁×#433	C₂²	1	1	yes	characteristic
189	C₆₁×#433	C₂²	1	1	yes	characteristic
190	C₆₁×#431	C₂²	1	1	yes	characteristic
191	C₆₁×#428	C₂²	1	1	yes	characteristic
192	C₆₁×#427	C₂²	1	1	yes	characteristic
193	C₂×#106×C₆₁	C₂²	1	1	yes	characteristic
194	C₆₁×#419	C₂²	1	1	yes	characteristic
195	C₆₁×#419	C₂²	1	1	yes	characteristic
196	C₆₁×#416	C₂²	1	1	yes	characteristic
197	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
198	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
199	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
200	C₆₁×#405	C₂²	1	1	yes	characteristic
201	C₆₁×#405	C₂²	1	1	yes	characteristic
202	C₂×#97×C₆₁	C₂²	1	1	yes	characteristic
203	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×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×Q₈×C₆₁	C₂³	1	1	yes	characteristic
209	#137×C₆₁	—	2	4	no	—
210	C₂×Q₁₆×C₆₁	—	2	4	no	—
211	C₂×Q₁₆×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×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
228	C₂×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	—	2	1	no	—
235	C₄⋊Q₈×C₆₁	—	2	1	no	—
236	C₄⋊Q₈×C₆₁	—	2	1	no	—
237	C₄⋊Q₈×C₆₁	—	2	1	no	—
238	C₄⋊Q₈×C₆₁	—	2	1	no	—
239	C₄⋊Q₈×C₆₁	—	2	1	no	—
240	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
241	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
242	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
243	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
244	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
245	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
257	#126×C₆₁	—	2	1	no	—
258	#126×C₆₁	—	2	1	no	—
259	#126×C₆₁	—	2	1	no	—
260	#126×C₆₁	—	2	1	no	—
261	#126×C₆₁	—	2	1	no	—
262	#126×C₆₁	D₄	1	1	yes	characteristic
263	#126×C₆₁	D₄	1	1	yes	characteristic
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	—	2	1	no	—
273	#125×C₆₁	—	2	1	no	—
274	#125×C₆₁	—	2	1	no	—
275	#125×C₆₁	—	2	1	no	—
276	#125×C₆₁	—	2	1	no	—
277	#125×C₆₁	—	2	1	no	—
278	#125×C₆₁	—	2	1	no	—
279	#125×C₆₁	—	2	1	no	—
280	#125×C₆₁	—	2	1	no	—
281	#125×C₆₁	—	2	1	no	—
282	#125×C₆₁	D₄	1	1	yes	characteristic
283	#125×C₆₁	C₂³	1	1	yes	characteristic
284	#125×C₆₁	C₂³	1	1	yes	characteristic
285	#125×C₆₁	C₂³	1	1	yes	characteristic
286	#125×C₆₁	C₂³	1	1	yes	characteristic
287	#124×C₆₁	—	2	1	no	—
288	#124×C₆₁	—	2	1	no	—
289	#124×C₆₁	—	2	1	no	—
290	#124×C₆₁	—	2	1	no	—
291	#124×C₆₁	D₄	1	1	yes	characteristic
292	#124×C₆₁	C₂³	1	1	yes	characteristic
293	#124×C₆₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
299	#123×C₆₁	—	2	1	no	—
300	#123×C₆₁	D₄	1	1	yes	characteristic
301	#123×C₆₁	D₄	1	1	yes	characteristic
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	—	2	1	no	—
312	C₂²⋊Q₈×C₆₁	—	2	1	no	—
313	C₂²⋊Q₈×C₆₁	—	2	1	no	—
314	C₂²⋊Q₈×C₆₁	—	2	1	no	—
315	C₂²⋊Q₈×C₆₁	—	2	1	no	—
316	C₂²⋊Q₈×C₆₁	—	2	1	no	—
317	C₂²⋊Q₈×C₆₁	D₄	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	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
324	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
325	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
326	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
327	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
328	#121×C₆₁	—	2	1	no	—
329	#121×C₆₁	—	2	1	no	—
330	#121×C₆₁	—	2	1	no	—
331	#121×C₆₁	D₄	1	1	yes	characteristic
332	#121×C₆₁	C₂³	1	1	yes	characteristic
333	#121×C₆₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
338	C₄×Q₈×C₆₁	—	2	1	no	—
339	C₄×Q₈×C₆₁	—	2	1	no	—
340	C₄×Q₈×C₆₁	—	2	1	no	—
341	C₄×Q₈×C₆₁	—	2	1	no	—
342	C₄×Q₈×C₆₁	—	2	1	no	—
343	C₄×Q₈×C₆₁	—	2	1	no	—
344	C₄×Q₈×C₆₁	—	2	1	no	—
345	C₄×Q₈×C₆₁	—	2	1	no	—
346	C₄×Q₈×C₆₁	—	2	1	no	—
347	C₄×Q₈×C₆₁	—	2	1	no	—
348	C₄×Q₈×C₆₁	—	2	1	no	—
349	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
357	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
358	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
359	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
360	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
361	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
363	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
364	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
365	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₆₁	—	2	1	no	—
369	C₄×D₄×C₆₁	—	2	1	no	—
370	C₄×D₄×C₆₁	—	2	1	no	—
371	C₄×D₄×C₆₁	—	2	1	no	—
372	C₄×D₄×C₆₁	—	2	1	no	—
373	C₄×D₄×C₆₁	—	2	1	no	—
374	C₄×D₄×C₆₁	—	2	1	no	—
375	C₄×D₄×C₆₁	—	2	1	no	—
376	C₄×D₄×C₆₁	—	2	1	no	—
377	C₄×D₄×C₆₁	—	2	1	no	—
378	C₄×D₄×C₆₁	—	2	1	no	—
379	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
384	#117×C₆₁	—	2	1	no	—
385	#117×C₆₁	—	2	1	no	—
386	#117×C₆₁	—	2	1	no	—
387	#117×C₆₁	—	2	1	no	—
388	#117×C₆₁	—	2	1	no	—
389	#117×C₆₁	—	2	1	no	—
390	#117×C₆₁	—	2	1	no	—
391	#117×C₆₁	—	2	1	no	—
392	#117×C₆₁	—	2	1	no	—
393	#117×C₆₁	—	2	1	no	—
394	#117×C₆₁	—	2	1	no	—
395	#117×C₆₁	—	2	1	no	—
396	#117×C₆₁	—	2	1	no	—
397	#117×C₆₁	C₂³	1	1	yes	characteristic
398	#117×C₆₁	C₂³	1	1	yes	characteristic
399	#117×C₆₁	C₂³	1	1	yes	characteristic
400	#117×C₆₁	C₂³	1	1	yes	characteristic
401	#117×C₆₁	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
403	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
404	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
405	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
406	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
407	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
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	#103×C₆₁	C₂³	1	1	yes	characteristic
454	#103×C₆₁	C₂³	1	1	yes	characteristic
455	#103×C₆₁	C₂³	1	1	yes	characteristic
456	#103×C₆₁	C₂³	1	1	yes	characteristic
457	#103×C₆₁	C₂³	1	1	yes	characteristic
458	#103×C₆₁	C₂³	1	1	yes	characteristic
459	#103×C₆₁	C₂³	1	1	yes	characteristic
460	#103×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	#41×C₆₁	—	2	2	no	—
482	#41×C₆₁	—	4	1	no	—
483	C₂×Q₈×C₆₁	—	2	1	no	—
484	C₂×Q₈×C₆₁	—	2	1	no	—
485	C₂×Q₈×C₆₁	—	2	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	2	no	—
491	C₂×Q₈×C₆₁	—	2	2	no	—
492	C₂×Q₈×C₆₁	—	2	2	no	—
493	C₂×Q₈×C₆₁	—	2	2	no	—
494	C₂×Q₈×C₆₁	—	2	2	no	—
495	C₂×Q₈×C₆₁	—	4	1	no	—
496	C₂×Q₈×C₆₁	—	4	1	no	—
497	C₂×Q₈×C₆₁	—	4	1	no	—
498	C₂×Q₈×C₆₁	—	4	1	no	—
499	C₂×Q₈×C₆₁	—	4	1	no	—
500	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
501	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₆₁	—	2	1	no	—
509	C₂×D₄×C₆₁	—	2	1	no	—
510	C₂×D₄×C₆₁	—	2	1	no	—
511	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
531	Q₁₆×C₆₁	—	2	2	no	—
532	Q₁₆×C₆₁	—	2	2	no	—
533	Q₁₆×C₆₁	—	2	2	no	—
534	Q₁₆×C₆₁	—	2	2	no	—
535	Q₁₆×C₆₁	—	2	2	no	—
536	Q₁₆×C₆₁	—	2	2	no	—
537	Q₁₆×C₆₁	—	2	2	no	—
538	Q₁₆×C₆₁	—	4	1	no	—
539	Q₁₆×C₆₁	—	4	1	no	—
540	Q₁₆×C₆₁	—	4	1	no	—
541	Q₁₆×C₆₁	—	4	1	no	—
542	Q₁₆×C₆₁	#41	1	4	yes	—
543	SD₁₆×C₆₁	—	2	2	no	—
544	SD₁₆×C₆₁	—	2	2	no	—
545	SD₁₆×C₆₁	—	4	1	no	—
546	SD₁₆×C₆₁	—	4	1	no	—
547	M₁₆×C₆₁	—	2	2	no	—
548	M₁₆×C₆₁	—	4	1	no	—
549	C₂×C₈×C₆₁	—	2	2	no	—
550	C₂×C₈×C₆₁	—	2	2	no	—
551	C₂×C₈×C₆₁	—	4	1	no	—
552	C₂×C₈×C₆₁	—	4	1	no	—
553	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₆₁	—	2	1	no	—
562	C₄⋊C₄×C₆₁	—	2	1	no	—
563	C₄⋊C₄×C₆₁	—	2	1	no	—
564	C₄⋊C₄×C₆₁	—	2	1	no	—
565	C₄⋊C₄×C₆₁	—	2	1	no	—
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	—	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	C₂×D₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₆₁	—	2	1	no	—
660	C₄²×C₆₁	—	2	1	no	—
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	—	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	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	Q₈×C₆₁	—	2	1	no	—
691	Q₈×C₆₁	—	2	1	no	—
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	—	2	1	no	—
701	Q₈×C₆₁	—	2	1	no	—
702	Q₈×C₆₁	—	4	1	no	—
703	Q₈×C₆₁	—	4	2	no	—
704	Q₈×C₆₁	—	4	2	no	—
705	Q₈×C₆₁	—	4	2	no	—
706	Q₈×C₆₁	—	4	2	no	—
707	Q₈×C₆₁	—	4	2	no	—
708	Q₈×C₆₁	—	4	2	no	—
709	Q₈×C₆₁	—	8	1	no	—
710	Q₈×C₆₁	C₂×#41	1	2	yes	—
711	Q₈×C₆₁	C₂×#41	1	2	yes	—
712	D₄×C₆₁	—	2	2	no	—
713	D₄×C₆₁	—	2	2	no	—
714	D₄×C₆₁	—	2	1	no	—
715	D₄×C₆₁	—	2	1	no	—
716	D₄×C₆₁	—	4	1	no	—
717	D₄×C₆₁	—	4	2	no	—
718	D₄×C₆₁	—	4	2	no	—
719	D₄×C₆₁	—	8	1	no	—
720	C₂×C₄×C₆₁	—	2	2	no	—
721	C₂×C₄×C₆₁	—	2	1	no	—
722	C₂×C₄×C₆₁	—	2	1	no	—
723	C₂×C₄×C₆₁	—	2	1	no	—
724	C₂×C₄×C₆₁	—	2	1	no	—
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	—	4	1	no	—
743	C₂×C₄×C₆₁	—	4	2	no	—
744	C₂×C₄×C₆₁	—	4	2	no	—
745	C₂×C₄×C₆₁	—	4	2	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	—	8	1	no	—
751	C₂×C₄×C₆₁	—	8	1	no	—
752	C₂×C₄×C₆₁	—	8	1	no	—
753	C₂×C₄×C₆₁	—	8	1	no	—
754	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
765	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
766	C₈×C₆₁	—	2	1	no	—
767	C₈×C₆₁	—	2	1	no	—
768	C₈×C₆₁	—	2	1	no	—
769	C₈×C₆₁	—	2	1	no	—
770	C₈×C₆₁	—	2	1	no	—
771	C₈×C₆₁	—	2	1	no	—
772	C₈×C₆₁	—	2	1	no	—
773	C₈×C₆₁	C₂×#41	1	2	yes	—
774	#61525	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
775	C₂²×C₆₁	—	2	1	no	—
776	C₂²×C₆₁	—	2	1	no	—
777	C₂²×C₆₁	—	2	1	no	—
778	C₂²×C₆₁	—	2	1	no	—
779	C₂²×C₆₁	—	2	1	no	—
780	C₂²×C₆₁	—	2	1	no	—
781	C₂²×C₆₁	—	2	1	no	—
782	C₂²×C₆₁	—	2	1	no	—
783	C₂²×C₆₁	—	4	1	no	—
784	C₂²×C₆₁	—	4	1	no	—
785	C₂²×C₆₁	—	4	1	no	—
786	C₂²×C₆₁	#578	1	2	yes	—
787	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
788	C₄×C₆₁	—	2	1	no	—
789	C₄×C₆₁	—	2	1	no	—
790	C₄×C₆₁	—	2	1	no	—
791	C₄×C₆₁	—	2	1	no	—
792	C₄×C₆₁	—	2	1	no	—
793	C₄×C₆₁	—	2	1	no	—
794	C₄×C₆₁	—	2	1	no	—
795	C₄×C₆₁	—	2	2	no	—
796	C₄×C₆₁	—	2	2	no	—
797	C₄×C₆₁	—	2	1	no	—
798	C₄×C₆₁	—	2	1	no	—
799	C₄×C₆₁	—	2	1	no	—
800	C₄×C₆₁	—	2	1	no	—
801	C₄×C₆₁	—	4	1	no	—
802	C₄×C₆₁	—	4	1	no	—
803	C₄×C₆₁	—	4	1	no	—
804	C₄×C₆₁	—	4	1	no	—
805	C₄×C₆₁	—	4	1	no	—
806	C₄×C₆₁	—	4	1	no	—
807	C₄×C₆₁	—	4	1	no	—
808	C₄×C₆₁	—	4	1	no	—
809	C₄×C₆₁	—	4	1	no	—
810	C₄×C₆₁	—	4	1	no	—
811	C₄×C₆₁	—	4	1	no	—
812	C₄×C₆₁	—	4	1	no	—
813	C₄×C₆₁	—	4	1	no	—
814	C₄×C₆₁	C₂²×#41	1	1	yes	characteristic
815	C₄×C₆₁	#585	1	1	yes	characteristic
816	#3523	C₂×C₆₁	1	1	yes	characteristic, complemented
817	#3516	C₂×C₆₁	1	1	yes	characteristic
818	#3398	C₂×C₆₁	1	1	yes	characteristic, complemented
819	#3390	C₂×C₆₁	1	1	yes	characteristic, complemented
820	#3377	C₂×C₆₁	1	1	yes	characteristic, complemented
821	#3374	C₂×C₆₁	1	1	yes	characteristic, complemented
822	#3349	C₂×C₆₁	1	1	yes	characteristic, complemented
823	#3344	C₂×C₆₁	1	1	yes	characteristic, complemented
824	#3337	C₂×C₆₁	1	1	yes	characteristic, complemented
825	#3320	C₂×C₆₁	1	1	yes	characteristic, complemented
826	#3313	C₂×C₆₁	1	1	yes	characteristic, complemented
827	#3312	C₂×C₆₁	1	1	yes	characteristic, complemented
828	#3312	C₂×C₆₁	1	1	yes	characteristic, complemented
829	#3300	C₂×C₆₁	1	1	yes	characteristic, complemented
830	#3299	C₂×C₆₁	1	1	yes	characteristic, complemented
831	D₄×Q₁₆	C₂×C₆₁	1	1	yes	characteristic, complemented
832	#3270	C₂×C₆₁	1	1	yes	characteristic, complemented
833	#3270	C₂×C₆₁	1	1	yes	characteristic, complemented
834	#3181	C₂×C₆₁	1	1	yes	characteristic, complemented
835	#3178	C₂×C₆₁	1	1	yes	characteristic, complemented
836	#3177	C₂×C₆₁	1	1	yes	characteristic, complemented
837	#3127	C₂×C₆₁	1	1	yes	characteristic, complemented
838	#3127	C₂×C₆₁	1	1	yes	characteristic, complemented
839	#3121	C₂×C₆₁	1	1	yes	characteristic, complemented
840	#3120	C₂×C₆₁	1	1	yes	characteristic, complemented
841	#3108	C₂×C₆₁	1	1	yes	characteristic, complemented
842	#3104	C₂×C₆₁	1	1	yes	characteristic, complemented
843	#2968	C₂×C₆₁	1	1	yes	characteristic, complemented
844	#2950	C₂×C₆₁	1	1	yes	characteristic, complemented
845	#2947	C₂×C₆₁	1	1	yes	characteristic, complemented
846	C₂×#441	C₂×C₆₁	1	1	yes	characteristic, complemented
847	C₂×C₆₁	—	2	2	no	—
848	C₂×C₆₁	—	4	1	no	—
849	C₂×C₆₁	—	4	1	no	—
850	C₂×C₆₁	—	8	1	no	—
851	C₂×C₆₁	D₄×#41	1	1	yes	characteristic
852	C₂×C₆₁	C₂×#578	1	1	yes	characteristic
853	C₂×C₆₁	#3586	1	1	yes	characteristic
854	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic
855	C₂²×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
856	C₂²×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
857	#557	—	2	1	no	—
858	#557	C₂²×C₆₁	1	1	yes	characteristic
859	#557	C₂²×C₆₁	1	1	yes	characteristic
860	#557	C₂²×C₆₁	1	1	yes	characteristic
861	#556	—	2	1	no	—
862	#556	—	2	1	no	—
863	#556	C₂²×C₆₁	1	1	yes	characteristic
864	#556	C₂²×C₆₁	1	1	yes	characteristic
865	#554	—	2	1	no	—
866	#554	C₂²×C₆₁	1	1	yes	characteristic
867	#553	—	2	1	no	—
868	#553	C₂²×C₆₁	1	1	yes	characteristic
869	#552	—	2	1	no	—
870	#552	—	2	1	no	—
871	#552	—	2	1	no	—
872	#552	C₂²×C₆₁	1	1	yes	characteristic
873	#552	C₂²×C₆₁	1	1	yes	characteristic
874	#552	C₂²×C₆₁	1	1	yes	characteristic
875	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
876	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
877	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
878	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
879	#548	C₂²×C₆₁	1	1	yes	characteristic
880	#548	C₂²×C₆₁	1	1	yes	characteristic
881	#542	—	2	1	no	—
882	#542	C₂²×C₆₁	1	1	yes	characteristic
883	#541	—	2	1	no	—
884	#541	—	2	1	no	—
885	#541	—	2	1	no	—
886	#541	C₂²×C₆₁	1	1	yes	characteristic
887	#541	C₂²×C₆₁	1	1	yes	characteristic
888	#541	C₂²×C₆₁	1	1	yes	characteristic
889	#533	—	2	1	no	—
890	#533	C₂²×C₆₁	1	1	yes	characteristic
891	#529	—	2	1	no	—
892	#529	—	2	1	no	—
893	#529	—	2	1	no	—
894	#529	C₂²×C₆₁	1	1	yes	characteristic
895	#529	C₂²×C₆₁	1	1	yes	characteristic
896	#520	C₂²×C₆₁	1	1	yes	characteristic
897	#519	C₂²×C₆₁	1	1	yes	characteristic
898	#519	C₂²×C₆₁	1	1	yes	characteristic
899	#519	C₂²×C₆₁	1	1	yes	characteristic
900	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
901	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
902	#501	C₂²×C₆₁	1	1	yes	characteristic
903	#501	C₂²×C₆₁	1	1	yes	characteristic
904	#499	C₂²×C₆₁	1	1	yes	characteristic
905	#497	C₂²×C₆₁	1	1	yes	characteristic
906	#497	C₂²×C₆₁	1	1	yes	characteristic
907	#494	C₂²×C₆₁	1	1	yes	characteristic
908	#491	C₂²×C₆₁	1	1	yes	characteristic
909	#491	C₂²×C₆₁	1	1	yes	characteristic
910	#491	C₂²×C₆₁	1	1	yes	characteristic
911	#489	C₂²×C₆₁	1	1	yes	characteristic
912	#488	C₂²×C₆₁	1	1	yes	characteristic
913	#487	C₂²×C₆₁	1	1	yes	characteristic
914	#485	C₂²×C₆₁	1	1	yes	characteristic
915	#485	C₂²×C₆₁	1	1	yes	characteristic
916	#485	C₂²×C₆₁	1	1	yes	characteristic
917	#485	C₂²×C₆₁	1	1	yes	characteristic
918	#485	C₂²×C₆₁	1	1	yes	characteristic
919	#484	C₂²×C₆₁	1	1	yes	characteristic
920	#484	C₂²×C₆₁	1	1	yes	characteristic
921	#484	C₂²×C₆₁	1	1	yes	characteristic
922	#483	C₂²×C₆₁	1	1	yes	characteristic
923	#483	C₂²×C₆₁	1	1	yes	characteristic
924	#482	C₂²×C₆₁	1	1	yes	characteristic
925	#480	C₂²×C₆₁	1	1	yes	characteristic
926	#479	C₂²×C₆₁	1	1	yes	characteristic
927	#479	C₂²×C₆₁	1	1	yes	characteristic
928	#479	C₂²×C₆₁	1	1	yes	characteristic
929	#479	C₂²×C₆₁	1	1	yes	characteristic
930	#479	C₂²×C₆₁	1	1	yes	characteristic
931	#479	C₂²×C₆₁	1	1	yes	characteristic
932	#479	C₂²×C₆₁	1	1	yes	characteristic
933	#478	C₂²×C₆₁	1	1	yes	characteristic
934	#477	C₂²×C₆₁	1	1	yes	characteristic
935	#477	C₂²×C₆₁	1	1	yes	characteristic
936	#477	C₂²×C₆₁	1	1	yes	characteristic
937	#475	C₂²×C₆₁	1	1	yes	characteristic
938	#470	C₂²×C₆₁	1	1	yes	characteristic
939	#470	C₂²×C₆₁	1	1	yes	characteristic
940	#470	C₂²×C₆₁	1	1	yes	characteristic
941	#468	C₂²×C₆₁	1	1	yes	characteristic
942	#467	C₂²×C₆₁	1	1	yes	characteristic
943	#467	C₂²×C₆₁	1	1	yes	characteristic
944	#467	C₂²×C₆₁	1	1	yes	characteristic
945	#467	C₂²×C₆₁	1	1	yes	characteristic
946	#467	C₂²×C₆₁	1	1	yes	characteristic
947	#465	C₂²×C₆₁	1	1	yes	characteristic
948	#465	C₂²×C₆₁	1	1	yes	characteristic
949	#465	C₂²×C₆₁	1	1	yes	characteristic
950	#464	C₂²×C₆₁	1	1	yes	characteristic
951	#464	C₂²×C₆₁	1	1	yes	characteristic
952	#464	C₂²×C₆₁	1	1	yes	characteristic
953	#464	C₂²×C₆₁	1	1	yes	characteristic
954	#462	C₂²×C₆₁	1	1	yes	characteristic
955	#462	C₂²×C₆₁	1	1	yes	characteristic
956	#462	C₂²×C₆₁	1	1	yes	characteristic
957	#462	C₂²×C₆₁	1	1	yes	characteristic
958	#462	C₂²×C₆₁	1	1	yes	characteristic
959	#462	C₂²×C₆₁	1	1	yes	characteristic
960	#462	C₂²×C₆₁	1	1	yes	characteristic
961	#461	C₂²×C₆₁	1	1	yes	characteristic
962	#452	C₂²×C₆₁	1	1	yes	characteristic
963	#452	C₂²×C₆₁	1	1	yes	characteristic
964	#451	C₂²×C₆₁	1	1	yes	characteristic
965	#451	C₂²×C₆₁	1	1	yes	characteristic
966	#451	C₂²×C₆₁	1	1	yes	characteristic
967	#451	C₂²×C₆₁	1	1	yes	characteristic
968	#451	C₂²×C₆₁	1	1	yes	characteristic
969	#451	C₂²×C₆₁	1	1	yes	characteristic
970	#451	C₂²×C₆₁	1	1	yes	characteristic
971	#451	C₂²×C₆₁	1	1	yes	characteristic
972	#448	C₂²×C₆₁	1	1	yes	characteristic
973	#448	C₂²×C₆₁	1	1	yes	characteristic
974	#446	C₂²×C₆₁	1	1	yes	characteristic
975	#446	C₂²×C₆₁	1	1	yes	characteristic
976	#441	C₂²×C₆₁	1	1	yes	characteristic
977	#441	C₂²×C₆₁	1	1	yes	characteristic
978	#441	C₂²×C₆₁	1	1	yes	characteristic
979	#441	C₂²×C₆₁	1	1	yes	characteristic
980	#441	C₂²×C₆₁	1	1	yes	characteristic
981	#441	C₂²×C₆₁	1	1	yes	characteristic
982	#441	C₂²×C₆₁	1	1	yes	characteristic
983	#441	C₂²×C₆₁	1	1	yes	characteristic
984	#441	C₂²×C₆₁	1	1	yes	characteristic
985	#441	C₂²×C₆₁	1	1	yes	characteristic
986	#441	C₂²×C₆₁	1	1	yes	characteristic
987	#441	C₂²×C₆₁	1	1	yes	characteristic
988	#441	C₂²×C₆₁	1	1	yes	characteristic
989	#440	C₂²×C₆₁	1	1	yes	characteristic
990	#440	C₂²×C₆₁	1	1	yes	characteristic
991	#440	C₂²×C₆₁	1	1	yes	characteristic
992	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
993	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
994	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
995	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
996	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
997	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
998	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
999	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
1000	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
1001	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1002	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1003	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1004	#435	C₂²×C₆₁	1	1	yes	characteristic
1005	#435	C₂²×C₆₁	1	1	yes	characteristic
1006	#435	C₂²×C₆₁	1	1	yes	characteristic
1007	#435	C₂²×C₆₁	1	1	yes	characteristic
1008	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1009	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1010	#433	C₂²×C₆₁	1	1	yes	characteristic
1011	#433	C₂²×C₆₁	1	1	yes	characteristic
1012	#431	C₂²×C₆₁	1	1	yes	characteristic
1013	#428	C₂²×C₆₁	1	1	yes	characteristic
1014	#427	C₂²×C₆₁	1	1	yes	characteristic
1015	C₂×#106	C₂²×C₆₁	1	1	yes	characteristic
1016	#419	C₂²×C₆₁	1	1	yes	characteristic
1017	#419	C₂²×C₆₁	1	1	yes	characteristic
1018	#416	C₂²×C₆₁	1	1	yes	characteristic
1019	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1020	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1021	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1022	#405	C₂²×C₆₁	1	1	yes	characteristic
1023	#405	C₂²×C₆₁	1	1	yes	characteristic
1024	C₂×#97	C₂²×C₆₁	1	1	yes	characteristic
1025	C₆₁	#61525	1	1	yes	characteristic, direct product factor, Sylow
1026	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1027	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1028	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1029	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1030	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1031	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1032	#137	—	2	4	no	—
1033	C₂×Q₁₆	—	2	4	no	—
1034	C₂×Q₁₆	—	2	4	no	—
1035	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1037	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1038	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1039	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1040	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1041	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1042	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1043	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1044	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1045	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1046	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1047	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1048	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1049	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1050	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1051	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1052	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1053	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1054	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1055	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1056	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1057	C₄⋊Q₈	—	2	1	no	—
1058	C₄⋊Q₈	—	2	1	no	—
1059	C₄⋊Q₈	—	2	1	no	—
1060	C₄⋊Q₈	—	2	1	no	—
1061	C₄⋊Q₈	—	2	1	no	—
1062	C₄⋊Q₈	—	2	1	no	—
1063	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1064	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1065	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1066	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1067	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1068	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	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	D₄×C₆₁	1	1	yes	characteristic
1086	#126	D₄×C₆₁	1	1	yes	characteristic
1087	#125	—	2	1	no	—
1088	#125	—	2	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	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	—	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	D₄×C₆₁	1	1	yes	characteristic
1106	#125	C₂³×C₆₁	1	1	yes	characteristic
1107	#125	C₂³×C₆₁	1	1	yes	characteristic
1108	#125	C₂³×C₆₁	1	1	yes	characteristic
1109	#125	C₂³×C₆₁	1	1	yes	characteristic
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	—	2	1	no	—
1114	#124	D₄×C₆₁	1	1	yes	characteristic
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	D₄×C₆₁	1	1	yes	characteristic
1124	#123	D₄×C₆₁	1	1	yes	characteristic
1125	C₂²⋊Q₈	—	2	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
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	D₄×C₆₁	1	1	yes	characteristic
1141	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1142	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1143	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1144	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×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	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	D₄×C₆₁	1	1	yes	characteristic
1155	#121	C₂³×C₆₁	1	1	yes	characteristic
1156	#121	C₂³×C₆₁	1	1	yes	characteristic
1157	C₄×Q₈	—	2	1	no	—
1158	C₄×Q₈	—	2	1	no	—
1159	C₄×Q₈	—	2	1	no	—
1160	C₄×Q₈	—	2	1	no	—
1161	C₄×Q₈	—	2	1	no	—
1162	C₄×Q₈	—	2	1	no	—
1163	C₄×Q₈	—	2	1	no	—
1164	C₄×Q₈	—	2	1	no	—
1165	C₄×Q₈	—	2	1	no	—
1166	C₄×Q₈	—	2	1	no	—
1167	C₄×Q₈	—	2	1	no	—
1168	C₄×Q₈	—	2	1	no	—
1169	C₄×Q₈	—	2	1	no	—
1170	C₄×Q₈	—	2	1	no	—
1171	C₄×Q₈	—	2	1	no	—
1172	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1173	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1175	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
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×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
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	C₂³×C₆₁	1	1	yes	characteristic
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	#117	—	2	1	no	—
1208	#117	—	2	1	no	—
1209	#117	—	2	1	no	—
1210	#117	—	2	1	no	—
1211	#117	—	2	1	no	—
1212	#117	—	2	1	no	—
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	C₂³×C₆₁	1	1	yes	characteristic
1221	#117	C₂³×C₆₁	1	1	yes	characteristic
1222	#117	C₂³×C₆₁	1	1	yes	characteristic
1223	#117	C₂³×C₆₁	1	1	yes	characteristic
1224	#117	C₂³×C₆₁	1	1	yes	characteristic
1225	C₂×C₄⋊C₄	—	2	1	no	—
1226	C₂×C₄⋊C₄	—	2	1	no	—
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1229	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1230	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1231	C₂×C₄²	—	2	1	no	—
1232	C₂×C₄²	—	2	1	no	—
1233	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1234	#107	C₂³×C₆₁	1	1	yes	characteristic
1235	#107	C₂³×C₆₁	1	1	yes	characteristic
1236	#107	C₂³×C₆₁	1	1	yes	characteristic
1237	#107	C₂³×C₆₁	1	1	yes	characteristic
1238	#107	C₂³×C₆₁	1	1	yes	characteristic
1239	#107	C₂³×C₆₁	1	1	yes	characteristic
1240	#107	C₂³×C₆₁	1	1	yes	characteristic
1241	#107	C₂³×C₆₁	1	1	yes	characteristic
1242	#106	C₂³×C₆₁	1	1	yes	characteristic
1243	#106	C₂³×C₆₁	1	1	yes	characteristic
1244	#106	C₂³×C₆₁	1	1	yes	characteristic
1245	#106	C₂³×C₆₁	1	1	yes	characteristic
1246	#106	C₂³×C₆₁	1	1	yes	characteristic
1247	#106	C₂³×C₆₁	1	1	yes	characteristic
1248	#106	C₂³×C₆₁	1	1	yes	characteristic
1249	#106	C₂³×C₆₁	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1256	#103	C₂³×C₆₁	1	1	yes	characteristic
1257	#103	C₂³×C₆₁	1	1	yes	characteristic
1258	#103	C₂³×C₆₁	1	1	yes	characteristic
1259	#103	C₂³×C₆₁	1	1	yes	characteristic
1260	#103	C₂³×C₆₁	1	1	yes	characteristic
1261	#103	C₂³×C₆₁	1	1	yes	characteristic
1262	#103	C₂³×C₆₁	1	1	yes	characteristic
1263	#103	C₂³×C₆₁	1	1	yes	characteristic
1264	#103	C₂³×C₆₁	1	1	yes	characteristic
1265	#103	C₂³×C₆₁	1	1	yes	characteristic
1266	#103	C₂³×C₆₁	1	1	yes	characteristic
1267	#103	C₂³×C₆₁	1	1	yes	characteristic
1268	#103	C₂³×C₆₁	1	1	yes	characteristic
1269	#103	C₂³×C₆₁	1	1	yes	characteristic
1270	#103	C₂³×C₆₁	1	1	yes	characteristic
1271	#103	C₂³×C₆₁	1	1	yes	characteristic
1272	#103	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	#102	C₂³×C₆₁	1	1	yes	characteristic
1285	#102	C₂³×C₆₁	1	1	yes	characteristic
1286	#102	C₂³×C₆₁	1	1	yes	characteristic
1287	#102	C₂³×C₆₁	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1294	#97	C₂³×C₆₁	1	1	yes	characteristic
1295	#97	C₂³×C₆₁	1	1	yes	characteristic
1296	#97	C₂³×C₆₁	1	1	yes	characteristic
1297	#97	C₂³×C₆₁	1	1	yes	characteristic
1298	#97	C₂³×C₆₁	1	1	yes	characteristic
1299	#97	C₂³×C₆₁	1	1	yes	characteristic
1300	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1301	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1302	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1303	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1304	#41	—	2	2	no	—
1305	#41	—	4	1	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	2	1	no	—
1309	C₂×Q₈	—	2	1	no	—
1310	C₂×Q₈	—	2	1	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	—	2	1	no	—
1313	C₂×Q₈	—	2	2	no	—
1314	C₂×Q₈	—	2	2	no	—
1315	C₂×Q₈	—	2	2	no	—
1316	C₂×Q₈	—	2	2	no	—
1317	C₂×Q₈	—	2	2	no	—
1318	C₂×Q₈	—	4	1	no	—
1319	C₂×Q₈	—	4	1	no	—
1320	C₂×Q₈	—	4	1	no	—
1321	C₂×Q₈	—	4	1	no	—
1322	C₂×Q₈	—	4	1	no	—
1323	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1324	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1325	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1326	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1327	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1328	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1329	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1330	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1331	C₂×D₄	—	2	1	no	—
1332	C₂×D₄	—	2	1	no	—
1333	C₂×D₄	—	2	1	no	—
1334	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1335	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1336	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1337	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1350	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1351	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1352	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1353	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1354	Q₁₆	—	2	2	no	—
1355	Q₁₆	—	2	2	no	—
1356	Q₁₆	—	2	2	no	—
1357	Q₁₆	—	2	2	no	—
1358	Q₁₆	—	2	2	no	—
1359	Q₁₆	—	2	2	no	—
1360	Q₁₆	—	2	2	no	—
1361	Q₁₆	—	4	1	no	—
1362	Q₁₆	—	4	1	no	—
1363	Q₁₆	—	4	1	no	—
1364	Q₁₆	—	4	1	no	—
1365	Q₁₆	#41×C₆₁	1	4	yes	—
1366	SD₁₆	—	2	2	no	—
1367	SD₁₆	—	2	2	no	—
1368	SD₁₆	—	4	1	no	—
1369	SD₁₆	—	4	1	no	—
1370	M₁₆	—	2	2	no	—
1371	M₁₆	—	4	1	no	—
1372	C₂×C₈	—	2	2	no	—
1373	C₂×C₈	—	2	2	no	—
1374	C₂×C₈	—	4	1	no	—
1375	C₂×C₈	—	4	1	no	—
1376	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1377	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1379	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1380	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1381	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1382	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1383	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1434	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1436	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1437	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1438	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1439	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1440	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1441	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1442	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1443	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1444	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1445	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1446	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1447	C₄⋊C₄	C₂⁴×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	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1479	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1480	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1481	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	2	1	no	—
1495	C₄²	—	2	1	no	—
1496	C₄²	—	2	1	no	—
1497	C₄²	—	2	1	no	—
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1504	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1505	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1506	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1507	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1508	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1509	C₂³	—	2	1	no	—
1510	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1511	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1512	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1513	Q₈	—	2	1	no	—
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	2	1	no	—
1520	Q₈	—	2	1	no	—
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	4	1	no	—
1526	Q₈	—	4	2	no	—
1527	Q₈	—	4	2	no	—
1528	Q₈	—	4	2	no	—
1529	Q₈	—	4	2	no	—
1530	Q₈	—	4	2	no	—
1531	Q₈	—	4	2	no	—
1532	Q₈	—	8	1	no	—
1533	Q₈	C₂×#41×C₆₁	1	2	yes	—
1534	Q₈	C₂×#41×C₆₁	1	2	yes	—
1535	D₄	—	2	2	no	—
1536	D₄	—	2	2	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	4	1	no	—
1540	D₄	—	4	2	no	—
1541	D₄	—	4	2	no	—
1542	D₄	—	8	1	no	—
1543	C₂×C₄	—	2	2	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	4	1	no	—
1566	C₂×C₄	—	4	2	no	—
1567	C₂×C₄	—	4	2	no	—
1568	C₂×C₄	—	4	2	no	—
1569	C₂×C₄	—	4	2	no	—
1570	C₂×C₄	—	4	2	no	—
1571	C₂×C₄	—	4	2	no	—
1572	C₂×C₄	—	4	2	no	—
1573	C₂×C₄	—	8	1	no	—
1574	C₂×C₄	—	8	1	no	—
1575	C₂×C₄	—	8	1	no	—
1576	C₂×C₄	—	8	1	no	—
1577	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1578	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1579	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1580	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1581	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1582	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1583	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1584	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1585	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1586	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1587	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1588	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₈	—	2	1	no	—
1594	C₈	—	2	1	no	—
1595	C₈	—	2	1	no	—
1596	C₈	C₂×#41×C₆₁	1	2	yes	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	2	1	no	—
1602	C₂²	—	2	1	no	—
1603	C₂²	—	2	1	no	—
1604	C₂²	—	2	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	C₆₁×#578	1	2	yes	—
1609	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1610	C₄	—	2	1	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	2	2	no	—
1622	C₄	—	2	2	no	—
1623	C₄	—	4	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	C₂²×#41×C₆₁	1	1	yes	characteristic
1637	C₄	C₆₁×#585	1	1	yes	characteristic
1638	C₂	—	2	2	no	—
1639	C₂	—	4	1	no	—
1640	C₂	—	4	1	no	—
1641	C₂	—	8	1	no	—
1642	C₂	D₄×#41×C₆₁	1	1	yes	characteristic
1643	C₂	C₂×C₆₁×#578	1	1	yes	characteristic
1644	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×#3516	C₂
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×#3523	C₂	semidirect
3. C₆₁×#3398	C₂	semidirect
4. C₆₁×#3390	C₂	semidirect
5. C₆₁×#3377	C₂	semidirect
6. C₆₁×#3374	C₂	semidirect
7. C₆₁×#3349	C₂	semidirect
8. C₆₁×#3344	C₂	semidirect
9. C₆₁×#3337	C₂	semidirect
10. C₆₁×#3320	C₂	semidirect
11. C₆₁×#3313	C₂	semidirect
12. C₆₁×#3312	C₂	semidirect
13. C₆₁×#3312	C₂	semidirect
14. C₆₁×#3300	C₂	semidirect
15. C₆₁×#3299	C₂	semidirect
16. D₄×Q₁₆×C₆₁	C₂	semidirect
17. C₆₁×#3270	C₂	semidirect
18. C₆₁×#3270	C₂	semidirect
19. C₆₁×#3181	C₂	semidirect
20. C₆₁×#3178	C₂	semidirect
21. C₆₁×#3177	C₂	semidirect
22. C₆₁×#3127	C₂	semidirect
23. C₆₁×#3127	C₂	semidirect
24. C₆₁×#3121	C₂	semidirect
25. C₆₁×#3120	C₂	semidirect
26. C₆₁×#3108	C₂	semidirect
27. C₆₁×#3104	C₂	semidirect
28. C₆₁×#2968	C₂	semidirect
29. C₆₁×#2950	C₂	semidirect
30. C₆₁×#2947	C₂	semidirect
31. C₂×C₆₁×#441	C₂	semidirect
774. #61525	C₆₁	direct (N × H)
816. #3523	C₂×C₆₁	semidirect
818. #3398	C₂×C₆₁	semidirect
819. #3390	C₂×C₆₁	semidirect
820. #3377	C₂×C₆₁	semidirect
821. #3374	C₂×C₆₁	semidirect
822. #3349	C₂×C₆₁	semidirect
823. #3344	C₂×C₆₁	semidirect
824. #3337	C₂×C₆₁	semidirect
825. #3320	C₂×C₆₁	semidirect
826. #3313	C₂×C₆₁	semidirect
827. #3312	C₂×C₆₁	semidirect
828. #3312	C₂×C₆₁	semidirect
829. #3300	C₂×C₆₁	semidirect
830. #3299	C₂×C₆₁	semidirect
831. D₄×Q₁₆	C₂×C₆₁	semidirect
832. #3270	C₂×C₆₁	semidirect
833. #3270	C₂×C₆₁	semidirect
834. #3181	C₂×C₆₁	semidirect
835. #3178	C₂×C₆₁	semidirect
836. #3177	C₂×C₆₁	semidirect
837. #3127	C₂×C₆₁	semidirect
838. #3127	C₂×C₆₁	semidirect
839. #3121	C₂×C₆₁	semidirect
840. #3120	C₂×C₆₁	semidirect
841. #3108	C₂×C₆₁	semidirect
842. #3104	C₂×C₆₁	semidirect
843. #2968	C₂×C₆₁	semidirect
844. #2950	C₂×C₆₁	semidirect
845. #2947	C₂×C₆₁	semidirect
846. C₂×#441	C₂×C₆₁	semidirect
1025. C₆₁	#61525	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×#3523	2
C₆₁×#3516	2
C₆₁×#3398	2
C₆₁×#3390	2
C₆₁×#3377	2
C₆₁×#3374	2
C₆₁×#3349	2
C₆₁×#3344	2
C₆₁×#3337	2
C₆₁×#3320	2
C₆₁×#3313	2
C₆₁×#3312	2
C₆₁×#3300	2
C₆₁×#3299	2
D₄×Q₁₆×C₆₁	2
C₆₁×#3270	2
C₆₁×#3181	2
C₆₁×#3178	2
C₆₁×#3177	2
C₆₁×#3127	2
C₆₁×#3121	2
C₆₁×#3120	2
C₆₁×#3108	2
C₆₁×#3104	2
C₆₁×#2968	2
C₆₁×#2950	2
C₆₁×#2947	2
C₂×C₆₁×#441	2
#61525	61

Subgroups — C61×#61525 #29564958

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61525 #29564958