Subgroups — C₆₁×#61534 #29564967

Order 15616.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3524	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3390	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3347	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3345	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3317	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3305	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3287	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3180	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3179	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3176	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3126	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3124	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3106	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×#2947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2943	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×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×#559	—	2	1	no	—
36	C₆₁×#559	C₂²	1	1	yes	characteristic
37	C₆₁×#557	C₂²	1	1	yes	characteristic
38	C₆₁×#557	C₂²	1	1	yes	characteristic
39	C₆₁×#555	—	2	1	no	—
40	C₆₁×#555	C₂²	1	1	yes	characteristic
41	C₆₁×#553	—	2	1	no	—
42	C₆₁×#553	—	2	1	no	—
43	C₆₁×#553	—	2	1	no	—
44	C₆₁×#553	C₂²	1	1	yes	characteristic
45	C₆₁×#553	C₂²	1	1	yes	characteristic
46	C₆₁×#553	C₂²	1	1	yes	characteristic
47	C₆₁×#552	—	2	1	no	—
48	C₆₁×#552	C₂²	1	1	yes	characteristic
49	C₆₁×#550	—	2	1	no	—
50	C₆₁×#550	C₂²	1	1	yes	characteristic
51	C₆₁×#550	C₂²	1	1	yes	characteristic
52	C₆₁×#550	C₂²	1	1	yes	characteristic
53	C₆₁×#550	C₂²	1	1	yes	characteristic
54	C₆₁×#550	C₂²	1	1	yes	characteristic
55	C₆₁×#548	C₂²	1	1	yes	characteristic
56	C₆₁×#548	C₂²	1	1	yes	characteristic
57	C₆₁×#547	—	2	1	no	—
58	C₆₁×#547	C₂²	1	1	yes	characteristic
59	C₆₁×#542	—	2	1	no	—
60	C₆₁×#542	C₂²	1	1	yes	characteristic
61	C₆₁×#540	—	2	1	no	—
62	C₆₁×#540	—	2	1	no	—
63	C₆₁×#540	—	2	1	no	—
64	C₆₁×#540	C₂²	1	1	yes	characteristic
65	C₆₁×#540	C₂²	1	1	yes	characteristic
66	C₆₁×#540	C₂²	1	1	yes	characteristic
67	C₆₁×#532	—	2	1	no	—
68	C₆₁×#532	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×#520	C₂²	1	1	yes	characteristic
76	C₆₁×#520	C₂²	1	1	yes	characteristic
77	C₆₁×#519	C₂²	1	1	yes	characteristic
78	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
79	C₄×#41×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×#496	C₂²	1	1	yes	characteristic
84	C₆₁×#496	C₂²	1	1	yes	characteristic
85	C₆₁×#493	C₂²	1	1	yes	characteristic
86	C₆₁×#490	C₂²	1	1	yes	characteristic
87	C₆₁×#490	C₂²	1	1	yes	characteristic
88	C₆₁×#490	C₂²	1	1	yes	characteristic
89	C₆₁×#489	C₂²	1	1	yes	characteristic
90	C₆₁×#488	C₂²	1	1	yes	characteristic
91	C₆₁×#486	C₂²	1	1	yes	characteristic
92	C₆₁×#485	C₂²	1	1	yes	characteristic
93	C₆₁×#484	C₂²	1	1	yes	characteristic
94	C₆₁×#482	C₂²	1	1	yes	characteristic
95	C₆₁×#482	C₂²	1	1	yes	characteristic
96	C₆₁×#482	C₂²	1	1	yes	characteristic
97	C₆₁×#482	C₂²	1	1	yes	characteristic
98	C₆₁×#482	C₂²	1	1	yes	characteristic
99	C₆₁×#481	C₂²	1	1	yes	characteristic
100	C₆₁×#481	C₂²	1	1	yes	characteristic
101	C₆₁×#480	C₂²	1	1	yes	characteristic
102	C₆₁×#480	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×#478	C₂²	1	1	yes	characteristic
110	C₆₁×#478	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×#476	C₂²	1	1	yes	characteristic
115	C₆₁×#474	C₂²	1	1	yes	characteristic
116	C₆₁×#469	C₂²	1	1	yes	characteristic
117	C₆₁×#469	C₂²	1	1	yes	characteristic
118	C₆₁×#469	C₂²	1	1	yes	characteristic
119	C₆₁×#468	C₂²	1	1	yes	characteristic
120	C₆₁×#466	C₂²	1	1	yes	characteristic
121	C₆₁×#466	C₂²	1	1	yes	characteristic
122	C₆₁×#466	C₂²	1	1	yes	characteristic
123	C₆₁×#466	C₂²	1	1	yes	characteristic
124	C₆₁×#466	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×#463	C₂²	1	1	yes	characteristic
131	C₆₁×#463	C₂²	1	1	yes	characteristic
132	C₆₁×#460	C₂²	1	1	yes	characteristic
133	C₆₁×#460	C₂²	1	1	yes	characteristic
134	C₆₁×#460	C₂²	1	1	yes	characteristic
135	C₆₁×#460	C₂²	1	1	yes	characteristic
136	C₆₁×#460	C₂²	1	1	yes	characteristic
137	C₆₁×#459	C₂²	1	1	yes	characteristic
138	C₆₁×#459	C₂²	1	1	yes	characteristic
139	C₆₁×#459	C₂²	1	1	yes	characteristic
140	C₆₁×#452	C₂²	1	1	yes	characteristic
141	C₆₁×#452	C₂²	1	1	yes	characteristic
142	C₆₁×#449	C₂²	1	1	yes	characteristic
143	C₆₁×#449	C₂²	1	1	yes	characteristic
144	C₆₁×#449	C₂²	1	1	yes	characteristic
145	C₆₁×#449	C₂²	1	1	yes	characteristic
146	C₆₁×#449	C₂²	1	1	yes	characteristic
147	C₆₁×#449	C₂²	1	1	yes	characteristic
148	C₆₁×#449	C₂²	1	1	yes	characteristic
149	C₆₁×#449	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×#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×#442	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×#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
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×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
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
179	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
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
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×#417	C₂²	1	1	yes	characteristic
195	C₆₁×#417	C₂²	1	1	yes	characteristic
196	C₆₁×#416	C₂²	1	1	yes	characteristic
197	C₆₁×#416	C₂²	1	1	yes	characteristic
198	C₆₁×#416	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	—	2	1	no	—
204	C₂×#41×C₆₁	—	2	1	no	—
205	C₂×#41×C₆₁	—	2	1	no	—
206	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
208	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
209	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
210	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
212	#137×C₆₁	—	2	4	no	—
213	#135×C₆₁	—	2	4	no	—
214	#135×C₆₁	—	2	4	no	—
215	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×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×D₈×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×D₈×C₆₁	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
230	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
232	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
234	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
237	C₄⋊Q₈×C₆₁	—	2	1	no	—
238	C₄⋊Q₈×C₆₁	—	2	1	no	—
239	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
241	#127×C₆₁	—	2	1	no	—
242	#127×C₆₁	—	2	1	no	—
243	#127×C₆₁	—	2	1	no	—
244	#127×C₆₁	—	2	1	no	—
245	#127×C₆₁	C₂³	1	1	yes	characteristic
246	#127×C₆₁	C₂³	1	1	yes	characteristic
247	#127×C₆₁	C₂³	1	1	yes	characteristic
248	#127×C₆₁	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
256	#126×C₆₁	D₄	1	1	yes	characteristic
257	#125×C₆₁	—	2	1	no	—
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	D₄	1	1	yes	characteristic
263	#125×C₆₁	C₂³	1	1	yes	characteristic
264	#125×C₆₁	C₂³	1	1	yes	characteristic
265	#125×C₆₁	C₂³	1	1	yes	characteristic
266	#125×C₆₁	C₂³	1	1	yes	characteristic
267	#124×C₆₁	—	2	1	no	—
268	#124×C₆₁	—	2	1	no	—
269	#124×C₆₁	—	2	1	no	—
270	#124×C₆₁	—	2	1	no	—
271	#124×C₆₁	—	2	1	no	—
272	#124×C₆₁	—	2	1	no	—
273	#124×C₆₁	—	2	1	no	—
274	#124×C₆₁	D₄	1	1	yes	characteristic
275	#124×C₆₁	C₂³	1	1	yes	characteristic
276	#124×C₆₁	C₂³	1	1	yes	characteristic
277	#123×C₆₁	—	2	1	no	—
278	#123×C₆₁	—	2	1	no	—
279	#123×C₆₁	—	2	1	no	—
280	#123×C₆₁	—	2	1	no	—
281	#123×C₆₁	—	2	1	no	—
282	#123×C₆₁	—	2	1	no	—
283	#123×C₆₁	—	2	1	no	—
284	#123×C₆₁	—	2	1	no	—
285	#123×C₆₁	—	2	1	no	—
286	#123×C₆₁	—	2	1	no	—
287	#123×C₆₁	—	2	1	no	—
288	#123×C₆₁	—	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	D₄	1	1	yes	characteristic
294	#123×C₆₁	D₄	1	1	yes	characteristic
295	C₂²⋊Q₈×C₆₁	—	2	1	no	—
296	C₂²⋊Q₈×C₆₁	—	2	1	no	—
297	C₂²⋊Q₈×C₆₁	—	2	1	no	—
298	C₂²⋊Q₈×C₆₁	—	2	1	no	—
299	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
300	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
301	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
302	#121×C₆₁	—	2	1	no	—
303	#121×C₆₁	—	2	1	no	—
304	#121×C₆₁	—	2	1	no	—
305	#121×C₆₁	—	2	1	no	—
306	#121×C₆₁	—	2	1	no	—
307	#121×C₆₁	—	2	1	no	—
308	#121×C₆₁	—	2	1	no	—
309	#121×C₆₁	—	2	1	no	—
310	#121×C₆₁	—	2	1	no	—
311	#121×C₆₁	—	2	1	no	—
312	#121×C₆₁	—	2	1	no	—
313	#121×C₆₁	—	2	1	no	—
314	#121×C₆₁	—	2	1	no	—
315	#121×C₆₁	—	2	1	no	—
316	#121×C₆₁	—	2	1	no	—
317	#121×C₆₁	—	2	1	no	—
318	#121×C₆₁	—	2	1	no	—
319	#121×C₆₁	—	2	1	no	—
320	#121×C₆₁	—	2	1	no	—
321	#121×C₆₁	—	2	1	no	—
322	#121×C₆₁	—	2	1	no	—
323	#121×C₆₁	—	2	1	no	—
324	#121×C₆₁	—	2	1	no	—
325	#121×C₆₁	—	2	1	no	—
326	#121×C₆₁	D₄	1	1	yes	characteristic
327	#121×C₆₁	C₂³	1	1	yes	characteristic
328	#121×C₆₁	C₂³	1	1	yes	characteristic
329	#121×C₆₁	C₂³	1	1	yes	characteristic
330	#121×C₆₁	C₂³	1	1	yes	characteristic
331	#121×C₆₁	C₂³	1	1	yes	characteristic
332	#121×C₆₁	C₂³	1	1	yes	characteristic
333	#121×C₆₁	C₂³	1	1	yes	characteristic
334	#121×C₆₁	C₂³	1	1	yes	characteristic
335	#121×C₆₁	C₂³	1	1	yes	characteristic
336	#121×C₆₁	C₂³	1	1	yes	characteristic
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	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×Q₈×C₆₁	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
352	C₄×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	—	2	1	no	—
364	C₄×D₄×C₆₁	—	2	1	no	—
365	C₄×D₄×C₆₁	—	2	1	no	—
366	C₄×D₄×C₆₁	—	2	1	no	—
367	C₄×D₄×C₆₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
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	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
386	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
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	#102×C₆₁	C₂³	1	1	yes	characteristic
446	#102×C₆₁	C₂³	1	1	yes	characteristic
447	#102×C₆₁	C₂³	1	1	yes	characteristic
448	#102×C₆₁	C₂³	1	1	yes	characteristic
449	#102×C₆₁	C₂³	1	1	yes	characteristic
450	#102×C₆₁	C₂³	1	1	yes	characteristic
451	#102×C₆₁	C₂³	1	1	yes	characteristic
452	#102×C₆₁	C₂³	1	1	yes	characteristic
453	#102×C₆₁	C₂³	1	1	yes	characteristic
454	#102×C₆₁	C₂³	1	1	yes	characteristic
455	#102×C₆₁	C₂³	1	1	yes	characteristic
456	#102×C₆₁	C₂³	1	1	yes	characteristic
457	#102×C₆₁	C₂³	1	1	yes	characteristic
458	#102×C₆₁	C₂³	1	1	yes	characteristic
459	#102×C₆₁	C₂³	1	1	yes	characteristic
460	#102×C₆₁	C₂³	1	1	yes	characteristic
461	#102×C₆₁	C₂³	1	1	yes	characteristic
462	#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	—	2	2	no	—
483	#41×C₆₁	—	2	2	no	—
484	#41×C₆₁	—	2	2	no	—
485	#41×C₆₁	—	2	2	no	—
486	#41×C₆₁	—	4	1	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	—	8	2	no	—
492	#41×C₆₁	—	8	2	no	—
493	#41×C₆₁	—	8	2	no	—
494	C₂×Q₈×C₆₁	—	2	1	no	—
495	C₂×Q₈×C₆₁	—	2	1	no	—
496	C₂×Q₈×C₆₁	—	2	1	no	—
497	C₂×Q₈×C₆₁	—	2	2	no	—
498	C₂×Q₈×C₆₁	—	4	1	no	—
499	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
500	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₆₁	—	2	1	no	—
504	C₂×D₄×C₆₁	—	2	1	no	—
505	C₂×D₄×C₆₁	—	2	1	no	—
506	C₂×D₄×C₆₁	—	2	1	no	—
507	C₂×D₄×C₆₁	—	2	1	no	—
508	C₂×D₄×C₆₁	—	2	1	no	—
509	C₂×D₄×C₆₁	—	2	1	no	—
510	C₂×D₄×C₆₁	—	2	1	no	—
511	C₂×D₄×C₆₁	—	2	1	no	—
512	C₂×D₄×C₆₁	—	2	1	no	—
513	C₂×D₄×C₆₁	—	2	1	no	—
514	C₂×D₄×C₆₁	—	2	1	no	—
515	C₂×D₄×C₆₁	—	2	1	no	—
516	C₂×D₄×C₆₁	—	2	1	no	—
517	C₂×D₄×C₆₁	—	2	1	no	—
518	C₂×D₄×C₆₁	—	2	1	no	—
519	C₂×D₄×C₆₁	—	2	1	no	—
520	C₂×D₄×C₆₁	—	2	1	no	—
521	C₂×D₄×C₆₁	—	2	1	no	—
522	C₂×D₄×C₆₁	—	2	1	no	—
523	C₂×D₄×C₆₁	—	2	1	no	—
524	C₂×D₄×C₆₁	—	2	1	no	—
525	C₂×D₄×C₆₁	—	2	1	no	—
526	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
533	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₆₁	—	2	1	no	—
535	C₂²×C₄×C₆₁	—	2	1	no	—
536	C₂²×C₄×C₆₁	—	2	1	no	—
537	C₂²×C₄×C₆₁	—	2	1	no	—
538	C₂²×C₄×C₆₁	—	2	1	no	—
539	C₂²×C₄×C₆₁	—	2	1	no	—
540	C₂²×C₄×C₆₁	—	2	1	no	—
541	C₂²×C₄×C₆₁	—	2	1	no	—
542	C₂²×C₄×C₆₁	—	2	1	no	—
543	C₂²×C₄×C₆₁	—	2	1	no	—
544	C₂²×C₄×C₆₁	—	2	1	no	—
545	C₂²×C₄×C₆₁	—	2	1	no	—
546	C₂²×C₄×C₆₁	—	2	1	no	—
547	C₂²×C₄×C₆₁	—	2	1	no	—
548	C₂²×C₄×C₆₁	—	2	1	no	—
549	C₂²×C₄×C₆₁	—	2	1	no	—
550	C₂²×C₄×C₆₁	—	2	1	no	—
551	C₂²×C₄×C₆₁	—	2	1	no	—
552	C₂²×C₄×C₆₁	—	2	1	no	—
553	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
554	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
558	Q₁₆×C₆₁	—	2	2	no	—
559	Q₁₆×C₆₁	#41	1	4	yes	complemented
560	SD₁₆×C₆₁	—	2	2	no	—
561	SD₁₆×C₆₁	—	2	2	no	—
562	SD₁₆×C₆₁	—	2	2	no	—
563	SD₁₆×C₆₁	—	2	2	no	—
564	SD₁₆×C₆₁	—	2	2	no	—
565	SD₁₆×C₆₁	—	2	2	no	—
566	SD₁₆×C₆₁	—	4	1	no	—
567	SD₁₆×C₆₁	—	4	1	no	—
568	D₈×C₆₁	—	2	2	no	—
569	D₈×C₆₁	—	2	2	no	—
570	D₈×C₆₁	—	4	1	no	—
571	D₈×C₆₁	—	4	1	no	—
572	D₈×C₆₁	—	4	1	no	—
573	D₈×C₆₁	—	4	1	no	—
574	M₁₆×C₆₁	—	2	2	no	—
575	M₁₆×C₆₁	—	4	1	no	—
576	C₂×C₈×C₆₁	—	2	2	no	—
577	C₂×C₈×C₆₁	—	2	2	no	—
578	C₂×C₈×C₆₁	—	4	1	no	—
579	C₂×C₈×C₆₁	—	4	1	no	—
580	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
611	C₄⋊C₄×C₆₁	—	2	1	no	—
612	C₄⋊C₄×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
622	C₄⋊C₄×C₆₁	C₂×D₄	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	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
658	C₂²⋊C₄×C₆₁	—	2	1	no	—
659	C₂²⋊C₄×C₆₁	—	2	1	no	—
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	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
681	C₄²×C₆₁	—	2	1	no	—
682	C₄²×C₆₁	—	2	1	no	—
683	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
686	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
687	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
688	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
689	C₂³×C₆₁	—	2	1	no	—
690	C₂³×C₆₁	—	2	1	no	—
691	C₂³×C₆₁	—	2	1	no	—
692	C₂³×C₆₁	—	2	1	no	—
693	C₂³×C₆₁	—	2	1	no	—
694	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
695	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
696	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
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	—	4	1	no	—
702	Q₈×C₆₁	—	4	2	no	—
703	Q₈×C₆₁	—	4	2	no	—
704	Q₈×C₆₁	—	8	1	no	—
705	Q₈×C₆₁	C₂×#41	1	2	yes	—
706	Q₈×C₆₁	C₂×#41	1	2	yes	—
707	D₄×C₆₁	—	2	1	no	—
708	D₄×C₆₁	—	2	1	no	—
709	D₄×C₆₁	—	2	1	no	—
710	D₄×C₆₁	—	2	1	no	—
711	D₄×C₆₁	—	2	1	no	—
712	D₄×C₆₁	—	2	1	no	—
713	D₄×C₆₁	—	2	1	no	—
714	D₄×C₆₁	—	2	1	no	—
715	D₄×C₆₁	—	2	1	no	—
716	D₄×C₆₁	—	2	1	no	—
717	D₄×C₆₁	—	4	1	no	—
718	D₄×C₆₁	—	4	1	no	—
719	D₄×C₆₁	—	4	1	no	—
720	D₄×C₆₁	—	4	2	no	—
721	D₄×C₆₁	—	4	2	no	—
722	D₄×C₆₁	—	4	2	no	—
723	D₄×C₆₁	—	4	2	no	—
724	D₄×C₆₁	—	4	2	no	—
725	D₄×C₆₁	—	4	2	no	—
726	D₄×C₆₁	—	8	1	no	—
727	D₄×C₆₁	—	8	1	no	—
728	D₄×C₆₁	—	8	1	no	—
729	D₄×C₆₁	—	8	1	no	—
730	D₄×C₆₁	—	8	1	no	—
731	D₄×C₆₁	—	8	1	no	—
732	D₄×C₆₁	—	8	1	no	—
733	D₄×C₆₁	—	8	1	no	—
734	D₄×C₆₁	—	8	1	no	—
735	D₄×C₆₁	—	8	1	no	—
736	D₄×C₆₁	—	8	1	no	—
737	D₄×C₆₁	—	8	1	no	—
738	D₄×C₆₁	—	8	1	no	—
739	D₄×C₆₁	—	8	1	no	—
740	D₄×C₆₁	—	8	1	no	—
741	D₄×C₆₁	—	8	1	no	—
742	D₄×C₆₁	—	8	1	no	—
743	C₂×C₄×C₆₁	—	2	1	no	—
744	C₂×C₄×C₆₁	—	2	1	no	—
745	C₂×C₄×C₆₁	—	2	1	no	—
746	C₂×C₄×C₆₁	—	2	1	no	—
747	C₂×C₄×C₆₁	—	2	1	no	—
748	C₂×C₄×C₆₁	—	2	1	no	—
749	C₂×C₄×C₆₁	—	2	1	no	—
750	C₂×C₄×C₆₁	—	2	1	no	—
751	C₂×C₄×C₆₁	—	2	1	no	—
752	C₂×C₄×C₆₁	—	2	1	no	—
753	C₂×C₄×C₆₁	—	2	1	no	—
754	C₂×C₄×C₆₁	—	2	1	no	—
755	C₂×C₄×C₆₁	—	2	1	no	—
756	C₂×C₄×C₆₁	—	2	1	no	—
757	C₂×C₄×C₆₁	—	2	1	no	—
758	C₂×C₄×C₆₁	—	2	1	no	—
759	C₂×C₄×C₆₁	—	2	1	no	—
760	C₂×C₄×C₆₁	—	4	1	no	—
761	C₂×C₄×C₆₁	—	4	1	no	—
762	C₂×C₄×C₆₁	—	4	2	no	—
763	C₂×C₄×C₆₁	—	4	2	no	—
764	C₂×C₄×C₆₁	—	4	2	no	—
765	C₂×C₄×C₆₁	—	4	2	no	—
766	C₂×C₄×C₆₁	—	4	2	no	—
767	C₂×C₄×C₆₁	—	4	2	no	—
768	C₂×C₄×C₆₁	—	4	2	no	—
769	C₂×C₄×C₆₁	—	8	1	no	—
770	C₂×C₄×C₆₁	—	8	1	no	—
771	C₂×C₄×C₆₁	—	8	1	no	—
772	C₂×C₄×C₆₁	—	8	1	no	—
773	C₂×C₄×C₆₁	—	8	1	no	—
774	C₂×C₄×C₆₁	—	8	1	no	—
775	C₂×C₄×C₆₁	—	8	1	no	—
776	C₂×C₄×C₆₁	—	8	1	no	—
777	C₂×C₄×C₆₁	—	8	1	no	—
778	C₂×C₄×C₆₁	—	8	1	no	—
779	C₂×C₄×C₆₁	—	8	1	no	—
780	C₂×C₄×C₆₁	—	8	1	no	—
781	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
793	C₈×C₆₁	—	2	1	no	—
794	C₈×C₆₁	—	2	1	no	—
795	C₈×C₆₁	—	2	1	no	—
796	C₈×C₆₁	—	2	1	no	—
797	C₈×C₆₁	—	2	1	no	—
798	C₈×C₆₁	—	2	1	no	—
799	C₈×C₆₁	—	2	1	no	—
800	C₈×C₆₁	C₂×#41	1	2	yes	—
801	#61534	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
802	C₂²×C₆₁	—	2	1	no	—
803	C₂²×C₆₁	—	2	1	no	—
804	C₂²×C₆₁	—	2	1	no	—
805	C₂²×C₆₁	—	2	1	no	—
806	C₂²×C₆₁	—	2	1	no	—
807	C₂²×C₆₁	—	2	1	no	—
808	C₂²×C₆₁	—	2	1	no	—
809	C₂²×C₆₁	—	2	1	no	—
810	C₂²×C₆₁	—	2	1	no	—
811	C₂²×C₆₁	—	4	1	no	—
812	C₂²×C₆₁	—	4	1	no	—
813	C₂²×C₆₁	—	4	1	no	—
814	C₂²×C₆₁	—	4	1	no	—
815	C₂²×C₆₁	—	4	1	no	—
816	C₂²×C₆₁	—	4	1	no	—
817	C₂²×C₆₁	—	4	1	no	—
818	C₂²×C₆₁	—	4	1	no	—
819	C₂²×C₆₁	—	4	1	no	—
820	C₂²×C₆₁	—	4	1	no	—
821	C₂²×C₆₁	—	4	1	no	—
822	C₂²×C₆₁	—	4	1	no	—
823	C₂²×C₆₁	—	4	1	no	—
824	C₂²×C₆₁	—	4	1	no	—
825	C₂²×C₆₁	—	4	1	no	—
826	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
827	C₄×C₆₁	—	2	1	no	—
828	C₄×C₆₁	—	2	1	no	—
829	C₄×C₆₁	—	2	1	no	—
830	C₄×C₆₁	—	2	1	no	—
831	C₄×C₆₁	—	2	1	no	—
832	C₄×C₆₁	—	2	1	no	—
833	C₄×C₆₁	—	2	1	no	—
834	C₄×C₆₁	—	2	1	no	—
835	C₄×C₆₁	—	2	1	no	—
836	C₄×C₆₁	—	2	1	no	—
837	C₄×C₆₁	—	2	1	no	—
838	C₄×C₆₁	—	2	2	no	—
839	C₄×C₆₁	—	2	2	no	—
840	C₄×C₆₁	—	4	1	no	—
841	C₄×C₆₁	—	4	1	no	—
842	C₄×C₆₁	—	4	1	no	—
843	C₄×C₆₁	—	4	1	no	—
844	C₄×C₆₁	—	4	1	no	—
845	C₄×C₆₁	—	4	1	no	—
846	C₄×C₆₁	—	4	1	no	—
847	C₄×C₆₁	—	4	1	no	—
848	C₄×C₆₁	—	4	1	no	—
849	C₄×C₆₁	C₂²×#41	1	1	yes	characteristic
850	C₄×C₆₁	#585	1	1	yes	characteristic
851	#3524	C₂×C₆₁	1	1	yes	characteristic, complemented
852	#3517	C₂×C₆₁	1	1	yes	characteristic, complemented
853	#3399	C₂×C₆₁	1	1	yes	characteristic, complemented
854	#3390	C₂×C₆₁	1	1	yes	characteristic, complemented
855	#3371	C₂×C₆₁	1	1	yes	characteristic, complemented
856	#3368	C₂×C₆₁	1	1	yes	characteristic, complemented
857	#3347	C₂×C₆₁	1	1	yes	characteristic, complemented
858	#3345	C₂×C₆₁	1	1	yes	characteristic, complemented
859	#3337	C₂×C₆₁	1	1	yes	characteristic, complemented
860	#3317	C₂×C₆₁	1	1	yes	characteristic, complemented
861	#3309	C₂×C₆₁	1	1	yes	characteristic, complemented
862	#3309	C₂×C₆₁	1	1	yes	characteristic, complemented
863	#3308	C₂×C₆₁	1	1	yes	characteristic, complemented
864	#3305	C₂×C₆₁	1	1	yes	characteristic, complemented
865	#3301	C₂×C₆₁	1	1	yes	characteristic, complemented
866	#3287	C₂×C₆₁	1	1	yes	characteristic, complemented
867	#3271	C₂×C₆₁	1	1	yes	characteristic, complemented
868	#3271	C₂×C₆₁	1	1	yes	characteristic, complemented
869	#3180	C₂×C₆₁	1	1	yes	characteristic, complemented
870	#3179	C₂×C₆₁	1	1	yes	characteristic, complemented
871	#3176	C₂×C₆₁	1	1	yes	characteristic, complemented
872	#3126	C₂×C₆₁	1	1	yes	characteristic, complemented
873	#3124	C₂×C₆₁	1	1	yes	characteristic, complemented
874	#3119	C₂×C₆₁	1	1	yes	characteristic, complemented
875	#3119	C₂×C₆₁	1	1	yes	characteristic, complemented
876	#3106	C₂×C₆₁	1	1	yes	characteristic, complemented
877	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
878	#2968	C₂×C₆₁	1	1	yes	characteristic, complemented
879	#2952	C₂×C₆₁	1	1	yes	characteristic, complemented
880	#2947	C₂×C₆₁	1	1	yes	characteristic, complemented
881	#2943	C₂×C₆₁	1	1	yes	characteristic, complemented
882	C₂×C₆₁	—	4	1	no	—
883	C₂×C₆₁	—	4	1	no	—
884	C₂×C₆₁	—	4	1	no	—
885	C₂×C₆₁	—	8	1	no	—
886	C₂×C₆₁	—	8	1	no	—
887	C₂×C₆₁	—	8	1	no	—
888	C₂×C₆₁	—	8	1	no	—
889	C₂×C₆₁	—	8	1	no	—
890	C₂×C₆₁	D₄×#41	1	1	yes	characteristic
891	C₂×C₆₁	#3584	1	1	yes	characteristic
892	C₂×C₆₁	#3585	1	1	yes	characteristic
893	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic
894	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic
895	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic
896	#559	—	2	1	no	—
897	#559	C₂²×C₆₁	1	1	yes	characteristic
898	#557	C₂²×C₆₁	1	1	yes	characteristic
899	#557	C₂²×C₆₁	1	1	yes	characteristic
900	#555	—	2	1	no	—
901	#555	C₂²×C₆₁	1	1	yes	characteristic
902	#553	—	2	1	no	—
903	#553	—	2	1	no	—
904	#553	—	2	1	no	—
905	#553	C₂²×C₆₁	1	1	yes	characteristic
906	#553	C₂²×C₆₁	1	1	yes	characteristic
907	#553	C₂²×C₆₁	1	1	yes	characteristic
908	#552	—	2	1	no	—
909	#552	C₂²×C₆₁	1	1	yes	characteristic
910	#550	—	2	1	no	—
911	#550	C₂²×C₆₁	1	1	yes	characteristic
912	#550	C₂²×C₆₁	1	1	yes	characteristic
913	#550	C₂²×C₆₁	1	1	yes	characteristic
914	#550	C₂²×C₆₁	1	1	yes	characteristic
915	#550	C₂²×C₆₁	1	1	yes	characteristic
916	#548	C₂²×C₆₁	1	1	yes	characteristic
917	#548	C₂²×C₆₁	1	1	yes	characteristic
918	#547	—	2	1	no	—
919	#547	C₂²×C₆₁	1	1	yes	characteristic
920	#542	—	2	1	no	—
921	#542	C₂²×C₆₁	1	1	yes	characteristic
922	#540	—	2	1	no	—
923	#540	—	2	1	no	—
924	#540	—	2	1	no	—
925	#540	C₂²×C₆₁	1	1	yes	characteristic
926	#540	C₂²×C₆₁	1	1	yes	characteristic
927	#540	C₂²×C₆₁	1	1	yes	characteristic
928	#532	—	2	1	no	—
929	#532	C₂²×C₆₁	1	1	yes	characteristic
930	#529	—	2	1	no	—
931	#529	—	2	1	no	—
932	#529	—	2	1	no	—
933	#529	C₂²×C₆₁	1	1	yes	characteristic
934	#529	C₂²×C₆₁	1	1	yes	characteristic
935	#520	C₂²×C₆₁	1	1	yes	characteristic
936	#520	C₂²×C₆₁	1	1	yes	characteristic
937	#520	C₂²×C₆₁	1	1	yes	characteristic
938	#519	C₂²×C₆₁	1	1	yes	characteristic
939	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
940	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
941	#501	C₂²×C₆₁	1	1	yes	characteristic
942	#501	C₂²×C₆₁	1	1	yes	characteristic
943	#499	C₂²×C₆₁	1	1	yes	characteristic
944	#496	C₂²×C₆₁	1	1	yes	characteristic
945	#496	C₂²×C₆₁	1	1	yes	characteristic
946	#493	C₂²×C₆₁	1	1	yes	characteristic
947	#490	C₂²×C₆₁	1	1	yes	characteristic
948	#490	C₂²×C₆₁	1	1	yes	characteristic
949	#490	C₂²×C₆₁	1	1	yes	characteristic
950	#489	C₂²×C₆₁	1	1	yes	characteristic
951	#488	C₂²×C₆₁	1	1	yes	characteristic
952	#486	C₂²×C₆₁	1	1	yes	characteristic
953	#485	C₂²×C₆₁	1	1	yes	characteristic
954	#484	C₂²×C₆₁	1	1	yes	characteristic
955	#482	C₂²×C₆₁	1	1	yes	characteristic
956	#482	C₂²×C₆₁	1	1	yes	characteristic
957	#482	C₂²×C₆₁	1	1	yes	characteristic
958	#482	C₂²×C₆₁	1	1	yes	characteristic
959	#482	C₂²×C₆₁	1	1	yes	characteristic
960	#481	C₂²×C₆₁	1	1	yes	characteristic
961	#481	C₂²×C₆₁	1	1	yes	characteristic
962	#480	C₂²×C₆₁	1	1	yes	characteristic
963	#480	C₂²×C₆₁	1	1	yes	characteristic
964	#480	C₂²×C₆₁	1	1	yes	characteristic
965	#479	C₂²×C₆₁	1	1	yes	characteristic
966	#479	C₂²×C₆₁	1	1	yes	characteristic
967	#479	C₂²×C₆₁	1	1	yes	characteristic
968	#479	C₂²×C₆₁	1	1	yes	characteristic
969	#479	C₂²×C₆₁	1	1	yes	characteristic
970	#478	C₂²×C₆₁	1	1	yes	characteristic
971	#478	C₂²×C₆₁	1	1	yes	characteristic
972	#478	C₂²×C₆₁	1	1	yes	characteristic
973	#477	C₂²×C₆₁	1	1	yes	characteristic
974	#477	C₂²×C₆₁	1	1	yes	characteristic
975	#476	C₂²×C₆₁	1	1	yes	characteristic
976	#474	C₂²×C₆₁	1	1	yes	characteristic
977	#469	C₂²×C₆₁	1	1	yes	characteristic
978	#469	C₂²×C₆₁	1	1	yes	characteristic
979	#469	C₂²×C₆₁	1	1	yes	characteristic
980	#468	C₂²×C₆₁	1	1	yes	characteristic
981	#466	C₂²×C₆₁	1	1	yes	characteristic
982	#466	C₂²×C₆₁	1	1	yes	characteristic
983	#466	C₂²×C₆₁	1	1	yes	characteristic
984	#466	C₂²×C₆₁	1	1	yes	characteristic
985	#466	C₂²×C₆₁	1	1	yes	characteristic
986	#465	C₂²×C₆₁	1	1	yes	characteristic
987	#465	C₂²×C₆₁	1	1	yes	characteristic
988	#465	C₂²×C₆₁	1	1	yes	characteristic
989	#464	C₂²×C₆₁	1	1	yes	characteristic
990	#464	C₂²×C₆₁	1	1	yes	characteristic
991	#463	C₂²×C₆₁	1	1	yes	characteristic
992	#463	C₂²×C₆₁	1	1	yes	characteristic
993	#460	C₂²×C₆₁	1	1	yes	characteristic
994	#460	C₂²×C₆₁	1	1	yes	characteristic
995	#460	C₂²×C₆₁	1	1	yes	characteristic
996	#460	C₂²×C₆₁	1	1	yes	characteristic
997	#460	C₂²×C₆₁	1	1	yes	characteristic
998	#459	C₂²×C₆₁	1	1	yes	characteristic
999	#459	C₂²×C₆₁	1	1	yes	characteristic
1000	#459	C₂²×C₆₁	1	1	yes	characteristic
1001	#452	C₂²×C₆₁	1	1	yes	characteristic
1002	#452	C₂²×C₆₁	1	1	yes	characteristic
1003	#449	C₂²×C₆₁	1	1	yes	characteristic
1004	#449	C₂²×C₆₁	1	1	yes	characteristic
1005	#449	C₂²×C₆₁	1	1	yes	characteristic
1006	#449	C₂²×C₆₁	1	1	yes	characteristic
1007	#449	C₂²×C₆₁	1	1	yes	characteristic
1008	#449	C₂²×C₆₁	1	1	yes	characteristic
1009	#449	C₂²×C₆₁	1	1	yes	characteristic
1010	#449	C₂²×C₆₁	1	1	yes	characteristic
1011	#448	C₂²×C₆₁	1	1	yes	characteristic
1012	#448	C₂²×C₆₁	1	1	yes	characteristic
1013	#446	C₂²×C₆₁	1	1	yes	characteristic
1014	#446	C₂²×C₆₁	1	1	yes	characteristic
1015	#442	C₂²×C₆₁	1	1	yes	characteristic
1016	#442	C₂²×C₆₁	1	1	yes	characteristic
1017	#442	C₂²×C₆₁	1	1	yes	characteristic
1018	#442	C₂²×C₆₁	1	1	yes	characteristic
1019	#442	C₂²×C₆₁	1	1	yes	characteristic
1020	#441	C₂²×C₆₁	1	1	yes	characteristic
1021	#441	C₂²×C₆₁	1	1	yes	characteristic
1022	#441	C₂²×C₆₁	1	1	yes	characteristic
1023	#441	C₂²×C₆₁	1	1	yes	characteristic
1024	#440	C₂²×C₆₁	1	1	yes	characteristic
1025	#440	C₂²×C₆₁	1	1	yes	characteristic
1026	#440	C₂²×C₆₁	1	1	yes	characteristic
1027	#440	C₂²×C₆₁	1	1	yes	characteristic
1028	#440	C₂²×C₆₁	1	1	yes	characteristic
1029	#440	C₂²×C₆₁	1	1	yes	characteristic
1030	#440	C₂²×C₆₁	1	1	yes	characteristic
1031	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
1032	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
1033	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1034	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1035	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1036	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1037	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1038	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1039	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1040	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1041	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1042	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1043	#435	C₂²×C₆₁	1	1	yes	characteristic
1044	#435	C₂²×C₆₁	1	1	yes	characteristic
1045	#435	C₂²×C₆₁	1	1	yes	characteristic
1046	#435	C₂²×C₆₁	1	1	yes	characteristic
1047	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1048	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1049	#433	C₂²×C₆₁	1	1	yes	characteristic
1050	#433	C₂²×C₆₁	1	1	yes	characteristic
1051	#431	C₂²×C₆₁	1	1	yes	characteristic
1052	#428	C₂²×C₆₁	1	1	yes	characteristic
1053	#427	C₂²×C₆₁	1	1	yes	characteristic
1054	C₂×#106	C₂²×C₆₁	1	1	yes	characteristic
1055	#417	C₂²×C₆₁	1	1	yes	characteristic
1056	#417	C₂²×C₆₁	1	1	yes	characteristic
1057	#416	C₂²×C₆₁	1	1	yes	characteristic
1058	#416	C₂²×C₆₁	1	1	yes	characteristic
1059	#416	C₂²×C₆₁	1	1	yes	characteristic
1060	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1061	#405	C₂²×C₆₁	1	1	yes	characteristic
1062	#405	C₂²×C₆₁	1	1	yes	characteristic
1063	C₂×#97	C₂²×C₆₁	1	1	yes	characteristic
1064	C₆₁	#61534	1	1	yes	characteristic, direct product factor, Sylow
1065	C₂×#41	—	2	1	no	—
1066	C₂×#41	—	2	1	no	—
1067	C₂×#41	—	2	1	no	—
1068	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1069	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1070	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1071	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1072	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1073	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1074	#137	—	2	4	no	—
1075	#135	—	2	4	no	—
1076	#135	—	2	4	no	—
1077	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1078	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1079	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1080	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1081	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1082	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1083	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1084	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1085	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1086	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1087	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1088	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1089	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1090	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1091	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1092	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1093	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1094	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1095	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1096	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1097	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1098	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1099	C₄⋊Q₈	—	2	1	no	—
1100	C₄⋊Q₈	—	2	1	no	—
1101	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1102	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1103	#127	—	2	1	no	—
1104	#127	—	2	1	no	—
1105	#127	—	2	1	no	—
1106	#127	—	2	1	no	—
1107	#127	C₂³×C₆₁	1	1	yes	characteristic
1108	#127	C₂³×C₆₁	1	1	yes	characteristic
1109	#127	C₂³×C₆₁	1	1	yes	characteristic
1110	#127	C₂³×C₆₁	1	1	yes	characteristic
1111	#126	—	2	1	no	—
1112	#126	—	2	1	no	—
1113	#126	—	2	1	no	—
1114	#126	—	2	1	no	—
1115	#126	—	2	1	no	—
1116	#126	—	2	1	no	—
1117	#126	D₄×C₆₁	1	1	yes	characteristic
1118	#126	D₄×C₆₁	1	1	yes	characteristic
1119	#125	—	2	1	no	—
1120	#125	—	2	1	no	—
1121	#125	—	2	1	no	—
1122	#125	—	2	1	no	—
1123	#125	—	2	1	no	—
1124	#125	D₄×C₆₁	1	1	yes	characteristic
1125	#125	C₂³×C₆₁	1	1	yes	characteristic
1126	#125	C₂³×C₆₁	1	1	yes	characteristic
1127	#125	C₂³×C₆₁	1	1	yes	characteristic
1128	#125	C₂³×C₆₁	1	1	yes	characteristic
1129	#124	—	2	1	no	—
1130	#124	—	2	1	no	—
1131	#124	—	2	1	no	—
1132	#124	—	2	1	no	—
1133	#124	—	2	1	no	—
1134	#124	—	2	1	no	—
1135	#124	—	2	1	no	—
1136	#124	D₄×C₆₁	1	1	yes	characteristic
1137	#124	C₂³×C₆₁	1	1	yes	characteristic
1138	#124	C₂³×C₆₁	1	1	yes	characteristic
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	D₄×C₆₁	1	1	yes	characteristic
1156	#123	D₄×C₆₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	D₄×C₆₁	1	1	yes	characteristic
1189	#121	C₂³×C₆₁	1	1	yes	characteristic
1190	#121	C₂³×C₆₁	1	1	yes	characteristic
1191	#121	C₂³×C₆₁	1	1	yes	characteristic
1192	#121	C₂³×C₆₁	1	1	yes	characteristic
1193	#121	C₂³×C₆₁	1	1	yes	characteristic
1194	#121	C₂³×C₆₁	1	1	yes	characteristic
1195	#121	C₂³×C₆₁	1	1	yes	characteristic
1196	#121	C₂³×C₆₁	1	1	yes	characteristic
1197	#121	C₂³×C₆₁	1	1	yes	characteristic
1198	#121	C₂³×C₆₁	1	1	yes	characteristic
1199	C₄×Q₈	—	2	1	no	—
1200	C₄×Q₈	—	2	1	no	—
1201	C₄×Q₈	—	2	1	no	—
1202	C₄×Q₈	—	2	1	no	—
1203	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1204	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1205	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1206	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1207	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1208	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1209	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1210	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1211	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1212	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1213	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	—	2	1	no	—
1235	C₄×D₄	—	2	1	no	—
1236	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1243	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1244	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1245	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1246	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1247	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1248	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1249	#117	—	2	1	no	—
1250	#117	—	2	1	no	—
1251	#117	—	2	1	no	—
1252	#117	—	2	1	no	—
1253	#117	—	2	1	no	—
1254	#117	—	2	1	no	—
1255	#117	—	2	1	no	—
1256	#117	—	2	1	no	—
1257	#117	—	2	1	no	—
1258	#117	—	2	1	no	—
1259	#117	C₂³×C₆₁	1	1	yes	characteristic
1260	#117	C₂³×C₆₁	1	1	yes	characteristic
1261	#117	C₂³×C₆₁	1	1	yes	characteristic
1262	#117	C₂³×C₆₁	1	1	yes	characteristic
1263	#117	C₂³×C₆₁	1	1	yes	characteristic
1264	C₂×C₄⋊C₄	—	2	1	no	—
1265	C₂×C₄⋊C₄	—	2	1	no	—
1266	C₂×C₄⋊C₄	—	2	1	no	—
1267	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1268	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1269	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1270	C₂×C₄²	—	2	1	no	—
1271	C₂×C₄²	—	2	1	no	—
1272	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1273	#107	C₂³×C₆₁	1	1	yes	characteristic
1274	#107	C₂³×C₆₁	1	1	yes	characteristic
1275	#107	C₂³×C₆₁	1	1	yes	characteristic
1276	#107	C₂³×C₆₁	1	1	yes	characteristic
1277	#107	C₂³×C₆₁	1	1	yes	characteristic
1278	#107	C₂³×C₆₁	1	1	yes	characteristic
1279	#107	C₂³×C₆₁	1	1	yes	characteristic
1280	#107	C₂³×C₆₁	1	1	yes	characteristic
1281	#106	C₂³×C₆₁	1	1	yes	characteristic
1282	#106	C₂³×C₆₁	1	1	yes	characteristic
1283	#106	C₂³×C₆₁	1	1	yes	characteristic
1284	#106	C₂³×C₆₁	1	1	yes	characteristic
1285	#106	C₂³×C₆₁	1	1	yes	characteristic
1286	#106	C₂³×C₆₁	1	1	yes	characteristic
1287	#106	C₂³×C₆₁	1	1	yes	characteristic
1288	#106	C₂³×C₆₁	1	1	yes	characteristic
1289	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1290	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1291	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1292	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1293	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1294	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1295	#103	C₂³×C₆₁	1	1	yes	characteristic
1296	#103	C₂³×C₆₁	1	1	yes	characteristic
1297	#103	C₂³×C₆₁	1	1	yes	characteristic
1298	#103	C₂³×C₆₁	1	1	yes	characteristic
1299	#103	C₂³×C₆₁	1	1	yes	characteristic
1300	#103	C₂³×C₆₁	1	1	yes	characteristic
1301	#103	C₂³×C₆₁	1	1	yes	characteristic
1302	#103	C₂³×C₆₁	1	1	yes	characteristic
1303	#103	C₂³×C₆₁	1	1	yes	characteristic
1304	#103	C₂³×C₆₁	1	1	yes	characteristic
1305	#103	C₂³×C₆₁	1	1	yes	characteristic
1306	#103	C₂³×C₆₁	1	1	yes	characteristic
1307	#102	C₂³×C₆₁	1	1	yes	characteristic
1308	#102	C₂³×C₆₁	1	1	yes	characteristic
1309	#102	C₂³×C₆₁	1	1	yes	characteristic
1310	#102	C₂³×C₆₁	1	1	yes	characteristic
1311	#102	C₂³×C₆₁	1	1	yes	characteristic
1312	#102	C₂³×C₆₁	1	1	yes	characteristic
1313	#102	C₂³×C₆₁	1	1	yes	characteristic
1314	#102	C₂³×C₆₁	1	1	yes	characteristic
1315	#102	C₂³×C₆₁	1	1	yes	characteristic
1316	#102	C₂³×C₆₁	1	1	yes	characteristic
1317	#102	C₂³×C₆₁	1	1	yes	characteristic
1318	#102	C₂³×C₆₁	1	1	yes	characteristic
1319	#102	C₂³×C₆₁	1	1	yes	characteristic
1320	#102	C₂³×C₆₁	1	1	yes	characteristic
1321	#102	C₂³×C₆₁	1	1	yes	characteristic
1322	#102	C₂³×C₆₁	1	1	yes	characteristic
1323	#102	C₂³×C₆₁	1	1	yes	characteristic
1324	#102	C₂³×C₆₁	1	1	yes	characteristic
1325	#102	C₂³×C₆₁	1	1	yes	characteristic
1326	#102	C₂³×C₆₁	1	1	yes	characteristic
1327	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1328	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1329	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1330	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1331	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1332	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1333	#97	C₂³×C₆₁	1	1	yes	characteristic
1334	#97	C₂³×C₆₁	1	1	yes	characteristic
1335	#97	C₂³×C₆₁	1	1	yes	characteristic
1336	#97	C₂³×C₆₁	1	1	yes	characteristic
1337	#97	C₂³×C₆₁	1	1	yes	characteristic
1338	#97	C₂³×C₆₁	1	1	yes	characteristic
1339	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1340	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1341	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1342	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1343	#41	—	2	2	no	—
1344	#41	—	2	2	no	—
1345	#41	—	2	2	no	—
1346	#41	—	2	2	no	—
1347	#41	—	2	2	no	—
1348	#41	—	4	1	no	—
1349	#41	—	4	1	no	—
1350	#41	—	4	1	no	—
1351	#41	—	4	1	no	—
1352	#41	—	4	1	no	—
1353	#41	—	8	2	no	—
1354	#41	—	8	2	no	—
1355	#41	—	8	2	no	—
1356	C₂×Q₈	—	2	1	no	—
1357	C₂×Q₈	—	2	1	no	—
1358	C₂×Q₈	—	2	1	no	—
1359	C₂×Q₈	—	2	2	no	—
1360	C₂×Q₈	—	4	1	no	—
1361	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1362	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1363	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1364	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1389	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1390	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1391	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1392	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1393	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1394	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1395	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1416	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1417	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1418	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1419	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1420	Q₁₆	—	2	2	no	—
1421	Q₁₆	#41×C₆₁	1	4	yes	complemented
1422	SD₁₆	—	2	2	no	—
1423	SD₁₆	—	2	2	no	—
1424	SD₁₆	—	2	2	no	—
1425	SD₁₆	—	2	2	no	—
1426	SD₁₆	—	2	2	no	—
1427	SD₁₆	—	2	2	no	—
1428	SD₁₆	—	4	1	no	—
1429	SD₁₆	—	4	1	no	—
1430	D₈	—	2	2	no	—
1431	D₈	—	2	2	no	—
1432	D₈	—	4	1	no	—
1433	D₈	—	4	1	no	—
1434	D₈	—	4	1	no	—
1435	D₈	—	4	1	no	—
1436	M₁₆	—	2	2	no	—
1437	M₁₆	—	4	1	no	—
1438	C₂×C₈	—	2	2	no	—
1439	C₂×C₈	—	2	2	no	—
1440	C₂×C₈	—	4	1	no	—
1441	C₂×C₈	—	4	1	no	—
1442	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1443	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1444	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1445	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1446	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1447	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1448	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1449	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1481	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1482	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1483	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1484	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1485	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1486	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1487	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1488	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1489	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1490	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1491	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1492	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
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	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	—	2	1	no	—
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	2	1	no	—
1545	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1546	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1547	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1548	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1549	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1550	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1551	C₂³	—	2	1	no	—
1552	C₂³	—	2	1	no	—
1553	C₂³	—	2	1	no	—
1554	C₂³	—	2	1	no	—
1555	C₂³	—	2	1	no	—
1556	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1557	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1558	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	4	1	no	—
1564	Q₈	—	4	2	no	—
1565	Q₈	—	4	2	no	—
1566	Q₈	—	8	1	no	—
1567	Q₈	C₂×#41×C₆₁	1	2	yes	—
1568	Q₈	C₂×#41×C₆₁	1	2	yes	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	2	1	no	—
1579	D₄	—	4	1	no	—
1580	D₄	—	4	1	no	—
1581	D₄	—	4	1	no	—
1582	D₄	—	4	2	no	—
1583	D₄	—	4	2	no	—
1584	D₄	—	4	2	no	—
1585	D₄	—	4	2	no	—
1586	D₄	—	4	2	no	—
1587	D₄	—	4	2	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	D₄	—	8	1	no	—
1598	D₄	—	8	1	no	—
1599	D₄	—	8	1	no	—
1600	D₄	—	8	1	no	—
1601	D₄	—	8	1	no	—
1602	D₄	—	8	1	no	—
1603	D₄	—	8	1	no	—
1604	D₄	—	8	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	4	1	no	—
1623	C₂×C₄	—	4	1	no	—
1624	C₂×C₄	—	4	2	no	—
1625	C₂×C₄	—	4	2	no	—
1626	C₂×C₄	—	4	2	no	—
1627	C₂×C₄	—	4	2	no	—
1628	C₂×C₄	—	4	2	no	—
1629	C₂×C₄	—	4	2	no	—
1630	C₂×C₄	—	4	2	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	8	1	no	—
1633	C₂×C₄	—	8	1	no	—
1634	C₂×C₄	—	8	1	no	—
1635	C₂×C₄	—	8	1	no	—
1636	C₂×C₄	—	8	1	no	—
1637	C₂×C₄	—	8	1	no	—
1638	C₂×C₄	—	8	1	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1644	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1645	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1646	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1647	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1648	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1649	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1650	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1651	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1652	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1653	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1654	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1655	C₈	—	2	1	no	—
1656	C₈	—	2	1	no	—
1657	C₈	—	2	1	no	—
1658	C₈	—	2	1	no	—
1659	C₈	—	2	1	no	—
1660	C₈	—	2	1	no	—
1661	C₈	—	2	1	no	—
1662	C₈	C₂×#41×C₆₁	1	2	yes	—
1663	C₂²	—	2	1	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	4	1	no	—
1678	C₂²	—	4	1	no	—
1679	C₂²	—	4	1	no	—
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	4	1	no	—
1687	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	2	no	—
1700	C₄	—	2	2	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	C₂²×#41×C₆₁	1	1	yes	characteristic
1711	C₄	C₆₁×#585	1	1	yes	characteristic
1712	C₂	—	4	1	no	—
1713	C₂	—	4	1	no	—
1714	C₂	—	4	1	no	—
1715	C₂	—	8	1	no	—
1716	C₂	—	8	1	no	—
1717	C₂	—	8	1	no	—
1718	C₂	—	8	1	no	—
1719	C₂	—	8	1	no	—
1720	C₂	D₄×#41×C₆₁	1	1	yes	characteristic
1721	C₂	C₆₁×#3584	1	1	yes	characteristic
1722	C₂	C₆₁×#3585	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×#3524	C₂	semidirect
2. C₆₁×#3517	C₂	semidirect
3. C₆₁×#3399	C₂	semidirect
4. C₆₁×#3390	C₂	semidirect
5. C₆₁×#3371	C₂	semidirect
6. C₆₁×#3368	C₂	semidirect
7. C₆₁×#3347	C₂	semidirect
8. C₆₁×#3345	C₂	semidirect
9. C₆₁×#3337	C₂	semidirect
10. C₆₁×#3317	C₂	semidirect
11. C₆₁×#3309	C₂	semidirect
12. C₆₁×#3309	C₂	semidirect
13. C₆₁×#3308	C₂	semidirect
14. C₆₁×#3305	C₂	semidirect
15. C₆₁×#3301	C₂	semidirect
16. C₆₁×#3287	C₂	semidirect
17. C₆₁×#3271	C₂	semidirect
18. C₆₁×#3271	C₂	semidirect
19. C₆₁×#3180	C₂	semidirect
20. C₆₁×#3179	C₂	semidirect
21. C₆₁×#3176	C₂	semidirect
22. C₆₁×#3126	C₂	semidirect
23. C₆₁×#3124	C₂	semidirect
24. C₆₁×#3119	C₂	semidirect
25. C₆₁×#3119	C₂	semidirect
26. C₆₁×#3106	C₂	semidirect
27. C₆₁×#3102	C₂	semidirect
28. C₆₁×#2968	C₂	semidirect
29. C₆₁×#2952	C₂	semidirect
30. C₆₁×#2947	C₂	semidirect
31. C₆₁×#2943	C₂	semidirect
559. Q₁₆×C₆₁	#41	semidirect
801. #61534	C₆₁	direct (N × H)
851. #3524	C₂×C₆₁	semidirect
852. #3517	C₂×C₆₁	semidirect
853. #3399	C₂×C₆₁	semidirect
854. #3390	C₂×C₆₁	semidirect
855. #3371	C₂×C₆₁	semidirect
856. #3368	C₂×C₆₁	semidirect
857. #3347	C₂×C₆₁	semidirect
858. #3345	C₂×C₆₁	semidirect
859. #3337	C₂×C₆₁	semidirect
860. #3317	C₂×C₆₁	semidirect
861. #3309	C₂×C₆₁	semidirect
862. #3309	C₂×C₆₁	semidirect
863. #3308	C₂×C₆₁	semidirect
864. #3305	C₂×C₆₁	semidirect
865. #3301	C₂×C₆₁	semidirect
866. #3287	C₂×C₆₁	semidirect
867. #3271	C₂×C₆₁	semidirect
868. #3271	C₂×C₆₁	semidirect
869. #3180	C₂×C₆₁	semidirect
870. #3179	C₂×C₆₁	semidirect
871. #3176	C₂×C₆₁	semidirect
872. #3126	C₂×C₆₁	semidirect
873. #3124	C₂×C₆₁	semidirect
874. #3119	C₂×C₆₁	semidirect
875. #3119	C₂×C₆₁	semidirect
876. #3106	C₂×C₆₁	semidirect
877. #3102	C₂×C₆₁	semidirect
878. #2968	C₂×C₆₁	semidirect
879. #2952	C₂×C₆₁	semidirect
880. #2947	C₂×C₆₁	semidirect
881. #2943	C₂×C₆₁	semidirect
1064. C₆₁	#61534	direct (N × H)
1421. Q₁₆	#41×C₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₆₁×#3524	2
C₆₁×#3517	2
C₆₁×#3399	2
C₆₁×#3390	2
C₆₁×#3371	2
C₆₁×#3368	2
C₆₁×#3347	2
C₆₁×#3345	2
C₆₁×#3337	2
C₆₁×#3317	2
C₆₁×#3309	2
C₆₁×#3308	2
C₆₁×#3305	2
C₆₁×#3301	2
C₆₁×#3287	2
C₆₁×#3271	2
C₆₁×#3180	2
C₆₁×#3179	2
C₆₁×#3176	2
C₆₁×#3126	2
C₆₁×#3124	2
C₆₁×#3119	2
C₆₁×#3106	2
C₆₁×#3102	2
C₆₁×#2968	2
C₆₁×#2952	2
C₆₁×#2947	2
C₆₁×#2943	2
#61534	61

Subgroups — C61×#61534 #29564967

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61534 #29564967