Subgroups — C₆₁×#62140 #29565573

Order 15616.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3515	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3390	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3349	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3346	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3345	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3339	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3337	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3317	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3256	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3240	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3234	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3232	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#3080	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#3076	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₆₁×#479	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2990	C₂	1	1	yes	maximal, characteristic, complemented
32	C₆₁×#559	—	2	1	no	—
33	C₆₁×#559	C₂²	1	1	yes	characteristic
34	C₆₁×#557	C₂²	1	1	yes	characteristic
35	C₆₁×#557	C₂²	1	1	yes	characteristic
36	C₆₁×#556	—	2	1	no	—
37	C₆₁×#556	C₂²	1	1	yes	characteristic
38	C₆₁×#554	C₂²	1	1	yes	characteristic
39	C₆₁×#554	C₂²	1	1	yes	characteristic
40	C₆₁×#553	—	2	1	no	—
41	C₆₁×#553	—	2	1	no	—
42	C₆₁×#553	C₂²	1	1	yes	characteristic
43	C₆₁×#553	C₂²	1	1	yes	characteristic
44	C₆₁×#553	C₂²	1	1	yes	characteristic
45	C₆₁×#553	C₂²	1	1	yes	characteristic
46	C₆₁×#552	—	2	1	no	—
47	C₆₁×#552	—	2	1	no	—
48	C₆₁×#552	—	2	1	no	—
49	C₆₁×#552	C₂²	1	1	yes	characteristic
50	C₆₁×#552	C₂²	1	1	yes	characteristic
51	C₆₁×#550	C₂²	1	1	yes	characteristic
52	C₆₁×#548	C₂²	1	1	yes	characteristic
53	C₆₁×#548	C₂²	1	1	yes	characteristic
54	C₆₁×#547	—	2	1	no	—
55	C₆₁×#547	C₂²	1	1	yes	characteristic
56	C₆₁×#541	—	2	1	no	—
57	C₆₁×#539	—	2	1	no	—
58	C₆₁×#539	—	2	1	no	—
59	C₆₁×#533	C₂²	1	1	yes	characteristic
60	C₆₁×#532	—	2	1	no	—
61	C₆₁×#532	C₂²	1	1	yes	characteristic
62	C₆₁×#529	—	2	1	no	—
63	C₆₁×#529	—	2	1	no	—
64	C₆₁×#529	C₂²	1	1	yes	characteristic
65	C₆₁×#529	C₂²	1	1	yes	characteristic
66	C₆₁×#529	C₂²	1	1	yes	characteristic
67	C₆₁×#529	C₂²	1	1	yes	characteristic
68	C₆₁×#529	C₂²	1	1	yes	characteristic
69	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic
70	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic
71	C₆₁×#520	—	2	1	no	—
72	C₄×#41×C₆₁	—	2	1	no	—
73	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
74	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
75	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
77	C₆₁×#501	C₂²	1	1	yes	characteristic
78	C₆₁×#501	C₂²	1	1	yes	characteristic
79	C₆₁×#501	C₂²	1	1	yes	characteristic
80	C₆₁×#501	C₂²	1	1	yes	characteristic
81	C₆₁×#499	C₂²	1	1	yes	characteristic
82	C₆₁×#499	C₂²	1	1	yes	characteristic
83	C₆₁×#490	C₂²	1	1	yes	characteristic
84	C₆₁×#490	C₂²	1	1	yes	characteristic
85	C₆₁×#489	C₂²	1	1	yes	characteristic
86	C₆₁×#489	C₂²	1	1	yes	characteristic
87	C₆₁×#488	C₂²	1	1	yes	characteristic
88	C₆₁×#488	C₂²	1	1	yes	characteristic
89	C₆₁×#485	C₂²	1	1	yes	characteristic
90	C₆₁×#485	C₂²	1	1	yes	characteristic
91	C₆₁×#485	C₂²	1	1	yes	characteristic
92	C₆₁×#485	C₂²	1	1	yes	characteristic
93	C₆₁×#484	C₂²	1	1	yes	characteristic
94	C₆₁×#484	C₂²	1	1	yes	characteristic
95	C₆₁×#483	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×#482	C₂²	1	1	yes	characteristic
100	C₆₁×#481	C₂²	1	1	yes	characteristic
101	C₆₁×#481	C₂²	1	1	yes	characteristic
102	C₆₁×#481	C₂²	1	1	yes	characteristic
103	C₆₁×#481	C₂²	1	1	yes	characteristic
104	C₆₁×#480	C₂²	1	1	yes	characteristic
105	C₆₁×#480	C₂²	1	1	yes	characteristic
106	C₆₁×#480	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×#479	C₂²	1	1	yes	characteristic
112	C₆₁×#479	C₂²	1	1	yes	characteristic
113	C₆₁×#479	C₂²	1	1	yes	characteristic
114	C₆₁×#479	C₂²	1	1	yes	characteristic
115	C₆₁×#479	C₂²	1	1	yes	characteristic
116	C₆₁×#479	C₂²	1	1	yes	characteristic
117	C₆₁×#479	C₂²	1	1	yes	characteristic
118	C₆₁×#479	C₂²	1	1	yes	characteristic
119	C₆₁×#479	C₂²	1	1	yes	characteristic
120	C₆₁×#479	C₂²	1	1	yes	characteristic
121	C₆₁×#478	C₂²	1	1	yes	characteristic
122	C₆₁×#478	C₂²	1	1	yes	characteristic
123	C₆₁×#478	C₂²	1	1	yes	characteristic
124	C₆₁×#478	C₂²	1	1	yes	characteristic
125	C₆₁×#478	C₂²	1	1	yes	characteristic
126	C₆₁×#478	C₂²	1	1	yes	characteristic
127	C₆₁×#478	C₂²	1	1	yes	characteristic
128	C₆₁×#478	C₂²	1	1	yes	characteristic
129	C₆₁×#478	C₂²	1	1	yes	characteristic
130	C₆₁×#478	C₂²	1	1	yes	characteristic
131	C₆₁×#477	C₂²	1	1	yes	characteristic
132	C₆₁×#477	C₂²	1	1	yes	characteristic
133	C₆₁×#476	C₂²	1	1	yes	characteristic
134	C₆₁×#476	C₂²	1	1	yes	characteristic
135	C₆₁×#475	C₂²	1	1	yes	characteristic
136	C₆₁×#474	C₂²	1	1	yes	characteristic
137	C₆₁×#470	C₂²	1	1	yes	characteristic
138	C₆₁×#469	C₂²	1	1	yes	characteristic
139	C₆₁×#468	C₂²	1	1	yes	characteristic
140	C₆₁×#468	C₂²	1	1	yes	characteristic
141	C₆₁×#467	C₂²	1	1	yes	characteristic
142	C₆₁×#466	C₂²	1	1	yes	characteristic
143	C₆₁×#466	C₂²	1	1	yes	characteristic
144	C₆₁×#466	C₂²	1	1	yes	characteristic
145	C₆₁×#465	C₂²	1	1	yes	characteristic
146	C₆₁×#465	C₂²	1	1	yes	characteristic
147	C₆₁×#465	C₂²	1	1	yes	characteristic
148	C₆₁×#465	C₂²	1	1	yes	characteristic
149	C₆₁×#464	C₂²	1	1	yes	characteristic
150	C₆₁×#464	C₂²	1	1	yes	characteristic
151	C₆₁×#464	C₂²	1	1	yes	characteristic
152	C₆₁×#464	C₂²	1	1	yes	characteristic
153	C₆₁×#463	C₂²	1	1	yes	characteristic
154	C₆₁×#463	C₂²	1	1	yes	characteristic
155	C₆₁×#463	C₂²	1	1	yes	characteristic
156	C₆₁×#463	C₂²	1	1	yes	characteristic
157	C₆₁×#460	C₂²	1	1	yes	characteristic
158	C₆₁×#459	C₂²	1	1	yes	characteristic
159	C₆₁×#452	C₂²	1	1	yes	characteristic
160	C₆₁×#452	C₂²	1	1	yes	characteristic
161	C₆₁×#451	C₂²	1	1	yes	characteristic
162	C₆₁×#449	C₂²	1	1	yes	characteristic
163	C₆₁×#449	C₂²	1	1	yes	characteristic
164	C₆₁×#448	C₂²	1	1	yes	characteristic
165	C₆₁×#446	C₂²	1	1	yes	characteristic
166	C₆₁×#446	C₂²	1	1	yes	characteristic
167	C₆₁×#442	C₂²	1	1	yes	characteristic
168	C₆₁×#441	C₂²	1	1	yes	characteristic
169	C₆₁×#441	C₂²	1	1	yes	characteristic
170	C₆₁×#441	C₂²	1	1	yes	characteristic
171	C₆₁×#440	C₂²	1	1	yes	characteristic
172	C₆₁×#440	C₂²	1	1	yes	characteristic
173	C₆₁×#440	C₂²	1	1	yes	characteristic
174	C₆₁×#440	C₂²	1	1	yes	characteristic
175	C₄×Q₁₆×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×D₈×C₆₁	C₂²	1	1	yes	characteristic
179	C₆₁×#435	C₂²	1	1	yes	characteristic
180	C₆₁×#435	C₂²	1	1	yes	characteristic
181	C₆₁×#435	C₂²	1	1	yes	characteristic
182	C₆₁×#435	C₂²	1	1	yes	characteristic
183	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
185	C₆₁×#432	C₂²	1	1	yes	characteristic
186	C₆₁×#432	C₂²	1	1	yes	characteristic
187	C₆₁×#431	C₂²	1	1	yes	characteristic
188	C₆₁×#428	C₂²	1	1	yes	characteristic
189	C₆₁×#428	C₂²	1	1	yes	characteristic
190	C₆₁×#427	C₂²	1	1	yes	characteristic
191	C₆₁×#427	C₂²	1	1	yes	characteristic
192	C₂×#107×C₆₁	C₂²	1	1	yes	characteristic
193	C₂×#106×C₆₁	C₂²	1	1	yes	characteristic
194	C₆₁×#423	C₂²	1	1	yes	characteristic
195	C₂×C₄⋊C₈×C₆₁	C₂²	1	1	yes	characteristic
196	C₂×C₄⋊C₈×C₆₁	C₂²	1	1	yes	characteristic
197	C₆₁×#417	C₂²	1	1	yes	characteristic
198	C₆₁×#417	C₂²	1	1	yes	characteristic
199	C₆₁×#416	C₂²	1	1	yes	characteristic
200	C₆₁×#416	C₂²	1	1	yes	characteristic
201	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
202	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
203	C₂×#41×C₆₁	—	2	1	no	—
204	C₂×#41×C₆₁	—	2	1	no	—
205	C₂×#41×C₆₁	D₄	1	1	yes	characteristic
206	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
209	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
211	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
212	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
215	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
216	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
217	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
223	C₄⋊Q₈×C₆₁	—	2	1	no	—
224	C₄⋊Q₈×C₆₁	—	2	1	no	—
225	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
226	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
227	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
228	#127×C₆₁	—	2	1	no	—
229	#127×C₆₁	C₂³	1	1	yes	characteristic
230	#126×C₆₁	—	2	1	no	—
231	#126×C₆₁	—	2	1	no	—
232	#126×C₆₁	—	2	1	no	—
233	#126×C₆₁	—	2	1	no	—
234	#126×C₆₁	—	2	1	no	—
235	#126×C₆₁	—	2	1	no	—
236	#126×C₆₁	—	2	1	no	—
237	#126×C₆₁	—	2	1	no	—
238	#126×C₆₁	—	2	1	no	—
239	#126×C₆₁	—	2	1	no	—
240	#126×C₆₁	—	2	1	no	—
241	#126×C₆₁	—	2	1	no	—
242	#126×C₆₁	—	2	1	no	—
243	#125×C₆₁	—	2	1	no	—
244	#125×C₆₁	—	2	1	no	—
245	#125×C₆₁	—	2	1	no	—
246	#125×C₆₁	—	2	1	no	—
247	#125×C₆₁	—	2	1	no	—
248	#125×C₆₁	—	2	1	no	—
249	#125×C₆₁	—	2	1	no	—
250	#125×C₆₁	—	2	1	no	—
251	#125×C₆₁	—	2	1	no	—
252	#125×C₆₁	—	2	1	no	—
253	#125×C₆₁	—	2	1	no	—
254	#125×C₆₁	C₂³	1	1	yes	characteristic
255	#125×C₆₁	C₂³	1	1	yes	characteristic
256	#125×C₆₁	C₂³	1	1	yes	characteristic
257	#125×C₆₁	C₂³	1	1	yes	characteristic
258	#125×C₆₁	C₂³	1	1	yes	characteristic
259	#125×C₆₁	C₂³	1	1	yes	characteristic
260	#125×C₆₁	C₂³	1	1	yes	characteristic
261	#125×C₆₁	C₂³	1	1	yes	characteristic
262	#125×C₆₁	C₂³	1	1	yes	characteristic
263	#124×C₆₁	—	2	1	no	—
264	#124×C₆₁	—	2	1	no	—
265	#124×C₆₁	—	2	1	no	—
266	#124×C₆₁	—	2	1	no	—
267	#124×C₆₁	—	2	1	no	—
268	#124×C₆₁	C₂³	1	1	yes	characteristic
269	#124×C₆₁	C₂³	1	1	yes	characteristic
270	#124×C₆₁	C₂³	1	1	yes	characteristic
271	#123×C₆₁	—	2	1	no	—
272	#123×C₆₁	—	2	1	no	—
273	#123×C₆₁	—	2	1	no	—
274	#123×C₆₁	—	2	1	no	—
275	#123×C₆₁	—	2	1	no	—
276	#123×C₆₁	—	2	1	no	—
277	#123×C₆₁	—	2	1	no	—
278	#123×C₆₁	—	2	1	no	—
279	#123×C₆₁	—	2	1	no	—
280	#123×C₆₁	—	2	1	no	—
281	#123×C₆₁	—	2	1	no	—
282	#123×C₆₁	—	2	1	no	—
283	#123×C₆₁	—	2	1	no	—
284	#123×C₆₁	—	2	1	no	—
285	#123×C₆₁	—	2	1	no	—
286	C₂²⋊Q₈×C₆₁	—	2	1	no	—
287	C₂²⋊Q₈×C₆₁	—	2	1	no	—
288	C₂²⋊Q₈×C₆₁	—	2	1	no	—
289	C₂²⋊Q₈×C₆₁	—	2	1	no	—
290	C₂²⋊Q₈×C₆₁	—	2	1	no	—
291	C₂²⋊Q₈×C₆₁	—	2	1	no	—
292	C₂²⋊Q₈×C₆₁	—	2	1	no	—
293	C₂²⋊Q₈×C₆₁	—	2	1	no	—
294	C₂²⋊Q₈×C₆₁	—	2	1	no	—
295	C₂²⋊Q₈×C₆₁	—	2	1	no	—
296	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
297	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
298	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
299	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
300	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
301	#121×C₆₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
311	#121×C₆₁	C₂³	1	1	yes	characteristic
312	#121×C₆₁	C₂³	1	1	yes	characteristic
313	#121×C₆₁	C₂³	1	1	yes	characteristic
314	#121×C₆₁	C₂³	1	1	yes	characteristic
315	#121×C₆₁	C₂³	1	1	yes	characteristic
316	#121×C₆₁	C₂³	1	1	yes	characteristic
317	C₄×Q₈×C₆₁	—	2	1	no	—
318	C₄×Q₈×C₆₁	—	2	1	no	—
319	C₄×Q₈×C₆₁	—	2	1	no	—
320	C₄×Q₈×C₆₁	—	2	1	no	—
321	C₄×Q₈×C₆₁	—	2	1	no	—
322	C₄×Q₈×C₆₁	—	2	1	no	—
323	C₄×Q₈×C₆₁	—	2	1	no	—
324	C₄×Q₈×C₆₁	D₄	1	1	yes	characteristic
325	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
327	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
328	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
330	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
331	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
335	C₄×D₄×C₆₁	—	2	1	no	—
336	C₄×D₄×C₆₁	—	2	1	no	—
337	C₄×D₄×C₆₁	—	2	1	no	—
338	C₄×D₄×C₆₁	—	2	1	no	—
339	C₄×D₄×C₆₁	—	2	1	no	—
340	C₄×D₄×C₆₁	—	2	1	no	—
341	C₄×D₄×C₆₁	—	2	1	no	—
342	C₄×D₄×C₆₁	—	2	1	no	—
343	C₄×D₄×C₆₁	—	2	1	no	—
344	C₄×D₄×C₆₁	—	2	1	no	—
345	C₄×D₄×C₆₁	—	2	1	no	—
346	C₄×D₄×C₆₁	—	2	1	no	—
347	C₄×D₄×C₆₁	—	2	1	no	—
348	C₄×D₄×C₆₁	—	2	1	no	—
349	C₄×D₄×C₆₁	—	2	1	no	—
350	C₄×D₄×C₆₁	—	2	1	no	—
351	C₄×D₄×C₆₁	—	2	1	no	—
352	C₄×D₄×C₆₁	—	2	1	no	—
353	C₄×D₄×C₆₁	—	2	1	no	—
354	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
355	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
356	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
357	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
358	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
367	#117×C₆₁	—	2	1	no	—
368	#117×C₆₁	—	2	1	no	—
369	#117×C₆₁	—	2	1	no	—
370	#117×C₆₁	—	2	1	no	—
371	#117×C₆₁	—	2	1	no	—
372	#117×C₆₁	—	2	1	no	—
373	#117×C₆₁	—	2	1	no	—
374	#117×C₆₁	—	2	1	no	—
375	#117×C₆₁	—	2	1	no	—
376	#117×C₆₁	D₄	1	1	yes	characteristic
377	#117×C₆₁	D₄	1	1	yes	characteristic
378	#117×C₆₁	D₄	1	1	yes	characteristic
379	#117×C₆₁	C₂³	1	1	yes	characteristic
380	#117×C₆₁	C₂³	1	1	yes	characteristic
381	#117×C₆₁	C₂³	1	1	yes	characteristic
382	#117×C₆₁	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
384	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
385	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
386	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
387	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
388	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
389	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
394	C₂×C₄²×C₆₁	—	2	1	no	—
395	C₂×C₄²×C₆₁	—	2	1	no	—
396	C₂×C₄²×C₆₁	—	2	1	no	—
397	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
398	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
399	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
400	#107×C₆₁	C₂³	1	1	yes	characteristic
401	#107×C₆₁	C₂³	1	1	yes	characteristic
402	#107×C₆₁	C₂³	1	1	yes	characteristic
403	#107×C₆₁	C₂³	1	1	yes	characteristic
404	#107×C₆₁	C₂³	1	1	yes	characteristic
405	#107×C₆₁	C₂³	1	1	yes	characteristic
406	#107×C₆₁	C₂³	1	1	yes	characteristic
407	#107×C₆₁	C₂³	1	1	yes	characteristic
408	#107×C₆₁	C₂³	1	1	yes	characteristic
409	#107×C₆₁	C₂³	1	1	yes	characteristic
410	#107×C₆₁	C₂³	1	1	yes	characteristic
411	#107×C₆₁	C₂³	1	1	yes	characteristic
412	#106×C₆₁	C₂³	1	1	yes	characteristic
413	#106×C₆₁	C₂³	1	1	yes	characteristic
414	#106×C₆₁	C₂³	1	1	yes	characteristic
415	#106×C₆₁	C₂³	1	1	yes	characteristic
416	#106×C₆₁	C₂³	1	1	yes	characteristic
417	#106×C₆₁	C₂³	1	1	yes	characteristic
418	#106×C₆₁	C₂³	1	1	yes	characteristic
419	#106×C₆₁	C₂³	1	1	yes	characteristic
420	#106×C₆₁	C₂³	1	1	yes	characteristic
421	#106×C₆₁	C₂³	1	1	yes	characteristic
422	#106×C₆₁	C₂³	1	1	yes	characteristic
423	#106×C₆₁	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
430	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	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
434	#103×C₆₁	C₂³	1	1	yes	characteristic
435	#103×C₆₁	C₂³	1	1	yes	characteristic
436	#103×C₆₁	C₂³	1	1	yes	characteristic
437	#103×C₆₁	C₂³	1	1	yes	characteristic
438	#103×C₆₁	C₂³	1	1	yes	characteristic
439	#103×C₆₁	C₂³	1	1	yes	characteristic
440	#103×C₆₁	C₂³	1	1	yes	characteristic
441	#103×C₆₁	C₂³	1	1	yes	characteristic
442	#103×C₆₁	C₂³	1	1	yes	characteristic
443	#103×C₆₁	C₂³	1	1	yes	characteristic
444	#103×C₆₁	C₂³	1	1	yes	characteristic
445	#103×C₆₁	C₂³	1	1	yes	characteristic
446	#103×C₆₁	C₂³	1	1	yes	characteristic
447	#103×C₆₁	C₂³	1	1	yes	characteristic
448	#103×C₆₁	C₂³	1	1	yes	characteristic
449	#103×C₆₁	C₂³	1	1	yes	characteristic
450	#102×C₆₁	C₂³	1	1	yes	characteristic
451	#102×C₆₁	C₂³	1	1	yes	characteristic
452	#102×C₆₁	C₂³	1	1	yes	characteristic
453	#102×C₆₁	C₂³	1	1	yes	characteristic
454	#102×C₆₁	C₂³	1	1	yes	characteristic
455	#102×C₆₁	C₂³	1	1	yes	characteristic
456	#102×C₆₁	C₂³	1	1	yes	characteristic
457	#102×C₆₁	C₂³	1	1	yes	characteristic
458	#102×C₆₁	C₂³	1	1	yes	characteristic
459	#102×C₆₁	C₂³	1	1	yes	characteristic
460	#102×C₆₁	C₂³	1	1	yes	characteristic
461	#102×C₆₁	C₂³	1	1	yes	characteristic
462	#102×C₆₁	C₂³	1	1	yes	characteristic
463	#102×C₆₁	C₂³	1	1	yes	characteristic
464	#102×C₆₁	C₂³	1	1	yes	characteristic
465	#102×C₆₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
472	#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	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
478	#41×C₆₁	—	2	2	no	—
479	#41×C₆₁	—	2	2	no	—
480	#41×C₆₁	—	4	2	no	—
481	#41×C₆₁	—	4	1	no	—
482	#41×C₆₁	—	4	1	no	—
483	#41×C₆₁	—	4	4	no	—
484	#41×C₆₁	—	4	4	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	2	no	—
490	C₂×Q₈×C₆₁	—	4	1	no	—
491	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₆₁	—	2	1	no	—
496	C₂×D₄×C₆₁	—	2	1	no	—
497	C₂×D₄×C₆₁	—	2	1	no	—
498	C₂×D₄×C₆₁	—	2	1	no	—
499	C₂×D₄×C₆₁	—	2	1	no	—
500	C₂×D₄×C₆₁	—	2	1	no	—
501	C₂×D₄×C₆₁	—	2	1	no	—
502	C₂×D₄×C₆₁	—	2	1	no	—
503	C₂×D₄×C₆₁	—	2	1	no	—
504	C₂×D₄×C₆₁	—	2	1	no	—
505	C₂×D₄×C₆₁	—	2	1	no	—
506	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₆₁	—	2	1	no	—
513	C₂²×C₄×C₆₁	—	2	1	no	—
514	C₂²×C₄×C₆₁	—	2	1	no	—
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	—	2	1	no	—
527	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
533	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
536	Q₁₆×C₆₁	—	2	2	no	—
537	Q₁₆×C₆₁	—	4	1	no	—
538	SD₁₆×C₆₁	—	2	2	no	—
539	SD₁₆×C₆₁	—	4	1	no	—
540	SD₁₆×C₆₁	—	4	1	no	—
541	SD₁₆×C₆₁	—	4	1	no	—
542	D₈×C₆₁	—	4	1	no	—
543	D₈×C₆₁	—	4	1	no	—
544	M₁₆×C₆₁	—	4	1	no	—
545	M₁₆×C₆₁	—	4	1	no	—
546	C₂×C₈×C₆₁	—	4	1	no	—
547	C₂×C₈×C₆₁	—	4	1	no	—
548	C₂×C₈×C₆₁	—	4	1	no	—
549	C₂×C₈×C₆₁	—	4	1	no	—
550	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₆₁	—	2	1	no	—
559	C₄⋊C₄×C₆₁	—	2	1	no	—
560	C₄⋊C₄×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
605	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
614	C₂²⋊C₄×C₆₁	—	2	1	no	—
615	C₂²⋊C₄×C₆₁	—	2	1	no	—
616	C₂²⋊C₄×C₆₁	—	2	1	no	—
617	C₂²⋊C₄×C₆₁	—	2	1	no	—
618	C₂²⋊C₄×C₆₁	—	2	1	no	—
619	C₂²⋊C₄×C₆₁	—	2	1	no	—
620	C₂²⋊C₄×C₆₁	—	2	1	no	—
621	C₂²⋊C₄×C₆₁	—	2	1	no	—
622	C₂²⋊C₄×C₆₁	—	2	1	no	—
623	C₂²⋊C₄×C₆₁	—	2	1	no	—
624	C₂²⋊C₄×C₆₁	—	2	1	no	—
625	C₂²⋊C₄×C₆₁	—	2	1	no	—
626	C₂²⋊C₄×C₆₁	—	2	1	no	—
627	C₂²⋊C₄×C₆₁	—	2	1	no	—
628	C₂²⋊C₄×C₆₁	—	2	1	no	—
629	C₂²⋊C₄×C₆₁	—	2	1	no	—
630	C₂²⋊C₄×C₆₁	—	2	1	no	—
631	C₂²⋊C₄×C₆₁	—	2	1	no	—
632	C₂²⋊C₄×C₆₁	—	2	1	no	—
633	C₂²⋊C₄×C₆₁	—	2	1	no	—
634	C₂²⋊C₄×C₆₁	—	2	1	no	—
635	C₂²⋊C₄×C₆₁	—	2	1	no	—
636	C₂²⋊C₄×C₆₁	—	2	1	no	—
637	C₂²⋊C₄×C₆₁	—	2	1	no	—
638	C₂²⋊C₄×C₆₁	—	2	1	no	—
639	C₂²⋊C₄×C₆₁	—	2	1	no	—
640	C₂²⋊C₄×C₆₁	—	2	1	no	—
641	C₂²⋊C₄×C₆₁	—	2	1	no	—
642	C₂²⋊C₄×C₆₁	—	2	1	no	—
643	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
649	C₄²×C₆₁	—	2	1	no	—
650	C₄²×C₆₁	—	2	1	no	—
651	C₄²×C₆₁	—	2	1	no	—
652	C₄²×C₆₁	—	2	1	no	—
653	C₄²×C₆₁	—	2	1	no	—
654	C₄²×C₆₁	—	2	1	no	—
655	C₄²×C₆₁	—	2	1	no	—
656	C₄²×C₆₁	—	2	1	no	—
657	C₄²×C₆₁	—	2	1	no	—
658	C₄²×C₆₁	—	2	1	no	—
659	C₄²×C₆₁	—	2	1	no	—
660	C₄²×C₆₁	—	2	1	no	—
661	C₄²×C₆₁	—	2	1	no	—
662	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
663	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
666	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
669	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
670	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
671	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
672	C₂³×C₆₁	—	2	1	no	—
673	C₂³×C₆₁	—	2	1	no	—
674	C₂³×C₆₁	—	2	1	no	—
675	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
676	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
677	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
678	Q₈×C₆₁	—	2	1	no	—
679	Q₈×C₆₁	—	2	1	no	—
680	Q₈×C₆₁	—	2	1	no	—
681	Q₈×C₆₁	—	2	1	no	—
682	Q₈×C₆₁	—	2	1	no	—
683	Q₈×C₆₁	—	4	1	no	—
684	Q₈×C₆₁	—	4	2	no	—
685	Q₈×C₆₁	—	4	2	no	—
686	Q₈×C₆₁	—	4	2	no	—
687	Q₈×C₆₁	—	8	1	no	—
688	Q₈×C₆₁	2₋¹⁺⁴	1	2	yes	—
689	D₄×C₆₁	—	2	2	no	—
690	D₄×C₆₁	—	2	2	no	—
691	D₄×C₆₁	—	2	1	no	—
692	D₄×C₆₁	—	2	1	no	—
693	D₄×C₆₁	—	2	1	no	—
694	D₄×C₆₁	—	2	1	no	—
695	D₄×C₆₁	—	2	1	no	—
696	D₄×C₆₁	—	2	1	no	—
697	D₄×C₆₁	—	4	1	no	—
698	D₄×C₆₁	—	4	2	no	—
699	D₄×C₆₁	—	4	2	no	—
700	D₄×C₆₁	—	4	2	no	—
701	D₄×C₆₁	—	4	2	no	—
702	D₄×C₆₁	—	4	2	no	—
703	D₄×C₆₁	—	4	2	no	—
704	D₄×C₆₁	—	4	2	no	—
705	D₄×C₆₁	—	8	1	no	—
706	D₄×C₆₁	—	8	1	no	—
707	D₄×C₆₁	—	8	1	no	—
708	D₄×C₆₁	—	8	1	no	—
709	C₂×C₄×C₆₁	—	2	2	no	—
710	C₂×C₄×C₆₁	—	2	1	no	—
711	C₂×C₄×C₆₁	—	2	1	no	—
712	C₂×C₄×C₆₁	—	2	1	no	—
713	C₂×C₄×C₆₁	—	2	1	no	—
714	C₂×C₄×C₆₁	—	2	1	no	—
715	C₂×C₄×C₆₁	—	2	1	no	—
716	C₂×C₄×C₆₁	—	2	1	no	—
717	C₂×C₄×C₆₁	—	2	1	no	—
718	C₂×C₄×C₆₁	—	2	1	no	—
719	C₂×C₄×C₆₁	—	2	1	no	—
720	C₂×C₄×C₆₁	—	2	1	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	—	4	1	no	—
730	C₂×C₄×C₆₁	—	4	1	no	—
731	C₂×C₄×C₆₁	—	4	1	no	—
732	C₂×C₄×C₆₁	—	4	1	no	—
733	C₂×C₄×C₆₁	—	4	1	no	—
734	C₂×C₄×C₆₁	—	4	2	no	—
735	C₂×C₄×C₆₁	—	4	2	no	—
736	C₂×C₄×C₆₁	—	4	2	no	—
737	C₂×C₄×C₆₁	—	4	2	no	—
738	C₂×C₄×C₆₁	—	4	2	no	—
739	C₂×C₄×C₆₁	—	4	2	no	—
740	C₂×C₄×C₆₁	—	4	2	no	—
741	C₂×C₄×C₆₁	—	4	2	no	—
742	C₂×C₄×C₆₁	—	8	1	no	—
743	C₂×C₄×C₆₁	—	8	1	no	—
744	C₂×C₄×C₆₁	—	8	1	no	—
745	C₂×C₄×C₆₁	—	8	1	no	—
746	C₂×C₄×C₆₁	—	8	1	no	—
747	C₂×C₄×C₆₁	—	8	1	no	—
748	C₂×C₄×C₆₁	—	8	1	no	—
749	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
761	C₈×C₆₁	—	2	1	no	—
762	C₈×C₆₁	—	2	1	no	—
763	C₈×C₆₁	—	2	1	no	—
764	C₈×C₆₁	—	2	1	no	—
765	C₈×C₆₁	—	2	1	no	—
766	C₈×C₆₁	—	2	1	no	—
767	C₈×C₆₁	—	2	1	no	—
768	C₈×C₆₁	—	2	1	no	—
769	#62140	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
770	C₂²×C₆₁	—	2	1	no	—
771	C₂²×C₆₁	—	2	1	no	—
772	C₂²×C₆₁	—	2	1	no	—
773	C₂²×C₆₁	—	2	1	no	—
774	C₂²×C₆₁	—	2	1	no	—
775	C₂²×C₆₁	—	2	1	no	—
776	C₂²×C₆₁	—	2	1	no	—
777	C₂²×C₆₁	—	2	1	no	—
778	C₂²×C₆₁	—	4	1	no	—
779	C₂²×C₆₁	—	4	1	no	—
780	C₂²×C₆₁	—	4	1	no	—
781	C₂²×C₆₁	—	4	1	no	—
782	C₂²×C₆₁	—	4	1	no	—
783	C₂²×C₆₁	—	4	1	no	—
784	C₂²×C₆₁	—	4	1	no	—
785	C₂²×C₆₁	—	4	1	no	—
786	C₂²×C₆₁	—	4	1	no	—
787	C₂²×C₆₁	#575	1	2	yes	—
788	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
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	1	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
814	C₄×C₆₁	#585	1	1	yes	characteristic
815	#3515	C₂×C₆₁	1	1	yes	characteristic, complemented
816	#3480	C₂×C₆₁	1	1	yes	characteristic, complemented
817	#3390	C₂×C₆₁	1	1	yes	characteristic, complemented
818	#3388	C₂×C₆₁	1	1	yes	characteristic, complemented
819	#3371	C₂×C₆₁	1	1	yes	characteristic, complemented
820	#3370	C₂×C₆₁	1	1	yes	characteristic, complemented
821	#3350	C₂×C₆₁	1	1	yes	characteristic, complemented
822	#3349	C₂×C₆₁	1	1	yes	characteristic, complemented
823	#3346	C₂×C₆₁	1	1	yes	characteristic, complemented
824	#3345	C₂×C₆₁	1	1	yes	characteristic, complemented
825	#3339	C₂×C₆₁	1	1	yes	characteristic, complemented
826	#3337	C₂×C₆₁	1	1	yes	characteristic, complemented
827	#3317	C₂×C₆₁	1	1	yes	characteristic, complemented
828	#3316	C₂×C₆₁	1	1	yes	characteristic, complemented
829	#3309	C₂×C₆₁	1	1	yes	characteristic, complemented
830	#3308	C₂×C₆₁	1	1	yes	characteristic, complemented
831	#3301	C₂×C₆₁	1	1	yes	characteristic, complemented
832	#3300	C₂×C₆₁	1	1	yes	characteristic, complemented
833	#3256	C₂×C₆₁	1	1	yes	characteristic, complemented
834	#3250	C₂×C₆₁	1	1	yes	characteristic, complemented
835	#3247	C₂×C₆₁	1	1	yes	characteristic, complemented
836	#3240	C₂×C₆₁	1	1	yes	characteristic, complemented
837	#3234	C₂×C₆₁	1	1	yes	characteristic, complemented
838	#3232	C₂×C₆₁	1	1	yes	characteristic, complemented
839	#3117	C₂×C₆₁	1	1	yes	characteristic, complemented
840	#3111	C₂×C₆₁	1	1	yes	characteristic, complemented
841	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
842	#3080	C₂×C₆₁	1	1	yes	characteristic, complemented
843	#3076	C₂×C₆₁	1	1	yes	characteristic, complemented
844	C₂×#479	C₂×C₆₁	1	1	yes	characteristic, complemented
845	#2990	C₂×C₆₁	1	1	yes	characteristic, complemented
846	C₂×C₆₁	—	2	2	no	—
847	C₂×C₆₁	—	4	1	no	—
848	C₂×C₆₁	—	4	1	no	—
849	C₂×C₆₁	—	8	1	no	—
850	C₂×C₆₁	—	8	1	no	—
851	C₂×C₆₁	—	8	1	no	—
852	C₂×C₆₁	#3489	1	1	yes	characteristic
853	C₂×C₆₁	C₂×#575	1	1	yes	characteristic
854	C₂×C₆₁	#3584	1	1	yes	characteristic
855	#559	—	2	1	no	—
856	#559	C₂²×C₆₁	1	1	yes	characteristic
857	#557	C₂²×C₆₁	1	1	yes	characteristic
858	#557	C₂²×C₆₁	1	1	yes	characteristic
859	#556	—	2	1	no	—
860	#556	C₂²×C₆₁	1	1	yes	characteristic
861	#554	C₂²×C₆₁	1	1	yes	characteristic
862	#554	C₂²×C₆₁	1	1	yes	characteristic
863	#553	—	2	1	no	—
864	#553	—	2	1	no	—
865	#553	C₂²×C₆₁	1	1	yes	characteristic
866	#553	C₂²×C₆₁	1	1	yes	characteristic
867	#553	C₂²×C₆₁	1	1	yes	characteristic
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	#550	C₂²×C₆₁	1	1	yes	characteristic
875	#548	C₂²×C₆₁	1	1	yes	characteristic
876	#548	C₂²×C₆₁	1	1	yes	characteristic
877	#547	—	2	1	no	—
878	#547	C₂²×C₆₁	1	1	yes	characteristic
879	#541	—	2	1	no	—
880	#539	—	2	1	no	—
881	#539	—	2	1	no	—
882	#533	C₂²×C₆₁	1	1	yes	characteristic
883	#532	—	2	1	no	—
884	#532	C₂²×C₆₁	1	1	yes	characteristic
885	#529	—	2	1	no	—
886	#529	—	2	1	no	—
887	#529	C₂²×C₆₁	1	1	yes	characteristic
888	#529	C₂²×C₆₁	1	1	yes	characteristic
889	#529	C₂²×C₆₁	1	1	yes	characteristic
890	#529	C₂²×C₆₁	1	1	yes	characteristic
891	#529	C₂²×C₆₁	1	1	yes	characteristic
892	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic
893	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic
894	#520	—	2	1	no	—
895	C₄×#41	—	2	1	no	—
896	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
897	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
898	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
899	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
900	#501	C₂²×C₆₁	1	1	yes	characteristic
901	#501	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	#499	C₂²×C₆₁	1	1	yes	characteristic
906	#490	C₂²×C₆₁	1	1	yes	characteristic
907	#490	C₂²×C₆₁	1	1	yes	characteristic
908	#489	C₂²×C₆₁	1	1	yes	characteristic
909	#489	C₂²×C₆₁	1	1	yes	characteristic
910	#488	C₂²×C₆₁	1	1	yes	characteristic
911	#488	C₂²×C₆₁	1	1	yes	characteristic
912	#485	C₂²×C₆₁	1	1	yes	characteristic
913	#485	C₂²×C₆₁	1	1	yes	characteristic
914	#485	C₂²×C₆₁	1	1	yes	characteristic
915	#485	C₂²×C₆₁	1	1	yes	characteristic
916	#484	C₂²×C₆₁	1	1	yes	characteristic
917	#484	C₂²×C₆₁	1	1	yes	characteristic
918	#483	C₂²×C₆₁	1	1	yes	characteristic
919	#482	C₂²×C₆₁	1	1	yes	characteristic
920	#482	C₂²×C₆₁	1	1	yes	characteristic
921	#482	C₂²×C₆₁	1	1	yes	characteristic
922	#482	C₂²×C₆₁	1	1	yes	characteristic
923	#481	C₂²×C₆₁	1	1	yes	characteristic
924	#481	C₂²×C₆₁	1	1	yes	characteristic
925	#481	C₂²×C₆₁	1	1	yes	characteristic
926	#481	C₂²×C₆₁	1	1	yes	characteristic
927	#480	C₂²×C₆₁	1	1	yes	characteristic
928	#480	C₂²×C₆₁	1	1	yes	characteristic
929	#480	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	#479	C₂²×C₆₁	1	1	yes	characteristic
934	#479	C₂²×C₆₁	1	1	yes	characteristic
935	#479	C₂²×C₆₁	1	1	yes	characteristic
936	#479	C₂²×C₆₁	1	1	yes	characteristic
937	#479	C₂²×C₆₁	1	1	yes	characteristic
938	#479	C₂²×C₆₁	1	1	yes	characteristic
939	#479	C₂²×C₆₁	1	1	yes	characteristic
940	#479	C₂²×C₆₁	1	1	yes	characteristic
941	#479	C₂²×C₆₁	1	1	yes	characteristic
942	#479	C₂²×C₆₁	1	1	yes	characteristic
943	#479	C₂²×C₆₁	1	1	yes	characteristic
944	#478	C₂²×C₆₁	1	1	yes	characteristic
945	#478	C₂²×C₆₁	1	1	yes	characteristic
946	#478	C₂²×C₆₁	1	1	yes	characteristic
947	#478	C₂²×C₆₁	1	1	yes	characteristic
948	#478	C₂²×C₆₁	1	1	yes	characteristic
949	#478	C₂²×C₆₁	1	1	yes	characteristic
950	#478	C₂²×C₆₁	1	1	yes	characteristic
951	#478	C₂²×C₆₁	1	1	yes	characteristic
952	#478	C₂²×C₆₁	1	1	yes	characteristic
953	#478	C₂²×C₆₁	1	1	yes	characteristic
954	#477	C₂²×C₆₁	1	1	yes	characteristic
955	#477	C₂²×C₆₁	1	1	yes	characteristic
956	#476	C₂²×C₆₁	1	1	yes	characteristic
957	#476	C₂²×C₆₁	1	1	yes	characteristic
958	#475	C₂²×C₆₁	1	1	yes	characteristic
959	#474	C₂²×C₆₁	1	1	yes	characteristic
960	#470	C₂²×C₆₁	1	1	yes	characteristic
961	#469	C₂²×C₆₁	1	1	yes	characteristic
962	#468	C₂²×C₆₁	1	1	yes	characteristic
963	#468	C₂²×C₆₁	1	1	yes	characteristic
964	#467	C₂²×C₆₁	1	1	yes	characteristic
965	#466	C₂²×C₆₁	1	1	yes	characteristic
966	#466	C₂²×C₆₁	1	1	yes	characteristic
967	#466	C₂²×C₆₁	1	1	yes	characteristic
968	#465	C₂²×C₆₁	1	1	yes	characteristic
969	#465	C₂²×C₆₁	1	1	yes	characteristic
970	#465	C₂²×C₆₁	1	1	yes	characteristic
971	#465	C₂²×C₆₁	1	1	yes	characteristic
972	#464	C₂²×C₆₁	1	1	yes	characteristic
973	#464	C₂²×C₆₁	1	1	yes	characteristic
974	#464	C₂²×C₆₁	1	1	yes	characteristic
975	#464	C₂²×C₆₁	1	1	yes	characteristic
976	#463	C₂²×C₆₁	1	1	yes	characteristic
977	#463	C₂²×C₆₁	1	1	yes	characteristic
978	#463	C₂²×C₆₁	1	1	yes	characteristic
979	#463	C₂²×C₆₁	1	1	yes	characteristic
980	#460	C₂²×C₆₁	1	1	yes	characteristic
981	#459	C₂²×C₆₁	1	1	yes	characteristic
982	#452	C₂²×C₆₁	1	1	yes	characteristic
983	#452	C₂²×C₆₁	1	1	yes	characteristic
984	#451	C₂²×C₆₁	1	1	yes	characteristic
985	#449	C₂²×C₆₁	1	1	yes	characteristic
986	#449	C₂²×C₆₁	1	1	yes	characteristic
987	#448	C₂²×C₆₁	1	1	yes	characteristic
988	#446	C₂²×C₆₁	1	1	yes	characteristic
989	#446	C₂²×C₆₁	1	1	yes	characteristic
990	#442	C₂²×C₆₁	1	1	yes	characteristic
991	#441	C₂²×C₆₁	1	1	yes	characteristic
992	#441	C₂²×C₆₁	1	1	yes	characteristic
993	#441	C₂²×C₆₁	1	1	yes	characteristic
994	#440	C₂²×C₆₁	1	1	yes	characteristic
995	#440	C₂²×C₆₁	1	1	yes	characteristic
996	#440	C₂²×C₆₁	1	1	yes	characteristic
997	#440	C₂²×C₆₁	1	1	yes	characteristic
998	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
999	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1000	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1001	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1002	#435	C₂²×C₆₁	1	1	yes	characteristic
1003	#435	C₂²×C₆₁	1	1	yes	characteristic
1004	#435	C₂²×C₆₁	1	1	yes	characteristic
1005	#435	C₂²×C₆₁	1	1	yes	characteristic
1006	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1007	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1008	#432	C₂²×C₆₁	1	1	yes	characteristic
1009	#432	C₂²×C₆₁	1	1	yes	characteristic
1010	#431	C₂²×C₆₁	1	1	yes	characteristic
1011	#428	C₂²×C₆₁	1	1	yes	characteristic
1012	#428	C₂²×C₆₁	1	1	yes	characteristic
1013	#427	C₂²×C₆₁	1	1	yes	characteristic
1014	#427	C₂²×C₆₁	1	1	yes	characteristic
1015	C₂×#107	C₂²×C₆₁	1	1	yes	characteristic
1016	C₂×#106	C₂²×C₆₁	1	1	yes	characteristic
1017	#423	C₂²×C₆₁	1	1	yes	characteristic
1018	C₂×C₄⋊C₈	C₂²×C₆₁	1	1	yes	characteristic
1019	C₂×C₄⋊C₈	C₂²×C₆₁	1	1	yes	characteristic
1020	#417	C₂²×C₆₁	1	1	yes	characteristic
1021	#417	C₂²×C₆₁	1	1	yes	characteristic
1022	#416	C₂²×C₆₁	1	1	yes	characteristic
1023	#416	C₂²×C₆₁	1	1	yes	characteristic
1024	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1025	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1026	C₆₁	#62140	1	1	yes	characteristic, direct product factor, Sylow
1027	C₂×#41	—	2	1	no	—
1028	C₂×#41	—	2	1	no	—
1029	C₂×#41	D₄×C₆₁	1	1	yes	characteristic
1030	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1031	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1032	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1033	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1034	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1035	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1036	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1037	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1038	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1039	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1040	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1041	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1042	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1043	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1044	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1045	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1046	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1047	C₄⋊Q₈	—	2	1	no	—
1048	C₄⋊Q₈	—	2	1	no	—
1049	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1050	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1051	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1052	#127	—	2	1	no	—
1053	#127	C₂³×C₆₁	1	1	yes	characteristic
1054	#126	—	2	1	no	—
1055	#126	—	2	1	no	—
1056	#126	—	2	1	no	—
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	—	2	1	no	—
1061	#126	—	2	1	no	—
1062	#126	—	2	1	no	—
1063	#126	—	2	1	no	—
1064	#126	—	2	1	no	—
1065	#126	—	2	1	no	—
1066	#126	—	2	1	no	—
1067	#125	—	2	1	no	—
1068	#125	—	2	1	no	—
1069	#125	—	2	1	no	—
1070	#125	—	2	1	no	—
1071	#125	—	2	1	no	—
1072	#125	—	2	1	no	—
1073	#125	—	2	1	no	—
1074	#125	—	2	1	no	—
1075	#125	—	2	1	no	—
1076	#125	—	2	1	no	—
1077	#125	—	2	1	no	—
1078	#125	C₂³×C₆₁	1	1	yes	characteristic
1079	#125	C₂³×C₆₁	1	1	yes	characteristic
1080	#125	C₂³×C₆₁	1	1	yes	characteristic
1081	#125	C₂³×C₆₁	1	1	yes	characteristic
1082	#125	C₂³×C₆₁	1	1	yes	characteristic
1083	#125	C₂³×C₆₁	1	1	yes	characteristic
1084	#125	C₂³×C₆₁	1	1	yes	characteristic
1085	#125	C₂³×C₆₁	1	1	yes	characteristic
1086	#125	C₂³×C₆₁	1	1	yes	characteristic
1087	#124	—	2	1	no	—
1088	#124	—	2	1	no	—
1089	#124	—	2	1	no	—
1090	#124	—	2	1	no	—
1091	#124	—	2	1	no	—
1092	#124	C₂³×C₆₁	1	1	yes	characteristic
1093	#124	C₂³×C₆₁	1	1	yes	characteristic
1094	#124	C₂³×C₆₁	1	1	yes	characteristic
1095	#123	—	2	1	no	—
1096	#123	—	2	1	no	—
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	#123	—	2	1	no	—
1100	#123	—	2	1	no	—
1101	#123	—	2	1	no	—
1102	#123	—	2	1	no	—
1103	#123	—	2	1	no	—
1104	#123	—	2	1	no	—
1105	#123	—	2	1	no	—
1106	#123	—	2	1	no	—
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	#123	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	—	2	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	2	1	no	—
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	—	2	1	no	—
1117	C₂²⋊Q₈	—	2	1	no	—
1118	C₂²⋊Q₈	—	2	1	no	—
1119	C₂²⋊Q₈	—	2	1	no	—
1120	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1121	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1122	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1123	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1124	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1125	#121	—	2	1	no	—
1126	#121	—	2	1	no	—
1127	#121	—	2	1	no	—
1128	#121	—	2	1	no	—
1129	#121	—	2	1	no	—
1130	#121	—	2	1	no	—
1131	#121	—	2	1	no	—
1132	#121	—	2	1	no	—
1133	#121	—	2	1	no	—
1134	#121	C₂³×C₆₁	1	1	yes	characteristic
1135	#121	C₂³×C₆₁	1	1	yes	characteristic
1136	#121	C₂³×C₆₁	1	1	yes	characteristic
1137	#121	C₂³×C₆₁	1	1	yes	characteristic
1138	#121	C₂³×C₆₁	1	1	yes	characteristic
1139	#121	C₂³×C₆₁	1	1	yes	characteristic
1140	#121	C₂³×C₆₁	1	1	yes	characteristic
1141	C₄×Q₈	—	2	1	no	—
1142	C₄×Q₈	—	2	1	no	—
1143	C₄×Q₈	—	2	1	no	—
1144	C₄×Q₈	—	2	1	no	—
1145	C₄×Q₈	—	2	1	no	—
1146	C₄×Q₈	—	2	1	no	—
1147	C₄×Q₈	—	2	1	no	—
1148	C₄×Q₈	D₄×C₆₁	1	1	yes	characteristic
1149	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1150	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1151	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1152	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1153	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1154	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1155	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1156	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1157	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1158	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	2	1	no	—
1161	C₄×D₄	—	2	1	no	—
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
1164	C₄×D₄	—	2	1	no	—
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	—	2	1	no	—
1167	C₄×D₄	—	2	1	no	—
1168	C₄×D₄	—	2	1	no	—
1169	C₄×D₄	—	2	1	no	—
1170	C₄×D₄	—	2	1	no	—
1171	C₄×D₄	—	2	1	no	—
1172	C₄×D₄	—	2	1	no	—
1173	C₄×D₄	—	2	1	no	—
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	2	1	no	—
1176	C₄×D₄	—	2	1	no	—
1177	C₄×D₄	—	2	1	no	—
1178	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1179	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1180	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1181	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1182	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1183	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1184	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1185	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1186	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1187	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1188	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1189	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1190	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1191	#117	—	2	1	no	—
1192	#117	—	2	1	no	—
1193	#117	—	2	1	no	—
1194	#117	—	2	1	no	—
1195	#117	—	2	1	no	—
1196	#117	—	2	1	no	—
1197	#117	—	2	1	no	—
1198	#117	—	2	1	no	—
1199	#117	—	2	1	no	—
1200	#117	D₄×C₆₁	1	1	yes	characteristic
1201	#117	D₄×C₆₁	1	1	yes	characteristic
1202	#117	D₄×C₆₁	1	1	yes	characteristic
1203	#117	C₂³×C₆₁	1	1	yes	characteristic
1204	#117	C₂³×C₆₁	1	1	yes	characteristic
1205	#117	C₂³×C₆₁	1	1	yes	characteristic
1206	#117	C₂³×C₆₁	1	1	yes	characteristic
1207	C₂×C₄⋊C₄	—	2	1	no	—
1208	C₂×C₄⋊C₄	—	2	1	no	—
1209	C₂×C₄⋊C₄	—	2	1	no	—
1210	C₂×C₄⋊C₄	—	2	1	no	—
1211	C₂×C₄⋊C₄	—	2	1	no	—
1212	C₂×C₄⋊C₄	—	2	1	no	—
1213	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1216	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1217	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1218	C₂×C₄²	—	2	1	no	—
1219	C₂×C₄²	—	2	1	no	—
1220	C₂×C₄²	—	2	1	no	—
1221	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1222	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1223	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1224	#107	C₂³×C₆₁	1	1	yes	characteristic
1225	#107	C₂³×C₆₁	1	1	yes	characteristic
1226	#107	C₂³×C₆₁	1	1	yes	characteristic
1227	#107	C₂³×C₆₁	1	1	yes	characteristic
1228	#107	C₂³×C₆₁	1	1	yes	characteristic
1229	#107	C₂³×C₆₁	1	1	yes	characteristic
1230	#107	C₂³×C₆₁	1	1	yes	characteristic
1231	#107	C₂³×C₆₁	1	1	yes	characteristic
1232	#107	C₂³×C₆₁	1	1	yes	characteristic
1233	#107	C₂³×C₆₁	1	1	yes	characteristic
1234	#107	C₂³×C₆₁	1	1	yes	characteristic
1235	#107	C₂³×C₆₁	1	1	yes	characteristic
1236	#106	C₂³×C₆₁	1	1	yes	characteristic
1237	#106	C₂³×C₆₁	1	1	yes	characteristic
1238	#106	C₂³×C₆₁	1	1	yes	characteristic
1239	#106	C₂³×C₆₁	1	1	yes	characteristic
1240	#106	C₂³×C₆₁	1	1	yes	characteristic
1241	#106	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	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1249	C₄⋊C₈	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	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1257	C₄⋊C₈	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	#102	C₂³×C₆₁	1	1	yes	characteristic
1275	#102	C₂³×C₆₁	1	1	yes	characteristic
1276	#102	C₂³×C₆₁	1	1	yes	characteristic
1277	#102	C₂³×C₆₁	1	1	yes	characteristic
1278	#102	C₂³×C₆₁	1	1	yes	characteristic
1279	#102	C₂³×C₆₁	1	1	yes	characteristic
1280	#102	C₂³×C₆₁	1	1	yes	characteristic
1281	#102	C₂³×C₆₁	1	1	yes	characteristic
1282	#102	C₂³×C₆₁	1	1	yes	characteristic
1283	#102	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	#102	C₂³×C₆₁	1	1	yes	characteristic
1289	#102	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	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1295	C₂²⋊C₈	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	#41	—	2	2	no	—
1303	#41	—	2	2	no	—
1304	#41	—	4	2	no	—
1305	#41	—	4	1	no	—
1306	#41	—	4	1	no	—
1307	#41	—	4	4	no	—
1308	#41	—	4	4	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	—	4	1	no	—
1315	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1316	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1317	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1318	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1319	C₂×D₄	—	2	1	no	—
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1331	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1332	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1333	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1334	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1335	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
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	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1352	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1353	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1354	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1355	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1356	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1360	Q₁₆	—	2	2	no	—
1361	Q₁₆	—	4	1	no	—
1362	SD₁₆	—	2	2	no	—
1363	SD₁₆	—	4	1	no	—
1364	SD₁₆	—	4	1	no	—
1365	SD₁₆	—	4	1	no	—
1366	D₈	—	4	1	no	—
1367	D₈	—	4	1	no	—
1368	M₁₆	—	4	1	no	—
1369	M₁₆	—	4	1	no	—
1370	C₂×C₈	—	4	1	no	—
1371	C₂×C₈	—	4	1	no	—
1372	C₂×C₈	—	4	1	no	—
1373	C₂×C₈	—	4	1	no	—
1374	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1375	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
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	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1428	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1429	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1430	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1432	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1433	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1434	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1435	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1468	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1469	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1487	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1488	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1489	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1490	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1491	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1492	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1493	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1494	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1495	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1500	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1501	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1502	Q₈	—	2	1	no	—
1503	Q₈	—	2	1	no	—
1504	Q₈	—	2	1	no	—
1505	Q₈	—	2	1	no	—
1506	Q₈	—	2	1	no	—
1507	Q₈	—	4	1	no	—
1508	Q₈	—	4	2	no	—
1509	Q₈	—	4	2	no	—
1510	Q₈	—	4	2	no	—
1511	Q₈	—	8	1	no	—
1512	Q₈	2₋¹⁺⁴×C₆₁	1	2	yes	—
1513	D₄	—	2	2	no	—
1514	D₄	—	2	2	no	—
1515	D₄	—	2	1	no	—
1516	D₄	—	2	1	no	—
1517	D₄	—	2	1	no	—
1518	D₄	—	2	1	no	—
1519	D₄	—	2	1	no	—
1520	D₄	—	2	1	no	—
1521	D₄	—	4	1	no	—
1522	D₄	—	4	2	no	—
1523	D₄	—	4	2	no	—
1524	D₄	—	4	2	no	—
1525	D₄	—	4	2	no	—
1526	D₄	—	4	2	no	—
1527	D₄	—	4	2	no	—
1528	D₄	—	4	2	no	—
1529	D₄	—	8	1	no	—
1530	D₄	—	8	1	no	—
1531	D₄	—	8	1	no	—
1532	D₄	—	8	1	no	—
1533	C₂×C₄	—	2	2	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	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	—	4	1	no	—
1554	C₂×C₄	—	4	1	no	—
1555	C₂×C₄	—	4	1	no	—
1556	C₂×C₄	—	4	1	no	—
1557	C₂×C₄	—	4	1	no	—
1558	C₂×C₄	—	4	2	no	—
1559	C₂×C₄	—	4	2	no	—
1560	C₂×C₄	—	4	2	no	—
1561	C₂×C₄	—	4	2	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	4	2	no	—
1564	C₂×C₄	—	4	2	no	—
1565	C₂×C₄	—	4	2	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1574	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1575	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1576	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
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	C₂⁵×C₆₁	1	1	yes	characteristic
1585	C₈	—	2	1	no	—
1586	C₈	—	2	1	no	—
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	C₆₁×#575	1	2	yes	—
1611	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
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	1	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	2	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	C₂×2₋¹⁺⁴×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	—	8	1	no	—
1643	C₂	—	8	1	no	—
1644	C₂	C₆₁×#3489	1	1	yes	characteristic
1645	C₂	C₂×C₆₁×#575	1	1	yes	characteristic
1646	C₂	C₆₁×#3584	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 ◁ C₄×#41×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3515	C₂	semidirect
2. C₆₁×#3480	C₂	semidirect
3. C₆₁×#3390	C₂	semidirect
4. C₆₁×#3388	C₂	semidirect
5. C₆₁×#3371	C₂	semidirect
6. C₆₁×#3370	C₂	semidirect
7. C₆₁×#3350	C₂	semidirect
8. C₆₁×#3349	C₂	semidirect
9. C₆₁×#3346	C₂	semidirect
10. C₆₁×#3345	C₂	semidirect
11. C₆₁×#3339	C₂	semidirect
12. C₆₁×#3337	C₂	semidirect
13. C₆₁×#3317	C₂	semidirect
14. C₆₁×#3316	C₂	semidirect
15. C₆₁×#3309	C₂	semidirect
16. C₆₁×#3308	C₂	semidirect
17. C₆₁×#3301	C₂	semidirect
18. C₆₁×#3300	C₂	semidirect
19. C₆₁×#3256	C₂	semidirect
20. C₆₁×#3250	C₂	semidirect
21. C₆₁×#3247	C₂	semidirect
22. C₆₁×#3240	C₂	semidirect
23. C₆₁×#3234	C₂	semidirect
24. C₆₁×#3232	C₂	semidirect
25. C₆₁×#3117	C₂	semidirect
26. C₆₁×#3111	C₂	semidirect
27. C₆₁×#3102	C₂	semidirect
28. C₆₁×#3080	C₂	semidirect
29. C₆₁×#3076	C₂	semidirect
30. C₂×C₆₁×#479	C₂	semidirect
31. C₆₁×#2990	C₂	semidirect
769. #62140	C₆₁	direct (N × H)
815. #3515	C₂×C₆₁	semidirect
816. #3480	C₂×C₆₁	semidirect
817. #3390	C₂×C₆₁	semidirect
818. #3388	C₂×C₆₁	semidirect
819. #3371	C₂×C₆₁	semidirect
820. #3370	C₂×C₆₁	semidirect
821. #3350	C₂×C₆₁	semidirect
822. #3349	C₂×C₆₁	semidirect
823. #3346	C₂×C₆₁	semidirect
824. #3345	C₂×C₆₁	semidirect
825. #3339	C₂×C₆₁	semidirect
826. #3337	C₂×C₆₁	semidirect
827. #3317	C₂×C₆₁	semidirect
828. #3316	C₂×C₆₁	semidirect
829. #3309	C₂×C₆₁	semidirect
830. #3308	C₂×C₆₁	semidirect
831. #3301	C₂×C₆₁	semidirect
832. #3300	C₂×C₆₁	semidirect
833. #3256	C₂×C₆₁	semidirect
834. #3250	C₂×C₆₁	semidirect
835. #3247	C₂×C₆₁	semidirect
836. #3240	C₂×C₆₁	semidirect
837. #3234	C₂×C₆₁	semidirect
838. #3232	C₂×C₆₁	semidirect
839. #3117	C₂×C₆₁	semidirect
840. #3111	C₂×C₆₁	semidirect
841. #3102	C₂×C₆₁	semidirect
842. #3080	C₂×C₆₁	semidirect
843. #3076	C₂×C₆₁	semidirect
844. C₂×#479	C₂×C₆₁	semidirect
845. #2990	C₂×C₆₁	semidirect
1026. C₆₁	#62140	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×#3515	2
C₆₁×#3480	2
C₆₁×#3390	2
C₆₁×#3388	2
C₆₁×#3371	2
C₆₁×#3370	2
C₆₁×#3350	2
C₆₁×#3349	2
C₆₁×#3346	2
C₆₁×#3345	2
C₆₁×#3339	2
C₆₁×#3337	2
C₆₁×#3317	2
C₆₁×#3316	2
C₆₁×#3309	2
C₆₁×#3308	2
C₆₁×#3301	2
C₆₁×#3300	2
C₆₁×#3256	2
C₆₁×#3250	2
C₆₁×#3247	2
C₆₁×#3240	2
C₆₁×#3234	2
C₆₁×#3232	2
C₆₁×#3117	2
C₆₁×#3111	2
C₆₁×#3102	2
C₆₁×#3080	2
C₆₁×#3076	2
C₂×C₆₁×#479	2
C₆₁×#2990	2
#62140	61

Subgroups — C61×#62140 #29565573

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62140 #29565573