Subgroups — C₆₁×#61861 #29565294

Order 15616.

1670 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3504	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3390	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3389	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3386	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3384	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3381	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3380	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3368	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3366	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3365	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3361	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3244	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3243	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3241	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3241	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×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3124	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#3106	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₆₁×#562	—	2	1	no	—
33	C₆₁×#562	—	2	1	no	—
34	C₆₁×#559	C₂²	1	1	yes	characteristic
35	C₆₁×#559	C₂²	1	1	yes	characteristic
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×#557	C₂²	1	1	yes	characteristic
40	C₆₁×#557	C₂²	1	1	yes	characteristic
41	C₆₁×#557	C₂²	1	1	yes	characteristic
42	C₆₁×#554	—	2	1	no	—
43	C₆₁×#554	—	2	1	no	—
44	C₆₁×#554	—	2	1	no	—
45	C₆₁×#554	—	2	1	no	—
46	C₆₁×#554	C₂²	1	1	yes	characteristic
47	C₆₁×#554	C₂²	1	1	yes	characteristic
48	C₆₁×#554	C₂²	1	1	yes	characteristic
49	C₆₁×#554	C₂²	1	1	yes	characteristic
50	C₆₁×#554	C₂²	1	1	yes	characteristic
51	C₆₁×#554	C₂²	1	1	yes	characteristic
52	C₆₁×#550	C₂²	1	1	yes	characteristic
53	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
54	C₆₁×#548	—	2	1	no	—
55	C₆₁×#547	—	2	1	no	—
56	C₆₁×#544	—	2	1	no	—
57	C₆₁×#544	—	2	1	no	—
58	C₆₁×#544	C₂²	1	1	yes	characteristic
59	C₆₁×#544	C₂²	1	1	yes	characteristic
60	C₆₁×#542	—	2	1	no	—
61	C₆₁×#542	C₂²	1	1	yes	characteristic
62	C₆₁×#542	C₂²	1	1	yes	characteristic
63	C₆₁×#540	C₂²	1	1	yes	characteristic
64	C₆₁×#540	C₂²	1	1	yes	characteristic
65	C₆₁×#539	—	2	1	no	—
66	C₆₁×#539	—	2	1	no	—
67	C₆₁×#536	—	2	1	no	—
68	C₆₁×#533	—	2	1	no	—
69	C₆₁×#533	C₂²	1	1	yes	characteristic
70	C₆₁×#532	C₂²	1	1	yes	characteristic
71	C₆₁×#529	C₂²	1	1	yes	characteristic
72	C₂×#125×C₆₁	—	2	1	no	—
73	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic
74	C₆₁×#520	C₂²	1	1	yes	characteristic
75	C₆₁×#520	C₂²	1	1	yes	characteristic
76	C₄×#41×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×#501	C₂²	1	1	yes	characteristic
82	C₆₁×#501	C₂²	1	1	yes	characteristic
83	C₆₁×#500	C₂²	1	1	yes	characteristic
84	C₆₁×#499	C₂²	1	1	yes	characteristic
85	C₆₁×#499	C₂²	1	1	yes	characteristic
86	C₆₁×#499	C₂²	1	1	yes	characteristic
87	C₆₁×#499	C₂²	1	1	yes	characteristic
88	C₆₁×#498	C₂²	1	1	yes	characteristic
89	C₆₁×#490	C₂²	1	1	yes	characteristic
90	C₆₁×#490	C₂²	1	1	yes	characteristic
91	C₆₁×#490	C₂²	1	1	yes	characteristic
92	C₆₁×#490	C₂²	1	1	yes	characteristic
93	C₆₁×#489	C₂²	1	1	yes	characteristic
94	C₆₁×#489	C₂²	1	1	yes	characteristic
95	C₆₁×#488	C₂²	1	1	yes	characteristic
96	C₆₁×#488	C₂²	1	1	yes	characteristic
97	C₆₁×#488	C₂²	1	1	yes	characteristic
98	C₆₁×#488	C₂²	1	1	yes	characteristic
99	C₆₁×#486	C₂²	1	1	yes	characteristic
100	C₆₁×#486	C₂²	1	1	yes	characteristic
101	C₆₁×#485	C₂²	1	1	yes	characteristic
102	C₆₁×#484	C₂²	1	1	yes	characteristic
103	C₆₁×#483	C₂²	1	1	yes	characteristic
104	C₆₁×#482	C₂²	1	1	yes	characteristic
105	C₆₁×#482	C₂²	1	1	yes	characteristic
106	C₆₁×#482	C₂²	1	1	yes	characteristic
107	C₆₁×#481	C₂²	1	1	yes	characteristic
108	C₆₁×#481	C₂²	1	1	yes	characteristic
109	C₆₁×#481	C₂²	1	1	yes	characteristic
110	C₆₁×#480	C₂²	1	1	yes	characteristic
111	C₆₁×#480	C₂²	1	1	yes	characteristic
112	C₆₁×#480	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×#478	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×#478	C₂²	1	1	yes	characteristic
132	C₆₁×#478	C₂²	1	1	yes	characteristic
133	C₆₁×#478	C₂²	1	1	yes	characteristic
134	C₆₁×#478	C₂²	1	1	yes	characteristic
135	C₆₁×#477	C₂²	1	1	yes	characteristic
136	C₆₁×#477	C₂²	1	1	yes	characteristic
137	C₆₁×#477	C₂²	1	1	yes	characteristic
138	C₆₁×#476	C₂²	1	1	yes	characteristic
139	C₆₁×#476	C₂²	1	1	yes	characteristic
140	C₆₁×#476	C₂²	1	1	yes	characteristic
141	C₆₁×#476	C₂²	1	1	yes	characteristic
142	C₆₁×#476	C₂²	1	1	yes	characteristic
143	C₆₁×#475	C₂²	1	1	yes	characteristic
144	C₆₁×#475	C₂²	1	1	yes	characteristic
145	C₆₁×#474	C₂²	1	1	yes	characteristic
146	C₆₁×#474	C₂²	1	1	yes	characteristic
147	C₆₁×#474	C₂²	1	1	yes	characteristic
148	C₆₁×#474	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×#463	C₂²	1	1	yes	characteristic
153	C₆₁×#463	C₂²	1	1	yes	characteristic
154	C₆₁×#463	C₂²	1	1	yes	characteristic
155	C₆₁×#460	C₂²	1	1	yes	characteristic
156	C₆₁×#460	C₂²	1	1	yes	characteristic
157	C₆₁×#460	C₂²	1	1	yes	characteristic
158	C₆₁×#459	C₂²	1	1	yes	characteristic
159	C₆₁×#459	C₂²	1	1	yes	characteristic
160	C₆₁×#459	C₂²	1	1	yes	characteristic
161	C₆₁×#452	C₂²	1	1	yes	characteristic
162	C₆₁×#449	C₂²	1	1	yes	characteristic
163	C₆₁×#449	C₂²	1	1	yes	characteristic
164	C₆₁×#449	C₂²	1	1	yes	characteristic
165	C₆₁×#446	C₂²	1	1	yes	characteristic
166	C₆₁×#446	C₂²	1	1	yes	characteristic
167	C₆₁×#446	C₂²	1	1	yes	characteristic
168	C₆₁×#446	C₂²	1	1	yes	characteristic
169	C₆₁×#446	C₂²	1	1	yes	characteristic
170	C₆₁×#446	C₂²	1	1	yes	characteristic
171	C₈×Q₈×C₆₁	C₂²	1	1	yes	characteristic
172	C₈×Q₈×C₆₁	C₂²	1	1	yes	characteristic
173	C₆₁×#442	C₂²	1	1	yes	characteristic
174	C₆₁×#442	C₂²	1	1	yes	characteristic
175	C₆₁×#442	C₂²	1	1	yes	characteristic
176	C₆₁×#442	C₂²	1	1	yes	characteristic
177	C₆₁×#441	C₂²	1	1	yes	characteristic
178	C₆₁×#441	C₂²	1	1	yes	characteristic
179	C₆₁×#440	C₂²	1	1	yes	characteristic
180	C₆₁×#440	C₂²	1	1	yes	characteristic
181	C₆₁×#440	C₂²	1	1	yes	characteristic
182	C₆₁×#440	C₂²	1	1	yes	characteristic
183	C₆₁×#440	C₂²	1	1	yes	characteristic
184	C₆₁×#440	C₂²	1	1	yes	characteristic
185	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
186	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
187	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
188	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
189	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
190	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
191	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
192	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
193	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
194	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
195	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
196	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
197	C₆₁×#433	C₂²	1	1	yes	characteristic
198	C₆₁×#433	C₂²	1	1	yes	characteristic
199	C₆₁×#433	C₂²	1	1	yes	characteristic
200	C₆₁×#433	C₂²	1	1	yes	characteristic
201	C₆₁×#432	C₂²	1	1	yes	characteristic
202	C₆₁×#431	C₂²	1	1	yes	characteristic
203	C₂×#41×C₆₁	—	2	1	no	—
204	C₂×#41×C₆₁	—	2	1	no	—
205	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₆₁	—	2	1	no	—
207	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
208	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
209	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
210	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
211	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
212	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
213	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
214	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
215	C₄⋊Q₈×C₆₁	—	2	1	no	—
216	C₄⋊Q₈×C₆₁	—	2	1	no	—
217	C₄⋊Q₈×C₆₁	—	2	1	no	—
218	C₄⋊Q₈×C₆₁	—	2	1	no	—
219	C₄⋊Q₈×C₆₁	—	2	1	no	—
220	C₄⋊Q₈×C₆₁	—	2	1	no	—
221	C₄⋊Q₈×C₆₁	—	2	1	no	—
222	C₄⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
223	C₄⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
224	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
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	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
229	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
230	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
231	#127×C₆₁	C₂³	1	1	yes	characteristic
232	#127×C₆₁	C₂³	1	1	yes	characteristic
233	#127×C₆₁	C₂³	1	1	yes	characteristic
234	#126×C₆₁	—	2	1	no	—
235	#126×C₆₁	—	2	1	no	—
236	#126×C₆₁	—	2	1	no	—
237	#125×C₆₁	—	2	1	no	—
238	#125×C₆₁	—	2	1	no	—
239	#125×C₆₁	—	2	1	no	—
240	#125×C₆₁	—	2	1	no	—
241	#125×C₆₁	—	2	1	no	—
242	#125×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	D₄	1	1	yes	characteristic
252	#125×C₆₁	D₄	1	1	yes	characteristic
253	#125×C₆₁	C₂³	1	1	yes	characteristic
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	#125×C₆₁	C₂³	1	1	yes	characteristic
264	#124×C₆₁	—	2	1	no	—
265	#124×C₆₁	—	2	1	no	—
266	#124×C₆₁	—	2	1	no	—
267	#124×C₆₁	—	2	1	no	—
268	#124×C₆₁	—	2	1	no	—
269	#124×C₆₁	—	2	1	no	—
270	#124×C₆₁	C₂³	1	1	yes	characteristic
271	#124×C₆₁	C₂³	1	1	yes	characteristic
272	#124×C₆₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
297	C₂²⋊Q₈×C₆₁	—	2	1	no	—
298	C₂²⋊Q₈×C₆₁	—	2	1	no	—
299	C₂²⋊Q₈×C₆₁	—	2	1	no	—
300	C₂²⋊Q₈×C₆₁	—	2	1	no	—
301	C₂²⋊Q₈×C₆₁	—	2	1	no	—
302	C₂²⋊Q₈×C₆₁	—	2	1	no	—
303	C₂²⋊Q₈×C₆₁	—	2	1	no	—
304	C₂²⋊Q₈×C₆₁	—	2	1	no	—
305	C₂²⋊Q₈×C₆₁	—	2	1	no	—
306	C₂²⋊Q₈×C₆₁	—	2	1	no	—
307	C₂²⋊Q₈×C₆₁	—	2	1	no	—
308	C₂²⋊Q₈×C₆₁	—	2	1	no	—
309	C₂²⋊Q₈×C₆₁	—	2	1	no	—
310	C₂²⋊Q₈×C₆₁	—	2	1	no	—
311	C₂²⋊Q₈×C₆₁	—	2	1	no	—
312	C₂²⋊Q₈×C₆₁	—	2	1	no	—
313	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
314	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
315	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
316	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
317	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
318	#121×C₆₁	—	2	1	no	—
319	#121×C₆₁	—	2	1	no	—
320	#121×C₆₁	—	2	1	no	—
321	#121×C₆₁	—	2	1	no	—
322	#121×C₆₁	—	2	1	no	—
323	#121×C₆₁	—	2	1	no	—
324	#121×C₆₁	—	2	1	no	—
325	#121×C₆₁	—	2	1	no	—
326	#121×C₆₁	C₂³	1	1	yes	characteristic
327	#121×C₆₁	C₂³	1	1	yes	characteristic
328	#121×C₆₁	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₆₁	—	2	1	no	—
330	C₄×Q₈×C₆₁	—	2	1	no	—
331	C₄×Q₈×C₆₁	—	2	1	no	—
332	C₄×Q₈×C₆₁	—	2	1	no	—
333	C₄×Q₈×C₆₁	—	2	1	no	—
334	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
335	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
336	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
339	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
347	C₄×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	—	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	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	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
373	#117×C₆₁	—	2	1	no	—
374	#117×C₆₁	—	2	1	no	—
375	#117×C₆₁	—	2	1	no	—
376	#117×C₆₁	—	2	1	no	—
377	#117×C₆₁	C₂³	1	1	yes	characteristic
378	#117×C₆₁	C₂³	1	1	yes	characteristic
379	#117×C₆₁	C₂³	1	1	yes	characteristic
380	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
381	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
382	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
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	—	2	1	no	—
390	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
392	C₂×C₄²×C₆₁	—	2	1	no	—
393	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
394	#107×C₆₁	C₂³	1	1	yes	characteristic
395	#107×C₆₁	C₂³	1	1	yes	characteristic
396	#107×C₆₁	C₂³	1	1	yes	characteristic
397	#107×C₆₁	C₂³	1	1	yes	characteristic
398	#107×C₆₁	C₂³	1	1	yes	characteristic
399	#107×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	#106×C₆₁	C₂³	1	1	yes	characteristic
407	#106×C₆₁	C₂³	1	1	yes	characteristic
408	#106×C₆₁	C₂³	1	1	yes	characteristic
409	#106×C₆₁	C₂³	1	1	yes	characteristic
410	#106×C₆₁	C₂³	1	1	yes	characteristic
411	#106×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	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
419	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
420	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
421	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
422	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
423	C₄⋊C₈×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	#103×C₆₁	C₂³	1	1	yes	characteristic
431	#103×C₆₁	C₂³	1	1	yes	characteristic
432	#103×C₆₁	C₂³	1	1	yes	characteristic
433	#103×C₆₁	C₂³	1	1	yes	characteristic
434	#103×C₆₁	C₂³	1	1	yes	characteristic
435	#103×C₆₁	C₂³	1	1	yes	characteristic
436	#103×C₆₁	C₂³	1	1	yes	characteristic
437	#103×C₆₁	C₂³	1	1	yes	characteristic
438	#103×C₆₁	C₂³	1	1	yes	characteristic
439	#103×C₆₁	C₂³	1	1	yes	characteristic
440	#102×C₆₁	C₂³	1	1	yes	characteristic
441	#102×C₆₁	C₂³	1	1	yes	characteristic
442	#102×C₆₁	C₂³	1	1	yes	characteristic
443	#102×C₆₁	C₂³	1	1	yes	characteristic
444	#102×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	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
466	#97×C₆₁	C₂³	1	1	yes	characteristic
467	#97×C₆₁	C₂³	1	1	yes	characteristic
468	#97×C₆₁	C₂³	1	1	yes	characteristic
469	#97×C₆₁	C₂³	1	1	yes	characteristic
470	#97×C₆₁	C₂³	1	1	yes	characteristic
471	#97×C₆₁	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
475	C₄×C₈×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	—	8	2	no	—
481	#41×C₆₁	—	8	2	no	—
482	C₂×Q₈×C₆₁	—	2	1	no	—
483	C₂×Q₈×C₆₁	—	2	1	no	—
484	C₂×Q₈×C₆₁	—	2	1	no	—
485	C₂×Q₈×C₆₁	—	2	1	no	—
486	C₂×Q₈×C₆₁	—	2	1	no	—
487	C₂×Q₈×C₆₁	—	2	1	no	—
488	C₂×Q₈×C₆₁	—	2	1	no	—
489	C₂×Q₈×C₆₁	—	8	2	no	—
490	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
493	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₆₁	—	2	1	no	—
511	C₂²×C₄×C₆₁	—	2	1	no	—
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	—	2	1	no	—
528	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
531	Q₁₆×C₆₁	—	2	2	no	—
532	SD₁₆×C₆₁	—	2	2	no	—
533	SD₁₆×C₆₁	—	2	2	no	—
534	SD₁₆×C₆₁	—	2	2	no	—
535	SD₁₆×C₆₁	—	2	2	no	—
536	D₈×C₆₁	—	2	2	no	—
537	D₈×C₆₁	—	2	2	no	—
538	D₈×C₆₁	—	2	2	no	—
539	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
540	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
541	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
542	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
543	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
544	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
545	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
546	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
547	C₄⋊C₄×C₆₁	—	2	1	no	—
548	C₄⋊C₄×C₆₁	—	2	1	no	—
549	C₄⋊C₄×C₆₁	—	2	1	no	—
550	C₄⋊C₄×C₆₁	—	2	1	no	—
551	C₄⋊C₄×C₆₁	—	2	1	no	—
552	C₄⋊C₄×C₆₁	—	2	1	no	—
553	C₄⋊C₄×C₆₁	—	2	1	no	—
554	C₄⋊C₄×C₆₁	—	2	1	no	—
555	C₄⋊C₄×C₆₁	—	2	1	no	—
556	C₄⋊C₄×C₆₁	—	2	1	no	—
557	C₄⋊C₄×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
589	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
590	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
591	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
592	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
593	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
594	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
595	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
596	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
597	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
644	C₄²×C₆₁	—	2	1	no	—
645	C₄²×C₆₁	—	2	1	no	—
646	C₄²×C₆₁	—	2	1	no	—
647	C₄²×C₆₁	—	2	1	no	—
648	C₄²×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
655	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
656	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
657	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
658	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
659	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
660	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
661	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
662	C₂³×C₆₁	—	2	1	no	—
663	C₂³×C₆₁	—	2	1	no	—
664	C₂³×C₆₁	—	2	1	no	—
665	C₂³×C₆₁	—	2	1	no	—
666	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
667	Q₈×C₆₁	—	2	1	no	—
668	Q₈×C₆₁	—	2	1	no	—
669	Q₈×C₆₁	—	2	1	no	—
670	Q₈×C₆₁	—	4	1	no	—
671	Q₈×C₆₁	—	4	1	no	—
672	Q₈×C₆₁	—	4	1	no	—
673	Q₈×C₆₁	—	4	1	no	—
674	Q₈×C₆₁	—	4	2	no	—
675	Q₈×C₆₁	—	8	1	no	—
676	Q₈×C₆₁	—	8	1	no	—
677	Q₈×C₆₁	—	8	1	no	—
678	Q₈×C₆₁	—	8	1	no	—
679	Q₈×C₆₁	—	8	1	no	—
680	Q₈×C₆₁	—	8	1	no	—
681	Q₈×C₆₁	2₋¹⁺⁴	1	2	yes	—
682	D₄×C₆₁	—	2	4	no	—
683	D₄×C₆₁	—	2	1	no	—
684	D₄×C₆₁	—	2	1	no	—
685	D₄×C₆₁	—	2	1	no	—
686	D₄×C₆₁	—	2	1	no	—
687	D₄×C₆₁	—	2	1	no	—
688	D₄×C₆₁	—	2	1	no	—
689	D₄×C₆₁	—	2	1	no	—
690	D₄×C₆₁	—	4	2	no	—
691	D₄×C₆₁	—	8	1	no	—
692	D₄×C₆₁	—	8	1	no	—
693	D₄×C₆₁	—	8	1	no	—
694	D₄×C₆₁	—	8	1	no	—
695	D₄×C₆₁	—	8	1	no	—
696	D₄×C₆₁	—	8	1	no	—
697	D₄×C₆₁	—	8	1	no	—
698	D₄×C₆₁	—	8	1	no	—
699	D₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
700	C₂×C₄×C₆₁	—	2	4	no	—
701	C₂×C₄×C₆₁	—	2	1	no	—
702	C₂×C₄×C₆₁	—	2	1	no	—
703	C₂×C₄×C₆₁	—	2	1	no	—
704	C₂×C₄×C₆₁	—	2	1	no	—
705	C₂×C₄×C₆₁	—	2	1	no	—
706	C₂×C₄×C₆₁	—	2	1	no	—
707	C₂×C₄×C₆₁	—	2	1	no	—
708	C₂×C₄×C₆₁	—	2	1	no	—
709	C₂×C₄×C₆₁	—	2	1	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	—	4	1	no	—
716	C₂×C₄×C₆₁	—	4	1	no	—
717	C₂×C₄×C₆₁	—	4	2	no	—
718	C₂×C₄×C₆₁	—	8	1	no	—
719	C₂×C₄×C₆₁	—	8	1	no	—
720	C₂×C₄×C₆₁	—	8	1	no	—
721	C₂×C₄×C₆₁	—	8	1	no	—
722	C₂×C₄×C₆₁	—	8	1	no	—
723	C₂×C₄×C₆₁	—	8	1	no	—
724	C₂×C₄×C₆₁	—	8	1	no	—
725	C₂×C₄×C₆₁	—	8	1	no	—
726	C₂×C₄×C₆₁	—	8	1	no	—
727	C₂×C₄×C₆₁	—	8	1	no	—
728	C₂×C₄×C₆₁	—	8	1	no	—
729	C₂×C₄×C₆₁	—	8	1	no	—
730	C₂×C₄×C₆₁	—	8	1	no	—
731	C₂×C₄×C₆₁	—	8	1	no	—
732	C₂×C₄×C₆₁	—	8	1	no	—
733	C₂×C₄×C₆₁	—	8	1	no	—
734	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
735	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
736	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
737	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
738	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
739	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
740	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
741	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
742	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
743	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
744	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
745	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
746	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
747	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
748	C₈×C₆₁	—	2	1	no	—
749	C₈×C₆₁	—	2	1	no	—
750	C₈×C₆₁	—	2	1	no	—
751	C₈×C₆₁	—	2	1	no	—
752	C₈×C₆₁	—	2	1	no	—
753	C₈×C₆₁	—	2	1	no	—
754	C₈×C₆₁	—	2	1	no	—
755	C₈×C₆₁	—	2	1	no	—
756	#61861	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
757	C₂²×C₆₁	—	2	1	no	—
758	C₂²×C₆₁	—	2	1	no	—
759	C₂²×C₆₁	—	2	1	no	—
760	C₂²×C₆₁	—	2	2	no	—
761	C₂²×C₆₁	—	4	1	no	—
762	C₂²×C₆₁	—	4	1	no	—
763	C₂²×C₆₁	—	4	1	no	—
764	C₂²×C₆₁	—	4	1	no	—
765	C₂²×C₆₁	—	4	1	no	—
766	C₂²×C₆₁	—	4	1	no	—
767	C₂²×C₆₁	—	4	1	no	—
768	C₂²×C₆₁	—	4	1	no	—
769	C₂²×C₆₁	—	4	1	no	—
770	C₂²×C₆₁	—	4	1	no	—
771	C₂²×C₆₁	—	4	1	no	—
772	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
773	C₄×C₆₁	—	2	1	no	—
774	C₄×C₆₁	—	2	1	no	—
775	C₄×C₆₁	—	2	1	no	—
776	C₄×C₆₁	—	2	1	no	—
777	C₄×C₆₁	—	2	1	no	—
778	C₄×C₆₁	—	2	1	no	—
779	C₄×C₆₁	—	2	1	no	—
780	C₄×C₆₁	—	2	1	no	—
781	C₄×C₆₁	—	2	1	no	—
782	C₄×C₆₁	—	2	1	no	—
783	C₄×C₆₁	—	2	1	no	—
784	C₄×C₆₁	—	2	1	no	—
785	C₄×C₆₁	—	2	1	no	—
786	C₄×C₆₁	—	2	2	no	—
787	C₄×C₆₁	—	4	1	no	—
788	C₄×C₆₁	—	4	1	no	—
789	C₄×C₆₁	—	4	1	no	—
790	C₄×C₆₁	—	4	1	no	—
791	C₄×C₆₁	—	4	1	no	—
792	C₄×C₆₁	—	4	1	no	—
793	C₄×C₆₁	—	4	1	no	—
794	C₄×C₆₁	—	4	1	no	—
795	C₄×C₆₁	—	4	1	no	—
796	C₄×C₆₁	—	4	1	no	—
797	C₄×C₆₁	—	4	1	no	—
798	C₄×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
799	C₄×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
800	#3554	C₂×C₆₁	1	1	yes	characteristic, complemented
801	#3504	C₂×C₆₁	1	1	yes	characteristic, complemented
802	#3390	C₂×C₆₁	1	1	yes	characteristic, complemented
803	#3389	C₂×C₆₁	1	1	yes	characteristic, complemented
804	#3388	C₂×C₆₁	1	1	yes	characteristic, complemented
805	#3388	C₂×C₆₁	1	1	yes	characteristic, complemented
806	#3386	C₂×C₆₁	1	1	yes	characteristic, complemented
807	#3384	C₂×C₆₁	1	1	yes	characteristic, complemented
808	#3381	C₂×C₆₁	1	1	yes	characteristic, complemented
809	#3380	C₂×C₆₁	1	1	yes	characteristic, complemented
810	#3371	C₂×C₆₁	1	1	yes	characteristic, complemented
811	#3371	C₂×C₆₁	1	1	yes	characteristic, complemented
812	#3370	C₂×C₆₁	1	1	yes	characteristic, complemented
813	#3370	C₂×C₆₁	1	1	yes	characteristic, complemented
814	#3368	C₂×C₆₁	1	1	yes	characteristic, complemented
815	#3366	C₂×C₆₁	1	1	yes	characteristic, complemented
816	#3365	C₂×C₆₁	1	1	yes	characteristic, complemented
817	#3361	C₂×C₆₁	1	1	yes	characteristic, complemented
818	#3244	C₂×C₆₁	1	1	yes	characteristic, complemented
819	#3243	C₂×C₆₁	1	1	yes	characteristic, complemented
820	#3241	C₂×C₆₁	1	1	yes	characteristic, complemented
821	#3241	C₂×C₆₁	1	1	yes	characteristic, complemented
822	#3234	C₂×C₆₁	1	1	yes	characteristic, complemented
823	#3232	C₂×C₆₁	1	1	yes	characteristic, complemented
824	#3125	C₂×C₆₁	1	1	yes	characteristic, complemented
825	#3124	C₂×C₆₁	1	1	yes	characteristic, complemented
826	#3119	C₂×C₆₁	1	1	yes	characteristic, complemented
827	#3119	C₂×C₆₁	1	1	yes	characteristic, complemented
828	#3111	C₂×C₆₁	1	1	yes	characteristic, complemented
829	#3106	C₂×C₆₁	1	1	yes	characteristic, complemented
830	#2985	C₂×C₆₁	1	1	yes	characteristic, complemented
831	C₂×C₆₁	—	4	1	no	—
832	C₂×C₆₁	—	4	2	no	—
833	C₂×C₆₁	—	8	1	no	—
834	C₂×C₆₁	—	8	1	no	—
835	C₂×C₆₁	—	8	1	no	—
836	C₂×C₆₁	#3486	1	1	yes	characteristic
837	C₂×C₆₁	#3584	1	1	yes	characteristic
838	C₂×C₆₁	#3585	1	1	yes	characteristic
839	#562	—	2	1	no	—
840	#562	—	2	1	no	—
841	#559	C₂²×C₆₁	1	1	yes	characteristic
842	#559	C₂²×C₆₁	1	1	yes	characteristic
843	#559	C₂²×C₆₁	1	1	yes	characteristic
844	#557	C₂²×C₆₁	1	1	yes	characteristic
845	#557	C₂²×C₆₁	1	1	yes	characteristic
846	#557	C₂²×C₆₁	1	1	yes	characteristic
847	#557	C₂²×C₆₁	1	1	yes	characteristic
848	#557	C₂²×C₆₁	1	1	yes	characteristic
849	#554	—	2	1	no	—
850	#554	—	2	1	no	—
851	#554	—	2	1	no	—
852	#554	—	2	1	no	—
853	#554	C₂²×C₆₁	1	1	yes	characteristic
854	#554	C₂²×C₆₁	1	1	yes	characteristic
855	#554	C₂²×C₆₁	1	1	yes	characteristic
856	#554	C₂²×C₆₁	1	1	yes	characteristic
857	#554	C₂²×C₆₁	1	1	yes	characteristic
858	#554	C₂²×C₆₁	1	1	yes	characteristic
859	#550	C₂²×C₆₁	1	1	yes	characteristic
860	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
861	#548	—	2	1	no	—
862	#547	—	2	1	no	—
863	#544	—	2	1	no	—
864	#544	—	2	1	no	—
865	#544	C₂²×C₆₁	1	1	yes	characteristic
866	#544	C₂²×C₆₁	1	1	yes	characteristic
867	#542	—	2	1	no	—
868	#542	C₂²×C₆₁	1	1	yes	characteristic
869	#542	C₂²×C₆₁	1	1	yes	characteristic
870	#540	C₂²×C₆₁	1	1	yes	characteristic
871	#540	C₂²×C₆₁	1	1	yes	characteristic
872	#539	—	2	1	no	—
873	#539	—	2	1	no	—
874	#536	—	2	1	no	—
875	#533	—	2	1	no	—
876	#533	C₂²×C₆₁	1	1	yes	characteristic
877	#532	C₂²×C₆₁	1	1	yes	characteristic
878	#529	C₂²×C₆₁	1	1	yes	characteristic
879	C₂×#125	—	2	1	no	—
880	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic
881	#520	C₂²×C₆₁	1	1	yes	characteristic
882	#520	C₂²×C₆₁	1	1	yes	characteristic
883	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
884	#501	C₂²×C₆₁	1	1	yes	characteristic
885	#501	C₂²×C₆₁	1	1	yes	characteristic
886	#501	C₂²×C₆₁	1	1	yes	characteristic
887	#501	C₂²×C₆₁	1	1	yes	characteristic
888	#501	C₂²×C₆₁	1	1	yes	characteristic
889	#501	C₂²×C₆₁	1	1	yes	characteristic
890	#500	C₂²×C₆₁	1	1	yes	characteristic
891	#499	C₂²×C₆₁	1	1	yes	characteristic
892	#499	C₂²×C₆₁	1	1	yes	characteristic
893	#499	C₂²×C₆₁	1	1	yes	characteristic
894	#499	C₂²×C₆₁	1	1	yes	characteristic
895	#498	C₂²×C₆₁	1	1	yes	characteristic
896	#490	C₂²×C₆₁	1	1	yes	characteristic
897	#490	C₂²×C₆₁	1	1	yes	characteristic
898	#490	C₂²×C₆₁	1	1	yes	characteristic
899	#490	C₂²×C₆₁	1	1	yes	characteristic
900	#489	C₂²×C₆₁	1	1	yes	characteristic
901	#489	C₂²×C₆₁	1	1	yes	characteristic
902	#488	C₂²×C₆₁	1	1	yes	characteristic
903	#488	C₂²×C₆₁	1	1	yes	characteristic
904	#488	C₂²×C₆₁	1	1	yes	characteristic
905	#488	C₂²×C₆₁	1	1	yes	characteristic
906	#486	C₂²×C₆₁	1	1	yes	characteristic
907	#486	C₂²×C₆₁	1	1	yes	characteristic
908	#485	C₂²×C₆₁	1	1	yes	characteristic
909	#484	C₂²×C₆₁	1	1	yes	characteristic
910	#483	C₂²×C₆₁	1	1	yes	characteristic
911	#482	C₂²×C₆₁	1	1	yes	characteristic
912	#482	C₂²×C₆₁	1	1	yes	characteristic
913	#482	C₂²×C₆₁	1	1	yes	characteristic
914	#481	C₂²×C₆₁	1	1	yes	characteristic
915	#481	C₂²×C₆₁	1	1	yes	characteristic
916	#481	C₂²×C₆₁	1	1	yes	characteristic
917	#480	C₂²×C₆₁	1	1	yes	characteristic
918	#480	C₂²×C₆₁	1	1	yes	characteristic
919	#480	C₂²×C₆₁	1	1	yes	characteristic
920	#479	C₂²×C₆₁	1	1	yes	characteristic
921	#479	C₂²×C₆₁	1	1	yes	characteristic
922	#479	C₂²×C₆₁	1	1	yes	characteristic
923	#479	C₂²×C₆₁	1	1	yes	characteristic
924	#479	C₂²×C₆₁	1	1	yes	characteristic
925	#479	C₂²×C₆₁	1	1	yes	characteristic
926	#479	C₂²×C₆₁	1	1	yes	characteristic
927	#478	C₂²×C₆₁	1	1	yes	characteristic
928	#478	C₂²×C₆₁	1	1	yes	characteristic
929	#478	C₂²×C₆₁	1	1	yes	characteristic
930	#478	C₂²×C₆₁	1	1	yes	characteristic
931	#478	C₂²×C₆₁	1	1	yes	characteristic
932	#478	C₂²×C₆₁	1	1	yes	characteristic
933	#478	C₂²×C₆₁	1	1	yes	characteristic
934	#478	C₂²×C₆₁	1	1	yes	characteristic
935	#478	C₂²×C₆₁	1	1	yes	characteristic
936	#478	C₂²×C₆₁	1	1	yes	characteristic
937	#478	C₂²×C₆₁	1	1	yes	characteristic
938	#478	C₂²×C₆₁	1	1	yes	characteristic
939	#478	C₂²×C₆₁	1	1	yes	characteristic
940	#478	C₂²×C₆₁	1	1	yes	characteristic
941	#478	C₂²×C₆₁	1	1	yes	characteristic
942	#477	C₂²×C₆₁	1	1	yes	characteristic
943	#477	C₂²×C₆₁	1	1	yes	characteristic
944	#477	C₂²×C₆₁	1	1	yes	characteristic
945	#476	C₂²×C₆₁	1	1	yes	characteristic
946	#476	C₂²×C₆₁	1	1	yes	characteristic
947	#476	C₂²×C₆₁	1	1	yes	characteristic
948	#476	C₂²×C₆₁	1	1	yes	characteristic
949	#476	C₂²×C₆₁	1	1	yes	characteristic
950	#475	C₂²×C₆₁	1	1	yes	characteristic
951	#475	C₂²×C₆₁	1	1	yes	characteristic
952	#474	C₂²×C₆₁	1	1	yes	characteristic
953	#474	C₂²×C₆₁	1	1	yes	characteristic
954	#474	C₂²×C₆₁	1	1	yes	characteristic
955	#474	C₂²×C₆₁	1	1	yes	characteristic
956	#464	C₂²×C₆₁	1	1	yes	characteristic
957	#464	C₂²×C₆₁	1	1	yes	characteristic
958	#464	C₂²×C₆₁	1	1	yes	characteristic
959	#463	C₂²×C₆₁	1	1	yes	characteristic
960	#463	C₂²×C₆₁	1	1	yes	characteristic
961	#463	C₂²×C₆₁	1	1	yes	characteristic
962	#460	C₂²×C₆₁	1	1	yes	characteristic
963	#460	C₂²×C₆₁	1	1	yes	characteristic
964	#460	C₂²×C₆₁	1	1	yes	characteristic
965	#459	C₂²×C₆₁	1	1	yes	characteristic
966	#459	C₂²×C₆₁	1	1	yes	characteristic
967	#459	C₂²×C₆₁	1	1	yes	characteristic
968	#452	C₂²×C₆₁	1	1	yes	characteristic
969	#449	C₂²×C₆₁	1	1	yes	characteristic
970	#449	C₂²×C₆₁	1	1	yes	characteristic
971	#449	C₂²×C₆₁	1	1	yes	characteristic
972	#446	C₂²×C₆₁	1	1	yes	characteristic
973	#446	C₂²×C₆₁	1	1	yes	characteristic
974	#446	C₂²×C₆₁	1	1	yes	characteristic
975	#446	C₂²×C₆₁	1	1	yes	characteristic
976	#446	C₂²×C₆₁	1	1	yes	characteristic
977	#446	C₂²×C₆₁	1	1	yes	characteristic
978	C₈×Q₈	C₂²×C₆₁	1	1	yes	characteristic
979	C₈×Q₈	C₂²×C₆₁	1	1	yes	characteristic
980	#442	C₂²×C₆₁	1	1	yes	characteristic
981	#442	C₂²×C₆₁	1	1	yes	characteristic
982	#442	C₂²×C₆₁	1	1	yes	characteristic
983	#442	C₂²×C₆₁	1	1	yes	characteristic
984	#441	C₂²×C₆₁	1	1	yes	characteristic
985	#441	C₂²×C₆₁	1	1	yes	characteristic
986	#440	C₂²×C₆₁	1	1	yes	characteristic
987	#440	C₂²×C₆₁	1	1	yes	characteristic
988	#440	C₂²×C₆₁	1	1	yes	characteristic
989	#440	C₂²×C₆₁	1	1	yes	characteristic
990	#440	C₂²×C₆₁	1	1	yes	characteristic
991	#440	C₂²×C₆₁	1	1	yes	characteristic
992	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
993	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
994	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
995	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
996	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
997	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
998	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
999	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1000	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1001	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1002	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1003	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1004	#433	C₂²×C₆₁	1	1	yes	characteristic
1005	#433	C₂²×C₆₁	1	1	yes	characteristic
1006	#433	C₂²×C₆₁	1	1	yes	characteristic
1007	#433	C₂²×C₆₁	1	1	yes	characteristic
1008	#432	C₂²×C₆₁	1	1	yes	characteristic
1009	#431	C₂²×C₆₁	1	1	yes	characteristic
1010	C₆₁	#61861	1	1	yes	characteristic, direct product factor, Sylow
1011	C₂×#41	—	2	1	no	—
1012	C₂×#41	—	2	1	no	—
1013	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1014	C₂²×Q₈	—	2	1	no	—
1015	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1016	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1017	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1018	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1019	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1020	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1021	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1022	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1023	C₄⋊Q₈	—	2	1	no	—
1024	C₄⋊Q₈	—	2	1	no	—
1025	C₄⋊Q₈	—	2	1	no	—
1026	C₄⋊Q₈	—	2	1	no	—
1027	C₄⋊Q₈	—	2	1	no	—
1028	C₄⋊Q₈	—	2	1	no	—
1029	C₄⋊Q₈	—	2	1	no	—
1030	C₄⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1031	C₄⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1032	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1033	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1034	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1035	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1036	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1037	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1038	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1039	#127	C₂³×C₆₁	1	1	yes	characteristic
1040	#127	C₂³×C₆₁	1	1	yes	characteristic
1041	#127	C₂³×C₆₁	1	1	yes	characteristic
1042	#126	—	2	1	no	—
1043	#126	—	2	1	no	—
1044	#126	—	2	1	no	—
1045	#125	—	2	1	no	—
1046	#125	—	2	1	no	—
1047	#125	—	2	1	no	—
1048	#125	—	2	1	no	—
1049	#125	—	2	1	no	—
1050	#125	—	2	1	no	—
1051	#125	—	2	1	no	—
1052	#125	—	2	1	no	—
1053	#125	—	2	1	no	—
1054	#125	—	2	1	no	—
1055	#125	—	2	1	no	—
1056	#125	—	2	1	no	—
1057	#125	—	2	1	no	—
1058	#125	—	2	1	no	—
1059	#125	D₄×C₆₁	1	1	yes	characteristic
1060	#125	D₄×C₆₁	1	1	yes	characteristic
1061	#125	C₂³×C₆₁	1	1	yes	characteristic
1062	#125	C₂³×C₆₁	1	1	yes	characteristic
1063	#125	C₂³×C₆₁	1	1	yes	characteristic
1064	#125	C₂³×C₆₁	1	1	yes	characteristic
1065	#125	C₂³×C₆₁	1	1	yes	characteristic
1066	#125	C₂³×C₆₁	1	1	yes	characteristic
1067	#125	C₂³×C₆₁	1	1	yes	characteristic
1068	#125	C₂³×C₆₁	1	1	yes	characteristic
1069	#125	C₂³×C₆₁	1	1	yes	characteristic
1070	#125	C₂³×C₆₁	1	1	yes	characteristic
1071	#125	C₂³×C₆₁	1	1	yes	characteristic
1072	#124	—	2	1	no	—
1073	#124	—	2	1	no	—
1074	#124	—	2	1	no	—
1075	#124	—	2	1	no	—
1076	#124	—	2	1	no	—
1077	#124	—	2	1	no	—
1078	#124	C₂³×C₆₁	1	1	yes	characteristic
1079	#124	C₂³×C₆₁	1	1	yes	characteristic
1080	#124	C₂³×C₆₁	1	1	yes	characteristic
1081	#123	—	2	1	no	—
1082	#123	—	2	1	no	—
1083	#123	—	2	1	no	—
1084	#123	—	2	1	no	—
1085	#123	—	2	1	no	—
1086	#123	—	2	1	no	—
1087	#123	—	2	1	no	—
1088	#123	—	2	1	no	—
1089	#123	—	2	1	no	—
1090	#123	—	2	1	no	—
1091	#123	—	2	1	no	—
1092	#123	—	2	1	no	—
1093	#123	—	2	1	no	—
1094	C₂²⋊Q₈	—	2	1	no	—
1095	C₂²⋊Q₈	—	2	1	no	—
1096	C₂²⋊Q₈	—	2	1	no	—
1097	C₂²⋊Q₈	—	2	1	no	—
1098	C₂²⋊Q₈	—	2	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	—	2	1	no	—
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	2	1	no	—
1104	C₂²⋊Q₈	—	2	1	no	—
1105	C₂²⋊Q₈	—	2	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	2	1	no	—
1108	C₂²⋊Q₈	—	2	1	no	—
1109	C₂²⋊Q₈	—	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	—	2	1	no	—
1121	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1122	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1123	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1124	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1125	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
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	C₄×Q₈	—	2	1	no	—
1138	C₄×Q₈	—	2	1	no	—
1139	C₄×Q₈	—	2	1	no	—
1140	C₄×Q₈	—	2	1	no	—
1141	C₄×Q₈	—	2	1	no	—
1142	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1143	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1144	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1145	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1146	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1147	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1148	C₄×Q₈	C₂³×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×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	2	1	no	—
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	C₂³×C₆₁	1	1	yes	characteristic
1167	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1168	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1169	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1170	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1171	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1172	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1173	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1174	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1175	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1176	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1177	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1178	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1179	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1180	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1181	#117	—	2	1	no	—
1182	#117	—	2	1	no	—
1183	#117	—	2	1	no	—
1184	#117	—	2	1	no	—
1185	#117	C₂³×C₆₁	1	1	yes	characteristic
1186	#117	C₂³×C₆₁	1	1	yes	characteristic
1187	#117	C₂³×C₆₁	1	1	yes	characteristic
1188	C₂×C₄⋊C₄	—	2	1	no	—
1189	C₂×C₄⋊C₄	—	2	1	no	—
1190	C₂×C₄⋊C₄	—	2	1	no	—
1191	C₂×C₄⋊C₄	—	2	1	no	—
1192	C₂×C₄⋊C₄	—	2	1	no	—
1193	C₂×C₄⋊C₄	—	2	1	no	—
1194	C₂×C₄⋊C₄	—	2	1	no	—
1195	C₂×C₄⋊C₄	—	2	1	no	—
1196	C₂×C₄⋊C₄	—	2	1	no	—
1197	C₂×C₄⋊C₄	—	2	1	no	—
1198	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1199	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1200	C₂×C₄²	—	2	1	no	—
1201	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1202	#107	C₂³×C₆₁	1	1	yes	characteristic
1203	#107	C₂³×C₆₁	1	1	yes	characteristic
1204	#107	C₂³×C₆₁	1	1	yes	characteristic
1205	#107	C₂³×C₆₁	1	1	yes	characteristic
1206	#107	C₂³×C₆₁	1	1	yes	characteristic
1207	#107	C₂³×C₆₁	1	1	yes	characteristic
1208	#107	C₂³×C₆₁	1	1	yes	characteristic
1209	#107	C₂³×C₆₁	1	1	yes	characteristic
1210	#107	C₂³×C₆₁	1	1	yes	characteristic
1211	#107	C₂³×C₆₁	1	1	yes	characteristic
1212	#107	C₂³×C₆₁	1	1	yes	characteristic
1213	#107	C₂³×C₆₁	1	1	yes	characteristic
1214	#106	C₂³×C₆₁	1	1	yes	characteristic
1215	#106	C₂³×C₆₁	1	1	yes	characteristic
1216	#106	C₂³×C₆₁	1	1	yes	characteristic
1217	#106	C₂³×C₆₁	1	1	yes	characteristic
1218	#106	C₂³×C₆₁	1	1	yes	characteristic
1219	#106	C₂³×C₆₁	1	1	yes	characteristic
1220	#106	C₂³×C₆₁	1	1	yes	characteristic
1221	#106	C₂³×C₆₁	1	1	yes	characteristic
1222	#106	C₂³×C₆₁	1	1	yes	characteristic
1223	#106	C₂³×C₆₁	1	1	yes	characteristic
1224	#106	C₂³×C₆₁	1	1	yes	characteristic
1225	#106	C₂³×C₆₁	1	1	yes	characteristic
1226	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1227	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1228	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1229	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1230	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1231	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1232	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1233	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1234	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1235	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1236	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1237	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1238	#103	C₂³×C₆₁	1	1	yes	characteristic
1239	#103	C₂³×C₆₁	1	1	yes	characteristic
1240	#103	C₂³×C₆₁	1	1	yes	characteristic
1241	#103	C₂³×C₆₁	1	1	yes	characteristic
1242	#103	C₂³×C₆₁	1	1	yes	characteristic
1243	#103	C₂³×C₆₁	1	1	yes	characteristic
1244	#103	C₂³×C₆₁	1	1	yes	characteristic
1245	#103	C₂³×C₆₁	1	1	yes	characteristic
1246	#103	C₂³×C₆₁	1	1	yes	characteristic
1247	#103	C₂³×C₆₁	1	1	yes	characteristic
1248	#102	C₂³×C₆₁	1	1	yes	characteristic
1249	#102	C₂³×C₆₁	1	1	yes	characteristic
1250	#102	C₂³×C₆₁	1	1	yes	characteristic
1251	#102	C₂³×C₆₁	1	1	yes	characteristic
1252	#102	C₂³×C₆₁	1	1	yes	characteristic
1253	#102	C₂³×C₆₁	1	1	yes	characteristic
1254	#102	C₂³×C₆₁	1	1	yes	characteristic
1255	#102	C₂³×C₆₁	1	1	yes	characteristic
1256	#102	C₂³×C₆₁	1	1	yes	characteristic
1257	#102	C₂³×C₆₁	1	1	yes	characteristic
1258	#102	C₂³×C₆₁	1	1	yes	characteristic
1259	#102	C₂³×C₆₁	1	1	yes	characteristic
1260	#102	C₂³×C₆₁	1	1	yes	characteristic
1261	#102	C₂³×C₆₁	1	1	yes	characteristic
1262	#102	C₂³×C₆₁	1	1	yes	characteristic
1263	#102	C₂³×C₆₁	1	1	yes	characteristic
1264	#102	C₂³×C₆₁	1	1	yes	characteristic
1265	#102	C₂³×C₆₁	1	1	yes	characteristic
1266	#102	C₂³×C₆₁	1	1	yes	characteristic
1267	#102	C₂³×C₆₁	1	1	yes	characteristic
1268	#102	C₂³×C₆₁	1	1	yes	characteristic
1269	#102	C₂³×C₆₁	1	1	yes	characteristic
1270	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1271	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1272	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1273	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1274	#97	C₂³×C₆₁	1	1	yes	characteristic
1275	#97	C₂³×C₆₁	1	1	yes	characteristic
1276	#97	C₂³×C₆₁	1	1	yes	characteristic
1277	#97	C₂³×C₆₁	1	1	yes	characteristic
1278	#97	C₂³×C₆₁	1	1	yes	characteristic
1279	#97	C₂³×C₆₁	1	1	yes	characteristic
1280	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1281	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1282	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1283	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1284	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1285	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1286	#41	—	2	2	no	—
1287	#41	—	2	2	no	—
1288	#41	—	8	2	no	—
1289	#41	—	8	2	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	2	1	no	—
1292	C₂×Q₈	—	2	1	no	—
1293	C₂×Q₈	—	2	1	no	—
1294	C₂×Q₈	—	2	1	no	—
1295	C₂×Q₈	—	2	1	no	—
1296	C₂×Q₈	—	2	1	no	—
1297	C₂×Q₈	—	8	2	no	—
1298	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1299	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1300	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1301	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1302	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1303	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1304	C₂×D₄	—	2	1	no	—
1305	C₂×D₄	—	2	1	no	—
1306	C₂×D₄	—	2	1	no	—
1307	C₂×D₄	—	2	1	no	—
1308	C₂×D₄	—	2	1	no	—
1309	C₂×D₄	—	2	1	no	—
1310	C₂×D₄	—	2	1	no	—
1311	C₂×D₄	—	2	1	no	—
1312	C₂×D₄	—	2	1	no	—
1313	C₂×D₄	—	2	1	no	—
1314	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1315	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1316	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1317	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	2	1	no	—
1320	C₂²×C₄	—	2	1	no	—
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	—	2	1	no	—
1323	C₂²×C₄	—	2	1	no	—
1324	C₂²×C₄	—	2	1	no	—
1325	C₂²×C₄	—	2	1	no	—
1326	C₂²×C₄	—	2	1	no	—
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	2	1	no	—
1335	C₂²×C₄	—	2	1	no	—
1336	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1337	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1338	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1339	Q₁₆	—	2	2	no	—
1340	SD₁₆	—	2	2	no	—
1341	SD₁₆	—	2	2	no	—
1342	SD₁₆	—	2	2	no	—
1343	SD₁₆	—	2	2	no	—
1344	D₈	—	2	2	no	—
1345	D₈	—	2	2	no	—
1346	D₈	—	2	2	no	—
1347	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1348	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1349	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1350	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1351	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1352	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1353	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1354	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1411	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1412	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1413	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1414	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1415	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1416	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1417	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1418	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1419	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1420	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1421	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1449	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1450	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1451	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1452	C₄²	—	2	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	2	1	no	—
1457	C₄²	—	2	1	no	—
1458	C₄²	—	2	1	no	—
1459	C₄²	—	2	1	no	—
1460	C₄²	—	2	1	no	—
1461	C₄²	—	2	1	no	—
1462	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1463	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1464	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1465	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1466	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1467	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1468	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1469	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1475	Q₈	—	2	1	no	—
1476	Q₈	—	2	1	no	—
1477	Q₈	—	2	1	no	—
1478	Q₈	—	4	1	no	—
1479	Q₈	—	4	1	no	—
1480	Q₈	—	4	1	no	—
1481	Q₈	—	4	1	no	—
1482	Q₈	—	4	2	no	—
1483	Q₈	—	8	1	no	—
1484	Q₈	—	8	1	no	—
1485	Q₈	—	8	1	no	—
1486	Q₈	—	8	1	no	—
1487	Q₈	—	8	1	no	—
1488	Q₈	—	8	1	no	—
1489	Q₈	2₋¹⁺⁴×C₆₁	1	2	yes	—
1490	D₄	—	2	4	no	—
1491	D₄	—	2	1	no	—
1492	D₄	—	2	1	no	—
1493	D₄	—	2	1	no	—
1494	D₄	—	2	1	no	—
1495	D₄	—	2	1	no	—
1496	D₄	—	2	1	no	—
1497	D₄	—	2	1	no	—
1498	D₄	—	4	2	no	—
1499	D₄	—	8	1	no	—
1500	D₄	—	8	1	no	—
1501	D₄	—	8	1	no	—
1502	D₄	—	8	1	no	—
1503	D₄	—	8	1	no	—
1504	D₄	—	8	1	no	—
1505	D₄	—	8	1	no	—
1506	D₄	—	8	1	no	—
1507	D₄	2₋¹⁺⁴×C₆₁	1	2	yes	—
1508	C₂×C₄	—	2	4	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	1	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	8	1	no	—
1527	C₂×C₄	—	8	1	no	—
1528	C₂×C₄	—	8	1	no	—
1529	C₂×C₄	—	8	1	no	—
1530	C₂×C₄	—	8	1	no	—
1531	C₂×C₄	—	8	1	no	—
1532	C₂×C₄	—	8	1	no	—
1533	C₂×C₄	—	8	1	no	—
1534	C₂×C₄	—	8	1	no	—
1535	C₂×C₄	—	8	1	no	—
1536	C₂×C₄	—	8	1	no	—
1537	C₂×C₄	—	8	1	no	—
1538	C₂×C₄	—	8	1	no	—
1539	C₂×C₄	—	8	1	no	—
1540	C₂×C₄	—	8	1	no	—
1541	C₂×C₄	—	8	1	no	—
1542	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1543	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1544	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1545	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1546	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1547	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1548	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1549	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1550	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1551	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1552	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1553	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1554	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1555	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1556	C₈	—	2	1	no	—
1557	C₈	—	2	1	no	—
1558	C₈	—	2	1	no	—
1559	C₈	—	2	1	no	—
1560	C₈	—	2	1	no	—
1561	C₈	—	2	1	no	—
1562	C₈	—	2	1	no	—
1563	C₈	—	2	1	no	—
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	2	2	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1580	C₄	—	2	1	no	—
1581	C₄	—	2	1	no	—
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	2	2	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1606	C₄	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1607	C₂	—	4	1	no	—
1608	C₂	—	4	2	no	—
1609	C₂	—	8	1	no	—
1610	C₂	—	8	1	no	—
1611	C₂	—	8	1	no	—
1612	C₂	C₆₁×#3486	1	1	yes	characteristic
1613	C₂	C₆₁×#3584	1	1	yes	characteristic
1614	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×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3554	C₂	semidirect
2. C₆₁×#3504	C₂	semidirect
3. C₆₁×#3390	C₂	semidirect
4. C₆₁×#3389	C₂	semidirect
5. C₆₁×#3388	C₂	semidirect
6. C₆₁×#3388	C₂	semidirect
7. C₆₁×#3386	C₂	semidirect
8. C₆₁×#3384	C₂	semidirect
9. C₆₁×#3381	C₂	semidirect
10. C₆₁×#3380	C₂	semidirect
11. C₆₁×#3371	C₂	semidirect
12. C₆₁×#3371	C₂	semidirect
13. C₆₁×#3370	C₂	semidirect
14. C₆₁×#3370	C₂	semidirect
15. C₆₁×#3368	C₂	semidirect
16. C₆₁×#3366	C₂	semidirect
17. C₆₁×#3365	C₂	semidirect
18. C₆₁×#3361	C₂	semidirect
19. C₆₁×#3244	C₂	semidirect
20. C₆₁×#3243	C₂	semidirect
21. C₆₁×#3241	C₂	semidirect
22. C₆₁×#3241	C₂	semidirect
23. C₆₁×#3234	C₂	semidirect
24. C₆₁×#3232	C₂	semidirect
25. C₆₁×#3125	C₂	semidirect
26. C₆₁×#3124	C₂	semidirect
27. C₆₁×#3119	C₂	semidirect
28. C₆₁×#3119	C₂	semidirect
29. C₆₁×#3111	C₂	semidirect
30. C₆₁×#3106	C₂	semidirect
31. C₆₁×#2985	C₂	semidirect
756. #61861	C₆₁	direct (N × H)
800. #3554	C₂×C₆₁	semidirect
801. #3504	C₂×C₆₁	semidirect
802. #3390	C₂×C₆₁	semidirect
803. #3389	C₂×C₆₁	semidirect
804. #3388	C₂×C₆₁	semidirect
805. #3388	C₂×C₆₁	semidirect
806. #3386	C₂×C₆₁	semidirect
807. #3384	C₂×C₆₁	semidirect
808. #3381	C₂×C₆₁	semidirect
809. #3380	C₂×C₆₁	semidirect
810. #3371	C₂×C₆₁	semidirect
811. #3371	C₂×C₆₁	semidirect
812. #3370	C₂×C₆₁	semidirect
813. #3370	C₂×C₆₁	semidirect
814. #3368	C₂×C₆₁	semidirect
815. #3366	C₂×C₆₁	semidirect
816. #3365	C₂×C₆₁	semidirect
817. #3361	C₂×C₆₁	semidirect
818. #3244	C₂×C₆₁	semidirect
819. #3243	C₂×C₆₁	semidirect
820. #3241	C₂×C₆₁	semidirect
821. #3241	C₂×C₆₁	semidirect
822. #3234	C₂×C₆₁	semidirect
823. #3232	C₂×C₆₁	semidirect
824. #3125	C₂×C₆₁	semidirect
825. #3124	C₂×C₆₁	semidirect
826. #3119	C₂×C₆₁	semidirect
827. #3119	C₂×C₆₁	semidirect
828. #3111	C₂×C₆₁	semidirect
829. #3106	C₂×C₆₁	semidirect
830. #2985	C₂×C₆₁	semidirect
1010. C₆₁	#61861	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×#3554	2
C₆₁×#3504	2
C₆₁×#3390	2
C₆₁×#3389	2
C₆₁×#3388	2
C₆₁×#3386	2
C₆₁×#3384	2
C₆₁×#3381	2
C₆₁×#3380	2
C₆₁×#3371	2
C₆₁×#3370	2
C₆₁×#3368	2
C₆₁×#3366	2
C₆₁×#3365	2
C₆₁×#3361	2
C₆₁×#3244	2
C₆₁×#3243	2
C₆₁×#3241	2
C₆₁×#3234	2
C₆₁×#3232	2
C₆₁×#3125	2
C₆₁×#3124	2
C₆₁×#3119	2
C₆₁×#3111	2
C₆₁×#3106	2
C₆₁×#2985	2
#61861	61

Subgroups — C61×#61861 #29565294

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61861 #29565294