Subgroups — C₆₁×#61862 #29565295

Order 15616.

1614 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3555	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×#3387	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3385	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3383	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3381	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3377	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3377	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3374	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3364	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3360	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×#3242	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3242	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3236	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
26	C₆₁×#3124	C₂	1	1	yes	maximal, characteristic
27	C₆₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#3111	C₂	1	1	yes	maximal, characteristic
30	C₆₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₆₁×#563	—	2	1	no	—
33	C₆₁×#563	—	2	1	no	—
34	Q₈²×C₆₁	C₂²	1	1	yes	characteristic
35	C₆₁×#557	C₂²	1	1	yes	characteristic
36	C₆₁×#557	C₂²	1	1	yes	characteristic
37	C₆₁×#557	C₂²	1	1	yes	characteristic
38	C₆₁×#557	C₂²	1	1	yes	characteristic
39	C₆₁×#557	C₂²	1	1	yes	characteristic
40	C₆₁×#557	C₂²	1	1	yes	characteristic
41	C₆₁×#557	C₂²	1	1	yes	characteristic
42	C₆₁×#556	—	2	1	no	—
43	C₆₁×#556	C₂²	1	1	yes	characteristic
44	C₆₁×#556	C₂²	1	1	yes	characteristic
45	C₆₁×#556	C₂²	1	1	yes	characteristic
46	C₆₁×#554	—	2	1	no	—
47	C₆₁×#554	—	2	1	no	—
48	C₆₁×#554	—	2	1	no	—
49	C₆₁×#554	—	2	1	no	—
50	C₆₁×#554	C₂²	1	1	yes	characteristic
51	C₆₁×#554	C₂²	1	1	yes	characteristic
52	C₆₁×#554	C₂²	1	1	yes	characteristic
53	C₆₁×#554	C₂²	1	1	yes	characteristic
54	C₆₁×#554	C₂²	1	1	yes	characteristic
55	C₆₁×#552	—	2	1	no	—
56	C₆₁×#544	—	2	1	no	—
57	C₆₁×#544	—	2	1	no	—
58	C₆₁×#544	—	2	1	no	—
59	C₆₁×#544	C₂²	1	1	yes	characteristic
60	C₆₁×#544	C₂²	1	1	yes	characteristic
61	C₆₁×#542	C₂²	1	1	yes	characteristic
62	C₆₁×#542	C₂²	1	1	yes	characteristic
63	C₆₁×#541	—	2	1	no	—
64	C₆₁×#541	—	2	1	no	—
65	C₆₁×#541	—	2	1	no	—
66	C₆₁×#541	C₂²	1	1	yes	characteristic
67	C₆₁×#541	C₂²	1	1	yes	characteristic
68	C₆₁×#533	—	2	1	no	—
69	C₆₁×#533	C₂²	1	1	yes	characteristic
70	C₆₁×#533	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×#491	C₂²	1	1	yes	characteristic
90	C₆₁×#491	C₂²	1	1	yes	characteristic
91	C₆₁×#491	C₂²	1	1	yes	characteristic
92	C₆₁×#491	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×#487	C₂²	1	1	yes	characteristic
100	C₆₁×#487	C₂²	1	1	yes	characteristic
101	C₆₁×#485	C₂²	1	1	yes	characteristic
102	C₆₁×#485	C₂²	1	1	yes	characteristic
103	C₆₁×#485	C₂²	1	1	yes	characteristic
104	C₆₁×#484	C₂²	1	1	yes	characteristic
105	C₆₁×#484	C₂²	1	1	yes	characteristic
106	C₆₁×#484	C₂²	1	1	yes	characteristic
107	C₆₁×#483	C₂²	1	1	yes	characteristic
108	C₆₁×#483	C₂²	1	1	yes	characteristic
109	C₆₁×#483	C₂²	1	1	yes	characteristic
110	C₆₁×#482	C₂²	1	1	yes	characteristic
111	C₆₁×#481	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×#479	C₂²	1	1	yes	characteristic
121	C₆₁×#479	C₂²	1	1	yes	characteristic
122	C₆₁×#479	C₂²	1	1	yes	characteristic
123	C₆₁×#479	C₂²	1	1	yes	characteristic
124	C₆₁×#479	C₂²	1	1	yes	characteristic
125	C₆₁×#479	C₂²	1	1	yes	characteristic
126	C₆₁×#479	C₂²	1	1	yes	characteristic
127	C₆₁×#479	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×#477	C₂²	1	1	yes	characteristic
139	C₆₁×#476	C₂²	1	1	yes	characteristic
140	C₆₁×#476	C₂²	1	1	yes	characteristic
141	C₆₁×#475	C₂²	1	1	yes	characteristic
142	C₆₁×#475	C₂²	1	1	yes	characteristic
143	C₆₁×#475	C₂²	1	1	yes	characteristic
144	C₆₁×#475	C₂²	1	1	yes	characteristic
145	C₆₁×#475	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×#462	C₂²	1	1	yes	characteristic
156	C₆₁×#462	C₂²	1	1	yes	characteristic
157	C₆₁×#462	C₂²	1	1	yes	characteristic
158	C₆₁×#461	C₂²	1	1	yes	characteristic
159	C₆₁×#461	C₂²	1	1	yes	characteristic
160	C₆₁×#461	C₂²	1	1	yes	characteristic
161	C₆₁×#452	C₂²	1	1	yes	characteristic
162	C₆₁×#452	C₂²	1	1	yes	characteristic
163	C₆₁×#452	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×#441	C₂²	1	1	yes	characteristic
176	C₆₁×#441	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×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
187	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
188	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
189	C₄×Q₁₆×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×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
193	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
194	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
195	C₄×SD₁₆×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	C₂³	1	1	yes	characteristic
204	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
205	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
206	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
207	C₂×SD₁₆×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×D₈×C₆₁	C₂³	1	1	yes	characteristic
212	C₄⋊Q₈×C₆₁	—	2	1	no	—
213	C₄⋊Q₈×C₆₁	—	2	1	no	—
214	C₄⋊Q₈×C₆₁	—	2	1	no	—
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	—	2	1	no	—
223	C₄⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
224	C₄⋊Q₈×C₆₁	D₄	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	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
232	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
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	#126×C₆₁	—	2	1	no	—
244	#126×C₆₁	—	2	1	no	—
245	#126×C₆₁	—	2	1	no	—
246	#126×C₆₁	—	2	1	no	—
247	#126×C₆₁	—	2	1	no	—
248	#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	—	2	1	no	—
255	#125×C₆₁	—	2	1	no	—
256	#125×C₆₁	—	2	1	no	—
257	#125×C₆₁	—	2	1	no	—
258	#125×C₆₁	—	2	1	no	—
259	#125×C₆₁	—	2	1	no	—
260	#125×C₆₁	—	2	1	no	—
261	#125×C₆₁	—	2	1	no	—
262	#125×C₆₁	—	2	1	no	—
263	#125×C₆₁	—	2	1	no	—
264	#125×C₆₁	—	2	1	no	—
265	#125×C₆₁	—	2	1	no	—
266	#125×C₆₁	—	2	1	no	—
267	#125×C₆₁	—	2	1	no	—
268	#125×C₆₁	—	2	1	no	—
269	#125×C₆₁	—	2	1	no	—
270	#125×C₆₁	—	2	1	no	—
271	#125×C₆₁	—	2	1	no	—
272	#125×C₆₁	D₄	1	1	yes	characteristic
273	#125×C₆₁	D₄	1	1	yes	characteristic
274	#125×C₆₁	C₂³	1	1	yes	characteristic
275	#125×C₆₁	C₂³	1	1	yes	characteristic
276	#125×C₆₁	C₂³	1	1	yes	characteristic
277	#125×C₆₁	C₂³	1	1	yes	characteristic
278	#125×C₆₁	C₂³	1	1	yes	characteristic
279	#125×C₆₁	C₂³	1	1	yes	characteristic
280	#125×C₆₁	C₂³	1	1	yes	characteristic
281	#125×C₆₁	C₂³	1	1	yes	characteristic
282	#125×C₆₁	C₂³	1	1	yes	characteristic
283	#125×C₆₁	C₂³	1	1	yes	characteristic
284	#125×C₆₁	C₂³	1	1	yes	characteristic
285	#124×C₆₁	—	2	1	no	—
286	#124×C₆₁	—	2	1	no	—
287	#124×C₆₁	C₂³	1	1	yes	characteristic
288	#124×C₆₁	C₂³	1	1	yes	characteristic
289	#124×C₆₁	C₂³	1	1	yes	characteristic
290	#123×C₆₁	—	2	1	no	—
291	#123×C₆₁	—	2	1	no	—
292	#123×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	—	2	1	no	—
314	C₂²⋊Q₈×C₆₁	—	2	1	no	—
315	C₂²⋊Q₈×C₆₁	—	2	1	no	—
316	C₂²⋊Q₈×C₆₁	—	2	1	no	—
317	C₂²⋊Q₈×C₆₁	—	2	1	no	—
318	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
319	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
320	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
321	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
322	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
324	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
325	#121×C₆₁	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₆₁	—	2	1	no	—
327	C₄×Q₈×C₆₁	—	2	1	no	—
328	C₄×Q₈×C₆₁	—	2	1	no	—
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	—	2	1	no	—
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×Q₈×C₆₁	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
354	C₄×D₄×C₆₁	—	2	1	no	—
355	C₄×D₄×C₆₁	—	2	1	no	—
356	C₄×D₄×C₆₁	—	2	1	no	—
357	C₄×D₄×C₆₁	—	2	1	no	—
358	C₄×D₄×C₆₁	—	2	1	no	—
359	C₄×D₄×C₆₁	—	2	1	no	—
360	C₄×D₄×C₆₁	—	2	1	no	—
361	C₄×D₄×C₆₁	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	#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	—	2	1	no	—
377	#117×C₆₁	—	2	1	no	—
378	#117×C₆₁	C₂³	1	1	yes	characteristic
379	#117×C₆₁	C₂³	1	1	yes	characteristic
380	#117×C₆₁	C₂³	1	1	yes	characteristic
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	#103×C₆₁	C₂³	1	1	yes	characteristic
441	#103×C₆₁	C₂³	1	1	yes	characteristic
442	#103×C₆₁	C₂³	1	1	yes	characteristic
443	#103×C₆₁	C₂³	1	1	yes	characteristic
444	#103×C₆₁	C₂³	1	1	yes	characteristic
445	#103×C₆₁	C₂³	1	1	yes	characteristic
446	#103×C₆₁	C₂³	1	1	yes	characteristic
447	#103×C₆₁	C₂³	1	1	yes	characteristic
448	#103×C₆₁	C₂³	1	1	yes	characteristic
449	#103×C₆₁	C₂³	1	1	yes	characteristic
450	#103×C₆₁	C₂³	1	1	yes	characteristic
451	#103×C₆₁	C₂³	1	1	yes	characteristic
452	#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	C₂×Q₈×C₆₁	—	2	1	no	—
481	C₂×Q₈×C₆₁	—	2	1	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	C₂×D₄	1	1	yes	characteristic
488	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
489	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₆₁	C₂⁴	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	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₆₁	—	2	1	no	—
500	C₂²×C₄×C₆₁	—	2	1	no	—
501	C₂²×C₄×C₆₁	—	2	1	no	—
502	C₂²×C₄×C₆₁	—	2	1	no	—
503	C₂²×C₄×C₆₁	—	2	1	no	—
504	C₂²×C₄×C₆₁	—	2	1	no	—
505	C₂²×C₄×C₆₁	—	2	1	no	—
506	C₂²×C₄×C₆₁	—	2	1	no	—
507	C₂²×C₄×C₆₁	—	2	1	no	—
508	C₂²×C₄×C₆₁	—	2	1	no	—
509	C₂²×C₄×C₆₁	—	2	1	no	—
510	C₂²×C₄×C₆₁	—	2	1	no	—
511	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
512	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
514	Q₁₆×C₆₁	—	2	2	no	—
515	Q₁₆×C₆₁	—	2	2	no	—
516	Q₁₆×C₆₁	—	2	2	no	—
517	SD₁₆×C₆₁	—	2	2	no	—
518	SD₁₆×C₆₁	—	2	2	no	—
519	SD₁₆×C₆₁	—	2	2	no	—
520	SD₁₆×C₆₁	—	2	2	no	—
521	D₈×C₆₁	—	2	2	no	—
522	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
523	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
524	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
525	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
526	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
527	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
528	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
529	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
530	C₄⋊C₄×C₆₁	—	2	1	no	—
531	C₄⋊C₄×C₆₁	—	2	1	no	—
532	C₄⋊C₄×C₆₁	—	2	1	no	—
533	C₄⋊C₄×C₆₁	—	2	1	no	—
534	C₄⋊C₄×C₆₁	—	2	1	no	—
535	C₄⋊C₄×C₆₁	—	2	1	no	—
536	C₄⋊C₄×C₆₁	—	2	1	no	—
537	C₄⋊C₄×C₆₁	—	2	1	no	—
538	C₄⋊C₄×C₆₁	—	2	1	no	—
539	C₄⋊C₄×C₆₁	—	2	1	no	—
540	C₄⋊C₄×C₆₁	—	2	1	no	—
541	C₄⋊C₄×C₆₁	—	2	1	no	—
542	C₄⋊C₄×C₆₁	—	2	1	no	—
543	C₄⋊C₄×C₆₁	—	2	1	no	—
544	C₄⋊C₄×C₆₁	—	2	1	no	—
545	C₄⋊C₄×C₆₁	—	2	1	no	—
546	C₄⋊C₄×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
586	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
587	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
602	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
603	C₄⋊C₄×C₆₁	C₂⁴	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	C₂²⋊C₄×C₆₁	—	2	1	no	—
612	C₂²⋊C₄×C₆₁	—	2	1	no	—
613	C₂²⋊C₄×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
632	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
633	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
634	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₆₁	—	2	1	no	—
636	C₄²×C₆₁	—	2	1	no	—
637	C₄²×C₆₁	—	2	1	no	—
638	C₄²×C₆₁	—	2	1	no	—
639	C₄²×C₆₁	—	2	1	no	—
640	C₄²×C₆₁	—	2	1	no	—
641	C₄²×C₆₁	—	2	1	no	—
642	C₄²×C₆₁	—	2	1	no	—
643	C₄²×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
653	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
654	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
655	C₄²×C₆₁	C₂⁴	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	C₂³×C₆₁	—	2	1	no	—
660	C₂³×C₆₁	—	2	1	no	—
661	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
662	Q₈×C₆₁	—	2	1	no	—
663	Q₈×C₆₁	—	2	1	no	—
664	Q₈×C₆₁	—	2	1	no	—
665	Q₈×C₆₁	—	2	1	no	—
666	Q₈×C₆₁	—	2	1	no	—
667	Q₈×C₆₁	—	2	1	no	—
668	Q₈×C₆₁	—	2	1	no	—
669	Q₈×C₆₁	—	4	1	no	—
670	Q₈×C₆₁	—	4	1	no	—
671	Q₈×C₆₁	—	4	1	no	—
672	Q₈×C₆₁	—	4	1	no	—
673	Q₈×C₆₁	—	8	1	no	—
674	Q₈×C₆₁	—	8	1	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	2₋¹⁺⁴	1	2	yes	—
681	D₄×C₆₁	—	2	4	no	—
682	D₄×C₆₁	—	2	1	no	—
683	D₄×C₆₁	—	2	1	no	—
684	D₄×C₆₁	—	2	1	no	—
685	D₄×C₆₁	—	8	1	no	—
686	D₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
687	C₂×C₄×C₆₁	—	2	4	no	—
688	C₂×C₄×C₆₁	—	2	1	no	—
689	C₂×C₄×C₆₁	—	2	1	no	—
690	C₂×C₄×C₆₁	—	2	1	no	—
691	C₂×C₄×C₆₁	—	2	1	no	—
692	C₂×C₄×C₆₁	—	2	1	no	—
693	C₂×C₄×C₆₁	—	2	1	no	—
694	C₂×C₄×C₆₁	—	2	1	no	—
695	C₂×C₄×C₆₁	—	2	1	no	—
696	C₂×C₄×C₆₁	—	2	1	no	—
697	C₂×C₄×C₆₁	—	2	1	no	—
698	C₂×C₄×C₆₁	—	2	1	no	—
699	C₂×C₄×C₆₁	—	2	1	no	—
700	C₂×C₄×C₆₁	—	2	1	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	—	4	1	no	—
705	C₂×C₄×C₆₁	—	4	1	no	—
706	C₂×C₄×C₆₁	—	4	2	no	—
707	C₂×C₄×C₆₁	—	8	1	no	—
708	C₂×C₄×C₆₁	—	8	1	no	—
709	C₂×C₄×C₆₁	—	8	1	no	—
710	C₂×C₄×C₆₁	—	8	1	no	—
711	C₂×C₄×C₆₁	—	8	1	no	—
712	C₂×C₄×C₆₁	—	8	1	no	—
713	C₂×C₄×C₆₁	—	8	1	no	—
714	C₂×C₄×C₆₁	—	8	1	no	—
715	C₂×C₄×C₆₁	—	8	1	no	—
716	C₂×C₄×C₆₁	—	8	1	no	—
717	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
718	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
719	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
720	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
721	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
722	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
723	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
724	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
725	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
726	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
727	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
728	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
729	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
730	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
731	C₈×C₆₁	—	2	1	no	—
732	C₈×C₆₁	—	2	1	no	—
733	C₈×C₆₁	—	2	1	no	—
734	C₈×C₆₁	—	2	1	no	—
735	C₈×C₆₁	—	2	1	no	—
736	C₈×C₆₁	—	2	1	no	—
737	C₈×C₆₁	—	2	1	no	—
738	C₈×C₆₁	—	2	1	no	—
739	#61862	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
740	C₂²×C₆₁	—	2	1	no	—
741	C₂²×C₆₁	—	2	1	no	—
742	C₂²×C₆₁	—	2	1	no	—
743	C₂²×C₆₁	—	2	2	no	—
744	C₂²×C₆₁	—	4	1	no	—
745	C₂²×C₆₁	—	4	1	no	—
746	C₂²×C₆₁	—	4	1	no	—
747	C₂²×C₆₁	—	4	1	no	—
748	C₂²×C₆₁	—	4	1	no	—
749	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
750	C₄×C₆₁	—	2	1	no	—
751	C₄×C₆₁	—	2	1	no	—
752	C₄×C₆₁	—	2	1	no	—
753	C₄×C₆₁	—	2	1	no	—
754	C₄×C₆₁	—	2	1	no	—
755	C₄×C₆₁	—	2	1	no	—
756	C₄×C₆₁	—	2	1	no	—
757	C₄×C₆₁	—	2	1	no	—
758	C₄×C₆₁	—	2	1	no	—
759	C₄×C₆₁	—	2	1	no	—
760	C₄×C₆₁	—	2	1	no	—
761	C₄×C₆₁	—	2	1	no	—
762	C₄×C₆₁	—	2	1	no	—
763	C₄×C₆₁	—	2	2	no	—
764	C₄×C₆₁	—	4	1	no	—
765	C₄×C₆₁	—	4	1	no	—
766	C₄×C₆₁	—	4	1	no	—
767	C₄×C₆₁	—	4	1	no	—
768	C₄×C₆₁	—	4	1	no	—
769	C₄×C₆₁	—	4	1	no	—
770	C₄×C₆₁	—	4	1	no	—
771	C₄×C₆₁	—	4	1	no	—
772	C₄×C₆₁	—	4	1	no	—
773	C₄×C₆₁	—	4	1	no	—
774	C₄×C₆₁	—	4	1	no	—
775	C₄×C₆₁	—	4	1	no	—
776	C₄×C₆₁	—	4	1	no	—
777	C₄×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
778	C₄×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
779	#3555	C₂×C₆₁	1	1	yes	characteristic, complemented
780	#3504	C₂×C₆₁	1	1	yes	characteristic, complemented
781	#3390	C₂×C₆₁	1	1	yes	characteristic, complemented
782	#3389	C₂×C₆₁	1	1	yes	characteristic, complemented
783	#3388	C₂×C₆₁	1	1	yes	characteristic, complemented
784	#3388	C₂×C₆₁	1	1	yes	characteristic, complemented
785	#3387	C₂×C₆₁	1	1	yes	characteristic, complemented
786	#3385	C₂×C₆₁	1	1	yes	characteristic, complemented
787	#3383	C₂×C₆₁	1	1	yes	characteristic, complemented
788	#3381	C₂×C₆₁	1	1	yes	characteristic, complemented
789	#3377	C₂×C₆₁	1	1	yes	characteristic, complemented
790	#3377	C₂×C₆₁	1	1	yes	characteristic, complemented
791	#3376	C₂×C₆₁	1	1	yes	characteristic, complemented
792	#3376	C₂×C₆₁	1	1	yes	characteristic, complemented
793	#3374	C₂×C₆₁	1	1	yes	characteristic, complemented
794	#3372	C₂×C₆₁	1	1	yes	characteristic, complemented
795	#3364	C₂×C₆₁	1	1	yes	characteristic, complemented
796	#3360	C₂×C₆₁	1	1	yes	characteristic, complemented
797	#3244	C₂×C₆₁	1	1	yes	characteristic, complemented
798	#3243	C₂×C₆₁	1	1	yes	characteristic, complemented
799	#3242	C₂×C₆₁	1	1	yes	characteristic, complemented
800	#3242	C₂×C₆₁	1	1	yes	characteristic, complemented
801	#3236	C₂×C₆₁	1	1	yes	characteristic, complemented
802	#3232	C₂×C₆₁	1	1	yes	characteristic, complemented
803	#3125	C₂×C₆₁	1	1	yes	characteristic
804	#3124	C₂×C₆₁	1	1	yes	characteristic
805	#3120	C₂×C₆₁	1	1	yes	characteristic, complemented
806	#3120	C₂×C₆₁	1	1	yes	characteristic, complemented
807	#3111	C₂×C₆₁	1	1	yes	characteristic
808	#3107	C₂×C₆₁	1	1	yes	characteristic, complemented
809	#2985	C₂×C₆₁	1	1	yes	characteristic, complemented
810	C₂×C₆₁	—	4	1	no	—
811	C₂×C₆₁	—	4	2	no	—
812	C₂×C₆₁	—	8	1	no	—
813	C₂×C₆₁	#3486	1	1	yes	characteristic
814	C₂×C₆₁	#3584	1	1	yes	characteristic
815	C₂×C₆₁	#3586	1	1	yes	characteristic
816	#563	—	2	1	no	—
817	#563	—	2	1	no	—
818	Q₈²	C₂²×C₆₁	1	1	yes	characteristic
819	#557	C₂²×C₆₁	1	1	yes	characteristic
820	#557	C₂²×C₆₁	1	1	yes	characteristic
821	#557	C₂²×C₆₁	1	1	yes	characteristic
822	#557	C₂²×C₆₁	1	1	yes	characteristic
823	#557	C₂²×C₆₁	1	1	yes	characteristic
824	#557	C₂²×C₆₁	1	1	yes	characteristic
825	#557	C₂²×C₆₁	1	1	yes	characteristic
826	#556	—	2	1	no	—
827	#556	C₂²×C₆₁	1	1	yes	characteristic
828	#556	C₂²×C₆₁	1	1	yes	characteristic
829	#556	C₂²×C₆₁	1	1	yes	characteristic
830	#554	—	2	1	no	—
831	#554	—	2	1	no	—
832	#554	—	2	1	no	—
833	#554	—	2	1	no	—
834	#554	C₂²×C₆₁	1	1	yes	characteristic
835	#554	C₂²×C₆₁	1	1	yes	characteristic
836	#554	C₂²×C₆₁	1	1	yes	characteristic
837	#554	C₂²×C₆₁	1	1	yes	characteristic
838	#554	C₂²×C₆₁	1	1	yes	characteristic
839	#552	—	2	1	no	—
840	#544	—	2	1	no	—
841	#544	—	2	1	no	—
842	#544	—	2	1	no	—
843	#544	C₂²×C₆₁	1	1	yes	characteristic
844	#544	C₂²×C₆₁	1	1	yes	characteristic
845	#542	C₂²×C₆₁	1	1	yes	characteristic
846	#542	C₂²×C₆₁	1	1	yes	characteristic
847	#541	—	2	1	no	—
848	#541	—	2	1	no	—
849	#541	—	2	1	no	—
850	#541	C₂²×C₆₁	1	1	yes	characteristic
851	#541	C₂²×C₆₁	1	1	yes	characteristic
852	#533	—	2	1	no	—
853	#533	C₂²×C₆₁	1	1	yes	characteristic
854	#533	C₂²×C₆₁	1	1	yes	characteristic
855	#529	C₂²×C₆₁	1	1	yes	characteristic
856	C₂×#125	—	2	1	no	—
857	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic
858	#520	C₂²×C₆₁	1	1	yes	characteristic
859	#520	C₂²×C₆₁	1	1	yes	characteristic
860	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
861	#501	C₂²×C₆₁	1	1	yes	characteristic
862	#501	C₂²×C₆₁	1	1	yes	characteristic
863	#501	C₂²×C₆₁	1	1	yes	characteristic
864	#501	C₂²×C₆₁	1	1	yes	characteristic
865	#501	C₂²×C₆₁	1	1	yes	characteristic
866	#501	C₂²×C₆₁	1	1	yes	characteristic
867	#500	C₂²×C₆₁	1	1	yes	characteristic
868	#499	C₂²×C₆₁	1	1	yes	characteristic
869	#499	C₂²×C₆₁	1	1	yes	characteristic
870	#499	C₂²×C₆₁	1	1	yes	characteristic
871	#499	C₂²×C₆₁	1	1	yes	characteristic
872	#498	C₂²×C₆₁	1	1	yes	characteristic
873	#491	C₂²×C₆₁	1	1	yes	characteristic
874	#491	C₂²×C₆₁	1	1	yes	characteristic
875	#491	C₂²×C₆₁	1	1	yes	characteristic
876	#491	C₂²×C₆₁	1	1	yes	characteristic
877	#489	C₂²×C₆₁	1	1	yes	characteristic
878	#489	C₂²×C₆₁	1	1	yes	characteristic
879	#488	C₂²×C₆₁	1	1	yes	characteristic
880	#488	C₂²×C₆₁	1	1	yes	characteristic
881	#488	C₂²×C₆₁	1	1	yes	characteristic
882	#488	C₂²×C₆₁	1	1	yes	characteristic
883	#487	C₂²×C₆₁	1	1	yes	characteristic
884	#487	C₂²×C₆₁	1	1	yes	characteristic
885	#485	C₂²×C₆₁	1	1	yes	characteristic
886	#485	C₂²×C₆₁	1	1	yes	characteristic
887	#485	C₂²×C₆₁	1	1	yes	characteristic
888	#484	C₂²×C₆₁	1	1	yes	characteristic
889	#484	C₂²×C₆₁	1	1	yes	characteristic
890	#484	C₂²×C₆₁	1	1	yes	characteristic
891	#483	C₂²×C₆₁	1	1	yes	characteristic
892	#483	C₂²×C₆₁	1	1	yes	characteristic
893	#483	C₂²×C₆₁	1	1	yes	characteristic
894	#482	C₂²×C₆₁	1	1	yes	characteristic
895	#481	C₂²×C₆₁	1	1	yes	characteristic
896	#480	C₂²×C₆₁	1	1	yes	characteristic
897	#479	C₂²×C₆₁	1	1	yes	characteristic
898	#479	C₂²×C₆₁	1	1	yes	characteristic
899	#479	C₂²×C₆₁	1	1	yes	characteristic
900	#479	C₂²×C₆₁	1	1	yes	characteristic
901	#479	C₂²×C₆₁	1	1	yes	characteristic
902	#479	C₂²×C₆₁	1	1	yes	characteristic
903	#479	C₂²×C₆₁	1	1	yes	characteristic
904	#479	C₂²×C₆₁	1	1	yes	characteristic
905	#479	C₂²×C₆₁	1	1	yes	characteristic
906	#479	C₂²×C₆₁	1	1	yes	characteristic
907	#479	C₂²×C₆₁	1	1	yes	characteristic
908	#479	C₂²×C₆₁	1	1	yes	characteristic
909	#479	C₂²×C₆₁	1	1	yes	characteristic
910	#479	C₂²×C₆₁	1	1	yes	characteristic
911	#479	C₂²×C₆₁	1	1	yes	characteristic
912	#478	C₂²×C₆₁	1	1	yes	characteristic
913	#478	C₂²×C₆₁	1	1	yes	characteristic
914	#478	C₂²×C₆₁	1	1	yes	characteristic
915	#478	C₂²×C₆₁	1	1	yes	characteristic
916	#478	C₂²×C₆₁	1	1	yes	characteristic
917	#478	C₂²×C₆₁	1	1	yes	characteristic
918	#478	C₂²×C₆₁	1	1	yes	characteristic
919	#477	C₂²×C₆₁	1	1	yes	characteristic
920	#477	C₂²×C₆₁	1	1	yes	characteristic
921	#477	C₂²×C₆₁	1	1	yes	characteristic
922	#477	C₂²×C₆₁	1	1	yes	characteristic
923	#476	C₂²×C₆₁	1	1	yes	characteristic
924	#476	C₂²×C₆₁	1	1	yes	characteristic
925	#475	C₂²×C₆₁	1	1	yes	characteristic
926	#475	C₂²×C₆₁	1	1	yes	characteristic
927	#475	C₂²×C₆₁	1	1	yes	characteristic
928	#475	C₂²×C₆₁	1	1	yes	characteristic
929	#475	C₂²×C₆₁	1	1	yes	characteristic
930	#474	C₂²×C₆₁	1	1	yes	characteristic
931	#474	C₂²×C₆₁	1	1	yes	characteristic
932	#474	C₂²×C₆₁	1	1	yes	characteristic
933	#464	C₂²×C₆₁	1	1	yes	characteristic
934	#464	C₂²×C₆₁	1	1	yes	characteristic
935	#464	C₂²×C₆₁	1	1	yes	characteristic
936	#463	C₂²×C₆₁	1	1	yes	characteristic
937	#463	C₂²×C₆₁	1	1	yes	characteristic
938	#463	C₂²×C₆₁	1	1	yes	characteristic
939	#462	C₂²×C₆₁	1	1	yes	characteristic
940	#462	C₂²×C₆₁	1	1	yes	characteristic
941	#462	C₂²×C₆₁	1	1	yes	characteristic
942	#461	C₂²×C₆₁	1	1	yes	characteristic
943	#461	C₂²×C₆₁	1	1	yes	characteristic
944	#461	C₂²×C₆₁	1	1	yes	characteristic
945	#452	C₂²×C₆₁	1	1	yes	characteristic
946	#452	C₂²×C₆₁	1	1	yes	characteristic
947	#452	C₂²×C₆₁	1	1	yes	characteristic
948	#449	C₂²×C₆₁	1	1	yes	characteristic
949	#446	C₂²×C₆₁	1	1	yes	characteristic
950	#446	C₂²×C₆₁	1	1	yes	characteristic
951	#446	C₂²×C₆₁	1	1	yes	characteristic
952	#446	C₂²×C₆₁	1	1	yes	characteristic
953	#446	C₂²×C₆₁	1	1	yes	characteristic
954	#446	C₂²×C₆₁	1	1	yes	characteristic
955	C₈×Q₈	C₂²×C₆₁	1	1	yes	characteristic
956	C₈×Q₈	C₂²×C₆₁	1	1	yes	characteristic
957	#442	C₂²×C₆₁	1	1	yes	characteristic
958	#442	C₂²×C₆₁	1	1	yes	characteristic
959	#441	C₂²×C₆₁	1	1	yes	characteristic
960	#441	C₂²×C₆₁	1	1	yes	characteristic
961	#441	C₂²×C₆₁	1	1	yes	characteristic
962	#441	C₂²×C₆₁	1	1	yes	characteristic
963	#440	C₂²×C₆₁	1	1	yes	characteristic
964	#440	C₂²×C₆₁	1	1	yes	characteristic
965	#440	C₂²×C₆₁	1	1	yes	characteristic
966	#440	C₂²×C₆₁	1	1	yes	characteristic
967	#440	C₂²×C₆₁	1	1	yes	characteristic
968	#440	C₂²×C₆₁	1	1	yes	characteristic
969	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
970	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
971	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
972	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
973	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
974	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
975	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
976	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
977	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
978	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
979	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
980	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
981	#433	C₂²×C₆₁	1	1	yes	characteristic
982	#433	C₂²×C₆₁	1	1	yes	characteristic
983	#433	C₂²×C₆₁	1	1	yes	characteristic
984	#433	C₂²×C₆₁	1	1	yes	characteristic
985	#432	C₂²×C₆₁	1	1	yes	characteristic
986	#431	C₂²×C₆₁	1	1	yes	characteristic
987	C₆₁	#61862	1	1	yes	characteristic, direct product factor, Sylow
988	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
989	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
990	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
991	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
992	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
993	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
994	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
995	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
996	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
997	C₄⋊Q₈	—	2	1	no	—
998	C₄⋊Q₈	—	2	1	no	—
999	C₄⋊Q₈	—	2	1	no	—
1000	C₄⋊Q₈	—	2	1	no	—
1001	C₄⋊Q₈	—	2	1	no	—
1002	C₄⋊Q₈	—	2	1	no	—
1003	C₄⋊Q₈	—	2	1	no	—
1004	C₄⋊Q₈	—	2	1	no	—
1005	C₄⋊Q₈	—	2	1	no	—
1006	C₄⋊Q₈	—	2	1	no	—
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1009	C₄⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1010	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1011	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1012	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1013	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1014	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1015	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1016	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1017	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1018	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1019	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1020	#126	—	2	1	no	—
1021	#126	—	2	1	no	—
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#126	—	2	1	no	—
1025	#126	—	2	1	no	—
1026	#126	—	2	1	no	—
1027	#126	—	2	1	no	—
1028	#126	—	2	1	no	—
1029	#126	—	2	1	no	—
1030	#126	—	2	1	no	—
1031	#126	—	2	1	no	—
1032	#126	—	2	1	no	—
1033	#125	—	2	1	no	—
1034	#125	—	2	1	no	—
1035	#125	—	2	1	no	—
1036	#125	—	2	1	no	—
1037	#125	—	2	1	no	—
1038	#125	—	2	1	no	—
1039	#125	—	2	1	no	—
1040	#125	—	2	1	no	—
1041	#125	—	2	1	no	—
1042	#125	—	2	1	no	—
1043	#125	—	2	1	no	—
1044	#125	—	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	D₄×C₆₁	1	1	yes	characteristic
1058	#125	D₄×C₆₁	1	1	yes	characteristic
1059	#125	C₂³×C₆₁	1	1	yes	characteristic
1060	#125	C₂³×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	#124	—	2	1	no	—
1071	#124	—	2	1	no	—
1072	#124	C₂³×C₆₁	1	1	yes	characteristic
1073	#124	C₂³×C₆₁	1	1	yes	characteristic
1074	#124	C₂³×C₆₁	1	1	yes	characteristic
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	#123	—	2	1	no	—
1078	C₂²⋊Q₈	—	2	1	no	—
1079	C₂²⋊Q₈	—	2	1	no	—
1080	C₂²⋊Q₈	—	2	1	no	—
1081	C₂²⋊Q₈	—	2	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	2	1	no	—
1084	C₂²⋊Q₈	—	2	1	no	—
1085	C₂²⋊Q₈	—	2	1	no	—
1086	C₂²⋊Q₈	—	2	1	no	—
1087	C₂²⋊Q₈	—	2	1	no	—
1088	C₂²⋊Q₈	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	2	1	no	—
1091	C₂²⋊Q₈	—	2	1	no	—
1092	C₂²⋊Q₈	—	2	1	no	—
1093	C₂²⋊Q₈	—	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	D₄×C₆₁	1	1	yes	characteristic
1104	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1105	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1106	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1107	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1108	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1109	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1110	#121	C₂³×C₆₁	1	1	yes	characteristic
1111	C₄×Q₈	—	2	1	no	—
1112	C₄×Q₈	—	2	1	no	—
1113	C₄×Q₈	—	2	1	no	—
1114	C₄×Q₈	—	2	1	no	—
1115	C₄×Q₈	—	2	1	no	—
1116	C₄×Q₈	—	2	1	no	—
1117	C₄×Q₈	—	2	1	no	—
1118	C₄×Q₈	—	2	1	no	—
1119	C₄×Q₈	—	2	1	no	—
1120	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1121	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1122	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1123	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1124	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1125	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1126	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1127	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1128	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1129	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1130	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1131	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1132	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1133	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1134	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1135	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1136	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1137	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1138	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1139	C₄×D₄	—	2	1	no	—
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	2	1	no	—
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1147	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1148	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1149	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1150	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1151	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1152	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1153	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1154	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1155	#117	—	2	1	no	—
1156	#117	—	2	1	no	—
1157	#117	—	2	1	no	—
1158	#117	—	2	1	no	—
1159	#117	—	2	1	no	—
1160	#117	—	2	1	no	—
1161	#117	—	2	1	no	—
1162	#117	—	2	1	no	—
1163	#117	C₂³×C₆₁	1	1	yes	characteristic
1164	#117	C₂³×C₆₁	1	1	yes	characteristic
1165	#117	C₂³×C₆₁	1	1	yes	characteristic
1166	C₂×C₄⋊C₄	—	2	1	no	—
1167	C₂×C₄⋊C₄	—	2	1	no	—
1168	C₂×C₄⋊C₄	—	2	1	no	—
1169	C₂×C₄⋊C₄	—	2	1	no	—
1170	C₂×C₄⋊C₄	—	2	1	no	—
1171	C₂×C₄⋊C₄	—	2	1	no	—
1172	C₂×C₄⋊C₄	—	2	1	no	—
1173	C₂×C₄⋊C₄	—	2	1	no	—
1174	C₂×C₄⋊C₄	—	2	1	no	—
1175	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1176	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1177	C₂×C₄²	—	2	1	no	—
1178	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1179	#107	C₂³×C₆₁	1	1	yes	characteristic
1180	#107	C₂³×C₆₁	1	1	yes	characteristic
1181	#107	C₂³×C₆₁	1	1	yes	characteristic
1182	#107	C₂³×C₆₁	1	1	yes	characteristic
1183	#107	C₂³×C₆₁	1	1	yes	characteristic
1184	#107	C₂³×C₆₁	1	1	yes	characteristic
1185	#107	C₂³×C₆₁	1	1	yes	characteristic
1186	#107	C₂³×C₆₁	1	1	yes	characteristic
1187	#107	C₂³×C₆₁	1	1	yes	characteristic
1188	#107	C₂³×C₆₁	1	1	yes	characteristic
1189	#107	C₂³×C₆₁	1	1	yes	characteristic
1190	#107	C₂³×C₆₁	1	1	yes	characteristic
1191	#106	C₂³×C₆₁	1	1	yes	characteristic
1192	#106	C₂³×C₆₁	1	1	yes	characteristic
1193	#106	C₂³×C₆₁	1	1	yes	characteristic
1194	#106	C₂³×C₆₁	1	1	yes	characteristic
1195	#106	C₂³×C₆₁	1	1	yes	characteristic
1196	#106	C₂³×C₆₁	1	1	yes	characteristic
1197	#106	C₂³×C₆₁	1	1	yes	characteristic
1198	#106	C₂³×C₆₁	1	1	yes	characteristic
1199	#106	C₂³×C₆₁	1	1	yes	characteristic
1200	#106	C₂³×C₆₁	1	1	yes	characteristic
1201	#106	C₂³×C₆₁	1	1	yes	characteristic
1202	#106	C₂³×C₆₁	1	1	yes	characteristic
1203	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1204	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1205	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1206	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1207	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1208	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1209	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1210	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1211	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1212	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1213	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1214	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1215	#103	C₂³×C₆₁	1	1	yes	characteristic
1216	#103	C₂³×C₆₁	1	1	yes	characteristic
1217	#103	C₂³×C₆₁	1	1	yes	characteristic
1218	#103	C₂³×C₆₁	1	1	yes	characteristic
1219	#103	C₂³×C₆₁	1	1	yes	characteristic
1220	#103	C₂³×C₆₁	1	1	yes	characteristic
1221	#103	C₂³×C₆₁	1	1	yes	characteristic
1222	#103	C₂³×C₆₁	1	1	yes	characteristic
1223	#103	C₂³×C₆₁	1	1	yes	characteristic
1224	#103	C₂³×C₆₁	1	1	yes	characteristic
1225	#103	C₂³×C₆₁	1	1	yes	characteristic
1226	#103	C₂³×C₆₁	1	1	yes	characteristic
1227	#103	C₂³×C₆₁	1	1	yes	characteristic
1228	#103	C₂³×C₆₁	1	1	yes	characteristic
1229	#103	C₂³×C₆₁	1	1	yes	characteristic
1230	#103	C₂³×C₆₁	1	1	yes	characteristic
1231	#103	C₂³×C₆₁	1	1	yes	characteristic
1232	#103	C₂³×C₆₁	1	1	yes	characteristic
1233	#103	C₂³×C₆₁	1	1	yes	characteristic
1234	#103	C₂³×C₆₁	1	1	yes	characteristic
1235	#103	C₂³×C₆₁	1	1	yes	characteristic
1236	#103	C₂³×C₆₁	1	1	yes	characteristic
1237	#102	C₂³×C₆₁	1	1	yes	characteristic
1238	#102	C₂³×C₆₁	1	1	yes	characteristic
1239	#102	C₂³×C₆₁	1	1	yes	characteristic
1240	#102	C₂³×C₆₁	1	1	yes	characteristic
1241	#102	C₂³×C₆₁	1	1	yes	characteristic
1242	#102	C₂³×C₆₁	1	1	yes	characteristic
1243	#102	C₂³×C₆₁	1	1	yes	characteristic
1244	#102	C₂³×C₆₁	1	1	yes	characteristic
1245	#102	C₂³×C₆₁	1	1	yes	characteristic
1246	#102	C₂³×C₆₁	1	1	yes	characteristic
1247	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1248	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1249	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1250	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1251	#97	C₂³×C₆₁	1	1	yes	characteristic
1252	#97	C₂³×C₆₁	1	1	yes	characteristic
1253	#97	C₂³×C₆₁	1	1	yes	characteristic
1254	#97	C₂³×C₆₁	1	1	yes	characteristic
1255	#97	C₂³×C₆₁	1	1	yes	characteristic
1256	#97	C₂³×C₆₁	1	1	yes	characteristic
1257	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1258	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1259	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1260	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1261	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1262	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1263	#41	—	2	2	no	—
1264	#41	—	2	2	no	—
1265	C₂×Q₈	—	2	1	no	—
1266	C₂×Q₈	—	2	1	no	—
1267	C₂×Q₈	—	2	1	no	—
1268	C₂×Q₈	—	2	1	no	—
1269	C₂×Q₈	—	2	1	no	—
1270	C₂×Q₈	—	2	1	no	—
1271	C₂×Q₈	—	2	1	no	—
1272	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1273	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1274	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1275	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1276	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1277	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1278	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1279	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1280	C₂×D₄	—	2	1	no	—
1281	C₂×D₄	—	2	1	no	—
1282	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1283	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1284	C₂²×C₄	—	2	1	no	—
1285	C₂²×C₄	—	2	1	no	—
1286	C₂²×C₄	—	2	1	no	—
1287	C₂²×C₄	—	2	1	no	—
1288	C₂²×C₄	—	2	1	no	—
1289	C₂²×C₄	—	2	1	no	—
1290	C₂²×C₄	—	2	1	no	—
1291	C₂²×C₄	—	2	1	no	—
1292	C₂²×C₄	—	2	1	no	—
1293	C₂²×C₄	—	2	1	no	—
1294	C₂²×C₄	—	2	1	no	—
1295	C₂²×C₄	—	2	1	no	—
1296	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1297	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1298	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1299	Q₁₆	—	2	2	no	—
1300	Q₁₆	—	2	2	no	—
1301	Q₁₆	—	2	2	no	—
1302	SD₁₆	—	2	2	no	—
1303	SD₁₆	—	2	2	no	—
1304	SD₁₆	—	2	2	no	—
1305	SD₁₆	—	2	2	no	—
1306	D₈	—	2	2	no	—
1307	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1308	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1309	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1310	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1311	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1312	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1313	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1314	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1315	C₄⋊C₄	—	2	1	no	—
1316	C₄⋊C₄	—	2	1	no	—
1317	C₄⋊C₄	—	2	1	no	—
1318	C₄⋊C₄	—	2	1	no	—
1319	C₄⋊C₄	—	2	1	no	—
1320	C₄⋊C₄	—	2	1	no	—
1321	C₄⋊C₄	—	2	1	no	—
1322	C₄⋊C₄	—	2	1	no	—
1323	C₄⋊C₄	—	2	1	no	—
1324	C₄⋊C₄	—	2	1	no	—
1325	C₄⋊C₄	—	2	1	no	—
1326	C₄⋊C₄	—	2	1	no	—
1327	C₄⋊C₄	—	2	1	no	—
1328	C₄⋊C₄	—	2	1	no	—
1329	C₄⋊C₄	—	2	1	no	—
1330	C₄⋊C₄	—	2	1	no	—
1331	C₄⋊C₄	—	2	1	no	—
1332	C₄⋊C₄	—	2	1	no	—
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1371	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1372	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1373	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1374	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1375	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1376	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1377	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1378	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1379	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1380	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1381	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1382	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1383	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1384	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1385	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1386	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1387	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1388	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1389	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1390	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1391	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1392	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1393	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1394	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1395	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1396	C₂²⋊C₄	—	2	1	no	—
1397	C₂²⋊C₄	—	2	1	no	—
1398	C₂²⋊C₄	—	2	1	no	—
1399	C₂²⋊C₄	—	2	1	no	—
1400	C₂²⋊C₄	—	2	1	no	—
1401	C₂²⋊C₄	—	2	1	no	—
1402	C₂²⋊C₄	—	2	1	no	—
1403	C₂²⋊C₄	—	2	1	no	—
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1417	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1418	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1419	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1420	C₄²	—	2	1	no	—
1421	C₄²	—	2	1	no	—
1422	C₄²	—	2	1	no	—
1423	C₄²	—	2	1	no	—
1424	C₄²	—	2	1	no	—
1425	C₄²	—	2	1	no	—
1426	C₄²	—	2	1	no	—
1427	C₄²	—	2	1	no	—
1428	C₄²	—	2	1	no	—
1429	C₄²	—	2	1	no	—
1430	C₄²	—	2	1	no	—
1431	C₄²	—	2	1	no	—
1432	C₄²	—	2	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	2	1	no	—
1435	C₄²	—	2	1	no	—
1436	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1437	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1438	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1439	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1440	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1441	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1442	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1443	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1447	Q₈	—	2	1	no	—
1448	Q₈	—	2	1	no	—
1449	Q₈	—	2	1	no	—
1450	Q₈	—	2	1	no	—
1451	Q₈	—	2	1	no	—
1452	Q₈	—	2	1	no	—
1453	Q₈	—	2	1	no	—
1454	Q₈	—	4	1	no	—
1455	Q₈	—	4	1	no	—
1456	Q₈	—	4	1	no	—
1457	Q₈	—	4	1	no	—
1458	Q₈	—	8	1	no	—
1459	Q₈	—	8	1	no	—
1460	Q₈	—	8	1	no	—
1461	Q₈	—	8	1	no	—
1462	Q₈	—	8	1	no	—
1463	Q₈	—	8	1	no	—
1464	Q₈	—	8	1	no	—
1465	Q₈	2₋¹⁺⁴×C₆₁	1	2	yes	—
1466	D₄	—	2	4	no	—
1467	D₄	—	2	1	no	—
1468	D₄	—	2	1	no	—
1469	D₄	—	2	1	no	—
1470	D₄	—	8	1	no	—
1471	D₄	2₋¹⁺⁴×C₆₁	1	2	yes	—
1472	C₂×C₄	—	2	4	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	4	1	no	—
1490	C₂×C₄	—	4	1	no	—
1491	C₂×C₄	—	4	2	no	—
1492	C₂×C₄	—	8	1	no	—
1493	C₂×C₄	—	8	1	no	—
1494	C₂×C₄	—	8	1	no	—
1495	C₂×C₄	—	8	1	no	—
1496	C₂×C₄	—	8	1	no	—
1497	C₂×C₄	—	8	1	no	—
1498	C₂×C₄	—	8	1	no	—
1499	C₂×C₄	—	8	1	no	—
1500	C₂×C₄	—	8	1	no	—
1501	C₂×C₄	—	8	1	no	—
1502	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1503	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1504	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1505	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1506	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1507	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1508	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1509	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1510	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1511	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1512	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1513	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1514	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1515	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1516	C₈	—	2	1	no	—
1517	C₈	—	2	1	no	—
1518	C₈	—	2	1	no	—
1519	C₈	—	2	1	no	—
1520	C₈	—	2	1	no	—
1521	C₈	—	2	1	no	—
1522	C₈	—	2	1	no	—
1523	C₈	—	2	1	no	—
1524	C₂²	—	2	1	no	—
1525	C₂²	—	2	1	no	—
1526	C₂²	—	2	1	no	—
1527	C₂²	—	2	2	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1534	C₄	—	2	1	no	—
1535	C₄	—	2	1	no	—
1536	C₄	—	2	1	no	—
1537	C₄	—	2	1	no	—
1538	C₄	—	2	1	no	—
1539	C₄	—	2	1	no	—
1540	C₄	—	2	1	no	—
1541	C₄	—	2	1	no	—
1542	C₄	—	2	1	no	—
1543	C₄	—	2	1	no	—
1544	C₄	—	2	1	no	—
1545	C₄	—	2	1	no	—
1546	C₄	—	2	1	no	—
1547	C₄	—	2	2	no	—
1548	C₄	—	4	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1562	C₄	C₂×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1563	C₂	—	4	1	no	—
1564	C₂	—	4	2	no	—
1565	C₂	—	8	1	no	—
1566	C₂	C₆₁×#3486	1	1	yes	characteristic
1567	C₂	C₆₁×#3584	1	1	yes	characteristic
1568	C₂	C₆₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
prime radical	C₆₁×#449	C₂²
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×#3555	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×#3387	C₂	semidirect
8. C₆₁×#3385	C₂	semidirect
9. C₆₁×#3383	C₂	semidirect
10. C₆₁×#3381	C₂	semidirect
11. C₆₁×#3377	C₂	semidirect
12. C₆₁×#3377	C₂	semidirect
13. C₆₁×#3376	C₂	semidirect
14. C₆₁×#3376	C₂	semidirect
15. C₆₁×#3374	C₂	semidirect
16. C₆₁×#3372	C₂	semidirect
17. C₆₁×#3364	C₂	semidirect
18. C₆₁×#3360	C₂	semidirect
19. C₆₁×#3244	C₂	semidirect
20. C₆₁×#3243	C₂	semidirect
21. C₆₁×#3242	C₂	semidirect
22. C₆₁×#3242	C₂	semidirect
23. C₆₁×#3236	C₂	semidirect
24. C₆₁×#3232	C₂	semidirect
27. C₆₁×#3120	C₂	semidirect
28. C₆₁×#3120	C₂	semidirect
30. C₆₁×#3107	C₂	semidirect
31. C₆₁×#2985	C₂	semidirect
739. #61862	C₆₁	direct (N × H)
779. #3555	C₂×C₆₁	semidirect
780. #3504	C₂×C₆₁	semidirect
781. #3390	C₂×C₆₁	semidirect
782. #3389	C₂×C₆₁	semidirect
783. #3388	C₂×C₆₁	semidirect
784. #3388	C₂×C₆₁	semidirect
785. #3387	C₂×C₆₁	semidirect
786. #3385	C₂×C₆₁	semidirect
787. #3383	C₂×C₆₁	semidirect
788. #3381	C₂×C₆₁	semidirect
789. #3377	C₂×C₆₁	semidirect
790. #3377	C₂×C₆₁	semidirect
791. #3376	C₂×C₆₁	semidirect
792. #3376	C₂×C₆₁	semidirect
793. #3374	C₂×C₆₁	semidirect
794. #3372	C₂×C₆₁	semidirect
795. #3364	C₂×C₆₁	semidirect
796. #3360	C₂×C₆₁	semidirect
797. #3244	C₂×C₆₁	semidirect
798. #3243	C₂×C₆₁	semidirect
799. #3242	C₂×C₆₁	semidirect
800. #3242	C₂×C₆₁	semidirect
801. #3236	C₂×C₆₁	semidirect
802. #3232	C₂×C₆₁	semidirect
805. #3120	C₂×C₆₁	semidirect
806. #3120	C₂×C₆₁	semidirect
808. #3107	C₂×C₆₁	semidirect
809. #2985	C₂×C₆₁	semidirect
987. C₆₁	#61862	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×#3555	2
C₆₁×#3504	2
C₆₁×#3390	2
C₆₁×#3389	2
C₆₁×#3388	2
C₆₁×#3387	2
C₆₁×#3385	2
C₆₁×#3383	2
C₆₁×#3381	2
C₆₁×#3377	2
C₆₁×#3376	2
C₆₁×#3374	2
C₆₁×#3372	2
C₆₁×#3364	2
C₆₁×#3360	2
C₆₁×#3244	2
C₆₁×#3243	2
C₆₁×#3242	2
C₆₁×#3236	2
C₆₁×#3232	2
C₆₁×#3125	2
C₆₁×#3124	2
C₆₁×#3120	2
C₆₁×#3111	2
C₆₁×#3107	2
C₆₁×#2985	2
#61862	61

Subgroups — C61×#61862 #29565295

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61862 #29565295