Subgroups — C₆₁×#61514 #29564947

Order 15616.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3521	C₂	1	1	yes	maximal, characteristic
3	C₆₁×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3351	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3349	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3349	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3328	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3315	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3311	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3276	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3178	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3177	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3172	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3127	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3116	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#2967	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#2949	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#2947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#137×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic
33	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic
34	C₂²×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
35	C₆₁×#557	—	2	1	no	—
36	C₆₁×#557	C₂²	1	1	yes	characteristic, complemented
37	C₆₁×#557	C₂²	1	1	yes	characteristic, complemented
38	C₆₁×#556	—	2	1	no	—
39	C₆₁×#556	C₂²	1	1	yes	characteristic
40	C₆₁×#556	C₂²	1	1	yes	characteristic
41	C₆₁×#556	C₂²	1	1	yes	characteristic
42	C₆₁×#554	C₂²	1	1	yes	characteristic
43	C₆₁×#553	—	2	1	no	—
44	C₆₁×#553	C₂²	1	1	yes	characteristic
45	C₆₁×#552	—	2	1	no	—
46	C₆₁×#552	—	2	1	no	—
47	C₆₁×#552	—	2	1	no	—
48	C₆₁×#552	C₂²	1	1	yes	characteristic
49	C₆₁×#552	C₂²	1	1	yes	characteristic
50	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
51	C₆₁×#551	—	2	1	no	—
52	C₆₁×#551	—	2	1	no	—
53	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
56	C₆₁×#547	C₂²	1	1	yes	characteristic
57	C₆₁×#546	C₂²	1	1	yes	characteristic
58	C₆₁×#546	C₂²	1	1	yes	characteristic
59	C₆₁×#542	C₂²	1	1	yes	characteristic
60	C₆₁×#541	—	2	1	no	—
61	C₆₁×#541	—	2	1	no	—
62	C₆₁×#541	C₂²	1	1	yes	characteristic
63	C₆₁×#541	C₂²	1	1	yes	characteristic
64	C₆₁×#541	C₂²	1	1	yes	characteristic, complemented
65	C₆₁×#539	—	2	1	no	—
66	C₆₁×#538	—	2	1	no	—
67	C₆₁×#533	—	2	1	no	—
68	C₆₁×#533	C₂²	1	1	yes	characteristic, complemented
69	C₆₁×#529	—	2	1	no	—
70	C₆₁×#529	—	2	1	no	—
71	C₆₁×#529	C₂²	1	1	yes	characteristic
72	C₆₁×#529	C₂²	1	1	yes	characteristic
73	C₂×#126×C₆₁	—	2	1	no	—
74	C₆₁×#520	C₂²	1	1	yes	characteristic
75	C₆₁×#519	C₂²	1	1	yes	characteristic
76	C₆₁×#519	C₂²	1	1	yes	characteristic, complemented
77	C₆₁×#518	C₂²	1	1	yes	characteristic
78	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
79	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
80	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
81	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
82	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
83	C₆₁×#497	C₂²	1	1	yes	characteristic
84	C₆₁×#497	C₂²	1	1	yes	characteristic
85	C₆₁×#494	C₂²	1	1	yes	characteristic, complemented
86	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
87	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
88	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
89	C₆₁×#489	C₂²	1	1	yes	characteristic
90	C₆₁×#488	C₂²	1	1	yes	characteristic
91	C₆₁×#487	C₂²	1	1	yes	characteristic, complemented
92	C₆₁×#485	C₂²	1	1	yes	characteristic
93	C₆₁×#485	C₂²	1	1	yes	characteristic
94	C₆₁×#485	C₂²	1	1	yes	characteristic
95	C₆₁×#485	C₂²	1	1	yes	characteristic
96	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
97	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
98	C₆₁×#485	C₂²	1	1	yes	characteristic, complemented
99	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
100	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
101	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
102	C₆₁×#482	C₂²	1	1	yes	characteristic
103	C₆₁×#481	C₂²	1	1	yes	characteristic
104	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
108	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
109	C₆₁×#478	C₂²	1	1	yes	characteristic
110	C₆₁×#478	C₂²	1	1	yes	characteristic
111	C₆₁×#478	C₂²	1	1	yes	characteristic
112	C₆₁×#477	C₂²	1	1	yes	characteristic, complemented
113	C₆₁×#477	C₂²	1	1	yes	characteristic, complemented
114	C₆₁×#476	C₂²	1	1	yes	characteristic
115	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
116	C₆₁×#470	C₂²	1	1	yes	characteristic
117	C₆₁×#470	C₂²	1	1	yes	characteristic
118	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
119	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
120	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
121	C₆₁×#468	C₂²	1	1	yes	characteristic
122	C₆₁×#468	C₂²	1	1	yes	characteristic
123	C₆₁×#468	C₂²	1	1	yes	characteristic
124	C₆₁×#467	C₂²	1	1	yes	characteristic
125	C₆₁×#467	C₂²	1	1	yes	characteristic
126	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
127	C₆₁×#465	C₂²	1	1	yes	characteristic
128	C₆₁×#464	C₂²	1	1	yes	characteristic
129	C₆₁×#464	C₂²	1	1	yes	characteristic
130	C₆₁×#464	C₂²	1	1	yes	characteristic
131	C₆₁×#464	C₂²	1	1	yes	characteristic
132	C₆₁×#462	C₂²	1	1	yes	characteristic, complemented
133	C₆₁×#462	C₂²	1	1	yes	characteristic, complemented
134	C₆₁×#462	C₂²	1	1	yes	characteristic, complemented
135	C₆₁×#462	C₂²	1	1	yes	characteristic, complemented
136	C₆₁×#461	C₂²	1	1	yes	characteristic
137	C₆₁×#461	C₂²	1	1	yes	characteristic
138	C₆₁×#461	C₂²	1	1	yes	characteristic
139	C₆₁×#461	C₂²	1	1	yes	characteristic
140	C₆₁×#452	C₂²	1	1	yes	characteristic
141	C₆₁×#452	C₂²	1	1	yes	characteristic
142	C₆₁×#452	C₂²	1	1	yes	characteristic
143	C₆₁×#452	C₂²	1	1	yes	characteristic
144	C₆₁×#451	C₂²	1	1	yes	characteristic
145	C₆₁×#451	C₂²	1	1	yes	characteristic
146	C₆₁×#451	C₂²	1	1	yes	characteristic, complemented
147	C₆₁×#451	C₂²	1	1	yes	characteristic, complemented
148	C₆₁×#450	C₂²	1	1	yes	characteristic
149	C₆₁×#450	C₂²	1	1	yes	characteristic
150	C₆₁×#448	C₂²	1	1	yes	characteristic
151	C₆₁×#448	C₂²	1	1	yes	characteristic
152	C₆₁×#446	C₂²	1	1	yes	characteristic, complemented
153	C₆₁×#446	C₂²	1	1	yes	characteristic, complemented
154	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
155	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
156	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
157	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
158	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
159	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
160	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
161	C₆₁×#440	C₂²	1	1	yes	characteristic
162	C₆₁×#440	C₂²	1	1	yes	characteristic
163	C₆₁×#440	C₂²	1	1	yes	characteristic
164	C₆₁×#440	C₂²	1	1	yes	characteristic
165	C₆₁×#440	C₂²	1	1	yes	characteristic
166	C₆₁×#440	C₂²	1	1	yes	characteristic
167	C₆₁×#440	C₂²	1	1	yes	characteristic
168	C₆₁×#440	C₂²	1	1	yes	characteristic
169	C₆₁×#440	C₂²	1	1	yes	characteristic
170	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
172	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
173	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
174	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
176	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
177	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
178	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
179	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
180	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
181	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
182	C₆₁×#436	C₂²	1	1	yes	characteristic
183	C₆₁×#436	C₂²	1	1	yes	characteristic, complemented
184	C₆₁×#435	C₂²	1	1	yes	characteristic
185	C₆₁×#435	C₂²	1	1	yes	characteristic
186	C₆₁×#435	C₂²	1	1	yes	characteristic
187	C₆₁×#435	C₂²	1	1	yes	characteristic, complemented
188	C₆₁×#433	C₂²	1	1	yes	characteristic
189	C₆₁×#433	C₂²	1	1	yes	characteristic, complemented
190	C₆₁×#432	C₂²	1	1	yes	characteristic, complemented
191	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
192	C₆₁×#428	C₂²	1	1	yes	characteristic, complemented
193	C₆₁×#427	C₂²	1	1	yes	characteristic
194	C₆₁×#419	C₂²	1	1	yes	characteristic
195	C₆₁×#419	C₂²	1	1	yes	characteristic, complemented
196	C₆₁×#418	C₂²	1	1	yes	characteristic
197	C₆₁×#417	C₂²	1	1	yes	characteristic
198	C₆₁×#416	C₂²	1	1	yes	characteristic
199	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic, complemented
200	C₆₁×#405	C₂²	1	1	yes	characteristic
201	C₆₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
209	#137×C₆₁	—	2	4	no	—
210	#137×C₆₁	—	2	4	no	—
211	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
215	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
217	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₆₁	—	2	4	no	—
220	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
229	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
230	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₆₁	—	2	1	no	—
235	C₄⋊Q₈×C₆₁	—	2	1	no	—
236	C₄⋊Q₈×C₆₁	—	2	1	no	—
237	C₄⋊Q₈×C₆₁	—	2	1	no	—
238	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
239	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
241	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
242	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
243	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
244	#126×C₆₁	—	2	1	no	—
245	#126×C₆₁	—	2	1	no	—
246	#126×C₆₁	—	2	1	no	—
247	#126×C₆₁	—	2	1	no	—
248	#126×C₆₁	—	2	1	no	—
249	#126×C₆₁	—	2	1	no	—
250	#126×C₆₁	—	2	1	no	—
251	#126×C₆₁	—	2	1	no	—
252	#126×C₆₁	—	2	1	no	—
253	#126×C₆₁	—	2	1	no	—
254	#126×C₆₁	—	2	1	no	—
255	#126×C₆₁	—	2	1	no	—
256	#126×C₆₁	—	2	1	no	—
257	#126×C₆₁	—	2	1	no	—
258	#126×C₆₁	—	2	1	no	—
259	#126×C₆₁	—	2	1	no	—
260	#126×C₆₁	—	2	1	no	—
261	#126×C₆₁	—	2	1	no	—
262	#126×C₆₁	D₄	1	1	yes	characteristic
263	#126×C₆₁	D₄	1	1	yes	characteristic
264	#125×C₆₁	—	2	1	no	—
265	#125×C₆₁	—	2	1	no	—
266	#125×C₆₁	—	2	1	no	—
267	#125×C₆₁	—	2	1	no	—
268	#125×C₆₁	—	2	1	no	—
269	#125×C₆₁	—	2	1	no	—
270	#125×C₆₁	—	2	1	no	—
271	#125×C₆₁	—	2	1	no	—
272	#125×C₆₁	—	2	1	no	—
273	#125×C₆₁	—	2	1	no	—
274	#125×C₆₁	—	2	1	no	—
275	#125×C₆₁	—	2	1	no	—
276	#125×C₆₁	—	2	1	no	—
277	#125×C₆₁	—	2	1	no	—
278	#125×C₆₁	—	2	1	no	—
279	#125×C₆₁	D₄	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	#124×C₆₁	—	2	1	no	—
285	#124×C₆₁	—	2	1	no	—
286	#124×C₆₁	—	2	1	no	—
287	#124×C₆₁	D₄	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	#123×C₆₁	—	2	1	no	—
294	#123×C₆₁	—	2	1	no	—
295	#123×C₆₁	—	2	1	no	—
296	#123×C₆₁	—	2	1	no	—
297	#123×C₆₁	—	2	1	no	—
298	#123×C₆₁	—	2	1	no	—
299	#123×C₆₁	—	2	1	no	—
300	#123×C₆₁	D₄	1	1	yes	characteristic
301	#123×C₆₁	D₄	1	1	yes	characteristic
302	C₂²⋊Q₈×C₆₁	—	2	1	no	—
303	C₂²⋊Q₈×C₆₁	—	2	1	no	—
304	C₂²⋊Q₈×C₆₁	—	2	1	no	—
305	C₂²⋊Q₈×C₆₁	—	2	1	no	—
306	C₂²⋊Q₈×C₆₁	—	2	1	no	—
307	C₂²⋊Q₈×C₆₁	—	2	1	no	—
308	C₂²⋊Q₈×C₆₁	—	2	1	no	—
309	C₂²⋊Q₈×C₆₁	—	2	1	no	—
310	C₂²⋊Q₈×C₆₁	—	2	1	no	—
311	C₂²⋊Q₈×C₆₁	—	2	1	no	—
312	C₂²⋊Q₈×C₆₁	—	2	1	no	—
313	C₂²⋊Q₈×C₆₁	—	2	1	no	—
314	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
315	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
316	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
321	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
322	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
324	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
325	#121×C₆₁	—	2	1	no	—
326	#121×C₆₁	—	2	1	no	—
327	#121×C₆₁	—	2	1	no	—
328	#121×C₆₁	—	2	1	no	—
329	#121×C₆₁	D₄	1	1	yes	characteristic
330	#121×C₆₁	C₂³	1	1	yes	characteristic
331	#121×C₆₁	C₂³	1	1	yes	characteristic
332	#120×C₆₁	—	2	1	no	—
333	#120×C₆₁	—	2	1	no	—
334	C₄×Q₈×C₆₁	—	2	1	no	—
335	C₄×Q₈×C₆₁	—	2	1	no	—
336	C₄×Q₈×C₆₁	—	2	1	no	—
337	C₄×Q₈×C₆₁	—	2	1	no	—
338	C₄×Q₈×C₆₁	—	2	1	no	—
339	C₄×Q₈×C₆₁	—	2	1	no	—
340	C₄×Q₈×C₆₁	—	2	1	no	—
341	C₄×Q₈×C₆₁	—	2	1	no	—
342	C₄×Q₈×C₆₁	—	2	1	no	—
343	C₄×Q₈×C₆₁	—	2	1	no	—
344	C₄×Q₈×C₆₁	—	2	1	no	—
345	C₄×Q₈×C₆₁	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×Q₈×C₆₁	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
357	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
358	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
359	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₆₁	—	2	1	no	—
361	C₄×D₄×C₆₁	—	2	1	no	—
362	C₄×D₄×C₆₁	—	2	1	no	—
363	C₄×D₄×C₆₁	—	2	1	no	—
364	C₄×D₄×C₆₁	—	2	1	no	—
365	C₄×D₄×C₆₁	—	2	1	no	—
366	C₄×D₄×C₆₁	—	2	1	no	—
367	C₄×D₄×C₆₁	—	2	1	no	—
368	C₄×D₄×C₆₁	—	2	1	no	—
369	C₄×D₄×C₆₁	—	2	1	no	—
370	C₄×D₄×C₆₁	—	2	1	no	—
371	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
380	#117×C₆₁	—	2	1	no	—
381	#117×C₆₁	—	2	1	no	—
382	#117×C₆₁	—	2	1	no	—
383	#117×C₆₁	—	2	1	no	—
384	#117×C₆₁	—	2	1	no	—
385	#117×C₆₁	—	2	1	no	—
386	#117×C₆₁	—	2	1	no	—
387	#117×C₆₁	—	2	1	no	—
388	#117×C₆₁	—	2	1	no	—
389	#117×C₆₁	—	2	1	no	—
390	#117×C₆₁	—	2	1	no	—
391	#117×C₆₁	—	2	1	no	—
392	#117×C₆₁	C₂³	1	1	yes	characteristic
393	#117×C₆₁	C₂³	1	1	yes	characteristic
394	#117×C₆₁	C₂³	1	1	yes	characteristic
395	#117×C₆₁	C₂³	1	1	yes	characteristic
396	#117×C₆₁	C₂³	1	1	yes	characteristic
397	#117×C₆₁	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
399	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
400	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
401	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
402	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
408	C₂×C₄²×C₆₁	—	2	1	no	—
409	C₂×C₄²×C₆₁	—	2	1	no	—
410	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
411	#107×C₆₁	C₂³	1	1	yes	characteristic
412	#107×C₆₁	C₂³	1	1	yes	characteristic
413	#107×C₆₁	C₂³	1	1	yes	characteristic
414	#107×C₆₁	C₂³	1	1	yes	characteristic
415	#107×C₆₁	C₂³	1	1	yes	characteristic
416	#107×C₆₁	C₂³	1	1	yes	characteristic
417	#107×C₆₁	C₂³	1	1	yes	characteristic
418	#107×C₆₁	C₂³	1	1	yes	characteristic
419	#106×C₆₁	C₂³	1	1	yes	characteristic
420	#106×C₆₁	C₂³	1	1	yes	characteristic
421	#106×C₆₁	C₂³	1	1	yes	characteristic
422	#106×C₆₁	C₂³	1	1	yes	characteristic
423	#106×C₆₁	C₂³	1	1	yes	characteristic
424	#106×C₆₁	C₂³	1	1	yes	characteristic
425	#106×C₆₁	C₂³	1	1	yes	characteristic
426	#106×C₆₁	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
433	#103×C₆₁	C₂³	1	1	yes	characteristic
434	#103×C₆₁	C₂³	1	1	yes	characteristic
435	#103×C₆₁	C₂³	1	1	yes	characteristic
436	#103×C₆₁	C₂³	1	1	yes	characteristic
437	#103×C₆₁	C₂³	1	1	yes	characteristic
438	#103×C₆₁	C₂³	1	1	yes	characteristic
439	#103×C₆₁	C₂³	1	1	yes	characteristic
440	#103×C₆₁	C₂³	1	1	yes	characteristic
441	#103×C₆₁	C₂³	1	1	yes	characteristic
442	#103×C₆₁	C₂³	1	1	yes	characteristic
443	#103×C₆₁	C₂³	1	1	yes	characteristic
444	#103×C₆₁	C₂³	1	1	yes	characteristic
445	#103×C₆₁	C₂³	1	1	yes	characteristic
446	#103×C₆₁	C₂³	1	1	yes	characteristic
447	#103×C₆₁	C₂³	1	1	yes	characteristic
448	#103×C₆₁	C₂³	1	1	yes	characteristic
449	#103×C₆₁	C₂³	1	1	yes	characteristic
450	#103×C₆₁	C₂³	1	1	yes	characteristic
451	#103×C₆₁	C₂³	1	1	yes	characteristic
452	#103×C₆₁	C₂³	1	1	yes	characteristic
453	#103×C₆₁	C₂³	1	1	yes	characteristic
454	#103×C₆₁	C₂³	1	1	yes	characteristic
455	#103×C₆₁	C₂³	1	1	yes	characteristic
456	#103×C₆₁	C₂³	1	1	yes	characteristic
457	#102×C₆₁	C₂³	1	1	yes	characteristic
458	#102×C₆₁	C₂³	1	1	yes	characteristic
459	#102×C₆₁	C₂³	1	1	yes	characteristic
460	#102×C₆₁	C₂³	1	1	yes	characteristic
461	#102×C₆₁	C₂³	1	1	yes	characteristic
462	#102×C₆₁	C₂³	1	1	yes	characteristic
463	#102×C₆₁	C₂³	1	1	yes	characteristic
464	#102×C₆₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
471	#97×C₆₁	C₂³	1	1	yes	characteristic
472	#97×C₆₁	C₂³	1	1	yes	characteristic
473	#97×C₆₁	C₂³	1	1	yes	characteristic
474	#97×C₆₁	C₂³	1	1	yes	characteristic
475	#97×C₆₁	C₂³	1	1	yes	characteristic
476	#97×C₆₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
481	C₂⁴×C₆₁	—	2	1	no	—
482	#41×C₆₁	—	2	2	no	—
483	#41×C₆₁	—	2	2	no	—
484	#41×C₆₁	—	4	1	no	—
485	#41×C₆₁	—	4	1	no	—
486	C₂×Q₈×C₆₁	—	2	1	no	—
487	C₂×Q₈×C₆₁	—	2	1	no	—
488	C₂×Q₈×C₆₁	—	2	1	no	—
489	C₂×Q₈×C₆₁	—	2	1	no	—
490	C₂×Q₈×C₆₁	—	2	1	no	—
491	C₂×Q₈×C₆₁	—	2	2	no	—
492	C₂×Q₈×C₆₁	—	2	2	no	—
493	C₂×Q₈×C₆₁	—	2	2	no	—
494	C₂×Q₈×C₆₁	—	4	1	no	—
495	C₂×Q₈×C₆₁	—	4	1	no	—
496	C₂×Q₈×C₆₁	—	4	1	no	—
497	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
498	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₆₁	—	2	2	no	—
505	C₂×D₄×C₆₁	—	2	1	no	—
506	C₂×D₄×C₆₁	—	2	1	no	—
507	C₂×D₄×C₆₁	—	2	1	no	—
508	C₂×D₄×C₆₁	—	2	1	no	—
509	C₂×D₄×C₆₁	—	2	1	no	—
510	C₂×D₄×C₆₁	—	4	1	no	—
511	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
529	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
534	Q₁₆×C₆₁	—	2	2	no	—
535	Q₁₆×C₆₁	—	2	2	no	—
536	Q₁₆×C₆₁	—	2	2	no	—
537	Q₁₆×C₆₁	—	2	2	no	—
538	Q₁₆×C₆₁	—	4	1	no	—
539	Q₁₆×C₆₁	—	4	1	no	—
540	Q₁₆×C₆₁	—	4	1	no	—
541	Q₁₆×C₆₁	—	4	1	no	—
542	SD₁₆×C₆₁	—	2	2	no	—
543	SD₁₆×C₆₁	—	2	2	no	—
544	SD₁₆×C₆₁	—	2	2	no	—
545	SD₁₆×C₆₁	—	2	2	no	—
546	SD₁₆×C₆₁	—	2	2	no	—
547	SD₁₆×C₆₁	—	4	1	no	—
548	SD₁₆×C₆₁	—	4	1	no	—
549	SD₁₆×C₆₁	#41	1	4	yes	—
550	M₁₆×C₆₁	—	2	2	no	—
551	M₁₆×C₆₁	—	2	2	no	—
552	M₁₆×C₆₁	—	4	1	no	—
553	M₁₆×C₆₁	—	4	1	no	—
554	C₂×C₈×C₆₁	—	2	2	no	—
555	C₂×C₈×C₆₁	—	4	1	no	—
556	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
558	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
564	C₄⋊C₄×C₆₁	—	2	1	no	—
565	C₄⋊C₄×C₆₁	—	2	1	no	—
566	C₄⋊C₄×C₆₁	—	2	1	no	—
567	C₄⋊C₄×C₆₁	—	2	1	no	—
568	C₄⋊C₄×C₆₁	—	2	1	no	—
569	C₄⋊C₄×C₆₁	—	2	1	no	—
570	C₄⋊C₄×C₆₁	—	2	1	no	—
571	C₄⋊C₄×C₆₁	—	2	1	no	—
572	C₄⋊C₄×C₆₁	—	2	1	no	—
573	C₄⋊C₄×C₆₁	—	2	1	no	—
574	C₄⋊C₄×C₆₁	—	2	1	no	—
575	C₄⋊C₄×C₆₁	—	2	1	no	—
576	C₄⋊C₄×C₆₁	—	2	1	no	—
577	C₄⋊C₄×C₆₁	—	2	1	no	—
578	C₄⋊C₄×C₆₁	—	2	1	no	—
579	C₄⋊C₄×C₆₁	—	2	1	no	—
580	C₄⋊C₄×C₆₁	—	2	1	no	—
581	C₄⋊C₄×C₆₁	—	2	1	no	—
582	C₄⋊C₄×C₆₁	—	2	1	no	—
583	C₄⋊C₄×C₆₁	—	2	1	no	—
584	C₄⋊C₄×C₆₁	—	2	1	no	—
585	C₄⋊C₄×C₆₁	—	2	1	no	—
586	C₄⋊C₄×C₆₁	—	2	1	no	—
587	C₄⋊C₄×C₆₁	—	2	1	no	—
588	C₄⋊C₄×C₆₁	—	2	1	no	—
589	C₄⋊C₄×C₆₁	—	2	1	no	—
590	C₄⋊C₄×C₆₁	—	2	1	no	—
591	C₄⋊C₄×C₆₁	—	2	1	no	—
592	C₄⋊C₄×C₆₁	—	2	1	no	—
593	C₄⋊C₄×C₆₁	—	2	1	no	—
594	C₄⋊C₄×C₆₁	—	2	1	no	—
595	C₄⋊C₄×C₆₁	—	2	1	no	—
596	C₄⋊C₄×C₆₁	—	2	1	no	—
597	C₄⋊C₄×C₆₁	—	2	1	no	—
598	C₄⋊C₄×C₆₁	—	2	1	no	—
599	C₄⋊C₄×C₆₁	—	2	1	no	—
600	C₄⋊C₄×C₆₁	—	2	1	no	—
601	C₄⋊C₄×C₆₁	—	2	1	no	—
602	C₄⋊C₄×C₆₁	—	2	1	no	—
603	C₄⋊C₄×C₆₁	—	2	1	no	—
604	C₄⋊C₄×C₆₁	—	2	1	no	—
605	C₄⋊C₄×C₆₁	—	2	1	no	—
606	C₄⋊C₄×C₆₁	—	2	1	no	—
607	C₄⋊C₄×C₆₁	—	2	1	no	—
608	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
626	C₂²⋊C₄×C₆₁	—	2	1	no	—
627	C₂²⋊C₄×C₆₁	—	2	1	no	—
628	C₂²⋊C₄×C₆₁	—	2	1	no	—
629	C₂²⋊C₄×C₆₁	—	2	1	no	—
630	C₂²⋊C₄×C₆₁	—	2	1	no	—
631	C₂²⋊C₄×C₆₁	—	2	1	no	—
632	C₂²⋊C₄×C₆₁	—	2	1	no	—
633	C₂²⋊C₄×C₆₁	—	2	1	no	—
634	C₂²⋊C₄×C₆₁	—	2	1	no	—
635	C₂²⋊C₄×C₆₁	—	2	1	no	—
636	C₂²⋊C₄×C₆₁	—	2	1	no	—
637	C₂²⋊C₄×C₆₁	—	2	1	no	—
638	C₂²⋊C₄×C₆₁	—	2	1	no	—
639	C₂²⋊C₄×C₆₁	—	2	1	no	—
640	C₂²⋊C₄×C₆₁	—	2	1	no	—
641	C₂²⋊C₄×C₆₁	—	2	1	no	—
642	C₂²⋊C₄×C₆₁	—	2	1	no	—
643	C₂²⋊C₄×C₆₁	—	2	1	no	—
644	C₂²⋊C₄×C₆₁	—	2	1	no	—
645	C₂²⋊C₄×C₆₁	—	2	1	no	—
646	C₂²⋊C₄×C₆₁	—	2	1	no	—
647	C₂²⋊C₄×C₆₁	—	2	1	no	—
648	C₂²⋊C₄×C₆₁	—	2	1	no	—
649	C₂²⋊C₄×C₆₁	—	2	1	no	—
650	C₂²⋊C₄×C₆₁	—	2	1	no	—
651	C₂²⋊C₄×C₆₁	—	2	1	no	—
652	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
662	C₄²×C₆₁	—	2	1	no	—
663	C₄²×C₆₁	—	2	1	no	—
664	C₄²×C₆₁	—	2	1	no	—
665	C₄²×C₆₁	—	2	1	no	—
666	C₄²×C₆₁	—	2	1	no	—
667	C₄²×C₆₁	—	2	1	no	—
668	C₄²×C₆₁	—	2	1	no	—
669	C₄²×C₆₁	—	2	1	no	—
670	C₄²×C₆₁	—	2	1	no	—
671	C₄²×C₆₁	—	2	1	no	—
672	C₄²×C₆₁	—	2	1	no	—
673	C₄²×C₆₁	—	2	1	no	—
674	C₄²×C₆₁	—	2	1	no	—
675	C₄²×C₆₁	—	2	1	no	—
676	C₄²×C₆₁	—	2	1	no	—
677	C₄²×C₆₁	—	2	1	no	—
678	C₄²×C₆₁	—	2	1	no	—
679	C₄²×C₆₁	—	2	1	no	—
680	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
682	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
683	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
684	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
685	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
686	C₂³×C₆₁	—	2	1	no	—
687	C₂³×C₆₁	—	2	1	no	—
688	C₂³×C₆₁	—	4	2	no	—
689	C₂³×C₆₁	—	8	1	no	—
690	C₂³×C₆₁	—	8	1	no	—
691	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
692	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
693	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
694	Q₈×C₆₁	—	2	1	no	—
695	Q₈×C₆₁	—	2	1	no	—
696	Q₈×C₆₁	—	2	1	no	—
697	Q₈×C₆₁	—	2	1	no	—
698	Q₈×C₆₁	—	2	1	no	—
699	Q₈×C₆₁	—	2	1	no	—
700	Q₈×C₆₁	—	2	1	no	—
701	Q₈×C₆₁	—	2	1	no	—
702	Q₈×C₆₁	—	2	1	no	—
703	Q₈×C₆₁	—	2	1	no	—
704	Q₈×C₆₁	—	2	1	no	—
705	Q₈×C₆₁	—	4	1	no	—
706	Q₈×C₆₁	—	4	2	no	—
707	Q₈×C₆₁	—	4	2	no	—
708	Q₈×C₆₁	—	4	2	no	—
709	Q₈×C₆₁	—	4	2	no	—
710	Q₈×C₆₁	—	8	1	no	—
711	Q₈×C₆₁	C₂×#41	1	2	yes	—
712	D₄×C₆₁	—	2	1	no	—
713	D₄×C₆₁	—	2	1	no	—
714	D₄×C₆₁	—	2	1	no	—
715	D₄×C₆₁	—	4	1	no	—
716	D₄×C₆₁	—	4	1	no	—
717	D₄×C₆₁	—	4	1	no	—
718	D₄×C₆₁	—	4	2	no	—
719	D₄×C₆₁	—	4	2	no	—
720	D₄×C₆₁	—	4	2	no	—
721	D₄×C₆₁	—	8	1	no	—
722	D₄×C₆₁	—	8	1	no	—
723	D₄×C₆₁	C₂×#41	1	2	yes	—
724	C₂×C₄×C₆₁	—	2	1	no	—
725	C₂×C₄×C₆₁	—	2	1	no	—
726	C₂×C₄×C₆₁	—	2	1	no	—
727	C₂×C₄×C₆₁	—	2	1	no	—
728	C₂×C₄×C₆₁	—	2	1	no	—
729	C₂×C₄×C₆₁	—	2	1	no	—
730	C₂×C₄×C₆₁	—	2	1	no	—
731	C₂×C₄×C₆₁	—	2	1	no	—
732	C₂×C₄×C₆₁	—	2	1	no	—
733	C₂×C₄×C₆₁	—	2	1	no	—
734	C₂×C₄×C₆₁	—	2	1	no	—
735	C₂×C₄×C₆₁	—	2	1	no	—
736	C₂×C₄×C₆₁	—	2	1	no	—
737	C₂×C₄×C₆₁	—	2	1	no	—
738	C₂×C₄×C₆₁	—	2	1	no	—
739	C₂×C₄×C₆₁	—	2	1	no	—
740	C₂×C₄×C₆₁	—	2	1	no	—
741	C₂×C₄×C₆₁	—	2	1	no	—
742	C₂×C₄×C₆₁	—	2	1	no	—
743	C₂×C₄×C₆₁	—	2	1	no	—
744	C₂×C₄×C₆₁	—	4	1	no	—
745	C₂×C₄×C₆₁	—	4	1	no	—
746	C₂×C₄×C₆₁	—	4	2	no	—
747	C₂×C₄×C₆₁	—	4	2	no	—
748	C₂×C₄×C₆₁	—	4	2	no	—
749	C₂×C₄×C₆₁	—	4	2	no	—
750	C₂×C₄×C₆₁	—	4	2	no	—
751	C₂×C₄×C₆₁	—	4	2	no	—
752	C₂×C₄×C₆₁	—	8	1	no	—
753	C₂×C₄×C₆₁	—	8	1	no	—
754	C₂×C₄×C₆₁	—	8	1	no	—
755	C₂×C₄×C₆₁	—	8	1	no	—
756	C₂×C₄×C₆₁	—	8	1	no	—
757	C₂×C₄×C₆₁	—	8	1	no	—
758	C₂×C₄×C₆₁	—	8	1	no	—
759	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
765	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
771	C₈×C₆₁	—	2	1	no	—
772	C₈×C₆₁	—	2	1	no	—
773	C₈×C₆₁	—	2	1	no	—
774	C₈×C₆₁	—	2	1	no	—
775	C₈×C₆₁	—	2	1	no	—
776	C₈×C₆₁	—	2	1	no	—
777	C₈×C₆₁	—	2	1	no	—
778	C₈×C₆₁	C₂×#41	1	2	yes	—
779	#61514	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
780	C₂²×C₆₁	—	2	1	no	—
781	C₂²×C₆₁	—	2	1	no	—
782	C₂²×C₆₁	—	2	1	no	—
783	C₂²×C₆₁	—	2	1	no	—
784	C₂²×C₆₁	—	2	1	no	—
785	C₂²×C₆₁	—	2	1	no	—
786	C₂²×C₆₁	—	2	1	no	—
787	C₂²×C₆₁	—	2	1	no	—
788	C₂²×C₆₁	—	2	1	no	—
789	C₂²×C₆₁	—	2	2	no	—
790	C₂²×C₆₁	—	4	1	no	—
791	C₂²×C₆₁	—	4	1	no	—
792	C₂²×C₆₁	—	4	1	no	—
793	C₂²×C₆₁	—	4	1	no	—
794	C₂²×C₆₁	—	4	1	no	—
795	C₂²×C₆₁	—	16	2	no	—
796	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
797	C₄×C₆₁	—	2	1	no	—
798	C₄×C₆₁	—	2	1	no	—
799	C₄×C₆₁	—	2	1	no	—
800	C₄×C₆₁	—	2	1	no	—
801	C₄×C₆₁	—	2	1	no	—
802	C₄×C₆₁	—	2	1	no	—
803	C₄×C₆₁	—	2	1	no	—
804	C₄×C₆₁	—	2	1	no	—
805	C₄×C₆₁	—	2	1	no	—
806	C₄×C₆₁	—	2	1	no	—
807	C₄×C₆₁	—	2	1	no	—
808	C₄×C₆₁	—	2	2	no	—
809	C₄×C₆₁	—	4	1	no	—
810	C₄×C₆₁	—	4	1	no	—
811	C₄×C₆₁	—	4	1	no	—
812	C₄×C₆₁	—	4	1	no	—
813	C₄×C₆₁	—	4	1	no	—
814	C₄×C₆₁	—	4	1	no	—
815	C₄×C₆₁	—	4	1	no	—
816	C₄×C₆₁	—	4	1	no	—
817	C₄×C₆₁	—	4	1	no	—
818	C₄×C₆₁	—	4	1	no	—
819	C₄×C₆₁	—	4	1	no	—
820	C₄×C₆₁	—	4	1	no	—
821	C₄×C₆₁	—	4	1	no	—
822	C₄×C₆₁	C₂²×#41	1	1	yes	characteristic
823	C₄×C₆₁	#585	1	1	yes	characteristic
824	#3523	C₂×C₆₁	1	1	yes	characteristic, complemented
825	#3521	C₂×C₆₁	1	1	yes	characteristic
826	#3398	C₂×C₆₁	1	1	yes	characteristic, complemented
827	#3388	C₂×C₆₁	1	1	yes	characteristic, complemented
828	#3377	C₂×C₆₁	1	1	yes	characteristic, complemented
829	#3372	C₂×C₆₁	1	1	yes	characteristic, complemented
830	#3351	C₂×C₆₁	1	1	yes	characteristic, complemented
831	#3349	C₂×C₆₁	1	1	yes	characteristic, complemented
832	#3349	C₂×C₆₁	1	1	yes	characteristic, complemented
833	#3328	C₂×C₆₁	1	1	yes	characteristic, complemented
834	#3323	C₂×C₆₁	1	1	yes	characteristic, complemented
835	#3320	C₂×C₆₁	1	1	yes	characteristic, complemented
836	#3315	C₂×C₆₁	1	1	yes	characteristic, complemented
837	#3312	C₂×C₆₁	1	1	yes	characteristic, complemented
838	#3311	C₂×C₆₁	1	1	yes	characteristic, complemented
839	#3276	C₂×C₆₁	1	1	yes	characteristic, complemented
840	#3266	C₂×C₆₁	1	1	yes	characteristic, complemented
841	#3266	C₂×C₆₁	1	1	yes	characteristic, complemented
842	#3178	C₂×C₆₁	1	1	yes	characteristic, complemented
843	#3177	C₂×C₆₁	1	1	yes	characteristic, complemented
844	#3172	C₂×C₆₁	1	1	yes	characteristic, complemented
845	#3127	C₂×C₆₁	1	1	yes	characteristic, complemented
846	#3123	C₂×C₆₁	1	1	yes	characteristic, complemented
847	#3121	C₂×C₆₁	1	1	yes	characteristic, complemented
848	#3120	C₂×C₆₁	1	1	yes	characteristic, complemented
849	#3117	C₂×C₆₁	1	1	yes	characteristic, complemented
850	#3116	C₂×C₆₁	1	1	yes	characteristic, complemented
851	#2967	C₂×C₆₁	1	1	yes	characteristic, complemented
852	#2949	C₂×C₆₁	1	1	yes	characteristic, complemented
853	#2947	C₂×C₆₁	1	1	yes	characteristic, complemented
854	C₄×#137	C₂×C₆₁	1	1	yes	characteristic, complemented
855	C₂×C₆₁	—	4	1	no	—
856	C₂×C₆₁	—	4	1	no	—
857	C₂×C₆₁	—	4	1	no	—
858	C₂×C₆₁	—	4	2	no	—
859	C₂×C₆₁	—	8	1	no	—
860	C₂×C₆₁	D₄×#41	1	1	yes	characteristic
861	C₂×C₆₁	#3586	1	1	yes	characteristic
862	C₂×C₆₁	#3586	1	1	yes	characteristic
863	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic
864	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic
865	C₂²×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
866	#557	—	2	1	no	—
867	#557	C₂²×C₆₁	1	1	yes	characteristic, complemented
868	#557	C₂²×C₆₁	1	1	yes	characteristic, complemented
869	#556	—	2	1	no	—
870	#556	C₂²×C₆₁	1	1	yes	characteristic
871	#556	C₂²×C₆₁	1	1	yes	characteristic
872	#556	C₂²×C₆₁	1	1	yes	characteristic
873	#554	C₂²×C₆₁	1	1	yes	characteristic
874	#553	—	2	1	no	—
875	#553	C₂²×C₆₁	1	1	yes	characteristic
876	#552	—	2	1	no	—
877	#552	—	2	1	no	—
878	#552	—	2	1	no	—
879	#552	C₂²×C₆₁	1	1	yes	characteristic
880	#552	C₂²×C₆₁	1	1	yes	characteristic
881	#552	C₂²×C₆₁	1	1	yes	characteristic, complemented
882	#551	—	2	1	no	—
883	#551	—	2	1	no	—
884	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
885	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
886	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
887	#547	C₂²×C₆₁	1	1	yes	characteristic
888	#546	C₂²×C₆₁	1	1	yes	characteristic
889	#546	C₂²×C₆₁	1	1	yes	characteristic
890	#542	C₂²×C₆₁	1	1	yes	characteristic
891	#541	—	2	1	no	—
892	#541	—	2	1	no	—
893	#541	C₂²×C₆₁	1	1	yes	characteristic
894	#541	C₂²×C₆₁	1	1	yes	characteristic
895	#541	C₂²×C₆₁	1	1	yes	characteristic, complemented
896	#539	—	2	1	no	—
897	#538	—	2	1	no	—
898	#533	—	2	1	no	—
899	#533	C₂²×C₆₁	1	1	yes	characteristic, complemented
900	#529	—	2	1	no	—
901	#529	—	2	1	no	—
902	#529	C₂²×C₆₁	1	1	yes	characteristic
903	#529	C₂²×C₆₁	1	1	yes	characteristic
904	C₂×#126	—	2	1	no	—
905	#520	C₂²×C₆₁	1	1	yes	characteristic
906	#519	C₂²×C₆₁	1	1	yes	characteristic
907	#519	C₂²×C₆₁	1	1	yes	characteristic, complemented
908	#518	C₂²×C₆₁	1	1	yes	characteristic
909	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
910	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
911	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
912	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
913	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
914	#497	C₂²×C₆₁	1	1	yes	characteristic
915	#497	C₂²×C₆₁	1	1	yes	characteristic
916	#494	C₂²×C₆₁	1	1	yes	characteristic, complemented
917	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
918	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
919	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
920	#489	C₂²×C₆₁	1	1	yes	characteristic
921	#488	C₂²×C₆₁	1	1	yes	characteristic
922	#487	C₂²×C₆₁	1	1	yes	characteristic, complemented
923	#485	C₂²×C₆₁	1	1	yes	characteristic
924	#485	C₂²×C₆₁	1	1	yes	characteristic
925	#485	C₂²×C₆₁	1	1	yes	characteristic
926	#485	C₂²×C₆₁	1	1	yes	characteristic
927	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
928	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
929	#485	C₂²×C₆₁	1	1	yes	characteristic, complemented
930	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
931	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
932	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
933	#482	C₂²×C₆₁	1	1	yes	characteristic
934	#481	C₂²×C₆₁	1	1	yes	characteristic
935	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
936	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
937	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
938	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
939	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
940	#478	C₂²×C₆₁	1	1	yes	characteristic
941	#478	C₂²×C₆₁	1	1	yes	characteristic
942	#478	C₂²×C₆₁	1	1	yes	characteristic
943	#477	C₂²×C₆₁	1	1	yes	characteristic, complemented
944	#477	C₂²×C₆₁	1	1	yes	characteristic, complemented
945	#476	C₂²×C₆₁	1	1	yes	characteristic
946	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
947	#470	C₂²×C₆₁	1	1	yes	characteristic
948	#470	C₂²×C₆₁	1	1	yes	characteristic
949	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
950	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
951	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
952	#468	C₂²×C₆₁	1	1	yes	characteristic
953	#468	C₂²×C₆₁	1	1	yes	characteristic
954	#468	C₂²×C₆₁	1	1	yes	characteristic
955	#467	C₂²×C₆₁	1	1	yes	characteristic
956	#467	C₂²×C₆₁	1	1	yes	characteristic
957	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
958	#465	C₂²×C₆₁	1	1	yes	characteristic
959	#464	C₂²×C₆₁	1	1	yes	characteristic
960	#464	C₂²×C₆₁	1	1	yes	characteristic
961	#464	C₂²×C₆₁	1	1	yes	characteristic
962	#464	C₂²×C₆₁	1	1	yes	characteristic
963	#462	C₂²×C₆₁	1	1	yes	characteristic, complemented
964	#462	C₂²×C₆₁	1	1	yes	characteristic, complemented
965	#462	C₂²×C₆₁	1	1	yes	characteristic, complemented
966	#462	C₂²×C₆₁	1	1	yes	characteristic, complemented
967	#461	C₂²×C₆₁	1	1	yes	characteristic
968	#461	C₂²×C₆₁	1	1	yes	characteristic
969	#461	C₂²×C₆₁	1	1	yes	characteristic
970	#461	C₂²×C₆₁	1	1	yes	characteristic
971	#452	C₂²×C₆₁	1	1	yes	characteristic
972	#452	C₂²×C₆₁	1	1	yes	characteristic
973	#452	C₂²×C₆₁	1	1	yes	characteristic
974	#452	C₂²×C₆₁	1	1	yes	characteristic
975	#451	C₂²×C₆₁	1	1	yes	characteristic
976	#451	C₂²×C₆₁	1	1	yes	characteristic
977	#451	C₂²×C₆₁	1	1	yes	characteristic, complemented
978	#451	C₂²×C₆₁	1	1	yes	characteristic, complemented
979	#450	C₂²×C₆₁	1	1	yes	characteristic
980	#450	C₂²×C₆₁	1	1	yes	characteristic
981	#448	C₂²×C₆₁	1	1	yes	characteristic
982	#448	C₂²×C₆₁	1	1	yes	characteristic
983	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
984	#446	C₂²×C₆₁	1	1	yes	characteristic, complemented
985	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
986	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
987	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
988	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
989	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
990	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
991	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
992	#440	C₂²×C₆₁	1	1	yes	characteristic
993	#440	C₂²×C₆₁	1	1	yes	characteristic
994	#440	C₂²×C₆₁	1	1	yes	characteristic
995	#440	C₂²×C₆₁	1	1	yes	characteristic
996	#440	C₂²×C₆₁	1	1	yes	characteristic
997	#440	C₂²×C₆₁	1	1	yes	characteristic
998	#440	C₂²×C₆₁	1	1	yes	characteristic
999	#440	C₂²×C₆₁	1	1	yes	characteristic
1000	#440	C₂²×C₆₁	1	1	yes	characteristic
1001	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1002	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1003	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1004	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1005	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1006	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1007	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1008	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1009	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1010	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1011	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1012	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1013	#436	C₂²×C₆₁	1	1	yes	characteristic
1014	#436	C₂²×C₆₁	1	1	yes	characteristic, complemented
1015	#435	C₂²×C₆₁	1	1	yes	characteristic
1016	#435	C₂²×C₆₁	1	1	yes	characteristic
1017	#435	C₂²×C₆₁	1	1	yes	characteristic
1018	#435	C₂²×C₆₁	1	1	yes	characteristic, complemented
1019	#433	C₂²×C₆₁	1	1	yes	characteristic
1020	#433	C₂²×C₆₁	1	1	yes	characteristic, complemented
1021	#432	C₂²×C₆₁	1	1	yes	characteristic, complemented
1022	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1023	#428	C₂²×C₆₁	1	1	yes	characteristic, complemented
1024	#427	C₂²×C₆₁	1	1	yes	characteristic
1025	#419	C₂²×C₆₁	1	1	yes	characteristic
1026	#419	C₂²×C₆₁	1	1	yes	characteristic, complemented
1027	#418	C₂²×C₆₁	1	1	yes	characteristic
1028	#417	C₂²×C₆₁	1	1	yes	characteristic
1029	#416	C₂²×C₆₁	1	1	yes	characteristic
1030	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic, complemented
1031	#405	C₂²×C₆₁	1	1	yes	characteristic
1032	#405	C₂²×C₆₁	1	1	yes	characteristic, complemented
1033	C₄×M₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1034	C₆₁	#61514	1	1	yes	characteristic, direct product factor, Sylow
1035	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1036	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1037	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1038	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1039	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1040	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1041	#137	—	2	4	no	—
1042	#137	—	2	4	no	—
1043	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1044	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1045	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1046	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1047	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1048	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1049	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1050	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1051	C₂×SD₁₆	—	2	4	no	—
1052	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1060	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1061	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1062	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1063	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1065	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1066	C₄⋊Q₈	—	2	1	no	—
1067	C₄⋊Q₈	—	2	1	no	—
1068	C₄⋊Q₈	—	2	1	no	—
1069	C₄⋊Q₈	—	2	1	no	—
1070	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1071	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1072	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1073	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1074	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	D₄×C₆₁	1	1	yes	characteristic
1095	#126	D₄×C₆₁	1	1	yes	characteristic
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	D₄×C₆₁	1	1	yes	characteristic
1112	#125	C₂³×C₆₁	1	1	yes	characteristic
1113	#125	C₂³×C₆₁	1	1	yes	characteristic
1114	#125	C₂³×C₆₁	1	1	yes	characteristic
1115	#125	C₂³×C₆₁	1	1	yes	characteristic
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	D₄×C₆₁	1	1	yes	characteristic
1120	#124	C₂³×C₆₁	1	1	yes	characteristic
1121	#124	C₂³×C₆₁	1	1	yes	characteristic
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	D₄×C₆₁	1	1	yes	characteristic
1133	#123	D₄×C₆₁	1	1	yes	characteristic
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1154	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	D₄×C₆₁	1	1	yes	characteristic
1162	#121	C₂³×C₆₁	1	1	yes	characteristic
1163	#121	C₂³×C₆₁	1	1	yes	characteristic
1164	#120	—	2	1	no	—
1165	#120	—	2	1	no	—
1166	C₄×Q₈	—	2	1	no	—
1167	C₄×Q₈	—	2	1	no	—
1168	C₄×Q₈	—	2	1	no	—
1169	C₄×Q₈	—	2	1	no	—
1170	C₄×Q₈	—	2	1	no	—
1171	C₄×Q₈	—	2	1	no	—
1172	C₄×Q₈	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	C₂³×C₆₁	1	1	yes	characteristic
1225	#117	C₂³×C₆₁	1	1	yes	characteristic
1226	#117	C₂³×C₆₁	1	1	yes	characteristic
1227	#117	C₂³×C₆₁	1	1	yes	characteristic
1228	#117	C₂³×C₆₁	1	1	yes	characteristic
1229	#117	C₂³×C₆₁	1	1	yes	characteristic
1230	C₂×C₄⋊C₄	—	2	1	no	—
1231	C₂×C₄⋊C₄	—	2	1	no	—
1232	C₂×C₄⋊C₄	—	2	1	no	—
1233	C₂×C₄⋊C₄	—	2	1	no	—
1234	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1235	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1236	C₂×C₂²⋊C₄	—	2	1	no	—
1237	C₂×C₂²⋊C₄	—	2	1	no	—
1238	C₂×C₂²⋊C₄	—	2	1	no	—
1239	C₂×C₂²⋊C₄	—	2	1	no	—
1240	C₂×C₄²	—	2	1	no	—
1241	C₂×C₄²	—	2	1	no	—
1242	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1243	#107	C₂³×C₆₁	1	1	yes	characteristic
1244	#107	C₂³×C₆₁	1	1	yes	characteristic
1245	#107	C₂³×C₆₁	1	1	yes	characteristic
1246	#107	C₂³×C₆₁	1	1	yes	characteristic
1247	#107	C₂³×C₆₁	1	1	yes	characteristic
1248	#107	C₂³×C₆₁	1	1	yes	characteristic
1249	#107	C₂³×C₆₁	1	1	yes	characteristic
1250	#107	C₂³×C₆₁	1	1	yes	characteristic
1251	#106	C₂³×C₆₁	1	1	yes	characteristic
1252	#106	C₂³×C₆₁	1	1	yes	characteristic
1253	#106	C₂³×C₆₁	1	1	yes	characteristic
1254	#106	C₂³×C₆₁	1	1	yes	characteristic
1255	#106	C₂³×C₆₁	1	1	yes	characteristic
1256	#106	C₂³×C₆₁	1	1	yes	characteristic
1257	#106	C₂³×C₆₁	1	1	yes	characteristic
1258	#106	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	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1264	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1265	#103	C₂³×C₆₁	1	1	yes	characteristic
1266	#103	C₂³×C₆₁	1	1	yes	characteristic
1267	#103	C₂³×C₆₁	1	1	yes	characteristic
1268	#103	C₂³×C₆₁	1	1	yes	characteristic
1269	#103	C₂³×C₆₁	1	1	yes	characteristic
1270	#103	C₂³×C₆₁	1	1	yes	characteristic
1271	#103	C₂³×C₆₁	1	1	yes	characteristic
1272	#103	C₂³×C₆₁	1	1	yes	characteristic
1273	#103	C₂³×C₆₁	1	1	yes	characteristic
1274	#103	C₂³×C₆₁	1	1	yes	characteristic
1275	#103	C₂³×C₆₁	1	1	yes	characteristic
1276	#103	C₂³×C₆₁	1	1	yes	characteristic
1277	#103	C₂³×C₆₁	1	1	yes	characteristic
1278	#103	C₂³×C₆₁	1	1	yes	characteristic
1279	#103	C₂³×C₆₁	1	1	yes	characteristic
1280	#103	C₂³×C₆₁	1	1	yes	characteristic
1281	#103	C₂³×C₆₁	1	1	yes	characteristic
1282	#103	C₂³×C₆₁	1	1	yes	characteristic
1283	#103	C₂³×C₆₁	1	1	yes	characteristic
1284	#103	C₂³×C₆₁	1	1	yes	characteristic
1285	#103	C₂³×C₆₁	1	1	yes	characteristic
1286	#103	C₂³×C₆₁	1	1	yes	characteristic
1287	#103	C₂³×C₆₁	1	1	yes	characteristic
1288	#103	C₂³×C₆₁	1	1	yes	characteristic
1289	#102	C₂³×C₆₁	1	1	yes	characteristic
1290	#102	C₂³×C₆₁	1	1	yes	characteristic
1291	#102	C₂³×C₆₁	1	1	yes	characteristic
1292	#102	C₂³×C₆₁	1	1	yes	characteristic
1293	#102	C₂³×C₆₁	1	1	yes	characteristic
1294	#102	C₂³×C₆₁	1	1	yes	characteristic
1295	#102	C₂³×C₆₁	1	1	yes	characteristic
1296	#102	C₂³×C₆₁	1	1	yes	characteristic
1297	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1298	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1299	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1300	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1301	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1303	#97	C₂³×C₆₁	1	1	yes	characteristic
1304	#97	C₂³×C₆₁	1	1	yes	characteristic
1305	#97	C₂³×C₆₁	1	1	yes	characteristic
1306	#97	C₂³×C₆₁	1	1	yes	characteristic
1307	#97	C₂³×C₆₁	1	1	yes	characteristic
1308	#97	C₂³×C₆₁	1	1	yes	characteristic
1309	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1310	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1311	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1312	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1313	C₂⁴	—	2	1	no	—
1314	#41	—	2	2	no	—
1315	#41	—	2	2	no	—
1316	#41	—	4	1	no	—
1317	#41	—	4	1	no	—
1318	C₂×Q₈	—	2	1	no	—
1319	C₂×Q₈	—	2	1	no	—
1320	C₂×Q₈	—	2	1	no	—
1321	C₂×Q₈	—	2	1	no	—
1322	C₂×Q₈	—	2	1	no	—
1323	C₂×Q₈	—	2	2	no	—
1324	C₂×Q₈	—	2	2	no	—
1325	C₂×Q₈	—	2	2	no	—
1326	C₂×Q₈	—	4	1	no	—
1327	C₂×Q₈	—	4	1	no	—
1328	C₂×Q₈	—	4	1	no	—
1329	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1330	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1331	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1332	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1333	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1334	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1335	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1336	C₂×D₄	—	2	2	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	4	1	no	—
1343	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1344	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1345	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1346	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1347	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1362	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1366	Q₁₆	—	2	2	no	—
1367	Q₁₆	—	2	2	no	—
1368	Q₁₆	—	2	2	no	—
1369	Q₁₆	—	2	2	no	—
1370	Q₁₆	—	4	1	no	—
1371	Q₁₆	—	4	1	no	—
1372	Q₁₆	—	4	1	no	—
1373	Q₁₆	—	4	1	no	—
1374	SD₁₆	—	2	2	no	—
1375	SD₁₆	—	2	2	no	—
1376	SD₁₆	—	2	2	no	—
1377	SD₁₆	—	2	2	no	—
1378	SD₁₆	—	2	2	no	—
1379	SD₁₆	—	4	1	no	—
1380	SD₁₆	—	4	1	no	—
1381	SD₁₆	#41×C₆₁	1	4	yes	—
1382	M₁₆	—	2	2	no	—
1383	M₁₆	—	2	2	no	—
1384	M₁₆	—	4	1	no	—
1385	M₁₆	—	4	1	no	—
1386	C₂×C₈	—	2	2	no	—
1387	C₂×C₈	—	4	1	no	—
1388	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1389	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1390	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1391	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1392	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1393	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1394	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1395	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1441	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1442	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1444	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1445	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1450	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1451	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1452	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1453	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1457	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1488	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1489	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1490	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1491	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1492	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1493	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1494	C₄²	—	2	1	no	—
1495	C₄²	—	2	1	no	—
1496	C₄²	—	2	1	no	—
1497	C₄²	—	2	1	no	—
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1513	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1514	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1515	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1516	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1517	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	4	2	no	—
1521	C₂³	—	8	1	no	—
1522	C₂³	—	8	1	no	—
1523	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1524	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1525	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	2	1	no	—
1535	Q₈	—	2	1	no	—
1536	Q₈	—	2	1	no	—
1537	Q₈	—	4	1	no	—
1538	Q₈	—	4	2	no	—
1539	Q₈	—	4	2	no	—
1540	Q₈	—	4	2	no	—
1541	Q₈	—	4	2	no	—
1542	Q₈	—	8	1	no	—
1543	Q₈	C₂×#41×C₆₁	1	2	yes	—
1544	D₄	—	2	1	no	—
1545	D₄	—	2	1	no	—
1546	D₄	—	2	1	no	—
1547	D₄	—	4	1	no	—
1548	D₄	—	4	1	no	—
1549	D₄	—	4	1	no	—
1550	D₄	—	4	2	no	—
1551	D₄	—	4	2	no	—
1552	D₄	—	4	2	no	—
1553	D₄	—	8	1	no	—
1554	D₄	—	8	1	no	—
1555	D₄	C₂×#41×C₆₁	1	2	yes	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	4	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	2	no	—
1579	C₂×C₄	—	4	2	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	4	2	no	—
1583	C₂×C₄	—	4	2	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	8	1	no	—
1588	C₂×C₄	—	8	1	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	—	8	1	no	—
1591	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1592	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1593	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1594	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1595	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1596	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1597	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1598	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1599	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1600	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1601	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1602	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	2	1	no	—
1609	C₈	—	2	1	no	—
1610	C₈	C₂×#41×C₆₁	1	2	yes	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	2	1	no	—
1618	C₂²	—	2	1	no	—
1619	C₂²	—	2	1	no	—
1620	C₂²	—	2	2	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	16	2	no	—
1627	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1628	C₄	—	2	1	no	—
1629	C₄	—	2	1	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	2	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	C₂²×#41×C₆₁	1	1	yes	characteristic
1654	C₄	C₆₁×#585	1	1	yes	characteristic
1655	C₂	—	4	1	no	—
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	4	2	no	—
1659	C₂	—	8	1	no	—
1660	C₂	D₄×#41×C₆₁	1	1	yes	characteristic
1661	C₂	C₆₁×#3586	1	1	yes	characteristic
1662	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×#3521	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ C₆₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3523	C₂	semidirect
3. C₆₁×#3398	C₂	semidirect
4. C₆₁×#3388	C₂	semidirect
5. C₆₁×#3377	C₂	semidirect
6. C₆₁×#3372	C₂	semidirect
7. C₆₁×#3351	C₂	semidirect
8. C₆₁×#3349	C₂	semidirect
9. C₆₁×#3349	C₂	semidirect
10. C₆₁×#3328	C₂	semidirect
11. C₆₁×#3323	C₂	semidirect
12. C₆₁×#3320	C₂	semidirect
13. C₆₁×#3315	C₂	semidirect
14. C₆₁×#3312	C₂	semidirect
15. C₆₁×#3311	C₂	semidirect
16. C₆₁×#3276	C₂	semidirect
17. C₆₁×#3266	C₂	semidirect
18. C₆₁×#3266	C₂	semidirect
19. C₆₁×#3178	C₂	semidirect
20. C₆₁×#3177	C₂	semidirect
21. C₆₁×#3172	C₂	semidirect
22. C₆₁×#3127	C₂	semidirect
23. C₆₁×#3123	C₂	semidirect
24. C₆₁×#3121	C₂	semidirect
25. C₆₁×#3120	C₂	semidirect
26. C₆₁×#3117	C₂	semidirect
27. C₆₁×#3116	C₂	semidirect
28. C₆₁×#2967	C₂	semidirect
29. C₆₁×#2949	C₂	semidirect
30. C₆₁×#2947	C₂	semidirect
31. C₄×#137×C₆₁	C₂	semidirect
36. C₆₁×#557	C₂²	semidirect
37. C₆₁×#557	C₂²	semidirect
50. C₆₁×#552	C₂²	semidirect
55. D₄×Q₈×C₆₁	C₂²	semidirect
64. C₆₁×#541	C₂²	semidirect
68. C₆₁×#533	C₂²	semidirect
76. C₆₁×#519	C₂²	semidirect
79. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
80. C₆₁×#501	C₂²	semidirect
81. C₆₁×#501	C₂²	semidirect
82. C₆₁×#499	C₂²	semidirect
85. C₆₁×#494	C₂²	semidirect
86. C₆₁×#491	C₂²	semidirect
87. C₆₁×#491	C₂²	semidirect
88. C₆₁×#491	C₂²	semidirect
91. C₆₁×#487	C₂²	semidirect
96. C₆₁×#485	C₂²	semidirect
97. C₆₁×#485	C₂²	semidirect
98. C₆₁×#485	C₂²	semidirect
99. C₆₁×#484	C₂²	semidirect
100. C₆₁×#484	C₂²	semidirect
101. C₆₁×#483	C₂²	semidirect
104. C₆₁×#479	C₂²	semidirect
105. C₆₁×#479	C₂²	semidirect
106. C₆₁×#479	C₂²	semidirect
107. C₆₁×#479	C₂²	semidirect
108. C₆₁×#479	C₂²	semidirect
112. C₆₁×#477	C₂²	semidirect
113. C₆₁×#477	C₂²	semidirect
115. C₆₁×#475	C₂²	semidirect
118. C₆₁×#470	C₂²	semidirect
119. C₆₁×#470	C₂²	semidirect
120. C₆₁×#470	C₂²	semidirect
126. C₆₁×#467	C₂²	semidirect
132. C₆₁×#462	C₂²	semidirect
133. C₆₁×#462	C₂²	semidirect
134. C₆₁×#462	C₂²	semidirect
135. C₆₁×#462	C₂²	semidirect
146. C₆₁×#451	C₂²	semidirect
147. C₆₁×#451	C₂²	semidirect
152. C₆₁×#446	C₂²	semidirect
153. C₆₁×#446	C₂²	semidirect
154. C₆₁×#441	C₂²	semidirect
155. C₆₁×#441	C₂²	semidirect
156. C₆₁×#441	C₂²	semidirect
157. C₆₁×#441	C₂²	semidirect
158. C₆₁×#441	C₂²	semidirect
159. C₆₁×#441	C₂²	semidirect
160. C₆₁×#441	C₂²	semidirect
170. C₄×Q₁₆×C₆₁	C₂²	semidirect
171. C₄×Q₁₆×C₆₁	C₂²	semidirect
172. C₄×Q₁₆×C₆₁	C₂²	semidirect
173. C₄×Q₁₆×C₆₁	C₂²	semidirect
174. C₄×Q₁₆×C₆₁	C₂²	semidirect
183. C₆₁×#436	C₂²	semidirect
187. C₆₁×#435	C₂²	semidirect
189. C₆₁×#433	C₂²	semidirect
190. C₆₁×#432	C₂²	semidirect
191. C₆₁×#428	C₂²	semidirect
192. C₆₁×#428	C₂²	semidirect
195. C₆₁×#419	C₂²	semidirect
199. C₂×#103×C₆₁	C₂²	semidirect
201. C₆₁×#405	C₂²	semidirect
202. C₄×M₁₆×C₆₁	C₂²	semidirect
779. #61514	C₆₁	direct (N × H)
824. #3523	C₂×C₆₁	semidirect
826. #3398	C₂×C₆₁	semidirect
827. #3388	C₂×C₆₁	semidirect
828. #3377	C₂×C₆₁	semidirect
829. #3372	C₂×C₆₁	semidirect
830. #3351	C₂×C₆₁	semidirect
831. #3349	C₂×C₆₁	semidirect
832. #3349	C₂×C₆₁	semidirect
833. #3328	C₂×C₆₁	semidirect
834. #3323	C₂×C₆₁	semidirect
835. #3320	C₂×C₆₁	semidirect
836. #3315	C₂×C₆₁	semidirect
837. #3312	C₂×C₆₁	semidirect
838. #3311	C₂×C₆₁	semidirect
839. #3276	C₂×C₆₁	semidirect
840. #3266	C₂×C₆₁	semidirect
841. #3266	C₂×C₆₁	semidirect
842. #3178	C₂×C₆₁	semidirect
843. #3177	C₂×C₆₁	semidirect
844. #3172	C₂×C₆₁	semidirect
845. #3127	C₂×C₆₁	semidirect
846. #3123	C₂×C₆₁	semidirect
847. #3121	C₂×C₆₁	semidirect
848. #3120	C₂×C₆₁	semidirect
849. #3117	C₂×C₆₁	semidirect
850. #3116	C₂×C₆₁	semidirect
851. #2967	C₂×C₆₁	semidirect
852. #2949	C₂×C₆₁	semidirect
853. #2947	C₂×C₆₁	semidirect
854. C₄×#137	C₂×C₆₁	semidirect
867. #557	C₂²×C₆₁	semidirect
868. #557	C₂²×C₆₁	semidirect
881. #552	C₂²×C₆₁	semidirect
886. D₄×Q₈	C₂²×C₆₁	semidirect
895. #541	C₂²×C₆₁	semidirect
899. #533	C₂²×C₆₁	semidirect
907. #519	C₂²×C₆₁	semidirect
910. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
911. #501	C₂²×C₆₁	semidirect
912. #501	C₂²×C₆₁	semidirect
913. #499	C₂²×C₆₁	semidirect
916. #494	C₂²×C₆₁	semidirect
917. #491	C₂²×C₆₁	semidirect
918. #491	C₂²×C₆₁	semidirect
919. #491	C₂²×C₆₁	semidirect
922. #487	C₂²×C₆₁	semidirect
927. #485	C₂²×C₆₁	semidirect
928. #485	C₂²×C₆₁	semidirect
929. #485	C₂²×C₆₁	semidirect
930. #484	C₂²×C₆₁	semidirect
931. #484	C₂²×C₆₁	semidirect
932. #483	C₂²×C₆₁	semidirect
935. #479	C₂²×C₆₁	semidirect
936. #479	C₂²×C₆₁	semidirect
937. #479	C₂²×C₆₁	semidirect
938. #479	C₂²×C₆₁	semidirect
939. #479	C₂²×C₆₁	semidirect
943. #477	C₂²×C₆₁	semidirect
944. #477	C₂²×C₆₁	semidirect
946. #475	C₂²×C₆₁	semidirect
949. #470	C₂²×C₆₁	semidirect
950. #470	C₂²×C₆₁	semidirect
951. #470	C₂²×C₆₁	semidirect
957. #467	C₂²×C₆₁	semidirect
963. #462	C₂²×C₆₁	semidirect
964. #462	C₂²×C₆₁	semidirect
965. #462	C₂²×C₆₁	semidirect
966. #462	C₂²×C₆₁	semidirect
977. #451	C₂²×C₆₁	semidirect
978. #451	C₂²×C₆₁	semidirect
983. #446	C₂²×C₆₁	semidirect
984. #446	C₂²×C₆₁	semidirect
985. #441	C₂²×C₆₁	semidirect
986. #441	C₂²×C₆₁	semidirect
987. #441	C₂²×C₆₁	semidirect
988. #441	C₂²×C₆₁	semidirect
989. #441	C₂²×C₆₁	semidirect
990. #441	C₂²×C₆₁	semidirect
991. #441	C₂²×C₆₁	semidirect
1001. C₄×Q₁₆	C₂²×C₆₁	semidirect
1002. C₄×Q₁₆	C₂²×C₆₁	semidirect
1003. C₄×Q₁₆	C₂²×C₆₁	semidirect
1004. C₄×Q₁₆	C₂²×C₆₁	semidirect
1005. C₄×Q₁₆	C₂²×C₆₁	semidirect
1014. #436	C₂²×C₆₁	semidirect
1018. #435	C₂²×C₆₁	semidirect
1020. #433	C₂²×C₆₁	semidirect
1021. #432	C₂²×C₆₁	semidirect
1022. #428	C₂²×C₆₁	semidirect
1023. #428	C₂²×C₆₁	semidirect
1026. #419	C₂²×C₆₁	semidirect
1030. C₂×#103	C₂²×C₆₁	semidirect
1032. #405	C₂²×C₆₁	semidirect
1033. C₄×M₁₆	C₂²×C₆₁	semidirect
1034. C₆₁	#61514	direct (N × H)

Maximal subgroups

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

subgroup	index
C₆₁×#3523	2
C₆₁×#3521	2
C₆₁×#3398	2
C₆₁×#3388	2
C₆₁×#3377	2
C₆₁×#3372	2
C₆₁×#3351	2
C₆₁×#3349	2
C₆₁×#3328	2
C₆₁×#3323	2
C₆₁×#3320	2
C₆₁×#3315	2
C₆₁×#3312	2
C₆₁×#3311	2
C₆₁×#3276	2
C₆₁×#3266	2
C₆₁×#3178	2
C₆₁×#3177	2
C₆₁×#3172	2
C₆₁×#3127	2
C₆₁×#3123	2
C₆₁×#3121	2
C₆₁×#3120	2
C₆₁×#3117	2
C₆₁×#3116	2
C₆₁×#2967	2
C₆₁×#2949	2
C₆₁×#2947	2
C₄×#137×C₆₁	2
#61514	61

Subgroups — C61×#61514 #29564947

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#61514 #29564947