Subgroups — C₆₁×#62955 #29566388

Order 15616.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3562	C₂	1	4	yes	maximal, complemented
2	C₆₁×#3554	C₂	1	2	yes	maximal, complemented
3	C₆₁×#3548	C₂	1	2	yes	maximal, complemented
4	C₆₁×#3546	C₂	1	2	yes	maximal, complemented
5	C₆₁×#3546	C₂	1	4	yes	maximal, complemented
6	C₆₁×#3543	C₂	1	4	yes	maximal, complemented
7	C₆₁×#3543	C₂	1	2	yes	maximal, complemented
8	C₆₁×#3542	C₂	1	4	yes	maximal, complemented
9	C₆₁×#3539	C₂	1	4	yes	maximal, complemented
10	C₆₁×#3534	C₂	1	8	yes	maximal, complemented
11	C₆₁×#3519	C₂	1	2	yes	maximal, complemented
12	C₆₁×#3517	C₂	1	2	yes	maximal, complemented
13	C₆₁×#3513	C₂	1	4	yes	maximal, complemented
14	C₆₁×#3508	C₂	1	2	yes	maximal, complemented
15	C₆₁×#3508	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3506	C₂	1	2	yes	maximal, complemented
18	C₆₁×#3498	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3494	C₂	1	2	yes	maximal, complemented
20	C₆₁×#3488	C₂	1	2	yes	maximal, complemented
21	C₆₁×#3485	C₂	1	2	yes	maximal, complemented
22	C₆₁×#3475	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×#41×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₆₁×#550	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3461	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3449	C₂	1	2	yes	maximal, complemented
27	C₂×H(5,𝔽₂)×C₆₁	C₂²	1	2	yes	complemented
28	C₂²×#41×C₆₁	C₂²	1	2	yes	complemented
29	C₂²×#41×C₆₁	C₂²	1	2	yes	complemented
30	C₆₁×#562	C₂²	1	8	yes	complemented
31	C₆₁×#562	C₂²	1	8	yes	complemented
32	C₆₁×#560	C₂²	1	8	yes	complemented
33	C₆₁×#560	C₂²	1	8	yes	complemented
34	C₆₁×#560	C₂²	1	8	yes	complemented
35	C₆₁×#560	C₂²	1	8	yes	complemented
36	C₆₁×#559	C₂²	1	4	yes	complemented
37	C₆₁×#559	C₂²	1	2	yes	complemented
38	C₆₁×#559	C₂²	1	2	yes	complemented
39	C₆₁×#559	C₂²	1	2	yes	complemented
40	C₆₁×#559	C₂²	1	4	yes	complemented
41	C₆₁×#557	C₂²	1	2	yes	complemented
42	C₆₁×#556	C₂²	1	4	yes	complemented
43	C₆₁×#556	C₂²	1	2	yes	complemented
44	C₆₁×#556	C₂²	1	1	yes	characteristic, complemented
45	C₆₁×#555	C₂²	1	1	yes	characteristic, complemented
46	C₆₁×#555	C₂²	1	4	yes	complemented
47	C₆₁×#554	C₂²	1	1	yes	characteristic, complemented
48	C₆₁×#554	C₂²	1	4	yes	complemented
49	C₆₁×#554	C₂²	1	2	yes	complemented
50	C₆₁×#553	C₂²	1	4	yes	complemented
51	C₆₁×#553	C₂²	1	8	yes	complemented
52	C₆₁×#553	C₂²	1	8	yes	complemented
53	C₆₁×#553	C₂²	1	2	yes	complemented
54	C₆₁×#553	C₂²	1	4	yes	complemented
55	C₆₁×#553	C₂²	1	4	yes	complemented
56	C₆₁×#553	C₂²	1	8	yes	complemented
57	C₆₁×#552	C₂²	1	2	yes	complemented
58	C₆₁×#552	C₂²	1	2	yes	complemented
59	C₆₁×#552	C₂²	1	4	yes	complemented
60	C₆₁×#551	C₂²	1	8	yes	complemented
61	C₆₁×#551	C₂²	1	4	yes	complemented
62	C₆₁×#551	C₂²	1	8	yes	complemented
63	C₆₁×#550	C₂²	1	4	yes	complemented
64	C₆₁×#550	C₂²	1	4	yes	complemented
65	C₆₁×#550	C₂²	1	2	yes	complemented
66	C₆₁×#550	C₂²	1	2	yes	complemented
67	C₆₁×#550	C₂²	1	2	yes	complemented
68	C₆₁×#550	C₂²	1	2	yes	complemented
69	C₆₁×#550	C₂²	1	4	yes	complemented
70	C₆₁×#550	C₂²	1	4	yes	complemented
71	C₆₁×#550	C₂²	1	2	yes	complemented
72	C₆₁×#550	C₂²	1	2	yes	complemented
73	C₆₁×#550	C₂²	1	2	yes	complemented
74	C₆₁×#550	C₂²	1	4	yes	complemented
75	C₆₁×#550	C₂²	1	1	yes	characteristic, complemented
76	C₆₁×#550	C₂²	1	2	yes	complemented
77	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
78	C₆₁×#548	C₂²	1	4	yes	complemented
79	C₆₁×#548	C₂²	1	2	yes	complemented
80	C₆₁×#547	C₂²	1	1	yes	characteristic, complemented
81	C₆₁×#547	C₂²	1	4	yes	complemented
82	C₆₁×#547	C₂²	1	4	yes	complemented
83	C₆₁×#547	C₂²	1	4	yes	complemented
84	C₆₁×#547	C₂²	1	4	yes	complemented
85	C₆₁×#547	C₂²	1	2	yes	complemented
86	C₆₁×#547	C₂²	1	1	yes	characteristic, complemented
87	C₆₁×#547	C₂²	1	4	yes	complemented
88	C₆₁×#546	C₂²	1	2	yes	complemented
89	C₆₁×#546	C₂²	1	4	yes	complemented
90	C₆₁×#546	C₂²	1	4	yes	complemented
91	C₆₁×#546	C₂²	1	8	yes	complemented
92	C₆₁×#546	C₂²	1	4	yes	complemented
93	C₆₁×#546	C₂²	1	2	yes	complemented
94	C₆₁×#546	C₂²	1	4	yes	complemented
95	C₆₁×#546	C₂²	1	4	yes	complemented
96	C₆₁×#546	C₂²	1	8	yes	complemented
97	C₆₁×#546	C₂²	1	4	yes	complemented
98	C₆₁×#546	C₂²	1	4	yes	complemented
99	C₆₁×#546	C₂²	1	4	yes	complemented
100	C₆₁×#546	C₂²	1	8	yes	complemented
101	C₆₁×#546	C₂²	1	4	yes	complemented
102	C₆₁×#546	C₂²	1	8	yes	complemented
103	D₄²×C₆₁	C₂²	1	2	yes	complemented
104	D₄²×C₆₁	C₂²	1	1	yes	characteristic, complemented
105	D₄²×C₆₁	C₂²	1	4	yes	complemented
106	D₄²×C₆₁	C₂²	1	4	yes	complemented
107	D₄²×C₆₁	C₂²	1	8	yes	complemented
108	D₄²×C₆₁	C₂²	1	4	yes	complemented
109	D₄²×C₆₁	C₂²	1	2	yes	complemented
110	D₄²×C₆₁	C₂²	1	4	yes	complemented
111	D₄²×C₆₁	C₂²	1	2	yes	complemented
112	C₆₁×#544	C₂²	1	1	yes	characteristic, complemented
113	C₆₁×#542	C₂²	1	2	yes	complemented
114	C₆₁×#542	C₂²	1	4	yes	complemented
115	C₆₁×#542	C₂²	1	4	yes	complemented
116	C₆₁×#542	C₂²	1	2	yes	complemented
117	C₆₁×#541	C₂²	1	2	yes	complemented
118	C₆₁×#541	C₂²	1	2	yes	complemented
119	C₆₁×#540	C₂²	1	4	yes	complemented
120	C₆₁×#540	C₂²	1	4	yes	complemented
121	C₆₁×#540	C₂²	1	4	yes	complemented
122	C₆₁×#540	C₂²	1	4	yes	complemented
123	C₆₁×#540	C₂²	1	8	yes	complemented
124	C₆₁×#540	C₂²	1	8	yes	complemented
125	C₆₁×#540	C₂²	1	4	yes	complemented
126	C₆₁×#540	C₂²	1	8	yes	complemented
127	C₆₁×#539	C₂²	1	8	yes	complemented
128	C₆₁×#539	C₂²	1	8	yes	complemented
129	C₆₁×#539	C₂²	1	4	yes	complemented
130	C₆₁×#539	C₂²	1	4	yes	complemented
131	C₆₁×#538	C₂²	1	8	yes	complemented
132	C₆₁×#538	C₂²	1	8	yes	complemented
133	C₆₁×#538	C₂²	1	8	yes	complemented
134	C₆₁×#538	C₂²	1	8	yes	complemented
135	C₆₁×#537	C₂²	1	1	yes	characteristic
136	C₆₁×#537	C₂²	1	8	yes	complemented
137	C₆₁×#537	C₂²	1	4	yes	complemented
138	C₆₁×#537	C₂²	1	4	yes	complemented
139	C₆₁×#537	C₂²	1	4	yes	complemented
140	C₆₁×#536	C₂²	1	4	yes	complemented
141	C₆₁×#536	C₂²	1	1	yes	characteristic, complemented
142	C₆₁×#536	C₂²	1	2	yes	complemented
143	C₆₁×#536	C₂²	1	1	yes	characteristic, complemented
144	C₆₁×#535	C₂²	1	4	yes	complemented
145	C₆₁×#535	C₂²	1	4	yes	complemented
146	C₆₁×#535	C₂²	1	4	yes	complemented
147	C₆₁×#535	C₂²	1	8	yes	complemented
148	C₆₁×#535	C₂²	1	4	yes	complemented
149	C₆₁×#535	C₂²	1	4	yes	complemented
150	C₆₁×#535	C₂²	1	2	yes	complemented
151	C₆₁×#535	C₂²	1	2	yes	complemented
152	C₆₁×#534	C₂²	1	8	yes	complemented
153	C₆₁×#534	C₂²	1	8	yes	complemented
154	C₆₁×#534	C₂²	1	8	yes	complemented
155	C₆₁×#533	C₂²	1	2	yes	complemented
156	C₆₁×#533	C₂²	1	2	yes	complemented
157	C₆₁×#533	C₂²	1	1	yes	characteristic, complemented
158	C₆₁×#532	C₂²	1	1	yes	characteristic
159	C₆₁×#532	C₂²	1	2	yes	complemented
160	C₆₁×#532	C₂²	1	4	yes	complemented
161	C₆₁×#532	C₂²	1	4	yes	complemented
162	C₆₁×#532	C₂²	1	2	yes	complemented
163	C₆₁×#532	C₂²	1	2	yes	complemented
164	C₆₁×#532	C₂²	1	2	yes	complemented
165	C₆₁×#532	C₂²	1	4	yes	complemented
166	C₂×#127×C₆₁	C₂²	1	2	yes	complemented
167	C₂×#127×C₆₁	C₂²	1	2	yes	complemented
168	C₂×#127×C₆₁	C₂²	1	1	yes	characteristic, complemented
169	C₆₁×#529	C₂²	1	2	yes	complemented
170	C₆₁×#529	C₂²	1	4	yes	complemented
171	C₆₁×#529	C₂²	1	2	yes	complemented
172	C₆₁×#529	C₂²	1	4	yes	complemented
173	C₆₁×#529	C₂²	1	4	yes	complemented
174	C₆₁×#529	C₂²	1	2	yes	complemented
175	C₆₁×#529	C₂²	1	4	yes	complemented
176	C₆₁×#525	C₂²	1	4	yes	complemented
177	C₆₁×#525	C₂²	1	8	yes	complemented
178	C₆₁×#525	C₂²	1	4	yes	complemented
179	C₆₁×#525	C₂²	1	2	yes	complemented
180	C₆₁×#525	C₂²	1	4	yes	complemented
181	C₆₁×#525	C₂²	1	2	yes	complemented
182	C₆₁×#525	C₂²	1	4	yes	complemented
183	C₂×#123×C₆₁	C₂²	1	8	yes	complemented
184	C₂×#121×C₆₁	C₂²	1	2	yes	complemented
185	C₂×#121×C₆₁	C₂²	1	4	yes	complemented
186	C₂×#121×C₆₁	C₂²	1	4	yes	complemented
187	C₆₁×#520	C₂²	1	2	yes	complemented
188	C₆₁×#520	C₂²	1	4	yes	complemented
189	C₆₁×#518	C₂²	1	2	yes	complemented
190	C₆₁×#518	C₂²	1	4	yes	complemented
191	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
192	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
193	C₄×#41×C₆₁	C₂²	1	2	yes	complemented
194	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	complemented
197	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	complemented
198	C₂×#117×C₆₁	C₂²	1	2	yes	complemented
199	H(5,𝔽₂)×C₆₁	—	4	8	no	—
200	C₂×#41×C₆₁	—	4	8	no	—
201	C₂×#41×C₆₁	—	4	8	no	—
202	C₂×#41×C₆₁	C₂³	1	2	yes	—
203	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₆₁	C₂³	1	2	yes	—
206	C₂×#41×C₆₁	C₂³	1	2	yes	—
207	C₂×#41×C₆₁	C₂³	1	4	yes	—
208	C₂×#41×C₆₁	C₂³	1	4	yes	—
209	C₂×#41×C₆₁	C₂³	1	4	yes	—
210	C₂×#41×C₆₁	C₂³	1	4	yes	—
211	C₂×#41×C₆₁	C₂³	1	2	yes	—
212	C₂×#41×C₆₁	C₂³	1	4	yes	—
213	C₂×#41×C₆₁	C₂³	1	4	yes	—
214	C₂×#41×C₆₁	C₂³	1	4	yes	—
215	C₂×#41×C₆₁	C₂³	1	4	yes	—
216	C₂×#41×C₆₁	C₂³	1	4	yes	—
217	C₂×#41×C₆₁	C₂³	1	8	yes	—
218	C₂×#41×C₆₁	C₂³	1	4	yes	—
219	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
220	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
221	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
222	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
223	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
224	C₂²×D₄×C₆₁	C₂³	1	4	yes	—
225	C₂²×D₄×C₆₁	C₂³	1	4	yes	—
226	C₂²×D₄×C₆₁	C₂³	1	4	yes	—
227	C₂²×D₄×C₆₁	C₂³	1	4	yes	—
228	C₂²×D₄×C₆₁	C₂³	1	8	yes	—
229	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
230	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
231	C₂²×D₄×C₆₁	C₂³	1	4	yes	—
232	C₂²×D₄×C₆₁	C₂³	1	4	yes	—
233	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
234	C₂²×D₄×C₆₁	C₂³	1	4	yes	—
235	C₂²×D₄×C₆₁	C₂³	1	8	yes	—
236	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
237	C₂³×C₄×C₆₁	C₂³	1	4	yes	—
238	C₂³×C₄×C₆₁	C₂³	1	4	yes	—
239	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
241	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
242	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
243	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
244	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
245	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
246	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
247	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
248	#127×C₆₁	C₂³	1	1	yes	characteristic
249	#127×C₆₁	C₂³	1	2	yes	—
250	#127×C₆₁	C₂³	1	4	yes	—
251	#127×C₆₁	C₂³	1	2	yes	—
252	#127×C₆₁	C₂³	1	2	yes	—
253	#127×C₆₁	C₂³	1	4	yes	—
254	#127×C₆₁	C₂³	1	4	yes	—
255	#127×C₆₁	C₂³	1	4	yes	—
256	#127×C₆₁	C₂³	1	8	yes	—
257	#127×C₆₁	C₂³	1	2	yes	—
258	#127×C₆₁	C₂³	1	4	yes	—
259	#127×C₆₁	C₂³	1	2	yes	—
260	#127×C₆₁	C₂³	1	4	yes	—
261	#127×C₆₁	C₂³	1	8	yes	—
262	#126×C₆₁	C₂³	1	4	yes	—
263	#126×C₆₁	C₂³	1	8	yes	—
264	#126×C₆₁	C₂³	1	4	yes	—
265	#126×C₆₁	C₂³	1	4	yes	—
266	#126×C₆₁	C₂³	1	8	yes	—
267	#126×C₆₁	C₂³	1	8	yes	—
268	#126×C₆₁	C₂³	1	4	yes	—
269	#126×C₆₁	C₂³	1	4	yes	—
270	#126×C₆₁	C₂³	1	8	yes	—
271	#126×C₆₁	C₂³	1	4	yes	—
272	#126×C₆₁	C₂³	1	4	yes	—
273	#125×C₆₁	C₂³	1	4	yes	—
274	#125×C₆₁	C₂³	1	4	yes	—
275	#125×C₆₁	C₂³	1	2	yes	—
276	#125×C₆₁	C₂³	1	4	yes	—
277	#125×C₆₁	C₂³	1	8	yes	—
278	#125×C₆₁	C₂³	1	4	yes	—
279	#125×C₆₁	C₂³	1	2	yes	—
280	#125×C₆₁	C₂³	1	2	yes	—
281	#125×C₆₁	C₂³	1	4	yes	—
282	#125×C₆₁	C₂³	1	2	yes	—
283	#124×C₆₁	C₂³	1	2	yes	—
284	#124×C₆₁	C₂³	1	2	yes	—
285	#124×C₆₁	C₂³	1	4	yes	—
286	#124×C₆₁	C₂³	1	4	yes	—
287	#124×C₆₁	C₂³	1	4	yes	—
288	#124×C₆₁	C₂³	1	4	yes	—
289	#124×C₆₁	C₂³	1	4	yes	—
290	#124×C₆₁	C₂³	1	8	yes	—
291	#124×C₆₁	C₂³	1	4	yes	—
292	#124×C₆₁	C₂³	1	4	yes	—
293	#124×C₆₁	C₂³	1	2	yes	—
294	#124×C₆₁	C₂³	1	4	yes	—
295	#124×C₆₁	C₂³	1	8	yes	—
296	#124×C₆₁	C₂³	1	8	yes	—
297	#124×C₆₁	C₂³	1	2	yes	—
298	#124×C₆₁	C₂³	1	4	yes	—
299	#123×C₆₁	C₂³	1	4	yes	—
300	#123×C₆₁	C₂³	1	8	yes	—
301	#123×C₆₁	C₂³	1	4	yes	—
302	#123×C₆₁	C₂³	1	4	yes	—
303	#123×C₆₁	C₂³	1	4	yes	—
304	#123×C₆₁	C₂³	1	8	yes	—
305	#123×C₆₁	C₂³	1	8	yes	—
306	#123×C₆₁	C₂³	1	8	yes	—
307	#123×C₆₁	C₂³	1	8	yes	—
308	#123×C₆₁	C₂³	1	8	yes	—
309	#123×C₆₁	C₂³	1	8	yes	—
310	#123×C₆₁	C₂³	1	4	yes	—
311	#123×C₆₁	C₂³	1	4	yes	—
312	#123×C₆₁	C₂³	1	8	yes	—
313	#123×C₆₁	C₂³	1	8	yes	—
314	#123×C₆₁	C₂³	1	8	yes	—
315	#123×C₆₁	C₂³	1	8	yes	—
316	#123×C₆₁	C₂³	1	8	yes	—
317	#123×C₆₁	C₂³	1	8	yes	—
318	#123×C₆₁	C₂³	1	8	yes	—
319	#123×C₆₁	C₂³	1	8	yes	—
320	#123×C₆₁	C₂³	1	8	yes	—
321	#123×C₆₁	C₂³	1	4	yes	—
322	#123×C₆₁	C₂³	1	4	yes	—
323	#123×C₆₁	C₂³	1	8	yes	—
324	#123×C₆₁	C₂³	1	4	yes	—
325	#123×C₆₁	C₂³	1	4	yes	—
326	#123×C₆₁	C₂³	1	4	yes	—
327	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
328	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
329	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
330	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
331	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
332	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
333	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
334	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
335	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
336	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
337	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
338	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
339	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
340	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
341	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
342	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
343	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
344	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
345	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
346	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
347	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
348	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
349	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
350	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
351	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
352	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
353	#121×C₆₁	C₂³	1	2	yes	—
354	#121×C₆₁	C₂³	1	2	yes	—
355	#121×C₆₁	C₂³	1	2	yes	—
356	#121×C₆₁	C₂³	1	8	yes	—
357	#121×C₆₁	C₂³	1	8	yes	—
358	#121×C₆₁	C₂³	1	8	yes	—
359	#121×C₆₁	C₂³	1	8	yes	—
360	#121×C₆₁	C₂³	1	4	yes	—
361	#121×C₆₁	C₂³	1	4	yes	—
362	#121×C₆₁	C₂³	1	8	yes	—
363	#121×C₆₁	C₂³	1	4	yes	—
364	#121×C₆₁	C₂³	1	4	yes	—
365	#121×C₆₁	C₂³	1	4	yes	—
366	#121×C₆₁	C₂³	1	2	yes	—
367	#121×C₆₁	C₂³	1	4	yes	—
368	#121×C₆₁	C₂³	1	2	yes	—
369	#121×C₆₁	C₂³	1	4	yes	—
370	#121×C₆₁	C₂³	1	4	yes	—
371	#121×C₆₁	C₂³	1	8	yes	—
372	#121×C₆₁	C₂³	1	8	yes	—
373	#121×C₆₁	C₂³	1	8	yes	—
374	#121×C₆₁	C₂³	1	8	yes	—
375	#121×C₆₁	C₂³	1	8	yes	—
376	#121×C₆₁	C₂³	1	8	yes	—
377	#121×C₆₁	C₂³	1	8	yes	—
378	#121×C₆₁	C₂³	1	8	yes	—
379	#121×C₆₁	C₂³	1	2	yes	—
380	#121×C₆₁	C₂³	1	2	yes	—
381	#121×C₆₁	C₂³	1	4	yes	—
382	#121×C₆₁	C₂³	1	8	yes	—
383	#121×C₆₁	C₂³	1	4	yes	—
384	#121×C₆₁	C₂³	1	4	yes	—
385	#121×C₆₁	C₂³	1	8	yes	—
386	#121×C₆₁	C₂³	1	4	yes	—
387	#121×C₆₁	C₂³	1	8	yes	—
388	#121×C₆₁	C₂³	1	8	yes	—
389	#121×C₆₁	C₂³	1	4	yes	—
390	#121×C₆₁	C₂³	1	2	yes	—
391	#121×C₆₁	C₂³	1	8	yes	—
392	#121×C₆₁	C₂³	1	8	yes	—
393	#121×C₆₁	C₂³	1	8	yes	—
394	#121×C₆₁	C₂³	1	8	yes	—
395	#121×C₆₁	C₂³	1	8	yes	—
396	#121×C₆₁	C₂³	1	8	yes	—
397	#121×C₆₁	C₂³	1	8	yes	—
398	#121×C₆₁	C₂³	1	8	yes	—
399	#121×C₆₁	C₂³	1	2	yes	—
400	#121×C₆₁	C₂³	1	2	yes	—
401	#121×C₆₁	C₂³	1	4	yes	—
402	#121×C₆₁	C₂³	1	4	yes	—
403	#121×C₆₁	C₂³	1	8	yes	—
404	#121×C₆₁	C₂³	1	4	yes	—
405	#121×C₆₁	C₂³	1	2	yes	—
406	#121×C₆₁	C₂³	1	4	yes	—
407	#120×C₆₁	C₂³	1	8	yes	—
408	#120×C₆₁	C₂³	1	8	yes	—
409	#120×C₆₁	C₂³	1	4	yes	—
410	#120×C₆₁	C₂³	1	4	yes	—
411	#120×C₆₁	C₂³	1	4	yes	—
412	#120×C₆₁	C₂³	1	8	yes	—
413	#120×C₆₁	C₂³	1	8	yes	—
414	#120×C₆₁	C₂³	1	8	yes	—
415	#120×C₆₁	C₂³	1	8	yes	—
416	#120×C₆₁	C₂³	1	8	yes	—
417	#120×C₆₁	C₂³	1	8	yes	—
418	#120×C₆₁	C₂³	1	8	yes	—
419	#120×C₆₁	C₂³	1	4	yes	—
420	#120×C₆₁	C₂³	1	8	yes	—
421	#120×C₆₁	C₂³	1	8	yes	—
422	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
423	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
424	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
425	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
426	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
427	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
428	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
429	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
430	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
431	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
432	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
433	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
434	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
435	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
436	C₄×D₄×C₆₁	C₂³	1	2	yes	—
437	C₄×D₄×C₆₁	C₂³	1	2	yes	—
438	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
439	C₄×D₄×C₆₁	C₂³	1	8	yes	—
440	C₄×D₄×C₆₁	C₂³	1	4	yes	—
441	C₄×D₄×C₆₁	C₂³	1	8	yes	—
442	C₄×D₄×C₆₁	C₂³	1	4	yes	—
443	C₄×D₄×C₆₁	C₂³	1	4	yes	—
444	C₄×D₄×C₆₁	C₂³	1	4	yes	—
445	C₄×D₄×C₆₁	C₂³	1	4	yes	—
446	C₄×D₄×C₆₁	C₂³	1	4	yes	—
447	C₄×D₄×C₆₁	C₂³	1	4	yes	—
448	C₄×D₄×C₆₁	C₂³	1	8	yes	—
449	C₄×D₄×C₆₁	C₂³	1	4	yes	—
450	C₄×D₄×C₆₁	C₂³	1	4	yes	—
451	C₄×D₄×C₆₁	C₂³	1	8	yes	—
452	C₄×D₄×C₆₁	C₂³	1	8	yes	—
453	C₄×D₄×C₆₁	C₂³	1	4	yes	—
454	C₄×D₄×C₆₁	C₂³	1	8	yes	—
455	C₄×D₄×C₆₁	C₂³	1	8	yes	—
456	C₄×D₄×C₆₁	C₂³	1	8	yes	—
457	C₄×D₄×C₆₁	C₂³	1	2	yes	—
458	C₄×D₄×C₆₁	C₂³	1	2	yes	—
459	C₄×D₄×C₆₁	C₂³	1	8	yes	—
460	C₄×D₄×C₆₁	C₂³	1	8	yes	—
461	C₄×D₄×C₆₁	C₂³	1	2	yes	—
462	C₄×D₄×C₆₁	C₂³	1	4	yes	—
463	C₄×D₄×C₆₁	C₂³	1	2	yes	—
464	C₄×D₄×C₆₁	C₂³	1	4	yes	—
465	C₄×D₄×C₆₁	C₂³	1	4	yes	—
466	C₄×D₄×C₆₁	C₂³	1	4	yes	—
467	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
468	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
469	C₄×D₄×C₆₁	C₂³	1	2	yes	—
470	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
471	C₄×D₄×C₆₁	C₂³	1	2	yes	—
472	C₄×D₄×C₆₁	C₂³	1	4	yes	—
473	C₄×D₄×C₆₁	C₂³	1	4	yes	—
474	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
475	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
476	C₄×D₄×C₆₁	C₂³	1	4	yes	—
477	C₄×D₄×C₆₁	C₂³	1	4	yes	—
478	C₄×D₄×C₆₁	C₂³	1	2	yes	—
479	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
480	C₄×D₄×C₆₁	C₂³	1	2	yes	—
481	C₄×D₄×C₆₁	C₂³	1	2	yes	—
482	C₄×D₄×C₆₁	C₂³	1	4	yes	—
483	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
484	#117×C₆₁	C₂³	1	2	yes	—
485	#117×C₆₁	C₂³	1	4	yes	—
486	#117×C₆₁	C₂³	1	4	yes	—
487	#117×C₆₁	C₂³	1	1	yes	characteristic
488	#117×C₆₁	C₂³	1	2	yes	—
489	#117×C₆₁	C₂³	1	4	yes	—
490	#117×C₆₁	C₂³	1	8	yes	—
491	#117×C₆₁	C₂³	1	4	yes	—
492	#117×C₆₁	C₂³	1	1	yes	characteristic
493	#117×C₆₁	C₂³	1	2	yes	—
494	#117×C₆₁	C₂³	1	4	yes	—
495	#117×C₆₁	C₂³	1	8	yes	—
496	#117×C₆₁	C₂³	1	4	yes	—
497	#117×C₆₁	C₂³	1	2	yes	—
498	#117×C₆₁	C₂³	1	2	yes	—
499	#117×C₆₁	C₂³	1	2	yes	—
500	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
501	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
502	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
503	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
504	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
505	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
506	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
507	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
508	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
509	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
510	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
511	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
512	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
513	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
514	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
515	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
516	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
517	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
518	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
519	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
520	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
521	C₂×C₄²×C₆₁	C₂³	1	4	yes	—
522	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
523	C₂⁴×C₆₁	C₂⁴	1	4	yes	—
524	C₂⁴×C₆₁	C₂⁴	1	8	yes	—
525	C₂⁴×C₆₁	C₂⁴	1	4	yes	—
526	#41×C₆₁	—	2	4	no	—
527	#41×C₆₁	—	2	8	no	—
528	#41×C₆₁	—	2	4	no	—
529	#41×C₆₁	—	4	8	no	—
530	#41×C₆₁	—	4	8	no	—
531	#41×C₆₁	—	4	8	no	—
532	#41×C₆₁	—	4	8	no	—
533	#41×C₆₁	—	4	8	no	—
534	#41×C₆₁	—	4	8	no	—
535	#41×C₆₁	—	4	4	no	—
536	#41×C₆₁	—	4	4	no	—
537	#41×C₆₁	—	4	4	no	—
538	#41×C₆₁	—	4	8	no	—
539	#41×C₆₁	—	4	8	no	—
540	#41×C₆₁	—	4	8	no	—
541	#41×C₆₁	—	8	8	no	—
542	#41×C₆₁	—	8	4	no	—
543	C₂×Q₈×C₆₁	—	2	4	no	—
544	C₂×Q₈×C₆₁	—	4	4	no	—
545	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
546	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
548	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
549	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
550	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
551	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
552	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
553	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
554	C₂×D₄×C₆₁	—	2	8	no	—
555	C₂×D₄×C₆₁	—	4	2	no	—
556	C₂×D₄×C₆₁	—	4	4	no	—
557	C₂×D₄×C₆₁	—	4	8	no	—
558	C₂×D₄×C₆₁	—	4	4	no	—
559	C₂×D₄×C₆₁	—	4	4	no	—
560	C₂×D₄×C₆₁	—	4	8	no	—
561	C₂×D₄×C₆₁	—	4	8	no	—
562	C₂×D₄×C₆₁	—	4	8	no	—
563	C₂×D₄×C₆₁	—	4	8	no	—
564	C₂×D₄×C₆₁	—	4	16	no	—
565	C₂×D₄×C₆₁	—	8	2	no	—
566	C₂×D₄×C₆₁	—	8	4	no	—
567	C₂×D₄×C₆₁	—	8	4	no	—
568	C₂×D₄×C₆₁	—	8	8	no	—
569	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
570	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
571	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
572	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
573	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
574	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
575	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
576	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
577	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
578	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
579	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
580	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
581	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
582	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
583	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
584	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
585	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
586	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
587	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
588	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
589	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
590	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
591	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
592	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
593	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
594	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
595	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
596	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
597	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
598	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
599	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
600	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
601	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
602	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
603	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
604	C₂²×C₄×C₆₁	—	2	8	no	—
605	C₂²×C₄×C₆₁	—	4	8	no	—
606	C₂²×C₄×C₆₁	—	4	8	no	—
607	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
609	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
610	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
611	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
612	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
613	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
614	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
615	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
616	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
617	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
618	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
619	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
621	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
622	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
623	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
624	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
625	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
626	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
627	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
628	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
629	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
630	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
631	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
632	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
633	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
634	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
635	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
636	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
637	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
638	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
639	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
640	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
641	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
642	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
643	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
644	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
645	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
646	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
647	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
648	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
649	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
650	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
651	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
652	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
653	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
654	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
655	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
656	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
657	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
658	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
659	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
660	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
661	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
662	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
663	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
664	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
665	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
666	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
667	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
668	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
669	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
670	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
671	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
672	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
673	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
674	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
675	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
676	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
677	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
678	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
679	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
680	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
681	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
682	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
683	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
684	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
685	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
686	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
687	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
688	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
689	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
690	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
691	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
692	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
693	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
694	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
695	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
696	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
697	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
698	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
699	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
700	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
701	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
702	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
703	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
704	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
705	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
706	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
707	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
708	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
709	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
710	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
711	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
712	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
713	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
714	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
715	C₄²×C₆₁	C₂⁴	1	2	yes	—
716	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
717	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
718	C₄²×C₆₁	C₂⁴	1	4	yes	—
719	C₄²×C₆₁	C₂⁴	1	4	yes	—
720	C₄²×C₆₁	C₂⁴	1	2	yes	—
721	C₄²×C₆₁	C₂⁴	1	4	yes	—
722	C₄²×C₆₁	C₂⁴	1	2	yes	—
723	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
724	C₄²×C₆₁	C₂⁴	1	2	yes	—
725	C₄²×C₆₁	C₂⁴	1	4	yes	—
726	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
727	C₄²×C₆₁	C₂⁴	1	2	yes	—
728	C₄²×C₆₁	C₂⁴	1	4	yes	—
729	C₄²×C₆₁	C₂⁴	1	2	yes	—
730	C₄²×C₆₁	C₂⁴	1	8	yes	—
731	C₂³×C₆₁	—	2	4	no	—
732	C₂³×C₆₁	—	2	8	no	—
733	C₂³×C₆₁	—	4	4	no	—
734	C₂³×C₆₁	—	4	2	no	—
735	C₂³×C₆₁	—	4	4	no	—
736	C₂³×C₆₁	—	4	4	no	—
737	C₂³×C₆₁	—	4	2	no	—
738	C₂³×C₆₁	—	4	4	no	—
739	C₂³×C₆₁	—	4	4	no	—
740	C₂³×C₆₁	—	4	8	no	—
741	C₂³×C₆₁	—	4	8	no	—
742	C₂³×C₆₁	—	4	8	no	—
743	C₂³×C₆₁	C₂⁵	1	2	yes	—
744	C₂³×C₆₁	C₂⁵	1	2	yes	—
745	C₂³×C₆₁	C₂⁵	1	4	yes	—
746	C₂³×C₆₁	C₂⁵	1	2	yes	—
747	C₂³×C₆₁	C₂⁵	1	8	yes	—
748	C₂³×C₆₁	C₂⁵	1	2	yes	—
749	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
750	Q₈×C₆₁	—	2	4	no	—
751	Q₈×C₆₁	—	2	4	no	—
752	Q₈×C₆₁	—	2	2	no	—
753	Q₈×C₆₁	—	2	4	no	—
754	Q₈×C₆₁	—	2	2	no	—
755	Q₈×C₆₁	—	2	4	no	—
756	Q₈×C₆₁	—	4	4	no	—
757	Q₈×C₆₁	—	4	2	no	—
758	Q₈×C₆₁	—	4	4	no	—
759	D₄×C₆₁	—	2	4	no	—
760	D₄×C₆₁	—	2	8	no	—
761	D₄×C₆₁	—	2	4	no	—
762	D₄×C₆₁	—	2	8	no	—
763	D₄×C₆₁	—	2	8	no	—
764	D₄×C₆₁	—	2	2	no	—
765	D₄×C₆₁	—	2	4	no	—
766	D₄×C₆₁	—	2	2	no	—
767	D₄×C₆₁	—	2	2	no	—
768	D₄×C₆₁	—	2	4	no	—
769	D₄×C₆₁	—	2	8	no	—
770	D₄×C₆₁	—	2	2	no	—
771	D₄×C₆₁	—	4	8	no	—
772	D₄×C₆₁	—	4	8	no	—
773	D₄×C₆₁	—	4	4	no	—
774	D₄×C₆₁	—	4	8	no	—
775	D₄×C₆₁	—	4	2	no	—
776	D₄×C₆₁	—	4	4	no	—
777	D₄×C₆₁	—	4	4	no	—
778	D₄×C₆₁	—	4	4	no	—
779	D₄×C₆₁	—	4	4	no	—
780	D₄×C₆₁	—	4	8	no	—
781	D₄×C₆₁	—	4	8	no	—
782	D₄×C₆₁	—	4	4	no	—
783	D₄×C₆₁	—	4	2	no	—
784	D₄×C₆₁	—	4	4	no	—
785	D₄×C₆₁	—	4	4	no	—
786	D₄×C₆₁	—	4	8	no	—
787	D₄×C₆₁	—	4	8	no	—
788	D₄×C₆₁	—	4	8	no	—
789	D₄×C₆₁	—	4	8	no	—
790	D₄×C₆₁	—	4	4	no	—
791	D₄×C₆₁	—	4	8	no	—
792	D₄×C₆₁	—	4	4	no	—
793	D₄×C₆₁	—	4	4	no	—
794	C₂×C₄×C₆₁	—	2	4	no	—
795	C₂×C₄×C₆₁	—	2	4	no	—
796	C₂×C₄×C₆₁	—	2	4	no	—
797	C₂×C₄×C₆₁	—	2	4	no	—
798	C₂×C₄×C₆₁	—	2	4	no	—
799	C₂×C₄×C₆₁	—	2	4	no	—
800	C₂×C₄×C₆₁	—	2	4	no	—
801	C₂×C₄×C₆₁	—	2	8	no	—
802	C₂×C₄×C₆₁	—	2	4	no	—
803	C₂×C₄×C₆₁	—	2	2	no	—
804	C₂×C₄×C₆₁	—	2	4	no	—
805	C₂×C₄×C₆₁	—	2	4	no	—
806	C₂×C₄×C₆₁	—	4	4	no	—
807	C₂×C₄×C₆₁	—	4	4	no	—
808	C₂×C₄×C₆₁	—	4	4	no	—
809	C₂×C₄×C₆₁	—	4	8	no	—
810	C₂×C₄×C₆₁	—	4	8	no	—
811	C₂×C₄×C₆₁	—	4	8	no	—
812	C₂×C₄×C₆₁	—	4	1	no	—
813	C₂×C₄×C₆₁	—	4	2	no	—
814	C₂×C₄×C₆₁	—	4	2	no	—
815	C₂×C₄×C₆₁	—	4	8	no	—
816	C₂×C₄×C₆₁	—	4	8	no	—
817	C₂×C₄×C₆₁	—	4	4	no	—
818	C₂×C₄×C₆₁	—	4	8	no	—
819	C₂×C₄×C₆₁	—	4	4	no	—
820	C₂×C₄×C₆₁	—	4	2	no	—
821	C₂×C₄×C₆₁	H(5,𝔽₂)	1	4	yes	—
822	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
823	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
824	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
825	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
826	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
827	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
828	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
829	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
830	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
831	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
832	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
833	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
834	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
835	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
836	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
837	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
838	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
839	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
840	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
841	#62955	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
842	C₂²×C₆₁	—	2	1	no	—
843	C₂²×C₆₁	—	2	1	no	—
844	C₂²×C₆₁	—	2	2	no	—
845	C₂²×C₆₁	—	2	2	no	—
846	C₂²×C₆₁	—	2	2	no	—
847	C₂²×C₆₁	—	2	4	no	—
848	C₂²×C₆₁	—	2	2	no	—
849	C₂²×C₆₁	—	2	8	no	—
850	C₂²×C₆₁	—	2	2	no	—
851	C₂²×C₆₁	—	2	2	no	—
852	C₂²×C₆₁	—	2	2	no	—
853	C₂²×C₆₁	—	2	8	no	—
854	C₂²×C₆₁	—	2	2	no	—
855	C₂²×C₆₁	—	2	4	no	—
856	C₂²×C₆₁	—	2	2	no	—
857	C₂²×C₆₁	—	2	4	no	—
858	C₂²×C₆₁	—	2	2	no	—
859	C₂²×C₆₁	—	2	8	no	—
860	C₂²×C₆₁	—	2	2	no	—
861	C₂²×C₆₁	—	2	2	no	—
862	C₂²×C₆₁	—	8	4	no	—
863	C₂²×C₆₁	—	8	8	no	—
864	C₂²×C₆₁	—	8	8	no	—
865	C₂²×C₆₁	—	16	8	no	—
866	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
867	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
868	C₄×C₆₁	—	2	2	no	—
869	C₄×C₆₁	—	2	2	no	—
870	C₄×C₆₁	—	2	2	no	—
871	C₄×C₆₁	—	2	4	no	—
872	C₄×C₆₁	—	2	2	no	—
873	C₄×C₆₁	—	2	4	no	—
874	C₄×C₆₁	—	2	2	no	—
875	C₄×C₆₁	—	2	2	no	—
876	C₄×C₆₁	—	2	1	no	—
877	C₄×C₆₁	—	2	4	no	—
878	C₄×C₆₁	—	2	4	no	—
879	C₄×C₆₁	—	2	2	no	—
880	C₄×C₆₁	—	2	1	no	—
881	C₄×C₆₁	—	2	4	no	—
882	C₄×C₆₁	—	2	1	no	—
883	C₄×C₆₁	—	2	2	no	—
884	C₄×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
885	C₄×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
886	C₄×C₆₁	#585	1	2	yes	—
887	#3562	C₂×C₆₁	1	4	yes	complemented
888	#3554	C₂×C₆₁	1	2	yes	complemented
889	#3548	C₂×C₆₁	1	2	yes	complemented
890	#3546	C₂×C₆₁	1	2	yes	complemented
891	#3546	C₂×C₆₁	1	4	yes	complemented
892	#3543	C₂×C₆₁	1	4	yes	complemented
893	#3543	C₂×C₆₁	1	2	yes	complemented
894	#3542	C₂×C₆₁	1	4	yes	complemented
895	#3539	C₂×C₆₁	1	4	yes	complemented
896	#3534	C₂×C₆₁	1	8	yes	complemented
897	#3519	C₂×C₆₁	1	2	yes	complemented
898	#3517	C₂×C₆₁	1	2	yes	complemented
899	#3513	C₂×C₆₁	1	4	yes	complemented
900	#3508	C₂×C₆₁	1	1	yes	characteristic, complemented
901	#3508	C₂×C₆₁	1	2	yes	complemented
902	#3507	C₂×C₆₁	1	1	yes	characteristic, complemented
903	#3506	C₂×C₆₁	1	2	yes	complemented
904	#3498	C₂×C₆₁	1	1	yes	characteristic, complemented
905	#3494	C₂×C₆₁	1	2	yes	complemented
906	#3488	C₂×C₆₁	1	2	yes	complemented
907	#3485	C₂×C₆₁	1	2	yes	complemented
908	#3475	C₂×C₆₁	1	1	yes	characteristic, complemented
909	D₄×#41	C₂×C₆₁	1	1	yes	characteristic, complemented
910	C₂×#550	C₂×C₆₁	1	1	yes	characteristic, complemented
911	#3461	C₂×C₆₁	1	1	yes	characteristic, complemented
912	#3449	C₂×C₆₁	1	2	yes	complemented
913	C₂×C₆₁	—	2	2	no	—
914	C₂×C₆₁	—	4	2	no	—
915	C₂×C₆₁	—	4	2	no	—
916	C₂×C₆₁	—	4	2	no	—
917	C₂×C₆₁	—	4	8	no	—
918	C₂×C₆₁	—	4	4	no	—
919	C₂×C₆₁	—	4	2	no	—
920	C₂×C₆₁	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
921	C₂×C₆₁	C₂×#585	1	1	yes	characteristic
922	C₂×C₆₁	H(7,𝔽₂)	1	1	yes	characteristic
923	C₂×H(5,𝔽₂)	C₂²×C₆₁	1	2	yes	complemented
924	C₂²×#41	C₂²×C₆₁	1	2	yes	complemented
925	C₂²×#41	C₂²×C₆₁	1	2	yes	complemented
926	#562	C₂²×C₆₁	1	8	yes	complemented
927	#562	C₂²×C₆₁	1	8	yes	complemented
928	#560	C₂²×C₆₁	1	8	yes	complemented
929	#560	C₂²×C₆₁	1	8	yes	complemented
930	#560	C₂²×C₆₁	1	8	yes	complemented
931	#560	C₂²×C₆₁	1	8	yes	complemented
932	#559	C₂²×C₆₁	1	4	yes	complemented
933	#559	C₂²×C₆₁	1	4	yes	complemented
934	#559	C₂²×C₆₁	1	2	yes	complemented
935	#559	C₂²×C₆₁	1	2	yes	complemented
936	#559	C₂²×C₆₁	1	2	yes	complemented
937	#557	C₂²×C₆₁	1	2	yes	complemented
938	#556	C₂²×C₆₁	1	1	yes	characteristic, complemented
939	#556	C₂²×C₆₁	1	2	yes	complemented
940	#556	C₂²×C₆₁	1	4	yes	complemented
941	#555	C₂²×C₆₁	1	1	yes	characteristic, complemented
942	#555	C₂²×C₆₁	1	4	yes	complemented
943	#554	C₂²×C₆₁	1	1	yes	characteristic, complemented
944	#554	C₂²×C₆₁	1	2	yes	complemented
945	#554	C₂²×C₆₁	1	4	yes	complemented
946	#553	C₂²×C₆₁	1	2	yes	complemented
947	#553	C₂²×C₆₁	1	4	yes	complemented
948	#553	C₂²×C₆₁	1	4	yes	complemented
949	#553	C₂²×C₆₁	1	8	yes	complemented
950	#553	C₂²×C₆₁	1	4	yes	complemented
951	#553	C₂²×C₆₁	1	8	yes	complemented
952	#553	C₂²×C₆₁	1	8	yes	complemented
953	#552	C₂²×C₆₁	1	2	yes	complemented
954	#552	C₂²×C₆₁	1	2	yes	complemented
955	#552	C₂²×C₆₁	1	4	yes	complemented
956	#551	C₂²×C₆₁	1	4	yes	complemented
957	#551	C₂²×C₆₁	1	8	yes	complemented
958	#551	C₂²×C₆₁	1	8	yes	complemented
959	#550	C₂²×C₆₁	1	2	yes	complemented
960	#550	C₂²×C₆₁	1	2	yes	complemented
961	#550	C₂²×C₆₁	1	4	yes	complemented
962	#550	C₂²×C₆₁	1	2	yes	complemented
963	#550	C₂²×C₆₁	1	2	yes	complemented
964	#550	C₂²×C₆₁	1	4	yes	complemented
965	#550	C₂²×C₆₁	1	1	yes	characteristic, complemented
966	#550	C₂²×C₆₁	1	4	yes	complemented
967	#550	C₂²×C₆₁	1	2	yes	complemented
968	#550	C₂²×C₆₁	1	2	yes	complemented
969	#550	C₂²×C₆₁	1	2	yes	complemented
970	#550	C₂²×C₆₁	1	4	yes	complemented
971	#550	C₂²×C₆₁	1	2	yes	complemented
972	#550	C₂²×C₆₁	1	4	yes	complemented
973	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
974	#548	C₂²×C₆₁	1	2	yes	complemented
975	#548	C₂²×C₆₁	1	4	yes	complemented
976	#547	C₂²×C₆₁	1	2	yes	complemented
977	#547	C₂²×C₆₁	1	1	yes	characteristic, complemented
978	#547	C₂²×C₆₁	1	1	yes	characteristic, complemented
979	#547	C₂²×C₆₁	1	4	yes	complemented
980	#547	C₂²×C₆₁	1	4	yes	complemented
981	#547	C₂²×C₆₁	1	4	yes	complemented
982	#547	C₂²×C₆₁	1	4	yes	complemented
983	#547	C₂²×C₆₁	1	4	yes	complemented
984	#546	C₂²×C₆₁	1	4	yes	complemented
985	#546	C₂²×C₆₁	1	2	yes	complemented
986	#546	C₂²×C₆₁	1	2	yes	complemented
987	#546	C₂²×C₆₁	1	4	yes	complemented
988	#546	C₂²×C₆₁	1	4	yes	complemented
989	#546	C₂²×C₆₁	1	4	yes	complemented
990	#546	C₂²×C₆₁	1	4	yes	complemented
991	#546	C₂²×C₆₁	1	4	yes	complemented
992	#546	C₂²×C₆₁	1	8	yes	complemented
993	#546	C₂²×C₆₁	1	8	yes	complemented
994	#546	C₂²×C₆₁	1	4	yes	complemented
995	#546	C₂²×C₆₁	1	4	yes	complemented
996	#546	C₂²×C₆₁	1	8	yes	complemented
997	#546	C₂²×C₆₁	1	4	yes	complemented
998	#546	C₂²×C₆₁	1	8	yes	complemented
999	D₄²	C₂²×C₆₁	1	1	yes	characteristic, complemented
1000	D₄²	C₂²×C₆₁	1	2	yes	complemented
1001	D₄²	C₂²×C₆₁	1	8	yes	complemented
1002	D₄²	C₂²×C₆₁	1	4	yes	complemented
1003	D₄²	C₂²×C₆₁	1	4	yes	complemented
1004	D₄²	C₂²×C₆₁	1	2	yes	complemented
1005	D₄²	C₂²×C₆₁	1	4	yes	complemented
1006	D₄²	C₂²×C₆₁	1	2	yes	complemented
1007	D₄²	C₂²×C₆₁	1	4	yes	complemented
1008	#544	C₂²×C₆₁	1	1	yes	characteristic, complemented
1009	#542	C₂²×C₆₁	1	2	yes	complemented
1010	#542	C₂²×C₆₁	1	2	yes	complemented
1011	#542	C₂²×C₆₁	1	4	yes	complemented
1012	#542	C₂²×C₆₁	1	4	yes	complemented
1013	#541	C₂²×C₆₁	1	2	yes	complemented
1014	#541	C₂²×C₆₁	1	2	yes	complemented
1015	#540	C₂²×C₆₁	1	4	yes	complemented
1016	#540	C₂²×C₆₁	1	8	yes	complemented
1017	#540	C₂²×C₆₁	1	4	yes	complemented
1018	#540	C₂²×C₆₁	1	4	yes	complemented
1019	#540	C₂²×C₆₁	1	8	yes	complemented
1020	#540	C₂²×C₆₁	1	4	yes	complemented
1021	#540	C₂²×C₆₁	1	4	yes	complemented
1022	#540	C₂²×C₆₁	1	8	yes	complemented
1023	#539	C₂²×C₆₁	1	4	yes	complemented
1024	#539	C₂²×C₆₁	1	4	yes	complemented
1025	#539	C₂²×C₆₁	1	8	yes	complemented
1026	#539	C₂²×C₆₁	1	8	yes	complemented
1027	#538	C₂²×C₆₁	1	8	yes	complemented
1028	#538	C₂²×C₆₁	1	8	yes	complemented
1029	#538	C₂²×C₆₁	1	8	yes	complemented
1030	#538	C₂²×C₆₁	1	8	yes	complemented
1031	#537	C₂²×C₆₁	1	1	yes	characteristic
1032	#537	C₂²×C₆₁	1	4	yes	complemented
1033	#537	C₂²×C₆₁	1	4	yes	complemented
1034	#537	C₂²×C₆₁	1	4	yes	complemented
1035	#537	C₂²×C₆₁	1	8	yes	complemented
1036	#536	C₂²×C₆₁	1	1	yes	characteristic, complemented
1037	#536	C₂²×C₆₁	1	2	yes	complemented
1038	#536	C₂²×C₆₁	1	4	yes	complemented
1039	#536	C₂²×C₆₁	1	1	yes	characteristic, complemented
1040	#535	C₂²×C₆₁	1	2	yes	complemented
1041	#535	C₂²×C₆₁	1	2	yes	complemented
1042	#535	C₂²×C₆₁	1	4	yes	complemented
1043	#535	C₂²×C₆₁	1	4	yes	complemented
1044	#535	C₂²×C₆₁	1	4	yes	complemented
1045	#535	C₂²×C₆₁	1	4	yes	complemented
1046	#535	C₂²×C₆₁	1	4	yes	complemented
1047	#535	C₂²×C₆₁	1	8	yes	complemented
1048	#534	C₂²×C₆₁	1	8	yes	complemented
1049	#534	C₂²×C₆₁	1	8	yes	complemented
1050	#534	C₂²×C₆₁	1	8	yes	complemented
1051	#533	C₂²×C₆₁	1	2	yes	complemented
1052	#533	C₂²×C₆₁	1	2	yes	complemented
1053	#533	C₂²×C₆₁	1	1	yes	characteristic, complemented
1054	#532	C₂²×C₆₁	1	1	yes	characteristic
1055	#532	C₂²×C₆₁	1	4	yes	complemented
1056	#532	C₂²×C₆₁	1	4	yes	complemented
1057	#532	C₂²×C₆₁	1	2	yes	complemented
1058	#532	C₂²×C₆₁	1	4	yes	complemented
1059	#532	C₂²×C₆₁	1	2	yes	complemented
1060	#532	C₂²×C₆₁	1	2	yes	complemented
1061	#532	C₂²×C₆₁	1	2	yes	complemented
1062	C₂×#127	C₂²×C₆₁	1	1	yes	characteristic, complemented
1063	C₂×#127	C₂²×C₆₁	1	2	yes	complemented
1064	C₂×#127	C₂²×C₆₁	1	2	yes	complemented
1065	#529	C₂²×C₆₁	1	4	yes	complemented
1066	#529	C₂²×C₆₁	1	2	yes	complemented
1067	#529	C₂²×C₆₁	1	2	yes	complemented
1068	#529	C₂²×C₆₁	1	2	yes	complemented
1069	#529	C₂²×C₆₁	1	4	yes	complemented
1070	#529	C₂²×C₆₁	1	4	yes	complemented
1071	#529	C₂²×C₆₁	1	4	yes	complemented
1072	#525	C₂²×C₆₁	1	4	yes	complemented
1073	#525	C₂²×C₆₁	1	8	yes	complemented
1074	#525	C₂²×C₆₁	1	4	yes	complemented
1075	#525	C₂²×C₆₁	1	2	yes	complemented
1076	#525	C₂²×C₆₁	1	4	yes	complemented
1077	#525	C₂²×C₆₁	1	2	yes	complemented
1078	#525	C₂²×C₆₁	1	4	yes	complemented
1079	C₂×#123	C₂²×C₆₁	1	8	yes	complemented
1080	C₂×#121	C₂²×C₆₁	1	2	yes	complemented
1081	C₂×#121	C₂²×C₆₁	1	4	yes	complemented
1082	C₂×#121	C₂²×C₆₁	1	4	yes	complemented
1083	#520	C₂²×C₆₁	1	2	yes	complemented
1084	#520	C₂²×C₆₁	1	4	yes	complemented
1085	#518	C₂²×C₆₁	1	2	yes	complemented
1086	#518	C₂²×C₆₁	1	4	yes	complemented
1087	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
1088	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
1089	C₄×#41	C₂²×C₆₁	1	2	yes	complemented
1090	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1091	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic, complemented
1092	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	complemented
1093	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	complemented
1094	C₂×#117	C₂²×C₆₁	1	2	yes	complemented
1095	C₆₁	#62955	1	1	yes	characteristic, direct product factor, Sylow
1096	H(5,𝔽₂)	—	4	8	no	—
1097	C₂×#41	—	4	8	no	—
1098	C₂×#41	—	4	8	no	—
1099	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1100	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1101	C₂×#41	C₂³×C₆₁	1	2	yes	—
1102	C₂×#41	C₂³×C₆₁	1	2	yes	—
1103	C₂×#41	C₂³×C₆₁	1	4	yes	—
1104	C₂×#41	C₂³×C₆₁	1	4	yes	—
1105	C₂×#41	C₂³×C₆₁	1	4	yes	—
1106	C₂×#41	C₂³×C₆₁	1	4	yes	—
1107	C₂×#41	C₂³×C₆₁	1	4	yes	—
1108	C₂×#41	C₂³×C₆₁	1	2	yes	—
1109	C₂×#41	C₂³×C₆₁	1	4	yes	—
1110	C₂×#41	C₂³×C₆₁	1	2	yes	—
1111	C₂×#41	C₂³×C₆₁	1	4	yes	—
1112	C₂×#41	C₂³×C₆₁	1	4	yes	—
1113	C₂×#41	C₂³×C₆₁	1	4	yes	—
1114	C₂×#41	C₂³×C₆₁	1	8	yes	—
1115	C₂×#41	C₂³×C₆₁	1	4	yes	—
1116	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1117	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
1118	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
1119	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1120	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
1121	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
1122	C₂²×D₄	C₂³×C₆₁	1	4	yes	—
1123	C₂²×D₄	C₂³×C₆₁	1	4	yes	—
1124	C₂²×D₄	C₂³×C₆₁	1	4	yes	—
1125	C₂²×D₄	C₂³×C₆₁	1	8	yes	—
1126	C₂²×D₄	C₂³×C₆₁	1	4	yes	—
1127	C₂²×D₄	C₂³×C₆₁	1	4	yes	—
1128	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
1129	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
1130	C₂²×D₄	C₂³×C₆₁	1	4	yes	—
1131	C₂²×D₄	C₂³×C₆₁	1	8	yes	—
1132	C₂²×D₄	C₂³×C₆₁	1	4	yes	—
1133	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
1134	C₂³×C₄	C₂³×C₆₁	1	4	yes	—
1135	C₂³×C₄	C₂³×C₆₁	1	4	yes	—
1136	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1137	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1138	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1139	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1140	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1141	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1142	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1143	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1144	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1145	#127	C₂³×C₆₁	1	1	yes	characteristic
1146	#127	C₂³×C₆₁	1	2	yes	—
1147	#127	C₂³×C₆₁	1	4	yes	—
1148	#127	C₂³×C₆₁	1	2	yes	—
1149	#127	C₂³×C₆₁	1	2	yes	—
1150	#127	C₂³×C₆₁	1	4	yes	—
1151	#127	C₂³×C₆₁	1	4	yes	—
1152	#127	C₂³×C₆₁	1	4	yes	—
1153	#127	C₂³×C₆₁	1	8	yes	—
1154	#127	C₂³×C₆₁	1	2	yes	—
1155	#127	C₂³×C₆₁	1	4	yes	—
1156	#127	C₂³×C₆₁	1	2	yes	—
1157	#127	C₂³×C₆₁	1	4	yes	—
1158	#127	C₂³×C₆₁	1	8	yes	—
1159	#126	C₂³×C₆₁	1	4	yes	—
1160	#126	C₂³×C₆₁	1	4	yes	—
1161	#126	C₂³×C₆₁	1	4	yes	—
1162	#126	C₂³×C₆₁	1	8	yes	—
1163	#126	C₂³×C₆₁	1	8	yes	—
1164	#126	C₂³×C₆₁	1	4	yes	—
1165	#126	C₂³×C₆₁	1	4	yes	—
1166	#126	C₂³×C₆₁	1	4	yes	—
1167	#126	C₂³×C₆₁	1	4	yes	—
1168	#126	C₂³×C₆₁	1	8	yes	—
1169	#126	C₂³×C₆₁	1	8	yes	—
1170	#125	C₂³×C₆₁	1	2	yes	—
1171	#125	C₂³×C₆₁	1	4	yes	—
1172	#125	C₂³×C₆₁	1	4	yes	—
1173	#125	C₂³×C₆₁	1	2	yes	—
1174	#125	C₂³×C₆₁	1	4	yes	—
1175	#125	C₂³×C₆₁	1	2	yes	—
1176	#125	C₂³×C₆₁	1	4	yes	—
1177	#125	C₂³×C₆₁	1	4	yes	—
1178	#125	C₂³×C₆₁	1	2	yes	—
1179	#125	C₂³×C₆₁	1	8	yes	—
1180	#124	C₂³×C₆₁	1	2	yes	—
1181	#124	C₂³×C₆₁	1	4	yes	—
1182	#124	C₂³×C₆₁	1	4	yes	—
1183	#124	C₂³×C₆₁	1	2	yes	—
1184	#124	C₂³×C₆₁	1	4	yes	—
1185	#124	C₂³×C₆₁	1	2	yes	—
1186	#124	C₂³×C₆₁	1	4	yes	—
1187	#124	C₂³×C₆₁	1	2	yes	—
1188	#124	C₂³×C₆₁	1	4	yes	—
1189	#124	C₂³×C₆₁	1	4	yes	—
1190	#124	C₂³×C₆₁	1	4	yes	—
1191	#124	C₂³×C₆₁	1	4	yes	—
1192	#124	C₂³×C₆₁	1	8	yes	—
1193	#124	C₂³×C₆₁	1	4	yes	—
1194	#124	C₂³×C₆₁	1	8	yes	—
1195	#124	C₂³×C₆₁	1	8	yes	—
1196	#123	C₂³×C₆₁	1	4	yes	—
1197	#123	C₂³×C₆₁	1	4	yes	—
1198	#123	C₂³×C₆₁	1	4	yes	—
1199	#123	C₂³×C₆₁	1	8	yes	—
1200	#123	C₂³×C₆₁	1	8	yes	—
1201	#123	C₂³×C₆₁	1	8	yes	—
1202	#123	C₂³×C₆₁	1	8	yes	—
1203	#123	C₂³×C₆₁	1	8	yes	—
1204	#123	C₂³×C₆₁	1	4	yes	—
1205	#123	C₂³×C₆₁	1	8	yes	—
1206	#123	C₂³×C₆₁	1	8	yes	—
1207	#123	C₂³×C₆₁	1	4	yes	—
1208	#123	C₂³×C₆₁	1	8	yes	—
1209	#123	C₂³×C₆₁	1	4	yes	—
1210	#123	C₂³×C₆₁	1	4	yes	—
1211	#123	C₂³×C₆₁	1	4	yes	—
1212	#123	C₂³×C₆₁	1	4	yes	—
1213	#123	C₂³×C₆₁	1	4	yes	—
1214	#123	C₂³×C₆₁	1	8	yes	—
1215	#123	C₂³×C₆₁	1	4	yes	—
1216	#123	C₂³×C₆₁	1	8	yes	—
1217	#123	C₂³×C₆₁	1	8	yes	—
1218	#123	C₂³×C₆₁	1	8	yes	—
1219	#123	C₂³×C₆₁	1	8	yes	—
1220	#123	C₂³×C₆₁	1	8	yes	—
1221	#123	C₂³×C₆₁	1	8	yes	—
1222	#123	C₂³×C₆₁	1	8	yes	—
1223	#123	C₂³×C₆₁	1	8	yes	—
1224	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1225	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1226	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1227	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1228	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1229	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1230	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1231	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1232	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1233	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1234	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1235	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1236	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1237	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1238	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1239	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1240	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1241	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1242	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1243	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1244	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1245	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1246	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1247	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1248	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1249	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1250	#121	C₂³×C₆₁	1	2	yes	—
1251	#121	C₂³×C₆₁	1	4	yes	—
1252	#121	C₂³×C₆₁	1	2	yes	—
1253	#121	C₂³×C₆₁	1	4	yes	—
1254	#121	C₂³×C₆₁	1	4	yes	—
1255	#121	C₂³×C₆₁	1	8	yes	—
1256	#121	C₂³×C₆₁	1	4	yes	—
1257	#121	C₂³×C₆₁	1	8	yes	—
1258	#121	C₂³×C₆₁	1	8	yes	—
1259	#121	C₂³×C₆₁	1	8	yes	—
1260	#121	C₂³×C₆₁	1	8	yes	—
1261	#121	C₂³×C₆₁	1	8	yes	—
1262	#121	C₂³×C₆₁	1	4	yes	—
1263	#121	C₂³×C₆₁	1	4	yes	—
1264	#121	C₂³×C₆₁	1	2	yes	—
1265	#121	C₂³×C₆₁	1	8	yes	—
1266	#121	C₂³×C₆₁	1	2	yes	—
1267	#121	C₂³×C₆₁	1	4	yes	—
1268	#121	C₂³×C₆₁	1	4	yes	—
1269	#121	C₂³×C₆₁	1	8	yes	—
1270	#121	C₂³×C₆₁	1	2	yes	—
1271	#121	C₂³×C₆₁	1	4	yes	—
1272	#121	C₂³×C₆₁	1	4	yes	—
1273	#121	C₂³×C₆₁	1	2	yes	—
1274	#121	C₂³×C₆₁	1	4	yes	—
1275	#121	C₂³×C₆₁	1	4	yes	—
1276	#121	C₂³×C₆₁	1	2	yes	—
1277	#121	C₂³×C₆₁	1	2	yes	—
1278	#121	C₂³×C₆₁	1	2	yes	—
1279	#121	C₂³×C₆₁	1	8	yes	—
1280	#121	C₂³×C₆₁	1	8	yes	—
1281	#121	C₂³×C₆₁	1	8	yes	—
1282	#121	C₂³×C₆₁	1	8	yes	—
1283	#121	C₂³×C₆₁	1	8	yes	—
1284	#121	C₂³×C₆₁	1	4	yes	—
1285	#121	C₂³×C₆₁	1	4	yes	—
1286	#121	C₂³×C₆₁	1	4	yes	—
1287	#121	C₂³×C₆₁	1	2	yes	—
1288	#121	C₂³×C₆₁	1	4	yes	—
1289	#121	C₂³×C₆₁	1	2	yes	—
1290	#121	C₂³×C₆₁	1	4	yes	—
1291	#121	C₂³×C₆₁	1	8	yes	—
1292	#121	C₂³×C₆₁	1	8	yes	—
1293	#121	C₂³×C₆₁	1	8	yes	—
1294	#121	C₂³×C₆₁	1	8	yes	—
1295	#121	C₂³×C₆₁	1	8	yes	—
1296	#121	C₂³×C₆₁	1	8	yes	—
1297	#121	C₂³×C₆₁	1	8	yes	—
1298	#121	C₂³×C₆₁	1	8	yes	—
1299	#121	C₂³×C₆₁	1	8	yes	—
1300	#121	C₂³×C₆₁	1	8	yes	—
1301	#121	C₂³×C₆₁	1	8	yes	—
1302	#121	C₂³×C₆₁	1	8	yes	—
1303	#121	C₂³×C₆₁	1	8	yes	—
1304	#120	C₂³×C₆₁	1	8	yes	—
1305	#120	C₂³×C₆₁	1	4	yes	—
1306	#120	C₂³×C₆₁	1	4	yes	—
1307	#120	C₂³×C₆₁	1	4	yes	—
1308	#120	C₂³×C₆₁	1	8	yes	—
1309	#120	C₂³×C₆₁	1	8	yes	—
1310	#120	C₂³×C₆₁	1	8	yes	—
1311	#120	C₂³×C₆₁	1	4	yes	—
1312	#120	C₂³×C₆₁	1	8	yes	—
1313	#120	C₂³×C₆₁	1	8	yes	—
1314	#120	C₂³×C₆₁	1	8	yes	—
1315	#120	C₂³×C₆₁	1	8	yes	—
1316	#120	C₂³×C₆₁	1	8	yes	—
1317	#120	C₂³×C₆₁	1	8	yes	—
1318	#120	C₂³×C₆₁	1	8	yes	—
1319	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1320	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1321	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1322	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1323	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1324	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1325	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1326	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1327	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1328	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1329	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1330	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1331	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1332	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1333	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1334	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1335	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1336	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1337	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1338	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1339	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1340	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1341	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1342	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1343	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1344	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1345	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1346	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1347	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1348	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1349	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1350	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1351	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1352	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1353	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1354	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1355	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1356	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1357	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1358	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1359	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1360	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1361	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1362	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1363	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1364	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1365	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1366	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1367	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1368	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1369	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1370	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1371	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1372	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1373	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1374	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1375	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1376	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1377	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1378	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1379	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1380	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1381	#117	C₂³×C₆₁	1	1	yes	characteristic
1382	#117	C₂³×C₆₁	1	2	yes	—
1383	#117	C₂³×C₆₁	1	4	yes	—
1384	#117	C₂³×C₆₁	1	2	yes	—
1385	#117	C₂³×C₆₁	1	2	yes	—
1386	#117	C₂³×C₆₁	1	4	yes	—
1387	#117	C₂³×C₆₁	1	1	yes	characteristic
1388	#117	C₂³×C₆₁	1	2	yes	—
1389	#117	C₂³×C₆₁	1	2	yes	—
1390	#117	C₂³×C₆₁	1	2	yes	—
1391	#117	C₂³×C₆₁	1	4	yes	—
1392	#117	C₂³×C₆₁	1	4	yes	—
1393	#117	C₂³×C₆₁	1	4	yes	—
1394	#117	C₂³×C₆₁	1	4	yes	—
1395	#117	C₂³×C₆₁	1	8	yes	—
1396	#117	C₂³×C₆₁	1	8	yes	—
1397	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1398	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1399	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1400	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1401	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1402	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1403	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1404	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1405	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1406	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1407	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1408	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1409	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1410	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1411	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1412	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1413	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1414	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1415	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1416	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1417	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1418	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1419	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
1420	C₂⁴	C₂⁴×C₆₁	1	4	yes	—
1421	C₂⁴	C₂⁴×C₆₁	1	8	yes	—
1422	C₂⁴	C₂⁴×C₆₁	1	4	yes	—
1423	#41	—	2	4	no	—
1424	#41	—	2	8	no	—
1425	#41	—	2	4	no	—
1426	#41	—	4	8	no	—
1427	#41	—	4	8	no	—
1428	#41	—	4	8	no	—
1429	#41	—	4	8	no	—
1430	#41	—	4	8	no	—
1431	#41	—	4	8	no	—
1432	#41	—	4	4	no	—
1433	#41	—	4	4	no	—
1434	#41	—	4	8	no	—
1435	#41	—	4	8	no	—
1436	#41	—	4	4	no	—
1437	#41	—	4	8	no	—
1438	#41	—	8	8	no	—
1439	#41	—	8	4	no	—
1440	C₂×Q₈	—	2	4	no	—
1441	C₂×Q₈	—	4	4	no	—
1442	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1443	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1444	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1445	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1446	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1447	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1448	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1449	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1450	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1451	C₂×D₄	—	2	8	no	—
1452	C₂×D₄	—	4	4	no	—
1453	C₂×D₄	—	4	8	no	—
1454	C₂×D₄	—	4	8	no	—
1455	C₂×D₄	—	4	2	no	—
1456	C₂×D₄	—	4	4	no	—
1457	C₂×D₄	—	4	8	no	—
1458	C₂×D₄	—	4	4	no	—
1459	C₂×D₄	—	4	8	no	—
1460	C₂×D₄	—	4	8	no	—
1461	C₂×D₄	—	4	16	no	—
1462	C₂×D₄	—	8	2	no	—
1463	C₂×D₄	—	8	4	no	—
1464	C₂×D₄	—	8	4	no	—
1465	C₂×D₄	—	8	8	no	—
1466	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1467	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1468	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1469	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1470	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1471	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1472	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1473	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1474	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1475	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1476	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1477	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1478	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1479	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1480	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1481	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1482	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1483	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1484	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1485	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1486	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1487	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1488	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1489	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1490	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1491	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1492	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1493	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1494	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1495	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1496	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1497	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1498	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1499	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1500	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1501	C₂²×C₄	—	2	8	no	—
1502	C₂²×C₄	—	4	8	no	—
1503	C₂²×C₄	—	4	8	no	—
1504	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1505	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1506	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1507	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1508	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1509	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1510	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1511	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1512	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1513	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1514	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1515	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1516	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1517	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1518	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1519	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1520	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1521	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1522	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1523	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1524	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1525	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1526	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1527	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1528	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1529	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1530	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1531	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1532	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1533	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1534	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1535	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1536	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1537	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1538	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1539	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1540	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1541	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1542	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1543	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1544	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1545	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1546	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1547	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1548	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1549	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1550	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1551	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1552	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1553	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1554	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1555	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1556	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1557	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1558	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1559	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1560	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1561	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1562	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1563	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1564	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1565	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1566	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1567	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1568	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1569	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1570	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1571	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1572	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1573	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1574	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1575	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1576	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1577	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1578	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1579	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1580	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1581	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1582	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1583	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1584	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1585	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1586	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1587	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1588	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1589	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1590	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1591	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1592	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1593	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1594	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1595	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1596	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1597	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1598	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1599	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1600	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1601	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1602	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1603	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1604	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1605	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1606	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1607	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1608	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1609	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1610	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1611	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1612	C₄²	C₂⁴×C₆₁	1	2	yes	—
1613	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1614	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1615	C₄²	C₂⁴×C₆₁	1	4	yes	—
1616	C₄²	C₂⁴×C₆₁	1	4	yes	—
1617	C₄²	C₂⁴×C₆₁	1	2	yes	—
1618	C₄²	C₂⁴×C₆₁	1	4	yes	—
1619	C₄²	C₂⁴×C₆₁	1	2	yes	—
1620	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1621	C₄²	C₂⁴×C₆₁	1	2	yes	—
1622	C₄²	C₂⁴×C₆₁	1	4	yes	—
1623	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1624	C₄²	C₂⁴×C₆₁	1	2	yes	—
1625	C₄²	C₂⁴×C₆₁	1	4	yes	—
1626	C₄²	C₂⁴×C₆₁	1	2	yes	—
1627	C₄²	C₂⁴×C₆₁	1	8	yes	—
1628	C₂³	—	2	4	no	—
1629	C₂³	—	2	8	no	—
1630	C₂³	—	4	4	no	—
1631	C₂³	—	4	2	no	—
1632	C₂³	—	4	4	no	—
1633	C₂³	—	4	4	no	—
1634	C₂³	—	4	2	no	—
1635	C₂³	—	4	4	no	—
1636	C₂³	—	4	4	no	—
1637	C₂³	—	4	8	no	—
1638	C₂³	—	4	8	no	—
1639	C₂³	—	4	8	no	—
1640	C₂³	C₂⁵×C₆₁	1	2	yes	—
1641	C₂³	C₂⁵×C₆₁	1	2	yes	—
1642	C₂³	C₂⁵×C₆₁	1	4	yes	—
1643	C₂³	C₂⁵×C₆₁	1	2	yes	—
1644	C₂³	C₂⁵×C₆₁	1	8	yes	—
1645	C₂³	C₂⁵×C₆₁	1	2	yes	—
1646	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1647	Q₈	—	2	4	no	—
1648	Q₈	—	2	4	no	—
1649	Q₈	—	2	2	no	—
1650	Q₈	—	2	4	no	—
1651	Q₈	—	2	2	no	—
1652	Q₈	—	2	4	no	—
1653	Q₈	—	4	4	no	—
1654	Q₈	—	4	2	no	—
1655	Q₈	—	4	4	no	—
1656	D₄	—	2	4	no	—
1657	D₄	—	2	8	no	—
1658	D₄	—	2	4	no	—
1659	D₄	—	2	8	no	—
1660	D₄	—	2	8	no	—
1661	D₄	—	2	2	no	—
1662	D₄	—	2	4	no	—
1663	D₄	—	2	2	no	—
1664	D₄	—	2	2	no	—
1665	D₄	—	2	4	no	—
1666	D₄	—	2	8	no	—
1667	D₄	—	2	2	no	—
1668	D₄	—	4	8	no	—
1669	D₄	—	4	8	no	—
1670	D₄	—	4	4	no	—
1671	D₄	—	4	8	no	—
1672	D₄	—	4	2	no	—
1673	D₄	—	4	4	no	—
1674	D₄	—	4	4	no	—
1675	D₄	—	4	4	no	—
1676	D₄	—	4	4	no	—
1677	D₄	—	4	8	no	—
1678	D₄	—	4	8	no	—
1679	D₄	—	4	4	no	—
1680	D₄	—	4	2	no	—
1681	D₄	—	4	4	no	—
1682	D₄	—	4	4	no	—
1683	D₄	—	4	8	no	—
1684	D₄	—	4	8	no	—
1685	D₄	—	4	8	no	—
1686	D₄	—	4	8	no	—
1687	D₄	—	4	4	no	—
1688	D₄	—	4	8	no	—
1689	D₄	—	4	4	no	—
1690	D₄	—	4	4	no	—
1691	C₂×C₄	—	2	4	no	—
1692	C₂×C₄	—	2	4	no	—
1693	C₂×C₄	—	2	4	no	—
1694	C₂×C₄	—	2	4	no	—
1695	C₂×C₄	—	2	4	no	—
1696	C₂×C₄	—	2	4	no	—
1697	C₂×C₄	—	2	4	no	—
1698	C₂×C₄	—	2	8	no	—
1699	C₂×C₄	—	2	4	no	—
1700	C₂×C₄	—	2	2	no	—
1701	C₂×C₄	—	2	4	no	—
1702	C₂×C₄	—	2	4	no	—
1703	C₂×C₄	—	4	4	no	—
1704	C₂×C₄	—	4	4	no	—
1705	C₂×C₄	—	4	4	no	—
1706	C₂×C₄	—	4	8	no	—
1707	C₂×C₄	—	4	8	no	—
1708	C₂×C₄	—	4	8	no	—
1709	C₂×C₄	—	4	1	no	—
1710	C₂×C₄	—	4	2	no	—
1711	C₂×C₄	—	4	2	no	—
1712	C₂×C₄	—	4	8	no	—
1713	C₂×C₄	—	4	8	no	—
1714	C₂×C₄	—	4	4	no	—
1715	C₂×C₄	—	4	8	no	—
1716	C₂×C₄	—	4	4	no	—
1717	C₂×C₄	—	4	2	no	—
1718	C₂×C₄	H(5,𝔽₂)×C₆₁	1	4	yes	—
1719	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1720	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1721	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1722	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1723	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1724	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1725	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1726	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1727	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1728	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1729	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1730	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1731	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1732	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1733	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1734	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1735	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1736	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1737	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	2	no	—
1741	C₂²	—	2	2	no	—
1742	C₂²	—	2	2	no	—
1743	C₂²	—	2	4	no	—
1744	C₂²	—	2	2	no	—
1745	C₂²	—	2	8	no	—
1746	C₂²	—	2	2	no	—
1747	C₂²	—	2	2	no	—
1748	C₂²	—	2	2	no	—
1749	C₂²	—	2	8	no	—
1750	C₂²	—	2	2	no	—
1751	C₂²	—	2	4	no	—
1752	C₂²	—	2	2	no	—
1753	C₂²	—	2	4	no	—
1754	C₂²	—	2	2	no	—
1755	C₂²	—	2	8	no	—
1756	C₂²	—	2	2	no	—
1757	C₂²	—	2	2	no	—
1758	C₂²	—	8	4	no	—
1759	C₂²	—	8	8	no	—
1760	C₂²	—	8	8	no	—
1761	C₂²	—	16	8	no	—
1762	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
1763	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
1764	C₄	—	2	2	no	—
1765	C₄	—	2	2	no	—
1766	C₄	—	2	2	no	—
1767	C₄	—	2	4	no	—
1768	C₄	—	2	2	no	—
1769	C₄	—	2	4	no	—
1770	C₄	—	2	2	no	—
1771	C₄	—	2	2	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	4	no	—
1774	C₄	—	2	4	no	—
1775	C₄	—	2	2	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	4	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	2	no	—
1780	C₄	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
1781	C₄	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
1782	C₄	C₆₁×#585	1	2	yes	—
1783	C₂	—	2	2	no	—
1784	C₂	—	4	2	no	—
1785	C₂	—	4	2	no	—
1786	C₂	—	4	4	no	—
1787	C₂	—	4	8	no	—
1788	C₂	—	4	2	no	—
1789	C₂	—	4	2	no	—
1790	C₂	C₂²×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1791	C₂	C₂×C₆₁×#585	1	1	yes	characteristic
1792	C₂	C₆₁×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₆₁
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3562	C₂	semidirect
2. C₆₁×#3554	C₂	semidirect
3. C₆₁×#3548	C₂	semidirect
4. C₆₁×#3546	C₂	semidirect
5. C₆₁×#3546	C₂	semidirect
6. C₆₁×#3543	C₂	semidirect
7. C₆₁×#3543	C₂	semidirect
8. C₆₁×#3542	C₂	semidirect
9. C₆₁×#3539	C₂	semidirect
10. C₆₁×#3534	C₂	semidirect
11. C₆₁×#3519	C₂	semidirect
12. C₆₁×#3517	C₂	semidirect
13. C₆₁×#3513	C₂	semidirect
14. C₆₁×#3508	C₂	semidirect
15. C₆₁×#3508	C₂	semidirect
16. C₆₁×#3507	C₂	semidirect
17. C₆₁×#3506	C₂	semidirect
18. C₆₁×#3498	C₂	semidirect
19. C₆₁×#3494	C₂	semidirect
20. C₆₁×#3488	C₂	semidirect
21. C₆₁×#3485	C₂	semidirect
22. C₆₁×#3475	C₂	semidirect
23. D₄×#41×C₆₁	C₂	semidirect
24. C₂×C₆₁×#550	C₂	semidirect
25. C₆₁×#3461	C₂	semidirect
26. C₆₁×#3449	C₂	semidirect
27. C₂×H(5,𝔽₂)×C₆₁	C₂²	semidirect
28. C₂²×#41×C₆₁	C₂²	semidirect
29. C₂²×#41×C₆₁	C₂²	semidirect
30. C₆₁×#562	C₂²	semidirect
31. C₆₁×#562	C₂²	semidirect
32. C₆₁×#560	C₂²	semidirect
33. C₆₁×#560	C₂²	semidirect
34. C₆₁×#560	C₂²	semidirect
35. C₆₁×#560	C₂²	semidirect
36. C₆₁×#559	C₂²	semidirect
37. C₆₁×#559	C₂²	semidirect
38. C₆₁×#559	C₂²	semidirect
39. C₆₁×#559	C₂²	semidirect
40. C₆₁×#559	C₂²	semidirect
41. C₆₁×#557	C₂²	semidirect
42. C₆₁×#556	C₂²	semidirect
43. C₆₁×#556	C₂²	semidirect
44. C₆₁×#556	C₂²	semidirect
45. C₆₁×#555	C₂²	semidirect
46. C₆₁×#555	C₂²	semidirect
47. C₆₁×#554	C₂²	semidirect
48. C₆₁×#554	C₂²	semidirect
49. C₆₁×#554	C₂²	semidirect
50. C₆₁×#553	C₂²	semidirect
51. C₆₁×#553	C₂²	semidirect
52. C₆₁×#553	C₂²	semidirect
53. C₆₁×#553	C₂²	semidirect
54. C₆₁×#553	C₂²	semidirect
55. C₆₁×#553	C₂²	semidirect
56. C₆₁×#553	C₂²	semidirect
57. C₆₁×#552	C₂²	semidirect
58. C₆₁×#552	C₂²	semidirect
59. C₆₁×#552	C₂²	semidirect
60. C₆₁×#551	C₂²	semidirect
61. C₆₁×#551	C₂²	semidirect
62. C₆₁×#551	C₂²	semidirect
63. C₆₁×#550	C₂²	semidirect
64. C₆₁×#550	C₂²	semidirect
65. C₆₁×#550	C₂²	semidirect
66. C₆₁×#550	C₂²	semidirect
67. C₆₁×#550	C₂²	semidirect
68. C₆₁×#550	C₂²	semidirect
69. C₆₁×#550	C₂²	semidirect
70. C₆₁×#550	C₂²	semidirect
71. C₆₁×#550	C₂²	semidirect
72. C₆₁×#550	C₂²	semidirect
73. C₆₁×#550	C₂²	semidirect
74. C₆₁×#550	C₂²	semidirect
75. C₆₁×#550	C₂²	semidirect
76. C₆₁×#550	C₂²	semidirect
77. D₄×Q₈×C₆₁	C₂²	semidirect
78. C₆₁×#548	C₂²	semidirect
79. C₆₁×#548	C₂²	semidirect
80. C₆₁×#547	C₂²	semidirect
81. C₆₁×#547	C₂²	semidirect
82. C₆₁×#547	C₂²	semidirect
83. C₆₁×#547	C₂²	semidirect
84. C₆₁×#547	C₂²	semidirect
85. C₆₁×#547	C₂²	semidirect
86. C₆₁×#547	C₂²	semidirect
87. C₆₁×#547	C₂²	semidirect
88. C₆₁×#546	C₂²	semidirect
89. C₆₁×#546	C₂²	semidirect
90. C₆₁×#546	C₂²	semidirect
91. C₆₁×#546	C₂²	semidirect
92. C₆₁×#546	C₂²	semidirect
93. C₆₁×#546	C₂²	semidirect
94. C₆₁×#546	C₂²	semidirect
95. C₆₁×#546	C₂²	semidirect
96. C₆₁×#546	C₂²	semidirect
97. C₆₁×#546	C₂²	semidirect
98. C₆₁×#546	C₂²	semidirect
99. C₆₁×#546	C₂²	semidirect
100. C₆₁×#546	C₂²	semidirect
101. C₆₁×#546	C₂²	semidirect
102. C₆₁×#546	C₂²	semidirect
103. D₄²×C₆₁	C₂²	semidirect
104. D₄²×C₆₁	C₂²	semidirect
105. D₄²×C₆₁	C₂²	semidirect
106. D₄²×C₆₁	C₂²	semidirect
107. D₄²×C₆₁	C₂²	semidirect
108. D₄²×C₆₁	C₂²	semidirect
109. D₄²×C₆₁	C₂²	semidirect
110. D₄²×C₆₁	C₂²	semidirect
111. D₄²×C₆₁	C₂²	semidirect
112. C₆₁×#544	C₂²	semidirect
113. C₆₁×#542	C₂²	semidirect
114. C₆₁×#542	C₂²	semidirect
115. C₆₁×#542	C₂²	semidirect
116. C₆₁×#542	C₂²	semidirect
117. C₆₁×#541	C₂²	semidirect
118. C₆₁×#541	C₂²	semidirect
119. C₆₁×#540	C₂²	semidirect
120. C₆₁×#540	C₂²	semidirect
121. C₆₁×#540	C₂²	semidirect
122. C₆₁×#540	C₂²	semidirect
123. C₆₁×#540	C₂²	semidirect
124. C₆₁×#540	C₂²	semidirect
125. C₆₁×#540	C₂²	semidirect
126. C₆₁×#540	C₂²	semidirect
127. C₆₁×#539	C₂²	semidirect
128. C₆₁×#539	C₂²	semidirect
129. C₆₁×#539	C₂²	semidirect
130. C₆₁×#539	C₂²	semidirect
131. C₆₁×#538	C₂²	semidirect
132. C₆₁×#538	C₂²	semidirect
133. C₆₁×#538	C₂²	semidirect
134. C₆₁×#538	C₂²	semidirect
136. C₆₁×#537	C₂²	semidirect
137. C₆₁×#537	C₂²	semidirect
138. C₆₁×#537	C₂²	semidirect
139. C₆₁×#537	C₂²	semidirect
140. C₆₁×#536	C₂²	semidirect
141. C₆₁×#536	C₂²	semidirect
142. C₆₁×#536	C₂²	semidirect
143. C₆₁×#536	C₂²	semidirect
144. C₆₁×#535	C₂²	semidirect
145. C₆₁×#535	C₂²	semidirect
146. C₆₁×#535	C₂²	semidirect
147. C₆₁×#535	C₂²	semidirect
148. C₆₁×#535	C₂²	semidirect
149. C₆₁×#535	C₂²	semidirect
150. C₆₁×#535	C₂²	semidirect
151. C₆₁×#535	C₂²	semidirect
152. C₆₁×#534	C₂²	semidirect
153. C₆₁×#534	C₂²	semidirect
154. C₆₁×#534	C₂²	semidirect
155. C₆₁×#533	C₂²	semidirect
156. C₆₁×#533	C₂²	semidirect
157. C₆₁×#533	C₂²	semidirect
159. C₆₁×#532	C₂²	semidirect
160. C₆₁×#532	C₂²	semidirect
161. C₆₁×#532	C₂²	semidirect
162. C₆₁×#532	C₂²	semidirect
163. C₆₁×#532	C₂²	semidirect
164. C₆₁×#532	C₂²	semidirect
165. C₆₁×#532	C₂²	semidirect
166. C₂×#127×C₆₁	C₂²	semidirect
167. C₂×#127×C₆₁	C₂²	semidirect
168. C₂×#127×C₆₁	C₂²	semidirect
169. C₆₁×#529	C₂²	semidirect
170. C₆₁×#529	C₂²	semidirect
171. C₆₁×#529	C₂²	semidirect
172. C₆₁×#529	C₂²	semidirect
173. C₆₁×#529	C₂²	semidirect
174. C₆₁×#529	C₂²	semidirect
175. C₆₁×#529	C₂²	semidirect
176. C₆₁×#525	C₂²	semidirect
177. C₆₁×#525	C₂²	semidirect
178. C₆₁×#525	C₂²	semidirect
179. C₆₁×#525	C₂²	semidirect
180. C₆₁×#525	C₂²	semidirect
181. C₆₁×#525	C₂²	semidirect
182. C₆₁×#525	C₂²	semidirect
183. C₂×#123×C₆₁	C₂²	semidirect
184. C₂×#121×C₆₁	C₂²	semidirect
185. C₂×#121×C₆₁	C₂²	semidirect
186. C₂×#121×C₆₁	C₂²	semidirect
187. C₆₁×#520	C₂²	semidirect
188. C₆₁×#520	C₂²	semidirect
189. C₆₁×#518	C₂²	semidirect
190. C₆₁×#518	C₂²	semidirect
191. C₄×#41×C₆₁	C₂²	semidirect
192. C₄×#41×C₆₁	C₂²	semidirect
193. C₄×#41×C₆₁	C₂²	semidirect
194. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
195. C₂×C₄×D₄×C₆₁	C₂²	semidirect
196. C₂×C₄×D₄×C₆₁	C₂²	semidirect
197. C₂×C₄×D₄×C₆₁	C₂²	semidirect
198. C₂×#117×C₆₁	C₂²	semidirect
841. #62955	C₆₁	direct (N × H)
887. #3562	C₂×C₆₁	semidirect
888. #3554	C₂×C₆₁	semidirect
889. #3548	C₂×C₆₁	semidirect
890. #3546	C₂×C₆₁	semidirect
891. #3546	C₂×C₆₁	semidirect
892. #3543	C₂×C₆₁	semidirect
893. #3543	C₂×C₆₁	semidirect
894. #3542	C₂×C₆₁	semidirect
895. #3539	C₂×C₆₁	semidirect
896. #3534	C₂×C₆₁	semidirect
897. #3519	C₂×C₆₁	semidirect
898. #3517	C₂×C₆₁	semidirect
899. #3513	C₂×C₆₁	semidirect
900. #3508	C₂×C₆₁	semidirect
901. #3508	C₂×C₆₁	semidirect
902. #3507	C₂×C₆₁	semidirect
903. #3506	C₂×C₆₁	semidirect
904. #3498	C₂×C₆₁	semidirect
905. #3494	C₂×C₆₁	semidirect
906. #3488	C₂×C₆₁	semidirect
907. #3485	C₂×C₆₁	semidirect
908. #3475	C₂×C₆₁	semidirect
909. D₄×#41	C₂×C₆₁	semidirect
910. C₂×#550	C₂×C₆₁	semidirect
911. #3461	C₂×C₆₁	semidirect
912. #3449	C₂×C₆₁	semidirect
923. C₂×H(5,𝔽₂)	C₂²×C₆₁	semidirect
924. C₂²×#41	C₂²×C₆₁	semidirect
925. C₂²×#41	C₂²×C₆₁	semidirect
926. #562	C₂²×C₆₁	semidirect
927. #562	C₂²×C₆₁	semidirect
928. #560	C₂²×C₆₁	semidirect
929. #560	C₂²×C₆₁	semidirect
930. #560	C₂²×C₆₁	semidirect
931. #560	C₂²×C₆₁	semidirect
932. #559	C₂²×C₆₁	semidirect
933. #559	C₂²×C₆₁	semidirect
934. #559	C₂²×C₆₁	semidirect
935. #559	C₂²×C₆₁	semidirect
936. #559	C₂²×C₆₁	semidirect
937. #557	C₂²×C₆₁	semidirect
938. #556	C₂²×C₆₁	semidirect
939. #556	C₂²×C₆₁	semidirect
940. #556	C₂²×C₆₁	semidirect
941. #555	C₂²×C₆₁	semidirect
942. #555	C₂²×C₆₁	semidirect
943. #554	C₂²×C₆₁	semidirect
944. #554	C₂²×C₆₁	semidirect
945. #554	C₂²×C₆₁	semidirect
946. #553	C₂²×C₆₁	semidirect
947. #553	C₂²×C₆₁	semidirect
948. #553	C₂²×C₆₁	semidirect
949. #553	C₂²×C₆₁	semidirect
950. #553	C₂²×C₆₁	semidirect
951. #553	C₂²×C₆₁	semidirect
952. #553	C₂²×C₆₁	semidirect
953. #552	C₂²×C₆₁	semidirect
954. #552	C₂²×C₆₁	semidirect
955. #552	C₂²×C₆₁	semidirect
956. #551	C₂²×C₆₁	semidirect
957. #551	C₂²×C₆₁	semidirect
958. #551	C₂²×C₆₁	semidirect
959. #550	C₂²×C₆₁	semidirect
960. #550	C₂²×C₆₁	semidirect
961. #550	C₂²×C₆₁	semidirect
962. #550	C₂²×C₆₁	semidirect
963. #550	C₂²×C₆₁	semidirect
964. #550	C₂²×C₆₁	semidirect
965. #550	C₂²×C₆₁	semidirect
966. #550	C₂²×C₆₁	semidirect
967. #550	C₂²×C₆₁	semidirect
968. #550	C₂²×C₆₁	semidirect
969. #550	C₂²×C₆₁	semidirect
970. #550	C₂²×C₆₁	semidirect
971. #550	C₂²×C₆₁	semidirect
972. #550	C₂²×C₆₁	semidirect
973. D₄×Q₈	C₂²×C₆₁	semidirect
974. #548	C₂²×C₆₁	semidirect
975. #548	C₂²×C₆₁	semidirect
976. #547	C₂²×C₆₁	semidirect
977. #547	C₂²×C₆₁	semidirect
978. #547	C₂²×C₆₁	semidirect
979. #547	C₂²×C₆₁	semidirect
980. #547	C₂²×C₆₁	semidirect
981. #547	C₂²×C₆₁	semidirect
982. #547	C₂²×C₆₁	semidirect
983. #547	C₂²×C₆₁	semidirect
984. #546	C₂²×C₆₁	semidirect
985. #546	C₂²×C₆₁	semidirect
986. #546	C₂²×C₆₁	semidirect
987. #546	C₂²×C₆₁	semidirect
988. #546	C₂²×C₆₁	semidirect
989. #546	C₂²×C₆₁	semidirect
990. #546	C₂²×C₆₁	semidirect
991. #546	C₂²×C₆₁	semidirect
992. #546	C₂²×C₆₁	semidirect
993. #546	C₂²×C₆₁	semidirect
994. #546	C₂²×C₆₁	semidirect
995. #546	C₂²×C₆₁	semidirect
996. #546	C₂²×C₆₁	semidirect
997. #546	C₂²×C₆₁	semidirect
998. #546	C₂²×C₆₁	semidirect
999. D₄²	C₂²×C₆₁	semidirect
1000. D₄²	C₂²×C₆₁	semidirect
1001. D₄²	C₂²×C₆₁	semidirect
1002. D₄²	C₂²×C₆₁	semidirect
1003. D₄²	C₂²×C₆₁	semidirect
1004. D₄²	C₂²×C₆₁	semidirect
1005. D₄²	C₂²×C₆₁	semidirect
1006. D₄²	C₂²×C₆₁	semidirect
1007. D₄²	C₂²×C₆₁	semidirect
1008. #544	C₂²×C₆₁	semidirect
1009. #542	C₂²×C₆₁	semidirect
1010. #542	C₂²×C₆₁	semidirect
1011. #542	C₂²×C₆₁	semidirect
1012. #542	C₂²×C₆₁	semidirect
1013. #541	C₂²×C₆₁	semidirect
1014. #541	C₂²×C₆₁	semidirect
1015. #540	C₂²×C₆₁	semidirect
1016. #540	C₂²×C₆₁	semidirect
1017. #540	C₂²×C₆₁	semidirect
1018. #540	C₂²×C₆₁	semidirect
1019. #540	C₂²×C₆₁	semidirect
1020. #540	C₂²×C₆₁	semidirect
1021. #540	C₂²×C₆₁	semidirect
1022. #540	C₂²×C₆₁	semidirect
1023. #539	C₂²×C₆₁	semidirect
1024. #539	C₂²×C₆₁	semidirect
1025. #539	C₂²×C₆₁	semidirect
1026. #539	C₂²×C₆₁	semidirect
1027. #538	C₂²×C₆₁	semidirect
1028. #538	C₂²×C₆₁	semidirect
1029. #538	C₂²×C₆₁	semidirect
1030. #538	C₂²×C₆₁	semidirect
1032. #537	C₂²×C₆₁	semidirect
1033. #537	C₂²×C₆₁	semidirect
1034. #537	C₂²×C₆₁	semidirect
1035. #537	C₂²×C₆₁	semidirect
1036. #536	C₂²×C₆₁	semidirect
1037. #536	C₂²×C₆₁	semidirect
1038. #536	C₂²×C₆₁	semidirect
1039. #536	C₂²×C₆₁	semidirect
1040. #535	C₂²×C₆₁	semidirect
1041. #535	C₂²×C₆₁	semidirect
1042. #535	C₂²×C₆₁	semidirect
1043. #535	C₂²×C₆₁	semidirect
1044. #535	C₂²×C₆₁	semidirect
1045. #535	C₂²×C₆₁	semidirect
1046. #535	C₂²×C₆₁	semidirect
1047. #535	C₂²×C₆₁	semidirect
1048. #534	C₂²×C₆₁	semidirect
1049. #534	C₂²×C₆₁	semidirect
1050. #534	C₂²×C₆₁	semidirect
1051. #533	C₂²×C₆₁	semidirect
1052. #533	C₂²×C₆₁	semidirect
1053. #533	C₂²×C₆₁	semidirect
1055. #532	C₂²×C₆₁	semidirect
1056. #532	C₂²×C₆₁	semidirect
1057. #532	C₂²×C₆₁	semidirect
1058. #532	C₂²×C₆₁	semidirect
1059. #532	C₂²×C₆₁	semidirect
1060. #532	C₂²×C₆₁	semidirect
1061. #532	C₂²×C₆₁	semidirect
1062. C₂×#127	C₂²×C₆₁	semidirect
1063. C₂×#127	C₂²×C₆₁	semidirect
1064. C₂×#127	C₂²×C₆₁	semidirect
1065. #529	C₂²×C₆₁	semidirect
1066. #529	C₂²×C₆₁	semidirect
1067. #529	C₂²×C₆₁	semidirect
1068. #529	C₂²×C₆₁	semidirect
1069. #529	C₂²×C₆₁	semidirect
1070. #529	C₂²×C₆₁	semidirect
1071. #529	C₂²×C₆₁	semidirect
1072. #525	C₂²×C₆₁	semidirect
1073. #525	C₂²×C₆₁	semidirect
1074. #525	C₂²×C₆₁	semidirect
1075. #525	C₂²×C₆₁	semidirect
1076. #525	C₂²×C₆₁	semidirect
1077. #525	C₂²×C₆₁	semidirect
1078. #525	C₂²×C₆₁	semidirect
1079. C₂×#123	C₂²×C₆₁	semidirect
1080. C₂×#121	C₂²×C₆₁	semidirect
1081. C₂×#121	C₂²×C₆₁	semidirect
1082. C₂×#121	C₂²×C₆₁	semidirect
1083. #520	C₂²×C₆₁	semidirect
1084. #520	C₂²×C₆₁	semidirect
1085. #518	C₂²×C₆₁	semidirect
1086. #518	C₂²×C₆₁	semidirect
1087. C₄×#41	C₂²×C₆₁	semidirect
1088. C₄×#41	C₂²×C₆₁	semidirect
1089. C₄×#41	C₂²×C₆₁	semidirect
1090. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
1091. C₂×C₄×D₄	C₂²×C₆₁	semidirect
1092. C₂×C₄×D₄	C₂²×C₆₁	semidirect
1093. C₂×C₄×D₄	C₂²×C₆₁	semidirect
1094. C₂×#117	C₂²×C₆₁	semidirect
1095. C₆₁	#62955	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×#3562	2
C₆₁×#3554	2
C₆₁×#3548	2
C₆₁×#3546	2
C₆₁×#3543	2
C₆₁×#3542	2
C₆₁×#3539	2
C₆₁×#3534	2
C₆₁×#3519	2
C₆₁×#3517	2
C₆₁×#3513	2
C₆₁×#3508	2
C₆₁×#3507	2
C₆₁×#3506	2
C₆₁×#3498	2
C₆₁×#3494	2
C₆₁×#3488	2
C₆₁×#3485	2
C₆₁×#3475	2
D₄×#41×C₆₁	2
C₂×C₆₁×#550	2
C₆₁×#3461	2
C₆₁×#3449	2
#62955	61

Subgroups — C61×#62955 #29566388

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62955 #29566388