Subgroups — C₆₁×#62942 #29566375

Order 15616.

6994 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3561	C₂	1	4	yes	maximal, complemented
2	C₆₁×#3554	C₂	1	2	yes	maximal, complemented
3	C₆₁×#3552	C₂	1	2	yes	maximal, complemented
4	C₆₁×#3552	C₂	1	4	yes	maximal, complemented
5	C₆₁×#3550	C₂	1	2	yes	maximal, complemented
6	C₆₁×#3547	C₂	1	2	yes	maximal, complemented
7	C₆₁×#3544	C₂	1	4	yes	maximal, complemented
8	C₆₁×#3541	C₂	1	4	yes	maximal, complemented
9	C₆₁×#3538	C₂	1	4	yes	maximal, complemented
10	C₆₁×#3535	C₂	1	8	yes	maximal, complemented
11	C₆₁×#3520	C₂	1	2	yes	maximal, complemented
12	C₆₁×#3514	C₂	1	2	yes	maximal, complemented
13	C₆₁×#3513	C₂	1	4	yes	maximal, complemented
14	C₆₁×#3509	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3507	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3503	C₂	1	2	yes	maximal, complemented
17	C₆₁×#3501	C₂	1	2	yes	maximal, complemented
18	C₆₁×#3499	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3495	C₂	1	2	yes	maximal, complemented
20	C₆₁×#3489	C₂	1	2	yes	maximal, complemented
21	C₆₁×#3486	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×D₄×Q₈×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3461	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×C₆₁×#536	C₂	1	2	yes	maximal, complemented
27	C₂×2₋¹⁺⁴×C₆₁	C₂²	1	2	yes	complemented
28	C₂²×#41×C₆₁	C₂²	1	2	yes	—
29	C₂³×Q₈×C₆₁	C₂²	1	2	yes	complemented
30	C₆₁×#563	C₂²	1	8	yes	complemented
31	C₆₁×#563	C₂²	1	8	yes	complemented
32	C₆₁×#563	C₂²	1	8	yes	complemented
33	C₆₁×#563	C₂²	1	8	yes	complemented
34	C₆₁×#562	C₂²	1	8	yes	complemented
35	C₆₁×#562	C₂²	1	8	yes	complemented
36	C₆₁×#559	C₂²	1	4	yes	complemented
37	C₆₁×#559	C₂²	1	2	yes	complemented
38	Q₈²×C₆₁	C₂²	1	4	yes	complemented
39	C₆₁×#557	C₂²	1	2	yes	complemented
40	C₆₁×#557	C₂²	1	2	yes	complemented
41	C₆₁×#557	C₂²	1	2	yes	complemented
42	C₆₁×#556	C₂²	1	1	yes	characteristic, complemented
43	C₆₁×#556	C₂²	1	4	yes	complemented
44	C₆₁×#556	C₂²	1	2	yes	complemented
45	C₆₁×#556	C₂²	1	4	yes	complemented
46	C₆₁×#556	C₂²	1	2	yes	complemented
47	C₆₁×#556	C₂²	1	2	yes	complemented
48	C₆₁×#555	C₂²	1	4	yes	complemented
49	C₆₁×#555	C₂²	1	1	yes	characteristic, complemented
50	C₆₁×#554	C₂²	1	1	yes	characteristic
51	C₆₁×#554	C₂²	1	4	yes	—
52	C₆₁×#554	C₂²	1	4	yes	complemented
53	C₆₁×#554	C₂²	1	4	yes	complemented
54	C₆₁×#554	C₂²	1	2	yes	complemented
55	C₆₁×#554	C₂²	1	8	yes	complemented
56	C₆₁×#554	C₂²	1	4	yes	complemented
57	C₆₁×#554	C₂²	1	8	yes	complemented
58	C₆₁×#553	C₂²	1	4	yes	complemented
59	C₆₁×#553	C₂²	1	8	yes	complemented
60	C₆₁×#553	C₂²	1	2	yes	complemented
61	C₆₁×#552	C₂²	1	2	yes	complemented
62	C₆₁×#552	C₂²	1	8	yes	complemented
63	C₆₁×#552	C₂²	1	4	yes	complemented
64	C₆₁×#552	C₂²	1	4	yes	complemented
65	C₆₁×#552	C₂²	1	2	yes	complemented
66	C₆₁×#552	C₂²	1	4	yes	complemented
67	C₆₁×#552	C₂²	1	4	yes	complemented
68	C₆₁×#552	C₂²	1	4	yes	complemented
69	C₆₁×#551	C₂²	1	8	yes	complemented
70	C₆₁×#551	C₂²	1	8	yes	complemented
71	C₆₁×#551	C₂²	1	4	yes	complemented
72	C₆₁×#551	C₂²	1	8	yes	complemented
73	C₆₁×#551	C₂²	1	8	yes	complemented
74	C₆₁×#550	C₂²	1	1	yes	characteristic
75	D₄×Q₈×C₆₁	C₂²	1	2	yes	—
76	D₄×Q₈×C₆₁	C₂²	1	2	yes	—
77	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
78	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
79	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
80	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
81	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
82	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
83	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
84	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
85	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
86	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
87	D₄×Q₈×C₆₁	C₂²	1	4	yes	complemented
88	D₄×Q₈×C₆₁	C₂²	1	2	yes	complemented
89	C₆₁×#548	C₂²	1	2	yes	—
90	C₆₁×#548	C₂²	1	4	yes	complemented
91	C₆₁×#548	C₂²	1	4	yes	complemented
92	C₆₁×#548	C₂²	1	4	yes	complemented
93	C₆₁×#548	C₂²	1	4	yes	complemented
94	C₆₁×#548	C₂²	1	4	yes	complemented
95	C₆₁×#547	C₂²	1	2	yes	—
96	C₆₁×#547	C₂²	1	1	yes	characteristic
97	C₆₁×#547	C₂²	1	1	yes	characteristic
98	C₆₁×#547	C₂²	1	8	yes	complemented
99	C₆₁×#547	C₂²	1	4	yes	complemented
100	C₆₁×#547	C₂²	1	2	yes	complemented
101	C₆₁×#547	C₂²	1	4	yes	complemented
102	C₆₁×#547	C₂²	1	4	yes	complemented
103	C₆₁×#547	C₂²	1	2	yes	complemented
104	C₆₁×#546	C₂²	1	2	yes	—
105	C₆₁×#546	C₂²	1	4	yes	—
106	C₆₁×#546	C₂²	1	2	yes	—
107	C₆₁×#546	C₂²	1	4	yes	—
108	C₆₁×#546	C₂²	1	4	yes	complemented
109	C₆₁×#546	C₂²	1	8	yes	complemented
110	D₄²×C₆₁	C₂²	1	2	yes	—
111	D₄²×C₆₁	C₂²	1	1	yes	characteristic
112	C₆₁×#544	C₂²	1	4	yes	complemented
113	C₆₁×#544	C₂²	1	4	yes	complemented
114	C₆₁×#544	C₂²	1	8	yes	complemented
115	C₆₁×#544	C₂²	1	1	yes	characteristic, complemented
116	C₆₁×#544	C₂²	1	8	yes	complemented
117	C₆₁×#543	C₂²	1	8	yes	complemented
118	C₆₁×#542	C₂²	1	4	yes	complemented
119	C₆₁×#542	C₂²	1	4	yes	complemented
120	C₆₁×#542	C₂²	1	8	yes	complemented
121	C₆₁×#542	C₂²	1	8	yes	complemented
122	C₆₁×#542	C₂²	1	4	yes	complemented
123	C₆₁×#542	C₂²	1	8	yes	complemented
124	C₆₁×#542	C₂²	1	4	yes	complemented
125	C₆₁×#542	C₂²	1	2	yes	complemented
126	C₆₁×#542	C₂²	1	2	yes	complemented
127	C₆₁×#541	C₂²	1	2	yes	complemented
128	C₆₁×#541	C₂²	1	4	yes	complemented
129	C₆₁×#541	C₂²	1	2	yes	complemented
130	C₆₁×#541	C₂²	1	4	yes	complemented
131	C₆₁×#540	C₂²	1	4	yes	complemented
132	C₆₁×#539	C₂²	1	8	yes	complemented
133	C₆₁×#539	C₂²	1	8	yes	complemented
134	C₆₁×#539	C₂²	1	8	yes	complemented
135	C₆₁×#539	C₂²	1	8	yes	complemented
136	C₆₁×#539	C₂²	1	4	yes	complemented
137	C₆₁×#539	C₂²	1	4	yes	complemented
138	C₆₁×#538	C₂²	1	8	yes	complemented
139	C₆₁×#538	C₂²	1	8	yes	complemented
140	C₆₁×#537	C₂²	1	1	yes	characteristic
141	C₆₁×#537	C₂²	1	4	yes	complemented
142	C₆₁×#536	C₂²	1	1	yes	characteristic
143	C₆₁×#536	C₂²	1	2	yes	—
144	C₆₁×#536	C₂²	1	8	yes	complemented
145	C₆₁×#536	C₂²	1	8	yes	complemented
146	C₆₁×#536	C₂²	1	4	yes	complemented
147	C₆₁×#536	C₂²	1	4	yes	complemented
148	C₆₁×#536	C₂²	1	4	yes	complemented
149	C₆₁×#536	C₂²	1	4	yes	complemented
150	C₆₁×#536	C₂²	1	4	yes	complemented
151	C₆₁×#536	C₂²	1	4	yes	complemented
152	C₆₁×#536	C₂²	1	2	yes	complemented
153	C₆₁×#536	C₂²	1	2	yes	complemented
154	C₆₁×#536	C₂²	1	1	yes	characteristic, complemented
155	C₆₁×#533	C₂²	1	2	yes	complemented
156	C₆₁×#533	C₂²	1	2	yes	complemented
157	C₆₁×#533	C₂²	1	2	yes	complemented
158	C₆₁×#533	C₂²	1	2	yes	complemented
159	C₆₁×#533	C₂²	1	4	yes	complemented
160	C₆₁×#533	C₂²	1	1	yes	characteristic, complemented
161	C₆₁×#532	C₂²	1	2	yes	—
162	C₆₁×#532	C₂²	1	1	yes	characteristic
163	C₆₁×#532	C₂²	1	2	yes	complemented
164	C₂×C₄⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
165	C₂×C₄⋊Q₈×C₆₁	C₂²	1	4	yes	complemented
166	C₂×C₄⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
167	C₂×C₄⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
168	C₆₁×#529	C₂²	1	4	yes	complemented
169	C₆₁×#529	C₂²	1	4	yes	complemented
170	C₆₁×#529	C₂²	1	2	yes	complemented
171	C₆₁×#529	C₂²	1	2	yes	complemented
172	C₆₁×#529	C₂²	1	4	yes	complemented
173	C₆₁×#529	C₂²	1	2	yes	complemented
174	C₆₁×#529	C₂²	1	4	yes	complemented
175	C₂×#124×C₆₁	C₂²	1	4	yes	complemented
176	C₆₁×#525	C₂²	1	2	yes	—
177	C₆₁×#525	C₂²	1	4	yes	—
178	C₆₁×#525	C₂²	1	2	yes	complemented
179	C₆₁×#525	C₂²	1	8	yes	complemented
180	C₆₁×#525	C₂²	1	4	yes	complemented
181	C₂×#123×C₆₁	C₂²	1	8	yes	complemented
182	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	complemented
183	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	complemented
184	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	2	yes	complemented
185	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	complemented
186	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	4	yes	complemented
187	C₆₁×#520	C₂²	1	4	yes	—
188	C₆₁×#520	C₂²	1	2	yes	complemented
189	C₆₁×#519	C₂²	1	2	yes	complemented
190	C₆₁×#518	C₂²	1	4	yes	—
191	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
192	C₄×#41×C₆₁	C₂²	1	2	yes	—
193	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic, complemented
194	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
196	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	—
197	C₂×C₄×D₄×C₆₁	C₂²	1	2	yes	—
198	C₂×#117×C₆₁	C₂²	1	2	yes	complemented
199	2₋¹⁺⁴×C₆₁	—	4	8	no	—
200	C₂×#41×C₆₁	—	4	8	no	—
201	C₂×#41×C₆₁	C₂³	1	2	yes	—
202	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
203	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₆₁	C₂³	1	2	yes	—
205	C₂×#41×C₆₁	C₂³	1	4	yes	—
206	C₂×#41×C₆₁	C₂³	1	4	yes	—
207	C₂×#41×C₆₁	C₂³	1	4	yes	—
208	C₂×#41×C₆₁	C₂³	1	2	yes	—
209	C₂×#41×C₆₁	C₂³	1	2	yes	—
210	C₂×#41×C₆₁	C₂³	1	8	yes	—
211	C₂×#41×C₆₁	C₂³	1	4	yes	—
212	C₂²×Q₈×C₆₁	—	4	8	no	—
213	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
214	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
215	C₂²×Q₈×C₆₁	C₂³	1	2	yes	—
216	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
217	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
218	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
219	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
220	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
221	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
222	C₂²×Q₈×C₆₁	C₂³	1	4	yes	—
223	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
225	C₂²×D₄×C₆₁	C₂³	1	4	yes	—
226	C₂²×D₄×C₆₁	C₂³	1	2	yes	—
227	C₂³×C₄×C₆₁	C₂³	1	2	yes	—
228	C₂³×C₄×C₆₁	C₂³	1	4	yes	—
229	C₂³×C₄×C₆₁	C₂³	1	4	yes	—
230	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
232	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
233	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
234	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
235	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
236	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
237	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
238	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
239	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
240	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
241	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
242	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
243	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
244	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
245	C₄⋊Q₈×C₆₁	C₂³	1	4	yes	—
246	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
247	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
248	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
249	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
250	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
251	C₄⋊Q₈×C₆₁	C₂³	1	2	yes	—
252	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
253	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
254	C₄⋊Q₈×C₆₁	C₂³	1	8	yes	—
255	#127×C₆₁	C₂³	1	1	yes	characteristic
256	#127×C₆₁	C₂³	1	2	yes	—
257	#126×C₆₁	C₂³	1	8	yes	—
258	#126×C₆₁	C₂³	1	8	yes	—
259	#126×C₆₁	C₂³	1	8	yes	—
260	#126×C₆₁	C₂³	1	8	yes	—
261	#126×C₆₁	C₂³	1	4	yes	—
262	#126×C₆₁	C₂³	1	8	yes	—
263	#126×C₆₁	C₂³	1	4	yes	—
264	#126×C₆₁	C₂³	1	8	yes	—
265	#126×C₆₁	C₂³	1	8	yes	—
266	#126×C₆₁	C₂³	1	4	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	4	yes	—
271	#126×C₆₁	C₂³	1	4	yes	—
272	#125×C₆₁	C₂³	1	4	yes	—
273	#125×C₆₁	C₂³	1	4	yes	—
274	#125×C₆₁	C₂³	1	4	yes	—
275	#125×C₆₁	C₂³	1	4	yes	—
276	#125×C₆₁	C₂³	1	2	yes	—
277	#125×C₆₁	C₂³	1	8	yes	—
278	#125×C₆₁	C₂³	1	4	yes	—
279	#125×C₆₁	C₂³	1	8	yes	—
280	#125×C₆₁	C₂³	1	8	yes	—
281	#125×C₆₁	C₂³	1	8	yes	—
282	#125×C₆₁	C₂³	1	8	yes	—
283	#125×C₆₁	C₂³	1	8	yes	—
284	#125×C₆₁	C₂³	1	2	yes	—
285	#125×C₆₁	C₂³	1	2	yes	—
286	#125×C₆₁	C₂³	1	4	yes	—
287	#125×C₆₁	C₂³	1	2	yes	—
288	#125×C₆₁	C₂³	1	4	yes	—
289	#124×C₆₁	C₂³	1	2	yes	—
290	#124×C₆₁	C₂³	1	4	yes	—
291	#124×C₆₁	C₂³	1	4	yes	—
292	#124×C₆₁	C₂³	1	2	yes	—
293	#124×C₆₁	C₂³	1	4	yes	—
294	#124×C₆₁	C₂³	1	8	yes	—
295	#124×C₆₁	C₂³	1	4	yes	—
296	#124×C₆₁	C₂³	1	8	yes	—
297	#124×C₆₁	C₂³	1	8	yes	—
298	#124×C₆₁	C₂³	1	8	yes	—
299	#124×C₆₁	C₂³	1	8	yes	—
300	#124×C₆₁	C₂³	1	2	yes	—
301	#124×C₆₁	C₂³	1	4	yes	—
302	#124×C₆₁	C₂³	1	8	yes	—
303	#124×C₆₁	C₂³	1	2	yes	—
304	#124×C₆₁	C₂³	1	4	yes	—
305	#124×C₆₁	C₂³	1	4	yes	—
306	#123×C₆₁	C₂³	1	4	yes	—
307	#123×C₆₁	C₂³	1	8	yes	—
308	#123×C₆₁	C₂³	1	8	yes	—
309	#123×C₆₁	C₂³	1	4	yes	—
310	#123×C₆₁	C₂³	1	8	yes	—
311	#123×C₆₁	C₂³	1	8	yes	—
312	#123×C₆₁	C₂³	1	4	yes	—
313	#123×C₆₁	C₂³	1	8	yes	—
314	#123×C₆₁	C₂³	1	4	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	8	yes	—
323	#123×C₆₁	C₂³	1	4	yes	—
324	#123×C₆₁	C₂³	1	4	yes	—
325	#123×C₆₁	C₂³	1	8	yes	—
326	#123×C₆₁	C₂³	1	4	yes	—
327	#123×C₆₁	C₂³	1	4	yes	—
328	#123×C₆₁	C₂³	1	8	yes	—
329	#123×C₆₁	C₂³	1	8	yes	—
330	#123×C₆₁	C₂³	1	4	yes	—
331	#123×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	4	yes	—
336	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
337	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
338	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
339	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
340	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
341	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
342	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
343	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
344	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
345	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
346	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
347	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
348	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
349	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
350	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
351	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
352	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
353	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
354	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
355	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
356	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
357	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
358	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
359	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
360	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
361	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
362	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
363	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
364	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
365	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
366	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
367	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
368	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
369	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
370	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
371	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
372	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
373	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
374	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
375	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
376	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
377	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
378	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
379	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
380	C₂²⋊Q₈×C₆₁	C₂³	1	8	yes	—
381	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
382	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
383	C₂²⋊Q₈×C₆₁	C₂³	1	4	yes	—
384	C₂²⋊Q₈×C₆₁	C₂³	1	2	yes	—
385	#121×C₆₁	C₂³	1	2	yes	—
386	#121×C₆₁	C₂³	1	2	yes	—
387	#121×C₆₁	C₂³	1	2	yes	—
388	#121×C₆₁	C₂³	1	4	yes	—
389	#121×C₆₁	C₂³	1	2	yes	—
390	#121×C₆₁	C₂³	1	4	yes	—
391	#121×C₆₁	C₂³	1	4	yes	—
392	#121×C₆₁	C₂³	1	2	yes	—
393	#121×C₆₁	C₂³	1	4	yes	—
394	#121×C₆₁	C₂³	1	2	yes	—
395	#121×C₆₁	C₂³	1	2	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	4	yes	—
400	#121×C₆₁	C₂³	1	8	yes	—
401	#121×C₆₁	C₂³	1	8	yes	—
402	#121×C₆₁	C₂³	1	4	yes	—
403	#121×C₆₁	C₂³	1	4	yes	—
404	#121×C₆₁	C₂³	1	2	yes	—
405	#121×C₆₁	C₂³	1	2	yes	—
406	#121×C₆₁	C₂³	1	2	yes	—
407	#121×C₆₁	C₂³	1	2	yes	—
408	#120×C₆₁	C₂³	1	4	yes	—
409	#120×C₆₁	C₂³	1	4	yes	—
410	#120×C₆₁	C₂³	1	8	yes	—
411	#120×C₆₁	C₂³	1	4	yes	—
412	#120×C₆₁	C₂³	1	4	yes	—
413	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
414	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
415	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
416	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
417	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
418	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
419	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
420	C₄×Q₈×C₆₁	C₂³	1	8	yes	—
421	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
422	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
423	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
424	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
425	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
426	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
427	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
428	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
429	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
430	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
431	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
432	C₄×Q₈×C₆₁	C₂³	1	2	yes	—
433	C₄×Q₈×C₆₁	C₂³	1	4	yes	—
434	C₄×D₄×C₆₁	C₂³	1	2	yes	—
435	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
436	C₄×D₄×C₆₁	C₂³	1	2	yes	—
437	C₄×D₄×C₆₁	C₂³	1	4	yes	—
438	C₄×D₄×C₆₁	C₂³	1	4	yes	—
439	C₄×D₄×C₆₁	C₂³	1	4	yes	—
440	C₄×D₄×C₆₁	C₂³	1	4	yes	—
441	C₄×D₄×C₆₁	C₂³	1	8	yes	—
442	C₄×D₄×C₆₁	C₂³	1	8	yes	—
443	C₄×D₄×C₆₁	C₂³	1	8	yes	—
444	C₄×D₄×C₆₁	C₂³	1	2	yes	—
445	C₄×D₄×C₆₁	C₂³	1	4	yes	—
446	C₄×D₄×C₆₁	C₂³	1	2	yes	—
447	C₄×D₄×C₆₁	C₂³	1	8	yes	—
448	C₄×D₄×C₆₁	C₂³	1	8	yes	—
449	C₄×D₄×C₆₁	C₂³	1	8	yes	—
450	C₄×D₄×C₆₁	C₂³	1	8	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	4	yes	—
455	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₆₁	C₂³	1	2	yes	—
457	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₆₁	C₂³	1	4	yes	—
459	C₄×D₄×C₆₁	C₂³	1	2	yes	—
460	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
461	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
462	C₄×D₄×C₆₁	C₂³	1	2	yes	—
463	C₄×D₄×C₆₁	C₂³	1	2	yes	—
464	C₄×D₄×C₆₁	C₂³	1	2	yes	—
465	C₄×D₄×C₆₁	C₂³	1	4	yes	—
466	C₄×D₄×C₆₁	C₂³	1	4	yes	—
467	C₄×D₄×C₆₁	C₂³	1	2	yes	—
468	C₄×D₄×C₆₁	C₂³	1	4	yes	—
469	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
470	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
471	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
472	C₄×D₄×C₆₁	C₂³	1	4	yes	—
473	C₄×D₄×C₆₁	C₂³	1	4	yes	—
474	C₄×D₄×C₆₁	C₂³	1	2	yes	—
475	#117×C₆₁	C₂³	1	2	yes	—
476	#117×C₆₁	C₂³	1	4	yes	—
477	#117×C₆₁	C₂³	1	4	yes	—
478	#117×C₆₁	C₂³	1	4	yes	—
479	#117×C₆₁	C₂³	1	8	yes	—
480	#117×C₆₁	C₂³	1	4	yes	—
481	#117×C₆₁	C₂³	1	1	yes	characteristic
482	#117×C₆₁	C₂³	1	4	yes	—
483	#117×C₆₁	C₂³	1	2	yes	—
484	#117×C₆₁	C₂³	1	4	yes	—
485	#117×C₆₁	C₂³	1	2	yes	—
486	#117×C₆₁	C₂³	1	2	yes	—
487	#117×C₆₁	C₂³	1	1	yes	characteristic
488	#117×C₆₁	C₂³	1	8	yes	—
489	#117×C₆₁	C₂³	1	4	yes	—
490	#117×C₆₁	C₂³	1	2	yes	—
491	#117×C₆₁	C₂³	1	8	yes	—
492	#117×C₆₁	C₂³	1	8	yes	—
493	#117×C₆₁	C₂³	1	4	yes	—
494	#117×C₆₁	C₂³	1	2	yes	—
495	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
496	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
497	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
498	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
499	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
500	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
501	C₂×C₄⋊C₄×C₆₁	C₂³	1	4	yes	—
502	C₂×C₄⋊C₄×C₆₁	C₂³	1	8	yes	—
503	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
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	2	yes	—
508	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
509	C₂×C₄⋊C₄×C₆₁	C₂³	1	2	yes	—
510	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
511	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
512	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	yes	—
513	C₂×C₂²⋊C₄×C₆₁	C₂³	1	2	yes	—
514	C₂×C₂²⋊C₄×C₆₁	C₂³	1	4	yes	—
515	C₂×C₂²⋊C₄×C₆₁	C₂³	1	8	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	4	yes	—
520	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
521	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
522	C₂⁴×C₆₁	C₂⁴	1	2	yes	—
523	C₂⁴×C₆₁	C₂⁴	1	4	yes	—
524	#41×C₆₁	—	2	8	no	—
525	#41×C₆₁	—	2	4	no	—
526	#41×C₆₁	—	2	8	no	—
527	#41×C₆₁	—	2	4	no	—
528	#41×C₆₁	—	4	8	no	—
529	#41×C₆₁	—	4	8	no	—
530	#41×C₆₁	—	4	16	no	—
531	#41×C₆₁	—	4	4	no	—
532	#41×C₆₁	—	4	4	no	—
533	#41×C₆₁	—	4	8	no	—
534	#41×C₆₁	—	4	8	no	—
535	C₂×Q₈×C₆₁	—	2	4	no	—
536	C₂×Q₈×C₆₁	—	2	8	no	—
537	C₂×Q₈×C₆₁	—	4	8	no	—
538	C₂×Q₈×C₆₁	—	4	8	no	—
539	C₂×Q₈×C₆₁	—	4	8	no	—
540	C₂×Q₈×C₆₁	—	4	8	no	—
541	C₂×Q₈×C₆₁	—	4	8	no	—
542	C₂×Q₈×C₆₁	—	4	4	no	—
543	C₂×Q₈×C₆₁	—	4	8	no	—
544	C₂×Q₈×C₆₁	—	4	8	no	—
545	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
546	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
548	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
549	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
550	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
551	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
552	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
553	C₂×Q₈×C₆₁	C₂⁴	1	2	yes	—
554	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
555	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
556	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
557	C₂×Q₈×C₆₁	C₂⁴	1	8	yes	—
558	C₂×Q₈×C₆₁	C₂⁴	1	4	yes	—
559	C₂×D₄×C₆₁	—	2	4	no	—
560	C₂×D₄×C₆₁	—	2	8	no	—
561	C₂×D₄×C₆₁	—	4	4	no	—
562	C₂×D₄×C₆₁	—	4	8	no	—
563	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
564	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
565	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
566	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
567	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
568	C₂×D₄×C₆₁	C₂⁴	1	2	yes	—
569	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
570	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
571	C₂×D₄×C₆₁	C₂⁴	1	2	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	4	yes	—
577	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
578	C₂×D₄×C₆₁	C₂⁴	1	8	yes	—
579	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
580	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
581	C₂×D₄×C₆₁	C₂⁴	1	4	yes	—
582	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₆₁	—	2	8	no	—
584	C₂²×C₄×C₆₁	—	4	8	no	—
585	C₂²×C₄×C₆₁	—	4	8	no	—
586	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
588	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
589	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
590	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
591	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
592	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
593	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
594	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
595	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
596	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
597	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
598	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
599	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
600	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
601	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
602	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
603	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
604	C₂²×C₄×C₆₁	C₂⁴	1	2	yes	—
605	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
606	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
607	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
608	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
609	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
610	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
611	C₂²×C₄×C₆₁	C₂⁴	1	4	yes	—
612	C₂²×C₄×C₆₁	C₂⁴	1	8	yes	—
613	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
615	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
616	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
618	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
621	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
622	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
623	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
624	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
625	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
626	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
627	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
628	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
629	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
630	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
631	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
632	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
633	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
634	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
635	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
636	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
637	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
638	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
639	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
640	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
641	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
642	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
643	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
644	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
645	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
646	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
647	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
648	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
649	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
650	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
651	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
652	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
653	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
654	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
655	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
656	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
657	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
658	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
659	C₄⋊C₄×C₆₁	C₂⁴	1	2	yes	—
660	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
661	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
662	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
663	C₄⋊C₄×C₆₁	C₂⁴	1	8	yes	—
664	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
665	C₄⋊C₄×C₆₁	C₂⁴	1	4	yes	—
666	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
667	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
668	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
669	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
670	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
671	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
672	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
673	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
674	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
675	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
676	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
677	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
678	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
679	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
680	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
681	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
682	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
683	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
684	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
685	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
686	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
687	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
688	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
689	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
690	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
691	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
692	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
693	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
694	C₂²⋊C₄×C₆₁	C₂⁴	1	8	yes	—
695	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
696	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
697	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
698	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
699	C₂²⋊C₄×C₆₁	C₂⁴	1	2	yes	—
700	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
701	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
702	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
703	C₂²⋊C₄×C₆₁	C₂⁴	1	4	yes	—
704	C₄²×C₆₁	C₂⁴	1	2	yes	—
705	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
706	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
707	C₄²×C₆₁	C₂⁴	1	4	yes	—
708	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
709	C₄²×C₆₁	C₂⁴	1	2	yes	—
710	C₄²×C₆₁	C₂⁴	1	2	yes	—
711	C₄²×C₆₁	C₂⁴	1	4	yes	—
712	C₄²×C₆₁	C₂⁴	1	4	yes	—
713	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
714	C₄²×C₆₁	C₂⁴	1	2	yes	—
715	C₄²×C₆₁	C₂⁴	1	2	yes	—
716	C₄²×C₆₁	C₂⁴	1	4	yes	—
717	C₄²×C₆₁	C₂⁴	1	4	yes	—
718	C₄²×C₆₁	C₂⁴	1	2	yes	—
719	C₄²×C₆₁	C₂⁴	1	8	yes	—
720	C₄²×C₆₁	C₂⁴	1	8	yes	—
721	C₄²×C₆₁	C₂⁴	1	8	yes	—
722	C₂³×C₆₁	—	2	4	no	—
723	C₂³×C₆₁	—	2	4	no	—
724	C₂³×C₆₁	—	2	8	no	—
725	C₂³×C₆₁	—	4	2	no	—
726	C₂³×C₆₁	—	4	4	no	—
727	C₂³×C₆₁	—	4	4	no	—
728	C₂³×C₆₁	C₂⁵	1	2	yes	—
729	C₂³×C₆₁	C₂⁵	1	2	yes	—
730	C₂³×C₆₁	C₂⁵	1	4	yes	—
731	C₂³×C₆₁	C₂⁵	1	2	yes	—
732	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
733	C₂³×C₆₁	C₂⁵	1	2	yes	—
734	Q₈×C₆₁	—	2	4	no	—
735	Q₈×C₆₁	—	2	4	no	—
736	Q₈×C₆₁	—	2	8	no	—
737	Q₈×C₆₁	—	2	8	no	—
738	Q₈×C₆₁	—	2	2	no	—
739	Q₈×C₆₁	—	2	4	no	—
740	Q₈×C₆₁	—	2	2	no	—
741	Q₈×C₆₁	—	2	4	no	—
742	Q₈×C₆₁	—	4	8	no	—
743	Q₈×C₆₁	—	4	8	no	—
744	Q₈×C₆₁	—	4	8	no	—
745	Q₈×C₆₁	—	4	4	no	—
746	Q₈×C₆₁	—	4	2	no	—
747	Q₈×C₆₁	—	4	4	no	—
748	D₄×C₆₁	—	2	4	no	—
749	D₄×C₆₁	—	2	8	no	—
750	D₄×C₆₁	—	2	4	no	—
751	D₄×C₆₁	—	2	4	no	—
752	D₄×C₆₁	—	2	8	no	—
753	D₄×C₆₁	—	2	8	no	—
754	D₄×C₆₁	—	2	2	no	—
755	D₄×C₆₁	—	2	4	no	—
756	D₄×C₆₁	—	2	2	no	—
757	D₄×C₆₁	—	2	2	no	—
758	D₄×C₆₁	—	2	4	no	—
759	D₄×C₆₁	—	4	4	no	—
760	D₄×C₆₁	—	4	4	no	—
761	D₄×C₆₁	—	4	4	no	—
762	D₄×C₆₁	—	4	2	no	—
763	D₄×C₆₁	—	4	4	no	—
764	D₄×C₆₁	—	4	4	no	—
765	D₄×C₆₁	—	4	4	no	—
766	D₄×C₆₁	—	4	8	no	—
767	D₄×C₆₁	2₋¹⁺⁴	1	4	yes	complemented
768	C₂×C₄×C₆₁	—	2	4	no	—
769	C₂×C₄×C₆₁	—	2	4	no	—
770	C₂×C₄×C₆₁	—	2	8	no	—
771	C₂×C₄×C₆₁	—	2	8	no	—
772	C₂×C₄×C₆₁	—	2	4	no	—
773	C₂×C₄×C₆₁	—	2	4	no	—
774	C₂×C₄×C₆₁	—	2	4	no	—
775	C₂×C₄×C₆₁	—	2	4	no	—
776	C₂×C₄×C₆₁	—	2	4	no	—
777	C₂×C₄×C₆₁	—	2	8	no	—
778	C₂×C₄×C₆₁	—	2	4	no	—
779	C₂×C₄×C₆₁	—	2	2	no	—
780	C₂×C₄×C₆₁	—	2	4	no	—
781	C₂×C₄×C₆₁	—	2	4	no	—
782	C₂×C₄×C₆₁	—	4	4	no	—
783	C₂×C₄×C₆₁	—	4	8	no	—
784	C₂×C₄×C₆₁	—	4	8	no	—
785	C₂×C₄×C₆₁	—	4	4	no	—
786	C₂×C₄×C₆₁	—	4	4	no	—
787	C₂×C₄×C₆₁	—	4	1	no	—
788	C₂×C₄×C₆₁	—	4	2	no	—
789	C₂×C₄×C₆₁	—	4	2	no	—
790	C₂×C₄×C₆₁	—	4	8	no	—
791	C₂×C₄×C₆₁	—	4	4	no	—
792	C₂×C₄×C₆₁	—	4	2	no	—
793	C₂×C₄×C₆₁	—	4	8	no	—
794	C₂×C₄×C₆₁	—	4	8	no	—
795	C₂×C₄×C₆₁	H(5,𝔽₂)	1	4	yes	—
796	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
797	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
798	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
799	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
800	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
801	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
802	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
803	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
804	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
805	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
806	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
807	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
808	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
809	C₂×C₄×C₆₁	C₂⁵	1	8	yes	—
810	C₂×C₄×C₆₁	C₂⁵	1	4	yes	—
811	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
812	C₂×C₄×C₆₁	C₂⁵	1	2	yes	—
813	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
814	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
815	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
816	#62942	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
817	C₂²×C₆₁	—	2	2	no	—
818	C₂²×C₆₁	—	2	1	no	—
819	C₂²×C₆₁	—	2	1	no	—
820	C₂²×C₆₁	—	2	2	no	—
821	C₂²×C₆₁	—	2	2	no	—
822	C₂²×C₆₁	—	2	2	no	—
823	C₂²×C₆₁	—	2	4	no	—
824	C₂²×C₆₁	—	2	2	no	—
825	C₂²×C₆₁	—	2	2	no	—
826	C₂²×C₆₁	—	2	2	no	—
827	C₂²×C₆₁	—	2	2	no	—
828	C₂²×C₆₁	—	2	4	no	—
829	C₂²×C₆₁	—	2	4	no	—
830	C₂²×C₆₁	—	2	2	no	—
831	C₂²×C₆₁	—	2	2	no	—
832	C₂²×C₆₁	—	2	2	no	—
833	C₂²×C₆₁	—	4	8	no	—
834	C₂²×C₆₁	—	8	8	no	—
835	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
836	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	4	yes	—
837	C₂²×C₆₁	C₂⁶	1	1	yes	characteristic
838	C₄×C₆₁	—	2	2	no	—
839	C₄×C₆₁	—	2	2	no	—
840	C₄×C₆₁	—	2	2	no	—
841	C₄×C₆₁	—	2	4	no	—
842	C₄×C₆₁	—	2	2	no	—
843	C₄×C₆₁	—	2	8	no	—
844	C₄×C₆₁	—	2	4	no	—
845	C₄×C₆₁	—	2	2	no	—
846	C₄×C₆₁	—	2	1	no	—
847	C₄×C₆₁	—	2	2	no	—
848	C₄×C₆₁	—	2	4	no	—
849	C₄×C₆₁	—	2	1	no	—
850	C₄×C₆₁	—	2	4	no	—
851	C₄×C₆₁	—	2	4	no	—
852	C₄×C₆₁	—	2	1	no	—
853	C₄×C₆₁	—	2	2	no	—
854	C₄×C₆₁	—	2	2	no	—
855	C₄×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
856	C₄×C₆₁	C₂×H(5,𝔽₂)	1	2	yes	—
857	C₄×C₆₁	C₂×2₋¹⁺⁴	1	2	yes	—
858	#3561	C₂×C₆₁	1	4	yes	complemented
859	#3554	C₂×C₆₁	1	2	yes	complemented
860	#3552	C₂×C₆₁	1	2	yes	complemented
861	#3552	C₂×C₆₁	1	4	yes	complemented
862	#3550	C₂×C₆₁	1	2	yes	complemented
863	#3547	C₂×C₆₁	1	2	yes	complemented
864	#3544	C₂×C₆₁	1	4	yes	complemented
865	#3541	C₂×C₆₁	1	4	yes	complemented
866	#3538	C₂×C₆₁	1	4	yes	complemented
867	#3535	C₂×C₆₁	1	8	yes	complemented
868	#3520	C₂×C₆₁	1	2	yes	complemented
869	#3514	C₂×C₆₁	1	2	yes	complemented
870	#3513	C₂×C₆₁	1	4	yes	complemented
871	#3509	C₂×C₆₁	1	1	yes	characteristic, complemented
872	#3507	C₂×C₆₁	1	1	yes	characteristic, complemented
873	#3503	C₂×C₆₁	1	2	yes	complemented
874	#3501	C₂×C₆₁	1	2	yes	complemented
875	#3499	C₂×C₆₁	1	1	yes	characteristic, complemented
876	#3495	C₂×C₆₁	1	2	yes	complemented
877	#3489	C₂×C₆₁	1	2	yes	complemented
878	#3486	C₂×C₆₁	1	2	yes	complemented
879	#3475	C₂×C₆₁	1	1	yes	characteristic, complemented
880	D₄×#41	C₂×C₆₁	1	1	yes	characteristic, complemented
881	C₂×D₄×Q₈	C₂×C₆₁	1	1	yes	characteristic, complemented
882	#3461	C₂×C₆₁	1	1	yes	characteristic, complemented
883	C₂×#536	C₂×C₆₁	1	2	yes	complemented
884	C₂×C₆₁	—	2	2	no	—
885	C₂×C₆₁	—	2	4	no	—
886	C₂×C₆₁	—	4	2	no	—
887	C₂×C₆₁	—	4	2	no	—
888	C₂×C₆₁	—	4	4	no	—
889	C₂×C₆₁	—	4	2	no	—
890	C₂×C₆₁	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
891	C₂×C₆₁	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
892	C₂×C₆₁	2₋¹⁺⁶	1	1	yes	characteristic
893	C₂×2₋¹⁺⁴	C₂²×C₆₁	1	2	yes	complemented
894	C₂²×#41	C₂²×C₆₁	1	2	yes	—
895	C₂³×Q₈	C₂²×C₆₁	1	2	yes	complemented
896	#563	C₂²×C₆₁	1	8	yes	complemented
897	#563	C₂²×C₆₁	1	8	yes	complemented
898	#563	C₂²×C₆₁	1	8	yes	complemented
899	#563	C₂²×C₆₁	1	8	yes	complemented
900	#562	C₂²×C₆₁	1	8	yes	complemented
901	#562	C₂²×C₆₁	1	8	yes	complemented
902	#559	C₂²×C₆₁	1	2	yes	complemented
903	#559	C₂²×C₆₁	1	4	yes	complemented
904	Q₈²	C₂²×C₆₁	1	4	yes	complemented
905	#557	C₂²×C₆₁	1	2	yes	complemented
906	#557	C₂²×C₆₁	1	2	yes	complemented
907	#557	C₂²×C₆₁	1	2	yes	complemented
908	#556	C₂²×C₆₁	1	1	yes	characteristic, complemented
909	#556	C₂²×C₆₁	1	4	yes	complemented
910	#556	C₂²×C₆₁	1	2	yes	complemented
911	#556	C₂²×C₆₁	1	4	yes	complemented
912	#556	C₂²×C₆₁	1	2	yes	complemented
913	#556	C₂²×C₆₁	1	2	yes	complemented
914	#555	C₂²×C₆₁	1	1	yes	characteristic, complemented
915	#555	C₂²×C₆₁	1	4	yes	complemented
916	#554	C₂²×C₆₁	1	1	yes	characteristic
917	#554	C₂²×C₆₁	1	4	yes	—
918	#554	C₂²×C₆₁	1	4	yes	complemented
919	#554	C₂²×C₆₁	1	2	yes	complemented
920	#554	C₂²×C₆₁	1	8	yes	complemented
921	#554	C₂²×C₆₁	1	4	yes	complemented
922	#554	C₂²×C₆₁	1	8	yes	complemented
923	#554	C₂²×C₆₁	1	4	yes	complemented
924	#553	C₂²×C₆₁	1	2	yes	complemented
925	#553	C₂²×C₆₁	1	8	yes	complemented
926	#553	C₂²×C₆₁	1	4	yes	complemented
927	#552	C₂²×C₆₁	1	2	yes	complemented
928	#552	C₂²×C₆₁	1	2	yes	complemented
929	#552	C₂²×C₆₁	1	4	yes	complemented
930	#552	C₂²×C₆₁	1	8	yes	complemented
931	#552	C₂²×C₆₁	1	4	yes	complemented
932	#552	C₂²×C₆₁	1	4	yes	complemented
933	#552	C₂²×C₆₁	1	4	yes	complemented
934	#552	C₂²×C₆₁	1	4	yes	complemented
935	#551	C₂²×C₆₁	1	4	yes	complemented
936	#551	C₂²×C₆₁	1	8	yes	complemented
937	#551	C₂²×C₆₁	1	8	yes	complemented
938	#551	C₂²×C₆₁	1	8	yes	complemented
939	#551	C₂²×C₆₁	1	8	yes	complemented
940	#550	C₂²×C₆₁	1	1	yes	characteristic
941	D₄×Q₈	C₂²×C₆₁	1	2	yes	—
942	D₄×Q₈	C₂²×C₆₁	1	2	yes	—
943	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
944	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
945	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
946	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
947	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
948	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
949	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
950	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
951	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
952	D₄×Q₈	C₂²×C₆₁	1	4	yes	complemented
953	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
954	D₄×Q₈	C₂²×C₆₁	1	2	yes	complemented
955	#548	C₂²×C₆₁	1	2	yes	—
956	#548	C₂²×C₆₁	1	4	yes	complemented
957	#548	C₂²×C₆₁	1	4	yes	complemented
958	#548	C₂²×C₆₁	1	4	yes	complemented
959	#548	C₂²×C₆₁	1	4	yes	complemented
960	#548	C₂²×C₆₁	1	4	yes	complemented
961	#547	C₂²×C₆₁	1	2	yes	—
962	#547	C₂²×C₆₁	1	1	yes	characteristic
963	#547	C₂²×C₆₁	1	1	yes	characteristic
964	#547	C₂²×C₆₁	1	8	yes	complemented
965	#547	C₂²×C₆₁	1	4	yes	complemented
966	#547	C₂²×C₆₁	1	4	yes	complemented
967	#547	C₂²×C₆₁	1	2	yes	complemented
968	#547	C₂²×C₆₁	1	4	yes	complemented
969	#547	C₂²×C₆₁	1	2	yes	complemented
970	#546	C₂²×C₆₁	1	4	yes	—
971	#546	C₂²×C₆₁	1	2	yes	—
972	#546	C₂²×C₆₁	1	2	yes	—
973	#546	C₂²×C₆₁	1	4	yes	—
974	#546	C₂²×C₆₁	1	8	yes	complemented
975	#546	C₂²×C₆₁	1	4	yes	complemented
976	D₄²	C₂²×C₆₁	1	2	yes	—
977	D₄²	C₂²×C₆₁	1	1	yes	characteristic
978	#544	C₂²×C₆₁	1	1	yes	characteristic, complemented
979	#544	C₂²×C₆₁	1	4	yes	complemented
980	#544	C₂²×C₆₁	1	8	yes	complemented
981	#544	C₂²×C₆₁	1	4	yes	complemented
982	#544	C₂²×C₆₁	1	8	yes	complemented
983	#543	C₂²×C₆₁	1	8	yes	complemented
984	#542	C₂²×C₆₁	1	2	yes	complemented
985	#542	C₂²×C₆₁	1	2	yes	complemented
986	#542	C₂²×C₆₁	1	4	yes	complemented
987	#542	C₂²×C₆₁	1	4	yes	complemented
988	#542	C₂²×C₆₁	1	4	yes	complemented
989	#542	C₂²×C₆₁	1	4	yes	complemented
990	#542	C₂²×C₆₁	1	8	yes	complemented
991	#542	C₂²×C₆₁	1	8	yes	complemented
992	#542	C₂²×C₆₁	1	8	yes	complemented
993	#541	C₂²×C₆₁	1	2	yes	complemented
994	#541	C₂²×C₆₁	1	2	yes	complemented
995	#541	C₂²×C₆₁	1	4	yes	complemented
996	#541	C₂²×C₆₁	1	4	yes	complemented
997	#540	C₂²×C₆₁	1	4	yes	complemented
998	#539	C₂²×C₆₁	1	4	yes	complemented
999	#539	C₂²×C₆₁	1	4	yes	complemented
1000	#539	C₂²×C₆₁	1	8	yes	complemented
1001	#539	C₂²×C₆₁	1	8	yes	complemented
1002	#539	C₂²×C₆₁	1	8	yes	complemented
1003	#539	C₂²×C₆₁	1	8	yes	complemented
1004	#538	C₂²×C₆₁	1	8	yes	complemented
1005	#538	C₂²×C₆₁	1	8	yes	complemented
1006	#537	C₂²×C₆₁	1	1	yes	characteristic
1007	#537	C₂²×C₆₁	1	4	yes	complemented
1008	#536	C₂²×C₆₁	1	1	yes	characteristic
1009	#536	C₂²×C₆₁	1	2	yes	—
1010	#536	C₂²×C₆₁	1	2	yes	complemented
1011	#536	C₂²×C₆₁	1	2	yes	complemented
1012	#536	C₂²×C₆₁	1	8	yes	complemented
1013	#536	C₂²×C₆₁	1	4	yes	complemented
1014	#536	C₂²×C₆₁	1	4	yes	complemented
1015	#536	C₂²×C₆₁	1	4	yes	complemented
1016	#536	C₂²×C₆₁	1	4	yes	complemented
1017	#536	C₂²×C₆₁	1	1	yes	characteristic, complemented
1018	#536	C₂²×C₆₁	1	8	yes	complemented
1019	#536	C₂²×C₆₁	1	4	yes	complemented
1020	#536	C₂²×C₆₁	1	4	yes	complemented
1021	#533	C₂²×C₆₁	1	2	yes	complemented
1022	#533	C₂²×C₆₁	1	2	yes	complemented
1023	#533	C₂²×C₆₁	1	1	yes	characteristic, complemented
1024	#533	C₂²×C₆₁	1	4	yes	complemented
1025	#533	C₂²×C₆₁	1	2	yes	complemented
1026	#533	C₂²×C₆₁	1	2	yes	complemented
1027	#532	C₂²×C₆₁	1	1	yes	characteristic
1028	#532	C₂²×C₆₁	1	2	yes	—
1029	#532	C₂²×C₆₁	1	2	yes	complemented
1030	C₂×C₄⋊Q₈	C₂²×C₆₁	1	4	yes	complemented
1031	C₂×C₄⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1032	C₂×C₄⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
1033	C₂×C₄⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
1034	#529	C₂²×C₆₁	1	4	yes	complemented
1035	#529	C₂²×C₆₁	1	2	yes	complemented
1036	#529	C₂²×C₆₁	1	2	yes	complemented
1037	#529	C₂²×C₆₁	1	2	yes	complemented
1038	#529	C₂²×C₆₁	1	4	yes	complemented
1039	#529	C₂²×C₆₁	1	4	yes	complemented
1040	#529	C₂²×C₆₁	1	4	yes	complemented
1041	C₂×#124	C₂²×C₆₁	1	4	yes	complemented
1042	#525	C₂²×C₆₁	1	2	yes	—
1043	#525	C₂²×C₆₁	1	4	yes	—
1044	#525	C₂²×C₆₁	1	2	yes	complemented
1045	#525	C₂²×C₆₁	1	8	yes	complemented
1046	#525	C₂²×C₆₁	1	4	yes	complemented
1047	C₂×#123	C₂²×C₆₁	1	8	yes	complemented
1048	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	complemented
1049	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	complemented
1050	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	2	yes	complemented
1051	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	complemented
1052	C₂×C₂²⋊Q₈	C₂²×C₆₁	1	4	yes	complemented
1053	#520	C₂²×C₆₁	1	4	yes	—
1054	#520	C₂²×C₆₁	1	2	yes	complemented
1055	#519	C₂²×C₆₁	1	2	yes	complemented
1056	#518	C₂²×C₆₁	1	4	yes	—
1057	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
1058	C₄×#41	C₂²×C₆₁	1	2	yes	—
1059	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic, complemented
1060	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1061	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
1062	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	—
1063	C₂×C₄×D₄	C₂²×C₆₁	1	2	yes	—
1064	C₂×#117	C₂²×C₆₁	1	2	yes	complemented
1065	C₆₁	#62942	1	1	yes	characteristic, direct product factor, Sylow
1066	2₋¹⁺⁴	—	4	8	no	—
1067	C₂×#41	—	4	8	no	—
1068	C₂×#41	C₂³×C₆₁	1	2	yes	—
1069	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1070	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1071	C₂×#41	C₂³×C₆₁	1	2	yes	—
1072	C₂×#41	C₂³×C₆₁	1	4	yes	—
1073	C₂×#41	C₂³×C₆₁	1	8	yes	—
1074	C₂×#41	C₂³×C₆₁	1	4	yes	—
1075	C₂×#41	C₂³×C₆₁	1	4	yes	—
1076	C₂×#41	C₂³×C₆₁	1	4	yes	—
1077	C₂×#41	C₂³×C₆₁	1	2	yes	—
1078	C₂×#41	C₂³×C₆₁	1	2	yes	—
1079	C₂²×Q₈	—	4	8	no	—
1080	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1081	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
1082	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
1083	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
1084	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
1085	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
1086	C₂²×Q₈	C₂³×C₆₁	1	2	yes	—
1087	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
1088	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
1089	C₂²×Q₈	C₂³×C₆₁	1	4	yes	—
1090	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1091	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
1092	C₂²×D₄	C₂³×C₆₁	1	4	yes	—
1093	C₂²×D₄	C₂³×C₆₁	1	2	yes	—
1094	C₂³×C₄	C₂³×C₆₁	1	2	yes	—
1095	C₂³×C₄	C₂³×C₆₁	1	4	yes	—
1096	C₂³×C₄	C₂³×C₆₁	1	4	yes	—
1097	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1098	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1099	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1100	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1101	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1102	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1103	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1104	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1105	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1106	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1107	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1108	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1109	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1110	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1111	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1112	C₄⋊Q₈	C₂³×C₆₁	1	4	yes	—
1113	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1114	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1115	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1116	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1117	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1118	C₄⋊Q₈	C₂³×C₆₁	1	2	yes	—
1119	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1120	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1121	C₄⋊Q₈	C₂³×C₆₁	1	8	yes	—
1122	#127	C₂³×C₆₁	1	1	yes	characteristic
1123	#127	C₂³×C₆₁	1	2	yes	—
1124	#126	C₂³×C₆₁	1	8	yes	—
1125	#126	C₂³×C₆₁	1	8	yes	—
1126	#126	C₂³×C₆₁	1	4	yes	—
1127	#126	C₂³×C₆₁	1	4	yes	—
1128	#126	C₂³×C₆₁	1	4	yes	—
1129	#126	C₂³×C₆₁	1	4	yes	—
1130	#126	C₂³×C₆₁	1	4	yes	—
1131	#126	C₂³×C₆₁	1	4	yes	—
1132	#126	C₂³×C₆₁	1	4	yes	—
1133	#126	C₂³×C₆₁	1	8	yes	—
1134	#126	C₂³×C₆₁	1	8	yes	—
1135	#126	C₂³×C₆₁	1	8	yes	—
1136	#126	C₂³×C₆₁	1	8	yes	—
1137	#126	C₂³×C₆₁	1	8	yes	—
1138	#126	C₂³×C₆₁	1	8	yes	—
1139	#125	C₂³×C₆₁	1	2	yes	—
1140	#125	C₂³×C₆₁	1	4	yes	—
1141	#125	C₂³×C₆₁	1	2	yes	—
1142	#125	C₂³×C₆₁	1	4	yes	—
1143	#125	C₂³×C₆₁	1	2	yes	—
1144	#125	C₂³×C₆₁	1	4	yes	—
1145	#125	C₂³×C₆₁	1	4	yes	—
1146	#125	C₂³×C₆₁	1	4	yes	—
1147	#125	C₂³×C₆₁	1	4	yes	—
1148	#125	C₂³×C₆₁	1	4	yes	—
1149	#125	C₂³×C₆₁	1	2	yes	—
1150	#125	C₂³×C₆₁	1	8	yes	—
1151	#125	C₂³×C₆₁	1	8	yes	—
1152	#125	C₂³×C₆₁	1	8	yes	—
1153	#125	C₂³×C₆₁	1	8	yes	—
1154	#125	C₂³×C₆₁	1	8	yes	—
1155	#125	C₂³×C₆₁	1	8	yes	—
1156	#124	C₂³×C₆₁	1	2	yes	—
1157	#124	C₂³×C₆₁	1	4	yes	—
1158	#124	C₂³×C₆₁	1	4	yes	—
1159	#124	C₂³×C₆₁	1	8	yes	—
1160	#124	C₂³×C₆₁	1	4	yes	—
1161	#124	C₂³×C₆₁	1	8	yes	—
1162	#124	C₂³×C₆₁	1	2	yes	—
1163	#124	C₂³×C₆₁	1	4	yes	—
1164	#124	C₂³×C₆₁	1	2	yes	—
1165	#124	C₂³×C₆₁	1	4	yes	—
1166	#124	C₂³×C₆₁	1	4	yes	—
1167	#124	C₂³×C₆₁	1	2	yes	—
1168	#124	C₂³×C₆₁	1	4	yes	—
1169	#124	C₂³×C₆₁	1	8	yes	—
1170	#124	C₂³×C₆₁	1	8	yes	—
1171	#124	C₂³×C₆₁	1	8	yes	—
1172	#124	C₂³×C₆₁	1	8	yes	—
1173	#123	C₂³×C₆₁	1	4	yes	—
1174	#123	C₂³×C₆₁	1	8	yes	—
1175	#123	C₂³×C₆₁	1	8	yes	—
1176	#123	C₂³×C₆₁	1	8	yes	—
1177	#123	C₂³×C₆₁	1	8	yes	—
1178	#123	C₂³×C₆₁	1	8	yes	—
1179	#123	C₂³×C₆₁	1	8	yes	—
1180	#123	C₂³×C₆₁	1	8	yes	—
1181	#123	C₂³×C₆₁	1	4	yes	—
1182	#123	C₂³×C₆₁	1	4	yes	—
1183	#123	C₂³×C₆₁	1	4	yes	—
1184	#123	C₂³×C₆₁	1	4	yes	—
1185	#123	C₂³×C₆₁	1	4	yes	—
1186	#123	C₂³×C₆₁	1	8	yes	—
1187	#123	C₂³×C₆₁	1	4	yes	—
1188	#123	C₂³×C₆₁	1	4	yes	—
1189	#123	C₂³×C₆₁	1	8	yes	—
1190	#123	C₂³×C₆₁	1	4	yes	—
1191	#123	C₂³×C₆₁	1	4	yes	—
1192	#123	C₂³×C₆₁	1	4	yes	—
1193	#123	C₂³×C₆₁	1	8	yes	—
1194	#123	C₂³×C₆₁	1	8	yes	—
1195	#123	C₂³×C₆₁	1	8	yes	—
1196	#123	C₂³×C₆₁	1	8	yes	—
1197	#123	C₂³×C₆₁	1	8	yes	—
1198	#123	C₂³×C₆₁	1	8	yes	—
1199	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1200	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1201	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1202	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1203	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1204	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1205	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1206	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1207	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1208	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1209	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1210	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1211	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1212	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1213	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1214	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1215	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1216	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1217	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1218	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1219	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1220	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1221	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1222	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1223	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1224	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1225	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1226	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1227	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1228	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1229	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1230	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1231	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1232	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1233	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1234	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1235	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1236	C₂²⋊Q₈	C₂³×C₆₁	1	2	yes	—
1237	C₂²⋊Q₈	C₂³×C₆₁	1	8	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	4	yes	—
1242	C₂²⋊Q₈	C₂³×C₆₁	1	4	yes	—
1243	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1244	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1245	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1246	C₂²⋊Q₈	C₂³×C₆₁	1	8	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	C₂²⋊Q₈	C₂³×C₆₁	1	8	yes	—
1251	C₂²⋊Q₈	C₂³×C₆₁	1	8	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	2	yes	—
1256	#121	C₂³×C₆₁	1	2	yes	—
1257	#121	C₂³×C₆₁	1	2	yes	—
1258	#121	C₂³×C₆₁	1	2	yes	—
1259	#121	C₂³×C₆₁	1	8	yes	—
1260	#121	C₂³×C₆₁	1	8	yes	—
1261	#121	C₂³×C₆₁	1	2	yes	—
1262	#121	C₂³×C₆₁	1	4	yes	—
1263	#121	C₂³×C₆₁	1	2	yes	—
1264	#121	C₂³×C₆₁	1	4	yes	—
1265	#121	C₂³×C₆₁	1	2	yes	—
1266	#121	C₂³×C₆₁	1	2	yes	—
1267	#121	C₂³×C₆₁	1	2	yes	—
1268	#121	C₂³×C₆₁	1	2	yes	—
1269	#121	C₂³×C₆₁	1	4	yes	—
1270	#121	C₂³×C₆₁	1	4	yes	—
1271	#121	C₂³×C₆₁	1	4	yes	—
1272	#121	C₂³×C₆₁	1	8	yes	—
1273	#121	C₂³×C₆₁	1	8	yes	—
1274	#121	C₂³×C₆₁	1	8	yes	—
1275	#120	C₂³×C₆₁	1	4	yes	—
1276	#120	C₂³×C₆₁	1	4	yes	—
1277	#120	C₂³×C₆₁	1	4	yes	—
1278	#120	C₂³×C₆₁	1	4	yes	—
1279	#120	C₂³×C₆₁	1	8	yes	—
1280	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1281	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1282	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1283	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1284	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1285	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1286	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1287	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1288	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1289	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1290	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1291	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1292	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1293	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1294	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1295	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1296	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1297	C₄×Q₈	C₂³×C₆₁	1	2	yes	—
1298	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1299	C₄×Q₈	C₂³×C₆₁	1	4	yes	—
1300	C₄×Q₈	C₂³×C₆₁	1	8	yes	—
1301	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1302	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1303	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1304	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1305	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1306	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1307	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1308	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1309	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1310	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1311	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1312	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1313	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1314	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1315	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1316	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1317	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1318	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1319	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1320	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1321	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1322	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1323	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1324	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1325	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1326	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1327	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1328	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1329	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1330	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1331	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1332	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1333	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1334	C₄×D₄	C₂³×C₆₁	1	2	yes	—
1335	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1336	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1337	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1338	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1339	C₄×D₄	C₂³×C₆₁	1	8	yes	—
1340	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1341	C₄×D₄	C₂³×C₆₁	1	4	yes	—
1342	#117	C₂³×C₆₁	1	1	yes	characteristic
1343	#117	C₂³×C₆₁	1	2	yes	—
1344	#117	C₂³×C₆₁	1	4	yes	—
1345	#117	C₂³×C₆₁	1	4	yes	—
1346	#117	C₂³×C₆₁	1	2	yes	—
1347	#117	C₂³×C₆₁	1	2	yes	—
1348	#117	C₂³×C₆₁	1	1	yes	characteristic
1349	#117	C₂³×C₆₁	1	2	yes	—
1350	#117	C₂³×C₆₁	1	4	yes	—
1351	#117	C₂³×C₆₁	1	2	yes	—
1352	#117	C₂³×C₆₁	1	2	yes	—
1353	#117	C₂³×C₆₁	1	4	yes	—
1354	#117	C₂³×C₆₁	1	4	yes	—
1355	#117	C₂³×C₆₁	1	8	yes	—
1356	#117	C₂³×C₆₁	1	4	yes	—
1357	#117	C₂³×C₆₁	1	8	yes	—
1358	#117	C₂³×C₆₁	1	4	yes	—
1359	#117	C₂³×C₆₁	1	8	yes	—
1360	#117	C₂³×C₆₁	1	8	yes	—
1361	#117	C₂³×C₆₁	1	4	yes	—
1362	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1363	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1364	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1365	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1366	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1367	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1368	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1369	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1370	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1371	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1372	C₂×C₄⋊C₄	C₂³×C₆₁	1	2	yes	—
1373	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1374	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1375	C₂×C₄⋊C₄	C₂³×C₆₁	1	8	yes	—
1376	C₂×C₄⋊C₄	C₂³×C₆₁	1	4	yes	—
1377	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1378	C₂×C₂²⋊C₄	C₂³×C₆₁	1	2	yes	—
1379	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1380	C₂×C₂²⋊C₄	C₂³×C₆₁	1	4	yes	—
1381	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1382	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1383	C₂×C₂²⋊C₄	C₂³×C₆₁	1	8	yes	—
1384	C₂×C₄²	C₂³×C₆₁	1	4	yes	—
1385	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1386	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1387	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1388	C₂×C₄²	C₂³×C₆₁	1	2	yes	—
1389	C₂⁴	C₂⁴×C₆₁	1	2	yes	—
1390	C₂⁴	C₂⁴×C₆₁	1	4	yes	—
1391	#41	—	2	8	no	—
1392	#41	—	2	4	no	—
1393	#41	—	2	8	no	—
1394	#41	—	2	4	no	—
1395	#41	—	4	8	no	—
1396	#41	—	4	8	no	—
1397	#41	—	4	16	no	—
1398	#41	—	4	4	no	—
1399	#41	—	4	4	no	—
1400	#41	—	4	8	no	—
1401	#41	—	4	8	no	—
1402	C₂×Q₈	—	2	4	no	—
1403	C₂×Q₈	—	2	8	no	—
1404	C₂×Q₈	—	4	8	no	—
1405	C₂×Q₈	—	4	8	no	—
1406	C₂×Q₈	—	4	8	no	—
1407	C₂×Q₈	—	4	8	no	—
1408	C₂×Q₈	—	4	8	no	—
1409	C₂×Q₈	—	4	4	no	—
1410	C₂×Q₈	—	4	8	no	—
1411	C₂×Q₈	—	4	8	no	—
1412	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1413	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1414	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1415	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1416	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1417	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1418	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1419	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1420	C₂×Q₈	C₂⁴×C₆₁	1	2	yes	—
1421	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1422	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1423	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1424	C₂×Q₈	C₂⁴×C₆₁	1	8	yes	—
1425	C₂×Q₈	C₂⁴×C₆₁	1	4	yes	—
1426	C₂×D₄	—	2	4	no	—
1427	C₂×D₄	—	2	8	no	—
1428	C₂×D₄	—	4	4	no	—
1429	C₂×D₄	—	4	8	no	—
1430	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1431	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1432	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1433	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1434	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1435	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1436	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1437	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1438	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1439	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1440	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1441	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1442	C₂×D₄	C₂⁴×C₆₁	1	2	yes	—
1443	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1444	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1445	C₂×D₄	C₂⁴×C₆₁	1	8	yes	—
1446	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1447	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1448	C₂×D₄	C₂⁴×C₆₁	1	4	yes	—
1449	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1450	C₂²×C₄	—	2	8	no	—
1451	C₂²×C₄	—	4	8	no	—
1452	C₂²×C₄	—	4	8	no	—
1453	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1454	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1455	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1456	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1457	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1458	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1459	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1460	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1461	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1462	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1463	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1464	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1465	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1466	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1467	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1468	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1469	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1470	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1471	C₂²×C₄	C₂⁴×C₆₁	1	2	yes	—
1472	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1473	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1474	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1475	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1476	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1477	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1478	C₂²×C₄	C₂⁴×C₆₁	1	4	yes	—
1479	C₂²×C₄	C₂⁴×C₆₁	1	8	yes	—
1480	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1481	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1482	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1483	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1484	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1485	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1486	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1487	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1488	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1489	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1490	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1491	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1492	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1493	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1494	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1495	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1496	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1497	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1498	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1499	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1501	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1502	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1503	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1504	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1505	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1506	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1507	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1508	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1509	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1510	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1511	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1512	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1513	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1514	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1515	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1516	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1517	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1518	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1519	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1520	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1521	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1522	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1523	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1524	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1525	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1526	C₄⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1527	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1528	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1529	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1530	C₄⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1531	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1532	C₄⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1533	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1534	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1535	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1536	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1537	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1538	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1539	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1540	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1541	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1542	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1543	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1544	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1545	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1546	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1547	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1548	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1549	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1550	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1551	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1552	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1553	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1554	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1555	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1556	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1557	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1558	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1559	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1560	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1561	C₂²⋊C₄	C₂⁴×C₆₁	1	8	yes	—
1562	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1563	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1564	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1565	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1566	C₂²⋊C₄	C₂⁴×C₆₁	1	2	yes	—
1567	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1568	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1569	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1570	C₂²⋊C₄	C₂⁴×C₆₁	1	4	yes	—
1571	C₄²	C₂⁴×C₆₁	1	2	yes	—
1572	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1573	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1574	C₄²	C₂⁴×C₆₁	1	4	yes	—
1575	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1576	C₄²	C₂⁴×C₆₁	1	2	yes	—
1577	C₄²	C₂⁴×C₆₁	1	2	yes	—
1578	C₄²	C₂⁴×C₆₁	1	4	yes	—
1579	C₄²	C₂⁴×C₆₁	1	4	yes	—
1580	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1581	C₄²	C₂⁴×C₆₁	1	2	yes	—
1582	C₄²	C₂⁴×C₆₁	1	2	yes	—
1583	C₄²	C₂⁴×C₆₁	1	4	yes	—
1584	C₄²	C₂⁴×C₆₁	1	4	yes	—
1585	C₄²	C₂⁴×C₆₁	1	2	yes	—
1586	C₄²	C₂⁴×C₆₁	1	8	yes	—
1587	C₄²	C₂⁴×C₆₁	1	8	yes	—
1588	C₄²	C₂⁴×C₆₁	1	8	yes	—
1589	C₂³	—	2	4	no	—
1590	C₂³	—	2	4	no	—
1591	C₂³	—	2	8	no	—
1592	C₂³	—	4	2	no	—
1593	C₂³	—	4	4	no	—
1594	C₂³	—	4	4	no	—
1595	C₂³	C₂⁵×C₆₁	1	2	yes	—
1596	C₂³	C₂⁵×C₆₁	1	2	yes	—
1597	C₂³	C₂⁵×C₆₁	1	4	yes	—
1598	C₂³	C₂⁵×C₆₁	1	2	yes	—
1599	C₂³	C₂⁵×C₆₁	1	1	yes	characteristic
1600	C₂³	C₂⁵×C₆₁	1	2	yes	—
1601	Q₈	—	2	4	no	—
1602	Q₈	—	2	4	no	—
1603	Q₈	—	2	8	no	—
1604	Q₈	—	2	8	no	—
1605	Q₈	—	2	2	no	—
1606	Q₈	—	2	4	no	—
1607	Q₈	—	2	2	no	—
1608	Q₈	—	2	4	no	—
1609	Q₈	—	4	8	no	—
1610	Q₈	—	4	8	no	—
1611	Q₈	—	4	8	no	—
1612	Q₈	—	4	4	no	—
1613	Q₈	—	4	2	no	—
1614	Q₈	—	4	4	no	—
1615	D₄	—	2	4	no	—
1616	D₄	—	2	8	no	—
1617	D₄	—	2	4	no	—
1618	D₄	—	2	4	no	—
1619	D₄	—	2	8	no	—
1620	D₄	—	2	8	no	—
1621	D₄	—	2	2	no	—
1622	D₄	—	2	4	no	—
1623	D₄	—	2	2	no	—
1624	D₄	—	2	2	no	—
1625	D₄	—	2	4	no	—
1626	D₄	—	4	4	no	—
1627	D₄	—	4	4	no	—
1628	D₄	—	4	4	no	—
1629	D₄	—	4	2	no	—
1630	D₄	—	4	4	no	—
1631	D₄	—	4	4	no	—
1632	D₄	—	4	4	no	—
1633	D₄	—	4	8	no	—
1634	D₄	2₋¹⁺⁴×C₆₁	1	4	yes	complemented
1635	C₂×C₄	—	2	4	no	—
1636	C₂×C₄	—	2	4	no	—
1637	C₂×C₄	—	2	8	no	—
1638	C₂×C₄	—	2	8	no	—
1639	C₂×C₄	—	2	4	no	—
1640	C₂×C₄	—	2	4	no	—
1641	C₂×C₄	—	2	4	no	—
1642	C₂×C₄	—	2	4	no	—
1643	C₂×C₄	—	2	4	no	—
1644	C₂×C₄	—	2	8	no	—
1645	C₂×C₄	—	2	4	no	—
1646	C₂×C₄	—	2	2	no	—
1647	C₂×C₄	—	2	4	no	—
1648	C₂×C₄	—	2	4	no	—
1649	C₂×C₄	—	4	4	no	—
1650	C₂×C₄	—	4	8	no	—
1651	C₂×C₄	—	4	8	no	—
1652	C₂×C₄	—	4	4	no	—
1653	C₂×C₄	—	4	4	no	—
1654	C₂×C₄	—	4	1	no	—
1655	C₂×C₄	—	4	2	no	—
1656	C₂×C₄	—	4	2	no	—
1657	C₂×C₄	—	4	8	no	—
1658	C₂×C₄	—	4	4	no	—
1659	C₂×C₄	—	4	2	no	—
1660	C₂×C₄	—	4	8	no	—
1661	C₂×C₄	—	4	8	no	—
1662	C₂×C₄	H(5,𝔽₂)×C₆₁	1	4	yes	—
1663	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1664	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1665	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1666	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1667	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1668	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1669	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1670	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1671	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1672	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1673	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1674	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1675	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1676	C₂×C₄	C₂⁵×C₆₁	1	8	yes	—
1677	C₂×C₄	C₂⁵×C₆₁	1	4	yes	—
1678	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1679	C₂×C₄	C₂⁵×C₆₁	1	2	yes	—
1680	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1681	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1682	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1683	C₂²	—	2	2	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	2	no	—
1687	C₂²	—	2	2	no	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	2	4	no	—
1690	C₂²	—	2	2	no	—
1691	C₂²	—	2	2	no	—
1692	C₂²	—	2	2	no	—
1693	C₂²	—	2	2	no	—
1694	C₂²	—	2	4	no	—
1695	C₂²	—	2	4	no	—
1696	C₂²	—	2	2	no	—
1697	C₂²	—	2	2	no	—
1698	C₂²	—	2	2	no	—
1699	C₂²	—	4	8	no	—
1700	C₂²	—	8	8	no	—
1701	C₂²	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
1702	C₂²	C₂×2₋¹⁺⁴×C₆₁	1	4	yes	—
1703	C₂²	C₂⁶×C₆₁	1	1	yes	characteristic
1704	C₄	—	2	2	no	—
1705	C₄	—	2	2	no	—
1706	C₄	—	2	2	no	—
1707	C₄	—	2	4	no	—
1708	C₄	—	2	2	no	—
1709	C₄	—	2	8	no	—
1710	C₄	—	2	4	no	—
1711	C₄	—	2	2	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	2	no	—
1714	C₄	—	2	4	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	4	no	—
1717	C₄	—	2	4	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	2	2	no	—
1720	C₄	—	2	2	no	—
1721	C₄	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
1722	C₄	C₂×H(5,𝔽₂)×C₆₁	1	2	yes	—
1723	C₄	C₂×2₋¹⁺⁴×C₆₁	1	2	yes	—
1724	C₂	—	2	2	no	—
1725	C₂	—	2	4	no	—
1726	C₂	—	4	2	no	—
1727	C₂	—	4	2	no	—
1728	C₂	—	4	4	no	—
1729	C₂	—	4	2	no	—
1730	C₂	C₂²×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1731	C₂	C₂²×2₋¹⁺⁴×C₆₁	1	1	yes	characteristic
1732	C₂	C₆₁×2₋¹⁺⁶	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×#3561	C₂	semidirect
2. C₆₁×#3554	C₂	semidirect
3. C₆₁×#3552	C₂	semidirect
4. C₆₁×#3552	C₂	semidirect
5. C₆₁×#3550	C₂	semidirect
6. C₆₁×#3547	C₂	semidirect
7. C₆₁×#3544	C₂	semidirect
8. C₆₁×#3541	C₂	semidirect
9. C₆₁×#3538	C₂	semidirect
10. C₆₁×#3535	C₂	semidirect
11. C₆₁×#3520	C₂	semidirect
12. C₆₁×#3514	C₂	semidirect
13. C₆₁×#3513	C₂	semidirect
14. C₆₁×#3509	C₂	semidirect
15. C₆₁×#3507	C₂	semidirect
16. C₆₁×#3503	C₂	semidirect
17. C₆₁×#3501	C₂	semidirect
18. C₆₁×#3499	C₂	semidirect
19. C₆₁×#3495	C₂	semidirect
20. C₆₁×#3489	C₂	semidirect
21. C₆₁×#3486	C₂	semidirect
22. C₆₁×#3475	C₂	semidirect
23. D₄×#41×C₆₁	C₂	semidirect
24. C₂×D₄×Q₈×C₆₁	C₂	semidirect
25. C₆₁×#3461	C₂	semidirect
26. C₂×C₆₁×#536	C₂	semidirect
27. C₂×2₋¹⁺⁴×C₆₁	C₂²	semidirect
29. C₂³×Q₈×C₆₁	C₂²	semidirect
30. C₆₁×#563	C₂²	semidirect
31. C₆₁×#563	C₂²	semidirect
32. C₆₁×#563	C₂²	semidirect
33. C₆₁×#563	C₂²	semidirect
34. C₆₁×#562	C₂²	semidirect
35. C₆₁×#562	C₂²	semidirect
36. C₆₁×#559	C₂²	semidirect
37. C₆₁×#559	C₂²	semidirect
38. Q₈²×C₆₁	C₂²	semidirect
39. C₆₁×#557	C₂²	semidirect
40. C₆₁×#557	C₂²	semidirect
41. C₆₁×#557	C₂²	semidirect
42. C₆₁×#556	C₂²	semidirect
43. C₆₁×#556	C₂²	semidirect
44. C₆₁×#556	C₂²	semidirect
45. C₆₁×#556	C₂²	semidirect
46. C₆₁×#556	C₂²	semidirect
47. C₆₁×#556	C₂²	semidirect
48. C₆₁×#555	C₂²	semidirect
49. C₆₁×#555	C₂²	semidirect
52. C₆₁×#554	C₂²	semidirect
53. C₆₁×#554	C₂²	semidirect
54. C₆₁×#554	C₂²	semidirect
55. C₆₁×#554	C₂²	semidirect
56. C₆₁×#554	C₂²	semidirect
57. C₆₁×#554	C₂²	semidirect
58. C₆₁×#553	C₂²	semidirect
59. C₆₁×#553	C₂²	semidirect
60. C₆₁×#553	C₂²	semidirect
61. C₆₁×#552	C₂²	semidirect
62. C₆₁×#552	C₂²	semidirect
63. C₆₁×#552	C₂²	semidirect
64. C₆₁×#552	C₂²	semidirect
65. C₆₁×#552	C₂²	semidirect
66. C₆₁×#552	C₂²	semidirect
67. C₆₁×#552	C₂²	semidirect
68. C₆₁×#552	C₂²	semidirect
69. C₆₁×#551	C₂²	semidirect
70. C₆₁×#551	C₂²	semidirect
71. C₆₁×#551	C₂²	semidirect
72. C₆₁×#551	C₂²	semidirect
73. C₆₁×#551	C₂²	semidirect
78. D₄×Q₈×C₆₁	C₂²	semidirect
79. D₄×Q₈×C₆₁	C₂²	semidirect
80. D₄×Q₈×C₆₁	C₂²	semidirect
81. D₄×Q₈×C₆₁	C₂²	semidirect
82. D₄×Q₈×C₆₁	C₂²	semidirect
83. D₄×Q₈×C₆₁	C₂²	semidirect
84. D₄×Q₈×C₆₁	C₂²	semidirect
85. D₄×Q₈×C₆₁	C₂²	semidirect
86. D₄×Q₈×C₆₁	C₂²	semidirect
87. D₄×Q₈×C₆₁	C₂²	semidirect
88. D₄×Q₈×C₆₁	C₂²	semidirect
90. C₆₁×#548	C₂²	semidirect
91. C₆₁×#548	C₂²	semidirect
92. C₆₁×#548	C₂²	semidirect
93. C₆₁×#548	C₂²	semidirect
94. C₆₁×#548	C₂²	semidirect
98. C₆₁×#547	C₂²	semidirect
99. C₆₁×#547	C₂²	semidirect
100. C₆₁×#547	C₂²	semidirect
101. C₆₁×#547	C₂²	semidirect
102. C₆₁×#547	C₂²	semidirect
103. C₆₁×#547	C₂²	semidirect
108. C₆₁×#546	C₂²	semidirect
109. C₆₁×#546	C₂²	semidirect
112. C₆₁×#544	C₂²	semidirect
113. C₆₁×#544	C₂²	semidirect
114. C₆₁×#544	C₂²	semidirect
115. C₆₁×#544	C₂²	semidirect
116. C₆₁×#544	C₂²	semidirect
117. C₆₁×#543	C₂²	semidirect
118. C₆₁×#542	C₂²	semidirect
119. C₆₁×#542	C₂²	semidirect
120. C₆₁×#542	C₂²	semidirect
121. C₆₁×#542	C₂²	semidirect
122. C₆₁×#542	C₂²	semidirect
123. C₆₁×#542	C₂²	semidirect
124. C₆₁×#542	C₂²	semidirect
125. C₆₁×#542	C₂²	semidirect
126. C₆₁×#542	C₂²	semidirect
127. C₆₁×#541	C₂²	semidirect
128. C₆₁×#541	C₂²	semidirect
129. C₆₁×#541	C₂²	semidirect
130. C₆₁×#541	C₂²	semidirect
131. C₆₁×#540	C₂²	semidirect
132. C₆₁×#539	C₂²	semidirect
133. C₆₁×#539	C₂²	semidirect
134. C₆₁×#539	C₂²	semidirect
135. C₆₁×#539	C₂²	semidirect
136. C₆₁×#539	C₂²	semidirect
137. C₆₁×#539	C₂²	semidirect
138. C₆₁×#538	C₂²	semidirect
139. C₆₁×#538	C₂²	semidirect
141. C₆₁×#537	C₂²	semidirect
144. C₆₁×#536	C₂²	semidirect
145. C₆₁×#536	C₂²	semidirect
146. C₆₁×#536	C₂²	semidirect
147. C₆₁×#536	C₂²	semidirect
148. C₆₁×#536	C₂²	semidirect
149. C₆₁×#536	C₂²	semidirect
150. C₆₁×#536	C₂²	semidirect
151. C₆₁×#536	C₂²	semidirect
152. C₆₁×#536	C₂²	semidirect
153. C₆₁×#536	C₂²	semidirect
154. C₆₁×#536	C₂²	semidirect
155. C₆₁×#533	C₂²	semidirect
156. C₆₁×#533	C₂²	semidirect
157. C₆₁×#533	C₂²	semidirect
158. C₆₁×#533	C₂²	semidirect
159. C₆₁×#533	C₂²	semidirect
160. C₆₁×#533	C₂²	semidirect
163. C₆₁×#532	C₂²	semidirect
164. C₂×C₄⋊Q₈×C₆₁	C₂²	semidirect
165. C₂×C₄⋊Q₈×C₆₁	C₂²	semidirect
166. C₂×C₄⋊Q₈×C₆₁	C₂²	semidirect
167. C₂×C₄⋊Q₈×C₆₁	C₂²	semidirect
168. C₆₁×#529	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. C₂×#124×C₆₁	C₂²	semidirect
178. C₆₁×#525	C₂²	semidirect
179. C₆₁×#525	C₂²	semidirect
180. C₆₁×#525	C₂²	semidirect
181. C₂×#123×C₆₁	C₂²	semidirect
182. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
183. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
184. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
185. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
186. C₂×C₂²⋊Q₈×C₆₁	C₂²	semidirect
188. C₆₁×#520	C₂²	semidirect
189. C₆₁×#519	C₂²	semidirect
193. C₄×#41×C₆₁	C₂²	semidirect
194. C₂×C₄×Q₈×C₆₁	C₂²	semidirect
198. C₂×#117×C₆₁	C₂²	semidirect
767. D₄×C₆₁	2₋¹⁺⁴	semidirect
816. #62942	C₆₁	direct (N × H)
858. #3561	C₂×C₆₁	semidirect
859. #3554	C₂×C₆₁	semidirect
860. #3552	C₂×C₆₁	semidirect
861. #3552	C₂×C₆₁	semidirect
862. #3550	C₂×C₆₁	semidirect
863. #3547	C₂×C₆₁	semidirect
864. #3544	C₂×C₆₁	semidirect
865. #3541	C₂×C₆₁	semidirect
866. #3538	C₂×C₆₁	semidirect
867. #3535	C₂×C₆₁	semidirect
868. #3520	C₂×C₆₁	semidirect
869. #3514	C₂×C₆₁	semidirect
870. #3513	C₂×C₆₁	semidirect
871. #3509	C₂×C₆₁	semidirect
872. #3507	C₂×C₆₁	semidirect
873. #3503	C₂×C₆₁	semidirect
874. #3501	C₂×C₆₁	semidirect
875. #3499	C₂×C₆₁	semidirect
876. #3495	C₂×C₆₁	semidirect
877. #3489	C₂×C₆₁	semidirect
878. #3486	C₂×C₆₁	semidirect
879. #3475	C₂×C₆₁	semidirect
880. D₄×#41	C₂×C₆₁	semidirect
881. C₂×D₄×Q₈	C₂×C₆₁	semidirect
882. #3461	C₂×C₆₁	semidirect
883. C₂×#536	C₂×C₆₁	semidirect
893. C₂×2₋¹⁺⁴	C₂²×C₆₁	semidirect
895. C₂³×Q₈	C₂²×C₆₁	semidirect
896. #563	C₂²×C₆₁	semidirect
897. #563	C₂²×C₆₁	semidirect
898. #563	C₂²×C₆₁	semidirect
899. #563	C₂²×C₆₁	semidirect
900. #562	C₂²×C₆₁	semidirect
901. #562	C₂²×C₆₁	semidirect
902. #559	C₂²×C₆₁	semidirect
903. #559	C₂²×C₆₁	semidirect
904. Q₈²	C₂²×C₆₁	semidirect
905. #557	C₂²×C₆₁	semidirect
906. #557	C₂²×C₆₁	semidirect
907. #557	C₂²×C₆₁	semidirect
908. #556	C₂²×C₆₁	semidirect
909. #556	C₂²×C₆₁	semidirect
910. #556	C₂²×C₆₁	semidirect
911. #556	C₂²×C₆₁	semidirect
912. #556	C₂²×C₆₁	semidirect
913. #556	C₂²×C₆₁	semidirect
914. #555	C₂²×C₆₁	semidirect
915. #555	C₂²×C₆₁	semidirect
918. #554	C₂²×C₆₁	semidirect
919. #554	C₂²×C₆₁	semidirect
920. #554	C₂²×C₆₁	semidirect
921. #554	C₂²×C₆₁	semidirect
922. #554	C₂²×C₆₁	semidirect
923. #554	C₂²×C₆₁	semidirect
924. #553	C₂²×C₆₁	semidirect
925. #553	C₂²×C₆₁	semidirect
926. #553	C₂²×C₆₁	semidirect
927. #552	C₂²×C₆₁	semidirect
928. #552	C₂²×C₆₁	semidirect
929. #552	C₂²×C₆₁	semidirect
930. #552	C₂²×C₆₁	semidirect
931. #552	C₂²×C₆₁	semidirect
932. #552	C₂²×C₆₁	semidirect
933. #552	C₂²×C₆₁	semidirect
934. #552	C₂²×C₆₁	semidirect
935. #551	C₂²×C₆₁	semidirect
936. #551	C₂²×C₆₁	semidirect
937. #551	C₂²×C₆₁	semidirect
938. #551	C₂²×C₆₁	semidirect
939. #551	C₂²×C₆₁	semidirect
944. D₄×Q₈	C₂²×C₆₁	semidirect
945. D₄×Q₈	C₂²×C₆₁	semidirect
946. D₄×Q₈	C₂²×C₆₁	semidirect
947. D₄×Q₈	C₂²×C₆₁	semidirect
948. D₄×Q₈	C₂²×C₆₁	semidirect
949. D₄×Q₈	C₂²×C₆₁	semidirect
950. D₄×Q₈	C₂²×C₆₁	semidirect
951. D₄×Q₈	C₂²×C₆₁	semidirect
952. D₄×Q₈	C₂²×C₆₁	semidirect
953. D₄×Q₈	C₂²×C₆₁	semidirect
954. D₄×Q₈	C₂²×C₆₁	semidirect
956. #548	C₂²×C₆₁	semidirect
957. #548	C₂²×C₆₁	semidirect
958. #548	C₂²×C₆₁	semidirect
959. #548	C₂²×C₆₁	semidirect
960. #548	C₂²×C₆₁	semidirect
964. #547	C₂²×C₆₁	semidirect
965. #547	C₂²×C₆₁	semidirect
966. #547	C₂²×C₆₁	semidirect
967. #547	C₂²×C₆₁	semidirect
968. #547	C₂²×C₆₁	semidirect
969. #547	C₂²×C₆₁	semidirect
974. #546	C₂²×C₆₁	semidirect
975. #546	C₂²×C₆₁	semidirect
978. #544	C₂²×C₆₁	semidirect
979. #544	C₂²×C₆₁	semidirect
980. #544	C₂²×C₆₁	semidirect
981. #544	C₂²×C₆₁	semidirect
982. #544	C₂²×C₆₁	semidirect
983. #543	C₂²×C₆₁	semidirect
984. #542	C₂²×C₆₁	semidirect
985. #542	C₂²×C₆₁	semidirect
986. #542	C₂²×C₆₁	semidirect
987. #542	C₂²×C₆₁	semidirect
988. #542	C₂²×C₆₁	semidirect
989. #542	C₂²×C₆₁	semidirect
990. #542	C₂²×C₆₁	semidirect
991. #542	C₂²×C₆₁	semidirect
992. #542	C₂²×C₆₁	semidirect
993. #541	C₂²×C₆₁	semidirect
994. #541	C₂²×C₆₁	semidirect
995. #541	C₂²×C₆₁	semidirect
996. #541	C₂²×C₆₁	semidirect
997. #540	C₂²×C₆₁	semidirect
998. #539	C₂²×C₆₁	semidirect
999. #539	C₂²×C₆₁	semidirect
1000. #539	C₂²×C₆₁	semidirect
1001. #539	C₂²×C₆₁	semidirect
1002. #539	C₂²×C₆₁	semidirect
1003. #539	C₂²×C₆₁	semidirect
1004. #538	C₂²×C₆₁	semidirect
1005. #538	C₂²×C₆₁	semidirect
1007. #537	C₂²×C₆₁	semidirect
1010. #536	C₂²×C₆₁	semidirect
1011. #536	C₂²×C₆₁	semidirect
1012. #536	C₂²×C₆₁	semidirect
1013. #536	C₂²×C₆₁	semidirect
1014. #536	C₂²×C₆₁	semidirect
1015. #536	C₂²×C₆₁	semidirect
1016. #536	C₂²×C₆₁	semidirect
1017. #536	C₂²×C₆₁	semidirect
1018. #536	C₂²×C₆₁	semidirect
1019. #536	C₂²×C₆₁	semidirect
1020. #536	C₂²×C₆₁	semidirect
1021. #533	C₂²×C₆₁	semidirect
1022. #533	C₂²×C₆₁	semidirect
1023. #533	C₂²×C₆₁	semidirect
1024. #533	C₂²×C₆₁	semidirect
1025. #533	C₂²×C₆₁	semidirect
1026. #533	C₂²×C₆₁	semidirect
1029. #532	C₂²×C₆₁	semidirect
1030. C₂×C₄⋊Q₈	C₂²×C₆₁	semidirect
1031. C₂×C₄⋊Q₈	C₂²×C₆₁	semidirect
1032. C₂×C₄⋊Q₈	C₂²×C₆₁	semidirect
1033. C₂×C₄⋊Q₈	C₂²×C₆₁	semidirect
1034. #529	C₂²×C₆₁	semidirect
1035. #529	C₂²×C₆₁	semidirect
1036. #529	C₂²×C₆₁	semidirect
1037. #529	C₂²×C₆₁	semidirect
1038. #529	C₂²×C₆₁	semidirect
1039. #529	C₂²×C₆₁	semidirect
1040. #529	C₂²×C₆₁	semidirect
1041. C₂×#124	C₂²×C₆₁	semidirect
1044. #525	C₂²×C₆₁	semidirect
1045. #525	C₂²×C₆₁	semidirect
1046. #525	C₂²×C₆₁	semidirect
1047. C₂×#123	C₂²×C₆₁	semidirect
1048. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
1049. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
1050. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
1051. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
1052. C₂×C₂²⋊Q₈	C₂²×C₆₁	semidirect
1054. #520	C₂²×C₆₁	semidirect
1055. #519	C₂²×C₆₁	semidirect
1059. C₄×#41	C₂²×C₆₁	semidirect
1060. C₂×C₄×Q₈	C₂²×C₆₁	semidirect
1064. C₂×#117	C₂²×C₆₁	semidirect
1065. C₆₁	#62942	direct (N × H)
1634. D₄	2₋¹⁺⁴×C₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₆₁×#3561	2
C₆₁×#3554	2
C₆₁×#3552	2
C₆₁×#3550	2
C₆₁×#3547	2
C₆₁×#3544	2
C₆₁×#3541	2
C₆₁×#3538	2
C₆₁×#3535	2
C₆₁×#3520	2
C₆₁×#3514	2
C₆₁×#3513	2
C₆₁×#3509	2
C₆₁×#3507	2
C₆₁×#3503	2
C₆₁×#3501	2
C₆₁×#3499	2
C₆₁×#3495	2
C₆₁×#3489	2
C₆₁×#3486	2
C₆₁×#3475	2
D₄×#41×C₆₁	2
C₂×D₄×Q₈×C₆₁	2
C₆₁×#3461	2
C₂×C₆₁×#536	2
#62942	61

Subgroups — C61×#62942 #29566375

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62942 #29566375