Subgroups — #29888852

Order 15616.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21454111	C₂	1	1	yes	maximal, characteristic
2	#21453791	C₂	1	1	yes	maximal, characteristic, complemented
3	#21453657	C₂	1	1	yes	maximal, characteristic, complemented
4	#21453592	C₂	1	1	yes	maximal, characteristic, complemented
5	#21453546	C₂	1	1	yes	maximal, characteristic, complemented
6	#21453494	C₂	1	1	yes	maximal, characteristic, complemented
7	#21453483	C₂	1	1	yes	maximal, characteristic, complemented
8	#21453337	C₂	1	1	yes	maximal, characteristic, complemented
9	#21453258	C₂	1	1	yes	maximal, characteristic, complemented
10	#21452969	C₂	1	1	yes	maximal, characteristic, complemented
11	#21452834	C₂	1	1	yes	maximal, characteristic, complemented
12	#21452750	C₂	1	1	yes	maximal, characteristic, complemented
13	#21452693	C₂	1	1	yes	maximal, characteristic, complemented
14	#21452673	C₂	1	1	yes	maximal, characteristic, complemented
15	#21452339	C₂	1	1	yes	maximal, characteristic, complemented
16	#21452266	C₂	1	1	yes	maximal, characteristic, complemented
17	#21452158	C₂	1	1	yes	maximal, characteristic, complemented
18	#21451791	C₂	1	1	yes	maximal, characteristic, complemented
19	#21451775	C₂	1	1	yes	maximal, characteristic, complemented
20	#21450259	C₂	1	1	yes	maximal, characteristic, complemented
21	#21450090	C₂	1	1	yes	maximal, characteristic, complemented
22	#21450062	C₂	1	1	yes	maximal, characteristic, complemented
23	#21449965	C₂	1	1	yes	maximal, characteristic, complemented
24	#21449624	C₂	1	1	yes	maximal, characteristic, complemented
25	#21449491	C₂	1	1	yes	maximal, characteristic, complemented
26	#21449285	C₂	1	1	yes	maximal, characteristic
27	#21449206	C₂	1	1	yes	maximal, characteristic
28	#21448487	C₂	1	1	yes	maximal, characteristic, complemented
29	#21448438	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16839635	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2848	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14519770	C₂²	1	1	yes	characteristic
33	C₂×#14519767	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14519761	C₂²	1	1	yes	characteristic
35	C₂×#14519760	C₂²	1	1	yes	characteristic
36	C₂×#14519760	C₂²	1	1	yes	characteristic
37	C₂×#14519759	C₂²	1	1	yes	characteristic
38	C₂×#14519753	C₂²	1	1	yes	characteristic, complemented
39	C₂×#14519746	C₂²	1	1	yes	characteristic
40	C₂×#14519737	C₂²	1	1	yes	characteristic
41	C₂×#14519733	C₂²	1	1	yes	characteristic
42	C₂×#14519733	C₂²	1	1	yes	characteristic
43	C₂²×#11758196	C₂²	1	1	yes	characteristic
44	C₂²×#11758196	C₂²	1	1	yes	characteristic
45	C₂²×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
46	C₂²×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
47	C₆₁⋊#401	C₂²	1	1	yes	characteristic, complemented
48	#16839704	C₂²	1	1	yes	characteristic, complemented
49	#16839704	C₂²	1	1	yes	characteristic, complemented
50	#16839703	C₂²	1	1	yes	characteristic, complemented
51	#16839703	C₂²	1	1	yes	characteristic, complemented
52	#16839703	C₂²	1	1	yes	characteristic, complemented
53	#16839702	C₂²	1	1	yes	characteristic, complemented
54	#16839701	C₂²	1	1	yes	characteristic, complemented
55	#16839700	C₂²	1	1	yes	characteristic, complemented
56	#16839700	C₂²	1	1	yes	characteristic, complemented
57	#16839700	C₂²	1	1	yes	characteristic, complemented
58	#16839698	C₂²	1	1	yes	characteristic
59	#16839698	C₂²	1	1	yes	characteristic
60	#16839698	C₂²	1	1	yes	characteristic
61	#16839697	C₂²	1	1	yes	characteristic, complemented
62	#16839697	C₂²	1	1	yes	characteristic, complemented
63	#16839696	C₂²	1	1	yes	characteristic, complemented
64	#16839696	C₂²	1	1	yes	characteristic, complemented
65	#16839695	C₂²	1	1	yes	characteristic, complemented
66	#16839695	C₂²	1	1	yes	characteristic, complemented
67	#16839695	C₂²	1	1	yes	characteristic, complemented
68	#16839695	C₂²	1	1	yes	characteristic, complemented
69	#16839695	C₂²	1	1	yes	characteristic, complemented
70	#16839693	C₂²	1	1	yes	characteristic, complemented
71	#16839693	C₂²	1	1	yes	characteristic, complemented
72	#16839692	C₂²	1	1	yes	characteristic, complemented
73	#16839692	C₂²	1	1	yes	characteristic, complemented
74	#16839691	C₂²	1	1	yes	characteristic, complemented
75	#16839691	C₂²	1	1	yes	characteristic, complemented
76	#16839690	C₂²	1	1	yes	characteristic
77	#16839690	C₂²	1	1	yes	characteristic
78	#16839690	C₂²	1	1	yes	characteristic
79	#16839690	C₂²	1	1	yes	characteristic
80	#16839690	C₂²	1	1	yes	characteristic
81	#16839689	C₂²	1	1	yes	characteristic, complemented
82	#16839688	C₂²	1	1	yes	characteristic, complemented
83	#16839687	C₂²	1	1	yes	characteristic
84	#16839685	C₂²	1	1	yes	characteristic
85	#16839685	C₂²	1	1	yes	characteristic
86	#16839685	C₂²	1	1	yes	characteristic
87	#16839684	C₂²	1	1	yes	characteristic, complemented
88	#16839684	C₂²	1	1	yes	characteristic, complemented
89	#16839681	C₂²	1	1	yes	characteristic, complemented
90	#16839681	C₂²	1	1	yes	characteristic, complemented
91	#16839678	C₂²	1	1	yes	characteristic
92	#16839677	C₂²	1	1	yes	characteristic
93	#16839677	C₂²	1	1	yes	characteristic
94	#16839677	C₂²	1	1	yes	characteristic
95	#16839669	C₂²	1	1	yes	characteristic, complemented
96	#16839662	C₂²	1	1	yes	characteristic
97	#16839662	C₂²	1	1	yes	characteristic
98	#16839659	C₂²	1	1	yes	characteristic, complemented
99	#16839659	C₂²	1	1	yes	characteristic, complemented
100	#16839659	C₂²	1	1	yes	characteristic, complemented
101	#16839658	C₂²	1	1	yes	characteristic, complemented
102	#16839658	C₂²	1	1	yes	characteristic, complemented
103	#16839658	C₂²	1	1	yes	characteristic, complemented
104	#16839658	C₂²	1	1	yes	characteristic, complemented
105	#16839657	C₂²	1	1	yes	characteristic, complemented
106	#16839657	C₂²	1	1	yes	characteristic, complemented
107	#16839656	C₂²	1	1	yes	characteristic
108	#16839656	C₂²	1	1	yes	characteristic
109	#16839656	C₂²	1	1	yes	characteristic
110	#16839656	C₂²	1	1	yes	characteristic
111	#16839655	C₂²	1	1	yes	characteristic
112	#16839655	C₂²	1	1	yes	characteristic
113	#16839655	C₂²	1	1	yes	characteristic
114	#16839655	C₂²	1	1	yes	characteristic
115	#16839655	C₂²	1	1	yes	characteristic
116	#16839655	C₂²	1	1	yes	characteristic
117	#16839652	C₂²	1	1	yes	characteristic, complemented
118	#16839651	C₂²	1	1	yes	characteristic, complemented
119	#16839651	C₂²	1	1	yes	characteristic, complemented
120	#16839651	C₂²	1	1	yes	characteristic, complemented
121	#16839650	C₂²	1	1	yes	characteristic
122	#16839649	C₂²	1	1	yes	characteristic, complemented
123	#16839648	C₂²	1	1	yes	characteristic, complemented
124	#16839645	C₂²	1	1	yes	characteristic, complemented
125	#16839645	C₂²	1	1	yes	characteristic, complemented
126	#16839644	C₂²	1	1	yes	characteristic, complemented
127	#16839643	C₂²	1	1	yes	characteristic, complemented
128	#16839643	C₂²	1	1	yes	characteristic, complemented
129	#16839643	C₂²	1	1	yes	characteristic, complemented
130	#16839643	C₂²	1	1	yes	characteristic, complemented
131	#16839641	C₂²	1	1	yes	characteristic
132	#16839641	C₂²	1	1	yes	characteristic
133	#16839641	C₂²	1	1	yes	characteristic
134	#16839641	C₂²	1	1	yes	characteristic
135	#16839639	C₂²	1	1	yes	characteristic
136	#16839639	C₂²	1	1	yes	characteristic
137	#16839638	C₂²	1	1	yes	characteristic
138	#16839637	C₂²	1	1	yes	characteristic
139	#16839637	C₂²	1	1	yes	characteristic
140	#16839637	C₂²	1	1	yes	characteristic
141	#16839635	C₂²	1	1	yes	characteristic
142	#16839635	C₂²	1	1	yes	characteristic
143	#16839635	C₂²	1	1	yes	characteristic
144	#16839635	C₂²	1	1	yes	characteristic
145	#16839635	C₂²	1	1	yes	characteristic
146	#16839635	C₂²	1	1	yes	characteristic
147	#16839635	C₂²	1	1	yes	characteristic
148	#16839635	C₂²	1	1	yes	characteristic
149	#16839635	C₂²	1	1	yes	characteristic
150	#16839635	C₂²	1	1	yes	characteristic
151	#16839635	C₂²	1	1	yes	characteristic
152	#16839635	C₂²	1	1	yes	characteristic
153	#16839634	C₂²	1	1	yes	characteristic
154	#16839634	C₂²	1	1	yes	characteristic
155	#16839634	C₂²	1	1	yes	characteristic
156	#16839633	C₂²	1	1	yes	characteristic, complemented
157	#16839633	C₂²	1	1	yes	characteristic, complemented
158	#16839633	C₂²	1	1	yes	characteristic, complemented
159	#16839631	C₂²	1	1	yes	characteristic, complemented
160	#16839631	C₂²	1	1	yes	characteristic, complemented
161	#16839626	C₂²	1	1	yes	characteristic, complemented
162	#16839626	C₂²	1	1	yes	characteristic, complemented
163	#16839625	C₂²	1	1	yes	characteristic
164	#16839625	C₂²	1	1	yes	characteristic
165	#16839623	C₂²	1	1	yes	characteristic
166	#16839620	C₂²	1	1	yes	characteristic
167	#16839620	C₂²	1	1	yes	characteristic
168	#16839618	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×Dic₆₁	C₂²	1	1	yes	characteristic
170	C₂×#14519684	C₂²	1	1	yes	characteristic
171	C₂×#14519684	C₂²	1	1	yes	characteristic
172	C₂⁴×C₄×C₆₁	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
174	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
175	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
176	C₆₁×#385	C₂²	1	1	yes	characteristic
177	C₆₁×#385	C₂²	1	1	yes	characteristic
178	C₆₁×#385	C₂²	1	1	yes	characteristic
179	C₆₁×#385	C₂²	1	1	yes	characteristic
180	C₆₁×#385	C₂²	1	1	yes	characteristic
181	C₆₁×#385	C₂²	1	1	yes	characteristic
182	C₆₁×#380	C₂²	1	1	yes	characteristic
183	C₆₁×#380	C₂²	1	1	yes	characteristic
184	C₆₁×#380	C₂²	1	1	yes	characteristic
185	C₆₁×#379	C₂²	1	1	yes	characteristic
186	C₆₁×#379	C₂²	1	1	yes	characteristic
187	C₂²×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
190	C₂³×Dic₆₁	C₂³	1	1	yes	characteristic
191	C₂³×Dic₆₁	C₂³	1	1	yes	characteristic
192	C₂³×Dic₆₁	C₂³	1	1	yes	characteristic
193	C₂³×Dic₆₁	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
195	#14519770	—	4	2	no	—
196	#14519767	—	4	2	no	—
197	#14519761	—	2	4	no	—
198	#14519760	—	4	2	no	—
199	#14519760	—	4	2	no	—
200	#14519759	—	4	2	no	—
201	#14519753	—	4	2	no	—
202	#14519746	—	4	2	no	—
203	#14519737	—	4	2	no	—
204	#14519733	—	2	4	no	—
205	#14519733	—	4	2	no	—
206	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
214	C₂×#11758196	—	4	2	no	—
215	C₂×#11758196	—	4	2	no	—
216	C₂×#11758196	C₂³	1	1	yes	characteristic
217	C₂×#11758196	C₂³	1	1	yes	characteristic
218	C₂×#11758196	C₂³	1	1	yes	characteristic
219	C₂×#11758196	C₂³	1	1	yes	characteristic
220	C₂×#11758196	C₂³	1	1	yes	characteristic
221	C₂×#11758196	C₂³	1	1	yes	characteristic
222	C₂×#11758196	C₂³	1	1	yes	characteristic
223	C₂×#11758196	C₂³	1	1	yes	characteristic
224	C₂×#11758196	C₂³	1	1	yes	characteristic
225	C₂×#11758196	C₂³	1	1	yes	characteristic
226	C₂×#11758196	C₂³	1	1	yes	characteristic
227	C₂×#11758196	C₂³	1	1	yes	characteristic
228	C₂×#11758196	C₂³	1	1	yes	characteristic
229	C₂×#11758196	C₂³	1	1	yes	characteristic
230	C₂×#11758196	C₂³	1	1	yes	characteristic
231	C₂×#11758196	C₂³	1	1	yes	characteristic
232	C₂×#11758196	C₂³	1	1	yes	characteristic
233	C₂×#11758196	C₂³	1	1	yes	characteristic
234	C₂×#11758196	C₂³	1	1	yes	characteristic
235	C₂×#11758196	C₂³	1	1	yes	characteristic
236	C₂×#11758196	C₂³	1	1	yes	characteristic
237	C₂×#11758196	C₂³	1	1	yes	characteristic
238	C₂×#11758196	C₂³	1	1	yes	characteristic
239	C₂×#11758196	C₂³	1	1	yes	characteristic
240	C₂×#11758196	C₂³	1	1	yes	characteristic
241	C₂×#11758196	C₂³	1	1	yes	characteristic
242	C₂×#11758196	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₆₁	—	2	4	no	—
244	C₂×C₂²⋊Dic₆₁	—	4	2	no	—
245	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
262	C₂×#11758198	C₂³	1	1	yes	characteristic
263	C₂×#11758198	C₂³	1	1	yes	characteristic
264	C₂×#11758198	C₂³	1	1	yes	characteristic
265	C₂×#11758198	C₂³	1	1	yes	characteristic
266	C₂×#11758198	C₂³	1	1	yes	characteristic
267	C₂×#11758198	C₂³	1	1	yes	characteristic
268	C₂×#11758198	C₂³	1	1	yes	characteristic
269	C₂×#11758198	C₂³	1	1	yes	characteristic
270	C₂×#11758198	C₂³	1	1	yes	characteristic
271	C₂×#11758198	C₂³	1	1	yes	characteristic
272	C₂×#11758198	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
280	#14519684	C₂³	1	1	yes	characteristic
281	#14519684	C₂³	1	1	yes	characteristic
282	#14519684	C₂³	1	1	yes	characteristic
283	#14519684	C₂³	1	1	yes	characteristic
284	#14519684	C₂³	1	1	yes	characteristic
285	#14519684	C₂³	1	1	yes	characteristic
286	#14519684	C₂³	1	1	yes	characteristic
287	#14519684	C₂³	1	1	yes	characteristic
288	#14519684	C₂³	1	1	yes	characteristic
289	#14519684	C₂³	1	1	yes	characteristic
290	#14519684	C₂³	1	1	yes	characteristic
291	#14519684	C₂³	1	1	yes	characteristic
292	#14519684	C₂³	1	1	yes	characteristic
293	#14519684	C₂³	1	1	yes	characteristic
294	#14519684	C₂³	1	1	yes	characteristic
295	#14519684	C₂³	1	1	yes	characteristic
296	#14519684	C₂³	1	1	yes	characteristic
297	#14519684	C₂³	1	1	yes	characteristic
298	#14519684	C₂³	1	1	yes	characteristic
299	#14519684	C₂³	1	1	yes	characteristic
300	#14519684	C₂³	1	1	yes	characteristic
301	#14519684	C₂³	1	1	yes	characteristic
302	#14519684	C₂³	1	1	yes	characteristic
303	#14519684	C₂³	1	1	yes	characteristic
304	#14519684	C₂³	1	1	yes	characteristic
305	#14519684	C₂³	1	1	yes	characteristic
306	#14519684	C₂³	1	1	yes	characteristic
307	#14519684	C₂³	1	1	yes	characteristic
308	#14519684	C₂³	1	1	yes	characteristic
309	#14519684	C₂³	1	1	yes	characteristic
310	#14519684	C₂³	1	1	yes	characteristic
311	#14519684	C₂³	1	1	yes	characteristic
312	#14519684	C₂³	1	1	yes	characteristic
313	#14519684	C₂³	1	1	yes	characteristic
314	#14519684	C₂³	1	1	yes	characteristic
315	#14519684	C₂³	1	1	yes	characteristic
316	#14519684	C₂³	1	1	yes	characteristic
317	#14519684	C₂³	1	1	yes	characteristic
318	#14519684	C₂³	1	1	yes	characteristic
319	#14519684	C₂³	1	1	yes	characteristic
320	#14519684	C₂³	1	1	yes	characteristic
321	#14519684	C₂³	1	1	yes	characteristic
322	C₂⁵×C₆₁	C₂³	1	1	yes	characteristic
323	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₆₁	—	4	2	no	—
325	C₂³×C₄×C₆₁	—	4	2	no	—
326	C₂³×C₄×C₆₁	—	4	2	no	—
327	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
333	C₂²⋊Q₈×C₆₁	—	4	2	no	—
334	C₂²⋊Q₈×C₆₁	—	4	2	no	—
335	C₂²⋊Q₈×C₆₁	—	4	2	no	—
336	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
357	#95×C₆₁	C₂³	1	1	yes	characteristic
358	#95×C₆₁	C₂³	1	1	yes	characteristic
359	#95×C₆₁	C₂³	1	1	yes	characteristic
360	#95×C₆₁	C₂³	1	1	yes	characteristic
361	#95×C₆₁	C₂³	1	1	yes	characteristic
362	#95×C₆₁	C₂³	1	1	yes	characteristic
363	C₂⁴×C₆₁	—	2	2	no	—
364	C₂⁴×C₆₁	—	2	2	no	—
365	C₂⁴×C₆₁	—	2	2	no	—
366	C₂⁴×C₆₁	—	2	2	no	—
367	C₂⁴×C₆₁	—	2	2	no	—
368	C₂⁴×C₆₁	—	4	1	no	—
369	C₂⁴×C₆₁	—	4	1	no	—
370	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
373	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
374	C₂×Q₈×C₆₁	—	2	2	no	—
375	C₂×Q₈×C₆₁	—	4	1	no	—
376	C₂×Q₈×C₆₁	—	4	1	no	—
377	C₂²×C₄×C₆₁	—	2	2	no	—
378	C₂²×C₄×C₆₁	—	2	2	no	—
379	C₂²×C₄×C₆₁	—	2	2	no	—
380	C₂²×C₄×C₆₁	—	2	2	no	—
381	C₂²×C₄×C₆₁	—	2	2	no	—
382	C₂²×C₄×C₆₁	—	2	2	no	—
383	C₂²×C₄×C₆₁	—	2	2	no	—
384	C₂²×C₄×C₆₁	—	4	1	no	—
385	C₂²×C₄×C₆₁	—	4	1	no	—
386	C₂²×C₄×C₆₁	—	4	1	no	—
387	C₂²×C₄×C₆₁	—	4	1	no	—
388	C₂²×C₄×C₆₁	—	4	1	no	—
389	C₂²×C₄×C₆₁	—	4	1	no	—
390	C₂²×C₄×C₆₁	—	4	1	no	—
391	C₂²×C₄×C₆₁	—	4	1	no	—
392	C₂²×C₄×C₆₁	—	4	1	no	—
393	C₂²×C₄×C₆₁	—	4	1	no	—
394	C₂²×C₄×C₆₁	—	4	1	no	—
395	C₂²×C₄×C₆₁	—	4	16	no	—
396	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
408	C₂×C₂²⋊D₆₁	—	2	2	no	—
409	C₂×C₂²⋊D₆₁	—	2	2	no	—
410	C₂×C₂²⋊D₆₁	—	2	2	no	—
411	C₂×C₂²⋊D₆₁	—	2	2	no	—
412	C₂×C₂²⋊D₆₁	—	2	2	no	—
413	C₂×C₂²⋊D₆₁	—	4	1	no	—
414	C₂×C₂²⋊D₆₁	—	4	1	no	—
415	C₂×C₂²⋊D₆₁	—	4	1	no	—
416	C₂×C₂²⋊D₆₁	—	4	1	no	—
417	C₂²×Dic₆₁	—	2	2	no	—
418	C₂²×Dic₆₁	—	2	2	no	—
419	C₂²×Dic₆₁	—	2	2	no	—
420	C₂²×Dic₆₁	—	2	2	no	—
421	C₂²×Dic₆₁	—	2	2	no	—
422	C₂²×Dic₆₁	—	4	1	no	—
423	C₂²×Dic₆₁	—	4	1	no	—
424	C₂²×Dic₆₁	—	4	1	no	—
425	C₂²×Dic₆₁	—	4	1	no	—
426	C₂²×Dic₆₁	—	4	1	no	—
427	C₂²×Dic₆₁	—	4	1	no	—
428	C₂²×Dic₆₁	#41	1	4	yes	—
429	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
444	C₂×C₄×D₆₁	—	4	1	no	—
445	C₂×C₄×D₆₁	—	4	1	no	—
446	C₂×C₄×D₆₁	—	4	1	no	—
447	C₄⋊C₄×C₆₁	—	2	2	no	—
448	C₄⋊C₄×C₆₁	—	4	1	no	—
449	C₄⋊C₄×C₆₁	—	4	1	no	—
450	C₄⋊C₄×C₆₁	—	4	1	no	—
451	C₄⋊C₄×C₆₁	—	4	1	no	—
452	C₄⋊C₄×C₆₁	—	4	1	no	—
453	C₄⋊C₄×C₆₁	—	4	1	no	—
454	C₄⋊C₄×C₆₁	—	4	1	no	—
455	C₄⋊C₄×C₆₁	—	4	1	no	—
456	C₂²⋊C₄×C₆₁	—	2	2	no	—
457	C₂²⋊C₄×C₆₁	—	2	2	no	—
458	C₂²⋊C₄×C₆₁	—	2	2	no	—
459	C₂²⋊C₄×C₆₁	—	2	2	no	—
460	C₂²⋊C₄×C₆₁	—	2	2	no	—
461	C₂²⋊C₄×C₆₁	—	2	2	no	—
462	C₂²⋊C₄×C₆₁	—	2	2	no	—
463	C₂²⋊C₄×C₆₁	—	2	2	no	—
464	C₂²⋊C₄×C₆₁	—	4	1	no	—
465	C₂²⋊C₄×C₆₁	—	4	1	no	—
466	C₂²⋊C₄×C₆₁	—	4	1	no	—
467	C₂²⋊C₄×C₆₁	—	4	1	no	—
468	C₂²⋊Dic₆₁	—	2	2	no	—
469	C₂²⋊Dic₆₁	—	2	2	no	—
470	C₂²⋊Dic₆₁	—	2	2	no	—
471	C₂²⋊Dic₆₁	—	2	2	no	—
472	C₂²⋊Dic₆₁	—	2	2	no	—
473	C₂²⋊Dic₆₁	—	2	2	no	—
474	C₂²⋊Dic₆₁	—	2	2	no	—
475	C₂²⋊Dic₆₁	—	2	2	no	—
476	C₂²⋊Dic₆₁	—	2	2	no	—
477	C₂²⋊Dic₆₁	—	2	2	no	—
478	C₂²⋊Dic₆₁	—	2	2	no	—
479	C₂²⋊Dic₆₁	—	4	1	no	—
480	C₂²⋊Dic₆₁	—	4	1	no	—
481	C₂²⋊Dic₆₁	—	4	1	no	—
482	C₂²⋊Dic₆₁	—	4	1	no	—
483	C₂²⋊Dic₆₁	—	4	1	no	—
484	C₂²⋊Dic₆₁	—	4	1	no	—
485	#11758198	—	2	2	no	—
486	#11758198	—	2	2	no	—
487	#11758198	—	2	2	no	—
488	#11758198	—	4	1	no	—
489	#11758198	—	4	1	no	—
490	#11758198	—	4	1	no	—
491	#11758198	—	4	1	no	—
492	#11758198	—	4	1	no	—
493	#11758198	—	4	1	no	—
494	#11758198	—	4	1	no	—
495	#11758198	—	4	1	no	—
496	C₄⋊Dic₆₁	—	2	2	no	—
497	C₄⋊Dic₆₁	—	2	2	no	—
498	C₄⋊Dic₆₁	—	4	1	no	—
499	C₄⋊Dic₆₁	—	4	1	no	—
500	C₄⋊Dic₆₁	—	4	1	no	—
501	C₄⋊Dic₆₁	—	4	1	no	—
502	C₄⋊Dic₆₁	—	4	1	no	—
503	C₄⋊Dic₆₁	—	4	1	no	—
504	#11758196	—	2	2	no	—
505	#11758196	—	2	2	no	—
506	#11758196	—	2	2	no	—
507	#11758196	—	2	2	no	—
508	#11758196	—	2	2	no	—
509	#11758196	—	4	1	no	—
510	#11758196	—	4	1	no	—
511	#11758196	—	4	1	no	—
512	#11758196	—	4	1	no	—
513	#11758196	—	4	1	no	—
514	#11758196	—	4	1	no	—
515	#11758196	—	4	1	no	—
516	#11758196	—	4	1	no	—
517	#11758196	—	4	1	no	—
518	#11758196	—	4	1	no	—
519	#11758196	—	4	1	no	—
520	#11758196	—	4	1	no	—
521	#11758196	—	4	1	no	—
522	#11758196	—	4	1	no	—
523	#11758196	—	4	1	no	—
524	#11758196	—	4	1	no	—
525	#11758196	—	4	1	no	—
526	#11758196	—	4	1	no	—
527	#11758196	—	4	1	no	—
528	#11758196	—	4	1	no	—
529	#11758196	—	4	1	no	—
530	#11758196	—	4	1	no	—
531	C₄×Dic₆₁	—	2	2	no	—
532	C₄×Dic₆₁	—	2	2	no	—
533	C₄×Dic₆₁	—	4	1	no	—
534	C₄×Dic₆₁	—	4	1	no	—
535	C₄×Dic₆₁	—	4	1	no	—
536	C₄×Dic₆₁	—	4	1	no	—
537	C₄×Dic₆₁	—	4	1	no	—
538	C₂³×C₆₁	—	2	1	no	—
539	C₂³×C₆₁	—	2	1	no	—
540	C₂³×C₆₁	—	2	1	no	—
541	C₂³×C₆₁	—	2	1	no	—
542	C₂³×C₆₁	—	2	8	no	—
543	C₂³×C₆₁	—	2	1	no	—
544	C₂³×C₆₁	—	2	1	no	—
545	C₂³×C₆₁	—	2	1	no	—
546	C₂³×C₆₁	—	2	1	no	—
547	C₂³×C₆₁	—	2	1	no	—
548	C₂³×C₆₁	—	2	1	no	—
549	C₂³×C₆₁	—	2	1	no	—
550	C₂³×C₆₁	—	2	1	no	—
551	C₂³×C₆₁	—	2	1	no	—
552	C₂³×C₆₁	—	2	1	no	—
553	C₂³×C₆₁	—	2	1	no	—
554	C₂³×C₆₁	—	2	1	no	—
555	C₂³×C₆₁	—	4	4	no	—
556	C₂³×C₆₁	—	4	4	no	—
557	C₂³×C₆₁	—	4	4	no	—
558	C₂³×C₆₁	—	4	4	no	—
559	C₂³×C₆₁	—	4	4	no	—
560	C₂³×C₆₁	—	4	4	no	—
561	C₂³×C₆₁	C₂×#41	1	2	yes	—
562	C₂³×C₆₁	H(5,𝔽₂)	1	2	yes	—
563	C₂³×C₆₁	H(5,𝔽₂)	1	2	yes	—
564	C₂³×C₆₁	2₋¹⁺⁴	1	2	yes	—
565	C₂³×C₆₁	2₋¹⁺⁴	1	2	yes	—
566	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
567	C₂²×D₆₁	—	2	1	no	—
568	C₂²×D₆₁	—	2	1	no	—
569	C₂²×D₆₁	—	2	1	no	—
570	C₂²×D₆₁	—	2	1	no	—
571	C₂²×D₆₁	—	2	1	no	—
572	C₂²×D₆₁	—	2	1	no	—
573	C₂²×D₆₁	—	2	1	no	—
574	Q₈×C₆₁	—	8	2	no	—
575	C₂×C₄×C₆₁	—	2	1	no	—
576	C₂×C₄×C₆₁	—	2	1	no	—
577	C₂×C₄×C₆₁	—	2	1	no	—
578	C₂×C₄×C₆₁	—	2	1	no	—
579	C₂×C₄×C₆₁	—	2	1	no	—
580	C₂×C₄×C₆₁	—	2	1	no	—
581	C₂×C₄×C₆₁	—	2	1	no	—
582	C₂×C₄×C₆₁	—	2	1	no	—
583	C₂×C₄×C₆₁	—	2	1	no	—
584	C₂×C₄×C₆₁	—	2	1	no	—
585	C₂×C₄×C₆₁	—	2	1	no	—
586	C₂×C₄×C₆₁	—	2	1	no	—
587	C₂×C₄×C₆₁	—	2	1	no	—
588	C₂×C₄×C₆₁	—	2	1	no	—
589	C₂×C₄×C₆₁	—	2	1	no	—
590	C₂×C₄×C₆₁	—	2	1	no	—
591	C₂×C₄×C₆₁	—	2	1	no	—
592	C₂×C₄×C₆₁	—	2	1	no	—
593	C₂×C₄×C₆₁	—	2	1	no	—
594	C₂×C₄×C₆₁	—	2	1	no	—
595	C₂×C₄×C₆₁	—	2	1	no	—
596	C₂×C₄×C₆₁	—	2	1	no	—
597	C₂×C₄×C₆₁	—	2	1	no	—
598	C₂×C₄×C₆₁	—	2	1	no	—
599	C₂×C₄×C₆₁	—	2	1	no	—
600	C₂×C₄×C₆₁	—	2	1	no	—
601	C₂×C₄×C₆₁	—	2	1	no	—
602	C₂×C₄×C₆₁	—	2	1	no	—
603	C₂×C₄×C₆₁	—	2	1	no	—
604	C₂×C₄×C₆₁	—	2	1	no	—
605	C₂×C₄×C₆₁	—	2	1	no	—
606	C₂×C₄×C₆₁	—	2	1	no	—
607	C₂×C₄×C₆₁	—	2	1	no	—
608	C₂×C₄×C₆₁	—	2	1	no	—
609	C₂×C₄×C₆₁	—	2	1	no	—
610	C₂×C₄×C₆₁	—	4	4	no	—
611	C₂×C₄×C₆₁	—	4	4	no	—
612	C₂×C₄×C₆₁	—	4	4	no	—
613	C₂×C₄×C₆₁	—	4	4	no	—
614	C₂×C₄×C₆₁	—	4	4	no	—
615	C₂×C₄×C₆₁	—	4	4	no	—
616	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
617	C₂²⋊D₆₁	—	4	4	no	—
618	C₂²⋊D₆₁	—	8	2	no	—
619	C₂²⋊D₆₁	—	8	2	no	—
620	C₂×Dic₆₁	—	2	8	no	—
621	C₂×Dic₆₁	—	2	1	no	—
622	C₂×Dic₆₁	—	2	1	no	—
623	C₂×Dic₆₁	—	2	1	no	—
624	C₂×Dic₆₁	—	2	1	no	—
625	C₂×Dic₆₁	—	2	1	no	—
626	C₂×Dic₆₁	—	2	1	no	—
627	C₂×Dic₆₁	—	2	1	no	—
628	C₂×Dic₆₁	—	2	1	no	—
629	C₂×Dic₆₁	—	2	1	no	—
630	C₂×Dic₆₁	—	2	1	no	—
631	C₂×Dic₆₁	—	2	1	no	—
632	C₂×Dic₆₁	—	2	1	no	—
633	C₂×Dic₆₁	—	2	1	no	—
634	C₂×Dic₆₁	—	2	1	no	—
635	C₂×Dic₆₁	—	2	1	no	—
636	C₂×Dic₆₁	—	2	1	no	—
637	C₂×Dic₆₁	—	2	1	no	—
638	C₂×Dic₆₁	—	2	1	no	—
639	C₂×Dic₆₁	—	2	1	no	—
640	C₂×Dic₆₁	—	2	1	no	—
641	C₂×Dic₆₁	—	2	1	no	—
642	C₂×Dic₆₁	—	2	1	no	—
643	C₂×Dic₆₁	—	2	1	no	—
644	C₂×Dic₆₁	—	2	1	no	—
645	C₂×Dic₆₁	—	2	1	no	—
646	C₂×Dic₆₁	—	2	1	no	—
647	C₂×Dic₆₁	—	2	1	no	—
648	C₂×Dic₆₁	—	2	1	no	—
649	C₂×Dic₆₁	—	2	1	no	—
650	C₂×Dic₆₁	—	2	1	no	—
651	C₂×Dic₆₁	—	2	1	no	—
652	C₂×Dic₆₁	—	2	1	no	—
653	C₂×Dic₆₁	—	2	1	no	—
654	C₂×Dic₆₁	—	2	1	no	—
655	C₂×Dic₆₁	—	2	1	no	—
656	C₂×Dic₆₁	—	2	1	no	—
657	C₂×Dic₆₁	—	2	1	no	—
658	C₂×Dic₆₁	—	2	1	no	—
659	C₂×Dic₆₁	—	2	1	no	—
660	C₂×Dic₆₁	—	2	1	no	—
661	C₂×Dic₆₁	—	2	1	no	—
662	C₂×Dic₆₁	—	2	1	no	—
663	C₂×Dic₆₁	—	2	1	no	—
664	C₂×Dic₆₁	—	4	4	no	—
665	C₂×Dic₆₁	—	8	2	no	—
666	C₂×Dic₆₁	—	8	2	no	—
667	C₂×Dic₆₁	C₂×#41	1	2	yes	—
668	C₂×Dic₆₁	C₂×#41	1	2	yes	—
669	C₄×D₆₁	—	8	2	no	—
670	#36792	—	61	1	no	maximal, Sylow
671	C₂²×C₆₁	—	2	2	no	—
672	C₂²×C₆₁	—	2	2	no	—
673	C₂²×C₆₁	—	2	2	no	—
674	C₂²×C₆₁	—	2	2	no	—
675	C₂²×C₆₁	—	2	2	no	—
676	C₂²×C₆₁	—	2	2	no	—
677	C₂²×C₆₁	—	2	2	no	—
678	C₂²×C₆₁	—	2	2	no	—
679	C₂²×C₆₁	—	2	2	no	—
680	C₂²×C₆₁	—	2	2	no	—
681	C₂²×C₆₁	—	2	2	no	—
682	C₂²×C₆₁	—	2	2	no	—
683	C₂²×C₆₁	—	4	16	no	—
684	C₂²×C₆₁	—	4	1	no	—
685	C₂²×C₆₁	—	4	1	no	—
686	C₂²×C₆₁	—	4	1	no	—
687	C₂²×C₆₁	—	4	1	no	—
688	C₂²×C₆₁	—	4	1	no	—
689	C₂²×C₆₁	—	4	1	no	—
690	C₂²×C₆₁	—	4	1	no	—
691	C₂²×C₆₁	—	4	1	no	—
692	C₂²×C₆₁	#539	1	4	yes	—
693	C₂²×C₆₁	C₂²×#41	1	1	yes	characteristic
694	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
695	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
696	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
697	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
698	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
699	C₂²×C₆₁	#585	1	1	yes	characteristic
700	C₂×D₆₁	—	4	1	no	—
701	C₂×D₆₁	—	4	1	no	—
702	C₂×D₆₁	—	4	1	no	—
703	C₂×D₆₁	—	4	1	no	—
704	C₂×D₆₁	—	4	1	no	—
705	C₂×D₆₁	—	4	1	no	—
706	C₂×D₆₁	—	4	1	no	—
707	C₄×C₆₁	—	2	2	no	—
708	C₄×C₆₁	—	4	1	no	—
709	C₄×C₆₁	—	4	1	no	—
710	C₄×C₆₁	—	4	1	no	—
711	C₄×C₆₁	—	4	1	no	—
712	C₄×C₆₁	—	4	1	no	—
713	C₄×C₆₁	—	4	1	no	—
714	C₄×C₆₁	—	4	1	no	—
715	C₄×C₆₁	—	4	1	no	—
716	C₄×C₆₁	—	4	1	no	—
717	C₄×C₆₁	—	4	1	no	—
718	C₄×C₆₁	—	4	1	no	—
719	Dic₆₁	—	2	2	no	—
720	Dic₆₁	—	2	2	no	—
721	Dic₆₁	—	4	1	no	—
722	Dic₆₁	—	4	1	no	—
723	Dic₆₁	—	4	1	no	—
724	Dic₆₁	—	4	1	no	—
725	Dic₆₁	—	4	1	no	—
726	Dic₆₁	—	4	1	no	—
727	Dic₆₁	—	4	1	no	—
728	Dic₆₁	—	4	1	no	—
729	Dic₆₁	—	4	1	no	—
730	Dic₆₁	—	4	1	no	—
731	Dic₆₁	—	4	1	no	—
732	Dic₆₁	—	4	1	no	—
733	Dic₆₁	—	4	1	no	—
734	#2849	—	61	1	no	—
735	#2848	D₆₁	1	1	yes	characteristic, complemented
736	#2807	—	61	1	no	—
737	#2796	—	61	1	no	—
738	#2790	—	61	1	no	—
739	#2787	—	61	1	no	—
740	#2782	—	61	1	no	—
741	#2781	—	61	1	no	—
742	#2771	—	61	1	no	—
743	#2765	—	61	1	no	—
744	#2744	—	61	1	no	—
745	#2732	—	61	1	no	—
746	#2724	—	61	1	no	—
747	#2720	—	61	1	no	—
748	#2718	—	61	1	no	—
749	#2694	—	61	1	no	—
750	#2689	—	61	1	no	—
751	#2680	—	61	1	no	—
752	#2646	—	61	1	no	—
753	#2643	—	61	1	no	—
754	#2498	—	61	1	no	—
755	#2482	—	61	1	no	—
756	#2480	—	61	1	no	—
757	#2473	—	61	1	no	—
758	#2449	—	61	1	no	—
759	#2438	—	61	1	no	—
760	#2418	—	61	1	no	—
761	#2411	—	61	1	no	—
762	#2322	—	61	1	no	—
763	#2317	—	61	1	no	—
764	C₂×#385	—	61	1	no	—
765	C₂×C₆₁	—	2	4	no	—
766	C₂×C₆₁	—	4	2	no	—
767	C₂×C₆₁	—	4	2	no	—
768	C₂×C₆₁	C₂×#539	1	1	yes	characteristic
769	C₂×C₆₁	#3492	1	1	yes	characteristic
770	C₂×C₆₁	#3506	1	1	yes	characteristic
771	C₂×C₆₁	#3532	1	1	yes	characteristic
772	C₂×C₆₁	#3535	1	1	yes	characteristic
773	C₂×C₆₁	#3535	1	1	yes	characteristic
774	C₂×C₆₁	#3538	1	1	yes	characteristic
775	D₆₁	—	8	1	no	—
776	C₂⁴×C₄	C₂×D₆₁	1	1	yes	characteristic
777	C₂×#126	—	61	1	no	—
778	C₂×#125	—	61	1	no	—
779	C₂×#123	—	61	1	no	—
780	C₂×#123	—	61	1	no	—
781	C₂×#123	—	61	1	no	—
782	C₂×#123	—	61	1	no	—
783	C₂×C₂²⋊Q₈	—	61	1	no	—
784	C₂×C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic
785	C₂×C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic
786	C₂×C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic
787	C₂×#120	—	61	1	no	—
788	C₂×C₄×D₄	—	61	1	no	—
789	C₂×#117	—	61	1	no	—
790	C₂×#117	—	61	1	no	—
791	C₂²×C₄⋊C₄	—	61	1	no	—
792	C₂²×C₄⋊C₄	—	61	1	no	—
793	C₂²×C₂²⋊C₄	—	61	1	no	—
794	C₂²×C₂²⋊C₄	—	61	1	no	—
795	#401	—	61	1	no	—
796	#400	—	61	1	no	—
797	#400	—	61	1	no	—
798	#400	—	61	1	no	—
799	#400	—	61	1	no	—
800	#400	—	61	1	no	—
801	#400	—	61	1	no	—
802	#400	—	61	1	no	—
803	#400	—	61	1	no	—
804	#400	—	61	1	no	—
805	#400	—	61	1	no	—
806	#399	—	61	1	no	—
807	#399	—	61	1	no	—
808	#399	—	61	1	no	—
809	#399	—	61	1	no	—
810	#399	—	61	1	no	—
811	#398	—	61	1	no	—
812	#398	—	61	1	no	—
813	#398	—	61	1	no	—
814	#398	—	61	1	no	—
815	#398	—	61	1	no	—
816	#398	—	61	1	no	—
817	#398	—	61	1	no	—
818	#398	—	61	1	no	—
819	#398	—	61	1	no	—
820	#398	—	61	1	no	—
821	#398	—	61	1	no	—
822	#397	—	61	1	no	—
823	#397	—	61	1	no	—
824	#397	—	61	1	no	—
825	#397	—	61	1	no	—
826	#397	—	61	1	no	—
827	#397	—	61	1	no	—
828	#397	—	61	1	no	—
829	#397	—	61	1	no	—
830	#397	—	61	1	no	—
831	#397	—	61	1	no	—
832	#396	—	61	1	no	—
833	#396	—	61	1	no	—
834	#396	—	61	1	no	—
835	#396	—	61	1	no	—
836	#396	—	61	1	no	—
837	#395	—	61	1	no	—
838	#395	—	61	1	no	—
839	#394	—	61	1	no	—
840	#394	—	61	1	no	—
841	#394	—	61	1	no	—
842	#394	—	61	1	no	—
843	#391	—	61	1	no	—
844	#390	—	61	1	no	—
845	#390	—	61	1	no	—
846	#389	—	61	1	no	—
847	#389	—	61	1	no	—
848	#389	—	61	1	no	—
849	#389	—	61	1	no	—
850	#389	—	61	1	no	—
851	#389	—	61	1	no	—
852	#389	—	61	1	no	—
853	#389	—	61	1	no	—
854	#389	—	61	1	no	—
855	#388	—	61	1	no	—
856	#388	—	61	1	no	—
857	#388	—	61	1	no	—
858	#388	—	61	1	no	—
859	#388	—	61	1	no	—
860	#388	—	61	1	no	—
861	#388	—	61	1	no	—
862	#388	—	61	1	no	—
863	#388	—	61	1	no	—
864	#388	—	61	1	no	—
865	#388	—	61	1	no	—
866	#388	—	61	1	no	—
867	#388	—	61	1	no	—
868	#388	—	61	1	no	—
869	#388	—	61	1	no	—
870	#387	—	61	1	no	—
871	#387	—	61	1	no	—
872	#387	—	61	1	no	—
873	#387	—	61	1	no	—
874	#387	—	61	1	no	—
875	#387	—	61	1	no	—
876	#387	—	61	1	no	—
877	#387	—	61	1	no	—
878	#387	—	61	1	no	—
879	#386	—	61	1	no	—
880	#386	—	61	1	no	—
881	#386	—	61	1	no	—
882	#386	—	61	1	no	—
883	#386	—	61	1	no	—
884	#386	—	61	1	no	—
885	#386	—	61	1	no	—
886	#385	—	61	1	no	—
887	#385	—	61	1	no	—
888	#385	—	61	1	no	—
889	#385	—	61	1	no	—
890	#385	—	61	1	no	—
891	#385	—	61	1	no	—
892	#385	—	61	1	no	—
893	#385	—	61	1	no	—
894	#385	—	61	1	no	—
895	#385	—	61	1	no	—
896	#385	—	61	1	no	—
897	#385	—	61	1	no	—
898	#385	—	61	1	no	—
899	#385	—	61	1	no	—
900	#385	—	61	1	no	—
901	#385	—	61	1	no	—
902	#385	—	61	1	no	—
903	#385	—	61	1	no	—
904	#385	—	61	1	no	—
905	#385	—	61	1	no	—
906	#385	—	61	1	no	—
907	#385	C₂×D₆₁	1	1	yes	characteristic
908	#385	C₂×D₆₁	1	1	yes	characteristic
909	#385	C₂×D₆₁	1	1	yes	characteristic
910	#385	C₂×D₆₁	1	1	yes	characteristic
911	#385	C₂×D₆₁	1	1	yes	characteristic
912	#385	C₂×D₆₁	1	1	yes	characteristic
913	#384	—	61	1	no	—
914	#384	—	61	1	no	—
915	#382	—	61	1	no	—
916	#382	—	61	1	no	—
917	#381	—	61	1	no	—
918	#381	—	61	1	no	—
919	#381	—	61	1	no	—
920	#380	—	61	1	no	—
921	#380	—	61	1	no	—
922	#380	C₂×D₆₁	1	1	yes	characteristic
923	#380	C₂×D₆₁	1	1	yes	characteristic
924	#380	C₂×D₆₁	1	1	yes	characteristic
925	#379	—	61	1	no	—
926	#379	C₂×D₆₁	1	1	yes	characteristic
927	#379	C₂×D₆₁	1	1	yes	characteristic
928	C₄×C₂²⋊C₄	—	61	1	no	—
929	C₂×#95	—	61	1	no	—
930	C₂×#95	—	61	1	no	—
931	C₆₁	#36792	1	1	yes	characteristic, complemented, Sylow
932	C₂⁵	C₂²×D₆₁	1	1	yes	characteristic
933	C₂²×Q₈	C₂²×D₆₁	1	1	yes	characteristic
934	C₂²×D₄	—	61	1	no	—
935	C₂²×D₄	—	61	1	no	—
936	C₂²×D₄	—	61	1	no	—
937	C₂³×C₄	—	4	2	no	—
938	C₂³×C₄	—	4	2	no	—
939	C₂³×C₄	—	4	2	no	—
940	C₂³×C₄	—	61	1	no	—
941	C₂³×C₄	—	61	1	no	—
942	C₂³×C₄	—	61	1	no	—
943	C₂³×C₄	—	61	1	no	—
944	C₂³×C₄	—	61	1	no	—
945	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
946	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
947	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
948	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
949	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
950	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
951	#126	—	244	2	no	—
952	#125	—	244	2	no	—
953	#123	—	122	4	no	—
954	#123	—	244	2	no	—
955	#123	—	244	2	no	—
956	#123	—	244	2	no	—
957	C₂²⋊Q₈	—	4	2	no	—
958	C₂²⋊Q₈	—	4	2	no	—
959	C₂²⋊Q₈	—	4	2	no	—
960	C₂²⋊Q₈	—	244	2	no	—
961	#120	—	244	2	no	—
962	C₄×D₄	—	244	2	no	—
963	#117	—	122	4	no	—
964	#117	—	244	2	no	—
965	C₂×C₄⋊C₄	—	61	1	no	—
966	C₂×C₄⋊C₄	—	61	1	no	—
967	C₂×C₄⋊C₄	—	61	1	no	—
968	C₂×C₄⋊C₄	—	61	1	no	—
969	C₂×C₄⋊C₄	—	61	1	no	—
970	C₂×C₄⋊C₄	—	61	1	no	—
971	C₂×C₄⋊C₄	—	61	1	no	—
972	C₂×C₄⋊C₄	—	61	1	no	—
973	C₂×C₄⋊C₄	—	61	1	no	—
974	C₂×C₄⋊C₄	—	61	1	no	—
975	C₂×C₄⋊C₄	—	61	1	no	—
976	C₂×C₄⋊C₄	—	61	1	no	—
977	C₂×C₄⋊C₄	—	61	1	no	—
978	C₂×C₄⋊C₄	—	61	1	no	—
979	C₂×C₄⋊C₄	—	61	1	no	—
980	C₂×C₄⋊C₄	—	61	1	no	—
981	C₂×C₄⋊C₄	—	61	1	no	—
982	C₂×C₄⋊C₄	—	61	1	no	—
983	C₂×C₄⋊C₄	—	61	1	no	—
984	C₂×C₄⋊C₄	—	61	1	no	—
985	C₂×C₄⋊C₄	—	61	1	no	—
986	C₂×C₄⋊C₄	—	61	1	no	—
987	C₂×C₄⋊C₄	—	61	1	no	—
988	C₂×C₄⋊C₄	—	61	1	no	—
989	C₂×C₄⋊C₄	—	61	1	no	—
990	C₂×C₄⋊C₄	—	61	1	no	—
991	C₂×C₄⋊C₄	—	61	1	no	—
992	C₂×C₄⋊C₄	—	61	1	no	—
993	C₂×C₄⋊C₄	—	61	1	no	—
994	C₂×C₄⋊C₄	—	61	1	no	—
995	C₂×C₄⋊C₄	—	61	1	no	—
996	C₂×C₄⋊C₄	—	61	1	no	—
997	C₂×C₄⋊C₄	—	61	1	no	—
998	C₂×C₄⋊C₄	—	61	1	no	—
999	C₂×C₄⋊C₄	—	61	1	no	—
1000	C₂×C₄⋊C₄	—	244	2	no	—
1001	C₂×C₄⋊C₄	—	244	2	no	—
1002	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	—	61	1	no	—
1012	C₂×C₂²⋊C₄	—	61	1	no	—
1013	C₂×C₂²⋊C₄	—	61	1	no	—
1014	C₂×C₂²⋊C₄	—	61	1	no	—
1015	C₂×C₂²⋊C₄	—	61	1	no	—
1016	C₂×C₂²⋊C₄	—	61	1	no	—
1017	C₂×C₂²⋊C₄	—	61	1	no	—
1018	C₂×C₂²⋊C₄	—	61	1	no	—
1019	C₂×C₂²⋊C₄	—	61	1	no	—
1020	C₂×C₂²⋊C₄	—	61	1	no	—
1021	C₂×C₂²⋊C₄	—	61	1	no	—
1022	C₂×C₂²⋊C₄	—	61	1	no	—
1023	C₂×C₂²⋊C₄	—	61	1	no	—
1024	C₂×C₂²⋊C₄	—	61	1	no	—
1025	C₂×C₂²⋊C₄	—	61	1	no	—
1026	C₂×C₂²⋊C₄	—	61	1	no	—
1027	C₂×C₂²⋊C₄	—	61	1	no	—
1028	C₂×C₂²⋊C₄	—	61	1	no	—
1029	C₂×C₂²⋊C₄	—	61	1	no	—
1030	C₂×C₂²⋊C₄	—	61	1	no	—
1031	C₂×C₂²⋊C₄	—	61	1	no	—
1032	C₂×C₂²⋊C₄	—	61	1	no	—
1033	C₂×C₂²⋊C₄	—	61	1	no	—
1034	C₂×C₂²⋊C₄	—	61	1	no	—
1035	C₂×C₂²⋊C₄	—	61	1	no	—
1036	C₂×C₂²⋊C₄	—	61	1	no	—
1037	C₂×C₂²⋊C₄	—	61	1	no	—
1038	C₂×C₂²⋊C₄	—	61	1	no	—
1039	C₂×C₂²⋊C₄	—	122	4	no	—
1040	C₂×C₂²⋊C₄	—	244	2	no	—
1041	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1053	C₂×C₄²	—	61	1	no	—
1054	C₂×C₄²	—	61	1	no	—
1055	C₂×C₄²	—	61	1	no	—
1056	C₂×C₄²	—	61	1	no	—
1057	C₂×C₄²	—	61	1	no	—
1058	C₂×C₄²	—	61	1	no	—
1059	C₂×C₄²	—	61	1	no	—
1060	#95	—	61	1	no	—
1061	#95	—	61	1	no	—
1062	#95	—	61	1	no	—
1063	#95	—	61	1	no	—
1064	#95	—	61	1	no	—
1065	#95	—	61	1	no	—
1066	#95	—	61	1	no	—
1067	#95	—	61	1	no	—
1068	#95	—	61	1	no	—
1069	#95	—	61	1	no	—
1070	#95	—	61	1	no	—
1071	#95	—	61	1	no	—
1072	#95	—	61	1	no	—
1073	#95	—	61	1	no	—
1074	#95	—	61	1	no	—
1075	#95	—	61	1	no	—
1076	#95	—	61	1	no	—
1077	#95	—	61	1	no	—
1078	#95	—	61	1	no	—
1079	#95	—	61	1	no	—
1080	#95	—	61	1	no	—
1081	#95	—	61	1	no	—
1082	#95	—	61	1	no	—
1083	#95	—	61	1	no	—
1084	#95	—	61	1	no	—
1085	#95	—	61	1	no	—
1086	#95	—	61	1	no	—
1087	#95	—	61	1	no	—
1088	#95	—	61	1	no	—
1089	#95	—	61	1	no	—
1090	#95	—	61	1	no	—
1091	#95	—	61	1	no	—
1092	#95	—	61	1	no	—
1093	#95	—	61	1	no	—
1094	#95	—	61	1	no	—
1095	#95	—	61	1	no	—
1096	#95	—	61	1	no	—
1097	#95	—	61	1	no	—
1098	#95	—	61	1	no	—
1099	#95	—	61	1	no	—
1100	#95	—	61	1	no	—
1101	#95	—	61	1	no	—
1102	#95	C₂²×D₆₁	1	1	yes	characteristic
1103	#95	C₂²×D₆₁	1	1	yes	characteristic
1104	#95	C₂²×D₆₁	1	1	yes	characteristic
1105	#95	C₂²×D₆₁	1	1	yes	characteristic
1106	#95	C₂²×D₆₁	1	1	yes	characteristic
1107	#95	C₂²×D₆₁	1	1	yes	characteristic
1108	C₂⁴	—	2	2	no	—
1109	C₂⁴	—	2	2	no	—
1110	C₂⁴	—	2	2	no	—
1111	C₂⁴	—	2	2	no	—
1112	C₂⁴	—	2	2	no	—
1113	C₂⁴	—	4	1	no	—
1114	C₂⁴	—	4	1	no	—
1115	C₂⁴	—	61	1	no	—
1116	C₂⁴	C₂³×D₆₁	1	1	yes	characteristic
1117	C₂⁴	C₂³×D₆₁	1	1	yes	characteristic
1118	C₂⁴	C₂³×D₆₁	1	1	yes	characteristic
1119	C₂×Q₈	—	2	2	no	—
1120	C₂×Q₈	—	4	1	no	—
1121	C₂×Q₈	—	4	1	no	—
1122	C₂×D₄	—	122	2	no	—
1123	C₂×D₄	—	122	2	no	—
1124	C₂×D₄	—	122	2	no	—
1125	C₂×D₄	—	122	2	no	—
1126	C₂×D₄	—	122	2	no	—
1127	C₂×D₄	—	244	1	no	—
1128	C₂×D₄	—	244	1	no	—
1129	C₂×D₄	—	244	1	no	—
1130	C₂×D₄	—	244	1	no	—
1131	C₂²×C₄	—	2	2	no	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	4	1	no	—
1141	C₂²×C₄	—	4	1	no	—
1142	C₂²×C₄	—	4	1	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	16	no	—
1150	C₂²×C₄	—	61	4	no	—
1151	C₂²×C₄	—	61	1	no	—
1152	C₂²×C₄	—	61	1	no	—
1153	C₂²×C₄	—	61	1	no	—
1154	C₂²×C₄	—	61	1	no	—
1155	C₂²×C₄	—	61	1	no	—
1156	C₂²×C₄	—	61	1	no	—
1157	C₂²×C₄	—	61	1	no	—
1158	C₂²×C₄	—	61	1	no	—
1159	C₂²×C₄	—	61	1	no	—
1160	C₂²×C₄	—	61	1	no	—
1161	C₂²×C₄	—	61	1	no	—
1162	C₂²×C₄	—	61	1	no	—
1163	C₂²×C₄	—	61	1	no	—
1164	C₂²×C₄	—	61	1	no	—
1165	C₂²×C₄	—	61	1	no	—
1166	C₂²×C₄	—	122	2	no	—
1167	C₂²×C₄	—	122	2	no	—
1168	C₂²×C₄	—	122	2	no	—
1169	C₂²×C₄	—	122	2	no	—
1170	C₂²×C₄	—	122	2	no	—
1171	C₂²×C₄	—	244	1	no	—
1172	C₂²×C₄	—	244	1	no	—
1173	C₂²×C₄	—	244	1	no	—
1174	C₂²×C₄	—	244	1	no	—
1175	C₂²×C₄	—	244	1	no	—
1176	C₂²×C₄	—	244	1	no	—
1177	C₂²×C₄	—	244	1	no	—
1178	C₂²×C₄	—	244	1	no	—
1179	C₂²×C₄	—	244	1	no	—
1180	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	122	2	no	—
1202	C₄⋊C₄	—	122	2	no	—
1203	C₄⋊C₄	—	122	2	no	—
1204	C₄⋊C₄	—	122	2	no	—
1205	C₄⋊C₄	—	122	2	no	—
1206	C₄⋊C₄	—	122	2	no	—
1207	C₄⋊C₄	—	122	2	no	—
1208	C₄⋊C₄	—	244	1	no	—
1209	C₄⋊C₄	—	244	1	no	—
1210	C₄⋊C₄	—	244	1	no	—
1211	C₄⋊C₄	—	244	1	no	—
1212	C₄⋊C₄	—	244	1	no	—
1213	C₄⋊C₄	—	244	1	no	—
1214	C₄⋊C₄	—	244	1	no	—
1215	C₄⋊C₄	—	244	1	no	—
1216	C₄⋊C₄	—	244	1	no	—
1217	C₄⋊C₄	—	244	1	no	—
1218	C₄⋊C₄	—	244	1	no	—
1219	C₄⋊C₄	—	244	1	no	—
1220	C₄⋊C₄	—	244	1	no	—
1221	C₄⋊C₄	—	244	1	no	—
1222	C₄⋊C₄	—	244	1	no	—
1223	C₄⋊C₄	—	244	1	no	—
1224	C₄⋊C₄	—	244	1	no	—
1225	C₄⋊C₄	—	244	1	no	—
1226	C₄⋊C₄	—	244	1	no	—
1227	C₄⋊C₄	—	244	1	no	—
1228	C₄⋊C₄	—	244	1	no	—
1229	C₄⋊C₄	—	244	1	no	—
1230	C₄⋊C₄	—	244	1	no	—
1231	C₄⋊C₄	—	244	1	no	—
1232	C₄⋊C₄	—	244	1	no	—
1233	C₄⋊C₄	—	244	1	no	—
1234	C₄⋊C₄	—	244	1	no	—
1235	C₄⋊C₄	—	244	1	no	—
1236	C₂²⋊C₄	—	2	2	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	2	no	—
1244	C₂²⋊C₄	—	4	1	no	—
1245	C₂²⋊C₄	—	4	1	no	—
1246	C₂²⋊C₄	—	4	1	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	122	2	no	—
1249	C₂²⋊C₄	—	122	2	no	—
1250	C₂²⋊C₄	—	122	2	no	—
1251	C₂²⋊C₄	—	122	2	no	—
1252	C₂²⋊C₄	—	122	2	no	—
1253	C₂²⋊C₄	—	122	2	no	—
1254	C₂²⋊C₄	—	122	2	no	—
1255	C₂²⋊C₄	—	122	2	no	—
1256	C₂²⋊C₄	—	122	2	no	—
1257	C₂²⋊C₄	—	122	2	no	—
1258	C₂²⋊C₄	—	122	2	no	—
1259	C₂²⋊C₄	—	122	2	no	—
1260	C₂²⋊C₄	—	122	2	no	—
1261	C₂²⋊C₄	—	122	2	no	—
1262	C₂²⋊C₄	—	244	1	no	—
1263	C₂²⋊C₄	—	244	1	no	—
1264	C₂²⋊C₄	—	244	1	no	—
1265	C₂²⋊C₄	—	244	1	no	—
1266	C₂²⋊C₄	—	244	1	no	—
1267	C₂²⋊C₄	—	244	1	no	—
1268	C₂²⋊C₄	—	244	1	no	—
1269	C₂²⋊C₄	—	244	1	no	—
1270	C₂²⋊C₄	—	244	1	no	—
1271	C₂²⋊C₄	—	244	1	no	—
1272	C₂²⋊C₄	—	244	1	no	—
1273	C₂²⋊C₄	—	244	1	no	—
1274	C₂²⋊C₄	—	244	1	no	—
1275	C₂²⋊C₄	—	244	1	no	—
1276	C₄²	—	122	2	no	—
1277	C₄²	—	122	2	no	—
1278	C₄²	—	244	1	no	—
1279	C₄²	—	244	1	no	—
1280	C₄²	—	244	1	no	—
1281	C₄²	—	244	1	no	—
1282	C₄²	—	244	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	8	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	4	4	no	—
1301	C₂³	—	4	4	no	—
1302	C₂³	—	4	4	no	—
1303	C₂³	—	4	4	no	—
1304	C₂³	—	4	4	no	—
1305	C₂³	—	4	4	no	—
1306	C₂³	—	122	1	no	—
1307	C₂³	—	122	1	no	—
1308	C₂³	—	122	1	no	—
1309	C₂³	—	122	1	no	—
1310	C₂³	—	122	1	no	—
1311	C₂³	—	122	1	no	—
1312	C₂³	—	122	1	no	—
1313	C₂³	#41×D₆₁	1	2	yes	—
1314	C₂³	#14519822	1	2	yes	—
1315	C₂³	#14519822	1	2	yes	—
1316	C₂³	#14519824	1	2	yes	—
1317	C₂³	#14519825	1	2	yes	—
1318	C₂³	C₂⁴×D₆₁	1	1	yes	characteristic
1319	Q₈	—	8	2	no	—
1320	D₄	—	488	2	no	—
1321	D₄	—	488	2	no	—
1322	D₄	—	244	4	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	4	4	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	4	no	—
1362	C₂×C₄	—	4	4	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	61	2	no	—
1365	C₂×C₄	—	61	2	no	—
1366	C₂×C₄	—	122	1	no	—
1367	C₂×C₄	—	122	1	no	—
1368	C₂×C₄	—	122	1	no	—
1369	C₂×C₄	—	122	1	no	—
1370	C₂×C₄	—	122	8	no	—
1371	C₂×C₄	—	122	1	no	—
1372	C₂×C₄	—	122	1	no	—
1373	C₂×C₄	—	122	1	no	—
1374	C₂×C₄	—	122	1	no	—
1375	C₂×C₄	—	122	1	no	—
1376	C₂×C₄	—	122	1	no	—
1377	C₂×C₄	—	122	1	no	—
1378	C₂×C₄	—	122	1	no	—
1379	C₂×C₄	—	122	1	no	—
1380	C₂×C₄	—	122	1	no	—
1381	C₂×C₄	—	122	1	no	—
1382	C₂×C₄	—	122	1	no	—
1383	C₂×C₄	—	122	1	no	—
1384	C₂×C₄	—	122	1	no	—
1385	C₂×C₄	—	122	1	no	—
1386	C₂×C₄	—	122	1	no	—
1387	C₂×C₄	—	122	1	no	—
1388	C₂×C₄	—	122	1	no	—
1389	C₂×C₄	—	122	1	no	—
1390	C₂×C₄	—	122	1	no	—
1391	C₂×C₄	—	122	1	no	—
1392	C₂×C₄	—	122	1	no	—
1393	C₂×C₄	—	122	1	no	—
1394	C₂×C₄	—	122	1	no	—
1395	C₂×C₄	—	122	1	no	—
1396	C₂×C₄	—	122	1	no	—
1397	C₂×C₄	—	122	1	no	—
1398	C₂×C₄	—	122	1	no	—
1399	C₂×C₄	—	122	1	no	—
1400	C₂×C₄	—	122	1	no	—
1401	C₂×C₄	—	122	1	no	—
1402	C₂×C₄	—	122	1	no	—
1403	C₂×C₄	—	122	1	no	—
1404	C₂×C₄	—	122	1	no	—
1405	C₂×C₄	—	122	1	no	—
1406	C₂×C₄	—	122	1	no	—
1407	C₂×C₄	—	122	1	no	—
1408	C₂×C₄	—	122	1	no	—
1409	C₂×C₄	—	122	1	no	—
1410	C₂×C₄	—	488	2	no	—
1411	C₂×C₄	—	488	2	no	—
1412	C₂×C₄	—	488	2	no	—
1413	C₂×C₄	—	244	4	no	—
1414	C₂×C₄	#14519822	1	2	yes	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	4	16	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	244	1	no	—
1437	C₂²	—	244	1	no	—
1438	C₂²	—	244	1	no	—
1439	C₂²	—	244	1	no	—
1440	C₂²	—	244	1	no	—
1441	C₂²	—	244	1	no	—
1442	C₂²	—	244	1	no	—
1443	C₂²	#16840358	1	4	yes	—
1444	C₂²	C₂×#41×D₆₁	1	1	yes	characteristic
1445	C₂²	C₂×#14519822	1	1	yes	characteristic
1446	C₂²	C₂×#14519822	1	1	yes	characteristic
1447	C₂²	C₂×#14519822	1	1	yes	characteristic
1448	C₂²	C₂×#14519824	1	1	yes	characteristic
1449	C₂²	C₂×#14519825	1	1	yes	characteristic
1450	C₂²	#16840598	1	1	yes	characteristic
1451	C₄	—	2	2	no	—
1452	C₄	—	4	1	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	122	2	no	—
1464	C₄	—	122	2	no	—
1465	C₄	—	244	1	no	—
1466	C₄	—	244	1	no	—
1467	C₄	—	244	1	no	—
1468	C₄	—	244	1	no	—
1469	C₄	—	244	1	no	—
1470	C₄	—	244	1	no	—
1471	C₄	—	244	1	no	—
1472	C₄	—	244	1	no	—
1473	C₄	—	244	1	no	—
1474	C₄	—	244	1	no	—
1475	C₄	—	244	1	no	—
1476	C₄	—	244	1	no	—
1477	C₄	—	244	1	no	—
1478	C₂	—	2	4	no	—
1479	C₂	—	4	2	no	—
1480	C₂	—	4	2	no	—
1481	C₂	—	488	1	no	—
1482	C₂	C₂×#16840358	1	1	yes	characteristic
1483	C₂	#21459520	1	1	yes	characteristic
1484	C₂	#21459662	1	1	yes	characteristic
1485	C₂	#21459974	1	1	yes	characteristic
1486	C₂	#21460022	1	1	yes	characteristic
1487	C₂	#21460028	1	1	yes	characteristic
1488	C₂	#21460064	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₆₁
commutator, socle, cosocle	C₂³×C₆₁	C₂⁵
Fitting	C₆₁×#2848	C₂
prime radical	C₂×#14519746	C₂²
hypercenter	#2848	D₆₁
hypocenter	C₆₁	#36792
LCS	G ▷ C₂³×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂³ ◁ #2848

Complements

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

N	H ≅ G/N	type
2. #21453791	C₂	semidirect
3. #21453657	C₂	semidirect
4. #21453592	C₂	semidirect
5. #21453546	C₂	semidirect
6. #21453494	C₂	semidirect
7. #21453483	C₂	semidirect
8. #21453337	C₂	semidirect
9. #21453258	C₂	semidirect
10. #21452969	C₂	semidirect
11. #21452834	C₂	semidirect
12. #21452750	C₂	semidirect
13. #21452693	C₂	semidirect
14. #21452673	C₂	semidirect
15. #21452339	C₂	semidirect
16. #21452266	C₂	semidirect
17. #21452158	C₂	semidirect
18. #21451791	C₂	semidirect
19. #21451775	C₂	semidirect
20. #21450259	C₂	semidirect
21. #21450090	C₂	semidirect
22. #21450062	C₂	semidirect
23. #21449965	C₂	semidirect
24. #21449624	C₂	semidirect
25. #21449491	C₂	semidirect
28. #21448487	C₂	semidirect
29. #21448438	C₂	semidirect
30. C₂×#16839635	C₂	semidirect
31. C₆₁×#2848	C₂	semidirect
33. C₂×#14519767	C₂²	semidirect
38. C₂×#14519753	C₂²	semidirect
47. C₆₁⋊#401	C₂²	semidirect
48. #16839704	C₂²	semidirect
49. #16839704	C₂²	semidirect
50. #16839703	C₂²	semidirect
51. #16839703	C₂²	semidirect
52. #16839703	C₂²	semidirect
53. #16839702	C₂²	semidirect
54. #16839701	C₂²	semidirect
55. #16839700	C₂²	semidirect
56. #16839700	C₂²	semidirect
57. #16839700	C₂²	semidirect
61. #16839697	C₂²	semidirect
62. #16839697	C₂²	semidirect
63. #16839696	C₂²	semidirect
64. #16839696	C₂²	semidirect
65. #16839695	C₂²	semidirect
66. #16839695	C₂²	semidirect
67. #16839695	C₂²	semidirect
68. #16839695	C₂²	semidirect
69. #16839695	C₂²	semidirect
70. #16839693	C₂²	semidirect
71. #16839693	C₂²	semidirect
72. #16839692	C₂²	semidirect
73. #16839692	C₂²	semidirect
74. #16839691	C₂²	semidirect
75. #16839691	C₂²	semidirect
81. #16839689	C₂²	semidirect
82. #16839688	C₂²	semidirect
87. #16839684	C₂²	semidirect
88. #16839684	C₂²	semidirect
89. #16839681	C₂²	semidirect
90. #16839681	C₂²	semidirect
95. #16839669	C₂²	semidirect
98. #16839659	C₂²	semidirect
99. #16839659	C₂²	semidirect
100. #16839659	C₂²	semidirect
101. #16839658	C₂²	semidirect
102. #16839658	C₂²	semidirect
103. #16839658	C₂²	semidirect
104. #16839658	C₂²	semidirect
105. #16839657	C₂²	semidirect
106. #16839657	C₂²	semidirect
117. #16839652	C₂²	semidirect
118. #16839651	C₂²	semidirect
119. #16839651	C₂²	semidirect
120. #16839651	C₂²	semidirect
122. #16839649	C₂²	semidirect
123. #16839648	C₂²	semidirect
124. #16839645	C₂²	semidirect
125. #16839645	C₂²	semidirect
126. #16839644	C₂²	semidirect
127. #16839643	C₂²	semidirect
128. #16839643	C₂²	semidirect
129. #16839643	C₂²	semidirect
130. #16839643	C₂²	semidirect
156. #16839633	C₂²	semidirect
157. #16839633	C₂²	semidirect
158. #16839633	C₂²	semidirect
159. #16839631	C₂²	semidirect
160. #16839631	C₂²	semidirect
161. #16839626	C₂²	semidirect
162. #16839626	C₂²	semidirect
735. #2848	D₆₁	semidirect
931. C₆₁	#36792	semidirect

Maximal subgroups

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

subgroup	index
#21454111	2
#21453791	2
#21453657	2
#21453592	2
#21453546	2
#21453494	2
#21453483	2
#21453337	2
#21453258	2
#21452969	2
#21452834	2
#21452750	2
#21452693	2
#21452673	2
#21452339	2
#21452266	2
#21452158	2
#21451791	2
#21451775	2
#21450259	2
#21450090	2
#21450062	2
#21449965	2
#21449624	2
#21449491	2
#21449285	2
#21449206	2
#21448487	2
#21448438	2
C₂×#16839635	2
C₆₁×#2848	2
#36792	61