Subgroups — #29851268

Order 15616.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21451277	C₂	1	1	yes	maximal, characteristic, complemented
2	#21451269	C₂	1	1	yes	maximal, characteristic, complemented
3	#21451245	C₂	1	1	yes	maximal, characteristic, complemented
4	#21451237	C₂	1	1	yes	maximal, characteristic, complemented
5	#21451205	C₂	1	1	yes	maximal, characteristic, complemented
6	#21451176	C₂	1	1	yes	maximal, characteristic
7	#21451017	C₂	1	1	yes	maximal, characteristic
8	#21450837	C₂	1	1	yes	maximal, characteristic, complemented
9	#21450535	C₂	1	1	yes	maximal, characteristic, complemented
10	#21450533	C₂	1	1	yes	maximal, characteristic, complemented
11	#21450367	C₂	1	1	yes	maximal, characteristic, complemented
12	#21450345	C₂	1	1	yes	maximal, characteristic, complemented
13	#21449838	C₂	1	1	yes	maximal, characteristic, complemented
14	#21449836	C₂	1	1	yes	maximal, characteristic, complemented
15	#21449690	C₂	1	1	yes	maximal, characteristic
16	#21449668	C₂	1	1	yes	maximal, characteristic
17	#21449095	C₂	1	1	yes	maximal, characteristic, complemented
18	#21449093	C₂	1	1	yes	maximal, characteristic, complemented
19	#21449093	C₂	1	1	yes	maximal, characteristic, complemented
20	#21449089	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#14519775	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#14519767	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#14519767	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#14519755	C₂	1	1	yes	maximal, characteristic, complemented
25	#21448302	C₂	1	1	yes	maximal, characteristic, complemented
26	#21448299	C₂	1	1	yes	maximal, characteristic, complemented
27	#21448282	C₂	1	1	yes	maximal, characteristic
28	#21448282	C₂	1	1	yes	maximal, characteristic
29	C₄×#14519742	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄²×C₂²⋊D₆₁	C₂	1	1	yes	maximal, characteristic
31	C₄×C₂²⋊Q₈×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14519775	C₂²	1	1	yes	characteristic
33	C₂×#14519767	C₂²	1	1	yes	characteristic
34	C₂×#14519767	C₂²	1	1	yes	characteristic
35	C₂×#14519755	C₂²	1	1	yes	characteristic
36	C₂×C₄×Dic₁₂₂	C₂²	1	1	yes	characteristic
37	C₂×C₄×Dic₁₂₂	C₂²	1	1	yes	characteristic
38	C₂×#14519742	C₂²	1	1	yes	characteristic
39	C₂×#14519742	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₂²⋊D₆₁	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₂²⋊D₆₁	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₂²⋊D₆₁	C₂²	1	1	yes	characteristic
43	C₂×#14519736	C₂²	1	1	yes	characteristic
44	C₂×#14519736	C₂²	1	1	yes	characteristic
45	C₂×#14519734	C₂²	1	1	yes	characteristic
46	C₂×#14519734	C₂²	1	1	yes	characteristic
47	C₂×C₄²×D₆₁	C₂²	1	1	yes	characteristic
48	#16839704	C₂²	1	1	yes	characteristic
49	#16839704	C₂²	1	1	yes	characteristic
50	#16839703	C₂²	1	1	yes	characteristic
51	#16839700	C₂²	1	1	yes	characteristic
52	#16839698	C₂²	1	1	yes	characteristic
53	#16839698	C₂²	1	1	yes	characteristic
54	#16839697	C₂²	1	1	yes	characteristic
55	#16839697	C₂²	1	1	yes	characteristic
56	#16839696	C₂²	1	1	yes	characteristic
57	#16839696	C₂²	1	1	yes	characteristic
58	#16839696	C₂²	1	1	yes	characteristic
59	#16839695	C₂²	1	1	yes	characteristic
60	#16839695	C₂²	1	1	yes	characteristic
61	#16839694	C₂²	1	1	yes	characteristic
62	#16839694	C₂²	1	1	yes	characteristic
63	#16839693	C₂²	1	1	yes	characteristic
64	#16839686	C₂²	1	1	yes	characteristic
65	#16839685	C₂²	1	1	yes	characteristic
66	#16839685	C₂²	1	1	yes	characteristic
67	#16839685	C₂²	1	1	yes	characteristic
68	#16839685	C₂²	1	1	yes	characteristic
69	#16839684	C₂²	1	1	yes	characteristic
70	#16839684	C₂²	1	1	yes	characteristic
71	#16839684	C₂²	1	1	yes	characteristic
72	#16839683	C₂²	1	1	yes	characteristic
73	#16839683	C₂²	1	1	yes	characteristic
74	#16839682	C₂²	1	1	yes	characteristic
75	#16839681	C₂²	1	1	yes	characteristic
76	#16839675	C₂²	1	1	yes	characteristic
77	#16839674	C₂²	1	1	yes	characteristic
78	#16839674	C₂²	1	1	yes	characteristic
79	#16839673	C₂²	1	1	yes	characteristic
80	#16839669	C₂²	1	1	yes	characteristic
81	#16839667	C₂²	1	1	yes	characteristic
82	#16839666	C₂²	1	1	yes	characteristic
83	#16839662	C₂²	1	1	yes	characteristic
84	#16839662	C₂²	1	1	yes	characteristic
85	#16839662	C₂²	1	1	yes	characteristic
86	#16839662	C₂²	1	1	yes	characteristic
87	#16839660	C₂²	1	1	yes	characteristic
88	#16839660	C₂²	1	1	yes	characteristic
89	#16839660	C₂²	1	1	yes	characteristic
90	#16839660	C₂²	1	1	yes	characteristic
91	#16839659	C₂²	1	1	yes	characteristic
92	#16839659	C₂²	1	1	yes	characteristic
93	#16839659	C₂²	1	1	yes	characteristic
94	#16839659	C₂²	1	1	yes	characteristic
95	#16839659	C₂²	1	1	yes	characteristic
96	#16839659	C₂²	1	1	yes	characteristic
97	#16839659	C₂²	1	1	yes	characteristic
98	#16839659	C₂²	1	1	yes	characteristic
99	#16839657	C₂²	1	1	yes	characteristic
100	#16839657	C₂²	1	1	yes	characteristic
101	#16839657	C₂²	1	1	yes	characteristic
102	#16839657	C₂²	1	1	yes	characteristic
103	#16839657	C₂²	1	1	yes	characteristic
104	#16839657	C₂²	1	1	yes	characteristic
105	#16839657	C₂²	1	1	yes	characteristic
106	#16839657	C₂²	1	1	yes	characteristic
107	#16839657	C₂²	1	1	yes	characteristic
108	#16839654	C₂²	1	1	yes	characteristic
109	#16839654	C₂²	1	1	yes	characteristic
110	#16839654	C₂²	1	1	yes	characteristic
111	#16839654	C₂²	1	1	yes	characteristic
112	#16839650	C₂²	1	1	yes	characteristic
113	#16839650	C₂²	1	1	yes	characteristic
114	#16839650	C₂²	1	1	yes	characteristic
115	#16839650	C₂²	1	1	yes	characteristic
116	#16839648	C₂²	1	1	yes	characteristic
117	#16839648	C₂²	1	1	yes	characteristic
118	#16839648	C₂²	1	1	yes	characteristic
119	#16839647	C₂²	1	1	yes	characteristic
120	#16839647	C₂²	1	1	yes	characteristic
121	#16839644	C₂²	1	1	yes	characteristic
122	#16839644	C₂²	1	1	yes	characteristic
123	#16839644	C₂²	1	1	yes	characteristic
124	#16839643	C₂²	1	1	yes	characteristic
125	#16839643	C₂²	1	1	yes	characteristic
126	#16839636	C₂²	1	1	yes	characteristic
127	#16839636	C₂²	1	1	yes	characteristic
128	#16839636	C₂²	1	1	yes	characteristic
129	#16839635	C₂²	1	1	yes	characteristic
130	#16839635	C₂²	1	1	yes	characteristic
131	#16839635	C₂²	1	1	yes	characteristic
132	#16839635	C₂²	1	1	yes	characteristic
133	#16839633	C₂²	1	1	yes	characteristic
134	#16839633	C₂²	1	1	yes	characteristic
135	#16839633	C₂²	1	1	yes	characteristic
136	#16839631	C₂²	1	1	yes	characteristic
137	#16839626	C₂²	1	1	yes	characteristic
138	#16839626	C₂²	1	1	yes	characteristic
139	#16839621	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×Dic₆₁	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₆₁	C₂²	1	1	yes	characteristic
142	C₄×#11758196	C₂²	1	1	yes	characteristic
143	C₄×#11758196	C₂²	1	1	yes	characteristic
144	C₄×#11758196	C₂²	1	1	yes	characteristic
145	C₄×#11758196	C₂²	1	1	yes	characteristic
146	C₄×#11758196	C₂²	1	1	yes	characteristic
147	C₄×#11758196	C₂²	1	1	yes	characteristic
148	C₄×#11758196	C₂²	1	1	yes	characteristic
149	C₄×#11758196	C₂²	1	1	yes	characteristic
150	C₄×#11758196	C₂²	1	1	yes	characteristic
151	C₄×#11758196	C₂²	1	1	yes	characteristic
152	C₄×#11758196	C₂²	1	1	yes	characteristic
153	C₄×#11758196	C₂²	1	1	yes	characteristic
154	C₄×#11758196	C₂²	1	1	yes	characteristic
155	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic
156	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic
157	#16839613	C₂²	1	1	yes	characteristic
158	#16839613	C₂²	1	1	yes	characteristic
159	#16839613	C₂²	1	1	yes	characteristic
160	#16839613	C₂²	1	1	yes	characteristic
161	C₄×#11758198	C₂²	1	1	yes	characteristic
162	C₄×#11758198	C₂²	1	1	yes	characteristic
163	C₄×#11758198	C₂²	1	1	yes	characteristic
164	C₄×#11758198	C₂²	1	1	yes	characteristic
165	C₄×#11758198	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
169	C₄²×Dic₆₁	C₂²	1	1	yes	characteristic
170	C₄²×Dic₆₁	C₂²	1	1	yes	characteristic
171	C₄²×Dic₆₁	C₂²	1	1	yes	characteristic
172	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
173	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
174	C₂²×C₄²×C₆₁	C₂²	1	1	yes	characteristic
175	C₆₁×#391	C₂²	1	1	yes	characteristic
176	C₆₁×#389	C₂²	1	1	yes	characteristic
177	C₆₁×#387	C₂²	1	1	yes	characteristic
178	C₆₁×#387	C₂²	1	1	yes	characteristic
179	C₆₁×#385	C₂²	1	1	yes	characteristic
180	C₆₁×#385	C₂²	1	1	yes	characteristic
181	C₆₁×#380	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₂₂	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₂₂	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
193	#14519775	—	2	4	no	—
194	#14519767	—	2	4	no	—
195	#14519767	—	2	4	no	—
196	#14519755	—	2	4	no	—
197	C₄×Dic₁₂₂	—	2	4	no	—
198	C₄×Dic₁₂₂	—	4	2	no	—
199	#14519742	—	2	4	no	—
200	#14519742	—	2	4	no	—
201	C₄×C₂²⋊D₆₁	—	2	4	no	—
202	C₄×C₂²⋊D₆₁	—	2	4	no	—
203	C₄×C₂²⋊D₆₁	Q₈	1	8	yes	complemented
204	#14519736	—	2	4	no	—
205	#14519736	—	4	2	no	—
206	#14519734	—	2	4	no	—
207	#14519734	—	4	2	no	—
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×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₆₁	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×#11758196	C₂³	1	1	yes	characteristic
244	C₂×#11758196	C₂³	1	1	yes	characteristic
245	C₂×#11758196	C₂³	1	1	yes	characteristic
246	C₂×#11758196	C₂³	1	1	yes	characteristic
247	C₂×#11758196	C₂³	1	1	yes	characteristic
248	C₂×#11758196	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×#11758198	C₂³	1	1	yes	characteristic
257	C₂×#11758198	C₂³	1	1	yes	characteristic
258	C₂×#11758198	C₂³	1	1	yes	characteristic
259	C₂×#11758198	C₂³	1	1	yes	characteristic
260	C₂×#11758198	C₂³	1	1	yes	characteristic
261	C₂×#11758198	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×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₆₁	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	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
288	C₄²×D₆₁	—	4	2	no	—
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	#14519684	C₂³	1	1	yes	characteristic
323	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
327	C₂²⋊Q₈×C₆₁	—	2	4	no	—
328	C₄×Q₈×C₆₁	—	4	2	no	—
329	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₆₁	—	4	2	no	—
343	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
351	#95×C₆₁	C₂³	1	1	yes	characteristic
352	#95×C₆₁	C₂³	1	1	yes	characteristic
353	#95×C₆₁	C₂³	1	1	yes	characteristic
354	#95×C₆₁	C₂³	1	1	yes	characteristic
355	#95×C₆₁	C₂³	1	1	yes	characteristic
356	#95×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	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
362	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
363	C₂×Q₈×C₆₁	—	2	2	no	—
364	C₂×Q₈×C₆₁	—	2	2	no	—
365	C₂×Q₈×C₆₁	—	4	1	no	—
366	C₂²×C₄×C₆₁	—	2	2	no	—
367	C₂²×C₄×C₆₁	—	2	2	no	—
368	C₂²×C₄×C₆₁	—	2	2	no	—
369	C₂²×C₄×C₆₁	—	2	2	no	—
370	C₂²×C₄×C₆₁	—	2	2	no	—
371	C₂²×C₄×C₆₁	—	4	1	no	—
372	C₂²×C₄×C₆₁	—	4	1	no	—
373	C₂²×C₄×C₆₁	—	4	1	no	—
374	C₂²×C₄×C₆₁	C₂×Q₈	1	4	yes	—
375	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
389	C₂×C₂²⋊D₆₁	—	2	2	no	—
390	C₂×C₂²⋊D₆₁	—	2	2	no	—
391	C₂×C₂²⋊D₆₁	C₂×Q₈	1	4	yes	—
392	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
407	C₂×C₄×D₆₁	—	2	2	no	—
408	C₂×C₄×D₆₁	—	2	2	no	—
409	C₂×C₄×D₆₁	—	2	2	no	—
410	C₂×C₄×D₆₁	—	2	2	no	—
411	C₂×C₄×D₆₁	—	2	2	no	—
412	C₂×C₄×D₆₁	—	4	1	no	—
413	C₂×C₄×D₆₁	—	4	1	no	—
414	C₂×C₄×D₆₁	—	4	1	no	—
415	C₂×C₄×D₆₁	C₂×Q₈	1	4	yes	—
416	C₂×Dic₁₂₂	—	2	2	no	—
417	C₂×Dic₁₂₂	—	2	2	no	—
418	C₂×Dic₁₂₂	—	2	2	no	—
419	C₂×Dic₁₂₂	—	2	2	no	—
420	C₂×Dic₁₂₂	—	2	2	no	—
421	C₂×Dic₁₂₂	—	4	1	no	—
422	C₄⋊C₄×C₆₁	—	2	2	no	—
423	C₄⋊C₄×C₆₁	—	2	2	no	—
424	C₄⋊C₄×C₆₁	—	2	2	no	—
425	C₄⋊C₄×C₆₁	—	2	2	no	—
426	C₄⋊C₄×C₆₁	—	2	2	no	—
427	C₄⋊C₄×C₆₁	—	4	1	no	—
428	C₄⋊C₄×C₆₁	—	4	1	no	—
429	C₄⋊C₄×C₆₁	—	4	1	no	—
430	C₄⋊C₄×C₆₁	#41	1	4	yes	—
431	C₂²⋊C₄×C₆₁	—	2	2	no	—
432	C₂²⋊C₄×C₆₁	—	2	2	no	—
433	C₂²⋊C₄×C₆₁	—	4	1	no	—
434	C₂²⋊C₄×C₆₁	—	4	1	no	—
435	C₄²×C₆₁	—	2	2	no	—
436	C₄²×C₆₁	—	2	2	no	—
437	C₄²×C₆₁	—	2	2	no	—
438	C₄²×C₆₁	—	2	2	no	—
439	C₄²×C₆₁	—	2	2	no	—
440	C₄²×C₆₁	—	2	2	no	—
441	C₄²×C₆₁	—	4	1	no	—
442	C₄²×C₆₁	—	4	1	no	—
443	C₂²⋊Dic₆₁	—	2	2	no	—
444	C₂²⋊Dic₆₁	—	2	2	no	—
445	C₂²⋊Dic₆₁	—	2	2	no	—
446	C₂²⋊Dic₆₁	—	2	2	no	—
447	C₂²⋊Dic₆₁	—	4	1	no	—
448	C₂²⋊Dic₆₁	—	4	1	no	—
449	C₂²⋊Dic₆₁	C₂×Q₈	1	4	yes	—
450	#11758198	—	2	2	no	—
451	#11758198	—	2	2	no	—
452	#11758198	—	2	2	no	—
453	#11758198	—	2	2	no	—
454	#11758198	—	2	2	no	—
455	#11758198	—	2	2	no	—
456	#11758198	—	4	1	no	—
457	#11758198	—	4	1	no	—
458	#11758198	—	4	1	no	—
459	#11758198	—	4	1	no	—
460	#11758198	C₂×Q₈	1	4	yes	—
461	C₄⋊Dic₆₁	—	2	2	no	—
462	C₄⋊Dic₆₁	—	2	2	no	—
463	C₄⋊Dic₆₁	—	2	2	no	—
464	C₄⋊Dic₆₁	—	2	2	no	—
465	C₄⋊Dic₆₁	—	2	2	no	—
466	C₄⋊Dic₆₁	—	4	1	no	—
467	C₄⋊Dic₆₁	—	4	1	no	—
468	C₄⋊Dic₆₁	—	4	1	no	—
469	C₄⋊Dic₆₁	—	4	1	no	—
470	C₄⋊Dic₆₁	—	4	1	no	—
471	#11758196	—	2	2	no	—
472	#11758196	—	2	2	no	—
473	#11758196	—	2	2	no	—
474	#11758196	—	2	2	no	—
475	#11758196	—	2	2	no	—
476	#11758196	—	2	2	no	—
477	#11758196	—	2	2	no	—
478	#11758196	—	2	2	no	—
479	#11758196	—	2	2	no	—
480	#11758196	—	2	2	no	—
481	#11758196	—	2	2	no	—
482	#11758196	—	2	2	no	—
483	#11758196	—	2	2	no	—
484	#11758196	—	2	2	no	—
485	#11758196	—	2	2	no	—
486	#11758196	—	2	2	no	—
487	#11758196	—	2	2	no	—
488	#11758196	—	2	2	no	—
489	#11758196	—	2	2	no	—
490	#11758196	—	2	2	no	—
491	#11758196	—	2	2	no	—
492	#11758196	—	4	1	no	—
493	#11758196	—	4	1	no	—
494	#11758196	—	4	1	no	—
495	#11758196	—	4	1	no	—
496	#11758196	—	4	1	no	—
497	#11758196	—	4	1	no	—
498	#11758196	—	4	1	no	—
499	#11758196	—	4	1	no	—
500	#11758196	C₂×Q₈	1	4	yes	—
501	#11758196	#41	1	4	yes	—
502	C₄×Dic₆₁	—	2	2	no	—
503	C₄×Dic₆₁	—	2	2	no	—
504	C₄×Dic₆₁	—	2	2	no	—
505	C₄×Dic₆₁	—	2	2	no	—
506	C₄×Dic₆₁	—	2	2	no	—
507	C₄×Dic₆₁	—	2	2	no	—
508	C₄×Dic₆₁	—	2	2	no	—
509	C₄×Dic₆₁	—	2	2	no	—
510	C₄×Dic₆₁	—	2	2	no	—
511	C₄×Dic₆₁	—	2	2	no	—
512	C₄×Dic₆₁	—	2	2	no	—
513	C₄×Dic₆₁	—	2	2	no	—
514	C₄×Dic₆₁	—	2	2	no	—
515	C₄×Dic₆₁	—	4	1	no	—
516	C₄×Dic₆₁	—	4	1	no	—
517	C₄×Dic₆₁	—	4	1	no	—
518	C₄×Dic₆₁	—	4	1	no	—
519	C₄×Dic₆₁	—	4	1	no	—
520	C₄×Dic₆₁	C₂×Q₈	1	4	yes	—
521	C₄×Dic₆₁	#41	1	4	yes	—
522	C₄×Dic₆₁	#41	1	4	yes	—
523	C₂³×C₆₁	—	2	1	no	—
524	C₂³×C₆₁	—	2	1	no	—
525	C₂³×C₆₁	—	2	1	no	—
526	C₂³×C₆₁	—	2	1	no	—
527	C₂³×C₆₁	—	2	1	no	—
528	C₂³×C₆₁	—	2	1	no	—
529	C₂³×C₆₁	C₂²×Q₈	1	2	yes	—
530	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
531	C₂²×D₆₁	—	2	1	no	—
532	C₂²×D₆₁	—	2	1	no	—
533	C₂²×D₆₁	—	2	1	no	—
534	C₂²×D₆₁	—	2	1	no	—
535	C₂²×D₆₁	—	2	1	no	—
536	C₂²×D₆₁	—	2	1	no	—
537	C₂²×D₆₁	C₂²×Q₈	1	2	yes	—
538	Q₈×C₆₁	—	4	4	no	—
539	C₂×C₄×C₆₁	—	2	1	no	—
540	C₂×C₄×C₆₁	—	2	1	no	—
541	C₂×C₄×C₆₁	—	2	1	no	—
542	C₂×C₄×C₆₁	—	2	1	no	—
543	C₂×C₄×C₆₁	—	2	1	no	—
544	C₂×C₄×C₆₁	—	2	1	no	—
545	C₂×C₄×C₆₁	—	2	1	no	—
546	C₂×C₄×C₆₁	—	2	1	no	—
547	C₂×C₄×C₆₁	—	2	1	no	—
548	C₂×C₄×C₆₁	—	2	1	no	—
549	C₂×C₄×C₆₁	—	2	1	no	—
550	C₂×C₄×C₆₁	—	2	1	no	—
551	C₂×C₄×C₆₁	—	2	8	no	—
552	C₂×C₄×C₆₁	—	2	1	no	—
553	C₂×C₄×C₆₁	—	2	1	no	—
554	C₂×C₄×C₆₁	—	2	1	no	—
555	C₂×C₄×C₆₁	—	2	1	no	—
556	C₂×C₄×C₆₁	—	2	1	no	—
557	C₂×C₄×C₆₁	—	2	1	no	—
558	C₂×C₄×C₆₁	—	2	1	no	—
559	C₂×C₄×C₆₁	—	2	1	no	—
560	C₂×C₄×C₆₁	—	2	1	no	—
561	C₂×C₄×C₆₁	—	2	1	no	—
562	C₂×C₄×C₆₁	—	2	1	no	—
563	C₂×C₄×C₆₁	—	2	1	no	—
564	C₂×C₄×C₆₁	—	2	1	no	—
565	C₂×C₄×C₆₁	—	2	1	no	—
566	C₂×C₄×C₆₁	—	2	1	no	—
567	C₂×C₄×C₆₁	—	2	1	no	—
568	C₂×C₄×C₆₁	—	2	1	no	—
569	C₂×C₄×C₆₁	—	2	1	no	—
570	C₂×C₄×C₆₁	—	2	1	no	—
571	C₂×C₄×C₆₁	—	2	1	no	—
572	C₂×C₄×C₆₁	—	2	1	no	—
573	C₂×C₄×C₆₁	—	4	4	no	—
574	C₂×C₄×C₆₁	—	4	4	no	—
575	C₂×C₄×C₆₁	C₂²×Q₈	1	2	yes	—
576	C₂×C₄×C₆₁	C₂²×Q₈	1	2	yes	—
577	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
578	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
579	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
580	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
581	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
582	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
583	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
584	C₂²⋊D₆₁	—	2	8	no	—
585	C₂×Dic₆₁	—	2	1	no	—
586	C₂×Dic₆₁	—	2	1	no	—
587	C₂×Dic₆₁	—	2	1	no	—
588	C₂×Dic₆₁	—	2	1	no	—
589	C₂×Dic₆₁	—	2	1	no	—
590	C₂×Dic₆₁	—	2	1	no	—
591	C₂×Dic₆₁	—	2	1	no	—
592	C₂×Dic₆₁	—	2	1	no	—
593	C₂×Dic₆₁	—	2	1	no	—
594	C₂×Dic₆₁	—	2	1	no	—
595	C₂×Dic₆₁	—	2	1	no	—
596	C₂×Dic₆₁	—	2	1	no	—
597	C₂×Dic₆₁	—	2	1	no	—
598	C₂×Dic₆₁	—	2	1	no	—
599	C₂×Dic₆₁	—	2	1	no	—
600	C₂×Dic₆₁	—	2	1	no	—
601	C₂×Dic₆₁	—	2	1	no	—
602	C₂×Dic₆₁	—	2	1	no	—
603	C₂×Dic₆₁	—	2	1	no	—
604	C₂×Dic₆₁	—	2	1	no	—
605	C₂×Dic₆₁	—	2	1	no	—
606	C₂×Dic₆₁	—	2	1	no	—
607	C₂×Dic₆₁	—	2	1	no	—
608	C₂×Dic₆₁	—	2	1	no	—
609	C₂×Dic₆₁	—	2	1	no	—
610	C₂×Dic₆₁	—	2	1	no	—
611	C₂×Dic₆₁	—	2	1	no	—
612	C₂×Dic₆₁	—	2	1	no	—
613	C₂×Dic₆₁	—	2	1	no	—
614	C₂×Dic₆₁	—	2	1	no	—
615	C₂×Dic₆₁	—	2	1	no	—
616	C₂×Dic₆₁	—	2	1	no	—
617	C₂×Dic₆₁	—	2	1	no	—
618	C₂×Dic₆₁	—	2	1	no	—
619	C₂×Dic₆₁	—	2	1	no	—
620	C₂×Dic₆₁	—	2	1	no	—
621	C₂×Dic₆₁	C₂²×Q₈	1	2	yes	—
622	C₂×Dic₆₁	C₂²×Q₈	1	2	yes	—
623	C₂×Dic₆₁	C₂²×Q₈	1	2	yes	—
624	C₂×Dic₆₁	C₂×#41	1	2	yes	—
625	C₂×Dic₆₁	C₂×#41	1	2	yes	—
626	C₂×Dic₆₁	C₂×#41	1	2	yes	—
627	C₂×Dic₆₁	C₂×#41	1	2	yes	—
628	C₂×Dic₆₁	C₂×#41	1	2	yes	—
629	C₂×Dic₆₁	C₂×#41	1	2	yes	—
630	C₄×D₆₁	—	2	8	no	—
631	C₄×D₆₁	—	4	4	no	—
632	C₄×D₆₁	—	4	4	no	—
633	Dic₁₂₂	—	2	8	no	—
634	Dic₁₂₂	—	4	4	no	—
635	#34893	—	61	1	no	maximal, Sylow
636	C₂²×C₆₁	—	2	2	no	—
637	C₂²×C₆₁	—	2	2	no	—
638	C₂²×C₆₁	—	2	2	no	—
639	C₂²×C₆₁	—	4	1	no	—
640	C₂²×C₆₁	—	4	1	no	—
641	C₂²×C₆₁	—	4	1	no	—
642	C₂²×C₆₁	—	4	1	no	—
643	C₂²×C₆₁	C₂³×Q₈	1	1	yes	characteristic
644	C₂²×C₆₁	C₂²×#41	1	1	yes	characteristic
645	C₂²×C₆₁	C₂²×#41	1	1	yes	characteristic
646	C₂²×C₆₁	C₂²×#41	1	1	yes	characteristic
647	C₂²×C₆₁	C₂²×#41	1	1	yes	characteristic
648	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
649	C₂²×C₆₁	#585	1	1	yes	characteristic
650	C₂×D₆₁	—	2	2	no	—
651	C₂×D₆₁	—	2	2	no	—
652	C₂×D₆₁	—	2	2	no	—
653	C₂×D₆₁	—	4	1	no	—
654	C₂×D₆₁	—	4	1	no	—
655	C₂×D₆₁	—	4	1	no	—
656	C₂×D₆₁	—	4	1	no	—
657	C₄×C₆₁	—	2	2	no	—
658	C₄×C₆₁	—	2	2	no	—
659	C₄×C₆₁	—	2	2	no	—
660	C₄×C₆₁	—	2	2	no	—
661	C₄×C₆₁	—	2	2	no	—
662	C₄×C₆₁	—	2	2	no	—
663	C₄×C₆₁	—	4	1	no	—
664	C₄×C₆₁	—	4	1	no	—
665	C₄×C₆₁	—	4	1	no	—
666	C₄×C₆₁	—	4	1	no	—
667	C₄×C₆₁	—	4	1	no	—
668	C₄×C₆₁	—	4	1	no	—
669	C₄×C₆₁	—	4	1	no	—
670	C₄×C₆₁	#554	1	4	yes	—
671	Dic₆₁	—	2	2	no	—
672	Dic₆₁	—	2	2	no	—
673	Dic₆₁	—	2	2	no	—
674	Dic₆₁	—	2	2	no	—
675	Dic₆₁	—	2	2	no	—
676	Dic₆₁	—	2	2	no	—
677	Dic₆₁	—	4	1	no	—
678	Dic₆₁	—	4	1	no	—
679	Dic₆₁	—	4	1	no	—
680	Dic₆₁	—	4	1	no	—
681	Dic₆₁	—	4	1	no	—
682	Dic₆₁	—	4	1	no	—
683	Dic₆₁	—	4	1	no	—
684	Dic₆₁	—	4	1	no	—
685	Dic₆₁	#533	1	4	yes	—
686	#2589	—	61	1	no	—
687	#2589	—	61	1	no	—
688	#2587	—	61	1	no	—
689	#2587	—	61	1	no	—
690	#2584	—	61	1	no	—
691	#2580	—	61	1	no	—
692	#2566	—	61	1	no	—
693	#2550	—	61	1	no	—
694	#2522	—	61	1	no	—
695	#2522	—	61	1	no	—
696	#2509	—	61	1	no	—
697	#2507	—	61	1	no	—
698	#2465	—	61	1	no	—
699	#2465	—	61	1	no	—
700	#2454	—	61	1	no	—
701	#2452	—	61	1	no	—
702	#2396	—	61	1	no	—
703	#2396	—	61	1	no	—
704	#2396	—	61	1	no	—
705	#2396	—	61	1	no	—
706	C₄×C₄⋊Q₈	—	61	1	no	—
707	C₄×#125	—	61	1	no	—
708	C₄×#125	—	61	1	no	—
709	C₄×C₂²⋊Q₈	—	61	1	no	—
710	C₄×C₂²⋊Q₈	D₆₁	1	1	yes	characteristic, complemented
711	#2296	—	61	1	no	—
712	#2296	—	61	1	no	—
713	#2293	—	61	1	no	—
714	#2293	—	61	1	no	—
715	C₄²×Q₈	—	61	1	no	—
716	C₄²×D₄	—	61	1	no	—
717	C₂×C₆₁	—	4	2	no	—
718	C₂×C₆₁	C₂×#533	1	1	yes	characteristic
719	C₂×C₆₁	#3444	1	1	yes	characteristic
720	C₂×C₆₁	#3460	1	1	yes	characteristic
721	C₂×C₆₁	C₂×#554	1	1	yes	characteristic
722	C₂×C₆₁	Q₈×#41	1	1	yes	characteristic
723	C₂×C₆₁	#3480	1	1	yes	characteristic
724	C₂×C₆₁	#3481	1	1	yes	characteristic
725	D₆₁	—	4	2	no	—
726	C₂×C₄⋊Q₈	—	61	1	no	—
727	C₂×#125	—	61	1	no	—
728	C₂×#125	—	61	1	no	—
729	C₂×C₂²⋊Q₈	—	61	1	no	—
730	C₂×C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic
731	C₂×C₄×Q₈	—	61	1	no	—
732	C₂×C₄×Q₈	—	61	1	no	—
733	C₂×C₄×Q₈	—	61	1	no	—
734	C₂×C₄×Q₈	—	61	1	no	—
735	C₂×C₄×Q₈	C₂×D₆₁	1	1	yes	characteristic
736	C₂×C₄×D₄	—	61	1	no	—
737	C₂×C₄×D₄	—	61	1	no	—
738	C₂×C₄×D₄	—	61	1	no	—
739	C₂×#117	—	61	1	no	—
740	C₂×#117	—	61	1	no	—
741	C₂×#117	—	61	1	no	—
742	C₂×#117	—	61	1	no	—
743	C₂²×C₄²	—	61	1	no	—
744	C₂²×C₄²	C₂×D₆₁	1	1	yes	characteristic
745	#400	—	61	1	no	—
746	#400	—	61	1	no	—
747	#400	—	61	1	no	—
748	#400	—	61	1	no	—
749	#399	—	61	1	no	—
750	#399	—	61	1	no	—
751	#399	—	61	1	no	—
752	#399	—	61	1	no	—
753	#398	—	61	1	no	—
754	#398	—	61	1	no	—
755	#398	—	61	1	no	—
756	#398	—	61	1	no	—
757	#398	—	61	1	no	—
758	#398	—	61	1	no	—
759	#398	—	61	1	no	—
760	#398	—	61	1	no	—
761	#396	—	61	1	no	—
762	#396	—	61	1	no	—
763	#396	—	61	1	no	—
764	#396	—	61	1	no	—
765	#396	—	61	1	no	—
766	#396	—	61	1	no	—
767	#396	—	61	1	no	—
768	#396	—	61	1	no	—
769	#395	—	61	1	no	—
770	#395	—	61	1	no	—
771	#395	—	61	1	no	—
772	#395	—	61	1	no	—
773	#393	—	61	1	no	—
774	#393	—	61	1	no	—
775	#393	—	61	1	no	—
776	#393	—	61	1	no	—
777	#391	—	61	1	no	—
778	#391	—	61	1	no	—
779	#391	—	61	1	no	—
780	#391	C₂×D₆₁	1	1	yes	characteristic
781	#390	—	61	1	no	—
782	#390	—	61	1	no	—
783	#390	—	61	1	no	—
784	#390	—	61	1	no	—
785	#389	—	61	1	no	—
786	#389	—	61	1	no	—
787	#389	—	61	1	no	—
788	#389	—	61	1	no	—
789	#389	—	61	1	no	—
790	#389	—	61	1	no	—
791	#389	—	61	1	no	—
792	#389	—	61	1	no	—
793	#389	—	61	1	no	—
794	#389	—	61	1	no	—
795	#389	—	61	1	no	—
796	#389	—	61	1	no	—
797	#389	—	61	1	no	—
798	#389	—	61	1	no	—
799	#389	—	61	1	no	—
800	#389	—	61	1	no	—
801	#389	—	61	1	no	—
802	#389	—	61	1	no	—
803	#389	—	61	1	no	—
804	#389	—	61	1	no	—
805	#389	—	61	1	no	—
806	#389	C₂×D₆₁	1	1	yes	characteristic
807	#388	—	61	1	no	—
808	#388	—	61	1	no	—
809	#388	—	61	1	no	—
810	#388	—	61	1	no	—
811	#388	—	61	1	no	—
812	#388	—	61	1	no	—
813	#388	—	61	1	no	—
814	#388	—	61	1	no	—
815	#387	—	61	1	no	—
816	#387	—	61	1	no	—
817	#387	—	61	1	no	—
818	#387	—	61	1	no	—
819	#387	—	61	1	no	—
820	#387	—	61	1	no	—
821	#387	—	61	1	no	—
822	#387	—	61	1	no	—
823	#387	—	61	1	no	—
824	#387	—	61	1	no	—
825	#387	C₂×D₆₁	1	1	yes	characteristic
826	#387	C₂×D₆₁	1	1	yes	characteristic
827	#385	—	61	1	no	—
828	#385	—	61	1	no	—
829	#385	—	61	1	no	—
830	#385	—	61	1	no	—
831	#385	—	61	1	no	—
832	#385	—	61	1	no	—
833	#385	—	61	1	no	—
834	#385	—	61	1	no	—
835	#385	—	61	1	no	—
836	#385	—	61	1	no	—
837	#385	C₂×D₆₁	1	1	yes	characteristic
838	#385	C₂×D₆₁	1	1	yes	characteristic
839	#384	—	61	1	no	—
840	#382	—	61	1	no	—
841	#382	—	61	1	no	—
842	#380	—	61	1	no	—
843	#380	C₂×D₆₁	1	1	yes	characteristic
844	C₄×C₄⋊C₄	—	61	1	no	—
845	C₄×C₄⋊C₄	—	61	1	no	—
846	C₄×C₄⋊C₄	—	61	1	no	—
847	C₄×C₄⋊C₄	—	61	1	no	—
848	C₄×C₄⋊C₄	—	61	1	no	—
849	C₄×C₄⋊C₄	—	61	1	no	—
850	C₄×C₄⋊C₄	—	61	1	no	—
851	C₄×C₄⋊C₄	—	61	1	no	—
852	C₄×C₄⋊C₄	—	61	1	no	—
853	C₄×C₄⋊C₄	—	61	1	no	—
854	C₄×C₄⋊C₄	—	61	1	no	—
855	C₄×C₄⋊C₄	—	61	1	no	—
856	C₄×C₄⋊C₄	—	61	1	no	—
857	C₄×C₄⋊C₄	—	61	1	no	—
858	C₄×C₄⋊C₄	—	61	1	no	—
859	C₄×C₄⋊C₄	—	61	1	no	—
860	C₄×C₄⋊C₄	—	61	1	no	—
861	C₄×C₄⋊C₄	—	61	1	no	—
862	C₄×C₄⋊C₄	—	61	1	no	—
863	C₄×C₄⋊C₄	—	61	1	no	—
864	C₄×C₄⋊C₄	—	61	1	no	—
865	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic
866	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic
867	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic
868	C₄×C₂²⋊C₄	—	61	1	no	—
869	C₄×C₂²⋊C₄	—	61	1	no	—
870	C₄×C₂²⋊C₄	—	61	1	no	—
871	C₄×C₂²⋊C₄	—	61	1	no	—
872	C₄×C₂²⋊C₄	—	61	1	no	—
873	C₄×C₂²⋊C₄	—	61	1	no	—
874	C₄×C₂²⋊C₄	—	61	1	no	—
875	C₄×C₂²⋊C₄	—	61	1	no	—
876	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
877	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
878	C₄³	—	61	1	no	—
879	C₄³	—	61	1	no	—
880	C₄³	—	61	1	no	—
881	C₆₁	#34893	1	1	yes	characteristic, complemented, Sylow
882	C₂²×Q₈	—	61	1	no	—
883	C₂²×Q₈	—	61	1	no	—
884	C₂²×Q₈	C₂²×D₆₁	1	1	yes	characteristic
885	C₂²×D₄	—	61	1	no	—
886	C₂³×C₄	—	61	1	no	—
887	C₂³×C₄	—	61	1	no	—
888	C₂³×C₄	—	61	1	no	—
889	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
890	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
891	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
892	C₄⋊Q₈	—	122	4	no	—
893	#125	—	122	4	no	—
894	#125	—	122	4	no	—
895	C₂²⋊Q₈	—	2	4	no	—
896	C₂²⋊Q₈	—	122	4	no	—
897	C₄×Q₈	—	4	2	no	—
898	C₄×Q₈	—	122	4	no	—
899	C₄×Q₈	—	122	4	no	—
900	C₄×Q₈	—	122	4	no	—
901	C₄×Q₈	—	244	2	no	—
902	C₄×D₄	—	61	8	no	—
903	C₄×D₄	—	122	4	no	—
904	C₄×D₄	—	122	4	no	—
905	#117	—	122	4	no	—
906	#117	—	122	4	no	—
907	#117	—	244	2	no	—
908	#117	—	244	2	no	—
909	C₂×C₄⋊C₄	—	61	1	no	—
910	C₂×C₄⋊C₄	—	61	1	no	—
911	C₂×C₄⋊C₄	—	61	1	no	—
912	C₂×C₄⋊C₄	—	61	1	no	—
913	C₂×C₄⋊C₄	—	61	1	no	—
914	C₂×C₄⋊C₄	—	61	1	no	—
915	C₂×C₄⋊C₄	—	61	1	no	—
916	C₂×C₄⋊C₄	—	61	1	no	—
917	C₂×C₄⋊C₄	—	61	1	no	—
918	C₂×C₄⋊C₄	—	61	1	no	—
919	C₂×C₄⋊C₄	—	61	1	no	—
920	C₂×C₄⋊C₄	—	61	1	no	—
921	C₂×C₄⋊C₄	—	61	1	no	—
922	C₂×C₄⋊C₄	—	61	1	no	—
923	C₂×C₄⋊C₄	—	61	1	no	—
924	C₂×C₄⋊C₄	—	61	1	no	—
925	C₂×C₄⋊C₄	—	61	1	no	—
926	C₂×C₄⋊C₄	—	61	1	no	—
927	C₂×C₄⋊C₄	—	61	1	no	—
928	C₂×C₄⋊C₄	—	61	1	no	—
929	C₂×C₄⋊C₄	—	61	1	no	—
930	C₂×C₄⋊C₄	—	61	1	no	—
931	C₂×C₄⋊C₄	—	61	1	no	—
932	C₂×C₄⋊C₄	—	61	1	no	—
933	C₂×C₄⋊C₄	—	61	1	no	—
934	C₂×C₄⋊C₄	—	61	1	no	—
935	C₂×C₄⋊C₄	—	61	1	no	—
936	C₂×C₄⋊C₄	—	61	1	no	—
937	C₂×C₄⋊C₄	—	61	1	no	—
938	C₂×C₄⋊C₄	—	61	1	no	—
939	C₂×C₄⋊C₄	—	61	1	no	—
940	C₂×C₄⋊C₄	—	61	1	no	—
941	C₂×C₄⋊C₄	—	61	1	no	—
942	C₂×C₄⋊C₄	—	61	1	no	—
943	C₂×C₄⋊C₄	—	61	1	no	—
944	C₂×C₄⋊C₄	—	61	1	no	—
945	C₂×C₄⋊C₄	—	61	1	no	—
946	C₂×C₄⋊C₄	—	61	1	no	—
947	C₂×C₄⋊C₄	—	61	1	no	—
948	C₂×C₄⋊C₄	—	61	1	no	—
949	C₂×C₄⋊C₄	—	61	1	no	—
950	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	—	61	1	no	—
960	C₂×C₂²⋊C₄	—	61	1	no	—
961	C₂×C₂²⋊C₄	—	61	1	no	—
962	C₂×C₂²⋊C₄	—	61	1	no	—
963	C₂×C₂²⋊C₄	—	61	1	no	—
964	C₂×C₂²⋊C₄	—	61	1	no	—
965	C₂×C₂²⋊C₄	—	61	1	no	—
966	C₂×C₂²⋊C₄	—	61	1	no	—
967	C₂×C₂²⋊C₄	—	61	1	no	—
968	C₂×C₂²⋊C₄	—	61	1	no	—
969	C₂×C₂²⋊C₄	—	61	1	no	—
970	C₂×C₂²⋊C₄	—	61	1	no	—
971	C₂×C₂²⋊C₄	—	61	1	no	—
972	C₂×C₂²⋊C₄	—	61	1	no	—
973	C₂×C₂²⋊C₄	—	61	1	no	—
974	C₂×C₂²⋊C₄	—	61	1	no	—
975	C₂×C₂²⋊C₄	—	61	1	no	—
976	C₂×C₂²⋊C₄	—	61	1	no	—
977	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
981	C₂×C₄²	—	4	2	no	—
982	C₂×C₄²	—	61	1	no	—
983	C₂×C₄²	—	61	1	no	—
984	C₂×C₄²	—	61	1	no	—
985	C₂×C₄²	—	61	1	no	—
986	C₂×C₄²	—	61	1	no	—
987	C₂×C₄²	—	61	1	no	—
988	C₂×C₄²	—	61	1	no	—
989	C₂×C₄²	—	61	1	no	—
990	C₂×C₄²	—	61	1	no	—
991	C₂×C₄²	—	61	1	no	—
992	C₂×C₄²	—	61	1	no	—
993	C₂×C₄²	—	61	1	no	—
994	C₂×C₄²	—	61	1	no	—
995	C₂×C₄²	—	61	1	no	—
996	C₂×C₄²	—	61	1	no	—
997	C₂×C₄²	—	61	1	no	—
998	C₂×C₄²	—	61	1	no	—
999	C₂×C₄²	—	61	1	no	—
1000	C₂×C₄²	—	61	1	no	—
1001	C₂×C₄²	—	61	1	no	—
1002	C₂×C₄²	—	61	1	no	—
1003	C₂×C₄²	—	244	2	no	—
1004	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1005	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1006	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1007	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1008	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1009	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1010	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1011	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1012	#95	—	61	1	no	—
1013	#95	—	61	1	no	—
1014	#95	—	61	1	no	—
1015	#95	—	61	1	no	—
1016	#95	—	61	1	no	—
1017	#95	—	61	1	no	—
1018	#95	—	61	1	no	—
1019	#95	—	61	1	no	—
1020	#95	—	61	1	no	—
1021	#95	—	61	1	no	—
1022	#95	—	61	1	no	—
1023	#95	—	61	1	no	—
1024	#95	—	61	1	no	—
1025	#95	—	61	1	no	—
1026	#95	—	61	1	no	—
1027	#95	—	61	1	no	—
1028	#95	—	61	1	no	—
1029	#95	—	61	1	no	—
1030	#95	—	61	1	no	—
1031	#95	—	61	1	no	—
1032	#95	—	61	1	no	—
1033	#95	—	61	1	no	—
1034	#95	—	61	1	no	—
1035	#95	—	61	1	no	—
1036	#95	—	61	1	no	—
1037	#95	—	61	1	no	—
1038	#95	—	61	1	no	—
1039	#95	—	61	1	no	—
1040	#95	—	61	1	no	—
1041	#95	—	61	1	no	—
1042	#95	—	61	1	no	—
1043	#95	—	61	1	no	—
1044	#95	—	61	1	no	—
1045	#95	—	61	1	no	—
1046	#95	C₂²×D₆₁	1	1	yes	characteristic
1047	#95	C₂²×D₆₁	1	1	yes	characteristic
1048	#95	C₂²×D₆₁	1	1	yes	characteristic
1049	#95	C₂²×D₆₁	1	1	yes	characteristic
1050	#95	C₂²×D₆₁	1	1	yes	characteristic
1051	#95	C₂²×D₆₁	1	1	yes	characteristic
1052	#95	C₂²×D₆₁	1	1	yes	characteristic
1053	#95	C₂²×D₆₁	1	1	yes	characteristic
1054	#95	C₂²×D₆₁	1	1	yes	characteristic
1055	#95	C₂²×D₆₁	1	1	yes	characteristic
1056	C₂⁴	—	61	1	no	—
1057	C₂⁴	C₂³×D₆₁	1	1	yes	characteristic
1058	C₂×Q₈	—	2	2	no	—
1059	C₂×Q₈	—	2	2	no	—
1060	C₂×Q₈	—	4	1	no	—
1061	C₂×Q₈	—	122	2	no	—
1062	C₂×Q₈	—	122	2	no	—
1063	C₂×Q₈	—	122	2	no	—
1064	C₂×Q₈	—	122	2	no	—
1065	C₂×Q₈	—	122	2	no	—
1066	C₂×Q₈	—	244	1	no	—
1067	C₂×D₄	—	61	4	no	—
1068	C₂×D₄	—	122	2	no	—
1069	C₂×D₄	—	122	2	no	—
1070	C₂²×C₄	—	2	2	no	—
1071	C₂²×C₄	—	2	2	no	—
1072	C₂²×C₄	—	2	2	no	—
1073	C₂²×C₄	—	2	2	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	4	1	no	—
1077	C₂²×C₄	—	4	1	no	—
1078	C₂²×C₄	—	61	1	no	—
1079	C₂²×C₄	—	61	1	no	—
1080	C₂²×C₄	—	61	1	no	—
1081	C₂²×C₄	—	61	1	no	—
1082	C₂²×C₄	—	61	1	no	—
1083	C₂²×C₄	—	61	1	no	—
1084	C₂²×C₄	—	61	1	no	—
1085	C₂²×C₄	—	61	4	no	—
1086	C₂²×C₄	—	61	1	no	—
1087	C₂²×C₄	—	61	1	no	—
1088	C₂²×C₄	—	61	1	no	—
1089	C₂²×C₄	—	61	1	no	—
1090	C₂²×C₄	—	61	1	no	—
1091	C₂²×C₄	—	61	1	no	—
1092	C₂²×C₄	—	61	1	no	—
1093	C₂²×C₄	—	61	1	no	—
1094	C₂²×C₄	—	122	2	no	—
1095	C₂²×C₄	—	122	2	no	—
1096	C₂²×C₄	—	122	2	no	—
1097	C₂²×C₄	—	122	2	no	—
1098	C₂²×C₄	—	122	2	no	—
1099	C₂²×C₄	—	244	1	no	—
1100	C₂²×C₄	—	244	1	no	—
1101	C₂²×C₄	—	244	1	no	—
1102	C₂²×C₄	Q₈×D₆₁	1	4	yes	—
1103	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	2	2	no	—
1119	C₄⋊C₄	—	2	2	no	—
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	61	4	no	—
1126	C₄⋊C₄	—	61	4	no	—
1127	C₄⋊C₄	—	122	2	no	—
1128	C₄⋊C₄	—	122	2	no	—
1129	C₄⋊C₄	—	122	2	no	—
1130	C₄⋊C₄	—	122	2	no	—
1131	C₄⋊C₄	—	122	2	no	—
1132	C₄⋊C₄	—	122	2	no	—
1133	C₄⋊C₄	—	122	2	no	—
1134	C₄⋊C₄	—	122	2	no	—
1135	C₄⋊C₄	—	122	2	no	—
1136	C₄⋊C₄	—	122	2	no	—
1137	C₄⋊C₄	—	122	2	no	—
1138	C₄⋊C₄	—	122	2	no	—
1139	C₄⋊C₄	—	122	2	no	—
1140	C₄⋊C₄	—	122	2	no	—
1141	C₄⋊C₄	—	122	2	no	—
1142	C₄⋊C₄	—	122	2	no	—
1143	C₄⋊C₄	—	122	2	no	—
1144	C₄⋊C₄	—	122	2	no	—
1145	C₄⋊C₄	—	122	2	no	—
1146	C₄⋊C₄	—	122	2	no	—
1147	C₄⋊C₄	—	122	2	no	—
1148	C₄⋊C₄	—	122	2	no	—
1149	C₄⋊C₄	—	122	2	no	—
1150	C₄⋊C₄	—	122	2	no	—
1151	C₄⋊C₄	—	122	2	no	—
1152	C₄⋊C₄	—	122	2	no	—
1153	C₄⋊C₄	—	244	1	no	—
1154	C₄⋊C₄	—	244	1	no	—
1155	C₄⋊C₄	—	244	1	no	—
1156	C₄⋊C₄	—	244	1	no	—
1157	C₄⋊C₄	—	244	1	no	—
1158	C₄⋊C₄	—	244	1	no	—
1159	C₄⋊C₄	—	244	1	no	—
1160	C₄⋊C₄	—	244	1	no	—
1161	C₄⋊C₄	—	244	1	no	—
1162	C₄⋊C₄	—	244	1	no	—
1163	C₄⋊C₄	—	244	1	no	—
1164	C₄⋊C₄	—	244	1	no	—
1165	C₄⋊C₄	—	244	1	no	—
1166	C₄⋊C₄	#11758222	1	4	yes	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	61	4	no	—
1172	C₂²⋊C₄	—	61	4	no	—
1173	C₂²⋊C₄	—	122	2	no	—
1174	C₂²⋊C₄	—	122	2	no	—
1175	C₂²⋊C₄	—	122	2	no	—
1176	C₂²⋊C₄	—	122	2	no	—
1177	C₂²⋊C₄	—	122	2	no	—
1178	C₂²⋊C₄	—	122	2	no	—
1179	C₂²⋊C₄	—	122	2	no	—
1180	C₂²⋊C₄	—	122	2	no	—
1181	C₂²⋊C₄	—	122	2	no	—
1182	C₂²⋊C₄	—	122	2	no	—
1183	C₂²⋊C₄	—	244	1	no	—
1184	C₂²⋊C₄	—	244	1	no	—
1185	C₂²⋊C₄	—	244	1	no	—
1186	C₂²⋊C₄	—	244	1	no	—
1187	C₂²⋊C₄	—	244	1	no	—
1188	C₂²⋊C₄	—	244	1	no	—
1189	C₄²	—	2	2	no	—
1190	C₄²	—	2	2	no	—
1191	C₄²	—	2	2	no	—
1192	C₄²	—	2	2	no	—
1193	C₄²	—	2	2	no	—
1194	C₄²	—	2	2	no	—
1195	C₄²	—	4	1	no	—
1196	C₄²	—	4	1	no	—
1197	C₄²	—	61	4	no	—
1198	C₄²	—	61	4	no	—
1199	C₄²	—	61	4	no	—
1200	C₄²	—	122	2	no	—
1201	C₄²	—	122	2	no	—
1202	C₄²	—	122	2	no	—
1203	C₄²	—	122	2	no	—
1204	C₄²	—	122	2	no	—
1205	C₄²	—	122	2	no	—
1206	C₄²	—	122	2	no	—
1207	C₄²	—	122	2	no	—
1208	C₄²	—	122	2	no	—
1209	C₄²	—	122	2	no	—
1210	C₄²	—	122	2	no	—
1211	C₄²	—	122	2	no	—
1212	C₄²	—	122	2	no	—
1213	C₄²	—	244	1	no	—
1214	C₄²	—	244	1	no	—
1215	C₄²	—	244	1	no	—
1216	C₄²	—	244	1	no	—
1217	C₄²	—	244	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	61	2	no	—
1225	C₂³	—	122	1	no	—
1226	C₂³	—	122	1	no	—
1227	C₂³	—	122	1	no	—
1228	C₂³	—	122	1	no	—
1229	C₂³	—	122	1	no	—
1230	C₂³	—	122	1	no	—
1231	C₂³	C₂×Q₈×D₆₁	1	2	yes	—
1232	C₂³	C₂⁴×D₆₁	1	1	yes	characteristic
1233	Q₈	—	4	4	no	—
1234	Q₈	—	122	8	no	—
1235	Q₈	—	244	4	no	—
1236	D₄	—	122	8	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	8	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	4	4	no	—
1272	C₂×C₄	—	4	4	no	—
1273	C₂×C₄	—	61	2	no	—
1274	C₂×C₄	—	61	2	no	—
1275	C₂×C₄	—	61	2	no	—
1276	C₂×C₄	—	61	2	no	—
1277	C₂×C₄	—	61	2	no	—
1278	C₂×C₄	—	61	2	no	—
1279	C₂×C₄	—	61	2	no	—
1280	C₂×C₄	—	61	2	no	—
1281	C₂×C₄	—	61	2	no	—
1282	C₂×C₄	—	122	1	no	—
1283	C₂×C₄	—	122	1	no	—
1284	C₂×C₄	—	122	1	no	—
1285	C₂×C₄	—	122	1	no	—
1286	C₂×C₄	—	122	1	no	—
1287	C₂×C₄	—	122	1	no	—
1288	C₂×C₄	—	122	1	no	—
1289	C₂×C₄	—	122	1	no	—
1290	C₂×C₄	—	122	1	no	—
1291	C₂×C₄	—	122	1	no	—
1292	C₂×C₄	—	122	1	no	—
1293	C₂×C₄	—	122	1	no	—
1294	C₂×C₄	—	122	8	no	—
1295	C₂×C₄	—	122	1	no	—
1296	C₂×C₄	—	122	1	no	—
1297	C₂×C₄	—	122	1	no	—
1298	C₂×C₄	—	122	1	no	—
1299	C₂×C₄	—	122	1	no	—
1300	C₂×C₄	—	122	1	no	—
1301	C₂×C₄	—	122	1	no	—
1302	C₂×C₄	—	122	1	no	—
1303	C₂×C₄	—	122	1	no	—
1304	C₂×C₄	—	122	1	no	—
1305	C₂×C₄	—	122	1	no	—
1306	C₂×C₄	—	122	1	no	—
1307	C₂×C₄	—	122	1	no	—
1308	C₂×C₄	—	122	1	no	—
1309	C₂×C₄	—	122	1	no	—
1310	C₂×C₄	—	122	1	no	—
1311	C₂×C₄	—	122	1	no	—
1312	C₂×C₄	—	122	1	no	—
1313	C₂×C₄	—	122	1	no	—
1314	C₂×C₄	—	122	1	no	—
1315	C₂×C₄	—	122	1	no	—
1316	C₂×C₄	—	122	1	no	—
1317	C₂×C₄	—	122	1	no	—
1318	C₂×C₄	—	122	1	no	—
1319	C₂×C₄	—	244	4	no	—
1320	C₂×C₄	—	244	4	no	—
1321	C₂×C₄	C₂×Q₈×D₆₁	1	2	yes	—
1322	C₂×C₄	C₂×Q₈×D₆₁	1	2	yes	—
1323	C₂×C₄	#41×D₆₁	1	2	yes	—
1324	C₂×C₄	#41×D₆₁	1	2	yes	—
1325	C₂×C₄	#41×D₆₁	1	2	yes	—
1326	C₂×C₄	C₂×#11758222	1	2	yes	—
1327	C₂×C₄	C₂×#11758222	1	2	yes	—
1328	C₂×C₄	C₂×#11758222	1	2	yes	—
1329	C₂×C₄	#14519822	1	2	yes	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	2	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	4	1	no	—
1335	C₂²	—	4	1	no	—
1336	C₂²	—	4	1	no	—
1337	C₂²	—	122	2	no	—
1338	C₂²	—	122	2	no	—
1339	C₂²	—	122	2	no	—
1340	C₂²	—	244	1	no	—
1341	C₂²	—	244	1	no	—
1342	C₂²	—	244	1	no	—
1343	C₂²	—	244	1	no	—
1344	C₂²	C₂²×Q₈×D₆₁	1	1	yes	characteristic
1345	C₂²	C₂×#41×D₆₁	1	1	yes	characteristic
1346	C₂²	C₂×#41×D₆₁	1	1	yes	characteristic
1347	C₂²	C₂×#41×D₆₁	1	1	yes	characteristic
1348	C₂²	C₂²×#11758222	1	1	yes	characteristic
1349	C₂²	C₂×#14519822	1	1	yes	characteristic
1350	C₂²	#16840598	1	1	yes	characteristic
1351	C₄	—	2	2	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	2	no	—
1356	C₄	—	2	2	no	—
1357	C₄	—	4	1	no	—
1358	C₄	—	4	1	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	4	1	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	61	4	no	—
1365	C₄	—	122	2	no	—
1366	C₄	—	122	2	no	—
1367	C₄	—	122	2	no	—
1368	C₄	—	122	2	no	—
1369	C₄	—	122	2	no	—
1370	C₄	—	122	2	no	—
1371	C₄	—	244	1	no	—
1372	C₄	—	244	1	no	—
1373	C₄	—	244	1	no	—
1374	C₄	—	244	1	no	—
1375	C₄	—	244	1	no	—
1376	C₄	—	244	1	no	—
1377	C₄	—	244	1	no	—
1378	C₄	—	244	1	no	—
1379	C₄	#16840466	1	4	yes	—
1380	C₂	—	4	2	no	—
1381	C₂	—	244	2	no	—
1382	C₂	#533×D₆₁	1	1	yes	characteristic
1383	C₂	#21459112	1	1	yes	characteristic
1384	C₂	#21459237	1	1	yes	characteristic
1385	C₂	C₂×#16840466	1	1	yes	characteristic
1386	C₂	Q₈×#11758222	1	1	yes	characteristic
1387	C₂	#21459410	1	1	yes	characteristic
1388	C₂	#21459423	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₆₁
commutator, socle, cosocle	C₂³×C₆₁	C₂⁵
Frattini	C₂³	C₂⁴×D₆₁
Fitting	C₄×C₂²⋊Q₈×C₆₁	C₂
prime radical	C₂²×C₂²⋊D₆₁	C₂³
hypercenter	C₄×C₂²⋊Q₈	D₆₁
hypocenter	C₆₁	#34893
LCS	G ▷ C₂³×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
1. #21451277	C₂	semidirect
2. #21451269	C₂	semidirect
3. #21451245	C₂	semidirect
4. #21451237	C₂	semidirect
5. #21451205	C₂	semidirect
8. #21450837	C₂	semidirect
9. #21450535	C₂	semidirect
10. #21450533	C₂	semidirect
11. #21450367	C₂	semidirect
12. #21450345	C₂	semidirect
13. #21449838	C₂	semidirect
14. #21449836	C₂	semidirect
17. #21449095	C₂	semidirect
18. #21449093	C₂	semidirect
19. #21449093	C₂	semidirect
20. #21449089	C₂	semidirect
21. C₄×#14519775	C₂	semidirect
22. C₄×#14519767	C₂	semidirect
23. C₄×#14519767	C₂	semidirect
24. C₄×#14519755	C₂	semidirect
25. #21448302	C₂	semidirect
26. #21448299	C₂	semidirect
29. C₄×#14519742	C₂	semidirect
31. C₄×C₂²⋊Q₈×C₆₁	C₂	semidirect
203. C₄×C₂²⋊D₆₁	Q₈	semidirect
710. C₄×C₂²⋊Q₈	D₆₁	semidirect
881. C₆₁	#34893	semidirect

Maximal subgroups

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

subgroup	index
#21451277	2
#21451269	2
#21451245	2
#21451237	2
#21451205	2
#21451176	2
#21451017	2
#21450837	2
#21450535	2
#21450533	2
#21450367	2
#21450345	2
#21449838	2
#21449836	2
#21449690	2
#21449668	2
#21449095	2
#21449093	2
#21449089	2
C₄×#14519775	2
C₄×#14519767	2
C₄×#14519755	2
#21448302	2
#21448299	2
#21448282	2
C₄×#14519742	2
C₄²×C₂²⋊D₆₁	2
C₄×C₂²⋊Q₈×C₆₁	2
#34893	61