Subgroups — #29886512

Order 15616.

1506 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21454074	C₂	1	1	yes	maximal, characteristic, complemented
2	#21454059	C₂	1	1	yes	maximal, characteristic, complemented
3	#21454057	C₂	1	1	yes	maximal, characteristic, complemented
4	#21454044	C₂	1	1	yes	maximal, characteristic, complemented
5	#21454042	C₂	1	1	yes	maximal, characteristic, complemented
6	#21454007	C₂	1	1	yes	maximal, characteristic, complemented
7	#21454002	C₂	1	1	yes	maximal, characteristic, complemented
8	#21453995	C₂	1	1	yes	maximal, characteristic, complemented
9	#21453993	C₂	1	1	yes	maximal, characteristic, complemented
10	#21453973	C₂	1	1	yes	maximal, characteristic, complemented
11	#21453971	C₂	1	1	yes	maximal, characteristic, complemented
12	#21453925	C₂	1	1	yes	maximal, characteristic
13	#21453921	C₂	1	1	yes	maximal, characteristic
14	#21453854	C₂	1	1	yes	maximal, characteristic, complemented
15	#21453834	C₂	1	1	yes	maximal, characteristic
16	#21453830	C₂	1	1	yes	maximal, characteristic
17	#21449127	C₂	1	1	yes	maximal, characteristic, complemented
18	#21449126	C₂	1	1	yes	maximal, characteristic, complemented
19	#21449120	C₂	1	1	yes	maximal, characteristic, complemented
20	#21449120	C₂	1	1	yes	maximal, characteristic, complemented
21	#21449119	C₂	1	1	yes	maximal, characteristic, complemented
22	#21449119	C₂	1	1	yes	maximal, characteristic, complemented
23	#21449113	C₂	1	1	yes	maximal, characteristic, complemented
24	#21449110	C₂	1	1	yes	maximal, characteristic, complemented
25	#21449106	C₂	1	1	yes	maximal, characteristic
26	#21449095	C₂	1	1	yes	maximal, characteristic, complemented
27	#21449089	C₂	1	1	yes	maximal, characteristic, complemented
28	#21449080	C₂	1	1	yes	maximal, characteristic
29	C₄×#14519756	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#14519760	C₂	1	1	yes	maximal, characteristic
31	C₄×C₂²⋊Q₈×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14519760	C₂²	1	1	yes	characteristic
33	C₂×#14519756	C₂²	1	1	yes	characteristic
34	C₂×C₄×Dic₁₂₂	C₂²	1	1	yes	characteristic
35	C₂×C₄×Dic₁₂₂	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₂²⋊D₆₁	C₂²	1	1	yes	characteristic
37	C₂×#14519734	C₂²	1	1	yes	characteristic
38	C₆₁⋊#401	C₂²	1	1	yes	characteristic
39	C₆₁⋊#401	C₂²	1	1	yes	characteristic
40	C₆₁⋊#401	C₂²	1	1	yes	characteristic
41	C₆₁⋊#401	C₂²	1	1	yes	characteristic
42	#16839704	C₂²	1	1	yes	characteristic
43	#16839704	C₂²	1	1	yes	characteristic
44	#16839704	C₂²	1	1	yes	characteristic
45	#16839704	C₂²	1	1	yes	characteristic
46	#16839704	C₂²	1	1	yes	characteristic
47	#16839704	C₂²	1	1	yes	characteristic
48	#16839704	C₂²	1	1	yes	characteristic
49	#16839703	C₂²	1	1	yes	characteristic
50	#16839703	C₂²	1	1	yes	characteristic
51	#16839703	C₂²	1	1	yes	characteristic
52	#16839703	C₂²	1	1	yes	characteristic
53	#16839703	C₂²	1	1	yes	characteristic
54	#16839703	C₂²	1	1	yes	characteristic
55	#16839703	C₂²	1	1	yes	characteristic
56	#16839702	C₂²	1	1	yes	characteristic
57	#16839702	C₂²	1	1	yes	characteristic
58	#16839702	C₂²	1	1	yes	characteristic
59	#16839701	C₂²	1	1	yes	characteristic
60	#16839701	C₂²	1	1	yes	characteristic
61	#16839701	C₂²	1	1	yes	characteristic
62	#16839701	C₂²	1	1	yes	characteristic
63	#16839700	C₂²	1	1	yes	characteristic
64	#16839700	C₂²	1	1	yes	characteristic
65	#16839700	C₂²	1	1	yes	characteristic
66	#16839700	C₂²	1	1	yes	characteristic
67	#16839698	C₂²	1	1	yes	characteristic
68	#16839697	C₂²	1	1	yes	characteristic
69	#16839697	C₂²	1	1	yes	characteristic
70	#16839696	C₂²	1	1	yes	characteristic
71	#16839696	C₂²	1	1	yes	characteristic
72	#16839696	C₂²	1	1	yes	characteristic
73	#16839696	C₂²	1	1	yes	characteristic
74	#16839696	C₂²	1	1	yes	characteristic
75	#16839695	C₂²	1	1	yes	characteristic
76	#16839695	C₂²	1	1	yes	characteristic
77	#16839695	C₂²	1	1	yes	characteristic
78	#16839695	C₂²	1	1	yes	characteristic
79	#16839695	C₂²	1	1	yes	characteristic
80	#16839695	C₂²	1	1	yes	characteristic
81	#16839695	C₂²	1	1	yes	characteristic
82	#16839694	C₂²	1	1	yes	characteristic
83	#16839694	C₂²	1	1	yes	characteristic
84	#16839693	C₂²	1	1	yes	characteristic
85	#16839693	C₂²	1	1	yes	characteristic
86	#16839693	C₂²	1	1	yes	characteristic
87	#16839693	C₂²	1	1	yes	characteristic
88	#16839692	C₂²	1	1	yes	characteristic
89	#16839692	C₂²	1	1	yes	characteristic
90	#16839692	C₂²	1	1	yes	characteristic
91	#16839691	C₂²	1	1	yes	characteristic
92	#16839691	C₂²	1	1	yes	characteristic
93	#16839691	C₂²	1	1	yes	characteristic
94	#16839691	C₂²	1	1	yes	characteristic
95	#16839690	C₂²	1	1	yes	characteristic
96	#16839690	C₂²	1	1	yes	characteristic
97	#16839690	C₂²	1	1	yes	characteristic
98	#16839690	C₂²	1	1	yes	characteristic
99	#16839690	C₂²	1	1	yes	characteristic
100	#16839690	C₂²	1	1	yes	characteristic
101	#16839689	C₂²	1	1	yes	characteristic
102	#16839689	C₂²	1	1	yes	characteristic
103	#16839689	C₂²	1	1	yes	characteristic
104	#16839688	C₂²	1	1	yes	characteristic
105	#16839688	C₂²	1	1	yes	characteristic
106	#16839687	C₂²	1	1	yes	characteristic
107	#16839687	C₂²	1	1	yes	characteristic
108	#16839686	C₂²	1	1	yes	characteristic
109	#16839685	C₂²	1	1	yes	characteristic
110	#16839685	C₂²	1	1	yes	characteristic
111	#16839684	C₂²	1	1	yes	characteristic
112	#16839684	C₂²	1	1	yes	characteristic
113	#16839684	C₂²	1	1	yes	characteristic
114	#16839684	C₂²	1	1	yes	characteristic
115	#16839684	C₂²	1	1	yes	characteristic
116	#16839683	C₂²	1	1	yes	characteristic
117	#16839683	C₂²	1	1	yes	characteristic
118	#16839682	C₂²	1	1	yes	characteristic
119	#16839682	C₂²	1	1	yes	characteristic
120	#16839682	C₂²	1	1	yes	characteristic
121	#16839682	C₂²	1	1	yes	characteristic
122	#16839682	C₂²	1	1	yes	characteristic
123	#16839681	C₂²	1	1	yes	characteristic
124	#16839681	C₂²	1	1	yes	characteristic
125	#16839681	C₂²	1	1	yes	characteristic
126	#16839678	C₂²	1	1	yes	characteristic
127	#16839678	C₂²	1	1	yes	characteristic
128	#16839677	C₂²	1	1	yes	characteristic
129	#16839677	C₂²	1	1	yes	characteristic
130	#16839675	C₂²	1	1	yes	characteristic
131	#16839675	C₂²	1	1	yes	characteristic
132	#16839674	C₂²	1	1	yes	characteristic
133	#16839673	C₂²	1	1	yes	characteristic
134	#16839668	C₂²	1	1	yes	characteristic
135	#16839660	C₂²	1	1	yes	characteristic
136	#16839653	C₂²	1	1	yes	characteristic
137	#16839653	C₂²	1	1	yes	characteristic
138	#16839646	C₂²	1	1	yes	characteristic
139	#16839646	C₂²	1	1	yes	characteristic
140	#16839646	C₂²	1	1	yes	characteristic
141	#16839646	C₂²	1	1	yes	characteristic
142	#16839641	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	#16839625	C₂²	1	1	yes	characteristic
147	#16839622	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×#11758196	C₂²	1	1	yes	characteristic
156	C₄×#11758196	C₂²	1	1	yes	characteristic
157	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic
158	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic
159	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic
160	C₄×C₄⋊Dic₆₁	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	#16839608	C₂²	1	1	yes	characteristic
170	#16839608	C₂²	1	1	yes	characteristic
171	#16839608	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	#14519760	—	2	4	no	—
192	#14519756	—	2	4	no	—
193	C₄×Dic₁₂₂	—	4	2	no	—
194	C₄×Dic₁₂₂	—	4	2	no	—
195	C₄×C₂²⋊D₆₁	—	4	2	no	—
196	#14519734	—	4	2	no	—
197	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
207	C₂×#11758196	C₂³	1	1	yes	characteristic
208	C₂×#11758196	C₂³	1	1	yes	characteristic
209	C₂×#11758196	C₂³	1	1	yes	characteristic
210	C₂×#11758196	C₂³	1	1	yes	characteristic
211	C₂×#11758196	C₂³	1	1	yes	characteristic
212	C₂×#11758196	C₂³	1	1	yes	characteristic
213	C₂×#11758196	C₂³	1	1	yes	characteristic
214	C₂×#11758196	C₂³	1	1	yes	characteristic
215	C₂×#11758196	C₂³	1	1	yes	characteristic
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×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
239	C₂×#11758198	C₂³	1	1	yes	characteristic
240	C₂×#11758198	C₂³	1	1	yes	characteristic
241	C₂×#11758198	C₂³	1	1	yes	characteristic
242	C₂×#11758198	C₂³	1	1	yes	characteristic
243	C₂×#11758198	C₂³	1	1	yes	characteristic
244	C₂×#11758198	C₂³	1	1	yes	characteristic
245	C₂×#11758198	C₂³	1	1	yes	characteristic
246	C₂×#11758198	C₂³	1	1	yes	characteristic
247	C₂×#11758198	C₂³	1	1	yes	characteristic
248	C₂×#11758198	C₂³	1	1	yes	characteristic
249	C₂×#11758198	C₂³	1	1	yes	characteristic
250	C₂×#11758198	C₂³	1	1	yes	characteristic
251	C₂×#11758198	C₂³	1	1	yes	characteristic
252	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
253	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
259	#14519684	C₂³	1	1	yes	characteristic
260	#14519684	C₂³	1	1	yes	characteristic
261	#14519684	C₂³	1	1	yes	characteristic
262	#14519684	C₂³	1	1	yes	characteristic
263	#14519684	C₂³	1	1	yes	characteristic
264	#14519684	C₂³	1	1	yes	characteristic
265	#14519684	C₂³	1	1	yes	characteristic
266	#14519684	C₂³	1	1	yes	characteristic
267	#14519684	C₂³	1	1	yes	characteristic
268	#14519684	C₂³	1	1	yes	characteristic
269	#14519684	C₂³	1	1	yes	characteristic
270	#14519684	C₂³	1	1	yes	characteristic
271	#14519684	C₂³	1	1	yes	characteristic
272	#14519684	C₂³	1	1	yes	characteristic
273	#14519684	C₂³	1	1	yes	characteristic
274	#14519684	C₂³	1	1	yes	characteristic
275	#14519684	C₂³	1	1	yes	characteristic
276	#14519684	C₂³	1	1	yes	characteristic
277	#14519684	C₂³	1	1	yes	characteristic
278	#14519684	C₂³	1	1	yes	characteristic
279	#14519684	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	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
314	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
315	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₆₁	—	2	4	no	—
318	C₄×Q₈×C₆₁	—	4	2	no	—
319	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₆₁	—	4	2	no	—
333	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
341	#95×C₆₁	C₂³	1	1	yes	characteristic
342	#95×C₆₁	C₂³	1	1	yes	characteristic
343	#95×C₆₁	C₂³	1	1	yes	characteristic
344	#95×C₆₁	C₂³	1	1	yes	characteristic
345	#95×C₆₁	C₂³	1	1	yes	characteristic
346	#95×C₆₁	C₂³	1	1	yes	characteristic
347	#95×C₆₁	C₂³	1	1	yes	characteristic
348	#95×C₆₁	C₂³	1	1	yes	characteristic
349	#95×C₆₁	C₂³	1	1	yes	characteristic
350	#95×C₆₁	C₂³	1	1	yes	characteristic
351	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
352	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
353	C₂×Q₈×C₆₁	—	2	2	no	—
354	C₂×Q₈×C₆₁	—	4	1	no	—
355	C₂×Q₈×C₆₁	—	4	1	no	—
356	C₂²×C₄×C₆₁	—	2	2	no	—
357	C₂²×C₄×C₆₁	—	2	2	no	—
358	C₂²×C₄×C₆₁	—	2	2	no	—
359	C₂²×C₄×C₆₁	—	4	1	no	—
360	C₂²×C₄×C₆₁	—	4	1	no	—
361	C₂²×C₄×C₆₁	—	4	1	no	—
362	C₂²×C₄×C₆₁	—	4	1	no	—
363	C₂²×C₄×C₆₁	—	4	1	no	—
364	C₂²×C₄×C₆₁	#41	1	4	yes	—
365	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₆₁	—	2	2	no	—
380	C₂×C₂²⋊D₆₁	—	4	1	no	—
381	C₂×C₂²⋊D₆₁	—	4	1	no	—
382	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₆₁	—	2	2	no	—
398	C₂×C₄×D₆₁	—	2	2	no	—
399	C₂×C₄×D₆₁	—	2	2	no	—
400	C₂×Dic₁₂₂	—	2	2	no	—
401	C₂×Dic₁₂₂	—	4	1	no	—
402	C₂×Dic₁₂₂	—	4	1	no	—
403	C₂×Dic₁₂₂	—	4	1	no	—
404	C₂×Dic₁₂₂	—	4	1	no	—
405	C₂×Dic₁₂₂	—	4	1	no	—
406	C₄⋊C₄×C₆₁	—	2	2	no	—
407	C₄⋊C₄×C₆₁	—	2	2	no	—
408	C₄⋊C₄×C₆₁	—	2	2	no	—
409	C₄⋊C₄×C₆₁	—	4	1	no	—
410	C₄⋊C₄×C₆₁	—	4	1	no	—
411	C₄⋊C₄×C₆₁	—	4	1	no	—
412	C₄⋊C₄×C₆₁	—	4	1	no	—
413	C₄⋊C₄×C₆₁	—	4	1	no	—
414	C₄⋊C₄×C₆₁	—	4	1	no	—
415	C₂²⋊C₄×C₆₁	—	2	2	no	—
416	C₂²⋊C₄×C₆₁	—	2	2	no	—
417	C₂²⋊C₄×C₆₁	—	4	1	no	—
418	C₂²⋊C₄×C₆₁	—	4	1	no	—
419	C₄²×C₆₁	—	2	2	no	—
420	C₄²×C₆₁	—	2	2	no	—
421	C₄²×C₆₁	—	2	2	no	—
422	C₄²×C₆₁	—	2	2	no	—
423	C₄²×C₆₁	—	2	2	no	—
424	C₄²×C₆₁	—	2	2	no	—
425	C₄²×C₆₁	—	4	1	no	—
426	C₄²×C₆₁	—	4	1	no	—
427	C₂²⋊Dic₆₁	—	2	2	no	—
428	C₂²⋊Dic₆₁	—	2	2	no	—
429	C₂²⋊Dic₆₁	—	2	2	no	—
430	C₂²⋊Dic₆₁	—	4	1	no	—
431	C₂²⋊Dic₆₁	—	4	1	no	—
432	C₂²⋊Dic₆₁	—	4	1	no	—
433	C₂²⋊Dic₆₁	—	4	1	no	—
434	#11758198	—	2	2	no	—
435	#11758198	—	2	2	no	—
436	#11758198	—	4	1	no	—
437	#11758198	—	4	1	no	—
438	#11758198	—	4	1	no	—
439	#11758198	—	4	1	no	—
440	#11758198	—	4	1	no	—
441	#11758198	—	4	1	no	—
442	#11758198	—	4	1	no	—
443	#11758198	—	4	1	no	—
444	#11758198	—	4	1	no	—
445	#11758198	—	4	1	no	—
446	#11758198	—	4	1	no	—
447	C₄⋊Dic₆₁	—	2	2	no	—
448	C₄⋊Dic₆₁	—	4	1	no	—
449	C₄⋊Dic₆₁	—	4	1	no	—
450	C₄⋊Dic₆₁	—	4	1	no	—
451	C₄⋊Dic₆₁	—	4	1	no	—
452	C₄⋊Dic₆₁	—	4	1	no	—
453	C₄⋊Dic₆₁	—	4	1	no	—
454	C₄⋊Dic₆₁	—	4	1	no	—
455	C₄⋊Dic₆₁	—	4	1	no	—
456	C₄⋊Dic₆₁	—	4	1	no	—
457	#11758196	—	2	2	no	—
458	#11758196	—	2	2	no	—
459	#11758196	—	2	2	no	—
460	#11758196	—	2	2	no	—
461	#11758196	—	4	1	no	—
462	#11758196	—	4	1	no	—
463	#11758196	—	4	1	no	—
464	#11758196	—	4	1	no	—
465	#11758196	—	4	1	no	—
466	#11758196	—	4	1	no	—
467	#11758196	—	4	1	no	—
468	#11758196	—	4	1	no	—
469	#11758196	—	4	1	no	—
470	#11758196	—	4	1	no	—
471	#11758196	—	4	1	no	—
472	#11758196	—	4	1	no	—
473	#11758196	—	4	1	no	—
474	#11758196	—	4	1	no	—
475	#11758196	—	4	1	no	—
476	#11758196	—	4	1	no	—
477	#11758196	—	4	1	no	—
478	#11758196	—	4	1	no	—
479	#11758196	—	4	1	no	—
480	#11758196	—	4	1	no	—
481	#11758196	—	4	1	no	—
482	C₄×Dic₆₁	—	2	2	no	—
483	C₄×Dic₆₁	—	2	2	no	—
484	C₄×Dic₆₁	—	2	2	no	—
485	C₄×Dic₆₁	—	2	2	no	—
486	C₄×Dic₆₁	—	2	2	no	—
487	C₄×Dic₆₁	—	2	2	no	—
488	C₄×Dic₆₁	—	2	2	no	—
489	C₂³×C₆₁	—	2	1	no	—
490	C₂³×C₆₁	—	2	1	no	—
491	C₂³×C₆₁	—	2	1	no	—
492	C₂³×C₆₁	—	2	1	no	—
493	C₂³×C₆₁	—	2	1	no	—
494	C₂³×C₆₁	—	2	1	no	—
495	C₂³×C₆₁	C₂×#41	1	2	yes	—
496	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
497	C₂²×D₆₁	—	2	1	no	—
498	C₂²×D₆₁	—	2	1	no	—
499	C₂²×D₆₁	—	2	1	no	—
500	C₂²×D₆₁	—	2	1	no	—
501	C₂²×D₆₁	—	2	1	no	—
502	C₂²×D₆₁	—	2	1	no	—
503	C₂²×D₆₁	—	2	1	no	—
504	Q₈×C₆₁	—	4	4	no	—
505	C₂×C₄×C₆₁	—	2	1	no	—
506	C₂×C₄×C₆₁	—	2	1	no	—
507	C₂×C₄×C₆₁	—	2	1	no	—
508	C₂×C₄×C₆₁	—	2	1	no	—
509	C₂×C₄×C₆₁	—	2	1	no	—
510	C₂×C₄×C₆₁	—	2	1	no	—
511	C₂×C₄×C₆₁	—	2	1	no	—
512	C₂×C₄×C₆₁	—	2	1	no	—
513	C₂×C₄×C₆₁	—	2	1	no	—
514	C₂×C₄×C₆₁	—	2	1	no	—
515	C₂×C₄×C₆₁	—	2	1	no	—
516	C₂×C₄×C₆₁	—	2	1	no	—
517	C₂×C₄×C₆₁	—	2	1	no	—
518	C₂×C₄×C₆₁	—	2	1	no	—
519	C₂×C₄×C₆₁	—	2	1	no	—
520	C₂×C₄×C₆₁	—	2	1	no	—
521	C₂×C₄×C₆₁	—	2	1	no	—
522	C₂×C₄×C₆₁	—	2	1	no	—
523	C₂×C₄×C₆₁	—	2	1	no	—
524	C₂×C₄×C₆₁	—	2	1	no	—
525	C₂×C₄×C₆₁	—	2	1	no	—
526	C₂×C₄×C₆₁	—	2	1	no	—
527	C₂×C₄×C₆₁	—	2	1	no	—
528	C₂×C₄×C₆₁	—	2	1	no	—
529	C₂×C₄×C₆₁	—	2	1	no	—
530	C₂×C₄×C₆₁	—	2	1	no	—
531	C₂×C₄×C₆₁	—	2	1	no	—
532	C₂×C₄×C₆₁	—	2	1	no	—
533	C₂×C₄×C₆₁	—	2	1	no	—
534	C₂×C₄×C₆₁	—	2	1	no	—
535	C₂×C₄×C₆₁	—	2	1	no	—
536	C₂×C₄×C₆₁	—	2	1	no	—
537	C₂×C₄×C₆₁	—	2	1	no	—
538	C₂×C₄×C₆₁	—	2	1	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	—	4	4	no	—
543	C₂×C₄×C₆₁	—	4	4	no	—
544	C₂×C₄×C₆₁	—	4	4	no	—
545	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
546	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
547	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
548	C₂×C₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
549	C₂×C₄×C₆₁	2₋¹⁺⁴	1	2	yes	—
550	C₂²⋊D₆₁	—	4	4	no	—
551	C₂×Dic₆₁	—	2	1	no	—
552	C₂×Dic₆₁	—	2	1	no	—
553	C₂×Dic₆₁	—	2	1	no	—
554	C₂×Dic₆₁	—	2	1	no	—
555	C₂×Dic₆₁	—	2	1	no	—
556	C₂×Dic₆₁	—	2	1	no	—
557	C₂×Dic₆₁	—	2	1	no	—
558	C₂×Dic₆₁	—	2	1	no	—
559	C₂×Dic₆₁	—	2	1	no	—
560	C₂×Dic₆₁	—	2	1	no	—
561	C₂×Dic₆₁	—	2	1	no	—
562	C₂×Dic₆₁	—	2	1	no	—
563	C₂×Dic₆₁	—	2	1	no	—
564	C₂×Dic₆₁	—	2	1	no	—
565	C₂×Dic₆₁	—	2	1	no	—
566	C₂×Dic₆₁	—	2	1	no	—
567	C₂×Dic₆₁	—	2	1	no	—
568	C₂×Dic₆₁	—	2	1	no	—
569	C₂×Dic₆₁	—	2	1	no	—
570	C₂×Dic₆₁	—	2	1	no	—
571	C₂×Dic₆₁	—	2	1	no	—
572	C₂×Dic₆₁	—	2	1	no	—
573	C₂×Dic₆₁	—	2	1	no	—
574	C₂×Dic₆₁	—	2	1	no	—
575	C₂×Dic₆₁	—	2	1	no	—
576	C₂×Dic₆₁	—	2	1	no	—
577	C₂×Dic₆₁	—	2	1	no	—
578	C₂×Dic₆₁	—	2	1	no	—
579	C₂×Dic₆₁	—	2	1	no	—
580	C₂×Dic₆₁	—	2	1	no	—
581	C₂×Dic₆₁	—	2	1	no	—
582	C₂×Dic₆₁	—	2	1	no	—
583	C₂×Dic₆₁	—	2	1	no	—
584	C₂×Dic₆₁	—	2	1	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	C₄×D₆₁	—	4	4	no	—
597	Dic₁₂₂	—	4	4	no	—
598	Dic₁₂₂	—	4	4	no	—
599	#36679	—	61	1	no	maximal, Sylow
600	C₂²×C₆₁	—	2	2	no	—
601	C₂²×C₆₁	—	2	2	no	—
602	C₂²×C₆₁	—	2	2	no	—
603	C₂²×C₆₁	—	4	1	no	—
604	C₂²×C₆₁	—	4	1	no	—
605	C₂²×C₆₁	—	4	1	no	—
606	C₂²×C₆₁	—	4	1	no	—
607	C₂²×C₆₁	C₂²×#41	1	1	yes	characteristic
608	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
609	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
610	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
611	C₂²×C₆₁	#585	1	1	yes	characteristic
612	C₂²×C₆₁	#585	1	1	yes	characteristic
613	C₂²×C₆₁	#585	1	1	yes	characteristic
614	C₂×D₆₁	—	4	1	no	—
615	C₂×D₆₁	—	4	1	no	—
616	C₂×D₆₁	—	4	1	no	—
617	C₂×D₆₁	—	4	1	no	—
618	C₂×D₆₁	—	4	1	no	—
619	C₂×D₆₁	—	4	1	no	—
620	C₂×D₆₁	—	4	1	no	—
621	C₄×C₆₁	—	2	2	no	—
622	C₄×C₆₁	—	2	2	no	—
623	C₄×C₆₁	—	4	1	no	—
624	C₄×C₆₁	—	4	1	no	—
625	C₄×C₆₁	—	4	1	no	—
626	C₄×C₆₁	—	4	1	no	—
627	C₄×C₆₁	—	4	1	no	—
628	C₄×C₆₁	—	4	1	no	—
629	C₄×C₆₁	—	4	1	no	—
630	C₄×C₆₁	—	4	1	no	—
631	C₄×C₆₁	—	4	1	no	—
632	C₄×C₆₁	—	4	1	no	—
633	C₄×C₆₁	—	4	1	no	—
634	C₄×C₆₁	#563	1	4	yes	—
635	Dic₆₁	—	4	1	no	—
636	Dic₆₁	—	4	1	no	—
637	Dic₆₁	—	4	1	no	—
638	Dic₆₁	—	4	1	no	—
639	Dic₆₁	—	4	1	no	—
640	Dic₆₁	—	4	1	no	—
641	Dic₆₁	—	4	1	no	—
642	Dic₆₁	—	4	1	no	—
643	Dic₆₁	—	4	1	no	—
644	Dic₆₁	—	4	1	no	—
645	Dic₆₁	—	4	1	no	—
646	Dic₆₁	—	4	1	no	—
647	Dic₆₁	—	4	1	no	—
648	Dic₆₁	—	4	1	no	—
649	Dic₆₁	—	4	1	no	—
650	#2841	—	61	1	no	—
651	#2839	—	61	1	no	—
652	#2839	—	61	1	no	—
653	#2838	—	61	1	no	—
654	#2838	—	61	1	no	—
655	#2835	—	61	1	no	—
656	#2834	—	61	1	no	—
657	#2833	—	61	1	no	—
658	#2833	—	61	1	no	—
659	#2831	—	61	1	no	—
660	#2831	—	61	1	no	—
661	#2827	—	61	1	no	—
662	#2827	—	61	1	no	—
663	#2817	—	61	1	no	—
664	#2814	—	61	1	no	—
665	#2814	—	61	1	no	—
666	#2402	—	61	1	no	—
667	#2402	—	61	1	no	—
668	#2401	—	61	1	no	—
669	#2401	—	61	1	no	—
670	#2401	—	61	1	no	—
671	#2401	—	61	1	no	—
672	#2399	—	61	1	no	—
673	#2399	—	61	1	no	—
674	#2398	—	61	1	no	—
675	#2396	—	61	1	no	—
676	#2396	—	61	1	no	—
677	#2395	—	61	1	no	—
678	C₄×C₂²⋊Q₈	—	61	1	no	—
679	C₄×C₂²⋊Q₈	D₆₁	1	1	yes	characteristic, complemented
680	C₄×#123	—	61	1	no	—
681	C₂×C₆₁	—	4	2	no	—
682	C₂×C₆₁	#3459	1	1	yes	characteristic
683	C₂×C₆₁	#3461	1	1	yes	characteristic
684	C₂×C₆₁	#3461	1	1	yes	characteristic
685	C₂×C₆₁	C₂×#563	1	1	yes	characteristic
686	C₂×C₆₁	#3529	1	1	yes	characteristic
687	C₂×C₆₁	#3531	1	1	yes	characteristic
688	C₂×C₆₁	#3531	1	1	yes	characteristic
689	D₆₁	—	8	1	no	—
690	C₂×#123	—	61	1	no	—
691	C₂×C₂²⋊Q₈	—	61	1	no	—
692	C₂×C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic
693	C₂×C₄×Q₈	—	61	1	no	—
694	C₂×C₄×Q₈	—	61	1	no	—
695	C₂×C₄×Q₈	C₂×D₆₁	1	1	yes	characteristic
696	C₂×C₄×D₄	—	61	1	no	—
697	C₂×#117	—	61	1	no	—
698	C₂²×C₄²	C₂×D₆₁	1	1	yes	characteristic
699	#401	—	61	1	no	—
700	#401	—	61	1	no	—
701	#401	—	61	1	no	—
702	#401	—	61	1	no	—
703	#400	—	61	1	no	—
704	#400	—	61	1	no	—
705	#400	—	61	1	no	—
706	#400	—	61	1	no	—
707	#400	—	61	1	no	—
708	#400	—	61	1	no	—
709	#400	—	61	1	no	—
710	#400	—	61	1	no	—
711	#400	—	61	1	no	—
712	#400	—	61	1	no	—
713	#400	—	61	1	no	—
714	#400	—	61	1	no	—
715	#400	—	61	1	no	—
716	#400	—	61	1	no	—
717	#400	—	61	1	no	—
718	#400	—	61	1	no	—
719	#400	—	61	1	no	—
720	#400	—	61	1	no	—
721	#400	—	61	1	no	—
722	#400	—	61	1	no	—
723	#400	—	61	1	no	—
724	#400	—	61	1	no	—
725	#400	—	61	1	no	—
726	#400	—	61	1	no	—
727	#400	—	61	1	no	—
728	#399	—	61	1	no	—
729	#399	—	61	1	no	—
730	#399	—	61	1	no	—
731	#398	—	61	1	no	—
732	#398	—	61	1	no	—
733	#398	—	61	1	no	—
734	#398	—	61	1	no	—
735	#398	—	61	1	no	—
736	#398	—	61	1	no	—
737	#398	—	61	1	no	—
738	#398	—	61	1	no	—
739	#398	—	61	1	no	—
740	#398	—	61	1	no	—
741	#398	—	61	1	no	—
742	#398	—	61	1	no	—
743	#398	—	61	1	no	—
744	#398	—	61	1	no	—
745	#398	—	61	1	no	—
746	#398	—	61	1	no	—
747	#398	—	61	1	no	—
748	#398	—	61	1	no	—
749	#398	—	61	1	no	—
750	#398	—	61	1	no	—
751	#398	—	61	1	no	—
752	#397	—	61	1	no	—
753	#397	—	61	1	no	—
754	#397	—	61	1	no	—
755	#397	—	61	1	no	—
756	#397	—	61	1	no	—
757	#397	—	61	1	no	—
758	#397	—	61	1	no	—
759	#397	—	61	1	no	—
760	#397	—	61	1	no	—
761	#397	—	61	1	no	—
762	#397	—	61	1	no	—
763	#397	—	61	1	no	—
764	#397	—	61	1	no	—
765	#397	—	61	1	no	—
766	#397	—	61	1	no	—
767	#397	—	61	1	no	—
768	#397	—	61	1	no	—
769	#396	—	61	1	no	—
770	#396	—	61	1	no	—
771	#396	—	61	1	no	—
772	#396	—	61	1	no	—
773	#396	—	61	1	no	—
774	#396	—	61	1	no	—
775	#396	—	61	1	no	—
776	#396	—	61	1	no	—
777	#395	—	61	1	no	—
778	#395	—	61	1	no	—
779	#395	—	61	1	no	—
780	#395	—	61	1	no	—
781	#395	—	61	1	no	—
782	#395	—	61	1	no	—
783	#395	—	61	1	no	—
784	#395	—	61	1	no	—
785	#395	—	61	1	no	—
786	#395	—	61	1	no	—
787	#394	—	61	1	no	—
788	#394	—	61	1	no	—
789	#394	—	61	1	no	—
790	#394	—	61	1	no	—
791	#393	—	61	1	no	—
792	#393	—	61	1	no	—
793	#393	—	61	1	no	—
794	#393	—	61	1	no	—
795	#391	—	61	1	no	—
796	#391	C₂×D₆₁	1	1	yes	characteristic
797	#389	—	61	1	no	—
798	#389	C₂×D₆₁	1	1	yes	characteristic
799	#388	—	61	1	no	—
800	#388	—	61	1	no	—
801	#387	—	61	1	no	—
802	#387	—	61	1	no	—
803	#387	—	61	1	no	—
804	#387	—	61	1	no	—
805	#387	C₂×D₆₁	1	1	yes	characteristic
806	#387	C₂×D₆₁	1	1	yes	characteristic
807	#386	—	61	1	no	—
808	#385	—	61	1	no	—
809	#385	—	61	1	no	—
810	#385	—	61	1	no	—
811	#385	C₂×D₆₁	1	1	yes	characteristic
812	#385	C₂×D₆₁	1	1	yes	characteristic
813	#381	—	61	1	no	—
814	#380	—	61	1	no	—
815	#380	C₂×D₆₁	1	1	yes	characteristic
816	C₄×C₄⋊C₄	—	61	1	no	—
817	C₄×C₄⋊C₄	—	61	1	no	—
818	C₄×C₄⋊C₄	—	61	1	no	—
819	C₄×C₄⋊C₄	—	61	1	no	—
820	C₄×C₄⋊C₄	—	61	1	no	—
821	C₄×C₄⋊C₄	—	61	1	no	—
822	C₄×C₄⋊C₄	—	61	1	no	—
823	C₄×C₄⋊C₄	—	61	1	no	—
824	C₄×C₄⋊C₄	—	61	1	no	—
825	C₄×C₄⋊C₄	—	61	1	no	—
826	C₄×C₄⋊C₄	—	61	1	no	—
827	C₄×C₄⋊C₄	—	61	1	no	—
828	C₄×C₄⋊C₄	—	61	1	no	—
829	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic
830	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic
831	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic
832	C₄×C₂²⋊C₄	—	61	1	no	—
833	C₄×C₂²⋊C₄	—	61	1	no	—
834	C₄×C₂²⋊C₄	—	61	1	no	—
835	C₄×C₂²⋊C₄	—	61	1	no	—
836	C₄×C₂²⋊C₄	—	61	1	no	—
837	C₄×C₂²⋊C₄	—	61	1	no	—
838	C₄×C₂²⋊C₄	—	61	1	no	—
839	C₄×C₂²⋊C₄	—	61	1	no	—
840	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
841	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
842	#376	—	61	1	no	—
843	#376	—	61	1	no	—
844	#376	—	61	1	no	—
845	C₆₁	#36679	1	1	yes	characteristic, complemented, Sylow
846	C₂²×Q₈	—	61	1	no	—
847	C₂²×Q₈	—	61	1	no	—
848	C₂²×Q₈	C₂²×D₆₁	1	1	yes	characteristic
849	C₂²×D₄	—	61	1	no	—
850	C₂³×C₄	—	61	1	no	—
851	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
852	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
853	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
854	#123	—	122	4	no	—
855	C₂²⋊Q₈	—	2	4	no	—
856	C₂²⋊Q₈	—	122	4	no	—
857	C₄×Q₈	—	4	2	no	—
858	C₄×Q₈	—	244	2	no	—
859	C₄×Q₈	—	244	2	no	—
860	C₄×D₄	—	244	2	no	—
861	#117	—	244	2	no	—
862	C₂×C₄⋊C₄	—	61	1	no	—
863	C₂×C₄⋊C₄	—	61	1	no	—
864	C₂×C₄⋊C₄	—	61	1	no	—
865	C₂×C₄⋊C₄	—	61	1	no	—
866	C₂×C₄⋊C₄	—	61	1	no	—
867	C₂×C₄⋊C₄	—	61	1	no	—
868	C₂×C₄⋊C₄	—	61	1	no	—
869	C₂×C₄⋊C₄	—	61	1	no	—
870	C₂×C₄⋊C₄	—	61	1	no	—
871	C₂×C₄⋊C₄	—	61	1	no	—
872	C₂×C₄⋊C₄	—	61	1	no	—
873	C₂×C₄⋊C₄	—	61	1	no	—
874	C₂×C₄⋊C₄	—	61	1	no	—
875	C₂×C₄⋊C₄	—	61	1	no	—
876	C₂×C₄⋊C₄	—	61	1	no	—
877	C₂×C₄⋊C₄	—	61	1	no	—
878	C₂×C₄⋊C₄	—	61	1	no	—
879	C₂×C₄⋊C₄	—	61	1	no	—
880	C₂×C₄⋊C₄	—	61	1	no	—
881	C₂×C₄⋊C₄	—	61	1	no	—
882	C₂×C₄⋊C₄	—	61	1	no	—
883	C₂×C₄⋊C₄	—	61	1	no	—
884	C₂×C₄⋊C₄	—	61	1	no	—
885	C₂×C₄⋊C₄	—	61	1	no	—
886	C₂×C₄⋊C₄	—	61	1	no	—
887	C₂×C₄⋊C₄	—	61	1	no	—
888	C₂×C₄⋊C₄	—	61	1	no	—
889	C₂×C₄⋊C₄	—	61	1	no	—
890	C₂×C₄⋊C₄	—	61	1	no	—
891	C₂×C₄⋊C₄	—	61	1	no	—
892	C₂×C₄⋊C₄	—	61	1	no	—
893	C₂×C₄⋊C₄	—	61	1	no	—
894	C₂×C₄⋊C₄	—	61	1	no	—
895	C₂×C₄⋊C₄	—	61	1	no	—
896	C₂×C₄⋊C₄	—	61	1	no	—
897	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	—	61	1	no	—
907	C₂×C₂²⋊C₄	—	61	1	no	—
908	C₂×C₂²⋊C₄	—	61	1	no	—
909	C₂×C₂²⋊C₄	—	61	1	no	—
910	C₂×C₂²⋊C₄	—	61	1	no	—
911	C₂×C₂²⋊C₄	—	61	1	no	—
912	C₂×C₂²⋊C₄	—	61	1	no	—
913	C₂×C₂²⋊C₄	—	61	1	no	—
914	C₂×C₂²⋊C₄	—	61	1	no	—
915	C₂×C₂²⋊C₄	—	61	1	no	—
916	C₂×C₂²⋊C₄	—	61	1	no	—
917	C₂×C₂²⋊C₄	—	61	1	no	—
918	C₂×C₂²⋊C₄	—	61	1	no	—
919	C₂×C₂²⋊C₄	—	61	1	no	—
920	C₂×C₂²⋊C₄	—	61	1	no	—
921	C₂×C₂²⋊C₄	—	61	1	no	—
922	C₂×C₂²⋊C₄	—	61	1	no	—
923	C₂×C₂²⋊C₄	—	61	1	no	—
924	C₂×C₂²⋊C₄	—	61	1	no	—
925	C₂×C₂²⋊C₄	—	61	1	no	—
926	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
930	C₂×C₄²	—	4	2	no	—
931	C₂×C₄²	—	61	1	no	—
932	C₂×C₄²	—	61	1	no	—
933	C₂×C₄²	—	61	1	no	—
934	C₂×C₄²	—	61	1	no	—
935	C₂×C₄²	—	61	1	no	—
936	C₂×C₄²	—	61	1	no	—
937	C₂×C₄²	—	61	1	no	—
938	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
939	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
940	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
941	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
942	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
943	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
944	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
945	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
946	#95	—	61	1	no	—
947	#95	—	61	1	no	—
948	#95	—	61	1	no	—
949	#95	—	61	1	no	—
950	#95	—	61	1	no	—
951	#95	—	61	1	no	—
952	#95	—	61	1	no	—
953	#95	—	61	1	no	—
954	#95	—	61	1	no	—
955	#95	—	61	1	no	—
956	#95	—	61	1	no	—
957	#95	—	61	1	no	—
958	#95	—	61	1	no	—
959	#95	—	61	1	no	—
960	#95	—	61	1	no	—
961	#95	—	61	1	no	—
962	#95	—	61	1	no	—
963	#95	—	61	1	no	—
964	#95	—	61	1	no	—
965	#95	—	61	1	no	—
966	#95	—	61	1	no	—
967	#95	—	61	1	no	—
968	#95	—	61	1	no	—
969	#95	—	61	1	no	—
970	#95	—	61	1	no	—
971	#95	—	61	1	no	—
972	#95	—	61	1	no	—
973	#95	—	61	1	no	—
974	#95	—	61	1	no	—
975	#95	—	61	1	no	—
976	#95	—	61	1	no	—
977	#95	—	61	1	no	—
978	#95	—	61	1	no	—
979	#95	—	61	1	no	—
980	#95	—	61	1	no	—
981	#95	—	61	1	no	—
982	#95	—	61	1	no	—
983	#95	—	61	1	no	—
984	#95	—	61	1	no	—
985	#95	—	61	1	no	—
986	#95	—	61	1	no	—
987	#95	—	61	1	no	—
988	#95	—	61	1	no	—
989	#95	—	61	1	no	—
990	#95	—	61	1	no	—
991	#95	—	61	1	no	—
992	#95	—	61	1	no	—
993	#95	—	61	1	no	—
994	#95	—	61	1	no	—
995	#95	—	61	1	no	—
996	#95	—	61	1	no	—
997	#95	—	61	1	no	—
998	#95	—	61	1	no	—
999	#95	—	61	1	no	—
1000	#95	C₂²×D₆₁	1	1	yes	characteristic
1001	#95	C₂²×D₆₁	1	1	yes	characteristic
1002	#95	C₂²×D₆₁	1	1	yes	characteristic
1003	#95	C₂²×D₆₁	1	1	yes	characteristic
1004	#95	C₂²×D₆₁	1	1	yes	characteristic
1005	#95	C₂²×D₆₁	1	1	yes	characteristic
1006	#95	C₂²×D₆₁	1	1	yes	characteristic
1007	#95	C₂²×D₆₁	1	1	yes	characteristic
1008	#95	C₂²×D₆₁	1	1	yes	characteristic
1009	#95	C₂²×D₆₁	1	1	yes	characteristic
1010	C₂⁴	—	61	1	no	—
1011	C₂⁴	C₂³×D₆₁	1	1	yes	characteristic
1012	C₂×Q₈	—	2	2	no	—
1013	C₂×Q₈	—	4	1	no	—
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×Q₈	—	122	2	no	—
1016	C₂×Q₈	—	244	1	no	—
1017	C₂×Q₈	—	244	1	no	—
1018	C₂×Q₈	—	244	1	no	—
1019	C₂×Q₈	—	244	1	no	—
1020	C₂×Q₈	—	244	1	no	—
1021	C₂×D₄	—	122	2	no	—
1022	C₂×D₄	—	244	1	no	—
1023	C₂×D₄	—	244	1	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	4	1	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	4	1	no	—
1030	C₂²×C₄	—	4	1	no	—
1031	C₂²×C₄	—	4	1	no	—
1032	C₂²×C₄	—	61	1	no	—
1033	C₂²×C₄	—	61	1	no	—
1034	C₂²×C₄	—	61	1	no	—
1035	C₂²×C₄	—	61	1	no	—
1036	C₂²×C₄	—	61	1	no	—
1037	C₂²×C₄	—	61	1	no	—
1038	C₂²×C₄	—	61	1	no	—
1039	C₂²×C₄	—	61	1	no	—
1040	C₂²×C₄	—	61	1	no	—
1041	C₂²×C₄	—	61	1	no	—
1042	C₂²×C₄	—	61	1	no	—
1043	C₂²×C₄	—	61	1	no	—
1044	C₂²×C₄	—	61	1	no	—
1045	C₂²×C₄	—	61	1	no	—
1046	C₂²×C₄	—	61	1	no	—
1047	C₂²×C₄	—	122	2	no	—
1048	C₂²×C₄	—	122	2	no	—
1049	C₂²×C₄	—	122	2	no	—
1050	C₂²×C₄	#11758222	1	4	yes	—
1051	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	122	2	no	—
1075	C₄⋊C₄	—	122	2	no	—
1076	C₄⋊C₄	—	122	2	no	—
1077	C₄⋊C₄	—	122	2	no	—
1078	C₄⋊C₄	—	122	2	no	—
1079	C₄⋊C₄	—	244	1	no	—
1080	C₄⋊C₄	—	244	1	no	—
1081	C₄⋊C₄	—	244	1	no	—
1082	C₄⋊C₄	—	244	1	no	—
1083	C₄⋊C₄	—	244	1	no	—
1084	C₄⋊C₄	—	244	1	no	—
1085	C₄⋊C₄	—	244	1	no	—
1086	C₄⋊C₄	—	244	1	no	—
1087	C₄⋊C₄	—	244	1	no	—
1088	C₄⋊C₄	—	244	1	no	—
1089	C₄⋊C₄	—	244	1	no	—
1090	C₄⋊C₄	—	244	1	no	—
1091	C₄⋊C₄	—	244	1	no	—
1092	C₄⋊C₄	—	244	1	no	—
1093	C₄⋊C₄	—	244	1	no	—
1094	C₄⋊C₄	—	244	1	no	—
1095	C₄⋊C₄	—	244	1	no	—
1096	C₄⋊C₄	—	244	1	no	—
1097	C₄⋊C₄	—	244	1	no	—
1098	C₄⋊C₄	—	244	1	no	—
1099	C₄⋊C₄	—	244	1	no	—
1100	C₄⋊C₄	—	244	1	no	—
1101	C₄⋊C₄	—	244	1	no	—
1102	C₄⋊C₄	—	244	1	no	—
1103	C₄⋊C₄	—	244	1	no	—
1104	C₄⋊C₄	—	244	1	no	—
1105	C₄⋊C₄	—	244	1	no	—
1106	C₄⋊C₄	—	244	1	no	—
1107	C₄⋊C₄	—	244	1	no	—
1108	C₄⋊C₄	—	244	1	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	2	no	—
1111	C₂²⋊C₄	—	4	1	no	—
1112	C₂²⋊C₄	—	4	1	no	—
1113	C₂²⋊C₄	—	122	2	no	—
1114	C₂²⋊C₄	—	122	2	no	—
1115	C₂²⋊C₄	—	122	2	no	—
1116	C₂²⋊C₄	—	122	2	no	—
1117	C₂²⋊C₄	—	122	2	no	—
1118	C₂²⋊C₄	—	244	1	no	—
1119	C₂²⋊C₄	—	244	1	no	—
1120	C₂²⋊C₄	—	244	1	no	—
1121	C₂²⋊C₄	—	244	1	no	—
1122	C₂²⋊C₄	—	244	1	no	—
1123	C₂²⋊C₄	—	244	1	no	—
1124	C₂²⋊C₄	—	244	1	no	—
1125	C₂²⋊C₄	—	244	1	no	—
1126	C₂²⋊C₄	—	244	1	no	—
1127	C₂²⋊C₄	—	244	1	no	—
1128	C₂²⋊C₄	—	244	1	no	—
1129	C₂²⋊C₄	—	244	1	no	—
1130	C₂²⋊C₄	—	244	1	no	—
1131	C₂²⋊C₄	—	244	1	no	—
1132	C₂²⋊C₄	—	244	1	no	—
1133	C₄²	—	2	2	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	2	no	—
1136	C₄²	—	2	2	no	—
1137	C₄²	—	2	2	no	—
1138	C₄²	—	2	2	no	—
1139	C₄²	—	4	1	no	—
1140	C₄²	—	4	1	no	—
1141	C₄²	—	122	2	no	—
1142	C₄²	—	122	2	no	—
1143	C₄²	—	122	2	no	—
1144	C₄²	—	122	2	no	—
1145	C₄²	—	122	2	no	—
1146	C₄²	—	122	2	no	—
1147	C₄²	—	122	2	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	122	1	no	—
1155	C₂³	—	122	1	no	—
1156	C₂³	—	122	1	no	—
1157	C₂³	—	122	1	no	—
1158	C₂³	—	122	1	no	—
1159	C₂³	—	122	1	no	—
1160	C₂³	—	122	1	no	—
1161	C₂³	C₂×#11758222	1	2	yes	—
1162	C₂³	C₂⁴×D₆₁	1	1	yes	characteristic
1163	Q₈	—	4	4	no	—
1164	Q₈	—	244	4	no	—
1165	Q₈	—	244	4	no	—
1166	D₄	—	244	4	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	4	4	no	—
1205	C₂×C₄	—	4	4	no	—
1206	C₂×C₄	—	4	4	no	—
1207	C₂×C₄	—	122	1	no	—
1208	C₂×C₄	—	122	1	no	—
1209	C₂×C₄	—	122	1	no	—
1210	C₂×C₄	—	122	1	no	—
1211	C₂×C₄	—	122	1	no	—
1212	C₂×C₄	—	122	1	no	—
1213	C₂×C₄	—	122	1	no	—
1214	C₂×C₄	—	122	1	no	—
1215	C₂×C₄	—	122	1	no	—
1216	C₂×C₄	—	122	1	no	—
1217	C₂×C₄	—	122	1	no	—
1218	C₂×C₄	—	122	1	no	—
1219	C₂×C₄	—	122	1	no	—
1220	C₂×C₄	—	122	1	no	—
1221	C₂×C₄	—	122	1	no	—
1222	C₂×C₄	—	122	1	no	—
1223	C₂×C₄	—	122	1	no	—
1224	C₂×C₄	—	122	1	no	—
1225	C₂×C₄	—	122	1	no	—
1226	C₂×C₄	—	122	1	no	—
1227	C₂×C₄	—	122	1	no	—
1228	C₂×C₄	—	122	1	no	—
1229	C₂×C₄	—	122	1	no	—
1230	C₂×C₄	—	122	1	no	—
1231	C₂×C₄	—	122	1	no	—
1232	C₂×C₄	—	122	1	no	—
1233	C₂×C₄	—	122	1	no	—
1234	C₂×C₄	—	122	1	no	—
1235	C₂×C₄	—	122	1	no	—
1236	C₂×C₄	—	122	1	no	—
1237	C₂×C₄	—	122	1	no	—
1238	C₂×C₄	—	122	1	no	—
1239	C₂×C₄	—	122	1	no	—
1240	C₂×C₄	—	122	1	no	—
1241	C₂×C₄	—	122	1	no	—
1242	C₂×C₄	—	122	1	no	—
1243	C₂×C₄	—	122	1	no	—
1244	C₂×C₄	—	122	1	no	—
1245	C₂×C₄	—	122	1	no	—
1246	C₂×C₄	—	122	1	no	—
1247	C₂×C₄	—	122	1	no	—
1248	C₂×C₄	—	122	1	no	—
1249	C₂×C₄	—	122	1	no	—
1250	C₂×C₄	—	122	1	no	—
1251	C₂×C₄	—	122	1	no	—
1252	C₂×C₄	—	244	4	no	—
1253	C₂×C₄	C₂×#11758222	1	2	yes	—
1254	C₂×C₄	C₂×#11758222	1	2	yes	—
1255	C₂×C₄	#14519822	1	2	yes	—
1256	C₂×C₄	#14519824	1	2	yes	—
1257	C₂×C₄	#14519825	1	2	yes	—
1258	C₂²	—	2	2	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	4	1	no	—
1262	C₂²	—	4	1	no	—
1263	C₂²	—	4	1	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	244	1	no	—
1266	C₂²	—	244	1	no	—
1267	C₂²	—	244	1	no	—
1268	C₂²	—	244	1	no	—
1269	C₂²	—	244	1	no	—
1270	C₂²	—	244	1	no	—
1271	C₂²	—	244	1	no	—
1272	C₂²	C₂²×#11758222	1	1	yes	characteristic
1273	C₂²	C₂×#14519822	1	1	yes	characteristic
1274	C₂²	C₂×#14519824	1	1	yes	characteristic
1275	C₂²	C₂×#14519825	1	1	yes	characteristic
1276	C₂²	#16840598	1	1	yes	characteristic
1277	C₂²	#16840598	1	1	yes	characteristic
1278	C₂²	#16840598	1	1	yes	characteristic
1279	C₄	—	2	2	no	—
1280	C₄	—	2	2	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	244	1	no	—
1293	C₄	—	244	1	no	—
1294	C₄	—	244	1	no	—
1295	C₄	—	244	1	no	—
1296	C₄	—	244	1	no	—
1297	C₄	—	244	1	no	—
1298	C₄	—	244	1	no	—
1299	C₄	—	244	1	no	—
1300	C₄	—	244	1	no	—
1301	C₄	—	244	1	no	—
1302	C₄	—	244	1	no	—
1303	C₄	—	244	1	no	—
1304	C₄	—	244	1	no	—
1305	C₄	—	244	1	no	—
1306	C₄	—	244	1	no	—
1307	C₄	#16840513	1	4	yes	—
1308	C₂	—	4	2	no	—
1309	C₂	—	488	1	no	—
1310	C₂	#21459228	1	1	yes	characteristic
1311	C₂	#21459246	1	1	yes	characteristic
1312	C₂	#21459252	1	1	yes	characteristic
1313	C₂	C₂×#16840513	1	1	yes	characteristic
1314	C₂	#21459957	1	1	yes	characteristic
1315	C₂	#21459964	1	1	yes	characteristic
1316	C₂	#21459966	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	#36679
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. #21454074	C₂	semidirect
2. #21454059	C₂	semidirect
3. #21454057	C₂	semidirect
4. #21454044	C₂	semidirect
5. #21454042	C₂	semidirect
6. #21454007	C₂	semidirect
7. #21454002	C₂	semidirect
8. #21453995	C₂	semidirect
9. #21453993	C₂	semidirect
10. #21453973	C₂	semidirect
11. #21453971	C₂	semidirect
14. #21453854	C₂	semidirect
17. #21449127	C₂	semidirect
18. #21449126	C₂	semidirect
19. #21449120	C₂	semidirect
20. #21449120	C₂	semidirect
21. #21449119	C₂	semidirect
22. #21449119	C₂	semidirect
23. #21449113	C₂	semidirect
24. #21449110	C₂	semidirect
26. #21449095	C₂	semidirect
27. #21449089	C₂	semidirect
29. C₄×#14519756	C₂	semidirect
31. C₄×C₂²⋊Q₈×C₆₁	C₂	semidirect
679. C₄×C₂²⋊Q₈	D₆₁	semidirect
845. C₆₁	#36679	semidirect

Maximal subgroups

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

subgroup	index
#21454074	2
#21454059	2
#21454057	2
#21454044	2
#21454042	2
#21454007	2
#21454002	2
#21453995	2
#21453993	2
#21453973	2
#21453971	2
#21453925	2
#21453921	2
#21453854	2
#21453834	2
#21453830	2
#21449127	2
#21449126	2
#21449120	2
#21449119	2
#21449113	2
#21449110	2
#21449106	2
#21449095	2
#21449089	2
#21449080	2
C₄×#14519756	2
C₄×#14519760	2
C₄×C₂²⋊Q₈×C₆₁	2
#36679	61