Subgroups — #29849975

Order 15616.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21450251	C₂	1	1	yes	maximal, characteristic, complemented
2	#21450249	C₂	1	1	yes	maximal, characteristic, complemented
3	#21450240	C₂	1	1	yes	maximal, characteristic, complemented
4	#21450238	C₂	1	1	yes	maximal, characteristic, complemented
5	#21450229	C₂	1	1	yes	maximal, characteristic, complemented
6	#21450227	C₂	1	1	yes	maximal, characteristic, complemented
7	#21450218	C₂	1	1	yes	maximal, characteristic, complemented
8	#21450216	C₂	1	1	yes	maximal, characteristic, complemented
9	#21450211	C₂	1	1	yes	maximal, characteristic, complemented
10	#21450209	C₂	1	1	yes	maximal, characteristic, complemented
11	#21450203	C₂	1	1	yes	maximal, characteristic, complemented
12	#21450201	C₂	1	1	yes	maximal, characteristic, complemented
13	#21450071	C₂	1	1	yes	maximal, characteristic
14	#21450069	C₂	1	1	yes	maximal, characteristic
15	#21450063	C₂	1	1	yes	maximal, characteristic
16	#21450061	C₂	1	1	yes	maximal, characteristic
17	#21449120	C₂	1	1	yes	maximal, characteristic, complemented
18	#21449120	C₂	1	1	yes	maximal, characteristic, complemented
19	#21449119	C₂	1	1	yes	maximal, characteristic, complemented
20	#21449119	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#14519772	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#14519771	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#14519770	C₂	1	1	yes	maximal, characteristic, complemented
24	#21448299	C₂	1	1	yes	maximal, characteristic, complemented
25	#21448299	C₂	1	1	yes	maximal, characteristic, complemented
26	#21448223	C₂	1	1	yes	maximal, characteristic, complemented
27	#21448200	C₂	1	1	yes	maximal, characteristic
28	#21448200	C₂	1	1	yes	maximal, characteristic
29	C₄×#14519734	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₆₁	C₂	1	1	yes	maximal, characteristic
31	C₄×#126×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₆₁	C₂²	1	1	yes	characteristic
33	C₂×#14519772	C₂²	1	1	yes	characteristic
34	C₂×#14519771	C₂²	1	1	yes	characteristic
35	C₂×#14519770	C₂²	1	1	yes	characteristic
36	C₂×#14519734	C₂²	1	1	yes	characteristic
37	C₂×#14519734	C₂²	1	1	yes	characteristic
38	C₂×#14519734	C₂²	1	1	yes	characteristic
39	C₂×#14519734	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
42	C₂×C₄²×D₆₁	C₂²	1	1	yes	characteristic
43	C₂×C₄²×D₆₁	C₂²	1	1	yes	characteristic
44	C₆₁⋊#401	C₂²	1	1	yes	characteristic, complemented
45	C₆₁⋊#401	C₂²	1	1	yes	characteristic, complemented
46	C₆₁⋊#401	C₂²	1	1	yes	characteristic, complemented
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	#16839704	C₂²	1	1	yes	characteristic, complemented
51	#16839704	C₂²	1	1	yes	characteristic, complemented
52	#16839703	C₂²	1	1	yes	characteristic, complemented
53	#16839703	C₂²	1	1	yes	characteristic, complemented
54	#16839702	C₂²	1	1	yes	characteristic, complemented
55	#16839702	C₂²	1	1	yes	characteristic, complemented
56	#16839701	C₂²	1	1	yes	characteristic, complemented
57	#16839701	C₂²	1	1	yes	characteristic, complemented
58	#16839700	C₂²	1	1	yes	characteristic, complemented
59	#16839700	C₂²	1	1	yes	characteristic, complemented
60	#16839691	C₂²	1	1	yes	characteristic
61	#16839691	C₂²	1	1	yes	characteristic
62	#16839690	C₂²	1	1	yes	characteristic
63	#16839690	C₂²	1	1	yes	characteristic
64	#16839690	C₂²	1	1	yes	characteristic
65	#16839690	C₂²	1	1	yes	characteristic
66	#16839689	C₂²	1	1	yes	characteristic
67	#16839689	C₂²	1	1	yes	characteristic
68	#16839688	C₂²	1	1	yes	characteristic
69	#16839688	C₂²	1	1	yes	characteristic
70	#16839687	C₂²	1	1	yes	characteristic
71	#16839687	C₂²	1	1	yes	characteristic
72	#16839685	C₂²	1	1	yes	characteristic
73	#16839685	C₂²	1	1	yes	characteristic
74	#16839684	C₂²	1	1	yes	characteristic
75	#16839684	C₂²	1	1	yes	characteristic
76	#16839659	C₂²	1	1	yes	characteristic, complemented
77	#16839659	C₂²	1	1	yes	characteristic, complemented
78	#16839659	C₂²	1	1	yes	characteristic, complemented
79	#16839659	C₂²	1	1	yes	characteristic, complemented
80	#16839657	C₂²	1	1	yes	characteristic, complemented
81	#16839657	C₂²	1	1	yes	characteristic, complemented
82	#16839657	C₂²	1	1	yes	characteristic, complemented
83	#16839657	C₂²	1	1	yes	characteristic, complemented
84	#16839656	C₂²	1	1	yes	characteristic
85	#16839655	C₂²	1	1	yes	characteristic
86	#16839654	C₂²	1	1	yes	characteristic
87	#16839653	C₂²	1	1	yes	characteristic
88	#16839653	C₂²	1	1	yes	characteristic
89	#16839653	C₂²	1	1	yes	characteristic
90	#16839652	C₂²	1	1	yes	characteristic
91	#16839651	C₂²	1	1	yes	characteristic
92	#16839650	C₂²	1	1	yes	characteristic
93	#16839649	C₂²	1	1	yes	characteristic, complemented
94	#16839648	C₂²	1	1	yes	characteristic, complemented
95	#16839647	C₂²	1	1	yes	characteristic, complemented
96	#16839646	C₂²	1	1	yes	characteristic, complemented
97	#16839646	C₂²	1	1	yes	characteristic, complemented
98	#16839646	C₂²	1	1	yes	characteristic, complemented
99	#16839645	C₂²	1	1	yes	characteristic, complemented
100	#16839644	C₂²	1	1	yes	characteristic, complemented
101	#16839643	C₂²	1	1	yes	characteristic, complemented
102	#16839636	C₂²	1	1	yes	characteristic
103	#16839636	C₂²	1	1	yes	characteristic
104	#16839636	C₂²	1	1	yes	characteristic
105	#16839636	C₂²	1	1	yes	characteristic
106	#16839633	C₂²	1	1	yes	characteristic
107	#16839633	C₂²	1	1	yes	characteristic
108	#16839633	C₂²	1	1	yes	characteristic
109	#16839633	C₂²	1	1	yes	characteristic
110	#16839631	C₂²	1	1	yes	characteristic, complemented
111	#16839631	C₂²	1	1	yes	characteristic, complemented
112	#16839630	C₂²	1	1	yes	characteristic, complemented
113	#16839629	C₂²	1	1	yes	characteristic, complemented
114	#16839629	C₂²	1	1	yes	characteristic, complemented
115	#16839626	C₂²	1	1	yes	characteristic, complemented
116	#16839626	C₂²	1	1	yes	characteristic, complemented
117	#16839624	C₂²	1	1	yes	characteristic
118	#16839624	C₂²	1	1	yes	characteristic
119	#16839624	C₂²	1	1	yes	characteristic
120	#16839624	C₂²	1	1	yes	characteristic
121	#16839621	C₂²	1	1	yes	characteristic
122	#16839621	C₂²	1	1	yes	characteristic
123	#16839621	C₂²	1	1	yes	characteristic
124	#16839621	C₂²	1	1	yes	characteristic
125	#16839621	C₂²	1	1	yes	characteristic
126	#16839621	C₂²	1	1	yes	characteristic
127	#16839620	C₂²	1	1	yes	characteristic
128	#16839620	C₂²	1	1	yes	characteristic
129	#16839620	C₂²	1	1	yes	characteristic
130	#16839620	C₂²	1	1	yes	characteristic
131	#16839619	C₂²	1	1	yes	characteristic
132	#16839619	C₂²	1	1	yes	characteristic
133	#16839617	C₂²	1	1	yes	characteristic
134	#16839617	C₂²	1	1	yes	characteristic
135	#16839617	C₂²	1	1	yes	characteristic
136	#16839617	C₂²	1	1	yes	characteristic
137	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
138	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
139	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
140	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
141	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
142	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
143	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
144	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
145	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
146	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
147	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic, complemented
150	C₂²⋊C₄×Dic₆₁	C₂²	1	1	yes	characteristic
151	C₂²⋊C₄×Dic₆₁	C₂²	1	1	yes	characteristic
152	C₄×#11758198	C₂²	1	1	yes	characteristic
153	C₄×#11758198	C₂²	1	1	yes	characteristic
154	C₄×#11758198	C₂²	1	1	yes	characteristic
155	C₄×#11758198	C₂²	1	1	yes	characteristic
156	C₄×#11758198	C₂²	1	1	yes	characteristic
157	C₄×#11758198	C₂²	1	1	yes	characteristic
158	C₄×#11758198	C₂²	1	1	yes	characteristic
159	C₄×#11758198	C₂²	1	1	yes	characteristic
160	C₄×#11758198	C₂²	1	1	yes	characteristic
161	C₄×#11758198	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
165	#16839609	C₂²	1	1	yes	characteristic
166	#16839609	C₂²	1	1	yes	characteristic
167	#16839608	C₂²	1	1	yes	characteristic, complemented
168	#16839608	C₂²	1	1	yes	characteristic, complemented
169	#95×D₆₁	C₂²	1	1	yes	characteristic
170	#95×D₆₁	C₂²	1	1	yes	characteristic
171	C₄²×Dic₆₁	C₂²	1	1	yes	characteristic, complemented
172	C₂×#126×C₆₁	C₂²	1	1	yes	characteristic
173	C₆₁×#388	C₂²	1	1	yes	characteristic
174	C₆₁×#388	C₂²	1	1	yes	characteristic
175	C₆₁×#388	C₂²	1	1	yes	characteristic
176	C₆₁×#387	C₂²	1	1	yes	characteristic, complemented
177	C₆₁×#387	C₂²	1	1	yes	characteristic, complemented
178	C₆₁×#387	C₂²	1	1	yes	characteristic, complemented
179	C₆₁×#383	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
186	C₄³×C₆₁	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₆₁	C₂³	1	1	yes	characteristic
188	C₂³×Dic₆₁	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₆₁	—	2	4	no	—
190	C₂²×C₄×D₆₁	—	2	4	no	—
191	C₂²×C₄×D₆₁	—	2	4	no	—
192	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
200	#14519772	—	2	4	no	—
201	#14519771	—	2	4	no	—
202	#14519770	—	2	4	no	—
203	#14519734	—	2	4	no	—
204	#14519734	—	2	4	no	—
205	#14519734	—	2	4	no	—
206	#14519734	—	2	4	no	—
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×#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×#11758196	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×#11758198	C₂³	1	1	yes	characteristic
253	C₂×#11758198	C₂³	1	1	yes	characteristic
254	C₂×#11758198	C₂³	1	1	yes	characteristic
255	C₂×#11758198	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	C₂²⋊C₄×D₆₁	—	2	4	no	—
260	C₂²⋊C₄×D₆₁	—	2	4	no	—
261	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₆₁	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	C₄²×D₆₁	—	2	4	no	—
276	C₄²×D₆₁	—	2	4	no	—
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	#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	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
322	#126×C₆₁	—	2	4	no	—
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×C₄⋊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×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×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	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
344	C₂×C₄²×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	#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	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
358	C₂³×D₆₁	—	2	2	no	—
359	C₂³×D₆₁	—	2	2	no	—
360	C₂³×D₆₁	—	2	2	no	—
361	C₂³×D₆₁	—	2	2	no	—
362	C₂³×D₆₁	—	2	2	no	—
363	C₂³×D₆₁	—	4	1	no	—
364	C₂³×D₆₁	—	4	1	no	—
365	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
366	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
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	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	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×Dic₆₁	—	2	2	no	—
385	C₂²×Dic₆₁	—	2	2	no	—
386	C₂²×Dic₆₁	—	2	2	no	—
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	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	C₂×C₄×D₆₁	—	2	2	no	—
402	C₂×C₄×D₆₁	—	2	2	no	—
403	C₂×C₄×D₆₁	—	2	2	no	—
404	C₂×C₄×D₆₁	—	2	2	no	—
405	C₂×C₄×D₆₁	—	2	2	no	—
406	C₂×C₄×D₆₁	—	2	2	no	—
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	—	2	2	no	—
413	C₂×C₄×D₆₁	—	2	2	no	—
414	C₂×C₄×D₆₁	—	2	2	no	—
415	C₂×C₄×D₆₁	—	2	2	no	—
416	C₂×C₄×D₆₁	—	2	2	no	—
417	C₂×C₄×D₆₁	—	2	2	no	—
418	C₂×C₄×D₆₁	—	4	1	no	—
419	C₂×C₄×D₆₁	—	4	1	no	—
420	C₂×C₄×D₆₁	—	4	1	no	—
421	C₂×C₄×D₆₁	—	4	1	no	—
422	C₂×C₄×D₆₁	—	4	16	no	—
423	C₂×C₄×D₆₁	#41	1	4	yes	—
424	C₂×C₄×D₆₁	#41	1	4	yes	—
425	C₂×C₄×D₆₁	#41	1	4	yes	—
426	C₄⋊C₄×C₆₁	—	2	2	no	—
427	C₄⋊C₄×C₆₁	—	2	2	no	—
428	C₄⋊C₄×C₆₁	—	2	2	no	—
429	C₄⋊C₄×C₆₁	—	2	2	no	—
430	C₄⋊C₄×C₆₁	—	4	1	no	—
431	C₄⋊C₄×C₆₁	—	4	1	no	—
432	C₂²⋊C₄×C₆₁	—	2	2	no	—
433	C₂²⋊C₄×C₆₁	—	2	2	no	—
434	C₂²⋊C₄×C₆₁	—	2	2	no	—
435	C₂²⋊C₄×C₆₁	—	4	1	no	—
436	C₂²⋊C₄×C₆₁	—	4	1	no	—
437	C₂²⋊C₄×C₆₁	#41	1	4	yes	—
438	C₄²×C₆₁	—	2	2	no	—
439	C₄²×C₆₁	—	2	2	no	—
440	C₄²×C₆₁	—	2	2	no	—
441	C₄²×C₆₁	—	2	2	no	—
442	C₄²×C₆₁	—	2	2	no	—
443	C₄²×C₆₁	—	2	2	no	—
444	C₄²×C₆₁	—	2	2	no	—
445	C₄²×C₆₁	—	2	2	no	—
446	C₄²×C₆₁	—	4	1	no	—
447	C₄²×C₆₁	—	4	1	no	—
448	C₂²⋊Dic₆₁	—	2	2	no	—
449	C₂²⋊Dic₆₁	—	2	2	no	—
450	C₂²⋊Dic₆₁	—	2	2	no	—
451	C₂²⋊Dic₆₁	—	2	2	no	—
452	C₂²⋊Dic₆₁	—	4	1	no	—
453	C₂²⋊Dic₆₁	—	4	1	no	—
454	#11758198	—	2	2	no	—
455	#11758198	—	2	2	no	—
456	#11758198	—	2	2	no	—
457	#11758198	—	2	2	no	—
458	#11758198	—	2	2	no	—
459	#11758198	—	2	2	no	—
460	#11758198	—	2	2	no	—
461	#11758198	—	2	2	no	—
462	#11758198	—	2	2	no	—
463	#11758198	—	2	2	no	—
464	#11758198	—	2	2	no	—
465	#11758198	—	2	2	no	—
466	#11758198	—	2	2	no	—
467	#11758198	—	2	2	no	—
468	#11758198	—	2	2	no	—
469	#11758198	—	4	1	no	—
470	#11758198	—	4	1	no	—
471	#11758198	—	4	1	no	—
472	#11758198	—	4	1	no	—
473	#11758198	#41	1	4	yes	—
474	C₄⋊Dic₆₁	—	2	2	no	—
475	C₄⋊Dic₆₁	—	2	2	no	—
476	C₄⋊Dic₆₁	—	4	1	no	—
477	C₄⋊Dic₆₁	—	4	1	no	—
478	C₄⋊Dic₆₁	—	4	1	no	—
479	C₄⋊Dic₆₁	—	4	1	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	—	2	2	no	—
493	#11758196	—	2	2	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	C₄×Dic₆₁	—	2	2	no	—
501	C₄×Dic₆₁	—	2	2	no	—
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	—	4	1	no	—
513	C₄×Dic₆₁	—	4	1	no	—
514	C₂³×C₆₁	—	2	1	no	—
515	C₂³×C₆₁	—	2	1	no	—
516	C₂³×C₆₁	—	2	1	no	—
517	C₂³×C₆₁	—	2	1	no	—
518	C₂³×C₆₁	—	2	1	no	—
519	C₂³×C₆₁	—	2	1	no	—
520	C₂³×C₆₁	C₂×#41	1	2	yes	—
521	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
522	C₂²×D₆₁	—	2	1	no	—
523	C₂²×D₆₁	—	2	1	no	—
524	C₂²×D₆₁	—	2	1	no	—
525	C₂²×D₆₁	—	2	1	no	—
526	C₂²×D₆₁	—	2	8	no	—
527	C₂²×D₆₁	—	2	1	no	—
528	C₂²×D₆₁	—	2	1	no	—
529	C₂²×D₆₁	—	2	1	no	—
530	C₂²×D₆₁	—	2	1	no	—
531	C₂²×D₆₁	—	2	1	no	—
532	C₂²×D₆₁	—	2	1	no	—
533	C₂²×D₆₁	—	4	4	no	—
534	C₂²×D₆₁	—	4	4	no	—
535	C₂²×D₆₁	—	4	4	no	—
536	C₂²×D₆₁	—	4	4	no	—
537	C₂²×D₆₁	—	4	4	no	—
538	C₂²×D₆₁	—	4	4	no	—
539	C₂²×D₆₁	C₂×#41	1	2	yes	—
540	C₂²×D₆₁	C₂×#41	1	2	yes	—
541	C₂²×D₆₁	C₂×#41	1	2	yes	—
542	C₂²×D₆₁	C₂×#41	1	2	yes	—
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	1	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	—	2	1	no	—
574	C₂×C₄×C₆₁	—	2	1	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	—	4	4	no	—
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	C₂×#41	1	2	yes	—
584	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
585	C₂×C₄×C₆₁	C₂×#41	1	2	yes	—
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	—	2	1	no	—
622	C₂×Dic₆₁	—	2	1	no	—
623	C₂×Dic₆₁	—	2	1	no	—
624	C₂×Dic₆₁	—	4	4	no	—
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	C₄×D₆₁	—	4	4	no	—
630	C₄×D₆₁	—	4	4	no	—
631	C₄×D₆₁	—	4	4	no	—
632	C₄×D₆₁	—	4	4	no	—
633	C₄×D₆₁	—	4	4	no	—
634	C₄×D₆₁	—	4	4	no	—
635	C₄×D₆₁	—	4	4	no	—
636	C₄×D₆₁	#126	1	16	yes	complemented
637	#34814	—	61	1	no	maximal, Sylow
638	C₂²×C₆₁	—	2	2	no	—
639	C₂²×C₆₁	—	2	2	no	—
640	C₂²×C₆₁	—	2	2	no	—
641	C₂²×C₆₁	—	4	1	no	—
642	C₂²×C₆₁	—	4	1	no	—
643	C₂²×C₆₁	—	4	1	no	—
644	C₂²×C₆₁	—	4	1	no	—
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	C₂²×#41	1	1	yes	characteristic
649	C₂²×C₆₁	C₂²×#41	1	1	yes	characteristic
650	C₂²×C₆₁	#585	1	1	yes	characteristic
651	C₂²×C₆₁	#585	1	1	yes	characteristic
652	C₂×D₆₁	—	2	2	no	—
653	C₂×D₆₁	—	2	2	no	—
654	C₂×D₆₁	—	2	2	no	—
655	C₂×D₆₁	—	2	2	no	—
656	C₂×D₆₁	—	2	2	no	—
657	C₂×D₆₁	—	2	2	no	—
658	C₂×D₆₁	—	2	2	no	—
659	C₂×D₆₁	—	2	2	no	—
660	C₂×D₆₁	—	2	2	no	—
661	C₂×D₆₁	—	4	16	no	—
662	C₂×D₆₁	—	4	1	no	—
663	C₂×D₆₁	—	4	1	no	—
664	C₂×D₆₁	—	4	1	no	—
665	C₂×D₆₁	—	4	1	no	—
666	C₂×D₆₁	C₂×#126	1	4	yes	—
667	C₄×C₆₁	—	2	2	no	—
668	C₄×C₆₁	—	2	2	no	—
669	C₄×C₆₁	—	2	2	no	—
670	C₄×C₆₁	—	4	1	no	—
671	C₄×C₆₁	—	4	1	no	—
672	C₄×C₆₁	—	4	1	no	—
673	C₄×C₆₁	—	4	1	no	—
674	C₄×C₆₁	—	4	1	no	—
675	C₄×C₆₁	—	4	1	no	—
676	C₄×C₆₁	—	4	1	no	—
677	C₄×C₆₁	—	4	1	no	—
678	C₄×C₆₁	—	4	1	no	—
679	C₄×C₆₁	—	4	1	no	—
680	C₄×C₆₁	C₂×#126	1	4	yes	—
681	Dic₆₁	—	2	2	no	—
682	Dic₆₁	—	4	1	no	—
683	Dic₆₁	—	4	1	no	—
684	Dic₆₁	—	4	1	no	—
685	Dic₆₁	—	4	1	no	—
686	Dic₆₁	—	4	1	no	—
687	Dic₆₁	—	4	1	no	—
688	Dic₆₁	—	4	1	no	—
689	Dic₆₁	—	4	1	no	—
690	Dic₆₁	—	4	1	no	—
691	Dic₆₁	—	4	1	no	—
692	Dic₆₁	—	4	1	no	—
693	Dic₆₁	—	4	1	no	—
694	Dic₆₁	C₂×#126	1	4	yes	—
695	#2497	—	61	1	no	—
696	#2497	—	61	1	no	—
697	#2496	—	61	1	no	—
698	#2496	—	61	1	no	—
699	#2495	—	61	1	no	—
700	#2495	—	61	1	no	—
701	#2494	—	61	1	no	—
702	#2494	—	61	1	no	—
703	#2493	—	61	1	no	—
704	#2493	—	61	1	no	—
705	#2493	—	61	1	no	—
706	#2493	—	61	1	no	—
707	#2480	—	61	1	no	—
708	#2480	—	61	1	no	—
709	#2480	—	61	1	no	—
710	#2480	—	61	1	no	—
711	#2401	—	61	1	no	—
712	#2401	—	61	1	no	—
713	#2401	—	61	1	no	—
714	#2401	—	61	1	no	—
715	C₄×#126	—	61	1	no	—
716	C₄×#126	—	61	1	no	—
717	C₄×#126	—	61	1	no	—
718	C₄×#126	D₆₁	1	1	yes	characteristic, complemented
719	#2296	—	61	1	no	—
720	#2296	—	61	1	no	—
721	#2285	—	61	1	no	—
722	#2280	—	61	1	no	—
723	#2280	—	61	1	no	—
724	C₄×#117	—	61	1	no	—
725	C₂×C₄×C₂²⋊C₄	—	61	1	no	—
726	C₂×C₆₁	—	4	2	no	—
727	C₂×C₆₁	C₂²×#126	1	1	yes	characteristic
728	C₂×C₆₁	#3444	1	1	yes	characteristic
729	C₂×C₆₁	#3455	1	1	yes	characteristic
730	C₂×C₆₁	#3475	1	1	yes	characteristic
731	C₂×C₆₁	#3475	1	1	yes	characteristic
732	C₂×C₆₁	#3475	1	1	yes	characteristic
733	C₂×C₆₁	#3475	1	1	yes	characteristic
734	D₆₁	—	2	4	no	—
735	D₆₁	—	4	2	no	—
736	C₂⁴×C₄	—	61	1	no	—
737	C₂×#126	—	61	1	no	—
738	C₂×#126	—	61	1	no	—
739	C₂×#126	—	61	1	no	—
740	C₂×#126	C₂×D₆₁	1	1	yes	characteristic
741	C₂×#117	—	61	1	no	—
742	C₂×#117	—	61	1	no	—
743	C₂×#117	—	61	1	no	—
744	C₂×#117	—	61	1	no	—
745	C₂²×C₂²⋊C₄	—	61	1	no	—
746	C₂²×C₂²⋊C₄	—	61	1	no	—
747	C₂²×C₄²	—	61	1	no	—
748	C₂²×C₄²	—	61	1	no	—
749	#401	—	61	1	no	—
750	#401	—	61	1	no	—
751	#401	—	61	1	no	—
752	#401	—	61	1	no	—
753	#400	—	61	1	no	—
754	#400	—	61	1	no	—
755	#400	—	61	1	no	—
756	#400	—	61	1	no	—
757	#400	—	61	1	no	—
758	#400	—	61	1	no	—
759	#400	—	61	1	no	—
760	#400	—	61	1	no	—
761	#400	—	61	1	no	—
762	#400	—	61	1	no	—
763	#400	—	61	1	no	—
764	#400	—	61	1	no	—
765	#397	—	61	1	no	—
766	#397	—	61	1	no	—
767	#397	—	61	1	no	—
768	#397	—	61	1	no	—
769	#397	—	61	1	no	—
770	#397	—	61	1	no	—
771	#397	—	61	1	no	—
772	#397	—	61	1	no	—
773	#397	—	61	1	no	—
774	#397	—	61	1	no	—
775	#397	—	61	1	no	—
776	#397	—	61	1	no	—
777	#396	—	61	1	no	—
778	#396	—	61	1	no	—
779	#396	—	61	1	no	—
780	#396	—	61	1	no	—
781	#389	—	61	1	no	—
782	#389	—	61	1	no	—
783	#389	—	61	1	no	—
784	#389	—	61	1	no	—
785	#389	—	61	1	no	—
786	#389	—	61	1	no	—
787	#389	—	61	1	no	—
788	#389	—	61	1	no	—
789	#388	—	61	1	no	—
790	#388	—	61	1	no	—
791	#388	—	61	1	no	—
792	#388	—	61	1	no	—
793	#388	—	61	1	no	—
794	#388	—	61	1	no	—
795	#388	—	61	1	no	—
796	#388	—	61	1	no	—
797	#388	—	61	1	no	—
798	#388	C₂×D₆₁	1	1	yes	characteristic
799	#388	C₂×D₆₁	1	1	yes	characteristic
800	#388	C₂×D₆₁	1	1	yes	characteristic
801	#387	—	61	1	no	—
802	#387	—	61	1	no	—
803	#387	—	61	1	no	—
804	#387	—	61	1	no	—
805	#387	—	61	1	no	—
806	#387	—	61	1	no	—
807	#387	—	61	1	no	—
808	#387	—	61	1	no	—
809	#387	—	61	1	no	—
810	#387	C₂×D₆₁	1	1	yes	characteristic, complemented
811	#387	C₂×D₆₁	1	1	yes	characteristic, complemented
812	#387	C₂×D₆₁	1	1	yes	characteristic, complemented
813	#385	—	61	1	no	—
814	#385	—	61	1	no	—
815	#385	—	61	1	no	—
816	#385	—	61	1	no	—
817	#385	—	61	1	no	—
818	#385	—	61	1	no	—
819	#385	—	61	1	no	—
820	#385	—	61	1	no	—
821	#384	—	61	1	no	—
822	#384	—	61	1	no	—
823	#383	—	61	1	no	—
824	#383	—	61	1	no	—
825	#383	—	61	1	no	—
826	#383	C₂×D₆₁	1	1	yes	characteristic, complemented
827	#382	—	61	1	no	—
828	#382	—	61	1	no	—
829	#381	—	61	1	no	—
830	#381	—	61	1	no	—
831	#381	—	61	1	no	—
832	#381	—	61	1	no	—
833	#380	—	61	1	no	—
834	#380	—	61	1	no	—
835	#380	—	61	1	no	—
836	#380	—	61	1	no	—
837	#380	—	61	1	no	—
838	#380	—	61	1	no	—
839	#380	—	61	1	no	—
840	#380	—	61	1	no	—
841	#380	—	61	1	no	—
842	#380	—	61	1	no	—
843	#380	—	61	1	no	—
844	#380	—	61	1	no	—
845	#379	—	61	1	no	—
846	#379	—	61	1	no	—
847	#379	—	61	1	no	—
848	#379	—	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	C₂×D₆₁	1	1	yes	characteristic, complemented
863	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic, complemented
864	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic, complemented
865	C₄×C₂²⋊C₄	—	61	1	no	—
866	C₄×C₂²⋊C₄	—	61	1	no	—
867	C₄×C₂²⋊C₄	—	61	1	no	—
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	—	61	1	no	—
877	C₄×C₂²⋊C₄	—	61	1	no	—
878	C₄×C₂²⋊C₄	—	61	1	no	—
879	C₄×C₂²⋊C₄	—	61	1	no	—
880	C₄×C₂²⋊C₄	—	61	1	no	—
881	C₄×C₂²⋊C₄	—	61	1	no	—
882	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
883	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
884	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
885	#376	—	61	1	no	—
886	#376	—	61	1	no	—
887	C₂×#95	—	61	1	no	—
888	C₂×#95	—	61	1	no	—
889	C₄³	—	61	1	no	—
890	C₄³	C₂×D₆₁	1	1	yes	characteristic, complemented
891	C₆₁	#34814	1	1	yes	characteristic, complemented, Sylow
892	C₂⁵	—	61	1	no	—
893	C₂³×C₄	—	61	1	no	—
894	C₂³×C₄	—	61	1	no	—
895	C₂³×C₄	—	61	1	no	—
896	C₂³×C₄	—	61	1	no	—
897	C₂³×C₄	—	61	1	no	—
898	C₂³×C₄	—	61	1	no	—
899	C₂³×C₄	—	61	1	no	—
900	C₂³×C₄	—	61	1	no	—
901	C₂³×C₄	—	61	1	no	—
902	C₂³×C₄	—	122	4	no	—
903	C₂³×C₄	—	122	4	no	—
904	C₂³×C₄	—	122	4	no	—
905	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
906	#126	—	2	4	no	—
907	#126	—	122	4	no	—
908	#126	—	122	4	no	—
909	#126	—	122	4	no	—
910	#117	—	122	4	no	—
911	#117	—	122	4	no	—
912	#117	—	122	4	no	—
913	#117	—	122	4	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	C₂²×D₆₁	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	—	61	1	no	—
947	C₂×C₂²⋊C₄	—	61	1	no	—
948	C₂×C₂²⋊C₄	—	61	1	no	—
949	C₂×C₂²⋊C₄	—	61	1	no	—
950	C₂×C₂²⋊C₄	—	61	1	no	—
951	C₂×C₂²⋊C₄	—	61	1	no	—
952	C₂×C₂²⋊C₄	—	61	1	no	—
953	C₂×C₂²⋊C₄	—	61	1	no	—
954	C₂×C₂²⋊C₄	—	61	1	no	—
955	C₂×C₂²⋊C₄	—	61	1	no	—
956	C₂×C₂²⋊C₄	—	61	1	no	—
957	C₂×C₂²⋊C₄	—	61	1	no	—
958	C₂×C₂²⋊C₄	—	61	1	no	—
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	—	122	4	no	—
973	C₂×C₂²⋊C₄	—	122	4	no	—
974	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
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×C₄²	—	61	1	no	—
981	C₂×C₄²	—	61	1	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	—	122	4	no	—
995	C₂×C₄²	—	122	4	no	—
996	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
997	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
998	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
999	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1000	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1001	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1002	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1003	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1004	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1005	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1006	#95	—	61	1	no	—
1007	#95	—	61	1	no	—
1008	#95	—	61	1	no	—
1009	#95	—	61	1	no	—
1010	#95	—	61	1	no	—
1011	#95	—	61	1	no	—
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	—	61	1	no	—
1047	#95	—	61	1	no	—
1048	#95	—	61	1	no	—
1049	#95	—	61	1	no	—
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	#95	C₂²×D₆₁	1	1	yes	characteristic
1057	#95	C₂²×D₆₁	1	1	yes	characteristic
1058	#95	C₂²×D₆₁	1	1	yes	characteristic
1059	#95	C₂²×D₆₁	1	1	yes	characteristic
1060	#95	C₂²×D₆₁	1	1	yes	characteristic
1061	#95	C₂²×D₆₁	1	1	yes	characteristic
1062	C₂⁴	—	61	1	no	—
1063	C₂⁴	—	61	1	no	—
1064	C₂⁴	—	122	2	no	—
1065	C₂⁴	—	122	2	no	—
1066	C₂⁴	—	122	2	no	—
1067	C₂⁴	—	122	2	no	—
1068	C₂⁴	—	122	2	no	—
1069	C₂⁴	—	244	1	no	—
1070	C₂⁴	—	244	1	no	—
1071	C₂⁴	C₂³×D₆₁	1	1	yes	characteristic
1072	C₂²×C₄	—	2	2	no	—
1073	C₂²×C₄	—	2	2	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	61	1	no	—
1076	C₂²×C₄	—	61	4	no	—
1077	C₂²×C₄	—	61	4	no	—
1078	C₂²×C₄	—	61	4	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	1	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	—	122	2	no	—
1093	C₂²×C₄	—	122	2	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	—	122	2	no	—
1100	C₂²×C₄	—	122	2	no	—
1101	C₂²×C₄	—	122	2	no	—
1102	C₂²×C₄	—	122	2	no	—
1103	C₂²×C₄	—	122	2	no	—
1104	C₂²×C₄	—	122	2	no	—
1105	C₂²×C₄	—	122	2	no	—
1106	C₂²×C₄	—	122	2	no	—
1107	C₂²×C₄	—	122	2	no	—
1108	C₂²×C₄	—	122	2	no	—
1109	C₂²×C₄	—	122	2	no	—
1110	C₂²×C₄	—	122	2	no	—
1111	C₂²×C₄	—	122	2	no	—
1112	C₂²×C₄	—	244	1	no	—
1113	C₂²×C₄	—	244	1	no	—
1114	C₂²×C₄	—	244	1	no	—
1115	C₂²×C₄	—	244	1	no	—
1116	C₂²×C₄	—	244	16	no	—
1117	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1131	C₄⋊C₄	—	2	2	no	—
1132	C₄⋊C₄	—	2	2	no	—
1133	C₄⋊C₄	—	2	2	no	—
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	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	C₂²⋊C₄	—	2	2	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	4	1	no	—
1167	C₂²⋊C₄	—	4	1	no	—
1168	C₂²⋊C₄	—	61	4	no	—
1169	C₂²⋊C₄	—	122	2	no	—
1170	C₂²⋊C₄	—	122	2	no	—
1171	C₂²⋊C₄	—	122	2	no	—
1172	C₂²⋊C₄	—	122	2	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	—	122	2	no	—
1184	C₂²⋊C₄	—	122	2	no	—
1185	C₂²⋊C₄	—	122	2	no	—
1186	C₂²⋊C₄	—	122	2	no	—
1187	C₂²⋊C₄	—	122	2	no	—
1188	C₂²⋊C₄	—	244	1	no	—
1189	C₂²⋊C₄	—	244	1	no	—
1190	C₂²⋊C₄	—	244	1	no	—
1191	C₂²⋊C₄	—	244	1	no	—
1192	C₂²⋊C₄	—	244	1	no	—
1193	C₂²⋊C₄	—	244	1	no	—
1194	C₂²⋊C₄	#11758222	1	4	yes	—
1195	C₄²	—	2	2	no	—
1196	C₄²	—	2	2	no	—
1197	C₄²	—	2	2	no	—
1198	C₄²	—	2	2	no	—
1199	C₄²	—	2	2	no	—
1200	C₄²	—	2	2	no	—
1201	C₄²	—	2	2	no	—
1202	C₄²	—	2	2	no	—
1203	C₄²	—	4	1	no	—
1204	C₄²	—	4	1	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	—	122	2	no	—
1214	C₄²	—	122	2	no	—
1215	C₄²	—	122	2	no	—
1216	C₄²	—	122	2	no	—
1217	C₄²	—	244	1	no	—
1218	C₄²	—	244	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	—	2	1	no	—
1225	C₂³	—	61	2	no	—
1226	C₂³	—	61	2	no	—
1227	C₂³	—	61	2	no	—
1228	C₂³	—	61	2	no	—
1229	C₂³	—	122	8	no	—
1230	C₂³	—	122	1	no	—
1231	C₂³	—	122	1	no	—
1232	C₂³	—	122	1	no	—
1233	C₂³	—	122	1	no	—
1234	C₂³	—	122	1	no	—
1235	C₂³	—	122	1	no	—
1236	C₂³	—	122	1	no	—
1237	C₂³	—	122	1	no	—
1238	C₂³	—	122	1	no	—
1239	C₂³	—	122	1	no	—
1240	C₂³	—	244	4	no	—
1241	C₂³	—	244	4	no	—
1242	C₂³	—	244	4	no	—
1243	C₂³	—	244	4	no	—
1244	C₂³	—	244	4	no	—
1245	C₂³	—	244	4	no	—
1246	C₂³	C₂×#11758222	1	2	yes	—
1247	C₂³	C₂⁴×D₆₁	1	1	yes	characteristic
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	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	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	4	4	no	—
1285	C₂×C₄	—	61	2	no	—
1286	C₂×C₄	—	61	2	no	—
1287	C₂×C₄	—	61	2	no	—
1288	C₂×C₄	—	61	16	no	—
1289	C₂×C₄	—	61	2	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	1	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	—	122	1	no	—
1320	C₂×C₄	—	122	1	no	—
1321	C₂×C₄	—	122	1	no	—
1322	C₂×C₄	—	122	1	no	—
1323	C₂×C₄	—	122	1	no	—
1324	C₂×C₄	—	122	1	no	—
1325	C₂×C₄	—	122	1	no	—
1326	C₂×C₄	—	122	1	no	—
1327	C₂×C₄	—	122	1	no	—
1328	C₂×C₄	—	244	4	no	—
1329	C₂×C₄	—	244	4	no	—
1330	C₂×C₄	—	244	4	no	—
1331	C₂×C₄	—	244	4	no	—
1332	C₂×C₄	—	244	4	no	—
1333	C₂×C₄	—	244	4	no	—
1334	C₂×C₄	—	244	4	no	—
1335	C₂×C₄	—	244	4	no	—
1336	C₂×C₄	#41×D₆₁	1	2	yes	—
1337	C₂×C₄	#41×D₆₁	1	2	yes	—
1338	C₂×C₄	#41×D₆₁	1	2	yes	—
1339	C₂×C₄	#41×D₆₁	1	2	yes	—
1340	C₂×C₄	C₂×#11758222	1	2	yes	—
1341	C₂×C₄	C₂×#11758222	1	2	yes	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	61	4	no	—
1350	C₂²	—	122	2	no	—
1351	C₂²	—	122	2	no	—
1352	C₂²	—	122	2	no	—
1353	C₂²	—	122	2	no	—
1354	C₂²	—	122	2	no	—
1355	C₂²	—	122	2	no	—
1356	C₂²	—	122	2	no	—
1357	C₂²	—	122	2	no	—
1358	C₂²	—	122	2	no	—
1359	C₂²	—	244	16	no	—
1360	C₂²	—	244	1	no	—
1361	C₂²	—	244	1	no	—
1362	C₂²	—	244	1	no	—
1363	C₂²	—	244	1	no	—
1364	C₂²	C₂×#41×D₆₁	1	1	yes	characteristic
1365	C₂²	C₂×#41×D₆₁	1	1	yes	characteristic
1366	C₂²	C₂×#41×D₆₁	1	1	yes	characteristic
1367	C₂²	C₂×#41×D₆₁	1	1	yes	characteristic
1368	C₂²	C₂²×#11758222	1	1	yes	characteristic
1369	C₂²	#16840598	1	1	yes	characteristic
1370	C₂²	#16840598	1	1	yes	characteristic
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	2	2	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	61	4	no	—
1385	C₄	—	122	2	no	—
1386	C₄	—	244	1	no	—
1387	C₄	—	244	1	no	—
1388	C₄	—	244	1	no	—
1389	C₄	—	244	1	no	—
1390	C₄	—	244	1	no	—
1391	C₄	—	244	1	no	—
1392	C₄	—	244	1	no	—
1393	C₄	—	244	1	no	—
1394	C₄	—	244	1	no	—
1395	C₄	—	244	1	no	—
1396	C₄	—	244	1	no	—
1397	C₄	—	244	1	no	—
1398	C₄	#126×D₆₁	1	4	yes	—
1399	C₂	—	4	2	no	—
1400	C₂	—	122	4	no	—
1401	C₂	—	244	2	no	—
1402	C₂	C₂×#126×D₆₁	1	1	yes	characteristic
1403	C₂	#21459112	1	1	yes	characteristic
1404	C₂	#21459202	1	1	yes	characteristic
1405	C₂	#21459371	1	1	yes	characteristic
1406	C₂	#21459375	1	1	yes	characteristic
1407	C₂	#21459381	1	1	yes	characteristic
1408	C₂	#21459381	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₆₁
commutator, socle, cosocle	C₂³×C₆₁	C₂⁵
Frattini	C₂³	C₂⁴×D₆₁
Fitting	C₄×#126×C₆₁	C₂
prime radical	C₂⁴×D₆₁	C₂³
hypercenter	C₄×#126	D₆₁
hypocenter	C₆₁	#34814
LCS	G ▷ C₂³×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#126

Complements

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

N	H ≅ G/N	type
1. #21450251	C₂	semidirect
2. #21450249	C₂	semidirect
3. #21450240	C₂	semidirect
4. #21450238	C₂	semidirect
5. #21450229	C₂	semidirect
6. #21450227	C₂	semidirect
7. #21450218	C₂	semidirect
8. #21450216	C₂	semidirect
9. #21450211	C₂	semidirect
10. #21450209	C₂	semidirect
11. #21450203	C₂	semidirect
12. #21450201	C₂	semidirect
17. #21449120	C₂	semidirect
18. #21449120	C₂	semidirect
19. #21449119	C₂	semidirect
20. #21449119	C₂	semidirect
21. C₄×#14519772	C₂	semidirect
22. C₄×#14519771	C₂	semidirect
23. C₄×#14519770	C₂	semidirect
24. #21448299	C₂	semidirect
25. #21448299	C₂	semidirect
26. #21448223	C₂	semidirect
29. C₄×#14519734	C₂	semidirect
31. C₄×#126×C₆₁	C₂	semidirect
44. C₆₁⋊#401	C₂²	semidirect
45. C₆₁⋊#401	C₂²	semidirect
46. C₆₁⋊#401	C₂²	semidirect
47. C₆₁⋊#401	C₂²	semidirect
48. #16839704	C₂²	semidirect
49. #16839704	C₂²	semidirect
50. #16839704	C₂²	semidirect
51. #16839704	C₂²	semidirect
52. #16839703	C₂²	semidirect
53. #16839703	C₂²	semidirect
54. #16839702	C₂²	semidirect
55. #16839702	C₂²	semidirect
56. #16839701	C₂²	semidirect
57. #16839701	C₂²	semidirect
58. #16839700	C₂²	semidirect
59. #16839700	C₂²	semidirect
76. #16839659	C₂²	semidirect
77. #16839659	C₂²	semidirect
78. #16839659	C₂²	semidirect
79. #16839659	C₂²	semidirect
80. #16839657	C₂²	semidirect
81. #16839657	C₂²	semidirect
82. #16839657	C₂²	semidirect
83. #16839657	C₂²	semidirect
93. #16839649	C₂²	semidirect
94. #16839648	C₂²	semidirect
95. #16839647	C₂²	semidirect
96. #16839646	C₂²	semidirect
97. #16839646	C₂²	semidirect
98. #16839646	C₂²	semidirect
99. #16839645	C₂²	semidirect
100. #16839644	C₂²	semidirect
101. #16839643	C₂²	semidirect
110. #16839631	C₂²	semidirect
111. #16839631	C₂²	semidirect
112. #16839630	C₂²	semidirect
113. #16839629	C₂²	semidirect
114. #16839629	C₂²	semidirect
115. #16839626	C₂²	semidirect
116. #16839626	C₂²	semidirect
137. C₄×#11758196	C₂²	semidirect
138. C₄×#11758196	C₂²	semidirect
139. C₄×#11758196	C₂²	semidirect
140. C₄×#11758196	C₂²	semidirect
141. C₄×#11758196	C₂²	semidirect
142. C₄×#11758196	C₂²	semidirect
143. C₄×#11758196	C₂²	semidirect
144. C₄×#11758196	C₂²	semidirect
145. C₄×#11758196	C₂²	semidirect
146. C₄×#11758196	C₂²	semidirect
147. C₄×C₄⋊Dic₆₁	C₂²	semidirect
148. C₄×C₄⋊Dic₆₁	C₂²	semidirect
149. C₄×C₄⋊Dic₆₁	C₂²	semidirect
167. #16839608	C₂²	semidirect
168. #16839608	C₂²	semidirect
171. C₄²×Dic₆₁	C₂²	semidirect
176. C₆₁×#387	C₂²	semidirect
177. C₆₁×#387	C₂²	semidirect
178. C₆₁×#387	C₂²	semidirect
179. C₆₁×#383	C₂²	semidirect
180. C₄×C₄⋊C₄×C₆₁	C₂²	semidirect
181. C₄×C₄⋊C₄×C₆₁	C₂²	semidirect
182. C₄×C₄⋊C₄×C₆₁	C₂²	semidirect
186. C₄³×C₆₁	C₂²	semidirect
636. C₄×D₆₁	#126	semidirect
718. C₄×#126	D₆₁	semidirect
810. #387	C₂×D₆₁	semidirect
811. #387	C₂×D₆₁	semidirect
812. #387	C₂×D₆₁	semidirect
826. #383	C₂×D₆₁	semidirect
862. C₄×C₄⋊C₄	C₂×D₆₁	semidirect
863. C₄×C₄⋊C₄	C₂×D₆₁	semidirect
864. C₄×C₄⋊C₄	C₂×D₆₁	semidirect
890. C₄³	C₂×D₆₁	semidirect
891. C₆₁	#34814	semidirect

Maximal subgroups

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

subgroup	index
#21450251	2
#21450249	2
#21450240	2
#21450238	2
#21450229	2
#21450227	2
#21450218	2
#21450216	2
#21450211	2
#21450209	2
#21450203	2
#21450201	2
#21450071	2
#21450069	2
#21450063	2
#21450061	2
#21449120	2
#21449119	2
C₄×#14519772	2
C₄×#14519771	2
C₄×#14519770	2
#21448299	2
#21448223	2
#21448200	2
C₄×#14519734	2
C₄×C₂²⋊C₄×D₆₁	2
C₄×#126×C₆₁	2
#34814	61