Subgroups — #29845756

Order 15616.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#16840437	C₂	1	1	yes	maximal, characteristic
2	#21448988	C₂	1	1	yes	maximal, characteristic, complemented
3	#21448966	C₂	1	1	yes	maximal, characteristic, complemented
4	#21448966	C₂	1	1	yes	maximal, characteristic, complemented
5	#21448959	C₂	1	1	yes	maximal, characteristic
6	#21448947	C₂	1	1	yes	maximal, characteristic, complemented
7	#21448941	C₂	1	1	yes	maximal, characteristic, complemented
8	#21448848	C₂	1	1	yes	maximal, characteristic, complemented
9	#21448841	C₂	1	1	yes	maximal, characteristic, complemented
10	#21448790	C₂	1	1	yes	maximal, characteristic, complemented
11	#21448788	C₂	1	1	yes	maximal, characteristic, complemented
12	#21448705	C₂	1	1	yes	maximal, characteristic, complemented
13	#21448703	C₂	1	1	yes	maximal, characteristic, complemented
14	#21448666	C₂	1	1	yes	maximal, characteristic, complemented
15	#21448662	C₂	1	1	yes	maximal, characteristic, complemented
16	#21448612	C₂	1	1	yes	maximal, characteristic, complemented
17	#21448603	C₂	1	1	yes	maximal, characteristic, complemented
18	#21448601	C₂	1	1	yes	maximal, characteristic, complemented
19	#21448598	C₂	1	1	yes	maximal, characteristic, complemented
20	#21448571	C₂	1	1	yes	maximal, characteristic, complemented
21	#21448570	C₂	1	1	yes	maximal, characteristic, complemented
22	#21448525	C₂	1	1	yes	maximal, characteristic, complemented
23	#21448479	C₂	1	1	yes	maximal, characteristic
24	#21448425	C₂	1	1	yes	maximal, characteristic, complemented
25	#21448424	C₂	1	1	yes	maximal, characteristic, complemented
26	#21448413	C₂	1	1	yes	maximal, characteristic, complemented
27	#21448413	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#14519759	C₂	1	1	yes	maximal, characteristic, complemented
29	#21448263	C₂	1	1	yes	maximal, characteristic, complemented
30	#21448257	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2373	C₂	1	1	yes	maximal, characteristic, complemented
32	#16840437	C₄	1	16	yes	complemented
33	C₂×#14519770	C₂²	1	1	yes	characteristic
34	C₂×#14519763	C₂²	1	1	yes	characteristic
35	C₂×#14519762	C₂²	1	1	yes	characteristic
36	C₂×#14519762	C₂²	1	1	yes	characteristic
37	C₂×#14519759	C₂²	1	1	yes	characteristic
38	C₂×#14519757	C₂²	1	1	yes	characteristic
39	C₂×#14519755	C₂²	1	1	yes	characteristic
40	C₂×#14519747	C₂²	1	1	yes	characteristic
41	C₂×#14519742	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₂₄₄	C₂²	1	1	yes	characteristic
43	C₂×#14519739	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₂²⋊D₆₁	C₂²	1	1	yes	characteristic
45	C₂×#14519735	C₂²	1	1	yes	characteristic
46	C₂×#14519735	C₂²	1	1	yes	characteristic
47	C₂×#14519734	C₂²	1	1	yes	characteristic
48	C₂×#14519734	C₂²	1	1	yes	characteristic
49	C₂²×#11758198	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
52	C₂×C₄²×D₆₁	C₂²	1	1	yes	characteristic, complemented
53	#16839668	C₂²	1	1	yes	characteristic, complemented
54	#16839666	C₂²	1	1	yes	characteristic, complemented
55	#16839666	C₂²	1	1	yes	characteristic, complemented
56	#16839664	C₂²	1	1	yes	characteristic
57	#16839664	C₂²	1	1	yes	characteristic
58	#16839664	C₂²	1	1	yes	characteristic
59	#16839663	C₂²	1	1	yes	characteristic
60	#16839662	C₂²	1	1	yes	characteristic
61	#16839661	C₂²	1	1	yes	characteristic, complemented
62	#16839661	C₂²	1	1	yes	characteristic, complemented
63	#16839659	C₂²	1	1	yes	characteristic, complemented
64	#16839659	C₂²	1	1	yes	characteristic, complemented
65	#16839659	C₂²	1	1	yes	characteristic, complemented
66	#16839656	C₂²	1	1	yes	characteristic
67	#16839656	C₂²	1	1	yes	characteristic
68	#16839655	C₂²	1	1	yes	characteristic
69	#16839655	C₂²	1	1	yes	characteristic
70	#16839655	C₂²	1	1	yes	characteristic
71	#16839654	C₂²	1	1	yes	characteristic
72	#16839654	C₂²	1	1	yes	characteristic
73	#16839654	C₂²	1	1	yes	characteristic
74	#16839654	C₂²	1	1	yes	characteristic
75	#16839654	C₂²	1	1	yes	characteristic
76	#16839654	C₂²	1	1	yes	characteristic
77	#16839654	C₂²	1	1	yes	characteristic
78	#16839653	C₂²	1	1	yes	characteristic
79	#16839653	C₂²	1	1	yes	characteristic
80	#16839653	C₂²	1	1	yes	characteristic
81	#16839653	C₂²	1	1	yes	characteristic
82	#16839653	C₂²	1	1	yes	characteristic
83	#16839653	C₂²	1	1	yes	characteristic
84	#16839653	C₂²	1	1	yes	characteristic
85	#16839653	C₂²	1	1	yes	characteristic, complemented
86	#16839652	C₂²	1	1	yes	characteristic
87	#16839652	C₂²	1	1	yes	characteristic
88	#16839652	C₂²	1	1	yes	characteristic
89	#16839652	C₂²	1	1	yes	characteristic
90	#16839652	C₂²	1	1	yes	characteristic
91	#16839652	C₂²	1	1	yes	characteristic, complemented
92	#16839652	C₂²	1	1	yes	characteristic, complemented
93	#16839652	C₂²	1	1	yes	characteristic, complemented
94	#16839651	C₂²	1	1	yes	characteristic
95	#16839651	C₂²	1	1	yes	characteristic
96	#16839651	C₂²	1	1	yes	characteristic
97	#16839651	C₂²	1	1	yes	characteristic
98	#16839651	C₂²	1	1	yes	characteristic
99	#16839651	C₂²	1	1	yes	characteristic, complemented
100	#16839651	C₂²	1	1	yes	characteristic, complemented
101	#16839650	C₂²	1	1	yes	characteristic
102	#16839650	C₂²	1	1	yes	characteristic
103	#16839648	C₂²	1	1	yes	characteristic, complemented
104	#16839648	C₂²	1	1	yes	characteristic, complemented
105	#16839648	C₂²	1	1	yes	characteristic, complemented
106	#16839647	C₂²	1	1	yes	characteristic, complemented
107	#16839647	C₂²	1	1	yes	characteristic, complemented
108	#16839647	C₂²	1	1	yes	characteristic, complemented
109	#16839646	C₂²	1	1	yes	characteristic, complemented
110	#16839646	C₂²	1	1	yes	characteristic, complemented
111	#16839646	C₂²	1	1	yes	characteristic, complemented
112	#16839645	C₂²	1	1	yes	characteristic, complemented
113	#16839644	C₂²	1	1	yes	characteristic, complemented
114	#16839644	C₂²	1	1	yes	characteristic, complemented
115	#16839643	C₂²	1	1	yes	characteristic, complemented
116	#16839640	C₂²	1	1	yes	characteristic
117	#16839640	C₂²	1	1	yes	characteristic
118	#16839640	C₂²	1	1	yes	characteristic
119	#16839640	C₂²	1	1	yes	characteristic
120	#16839639	C₂²	1	1	yes	characteristic
121	#16839638	C₂²	1	1	yes	characteristic
122	#16839637	C₂²	1	1	yes	characteristic
123	#16839637	C₂²	1	1	yes	characteristic
124	#16839636	C₂²	1	1	yes	characteristic, complemented
125	#16839636	C₂²	1	1	yes	characteristic, complemented
126	#16839636	C₂²	1	1	yes	characteristic, complemented
127	#16839636	C₂²	1	1	yes	characteristic, complemented
128	#16839635	C₂²	1	1	yes	characteristic
129	#16839634	C₂²	1	1	yes	characteristic
130	#16839633	C₂²	1	1	yes	characteristic, complemented
131	#16839631	C₂²	1	1	yes	characteristic, complemented
132	#16839628	C₂²	1	1	yes	characteristic, complemented
133	#16839627	C₂²	1	1	yes	characteristic, complemented
134	#16839627	C₂²	1	1	yes	characteristic, complemented
135	#16839626	C₂²	1	1	yes	characteristic, complemented
136	#16839624	C₂²	1	1	yes	characteristic
137	#16839624	C₂²	1	1	yes	characteristic
138	#16839624	C₂²	1	1	yes	characteristic, complemented
139	#16839621	C₂²	1	1	yes	characteristic
140	#16839621	C₂²	1	1	yes	characteristic
141	#16839621	C₂²	1	1	yes	characteristic
142	#16839619	C₂²	1	1	yes	characteristic
143	#16839619	C₂²	1	1	yes	characteristic
144	#16839619	C₂²	1	1	yes	characteristic
145	#16839617	C₂²	1	1	yes	characteristic
146	#16839617	C₂²	1	1	yes	characteristic
147	#16839617	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×Dic₆₁	C₂²	1	1	yes	characteristic, complemented
149	C₄⋊C₄×Dic₆₁	C₂²	1	1	yes	characteristic, complemented
150	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
151	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
152	C₄×#11758196	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₄⋊Dic₆₁	C₂²	1	1	yes	characteristic, complemented
157	#16839613	C₂²	1	1	yes	characteristic, complemented
158	#16839613	C₂²	1	1	yes	characteristic, complemented
159	C₂²⋊C₄×Dic₆₁	C₂²	1	1	yes	characteristic
160	C₂²⋊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, complemented
165	C₄×#11758198	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₂²⋊Dic₆₁	C₂²	1	1	yes	characteristic
167	#16839609	C₂²	1	1	yes	characteristic
168	#16839609	C₂²	1	1	yes	characteristic
169	#16839609	C₂²	1	1	yes	characteristic
170	#16839609	C₂²	1	1	yes	characteristic, complemented
171	#16839607	C₂²	1	1	yes	characteristic, complemented
172	#16839607	C₂²	1	1	yes	characteristic, complemented
173	C₂×#126×C₆₁	C₂²	1	1	yes	characteristic
174	C₆₁×#389	C₂²	1	1	yes	characteristic, complemented
175	C₆₁×#388	C₂²	1	1	yes	characteristic
176	C₆₁×#388	C₂²	1	1	yes	characteristic
177	C₆₁×#388	C₂²	1	1	yes	characteristic
178	C₆₁×#387	C₂²	1	1	yes	characteristic, complemented
179	C₆₁×#387	C₂²	1	1	yes	characteristic, complemented
180	C₆₁×#387	C₂²	1	1	yes	characteristic, complemented
181	C₆₁×#385	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₆₁	C₂²	1	1	yes	characteristic
187	C₆₁×#376	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₆₁	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₂₂	C₂³	1	1	yes	characteristic
190	C₂²×D₂₄₄	C₂³	1	1	yes	characteristic
191	C₂²×D₂₄₄	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
193	C₂³×Dic₆₁	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	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
201	#14519770	C₂×C₄	1	8	yes	complemented
202	#14519763	C₂×C₄	1	8	yes	—
203	#14519762	C₂×C₄	1	8	yes	complemented
204	#14519762	C₂×C₄	1	8	yes	complemented
205	#14519759	C₂×C₄	1	8	yes	—
206	#14519757	C₂×C₄	1	8	yes	complemented
207	#14519755	C₂×C₄	1	8	yes	complemented
208	#14519747	C₂×C₄	1	8	yes	—
209	#14519742	—	4	2	no	—
210	C₄×D₂₄₄	C₂×C₄	1	8	yes	complemented
211	#14519739	C₂×C₄	1	8	yes	complemented
212	C₄×C₂²⋊D₆₁	—	4	2	no	—
213	#14519735	—	4	2	no	—
214	#14519735	C₂×C₄	1	8	yes	complemented
215	#14519734	—	4	2	no	—
216	#14519734	C₂×C₄	1	8	yes	complemented
217	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₆₁	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×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
244	C₂×#11758198	—	4	2	no	—
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	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×#11758198	C₂³	1	1	yes	characteristic
268	C₂×#11758198	C₂³	1	1	yes	characteristic
269	C₂×#11758198	C₂³	1	1	yes	characteristic
270	C₂×#11758198	C₂³	1	1	yes	characteristic
271	C₂×#11758198	C₂³	1	1	yes	characteristic
272	C₂×#11758198	C₂³	1	1	yes	characteristic
273	C₂×#11758198	C₂³	1	1	yes	characteristic
274	C₂×#11758198	C₂³	1	1	yes	characteristic
275	C₂×#11758198	C₂³	1	1	yes	characteristic
276	C₂²⋊C₄×D₆₁	C₂×C₄	1	8	yes	complemented
277	C₂²⋊C₄×D₆₁	C₂×C₄	1	8	yes	complemented
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	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
295	C₄²×D₆₁	—	4	2	no	—
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	#14519684	C₂³	1	1	yes	characteristic
324	#14519684	C₂³	1	1	yes	characteristic
325	#14519684	C₂³	1	1	yes	characteristic
326	#14519684	C₂³	1	1	yes	characteristic
327	#14519684	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
329	#126×C₆₁	C₂×C₄	1	8	yes	complemented
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×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×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	C₂×C₄²×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	#95×C₆₁	C₂³	1	1	yes	characteristic
362	#95×C₆₁	C₂³	1	1	yes	characteristic
363	#95×C₆₁	C₂³	1	1	yes	characteristic
364	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
365	C₂³×D₆₁	—	4	1	no	—
366	C₂³×D₆₁	—	4	1	no	—
367	C₂³×D₆₁	—	4	1	no	—
368	C₂³×D₆₁	—	4	1	no	—
369	C₂³×D₆₁	—	4	1	no	—
370	C₂³×D₆₁	—	4	1	no	—
371	C₂³×D₆₁	C₂²×C₄	1	4	yes	—
372	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
373	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
374	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₆₁	—	2	2	no	—
376	C₂²×C₄×C₆₁	—	4	1	no	—
377	C₂²×C₄×C₆₁	—	4	1	no	—
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	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
392	C₂×C₂²⋊D₆₁	—	4	1	no	—
393	C₂×C₂²⋊D₆₁	—	4	1	no	—
394	C₂×C₂²⋊D₆₁	C₂²×C₄	1	4	yes	—
395	C₂²×Dic₆₁	—	4	1	no	—
396	C₂²×Dic₆₁	—	4	1	no	—
397	C₂²×Dic₆₁	—	4	1	no	—
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	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
411	C₂×D₂₄₄	—	4	1	no	—
412	C₂×D₂₄₄	—	4	1	no	—
413	C₂×D₂₄₄	—	4	1	no	—
414	C₂×D₂₄₄	—	4	1	no	—
415	C₂×D₂₄₄	C₂²×C₄	1	4	yes	—
416	C₂×D₂₄₄	C₂²×C₄	1	4	yes	—
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	1	no	—
423	C₂×C₄×D₆₁	—	4	1	no	—
424	C₂×C₄×D₆₁	—	4	1	no	—
425	C₂×C₄×D₆₁	—	4	1	no	—
426	C₂×C₄×D₆₁	—	4	1	no	—
427	C₂×C₄×D₆₁	—	4	1	no	—
428	C₂×C₄×D₆₁	—	4	1	no	—
429	C₂×C₄×D₆₁	—	4	1	no	—
430	C₂×C₄×D₆₁	—	4	1	no	—
431	C₂×C₄×D₆₁	—	4	1	no	—
432	C₂×C₄×D₆₁	—	4	1	no	—
433	C₂×C₄×D₆₁	C₂²×C₄	1	4	yes	—
434	C₂×C₄×D₆₁	C₂²×C₄	1	4	yes	—
435	C₂×C₄×D₆₁	C₂²×C₄	1	4	yes	—
436	C₂×C₄×D₆₁	C₂²×C₄	1	4	yes	—
437	C₂×C₄×D₆₁	C₂²×C₄	1	4	yes	—
438	C₂×Dic₁₂₂	—	4	1	no	—
439	C₂×Dic₁₂₂	—	4	1	no	—
440	C₂×Dic₁₂₂	C₂²×C₄	1	4	yes	—
441	C₄⋊C₄×C₆₁	—	2	2	no	—
442	C₄⋊C₄×C₆₁	—	4	1	no	—
443	C₄⋊C₄×C₆₁	—	4	1	no	—
444	C₄⋊C₄×C₆₁	—	4	1	no	—
445	C₄⋊C₄×C₆₁	—	4	1	no	—
446	C₄⋊C₄×C₆₁	C₂²×C₄	1	4	yes	—
447	C₄⋊C₄×C₆₁	C₂²×C₄	1	4	yes	—
448	C₄⋊C₄×C₆₁	C₂²×C₄	1	4	yes	—
449	C₂²⋊C₄×C₆₁	—	4	1	no	—
450	C₂²⋊C₄×C₆₁	—	4	1	no	—
451	C₂²⋊C₄×C₆₁	—	4	1	no	—
452	C₂²⋊C₄×C₆₁	C₂²×C₄	1	4	yes	—
453	C₂²⋊C₄×C₆₁	C₂²×C₄	1	4	yes	—
454	C₂²⋊C₄×C₆₁	C₂²×C₄	1	4	yes	—
455	C₄²×C₆₁	—	2	2	no	—
456	C₄²×C₆₁	—	4	1	no	—
457	C₄²×C₆₁	—	4	1	no	—
458	C₄²×C₆₁	—	4	1	no	—
459	C₄²×C₆₁	—	4	1	no	—
460	C₄²×C₆₁	—	4	1	no	—
461	C₄²×C₆₁	—	4	1	no	—
462	C₄²×C₆₁	C₂²×C₄	1	4	yes	—
463	C₂²⋊Dic₆₁	—	4	1	no	—
464	C₂²⋊Dic₆₁	—	4	1	no	—
465	C₂²⋊Dic₆₁	—	4	1	no	—
466	C₂²⋊Dic₆₁	C₂²×C₄	1	4	yes	—
467	C₂²⋊Dic₆₁	C₂²×C₄	1	4	yes	—
468	#11758198	—	2	2	no	—
469	#11758198	—	2	2	no	—
470	#11758198	—	4	1	no	—
471	#11758198	—	4	1	no	—
472	#11758198	—	4	1	no	—
473	#11758198	—	4	1	no	—
474	#11758198	—	4	1	no	—
475	#11758198	—	4	1	no	—
476	#11758198	—	4	1	no	—
477	#11758198	—	4	1	no	—
478	#11758198	—	4	1	no	—
479	#11758198	—	4	1	no	—
480	#11758198	—	4	1	no	—
481	#11758198	—	4	1	no	—
482	#11758198	—	4	1	no	—
483	#11758198	—	4	1	no	—
484	#11758198	—	4	1	no	—
485	#11758198	—	4	1	no	—
486	#11758198	—	4	1	no	—
487	#11758198	—	4	1	no	—
488	#11758198	—	4	1	no	—
489	#11758198	—	4	1	no	—
490	#11758198	C₂²×C₄	1	4	yes	—
491	#11758198	C₂²×C₄	1	4	yes	—
492	#11758198	C₂²×C₄	1	4	yes	—
493	#11758198	C₂²×C₄	1	4	yes	—
494	#11758198	C₂²×C₄	1	4	yes	—
495	#11758198	C₂²×C₄	1	4	yes	—
496	#11758198	C₂²×C₄	1	4	yes	—
497	#11758198	C₂²×C₄	1	4	yes	—
498	#11758198	C₂²×C₄	1	4	yes	—
499	C₄⋊Dic₆₁	—	4	1	no	—
500	C₄⋊Dic₆₁	—	4	1	no	—
501	C₄⋊Dic₆₁	—	4	1	no	—
502	C₄⋊Dic₆₁	—	4	1	no	—
503	C₄⋊Dic₆₁	—	4	1	no	—
504	C₄⋊Dic₆₁	—	4	1	no	—
505	C₄⋊Dic₆₁	—	4	1	no	—
506	C₄⋊Dic₆₁	C₂²×C₄	1	4	yes	—
507	C₄⋊Dic₆₁	C₂²×C₄	1	4	yes	—
508	#11758196	—	2	2	no	—
509	#11758196	—	4	1	no	—
510	#11758196	—	4	1	no	—
511	#11758196	—	4	1	no	—
512	#11758196	—	4	1	no	—
513	#11758196	—	4	1	no	—
514	#11758196	—	4	1	no	—
515	#11758196	—	4	1	no	—
516	#11758196	—	4	1	no	—
517	#11758196	—	4	1	no	—
518	#11758196	C₂²×C₄	1	4	yes	—
519	#11758196	C₂²×C₄	1	4	yes	—
520	#11758196	C₂²×C₄	1	4	yes	—
521	C₄×Dic₆₁	—	2	2	no	—
522	C₄×Dic₆₁	—	2	2	no	—
523	C₄×Dic₆₁	—	4	1	no	—
524	C₄×Dic₆₁	—	4	1	no	—
525	C₄×Dic₆₁	—	4	1	no	—
526	C₄×Dic₆₁	—	4	1	no	—
527	C₄×Dic₆₁	—	4	1	no	—
528	C₄×Dic₆₁	—	4	1	no	—
529	C₄×Dic₆₁	—	4	1	no	—
530	C₄×Dic₆₁	—	4	1	no	—
531	C₄×Dic₆₁	—	4	1	no	—
532	C₄×Dic₆₁	—	4	1	no	—
533	C₄×Dic₆₁	—	4	1	no	—
534	C₄×Dic₆₁	—	4	1	no	—
535	C₄×Dic₆₁	—	4	1	no	—
536	C₄×Dic₆₁	C₂²×C₄	1	4	yes	—
537	C₄×Dic₆₁	C₂²×C₄	1	4	yes	—
538	C₂³×C₆₁	—	2	1	no	—
539	C₂³×C₆₁	—	2	1	no	—
540	C₂³×C₆₁	—	2	1	no	—
541	C₂³×C₆₁	—	2	1	no	—
542	C₂³×C₆₁	—	2	1	no	—
543	C₂³×C₆₁	—	2	1	no	—
544	C₂³×C₆₁	C₂³×C₄	1	2	yes	—
545	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
546	C₂²×D₆₁	—	2	1	no	—
547	C₂²×D₆₁	—	2	1	no	—
548	C₂²×D₆₁	—	2	1	no	—
549	C₂²×D₆₁	—	2	1	no	—
550	C₂²×D₆₁	—	2	1	no	—
551	C₂²×D₆₁	—	2	1	no	—
552	C₂²×D₆₁	—	2	1	no	—
553	C₂²×D₆₁	—	2	1	no	—
554	C₂²×D₆₁	—	2	1	no	—
555	C₂²×D₆₁	—	2	1	no	—
556	C₂²×D₆₁	—	2	1	no	—
557	C₂²×D₆₁	—	2	1	no	—
558	C₂²×D₆₁	—	2	1	no	—
559	C₂²×D₆₁	—	2	1	no	—
560	C₂²×D₆₁	—	2	1	no	—
561	C₂²×D₆₁	—	2	1	no	—
562	C₂²×D₆₁	—	2	1	no	—
563	C₂²×D₆₁	—	2	1	no	—
564	C₂²×D₆₁	—	4	4	no	—
565	C₂²×D₆₁	—	4	4	no	—
566	C₂²×D₆₁	—	4	4	no	—
567	C₂²×D₆₁	—	8	2	no	—
568	C₂²×D₆₁	—	8	2	no	—
569	C₂²×D₆₁	—	8	2	no	—
570	C₂²×D₆₁	—	8	2	no	—
571	C₂²×D₆₁	C₂³×C₄	1	2	yes	—
572	C₂²×D₆₁	C₂³×C₄	1	2	yes	—
573	C₂²×D₆₁	C₂³×C₄	1	2	yes	—
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	—	2	1	no	—
580	C₂×C₄×C₆₁	—	2	1	no	—
581	C₂×C₄×C₆₁	—	2	1	no	—
582	C₂×C₄×C₆₁	—	2	1	no	—
583	C₂×C₄×C₆₁	—	2	1	no	—
584	C₂×C₄×C₆₁	—	2	1	no	—
585	C₂×C₄×C₆₁	—	2	1	no	—
586	C₂×C₄×C₆₁	—	2	1	no	—
587	C₂×C₄×C₆₁	—	2	1	no	—
588	C₂×C₄×C₆₁	—	2	1	no	—
589	C₂×C₄×C₆₁	—	2	1	no	—
590	C₂×C₄×C₆₁	—	2	1	no	—
591	C₂×C₄×C₆₁	—	2	1	no	—
592	C₂×C₄×C₆₁	—	2	1	no	—
593	C₂×C₄×C₆₁	—	2	1	no	—
594	C₂×C₄×C₆₁	—	2	1	no	—
595	C₂×C₄×C₆₁	—	2	1	no	—
596	C₂×C₄×C₆₁	—	2	1	no	—
597	C₂×C₄×C₆₁	—	2	1	no	—
598	C₂×C₄×C₆₁	—	2	1	no	—
599	C₂×C₄×C₆₁	—	2	1	no	—
600	C₂×C₄×C₆₁	—	2	1	no	—
601	C₂×C₄×C₆₁	—	2	1	no	—
602	C₂×C₄×C₆₁	—	2	1	no	—
603	C₂×C₄×C₆₁	—	2	1	no	—
604	C₂×C₄×C₆₁	—	2	1	no	—
605	C₂×C₄×C₆₁	—	2	1	no	—
606	C₂×C₄×C₆₁	—	2	1	no	—
607	C₂×C₄×C₆₁	—	2	1	no	—
608	C₂×C₄×C₆₁	—	2	1	no	—
609	C₂×C₄×C₆₁	—	8	2	no	—
610	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
611	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
612	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
613	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
614	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
615	C₂×C₄×C₆₁	C₂³×C₄	1	2	yes	—
616	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
617	C₂²⋊D₆₁	—	4	4	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	—	2	1	no	—
625	C₂×Dic₆₁	—	2	1	no	—
626	C₂×Dic₆₁	—	2	1	no	—
627	C₂×Dic₆₁	—	2	1	no	—
628	C₂×Dic₆₁	—	2	1	no	—
629	C₂×Dic₆₁	—	2	1	no	—
630	C₂×Dic₆₁	—	2	1	no	—
631	C₂×Dic₆₁	—	2	1	no	—
632	C₂×Dic₆₁	—	2	1	no	—
633	C₂×Dic₆₁	—	2	1	no	—
634	C₂×Dic₆₁	—	2	1	no	—
635	C₂×Dic₆₁	—	2	1	no	—
636	C₂×Dic₆₁	—	2	1	no	—
637	C₂×Dic₆₁	—	2	1	no	—
638	C₂×Dic₆₁	—	2	1	no	—
639	C₂×Dic₆₁	—	2	1	no	—
640	C₂×Dic₆₁	—	2	1	no	—
641	C₂×Dic₆₁	—	2	1	no	—
642	C₂×Dic₆₁	—	2	1	no	—
643	C₂×Dic₆₁	—	2	1	no	—
644	C₂×Dic₆₁	—	2	1	no	—
645	C₂×Dic₆₁	—	2	1	no	—
646	C₂×Dic₆₁	—	2	1	no	—
647	C₂×Dic₆₁	—	2	1	no	—
648	C₂×Dic₆₁	—	2	1	no	—
649	C₂×Dic₆₁	—	2	1	no	—
650	C₂×Dic₆₁	—	2	1	no	—
651	C₂×Dic₆₁	—	2	1	no	—
652	C₂×Dic₆₁	—	8	2	no	—
653	C₂×Dic₆₁	C₂³×C₄	1	2	yes	—
654	C₂×Dic₆₁	C₂³×C₄	1	2	yes	—
655	C₂×Dic₆₁	C₂³×C₄	1	2	yes	—
656	C₂×Dic₆₁	C₂³×C₄	1	2	yes	—
657	C₂×Dic₆₁	C₂³×C₄	1	2	yes	—
658	D₂₄₄	—	4	4	no	—
659	D₂₄₄	—	4	4	no	—
660	C₄×D₆₁	—	4	4	no	—
661	C₄×D₆₁	—	4	4	no	—
662	C₄×D₆₁	—	4	4	no	—
663	C₄×D₆₁	—	4	4	no	—
664	C₄×D₆₁	—	4	4	no	—
665	C₄×D₆₁	—	4	4	no	—
666	C₄×D₆₁	—	4	4	no	—
667	Dic₁₂₂	—	4	4	no	—
668	#34508	—	61	1	no	maximal, Sylow
669	C₂²×C₆₁	—	2	2	no	—
670	C₂²×C₆₁	—	2	2	no	—
671	C₂²×C₆₁	—	2	2	no	—
672	C₂²×C₆₁	—	4	1	no	—
673	C₂²×C₆₁	—	4	1	no	—
674	C₂²×C₆₁	—	4	1	no	—
675	C₂²×C₆₁	—	4	1	no	—
676	C₂²×C₆₁	C₂⁴×C₄	1	1	yes	characteristic
677	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
678	C₂²×C₆₁	#585	1	1	yes	characteristic
679	C₂²×C₆₁	#585	1	1	yes	characteristic
680	C₂²×C₆₁	#585	1	1	yes	characteristic
681	C₂²×C₆₁	#585	1	1	yes	characteristic
682	C₂²×C₆₁	#585	1	1	yes	characteristic
683	C₂×D₆₁	—	2	2	no	—
684	C₂×D₆₁	—	2	2	no	—
685	C₂×D₆₁	—	2	2	no	—
686	C₂×D₆₁	—	2	2	no	—
687	C₂×D₆₁	—	2	2	no	—
688	C₂×D₆₁	—	2	2	no	—
689	C₂×D₆₁	—	2	2	no	—
690	C₂×D₆₁	—	2	2	no	—
691	C₂×D₆₁	—	2	2	no	—
692	C₂×D₆₁	—	4	1	no	—
693	C₂×D₆₁	—	4	1	no	—
694	C₂×D₆₁	—	4	1	no	—
695	C₂×D₆₁	—	4	1	no	—
696	C₂×D₆₁	—	4	1	no	—
697	C₂×D₆₁	—	4	1	no	—
698	C₂×D₆₁	—	4	1	no	—
699	C₂×D₆₁	—	4	1	no	—
700	C₂×D₆₁	—	4	1	no	—
701	C₂×D₆₁	—	4	1	no	—
702	C₂×D₆₁	—	4	1	no	—
703	C₂×D₆₁	—	4	1	no	—
704	C₂×D₆₁	—	8	8	no	—
705	C₄×C₆₁	—	2	2	no	—
706	C₄×C₆₁	—	2	2	no	—
707	C₄×C₆₁	—	2	2	no	—
708	C₄×C₆₁	—	2	2	no	—
709	C₄×C₆₁	—	2	2	no	—
710	C₄×C₆₁	—	2	2	no	—
711	C₄×C₆₁	—	2	2	no	—
712	C₄×C₆₁	—	4	1	no	—
713	C₄×C₆₁	—	4	1	no	—
714	C₄×C₆₁	—	4	1	no	—
715	C₄×C₆₁	—	4	1	no	—
716	C₄×C₆₁	—	4	1	no	—
717	C₄×C₆₁	—	4	1	no	—
718	C₄×C₆₁	—	4	1	no	—
719	Dic₆₁	—	2	2	no	—
720	Dic₆₁	—	2	2	no	—
721	Dic₆₁	—	2	2	no	—
722	Dic₆₁	—	2	2	no	—
723	Dic₆₁	—	2	2	no	—
724	Dic₆₁	—	4	1	no	—
725	Dic₆₁	—	4	1	no	—
726	Dic₆₁	—	4	1	no	—
727	Dic₆₁	—	4	1	no	—
728	Dic₆₁	—	4	1	no	—
729	Dic₆₁	—	4	1	no	—
730	Dic₆₁	—	4	1	no	—
731	Dic₆₁	—	4	1	no	—
732	C₂×#551	—	61	1	no	—
733	#2379	—	61	1	no	—
734	#2376	—	61	1	no	—
735	#2376	—	61	1	no	—
736	#2375	—	61	1	no	—
737	#2374	—	61	1	no	—
738	#2373	—	61	1	no	—
739	#2373	D₆₁	1	1	yes	characteristic, complemented
740	#2362	—	61	1	no	—
741	#2362	—	61	1	no	—
742	#2357	—	61	1	no	—
743	#2357	—	61	1	no	—
744	#2346	—	61	1	no	—
745	#2346	—	61	1	no	—
746	#2342	—	61	1	no	—
747	#2342	—	61	1	no	—
748	#2335	—	61	1	no	—
749	#2335	—	61	1	no	—
750	#2334	—	61	1	no	—
751	#2334	—	61	1	no	—
752	#2332	—	61	1	no	—
753	#2332	—	61	1	no	—
754	#2326	—	61	1	no	—
755	#2321	—	61	1	no	—
756	#2314	—	61	1	no	—
757	#2314	—	61	1	no	—
758	#2312	—	61	1	no	—
759	#2312	—	61	1	no	—
760	C₄×#123	—	61	1	no	—
761	#2290	—	61	1	no	—
762	#2290	—	61	1	no	—
763	C₂×C₆₁	—	4	2	no	—
764	C₂×C₆₁	#3428	1	1	yes	characteristic
765	C₂×C₆₁	#3428	1	1	yes	characteristic
766	C₂×C₆₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
767	C₂×C₆₁	#3533	1	1	yes	characteristic
768	C₂×C₆₁	#3540	1	1	yes	characteristic
769	C₂×C₆₁	#3566	1	1	yes	characteristic
770	C₂×C₆₁	#3566	1	1	yes	characteristic
771	D₆₁	—	4	2	no	—
772	D₆₁	—	4	2	no	—
773	D₆₁	—	4	2	no	—
774	#551	—	61	16	no	—
775	C₂×#126	—	61	1	no	—
776	C₂×#126	C₂×D₆₁	1	1	yes	characteristic
777	C₂×#124	—	61	1	no	—
778	C₂×#123	—	61	1	no	—
779	C₂×#123	—	61	1	no	—
780	C₂×#123	—	61	1	no	—
781	C₂×C₂²⋊Q₈	—	61	1	no	—
782	C₂×C₂²⋊Q₈	—	61	1	no	—
783	C₂×#120	—	61	1	no	—
784	C₂×C₄×Q₈	—	61	1	no	—
785	C₂×C₄×D₄	—	61	1	no	—
786	C₂×C₄×D₄	—	61	1	no	—
787	C₂×C₄×D₄	—	61	1	no	—
788	C₂×#117	—	61	1	no	—
789	C₂×#117	—	61	1	no	—
790	C₂×#117	—	61	1	no	—
791	C₂×#117	—	61	1	no	—
792	C₂²×C₂²⋊C₄	—	61	1	no	—
793	C₂²×C₂²⋊C₄	—	61	1	no	—
794	C₂²×C₂²⋊C₄	—	61	1	no	—
795	C₂²×C₄²	—	61	1	no	—
796	#391	—	61	1	no	—
797	#391	—	61	1	no	—
798	#391	—	61	1	no	—
799	#390	—	61	1	no	—
800	#390	—	61	1	no	—
801	#390	—	61	1	no	—
802	#390	—	61	1	no	—
803	#390	—	61	1	no	—
804	#389	—	61	1	no	—
805	#389	—	61	1	no	—
806	#389	—	61	1	no	—
807	#389	—	61	1	no	—
808	#389	—	61	1	no	—
809	#389	C₂×D₆₁	1	1	yes	characteristic, complemented
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	#388	—	61	1	no	—
816	#388	—	61	1	no	—
817	#388	—	61	1	no	—
818	#388	—	61	1	no	—
819	#388	—	61	1	no	—
820	#388	—	61	1	no	—
821	#388	—	61	1	no	—
822	#388	—	61	1	no	—
823	#388	—	61	1	no	—
824	#388	—	61	1	no	—
825	#388	—	61	1	no	—
826	#388	—	61	1	no	—
827	#388	—	61	1	no	—
828	#388	—	61	1	no	—
829	#388	—	61	1	no	—
830	#388	—	61	1	no	—
831	#388	—	61	1	no	—
832	#388	—	61	1	no	—
833	#388	—	61	1	no	—
834	#388	—	61	1	no	—
835	#388	—	61	1	no	—
836	#388	—	61	1	no	—
837	#388	—	61	1	no	—
838	#388	—	61	1	no	—
839	#388	—	61	1	no	—
840	#388	—	61	1	no	—
841	#388	—	61	1	no	—
842	#388	—	61	1	no	—
843	#388	—	61	1	no	—
844	#388	—	61	1	no	—
845	#388	—	61	1	no	—
846	#388	—	61	1	no	—
847	#388	C₂×D₆₁	1	1	yes	characteristic
848	#388	C₂×D₆₁	1	1	yes	characteristic
849	#388	C₂×D₆₁	1	1	yes	characteristic
850	#387	—	61	1	no	—
851	#387	—	61	1	no	—
852	#387	—	61	1	no	—
853	#387	—	61	1	no	—
854	#387	—	61	1	no	—
855	#387	—	61	1	no	—
856	#387	—	61	1	no	—
857	#387	—	61	1	no	—
858	#387	—	61	1	no	—
859	#387	—	61	1	no	—
860	#387	—	61	1	no	—
861	#387	—	61	1	no	—
862	#387	—	61	1	no	—
863	#387	C₂×D₆₁	1	1	yes	characteristic, complemented
864	#387	C₂×D₆₁	1	1	yes	characteristic, complemented
865	#387	C₂×D₆₁	1	1	yes	characteristic, complemented
866	#386	—	61	1	no	—
867	#386	—	61	1	no	—
868	#386	—	61	1	no	—
869	#386	—	61	1	no	—
870	#386	—	61	1	no	—
871	#386	—	61	1	no	—
872	#385	—	61	1	no	—
873	#385	—	61	1	no	—
874	#385	—	61	1	no	—
875	#385	—	61	1	no	—
876	#385	—	61	1	no	—
877	#385	—	61	1	no	—
878	#385	—	61	1	no	—
879	#385	—	61	1	no	—
880	#385	—	61	1	no	—
881	#385	C₂×D₆₁	1	1	yes	characteristic
882	#384	—	61	1	no	—
883	#382	—	61	1	no	—
884	#382	—	61	1	no	—
885	#382	—	61	1	no	—
886	#382	—	61	1	no	—
887	#381	—	61	1	no	—
888	#381	—	61	1	no	—
889	#381	—	61	1	no	—
890	#380	—	61	1	no	—
891	#380	—	61	1	no	—
892	#380	—	61	1	no	—
893	#380	—	61	1	no	—
894	#380	—	61	1	no	—
895	#380	—	61	1	no	—
896	#379	—	61	1	no	—
897	#379	—	61	1	no	—
898	#379	—	61	1	no	—
899	C₄×C₄⋊C₄	—	61	1	no	—
900	C₄×C₄⋊C₄	—	61	1	no	—
901	C₄×C₄⋊C₄	—	61	1	no	—
902	C₄×C₄⋊C₄	—	61	1	no	—
903	C₄×C₄⋊C₄	—	61	1	no	—
904	C₄×C₄⋊C₄	—	61	1	no	—
905	C₄×C₄⋊C₄	—	61	1	no	—
906	C₄×C₄⋊C₄	—	61	1	no	—
907	C₄×C₄⋊C₄	—	61	1	no	—
908	C₄×C₄⋊C₄	—	61	1	no	—
909	C₄×C₄⋊C₄	—	61	1	no	—
910	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic, complemented
911	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic, complemented
912	C₄×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic, complemented
913	C₄×C₂²⋊C₄	—	61	1	no	—
914	C₄×C₂²⋊C₄	—	61	1	no	—
915	C₄×C₂²⋊C₄	—	61	1	no	—
916	C₄×C₂²⋊C₄	—	61	1	no	—
917	C₄×C₂²⋊C₄	—	61	1	no	—
918	C₄×C₂²⋊C₄	—	61	1	no	—
919	C₄×C₂²⋊C₄	—	61	1	no	—
920	C₄×C₂²⋊C₄	—	61	1	no	—
921	C₄×C₂²⋊C₄	—	61	1	no	—
922	C₄×C₂²⋊C₄	—	61	1	no	—
923	C₄×C₂²⋊C₄	—	61	1	no	—
924	C₄×C₂²⋊C₄	—	61	1	no	—
925	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
926	C₄×C₂²⋊C₄	C₂×D₆₁	1	1	yes	characteristic
927	#376	—	61	1	no	—
928	#376	—	61	1	no	—
929	#376	C₂×D₆₁	1	1	yes	characteristic, complemented
930	C₆₁	#34508	1	1	yes	characteristic, complemented, Sylow
931	C₂⁵	—	61	1	no	—
932	C₂²×Q₈	—	61	1	no	—
933	C₂²×D₄	—	61	1	no	—
934	C₂²×D₄	—	61	1	no	—
935	C₂²×D₄	—	61	1	no	—
936	C₂³×C₄	—	61	1	no	—
937	C₂³×C₄	—	61	1	no	—
938	C₂³×C₄	—	61	1	no	—
939	C₂³×C₄	—	61	1	no	—
940	C₂³×C₄	—	61	1	no	—
941	C₂³×C₄	—	61	1	no	—
942	C₂³×C₄	—	61	1	no	—
943	C₂³×C₄	—	61	1	no	—
944	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
945	#126	—	61	8	no	—
946	#126	C₄×D₆₁	1	8	yes	complemented
947	#124	—	61	8	no	—
948	#123	—	61	8	no	—
949	#123	—	61	8	no	—
950	#123	—	61	8	no	—
951	C₂²⋊Q₈	—	61	8	no	—
952	C₂²⋊Q₈	—	61	8	no	—
953	#120	—	61	8	no	—
954	C₄×Q₈	—	244	2	no	—
955	C₄×D₄	—	61	8	no	—
956	C₄×D₄	—	61	8	no	—
957	C₄×D₄	—	244	2	no	—
958	#117	—	61	8	no	—
959	#117	—	61	8	no	—
960	#117	—	244	2	no	—
961	#117	—	244	2	no	—
962	C₂×C₄⋊C₄	—	61	1	no	—
963	C₂×C₄⋊C₄	—	61	1	no	—
964	C₂×C₄⋊C₄	—	61	1	no	—
965	C₂×C₄⋊C₄	—	61	1	no	—
966	C₂×C₄⋊C₄	—	61	1	no	—
967	C₂×C₄⋊C₄	—	61	1	no	—
968	C₂×C₄⋊C₄	—	61	1	no	—
969	C₂×C₄⋊C₄	—	61	1	no	—
970	C₂×C₄⋊C₄	—	61	1	no	—
971	C₂×C₄⋊C₄	—	61	1	no	—
972	C₂×C₄⋊C₄	—	61	1	no	—
973	C₂×C₄⋊C₄	—	61	1	no	—
974	C₂×C₄⋊C₄	—	61	1	no	—
975	C₂×C₄⋊C₄	—	61	1	no	—
976	C₂×C₄⋊C₄	—	61	1	no	—
977	C₂×C₄⋊C₄	—	61	1	no	—
978	C₂×C₄⋊C₄	—	61	1	no	—
979	C₂×C₄⋊C₄	—	61	1	no	—
980	C₂×C₄⋊C₄	—	61	1	no	—
981	C₂×C₄⋊C₄	—	61	1	no	—
982	C₂×C₄⋊C₄	—	61	1	no	—
983	C₂×C₄⋊C₄	—	61	1	no	—
984	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	—	61	1	no	—
993	C₂×C₂²⋊C₄	—	61	1	no	—
994	C₂×C₂²⋊C₄	—	61	1	no	—
995	C₂×C₂²⋊C₄	—	61	1	no	—
996	C₂×C₂²⋊C₄	—	61	1	no	—
997	C₂×C₂²⋊C₄	—	61	1	no	—
998	C₂×C₂²⋊C₄	—	61	1	no	—
999	C₂×C₂²⋊C₄	—	61	1	no	—
1000	C₂×C₂²⋊C₄	—	61	1	no	—
1001	C₂×C₂²⋊C₄	—	61	1	no	—
1002	C₂×C₂²⋊C₄	—	61	1	no	—
1003	C₂×C₂²⋊C₄	—	61	8	no	—
1004	C₂×C₂²⋊C₄	—	61	8	no	—
1005	C₂×C₂²⋊C₄	—	61	1	no	—
1006	C₂×C₂²⋊C₄	—	61	1	no	—
1007	C₂×C₂²⋊C₄	—	61	1	no	—
1008	C₂×C₂²⋊C₄	—	61	1	no	—
1009	C₂×C₂²⋊C₄	—	61	1	no	—
1010	C₂×C₂²⋊C₄	—	61	1	no	—
1011	C₂×C₂²⋊C₄	—	61	1	no	—
1012	C₂×C₂²⋊C₄	—	61	1	no	—
1013	C₂×C₂²⋊C₄	—	61	1	no	—
1014	C₂×C₂²⋊C₄	—	61	1	no	—
1015	C₂×C₂²⋊C₄	—	61	1	no	—
1016	C₂×C₂²⋊C₄	—	61	1	no	—
1017	C₂×C₂²⋊C₄	—	61	1	no	—
1018	C₂×C₂²⋊C₄	—	61	1	no	—
1019	C₂×C₂²⋊C₄	—	61	1	no	—
1020	C₂×C₂²⋊C₄	—	61	1	no	—
1021	C₂×C₂²⋊C₄	—	61	1	no	—
1022	C₂×C₂²⋊C₄	—	61	1	no	—
1023	C₂×C₂²⋊C₄	—	61	1	no	—
1024	C₂×C₂²⋊C₄	—	61	1	no	—
1025	C₂×C₂²⋊C₄	—	61	1	no	—
1026	C₂×C₂²⋊C₄	—	61	1	no	—
1027	C₂×C₂²⋊C₄	—	61	1	no	—
1028	C₂×C₂²⋊C₄	—	61	1	no	—
1029	C₂×C₂²⋊C₄	—	61	1	no	—
1030	C₂×C₂²⋊C₄	—	244	2	no	—
1031	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1037	C₂×C₄²	—	61	1	no	—
1038	C₂×C₄²	—	61	1	no	—
1039	C₂×C₄²	—	61	1	no	—
1040	C₂×C₄²	—	61	1	no	—
1041	C₂×C₄²	—	61	1	no	—
1042	C₂×C₄²	—	61	1	no	—
1043	C₂×C₄²	—	61	1	no	—
1044	C₂×C₄²	—	61	1	no	—
1045	C₂×C₄²	—	61	1	no	—
1046	C₂×C₄²	—	61	1	no	—
1047	C₂×C₄²	—	61	1	no	—
1048	C₂×C₄²	—	61	1	no	—
1049	C₂×C₄²	—	61	1	no	—
1050	C₂×C₄²	—	61	1	no	—
1051	C₂×C₄²	—	61	1	no	—
1052	C₂×C₄²	—	61	1	no	—
1053	C₂×C₄²	—	61	1	no	—
1054	C₂×C₄²	—	244	2	no	—
1055	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1056	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1057	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1058	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1059	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1060	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1061	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1062	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1063	#95	—	61	1	no	—
1064	#95	—	61	1	no	—
1065	#95	—	61	1	no	—
1066	#95	—	61	1	no	—
1067	#95	—	61	1	no	—
1068	#95	—	61	1	no	—
1069	#95	—	61	1	no	—
1070	#95	—	61	1	no	—
1071	#95	—	61	1	no	—
1072	#95	—	61	1	no	—
1073	#95	—	61	1	no	—
1074	#95	—	61	1	no	—
1075	#95	—	61	1	no	—
1076	#95	—	61	1	no	—
1077	#95	—	61	1	no	—
1078	#95	—	61	1	no	—
1079	#95	—	61	1	no	—
1080	#95	—	61	1	no	—
1081	#95	—	61	1	no	—
1082	#95	—	61	1	no	—
1083	#95	—	61	1	no	—
1084	#95	—	61	1	no	—
1085	#95	—	61	1	no	—
1086	#95	—	61	1	no	—
1087	#95	—	61	1	no	—
1088	#95	—	61	1	no	—
1089	#95	—	61	1	no	—
1090	#95	—	61	1	no	—
1091	#95	—	61	1	no	—
1092	#95	—	61	1	no	—
1093	#95	—	61	1	no	—
1094	#95	—	61	1	no	—
1095	#95	C₂²×D₆₁	1	1	yes	characteristic
1096	#95	C₂²×D₆₁	1	1	yes	characteristic
1097	#95	C₂²×D₆₁	1	1	yes	characteristic
1098	#95	C₂²×D₆₁	1	1	yes	characteristic
1099	#95	C₂²×D₆₁	1	1	yes	characteristic
1100	#95	C₂²×D₆₁	1	1	yes	characteristic
1101	#95	C₂²×D₆₁	1	1	yes	characteristic
1102	#95	C₂²×D₆₁	1	1	yes	characteristic
1103	#95	C₂²×D₆₁	1	1	yes	characteristic
1104	#95	C₂²×D₆₁	1	1	yes	characteristic
1105	#95	C₂²×D₆₁	1	1	yes	characteristic
1106	#95	C₂²×D₆₁	1	1	yes	characteristic
1107	C₂⁴	—	61	1	no	—
1108	C₂⁴	—	61	1	no	—
1109	C₂⁴	—	61	1	no	—
1110	C₂⁴	—	61	4	no	—
1111	C₂⁴	—	244	1	no	—
1112	C₂⁴	—	244	1	no	—
1113	C₂⁴	—	244	1	no	—
1114	C₂⁴	—	244	1	no	—
1115	C₂⁴	—	244	1	no	—
1116	C₂⁴	—	244	1	no	—
1117	C₂⁴	C₂³×D₆₁	1	1	yes	characteristic
1118	C₂×Q₈	—	61	4	no	—
1119	C₂×Q₈	—	244	1	no	—
1120	C₂×Q₈	—	244	1	no	—
1121	C₂×D₄	—	61	4	no	—
1122	C₂×D₄	—	61	4	no	—
1123	C₂×D₄	—	61	4	no	—
1124	C₂×D₄	—	244	1	no	—
1125	C₂×D₄	—	244	1	no	—
1126	C₂×D₄	—	244	1	no	—
1127	C₂×D₄	—	244	1	no	—
1128	C₂×D₄	—	244	1	no	—
1129	C₂×D₄	—	244	1	no	—
1130	C₂²×C₄	—	2	2	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	4	1	no	—
1133	C₂²×C₄	—	61	1	no	—
1134	C₂²×C₄	—	61	1	no	—
1135	C₂²×C₄	—	61	1	no	—
1136	C₂²×C₄	—	61	1	no	—
1137	C₂²×C₄	—	61	1	no	—
1138	C₂²×C₄	—	61	4	no	—
1139	C₂²×C₄	—	61	4	no	—
1140	C₂²×C₄	—	61	4	no	—
1141	C₂²×C₄	—	61	4	no	—
1142	C₂²×C₄	—	61	4	no	—
1143	C₂²×C₄	—	61	1	no	—
1144	C₂²×C₄	—	61	1	no	—
1145	C₂²×C₄	—	61	1	no	—
1146	C₂²×C₄	—	61	1	no	—
1147	C₂²×C₄	—	61	1	no	—
1148	C₂²×C₄	—	61	1	no	—
1149	C₂²×C₄	—	61	1	no	—
1150	C₂²×C₄	—	61	1	no	—
1151	C₂²×C₄	—	122	2	no	—
1152	C₂²×C₄	—	244	1	no	—
1153	C₂²×C₄	—	244	1	no	—
1154	C₂²×C₄	—	244	1	no	—
1155	C₂²×C₄	—	244	1	no	—
1156	C₂²×C₄	—	244	1	no	—
1157	C₂²×C₄	—	244	1	no	—
1158	C₂²×C₄	—	244	1	no	—
1159	C₂²×C₄	—	244	1	no	—
1160	C₂²×C₄	—	244	1	no	—
1161	C₂²×C₄	—	244	1	no	—
1162	C₂²×C₄	—	244	1	no	—
1163	C₂²×C₄	—	244	1	no	—
1164	C₂²×C₄	—	244	1	no	—
1165	C₂²×C₄	—	244	1	no	—
1166	C₂²×C₄	—	244	1	no	—
1167	C₂²×C₄	—	244	1	no	—
1168	C₂²×C₄	—	244	1	no	—
1169	C₂²×C₄	—	244	1	no	—
1170	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1184	C₄⋊C₄	—	2	2	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	61	4	no	—
1190	C₄⋊C₄	—	61	4	no	—
1191	C₄⋊C₄	—	61	4	no	—
1192	C₄⋊C₄	—	61	4	no	—
1193	C₄⋊C₄	—	61	4	no	—
1194	C₄⋊C₄	—	122	2	no	—
1195	C₄⋊C₄	—	244	1	no	—
1196	C₄⋊C₄	—	244	1	no	—
1197	C₄⋊C₄	—	244	1	no	—
1198	C₄⋊C₄	—	244	1	no	—
1199	C₄⋊C₄	—	244	1	no	—
1200	C₄⋊C₄	—	244	1	no	—
1201	C₄⋊C₄	—	244	1	no	—
1202	C₄⋊C₄	—	244	1	no	—
1203	C₄⋊C₄	—	244	1	no	—
1204	C₄⋊C₄	—	244	1	no	—
1205	C₄⋊C₄	—	244	1	no	—
1206	C₄⋊C₄	—	244	1	no	—
1207	C₄⋊C₄	—	244	1	no	—
1208	C₄⋊C₄	—	244	1	no	—
1209	C₄⋊C₄	—	244	1	no	—
1210	C₄⋊C₄	—	244	1	no	—
1211	C₄⋊C₄	C₂×C₄×D₆₁	1	4	yes	—
1212	C₄⋊C₄	C₂×C₄×D₆₁	1	4	yes	—
1213	C₄⋊C₄	C₂×C₄×D₆₁	1	4	yes	—
1214	C₂²⋊C₄	—	4	1	no	—
1215	C₂²⋊C₄	—	4	1	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	61	4	no	—
1218	C₂²⋊C₄	—	61	4	no	—
1219	C₂²⋊C₄	—	61	4	no	—
1220	C₂²⋊C₄	—	61	4	no	—
1221	C₂²⋊C₄	—	61	4	no	—
1222	C₂²⋊C₄	—	61	4	no	—
1223	C₂²⋊C₄	—	61	4	no	—
1224	C₂²⋊C₄	—	61	4	no	—
1225	C₂²⋊C₄	—	61	4	no	—
1226	C₂²⋊C₄	—	61	4	no	—
1227	C₂²⋊C₄	—	61	4	no	—
1228	C₂²⋊C₄	—	122	2	no	—
1229	C₂²⋊C₄	—	122	2	no	—
1230	C₂²⋊C₄	—	244	1	no	—
1231	C₂²⋊C₄	—	244	1	no	—
1232	C₂²⋊C₄	—	244	1	no	—
1233	C₂²⋊C₄	—	244	1	no	—
1234	C₂²⋊C₄	—	244	1	no	—
1235	C₂²⋊C₄	—	244	1	no	—
1236	C₂²⋊C₄	—	244	1	no	—
1237	C₂²⋊C₄	—	244	1	no	—
1238	C₂²⋊C₄	—	244	1	no	—
1239	C₂²⋊C₄	—	244	1	no	—
1240	C₂²⋊C₄	—	244	1	no	—
1241	C₂²⋊C₄	—	244	1	no	—
1242	C₂²⋊C₄	—	244	1	no	—
1243	C₂²⋊C₄	—	244	1	no	—
1244	C₂²⋊C₄	—	244	1	no	—
1245	C₂²⋊C₄	—	244	1	no	—
1246	C₂²⋊C₄	—	244	1	no	—
1247	C₂²⋊C₄	—	244	1	no	—
1248	C₂²⋊C₄	—	244	1	no	—
1249	C₂²⋊C₄	—	244	1	no	—
1250	C₂²⋊C₄	—	244	1	no	—
1251	C₂²⋊C₄	—	244	1	no	—
1252	C₂²⋊C₄	—	244	1	no	—
1253	C₂²⋊C₄	C₂×C₄×D₆₁	1	4	yes	—
1254	C₂²⋊C₄	C₂×C₄×D₆₁	1	4	yes	—
1255	C₂²⋊C₄	C₂×C₄×D₆₁	1	4	yes	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	4	1	no	—
1258	C₄²	—	4	1	no	—
1259	C₄²	—	4	1	no	—
1260	C₄²	—	4	1	no	—
1261	C₄²	—	4	1	no	—
1262	C₄²	—	4	1	no	—
1263	C₄²	—	61	4	no	—
1264	C₄²	—	61	4	no	—
1265	C₄²	—	122	2	no	—
1266	C₄²	—	122	2	no	—
1267	C₄²	—	244	1	no	—
1268	C₄²	—	244	1	no	—
1269	C₄²	—	244	1	no	—
1270	C₄²	—	244	1	no	—
1271	C₄²	—	244	1	no	—
1272	C₄²	—	244	1	no	—
1273	C₄²	—	244	1	no	—
1274	C₄²	—	244	1	no	—
1275	C₄²	—	244	1	no	—
1276	C₄²	—	244	1	no	—
1277	C₄²	—	244	1	no	—
1278	C₄²	—	244	1	no	—
1279	C₄²	—	244	1	no	—
1280	C₄²	C₂×C₄×D₆₁	1	4	yes	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	61	2	no	—
1288	C₂³	—	61	2	no	—
1289	C₂³	—	61	2	no	—
1290	C₂³	—	122	1	no	—
1291	C₂³	—	122	1	no	—
1292	C₂³	—	122	1	no	—
1293	C₂³	—	122	1	no	—
1294	C₂³	—	122	1	no	—
1295	C₂³	—	122	1	no	—
1296	C₂³	—	122	1	no	—
1297	C₂³	—	122	1	no	—
1298	C₂³	—	122	1	no	—
1299	C₂³	—	122	1	no	—
1300	C₂³	—	122	1	no	—
1301	C₂³	—	122	1	no	—
1302	C₂³	—	122	1	no	—
1303	C₂³	—	122	1	no	—
1304	C₂³	—	122	1	no	—
1305	C₂³	—	122	1	no	—
1306	C₂³	—	122	1	no	—
1307	C₂³	—	122	1	no	—
1308	C₂³	—	488	2	no	—
1309	C₂³	—	488	2	no	—
1310	C₂³	—	488	2	no	—
1311	C₂³	—	488	2	no	—
1312	C₂³	—	244	4	no	—
1313	C₂³	—	244	4	no	—
1314	C₂³	—	244	4	no	—
1315	C₂³	C₂²×C₄×D₆₁	1	2	yes	—
1316	C₂³	C₂⁴×D₆₁	1	1	yes	characteristic
1317	Q₈	—	244	4	no	—
1318	D₄	—	244	4	no	—
1319	D₄	—	244	4	no	—
1320	D₄	—	244	4	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	8	2	no	—
1357	C₂×C₄	—	61	2	no	—
1358	C₂×C₄	—	61	2	no	—
1359	C₂×C₄	—	61	2	no	—
1360	C₂×C₄	—	61	2	no	—
1361	C₂×C₄	—	61	2	no	—
1362	C₂×C₄	—	122	1	no	—
1363	C₂×C₄	—	122	1	no	—
1364	C₂×C₄	—	122	1	no	—
1365	C₂×C₄	—	122	1	no	—
1366	C₂×C₄	—	122	1	no	—
1367	C₂×C₄	—	122	1	no	—
1368	C₂×C₄	—	122	1	no	—
1369	C₂×C₄	—	122	1	no	—
1370	C₂×C₄	—	122	1	no	—
1371	C₂×C₄	—	122	1	no	—
1372	C₂×C₄	—	122	1	no	—
1373	C₂×C₄	—	122	1	no	—
1374	C₂×C₄	—	122	1	no	—
1375	C₂×C₄	—	122	1	no	—
1376	C₂×C₄	—	122	1	no	—
1377	C₂×C₄	—	122	1	no	—
1378	C₂×C₄	—	122	1	no	—
1379	C₂×C₄	—	122	1	no	—
1380	C₂×C₄	—	122	1	no	—
1381	C₂×C₄	—	122	1	no	—
1382	C₂×C₄	—	122	1	no	—
1383	C₂×C₄	—	122	1	no	—
1384	C₂×C₄	—	122	1	no	—
1385	C₂×C₄	—	122	1	no	—
1386	C₂×C₄	—	122	1	no	—
1387	C₂×C₄	—	122	1	no	—
1388	C₂×C₄	—	122	1	no	—
1389	C₂×C₄	—	122	1	no	—
1390	C₂×C₄	—	122	1	no	—
1391	C₂×C₄	—	122	1	no	—
1392	C₂×C₄	—	122	1	no	—
1393	C₂×C₄	—	122	1	no	—
1394	C₂×C₄	—	122	1	no	—
1395	C₂×C₄	—	122	1	no	—
1396	C₂×C₄	—	488	2	no	—
1397	C₂×C₄	—	244	4	no	—
1398	C₂×C₄	—	244	4	no	—
1399	C₂×C₄	—	244	4	no	—
1400	C₂×C₄	—	244	4	no	—
1401	C₂×C₄	—	244	4	no	—
1402	C₂×C₄	—	244	4	no	—
1403	C₂×C₄	—	244	4	no	—
1404	C₂×C₄	C₂²×C₄×D₆₁	1	2	yes	—
1405	C₂×C₄	C₂²×C₄×D₆₁	1	2	yes	—
1406	C₂×C₄	C₂²×C₄×D₆₁	1	2	yes	—
1407	C₂×C₄	C₂²×C₄×D₆₁	1	2	yes	—
1408	C₂×C₄	C₂²×C₄×D₆₁	1	2	yes	—
1409	C₂×C₄	C₂²×C₄×D₆₁	1	2	yes	—
1410	C₂×C₄	#14519823	1	2	yes	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	4	1	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	122	2	no	—
1419	C₂²	—	122	2	no	—
1420	C₂²	—	122	2	no	—
1421	C₂²	—	122	2	no	—
1422	C₂²	—	122	2	no	—
1423	C₂²	—	122	2	no	—
1424	C₂²	—	122	2	no	—
1425	C₂²	—	122	2	no	—
1426	C₂²	—	122	2	no	—
1427	C₂²	—	488	8	no	—
1428	C₂²	—	244	1	no	—
1429	C₂²	—	244	1	no	—
1430	C₂²	—	244	1	no	—
1431	C₂²	—	244	1	no	—
1432	C₂²	—	244	1	no	—
1433	C₂²	—	244	1	no	—
1434	C₂²	—	244	1	no	—
1435	C₂²	—	244	1	no	—
1436	C₂²	—	244	1	no	—
1437	C₂²	—	244	1	no	—
1438	C₂²	—	244	1	no	—
1439	C₂²	—	244	1	no	—
1440	C₂²	C₂³×C₄×D₆₁	1	1	yes	characteristic
1441	C₂²	C₂×#14519823	1	1	yes	characteristic
1442	C₂²	#16840597	1	1	yes	characteristic
1443	C₂²	#16840598	1	1	yes	characteristic
1444	C₂²	#16840598	1	1	yes	characteristic
1445	C₂²	#16840598	1	1	yes	characteristic
1446	C₂²	#16840599	1	1	yes	characteristic
1447	C₄	—	2	2	no	—
1448	C₄	—	2	2	no	—
1449	C₄	—	2	2	no	—
1450	C₄	—	2	2	no	—
1451	C₄	—	2	2	no	—
1452	C₄	—	2	2	no	—
1453	C₄	—	2	2	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	122	2	no	—
1462	C₄	—	122	2	no	—
1463	C₄	—	122	2	no	—
1464	C₄	—	122	2	no	—
1465	C₄	—	122	2	no	—
1466	C₄	—	244	1	no	—
1467	C₄	—	244	1	no	—
1468	C₄	—	244	1	no	—
1469	C₄	—	244	1	no	—
1470	C₄	—	244	1	no	—
1471	C₄	—	244	1	no	—
1472	C₄	—	244	1	no	—
1473	C₄	—	244	1	no	—
1474	C₂	—	4	2	no	—
1475	C₂	—	244	2	no	—
1476	C₂	—	244	2	no	—
1477	C₂	—	244	2	no	—
1478	C₂	#21459018	1	1	yes	characteristic
1479	C₂	#21459019	1	1	yes	characteristic
1480	C₂	C₄×#14519823	1	1	yes	characteristic
1481	C₂	#21459991	1	1	yes	characteristic
1482	C₂	#21460095	1	1	yes	characteristic
1483	C₂	#21460493	1	1	yes	characteristic
1484	C₂	#21460497	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₆₁
commutator	C₂²×C₆₁	C₂⁴×C₄
Fitting	C₆₁×#2373	C₂
socle, cosocle	C₂³×C₆₁	C₂⁵
prime radical	C₂×#14519747	C₂²
hypercenter	#2373	D₆₁
hypocenter	C₆₁	#34508
LCS	G ▷ C₂²×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂³ ◁ #2373

Complements

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

N	H ≅ G/N	type
2. #21448988	C₂	semidirect
3. #21448966	C₂	semidirect
4. #21448966	C₂	semidirect
6. #21448947	C₂	semidirect
7. #21448941	C₂	semidirect
8. #21448848	C₂	semidirect
9. #21448841	C₂	semidirect
10. #21448790	C₂	semidirect
11. #21448788	C₂	semidirect
12. #21448705	C₂	semidirect
13. #21448703	C₂	semidirect
14. #21448666	C₂	semidirect
15. #21448662	C₂	semidirect
16. #21448612	C₂	semidirect
17. #21448603	C₂	semidirect
18. #21448601	C₂	semidirect
19. #21448598	C₂	semidirect
20. #21448571	C₂	semidirect
21. #21448570	C₂	semidirect
22. #21448525	C₂	semidirect
24. #21448425	C₂	semidirect
25. #21448424	C₂	semidirect
26. #21448413	C₂	semidirect
27. #21448413	C₂	semidirect
28. C₄×#14519759	C₂	semidirect
29. #21448263	C₂	semidirect
30. #21448257	C₂	semidirect
31. C₆₁×#2373	C₂	semidirect
32. #16840437	C₄	semidirect
41. C₂×#14519742	C₂²	semidirect
52. C₂×C₄²×D₆₁	C₂²	semidirect
53. #16839668	C₂²	semidirect
54. #16839666	C₂²	semidirect
55. #16839666	C₂²	semidirect
61. #16839661	C₂²	semidirect
62. #16839661	C₂²	semidirect
63. #16839659	C₂²	semidirect
64. #16839659	C₂²	semidirect
65. #16839659	C₂²	semidirect
85. #16839653	C₂²	semidirect
91. #16839652	C₂²	semidirect
92. #16839652	C₂²	semidirect
93. #16839652	C₂²	semidirect
99. #16839651	C₂²	semidirect
100. #16839651	C₂²	semidirect
103. #16839648	C₂²	semidirect
104. #16839648	C₂²	semidirect
105. #16839648	C₂²	semidirect
106. #16839647	C₂²	semidirect
107. #16839647	C₂²	semidirect
108. #16839647	C₂²	semidirect
109. #16839646	C₂²	semidirect
110. #16839646	C₂²	semidirect
111. #16839646	C₂²	semidirect
112. #16839645	C₂²	semidirect
113. #16839644	C₂²	semidirect
114. #16839644	C₂²	semidirect
115. #16839643	C₂²	semidirect
124. #16839636	C₂²	semidirect
125. #16839636	C₂²	semidirect
126. #16839636	C₂²	semidirect
127. #16839636	C₂²	semidirect
130. #16839633	C₂²	semidirect
131. #16839631	C₂²	semidirect
132. #16839628	C₂²	semidirect
133. #16839627	C₂²	semidirect
134. #16839627	C₂²	semidirect
135. #16839626	C₂²	semidirect
138. #16839624	C₂²	semidirect
148. C₄⋊C₄×Dic₆₁	C₂²	semidirect
149. C₄⋊C₄×Dic₆₁	C₂²	semidirect
150. C₄×#11758196	C₂²	semidirect
151. C₄×#11758196	C₂²	semidirect
152. C₄×#11758196	C₂²	semidirect
153. C₄×C₄⋊Dic₆₁	C₂²	semidirect
154. C₄×C₄⋊Dic₆₁	C₂²	semidirect
155. C₄×C₄⋊Dic₆₁	C₂²	semidirect
156. C₄×C₄⋊Dic₆₁	C₂²	semidirect
157. #16839613	C₂²	semidirect
158. #16839613	C₂²	semidirect
164. C₄×#11758198	C₂²	semidirect
165. C₄×#11758198	C₂²	semidirect
170. #16839609	C₂²	semidirect
171. #16839607	C₂²	semidirect
172. #16839607	C₂²	semidirect
174. C₆₁×#389	C₂²	semidirect
178. C₆₁×#387	C₂²	semidirect
179. C₆₁×#387	C₂²	semidirect
180. C₆₁×#387	C₂²	semidirect
182. C₄×C₄⋊C₄×C₆₁	C₂²	semidirect
183. C₄×C₄⋊C₄×C₆₁	C₂²	semidirect
184. C₄×C₄⋊C₄×C₆₁	C₂²	semidirect
187. C₆₁×#376	C₂²	semidirect
201. #14519770	C₂×C₄	semidirect
203. #14519762	C₂×C₄	semidirect
204. #14519762	C₂×C₄	semidirect
206. #14519757	C₂×C₄	semidirect
207. #14519755	C₂×C₄	semidirect
210. C₄×D₂₄₄	C₂×C₄	semidirect
211. #14519739	C₂×C₄	semidirect
214. #14519735	C₂×C₄	semidirect
216. #14519734	C₂×C₄	semidirect
276. C₂²⋊C₄×D₆₁	C₂×C₄	semidirect
277. C₂²⋊C₄×D₆₁	C₂×C₄	semidirect
329. #126×C₆₁	C₂×C₄	semidirect
739. #2373	D₆₁	semidirect
809. #389	C₂×D₆₁	semidirect
863. #387	C₂×D₆₁	semidirect
864. #387	C₂×D₆₁	semidirect
865. #387	C₂×D₆₁	semidirect
910. C₄×C₄⋊C₄	C₂×D₆₁	semidirect
911. C₄×C₄⋊C₄	C₂×D₆₁	semidirect
912. C₄×C₄⋊C₄	C₂×D₆₁	semidirect
929. #376	C₂×D₆₁	semidirect
930. C₆₁	#34508	semidirect
946. #126	C₄×D₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×#16840437	2
#21448988	2
#21448966	2
#21448959	2
#21448947	2
#21448941	2
#21448848	2
#21448841	2
#21448790	2
#21448788	2
#21448705	2
#21448703	2
#21448666	2
#21448662	2
#21448612	2
#21448603	2
#21448601	2
#21448598	2
#21448571	2
#21448570	2
#21448525	2
#21448479	2
#21448425	2
#21448424	2
#21448413	2
C₄×#14519759	2
#21448263	2
#21448257	2
C₆₁×#2373	2
#34508	61