Subgroups — #28798549

Order 15104.

1462 conjugacy classes of subgroups.

The subgroup lattice has 1272 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21432432	C₂	1	1	yes	maximal, characteristic
2	#21432432	C₂	1	1	yes	maximal, characteristic
3	#21432054	C₂	1	1	yes	maximal, characteristic, complemented
4	#21432052	C₂	1	1	yes	maximal, characteristic, complemented
5	#21432009	C₂	1	1	yes	maximal, characteristic, complemented
6	#21432007	C₂	1	1	yes	maximal, characteristic, complemented
7	#21431691	C₂	1	1	yes	maximal, characteristic, complemented
8	#21431685	C₂	1	1	yes	maximal, characteristic, complemented
9	#21431661	C₂	1	1	yes	maximal, characteristic, complemented
10	#21431655	C₂	1	1	yes	maximal, characteristic, complemented
11	#21431267	C₂	1	1	yes	maximal, characteristic
12	#21431263	C₂	1	1	yes	maximal, characteristic
13	#21431168	C₂	1	1	yes	maximal, characteristic
14	#21431164	C₂	1	1	yes	maximal, characteristic
15	#21430676	C₂	1	1	yes	maximal, characteristic
16	#21430664	C₂	1	1	yes	maximal, characteristic
17	#21430553	C₂	1	1	yes	maximal, characteristic
18	#21430541	C₂	1	1	yes	maximal, characteristic
19	#21430195	C₂	1	1	yes	maximal, characteristic, complemented
20	#21430193	C₂	1	1	yes	maximal, characteristic, complemented
21	#21429790	C₂	1	1	yes	maximal, characteristic
22	#21429746	C₂	1	1	yes	maximal, characteristic, complemented
23	#21429669	C₂	1	1	yes	maximal, characteristic
24	#21429534	C₂	1	1	yes	maximal, characteristic, complemented
25	#21429532	C₂	1	1	yes	maximal, characteristic, complemented
26	#21429482	C₂	1	1	yes	maximal, characteristic, complemented
27	#21428306	C₂	1	1	yes	maximal, characteristic
28	#21426895	C₂	1	1	yes	maximal, characteristic, complemented
29	#21426745	C₂	1	1	yes	maximal, characteristic, complemented
30	#21426578	C₂	1	1	yes	maximal, characteristic
31	C₅₉×#2478	C₂	1	1	yes	maximal, characteristic
32	C₂×#14273720	C₂²	1	1	yes	characteristic
33	C₂×#14273717	C₂²	1	1	yes	characteristic
34	C₂×#14273704	C₂²	1	1	yes	characteristic
35	C₂×#14273704	C₂²	1	1	yes	characteristic
36	C₂×#14273692	C₂²	1	1	yes	characteristic
37	C₂×#14273686	C₂²	1	1	yes	characteristic
38	C₂²×C₄×Dic₅₉	C₂²	1	1	yes	characteristic
39	C₅₉⋊#401	C₂²	1	1	yes	characteristic
40	C₅₉⋊#401	C₂²	1	1	yes	characteristic
41	#16837344	C₂²	1	1	yes	characteristic
42	#16837344	C₂²	1	1	yes	characteristic
43	#16837344	C₂²	1	1	yes	characteristic
44	#16837344	C₂²	1	1	yes	characteristic
45	#16837343	C₂²	1	1	yes	characteristic
46	#16837343	C₂²	1	1	yes	characteristic
47	#16837343	C₂²	1	1	yes	characteristic
48	#16837343	C₂²	1	1	yes	characteristic
49	#16837343	C₂²	1	1	yes	characteristic
50	#16837343	C₂²	1	1	yes	characteristic
51	#16837341	C₂²	1	1	yes	characteristic
52	#16837341	C₂²	1	1	yes	characteristic
53	#16837340	C₂²	1	1	yes	characteristic
54	#16837340	C₂²	1	1	yes	characteristic
55	#16837340	C₂²	1	1	yes	characteristic
56	#16837338	C₂²	1	1	yes	characteristic
57	#16837336	C₂²	1	1	yes	characteristic
58	#16837336	C₂²	1	1	yes	characteristic
59	#16837336	C₂²	1	1	yes	characteristic
60	#16837335	C₂²	1	1	yes	characteristic
61	#16837335	C₂²	1	1	yes	characteristic
62	#16837335	C₂²	1	1	yes	characteristic
63	#16837335	C₂²	1	1	yes	characteristic
64	#16837335	C₂²	1	1	yes	characteristic
65	#16837335	C₂²	1	1	yes	characteristic
66	#16837334	C₂²	1	1	yes	characteristic
67	#16837333	C₂²	1	1	yes	characteristic
68	#16837332	C₂²	1	1	yes	characteristic
69	#16837332	C₂²	1	1	yes	characteristic
70	#16837332	C₂²	1	1	yes	characteristic
71	#16837330	C₂²	1	1	yes	characteristic
72	#16837330	C₂²	1	1	yes	characteristic
73	#16837330	C₂²	1	1	yes	characteristic
74	#16837330	C₂²	1	1	yes	characteristic
75	#16837323	C₂²	1	1	yes	characteristic
76	#16837323	C₂²	1	1	yes	characteristic
77	#16837322	C₂²	1	1	yes	characteristic
78	#16837322	C₂²	1	1	yes	characteristic
79	#16837322	C₂²	1	1	yes	characteristic
80	#16837322	C₂²	1	1	yes	characteristic
81	#16837322	C₂²	1	1	yes	characteristic
82	#16837314	C₂²	1	1	yes	characteristic
83	#16837308	C₂²	1	1	yes	characteristic
84	#16837307	C₂²	1	1	yes	characteristic
85	#16837306	C₂²	1	1	yes	characteristic
86	#16837306	C₂²	1	1	yes	characteristic
87	#16837306	C₂²	1	1	yes	characteristic
88	#16837306	C₂²	1	1	yes	characteristic
89	#16837306	C₂²	1	1	yes	characteristic
90	#16837306	C₂²	1	1	yes	characteristic
91	#16837306	C₂²	1	1	yes	characteristic
92	#16837306	C₂²	1	1	yes	characteristic
93	#16837301	C₂²	1	1	yes	characteristic
94	#16837300	C₂²	1	1	yes	characteristic
95	#16837300	C₂²	1	1	yes	characteristic
96	#16837299	C₂²	1	1	yes	characteristic
97	#16837299	C₂²	1	1	yes	characteristic
98	#16837299	C₂²	1	1	yes	characteristic
99	#16837299	C₂²	1	1	yes	characteristic
100	#16837298	C₂²	1	1	yes	characteristic
101	#16837298	C₂²	1	1	yes	characteristic
102	#16837298	C₂²	1	1	yes	characteristic
103	#16837298	C₂²	1	1	yes	characteristic
104	#16837297	C₂²	1	1	yes	characteristic
105	#16837297	C₂²	1	1	yes	characteristic
106	#16837297	C₂²	1	1	yes	characteristic
107	#16837297	C₂²	1	1	yes	characteristic
108	#16837297	C₂²	1	1	yes	characteristic
109	#16837297	C₂²	1	1	yes	characteristic
110	#16837297	C₂²	1	1	yes	characteristic
111	#16837297	C₂²	1	1	yes	characteristic
112	#16837297	C₂²	1	1	yes	characteristic
113	#16837296	C₂²	1	1	yes	characteristic
114	#16837295	C₂²	1	1	yes	characteristic
115	#16837295	C₂²	1	1	yes	characteristic
116	#16837295	C₂²	1	1	yes	characteristic
117	#16837290	C₂²	1	1	yes	characteristic
118	#16837289	C₂²	1	1	yes	characteristic
119	#16837289	C₂²	1	1	yes	characteristic
120	#16837289	C₂²	1	1	yes	characteristic
121	#16837288	C₂²	1	1	yes	characteristic
122	#16837288	C₂²	1	1	yes	characteristic
123	#16837288	C₂²	1	1	yes	characteristic
124	#16837288	C₂²	1	1	yes	characteristic
125	#16837288	C₂²	1	1	yes	characteristic
126	#16837287	C₂²	1	1	yes	characteristic
127	#16837287	C₂²	1	1	yes	characteristic
128	#16837287	C₂²	1	1	yes	characteristic
129	#16837286	C₂²	1	1	yes	characteristic
130	#16837286	C₂²	1	1	yes	characteristic
131	#16837286	C₂²	1	1	yes	characteristic
132	#16837286	C₂²	1	1	yes	characteristic
133	#16837286	C₂²	1	1	yes	characteristic
134	#16837286	C₂²	1	1	yes	characteristic
135	#16837286	C₂²	1	1	yes	characteristic
136	#16837286	C₂²	1	1	yes	characteristic
137	#16837284	C₂²	1	1	yes	characteristic
138	#16837284	C₂²	1	1	yes	characteristic
139	#16837284	C₂²	1	1	yes	characteristic
140	#16837284	C₂²	1	1	yes	characteristic
141	#16837284	C₂²	1	1	yes	characteristic
142	#16837284	C₂²	1	1	yes	characteristic
143	#16837284	C₂²	1	1	yes	characteristic
144	#16837283	C₂²	1	1	yes	characteristic
145	#16837283	C₂²	1	1	yes	characteristic
146	#16837283	C₂²	1	1	yes	characteristic
147	#16837283	C₂²	1	1	yes	characteristic
148	#16837283	C₂²	1	1	yes	characteristic
149	#16837275	C₂²	1	1	yes	characteristic
150	#16837275	C₂²	1	1	yes	characteristic
151	#16837274	C₂²	1	1	yes	characteristic
152	#16837274	C₂²	1	1	yes	characteristic
153	#16837274	C₂²	1	1	yes	characteristic
154	#16837274	C₂²	1	1	yes	characteristic
155	#16837269	C₂²	1	1	yes	characteristic
156	#16837269	C₂²	1	1	yes	characteristic
157	#16837269	C₂²	1	1	yes	characteristic
158	#16837267	C₂²	1	1	yes	characteristic
159	#16837266	C₂²	1	1	yes	characteristic
160	#16837263	C₂²	1	1	yes	characteristic
161	#16837263	C₂²	1	1	yes	characteristic
162	#16837263	C₂²	1	1	yes	characteristic
163	#16837263	C₂²	1	1	yes	characteristic
164	#16837260	C₂²	1	1	yes	characteristic
165	#16837260	C₂²	1	1	yes	characteristic
166	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
171	#16837247	C₂²	1	1	yes	characteristic
172	C₂×#126×C₅₉	C₂²	1	1	yes	characteristic
173	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
174	C₅₉×#398	C₂²	1	1	yes	characteristic
175	C₅₉×#398	C₂²	1	1	yes	characteristic
176	C₅₉×#397	C₂²	1	1	yes	characteristic
177	C₅₉×#397	C₂²	1	1	yes	characteristic
178	C₅₉×#389	C₂²	1	1	yes	characteristic
179	C₅₉×#389	C₂²	1	1	yes	characteristic
180	C₅₉×#388	C₂²	1	1	yes	characteristic
181	C₅₉×#387	C₂²	1	1	yes	characteristic
182	C₅₉×#387	C₂²	1	1	yes	characteristic
183	C₅₉×#387	C₂²	1	1	yes	characteristic
184	C₅₉×#385	C₂²	1	1	yes	characteristic
185	C₅₉×#385	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₁₈	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₁₈	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₁₈	C₂³	1	1	yes	characteristic
190	C₂³×Dic₅₉	C₂³	1	1	yes	characteristic
191	C₂³×Dic₅₉	C₂³	1	1	yes	characteristic
192	#14273720	—	4	2	no	—
193	#14273717	—	2	4	no	—
194	#14273704	—	4	2	no	—
195	#14273704	—	4	2	no	—
196	#14273692	—	2	4	no	—
197	#14273686	—	2	4	no	—
198	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
207	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
243	C₂×C₄×Dic₅₉	—	4	2	no	—
244	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
245	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
246	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
247	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
248	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
249	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
250	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
251	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
252	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
253	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
256	C₅₉⋊#95	C₂³	1	1	yes	characteristic
257	C₅₉⋊#95	C₂³	1	1	yes	characteristic
258	C₅₉⋊#95	C₂³	1	1	yes	characteristic
259	C₅₉⋊#95	C₂³	1	1	yes	characteristic
260	C₅₉⋊#95	C₂³	1	1	yes	characteristic
261	C₅₉⋊#95	C₂³	1	1	yes	characteristic
262	C₅₉⋊#95	C₂³	1	1	yes	characteristic
263	C₅₉⋊#95	C₂³	1	1	yes	characteristic
264	C₅₉⋊#95	C₂³	1	1	yes	characteristic
265	C₅₉⋊#95	C₂³	1	1	yes	characteristic
266	C₅₉⋊#95	C₂³	1	1	yes	characteristic
267	C₅₉⋊#95	C₂³	1	1	yes	characteristic
268	C₅₉⋊#95	C₂³	1	1	yes	characteristic
269	C₅₉⋊#95	C₂³	1	1	yes	characteristic
270	C₅₉⋊#95	C₂³	1	1	yes	characteristic
271	C₅₉⋊#95	C₂³	1	1	yes	characteristic
272	C₅₉⋊#95	C₂³	1	1	yes	characteristic
273	C₅₉⋊#95	C₂³	1	1	yes	characteristic
274	C₅₉⋊#95	C₂³	1	1	yes	characteristic
275	C₅₉⋊#95	C₂³	1	1	yes	characteristic
276	C₅₉⋊#95	C₂³	1	1	yes	characteristic
277	C₅₉⋊#95	C₂³	1	1	yes	characteristic
278	C₅₉⋊#95	C₂³	1	1	yes	characteristic
279	C₅₉⋊#95	C₂³	1	1	yes	characteristic
280	C₅₉⋊#95	C₂³	1	1	yes	characteristic
281	C₅₉⋊#95	C₂³	1	1	yes	characteristic
282	C₅₉⋊#95	C₂³	1	1	yes	characteristic
283	C₅₉⋊#95	C₂³	1	1	yes	characteristic
284	C₅₉⋊#95	C₂³	1	1	yes	characteristic
285	C₅₉⋊#95	C₂³	1	1	yes	characteristic
286	C₅₉⋊#95	C₂³	1	1	yes	characteristic
287	C₅₉⋊#95	C₂³	1	1	yes	characteristic
288	C₅₉⋊#95	C₂³	1	1	yes	characteristic
289	C₅₉⋊#95	C₂³	1	1	yes	characteristic
290	C₅₉⋊#95	C₂³	1	1	yes	characteristic
291	C₅₉⋊#95	C₂³	1	1	yes	characteristic
292	C₅₉⋊#95	C₂³	1	1	yes	characteristic
293	C₅₉⋊#95	C₂³	1	1	yes	characteristic
294	C₅₉⋊#95	C₂³	1	1	yes	characteristic
295	C₅₉⋊#95	C₂³	1	1	yes	characteristic
296	C₅₉⋊#95	C₂³	1	1	yes	characteristic
297	C₅₉⋊#95	C₂³	1	1	yes	characteristic
298	C₅₉⋊#95	C₂³	1	1	yes	characteristic
299	C₅₉⋊#95	C₂³	1	1	yes	characteristic
300	C₅₉⋊#95	C₂³	1	1	yes	characteristic
301	C₅₉⋊#95	C₂³	1	1	yes	characteristic
302	C₅₉⋊#95	C₂³	1	1	yes	characteristic
303	C₅₉⋊#95	C₂³	1	1	yes	characteristic
304	C₅₉⋊#95	C₂³	1	1	yes	characteristic
305	C₅₉⋊#95	C₂³	1	1	yes	characteristic
306	C₅₉⋊#95	C₂³	1	1	yes	characteristic
307	C₅₉⋊#95	C₂³	1	1	yes	characteristic
308	C₅₉⋊#95	C₂³	1	1	yes	characteristic
309	C₅₉⋊#95	C₂³	1	1	yes	characteristic
310	C₅₉⋊#95	C₂³	1	1	yes	characteristic
311	C₅₉⋊#95	C₂³	1	1	yes	characteristic
312	C₅₉⋊#95	C₂³	1	1	yes	characteristic
313	C₅₉⋊#95	C₂³	1	1	yes	characteristic
314	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
315	#126×C₅₉	—	4	2	no	—
316	#117×C₅₉	—	4	2	no	—
317	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
339	#95×C₅₉	C₂³	1	1	yes	characteristic
340	#95×C₅₉	C₂³	1	1	yes	characteristic
341	#95×C₅₉	C₂³	1	1	yes	characteristic
342	#95×C₅₉	C₂³	1	1	yes	characteristic
343	#95×C₅₉	C₂³	1	1	yes	characteristic
344	#95×C₅₉	C₂³	1	1	yes	characteristic
345	#95×C₅₉	C₂³	1	1	yes	characteristic
346	#95×C₅₉	C₂³	1	1	yes	characteristic
347	#95×C₅₉	C₂³	1	1	yes	characteristic
348	#95×C₅₉	C₂³	1	1	yes	characteristic
349	#95×C₅₉	C₂³	1	1	yes	characteristic
350	#95×C₅₉	C₂³	1	1	yes	characteristic
351	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₅₉	—	2	2	no	—
353	C₂²×C₄×C₅₉	—	2	2	no	—
354	C₂²×C₄×C₅₉	—	2	2	no	—
355	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₅₉	—	2	2	no	—
370	C₂²×Dic₅₉	—	2	2	no	—
371	C₂²×Dic₅₉	—	2	2	no	—
372	C₂²×Dic₅₉	—	2	2	no	—
373	C₂²×Dic₅₉	—	4	1	no	—
374	C₂²×Dic₅₉	—	4	1	no	—
375	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
391	C₂×Dic₁₁₈	—	2	2	no	—
392	C₂×Dic₁₁₈	—	2	2	no	—
393	C₂×Dic₁₁₈	—	2	2	no	—
394	C₂×Dic₁₁₈	—	4	1	no	—
395	C₂×Dic₁₁₈	—	4	1	no	—
396	C₂×Dic₁₁₈	—	4	1	no	—
397	C₂×Dic₁₁₈	—	4	1	no	—
398	C₂×Dic₁₁₈	—	4	1	no	—
399	C₂×Dic₁₁₈	—	4	1	no	—
400	C₄⋊C₄×C₅₉	—	2	2	no	—
401	C₄⋊C₄×C₅₉	—	2	2	no	—
402	C₄⋊C₄×C₅₉	—	2	2	no	—
403	C₄⋊C₄×C₅₉	—	2	2	no	—
404	C₄⋊C₄×C₅₉	—	4	1	no	—
405	C₄⋊C₄×C₅₉	—	4	1	no	—
406	C₄⋊C₄×C₅₉	—	4	1	no	—
407	C₄⋊C₄×C₅₉	—	4	1	no	—
408	C₄⋊C₄×C₅₉	—	4	1	no	—
409	C₄⋊C₄×C₅₉	—	4	1	no	—
410	C₄⋊C₄×C₅₉	—	4	1	no	—
411	C₄⋊C₄×C₅₉	—	4	1	no	—
412	C₂²⋊C₄×C₅₉	—	2	2	no	—
413	C₂²⋊C₄×C₅₉	—	2	2	no	—
414	C₂²⋊C₄×C₅₉	—	2	2	no	—
415	C₂²⋊C₄×C₅₉	—	2	2	no	—
416	C₂²⋊C₄×C₅₉	—	4	1	no	—
417	C₂²⋊C₄×C₅₉	—	4	1	no	—
418	C₄²×C₅₉	—	4	1	no	—
419	C₄²×C₅₉	—	4	1	no	—
420	C₄²×C₅₉	—	4	1	no	—
421	C₄²×C₅₉	—	4	1	no	—
422	C₂²⋊Dic₅₉	—	2	2	no	—
423	C₂²⋊Dic₅₉	—	2	2	no	—
424	C₂²⋊Dic₅₉	—	2	2	no	—
425	C₂²⋊Dic₅₉	—	2	2	no	—
426	C₂²⋊Dic₅₉	—	4	1	no	—
427	C₂²⋊Dic₅₉	—	4	1	no	—
428	C₄⋊Dic₅₉	—	2	2	no	—
429	C₄⋊Dic₅₉	—	2	2	no	—
430	C₄⋊Dic₅₉	—	2	2	no	—
431	C₄⋊Dic₅₉	—	4	1	no	—
432	C₄⋊Dic₅₉	—	4	1	no	—
433	C₄⋊Dic₅₉	—	4	1	no	—
434	C₄⋊Dic₅₉	—	4	1	no	—
435	C₄⋊Dic₅₉	—	4	1	no	—
436	C₄⋊Dic₅₉	—	4	1	no	—
437	Dic₅₉⋊C₄	—	2	2	no	—
438	Dic₅₉⋊C₄	—	2	2	no	—
439	Dic₅₉⋊C₄	—	2	2	no	—
440	Dic₅₉⋊C₄	—	2	2	no	—
441	Dic₅₉⋊C₄	—	2	2	no	—
442	Dic₅₉⋊C₄	—	2	2	no	—
443	Dic₅₉⋊C₄	—	2	2	no	—
444	Dic₅₉⋊C₄	—	2	2	no	—
445	Dic₅₉⋊C₄	—	2	2	no	—
446	Dic₅₉⋊C₄	—	2	2	no	—
447	Dic₅₉⋊C₄	—	2	2	no	—
448	Dic₅₉⋊C₄	—	2	2	no	—
449	Dic₅₉⋊C₄	—	2	2	no	—
450	Dic₅₉⋊C₄	—	2	2	no	—
451	Dic₅₉⋊C₄	—	4	1	no	—
452	Dic₅₉⋊C₄	—	4	1	no	—
453	Dic₅₉⋊C₄	—	4	1	no	—
454	Dic₅₉⋊C₄	—	4	1	no	—
455	Dic₅₉⋊C₄	—	4	1	no	—
456	Dic₅₉⋊C₄	—	4	1	no	—
457	Dic₅₉⋊C₄	—	4	1	no	—
458	Dic₅₉⋊C₄	—	4	1	no	—
459	Dic₅₉⋊C₄	—	4	1	no	—
460	Dic₅₉⋊C₄	—	4	1	no	—
461	Dic₅₉⋊C₄	—	4	1	no	—
462	Dic₅₉⋊C₄	—	4	1	no	—
463	Dic₅₉⋊C₄	—	4	1	no	—
464	Dic₅₉⋊C₄	—	4	1	no	—
465	Dic₅₉⋊C₄	—	4	1	no	—
466	Dic₅₉⋊C₄	—	4	1	no	—
467	C₄×Dic₅₉	—	2	2	no	—
468	C₄×Dic₅₉	—	2	2	no	—
469	C₄×Dic₅₉	—	2	2	no	—
470	C₄×Dic₅₉	—	4	1	no	—
471	C₄×Dic₅₉	—	4	1	no	—
472	C₄×Dic₅₉	—	4	1	no	—
473	C₄×Dic₅₉	—	4	1	no	—
474	C₄×Dic₅₉	—	4	1	no	—
475	C₄×Dic₅₉	—	4	1	no	—
476	C₄×Dic₅₉	—	4	1	no	—
477	C₄×Dic₅₉	—	4	1	no	—
478	C₄×Dic₅₉	#41	1	4	yes	—
479	C₂³×C₅₉	—	2	1	no	—
480	C₂³×C₅₉	—	2	1	no	—
481	C₂³×C₅₉	—	2	1	no	—
482	C₂³×C₅₉	—	2	1	no	—
483	C₂³×C₅₉	—	2	1	no	—
484	C₂³×C₅₉	—	2	1	no	—
485	C₂³×C₅₉	H(5,𝔽₂)	1	2	yes	—
486	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
487	C₂×C₄×C₅₉	—	2	8	no	—
488	C₂×C₄×C₅₉	—	2	1	no	—
489	C₂×C₄×C₅₉	—	2	1	no	—
490	C₂×C₄×C₅₉	—	2	1	no	—
491	C₂×C₄×C₅₉	—	2	1	no	—
492	C₂×C₄×C₅₉	—	2	1	no	—
493	C₂×C₄×C₅₉	—	2	1	no	—
494	C₂×C₄×C₅₉	—	2	1	no	—
495	C₂×C₄×C₅₉	—	2	1	no	—
496	C₂×C₄×C₅₉	—	2	1	no	—
497	C₂×C₄×C₅₉	—	2	1	no	—
498	C₂×C₄×C₅₉	—	2	1	no	—
499	C₂×C₄×C₅₉	—	2	1	no	—
500	C₂×C₄×C₅₉	—	2	1	no	—
501	C₂×C₄×C₅₉	—	2	1	no	—
502	C₂×C₄×C₅₉	—	2	1	no	—
503	C₂×C₄×C₅₉	—	2	1	no	—
504	C₂×C₄×C₅₉	—	2	1	no	—
505	C₂×C₄×C₅₉	—	2	1	no	—
506	C₂×C₄×C₅₉	—	2	1	no	—
507	C₂×C₄×C₅₉	—	2	1	no	—
508	C₂×C₄×C₅₉	—	2	1	no	—
509	C₂×C₄×C₅₉	—	2	1	no	—
510	C₂×C₄×C₅₉	—	2	1	no	—
511	C₂×C₄×C₅₉	—	2	1	no	—
512	C₂×C₄×C₅₉	—	2	1	no	—
513	C₂×C₄×C₅₉	—	2	1	no	—
514	C₂×C₄×C₅₉	—	2	1	no	—
515	C₂×C₄×C₅₉	—	2	1	no	—
516	C₂×C₄×C₅₉	—	2	1	no	—
517	C₂×C₄×C₅₉	—	2	1	no	—
518	C₂×C₄×C₅₉	—	2	1	no	—
519	C₂×C₄×C₅₉	—	2	1	no	—
520	C₂×C₄×C₅₉	—	2	1	no	—
521	C₂×C₄×C₅₉	—	2	1	no	—
522	C₂×C₄×C₅₉	—	2	1	no	—
523	C₂×C₄×C₅₉	—	2	1	no	—
524	C₂×C₄×C₅₉	—	2	1	no	—
525	C₂×C₄×C₅₉	—	2	1	no	—
526	C₂×C₄×C₅₉	—	2	1	no	—
527	C₂×C₄×C₅₉	—	2	1	no	—
528	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
529	C₂×C₄×C₅₉	2₋¹⁺⁴	1	2	yes	—
530	C₂×Dic₅₉	—	2	1	no	—
531	C₂×Dic₅₉	—	2	1	no	—
532	C₂×Dic₅₉	—	2	1	no	—
533	C₂×Dic₅₉	—	2	1	no	—
534	C₂×Dic₅₉	—	2	1	no	—
535	C₂×Dic₅₉	—	2	1	no	—
536	C₂×Dic₅₉	—	2	1	no	—
537	C₂×Dic₅₉	—	2	1	no	—
538	C₂×Dic₅₉	—	2	1	no	—
539	C₂×Dic₅₉	—	2	1	no	—
540	C₂×Dic₅₉	—	2	1	no	—
541	C₂×Dic₅₉	—	2	1	no	—
542	C₂×Dic₅₉	—	2	1	no	—
543	C₂×Dic₅₉	—	2	1	no	—
544	C₂×Dic₅₉	—	2	1	no	—
545	C₂×Dic₅₉	—	2	1	no	—
546	C₂×Dic₅₉	—	2	1	no	—
547	C₂×Dic₅₉	—	2	1	no	—
548	C₂×Dic₅₉	—	2	1	no	—
549	C₂×Dic₅₉	—	2	1	no	—
550	C₂×Dic₅₉	—	2	1	no	—
551	C₂×Dic₅₉	—	2	1	no	—
552	C₂×Dic₅₉	—	2	1	no	—
553	C₂×Dic₅₉	—	2	1	no	—
554	C₂×Dic₅₉	—	2	1	no	—
555	C₂×Dic₅₉	—	2	1	no	—
556	C₂×Dic₅₉	—	2	1	no	—
557	C₂×Dic₅₉	—	2	1	no	—
558	C₂×Dic₅₉	—	2	1	no	—
559	C₂×Dic₅₉	—	2	1	no	—
560	C₂×Dic₅₉	—	2	1	no	—
561	C₂×Dic₅₉	—	2	1	no	—
562	C₂×Dic₅₉	—	2	1	no	—
563	C₂×Dic₅₉	—	2	1	no	—
564	C₂×Dic₅₉	—	2	1	no	—
565	C₂×Dic₅₉	—	2	1	no	—
566	C₂×Dic₅₉	—	2	1	no	—
567	C₂×Dic₅₉	—	2	1	no	—
568	C₂×Dic₅₉	—	2	1	no	—
569	C₂×Dic₅₉	—	2	1	no	—
570	C₂×Dic₅₉	—	2	1	no	—
571	C₂×Dic₅₉	—	2	1	no	—
572	C₂×Dic₅₉	—	2	1	no	—
573	C₂×Dic₅₉	—	2	1	no	—
574	C₂×Dic₅₉	—	4	4	no	—
575	C₂×Dic₅₉	—	4	4	no	—
576	C₂×Dic₅₉	C₂×#41	1	2	yes	—
577	C₂×Dic₅₉	C₂×#41	1	2	yes	—
578	C₂×Dic₅₉	2₋¹⁺⁴	1	2	yes	—
579	C₂×Dic₅₉	2₋¹⁺⁴	1	2	yes	—
580	Dic₁₁₈	—	4	4	no	—
581	Dic₁₁₈	—	8	2	no	—
582	Dic₁₁₈	—	8	2	no	—
583	#36829	—	59	1	no	maximal, Sylow
584	C₂²×C₅₉	—	2	2	no	—
585	C₂²×C₅₉	—	2	2	no	—
586	C₂²×C₅₉	—	2	2	no	—
587	C₂²×C₅₉	—	4	1	no	—
588	C₂²×C₅₉	—	4	1	no	—
589	C₂²×C₅₉	—	4	1	no	—
590	C₂²×C₅₉	—	4	1	no	—
591	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
592	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
593	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
594	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
595	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
596	C₂²×C₅₉	#585	1	1	yes	characteristic
597	C₂²×C₅₉	#585	1	1	yes	characteristic
598	C₄×C₅₉	—	2	2	no	—
599	C₄×C₅₉	—	2	2	no	—
600	C₄×C₅₉	—	4	1	no	—
601	C₄×C₅₉	—	4	1	no	—
602	C₄×C₅₉	—	4	1	no	—
603	C₄×C₅₉	—	4	1	no	—
604	C₄×C₅₉	—	4	1	no	—
605	C₄×C₅₉	—	4	1	no	—
606	C₄×C₅₉	—	4	1	no	—
607	C₄×C₅₉	—	4	1	no	—
608	C₄×C₅₉	—	4	1	no	—
609	C₄×C₅₉	—	4	1	no	—
610	C₄×C₅₉	—	4	1	no	—
611	C₄×C₅₉	—	4	1	no	—
612	Dic₅₉	—	2	2	no	—
613	Dic₅₉	—	2	2	no	—
614	Dic₅₉	—	2	2	no	—
615	Dic₅₉	—	2	2	no	—
616	Dic₅₉	—	4	1	no	—
617	Dic₅₉	—	4	1	no	—
618	Dic₅₉	—	4	1	no	—
619	Dic₅₉	—	4	1	no	—
620	Dic₅₉	—	4	1	no	—
621	Dic₅₉	—	4	1	no	—
622	Dic₅₉	—	4	1	no	—
623	Dic₅₉	—	4	1	no	—
624	Dic₅₉	—	4	1	no	—
625	Dic₅₉	—	4	1	no	—
626	Dic₅₉	—	4	1	no	—
627	Dic₅₉	—	4	1	no	—
628	#2855	—	59	1	no	—
629	#2855	—	59	1	no	—
630	#2806	—	59	1	no	—
631	#2806	—	59	1	no	—
632	#2802	—	59	1	no	—
633	#2802	—	59	1	no	—
634	#2776	—	59	1	no	—
635	#2776	—	59	1	no	—
636	#2774	—	59	1	no	—
637	#2774	—	59	1	no	—
638	#2745	—	59	1	no	—
639	#2745	—	59	1	no	—
640	#2738	—	59	1	no	—
641	#2738	—	59	1	no	—
642	#2698	—	59	1	no	—
643	#2698	—	59	1	no	—
644	#2689	—	59	1	no	—
645	#2689	—	59	1	no	—
646	#2655	—	59	1	no	—
647	#2655	—	59	1	no	—
648	#2611	—	59	1	no	—
649	#2605	—	59	1	no	—
650	#2599	—	59	1	no	—
651	#2588	—	59	1	no	—
652	#2588	—	59	1	no	—
653	#2584	—	59	1	no	—
654	#2478	—	59	1	no	—
655	#2478	D₅₉	1	1	yes	characteristic
656	#2336	—	59	1	no	—
657	#2320	—	59	1	no	—
658	#2296	—	59	1	no	—
659	C₂×C₅₉	—	4	2	no	—
660	C₂×C₅₉	#3455	1	1	yes	characteristic
661	C₂×C₅₉	#3492	1	1	yes	characteristic
662	C₂×C₅₉	#3509	1	1	yes	characteristic
663	C₂×C₅₉	#3535	1	1	yes	characteristic
664	C₂×C₅₉	#3535	1	1	yes	characteristic
665	C₂×C₅₉	#3555	1	1	yes	characteristic
666	C₂×C₅₉	#3555	1	1	yes	characteristic
667	C₂×#126	—	59	1	no	—
668	C₂×#126	C₂×D₅₉	1	1	yes	characteristic
669	C₂×#125	—	59	1	no	—
670	C₂×C₂²⋊Q₈	—	59	1	no	—
671	C₂×C₂²⋊Q₈	—	59	1	no	—
672	C₂×C₄×Q₈	—	59	1	no	—
673	C₂×#117	—	59	1	no	—
674	C₂×#117	C₂×D₅₉	1	1	yes	characteristic
675	C₂²×C₄²	—	59	1	no	—
676	#401	—	59	1	no	—
677	#401	—	59	1	no	—
678	#400	—	59	1	no	—
679	#400	—	59	1	no	—
680	#400	—	59	1	no	—
681	#400	—	59	1	no	—
682	#400	—	59	1	no	—
683	#400	—	59	1	no	—
684	#400	—	59	1	no	—
685	#400	—	59	1	no	—
686	#400	—	59	1	no	—
687	#400	—	59	1	no	—
688	#400	—	59	1	no	—
689	#400	—	59	1	no	—
690	#400	—	59	1	no	—
691	#400	—	59	1	no	—
692	#400	—	59	1	no	—
693	#399	—	59	1	no	—
694	#398	—	59	1	no	—
695	#398	—	59	1	no	—
696	#398	—	59	1	no	—
697	#398	—	59	1	no	—
698	#398	—	59	1	no	—
699	#398	—	59	1	no	—
700	#398	—	59	1	no	—
701	#398	—	59	1	no	—
702	#398	—	59	1	no	—
703	#398	—	59	1	no	—
704	#398	—	59	1	no	—
705	#398	—	59	1	no	—
706	#398	—	59	1	no	—
707	#398	—	59	1	no	—
708	#398	C₂×D₅₉	1	1	yes	characteristic
709	#398	C₂×D₅₉	1	1	yes	characteristic
710	#397	—	59	1	no	—
711	#397	—	59	1	no	—
712	#397	—	59	1	no	—
713	#397	—	59	1	no	—
714	#397	C₂×D₅₉	1	1	yes	characteristic
715	#397	C₂×D₅₉	1	1	yes	characteristic
716	#395	—	59	1	no	—
717	#395	—	59	1	no	—
718	#395	—	59	1	no	—
719	#395	—	59	1	no	—
720	#395	—	59	1	no	—
721	#395	—	59	1	no	—
722	#395	—	59	1	no	—
723	#393	—	59	1	no	—
724	#391	—	59	1	no	—
725	#391	—	59	1	no	—
726	#391	—	59	1	no	—
727	#391	—	59	1	no	—
728	#391	—	59	1	no	—
729	#391	—	59	1	no	—
730	#391	—	59	1	no	—
731	#391	—	59	1	no	—
732	#391	—	59	1	no	—
733	#391	—	59	1	no	—
734	#389	—	59	1	no	—
735	#389	—	59	1	no	—
736	#389	—	59	1	no	—
737	#389	—	59	1	no	—
738	#389	—	59	1	no	—
739	#389	—	59	1	no	—
740	#389	—	59	1	no	—
741	#389	—	59	1	no	—
742	#389	—	59	1	no	—
743	#389	—	59	1	no	—
744	#389	—	59	1	no	—
745	#389	—	59	1	no	—
746	#389	—	59	1	no	—
747	#389	—	59	1	no	—
748	#389	—	59	1	no	—
749	#389	—	59	1	no	—
750	#389	—	59	1	no	—
751	#389	—	59	1	no	—
752	#389	—	59	1	no	—
753	#389	—	59	1	no	—
754	#389	C₂×D₅₉	1	1	yes	characteristic
755	#389	C₂×D₅₉	1	1	yes	characteristic
756	#388	—	59	1	no	—
757	#388	—	59	1	no	—
758	#388	—	59	1	no	—
759	#388	—	59	1	no	—
760	#388	—	59	1	no	—
761	#388	C₂×D₅₉	1	1	yes	characteristic
762	#387	—	59	1	no	—
763	#387	—	59	1	no	—
764	#387	—	59	1	no	—
765	#387	—	59	1	no	—
766	#387	—	59	1	no	—
767	#387	—	59	1	no	—
768	#387	—	59	1	no	—
769	#387	—	59	1	no	—
770	#387	—	59	1	no	—
771	#387	—	59	1	no	—
772	#387	—	59	1	no	—
773	#387	—	59	1	no	—
774	#387	—	59	1	no	—
775	#387	—	59	1	no	—
776	#387	—	59	1	no	—
777	#387	—	59	1	no	—
778	#387	—	59	1	no	—
779	#387	—	59	1	no	—
780	#387	—	59	1	no	—
781	#387	—	59	1	no	—
782	#387	—	59	1	no	—
783	#387	—	59	1	no	—
784	#387	—	59	1	no	—
785	#387	—	59	1	no	—
786	#387	—	59	1	no	—
787	#387	—	59	1	no	—
788	#387	—	59	1	no	—
789	#387	—	59	1	no	—
790	#387	—	59	1	no	—
791	#387	—	59	1	no	—
792	#387	—	59	1	no	—
793	#387	C₂×D₅₉	1	1	yes	characteristic
794	#387	C₂×D₅₉	1	1	yes	characteristic
795	#387	C₂×D₅₉	1	1	yes	characteristic
796	#385	—	59	1	no	—
797	#385	—	59	1	no	—
798	#385	—	59	1	no	—
799	#385	—	59	1	no	—
800	#385	—	59	1	no	—
801	#385	—	59	1	no	—
802	#385	C₂×D₅₉	1	1	yes	characteristic
803	#385	C₂×D₅₉	1	1	yes	characteristic
804	#383	—	59	1	no	—
805	#383	—	59	1	no	—
806	#383	—	59	1	no	—
807	#382	—	59	1	no	—
808	#382	—	59	1	no	—
809	#381	—	59	1	no	—
810	#381	—	59	1	no	—
811	#381	—	59	1	no	—
812	#381	—	59	1	no	—
813	#380	—	59	1	no	—
814	#380	—	59	1	no	—
815	C₄×C₄⋊C₄	—	59	1	no	—
816	C₄×C₄⋊C₄	—	59	1	no	—
817	C₄×C₄⋊C₄	—	59	1	no	—
818	C₄×C₄⋊C₄	—	59	1	no	—
819	C₄×C₄⋊C₄	—	59	1	no	—
820	C₄×C₄⋊C₄	C₂×D₅₉	1	1	yes	characteristic
821	#376	—	59	1	no	—
822	C₅₉	#36829	1	1	yes	characteristic, complemented, Sylow
823	C₂²×Q₈	—	59	1	no	—
824	C₂²×Q₈	—	59	1	no	—
825	C₂²×Q₈	—	59	1	no	—
826	C₂³×C₄	—	59	1	no	—
827	C₂³×C₄	—	59	1	no	—
828	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
829	#126	—	4	2	no	—
830	#126	—	236	2	no	—
831	#125	—	118	4	no	—
832	C₂²⋊Q₈	—	236	2	no	—
833	C₂²⋊Q₈	—	236	2	no	—
834	C₄×Q₈	—	118	4	no	—
835	#117	—	4	2	no	—
836	#117	—	118	4	no	—
837	C₂×C₄⋊C₄	—	59	1	no	—
838	C₂×C₄⋊C₄	—	59	1	no	—
839	C₂×C₄⋊C₄	—	59	1	no	—
840	C₂×C₄⋊C₄	—	59	1	no	—
841	C₂×C₄⋊C₄	—	59	1	no	—
842	C₂×C₄⋊C₄	—	59	1	no	—
843	C₂×C₄⋊C₄	—	59	1	no	—
844	C₂×C₄⋊C₄	—	59	1	no	—
845	C₂×C₄⋊C₄	—	59	1	no	—
846	C₂×C₄⋊C₄	—	59	1	no	—
847	C₂×C₄⋊C₄	—	59	1	no	—
848	C₂×C₄⋊C₄	—	59	1	no	—
849	C₂×C₄⋊C₄	—	59	1	no	—
850	C₂×C₄⋊C₄	—	59	1	no	—
851	C₂×C₄⋊C₄	—	59	1	no	—
852	C₂×C₄⋊C₄	—	59	1	no	—
853	C₂×C₄⋊C₄	—	59	1	no	—
854	C₂×C₄⋊C₄	—	59	1	no	—
855	C₂×C₄⋊C₄	—	59	1	no	—
856	C₂×C₄⋊C₄	—	59	1	no	—
857	C₂×C₄⋊C₄	—	59	1	no	—
858	C₂×C₄⋊C₄	—	59	1	no	—
859	C₂×C₄⋊C₄	—	59	1	no	—
860	C₂×C₄⋊C₄	—	59	1	no	—
861	C₂×C₄⋊C₄	—	59	1	no	—
862	C₂×C₄⋊C₄	—	59	1	no	—
863	C₂×C₄⋊C₄	—	59	1	no	—
864	C₂×C₄⋊C₄	—	59	1	no	—
865	C₂×C₄⋊C₄	—	59	1	no	—
866	C₂×C₄⋊C₄	—	59	1	no	—
867	C₂×C₄⋊C₄	—	59	1	no	—
868	C₂×C₄⋊C₄	—	59	1	no	—
869	C₂×C₄⋊C₄	—	59	1	no	—
870	C₂×C₄⋊C₄	—	59	1	no	—
871	C₂×C₄⋊C₄	—	59	1	no	—
872	C₂×C₄⋊C₄	—	59	1	no	—
873	C₂×C₄⋊C₄	—	59	1	no	—
874	C₂×C₄⋊C₄	—	59	1	no	—
875	C₂×C₄⋊C₄	—	59	1	no	—
876	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
888	C₂×C₂²⋊C₄	—	59	1	no	—
889	C₂×C₂²⋊C₄	—	59	1	no	—
890	C₂×C₂²⋊C₄	—	59	1	no	—
891	C₂×C₂²⋊C₄	—	59	1	no	—
892	C₂×C₂²⋊C₄	—	59	1	no	—
893	C₂×C₂²⋊C₄	—	59	1	no	—
894	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
900	C₂×C₄²	—	59	1	no	—
901	C₂×C₄²	—	59	1	no	—
902	C₂×C₄²	—	59	1	no	—
903	C₂×C₄²	—	59	1	no	—
904	C₂×C₄²	—	59	1	no	—
905	C₂×C₄²	—	59	1	no	—
906	C₂×C₄²	—	59	1	no	—
907	C₂×C₄²	—	59	1	no	—
908	C₂×C₄²	—	59	1	no	—
909	C₂×C₄²	—	59	1	no	—
910	C₂×C₄²	—	59	1	no	—
911	C₂×C₄²	—	59	1	no	—
912	C₂×C₄²	—	236	2	no	—
913	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
914	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
915	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
916	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
917	#95	—	59	1	no	—
918	#95	—	59	1	no	—
919	#95	—	59	1	no	—
920	#95	—	59	1	no	—
921	#95	—	59	1	no	—
922	#95	—	59	1	no	—
923	#95	—	59	1	no	—
924	#95	—	59	1	no	—
925	#95	—	59	1	no	—
926	#95	—	59	1	no	—
927	#95	—	59	1	no	—
928	#95	—	59	1	no	—
929	#95	—	59	1	no	—
930	#95	—	59	1	no	—
931	#95	—	59	1	no	—
932	#95	—	59	1	no	—
933	#95	—	59	1	no	—
934	#95	—	59	1	no	—
935	#95	—	59	1	no	—
936	#95	—	59	1	no	—
937	#95	—	59	1	no	—
938	#95	—	59	1	no	—
939	#95	—	59	1	no	—
940	#95	—	59	1	no	—
941	#95	—	59	1	no	—
942	#95	—	59	1	no	—
943	#95	—	59	1	no	—
944	#95	—	59	1	no	—
945	#95	—	59	1	no	—
946	#95	—	59	1	no	—
947	#95	—	59	1	no	—
948	#95	—	59	1	no	—
949	#95	—	59	1	no	—
950	#95	—	59	1	no	—
951	#95	—	59	1	no	—
952	#95	—	59	1	no	—
953	#95	—	59	1	no	—
954	#95	—	59	1	no	—
955	#95	—	59	1	no	—
956	#95	—	59	1	no	—
957	#95	—	59	1	no	—
958	#95	—	59	1	no	—
959	#95	—	59	1	no	—
960	#95	—	59	1	no	—
961	#95	—	59	1	no	—
962	#95	—	59	1	no	—
963	#95	—	59	1	no	—
964	#95	—	59	1	no	—
965	#95	—	59	1	no	—
966	#95	—	59	1	no	—
967	#95	—	59	1	no	—
968	#95	—	59	1	no	—
969	#95	—	59	1	no	—
970	#95	—	59	1	no	—
971	#95	—	59	1	no	—
972	#95	—	59	1	no	—
973	#95	—	59	1	no	—
974	#95	—	59	1	no	—
975	#95	C₂²×D₅₉	1	1	yes	characteristic
976	#95	C₂²×D₅₉	1	1	yes	characteristic
977	#95	C₂²×D₅₉	1	1	yes	characteristic
978	#95	C₂²×D₅₉	1	1	yes	characteristic
979	#95	C₂²×D₅₉	1	1	yes	characteristic
980	#95	C₂²×D₅₉	1	1	yes	characteristic
981	#95	C₂²×D₅₉	1	1	yes	characteristic
982	#95	C₂²×D₅₉	1	1	yes	characteristic
983	#95	C₂²×D₅₉	1	1	yes	characteristic
984	#95	C₂²×D₅₉	1	1	yes	characteristic
985	#95	C₂²×D₅₉	1	1	yes	characteristic
986	#95	C₂²×D₅₉	1	1	yes	characteristic
987	C₂⁴	C₂³×D₅₉	1	1	yes	characteristic
988	C₂×Q₈	—	118	2	no	—
989	C₂×Q₈	—	118	2	no	—
990	C₂×Q₈	—	118	2	no	—
991	C₂×Q₈	—	236	1	no	—
992	C₂×Q₈	—	236	1	no	—
993	C₂×Q₈	—	236	1	no	—
994	C₂×Q₈	—	236	1	no	—
995	C₂×Q₈	—	236	1	no	—
996	C₂×Q₈	—	236	1	no	—
997	C₂²×C₄	—	2	2	no	—
998	C₂²×C₄	—	2	2	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	59	1	no	—
1001	C₂²×C₄	—	59	1	no	—
1002	C₂²×C₄	—	59	1	no	—
1003	C₂²×C₄	—	59	1	no	—
1004	C₂²×C₄	—	59	1	no	—
1005	C₂²×C₄	—	59	1	no	—
1006	C₂²×C₄	—	59	1	no	—
1007	C₂²×C₄	—	59	1	no	—
1008	C₂²×C₄	—	59	1	no	—
1009	C₂²×C₄	—	59	1	no	—
1010	C₂²×C₄	—	59	1	no	—
1011	C₂²×C₄	—	59	1	no	—
1012	C₂²×C₄	—	59	1	no	—
1013	C₂²×C₄	—	59	1	no	—
1014	C₂²×C₄	—	59	1	no	—
1015	C₂²×C₄	—	59	1	no	—
1016	C₂²×C₄	—	118	2	no	—
1017	C₂²×C₄	—	118	2	no	—
1018	C₂²×C₄	—	118	2	no	—
1019	C₂²×C₄	—	118	2	no	—
1020	C₂²×C₄	—	236	1	no	—
1021	C₂²×C₄	—	236	1	no	—
1022	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1023	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1024	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1029	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1030	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1031	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1032	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1033	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1036	C₄⋊C₄	—	2	2	no	—
1037	C₄⋊C₄	—	2	2	no	—
1038	C₄⋊C₄	—	2	2	no	—
1039	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₄⋊C₄	—	4	1	no	—
1043	C₄⋊C₄	—	4	1	no	—
1044	C₄⋊C₄	—	4	1	no	—
1045	C₄⋊C₄	—	4	1	no	—
1046	C₄⋊C₄	—	4	1	no	—
1047	C₄⋊C₄	—	4	1	no	—
1048	C₄⋊C₄	—	118	2	no	—
1049	C₄⋊C₄	—	118	2	no	—
1050	C₄⋊C₄	—	118	2	no	—
1051	C₄⋊C₄	—	118	2	no	—
1052	C₄⋊C₄	—	118	2	no	—
1053	C₄⋊C₄	—	118	2	no	—
1054	C₄⋊C₄	—	118	2	no	—
1055	C₄⋊C₄	—	118	2	no	—
1056	C₄⋊C₄	—	118	2	no	—
1057	C₄⋊C₄	—	118	2	no	—
1058	C₄⋊C₄	—	118	2	no	—
1059	C₄⋊C₄	—	118	2	no	—
1060	C₄⋊C₄	—	118	2	no	—
1061	C₄⋊C₄	—	118	2	no	—
1062	C₄⋊C₄	—	118	2	no	—
1063	C₄⋊C₄	—	118	2	no	—
1064	C₄⋊C₄	—	118	2	no	—
1065	C₄⋊C₄	—	236	1	no	—
1066	C₄⋊C₄	—	236	1	no	—
1067	C₄⋊C₄	—	236	1	no	—
1068	C₄⋊C₄	—	236	1	no	—
1069	C₄⋊C₄	—	236	1	no	—
1070	C₄⋊C₄	—	236	1	no	—
1071	C₄⋊C₄	—	236	1	no	—
1072	C₄⋊C₄	—	236	1	no	—
1073	C₄⋊C₄	—	236	1	no	—
1074	C₄⋊C₄	—	236	1	no	—
1075	C₄⋊C₄	—	236	1	no	—
1076	C₄⋊C₄	—	236	1	no	—
1077	C₄⋊C₄	—	236	1	no	—
1078	C₄⋊C₄	—	236	1	no	—
1079	C₄⋊C₄	—	236	1	no	—
1080	C₄⋊C₄	—	236	1	no	—
1081	C₄⋊C₄	—	236	1	no	—
1082	C₄⋊C₄	—	236	1	no	—
1083	C₄⋊C₄	—	236	1	no	—
1084	C₄⋊C₄	—	236	1	no	—
1085	C₄⋊C₄	—	236	1	no	—
1086	C₄⋊C₄	—	236	1	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	2	2	no	—
1090	C₂²⋊C₄	—	2	2	no	—
1091	C₂²⋊C₄	—	4	1	no	—
1092	C₂²⋊C₄	—	4	1	no	—
1093	C₂²⋊C₄	—	118	2	no	—
1094	C₂²⋊C₄	—	118	2	no	—
1095	C₂²⋊C₄	—	118	2	no	—
1096	C₂²⋊C₄	—	118	2	no	—
1097	C₂²⋊C₄	—	236	1	no	—
1098	C₂²⋊C₄	—	236	1	no	—
1099	C₄²	—	4	1	no	—
1100	C₄²	—	4	1	no	—
1101	C₄²	—	4	1	no	—
1102	C₄²	—	4	1	no	—
1103	C₄²	—	59	4	no	—
1104	C₄²	—	118	2	no	—
1105	C₄²	—	118	2	no	—
1106	C₄²	—	118	2	no	—
1107	C₄²	—	236	1	no	—
1108	C₄²	—	236	1	no	—
1109	C₄²	—	236	1	no	—
1110	C₄²	—	236	1	no	—
1111	C₄²	—	236	1	no	—
1112	C₄²	—	236	1	no	—
1113	C₄²	—	236	1	no	—
1114	C₄²	—	236	1	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	2	1	no	—
1117	C₂³	—	2	1	no	—
1118	C₂³	—	2	1	no	—
1119	C₂³	—	2	1	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	#14273772	1	2	yes	—
1122	C₂³	C₂⁴×D₅₉	1	1	yes	characteristic
1123	Q₈	—	472	2	no	—
1124	Q₈	—	472	2	no	—
1125	Q₈	—	236	4	no	—
1126	C₂×C₄	—	2	8	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	59	2	no	—
1168	C₂×C₄	—	59	2	no	—
1169	C₂×C₄	—	59	2	no	—
1170	C₂×C₄	—	59	2	no	—
1171	C₂×C₄	—	118	1	no	—
1172	C₂×C₄	—	118	1	no	—
1173	C₂×C₄	—	118	1	no	—
1174	C₂×C₄	—	118	1	no	—
1175	C₂×C₄	—	118	1	no	—
1176	C₂×C₄	—	118	1	no	—
1177	C₂×C₄	—	118	1	no	—
1178	C₂×C₄	—	118	1	no	—
1179	C₂×C₄	—	118	1	no	—
1180	C₂×C₄	—	118	1	no	—
1181	C₂×C₄	—	118	1	no	—
1182	C₂×C₄	—	118	1	no	—
1183	C₂×C₄	—	118	1	no	—
1184	C₂×C₄	—	118	1	no	—
1185	C₂×C₄	—	118	1	no	—
1186	C₂×C₄	—	118	1	no	—
1187	C₂×C₄	—	118	1	no	—
1188	C₂×C₄	—	118	1	no	—
1189	C₂×C₄	—	118	1	no	—
1190	C₂×C₄	—	118	1	no	—
1191	C₂×C₄	—	118	1	no	—
1192	C₂×C₄	—	118	1	no	—
1193	C₂×C₄	—	118	1	no	—
1194	C₂×C₄	—	118	1	no	—
1195	C₂×C₄	—	118	1	no	—
1196	C₂×C₄	—	118	1	no	—
1197	C₂×C₄	—	118	1	no	—
1198	C₂×C₄	—	118	1	no	—
1199	C₂×C₄	—	118	1	no	—
1200	C₂×C₄	—	118	1	no	—
1201	C₂×C₄	—	118	1	no	—
1202	C₂×C₄	—	118	1	no	—
1203	C₂×C₄	—	118	1	no	—
1204	C₂×C₄	—	118	1	no	—
1205	C₂×C₄	—	118	1	no	—
1206	C₂×C₄	—	118	1	no	—
1207	C₂×C₄	—	118	1	no	—
1208	C₂×C₄	—	118	1	no	—
1209	C₂×C₄	—	118	1	no	—
1210	C₂×C₄	—	118	1	no	—
1211	C₂×C₄	—	118	1	no	—
1212	C₂×C₄	—	118	1	no	—
1213	C₂×C₄	—	118	1	no	—
1214	C₂×C₄	—	118	1	no	—
1215	C₂×C₄	—	236	4	no	—
1216	C₂×C₄	—	236	4	no	—
1217	C₂×C₄	#41×D₅₉	1	2	yes	—
1218	C₂×C₄	#14273774	1	2	yes	—
1219	C₂²	—	2	2	no	—
1220	C₂²	—	2	2	no	—
1221	C₂²	—	2	2	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	C₂×#41×D₅₉	1	1	yes	characteristic
1227	C₂²	C₂×#14273772	1	1	yes	characteristic
1228	C₂²	2₋¹⁺⁴×D₅₉	1	1	yes	characteristic
1229	C₂²	2₋¹⁺⁴×D₅₉	1	1	yes	characteristic
1230	C₂²	C₂×#14273774	1	1	yes	characteristic
1231	C₂²	#16838238	1	1	yes	characteristic
1232	C₂²	#16838238	1	1	yes	characteristic
1233	C₄	—	2	2	no	—
1234	C₄	—	2	2	no	—
1235	C₄	—	4	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	1	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	1	no	—
1240	C₄	—	4	1	no	—
1241	C₄	—	4	1	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	118	2	no	—
1248	C₄	—	118	2	no	—
1249	C₄	—	118	2	no	—
1250	C₄	—	118	2	no	—
1251	C₄	—	236	1	no	—
1252	C₄	—	236	1	no	—
1253	C₄	—	236	1	no	—
1254	C₄	—	236	1	no	—
1255	C₄	—	236	1	no	—
1256	C₄	—	236	1	no	—
1257	C₄	—	236	1	no	—
1258	C₄	—	236	1	no	—
1259	C₄	—	236	1	no	—
1260	C₄	—	236	1	no	—
1261	C₄	—	236	1	no	—
1262	C₄	—	236	1	no	—
1263	C₂	—	4	2	no	—
1264	C₂	#21437479	1	1	yes	characteristic
1265	C₂	#21437797	1	1	yes	characteristic
1266	C₂	#21437978	1	1	yes	characteristic
1267	C₂	#21438297	1	1	yes	characteristic
1268	C₂	#21438297	1	1	yes	characteristic
1269	C₂	#21438571	1	1	yes	characteristic
1270	C₂	#21438579	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅₉
commutator, socle, cosocle	C₂³×C₅₉	C₂⁵
Fitting	C₅₉×#2478	C₂
prime radical	C₂⁴×C₅₉	C₂⁴
hypercenter	#2478	D₅₉
hypocenter	C₅₉	#36829
LCS	G ▷ C₂³×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂³ ◁ #2478

Complements

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

N	H ≅ G/N	type
3. #21432054	C₂	semidirect
4. #21432052	C₂	semidirect
5. #21432009	C₂	semidirect
6. #21432007	C₂	semidirect
7. #21431691	C₂	semidirect
8. #21431685	C₂	semidirect
9. #21431661	C₂	semidirect
10. #21431655	C₂	semidirect
19. #21430195	C₂	semidirect
20. #21430193	C₂	semidirect
22. #21429746	C₂	semidirect
24. #21429534	C₂	semidirect
25. #21429532	C₂	semidirect
26. #21429482	C₂	semidirect
28. #21426895	C₂	semidirect
29. #21426745	C₂	semidirect
822. C₅₉	#36829	semidirect

Maximal subgroups

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

subgroup	index
#21432432	2
#21432054	2
#21432052	2
#21432009	2
#21432007	2
#21431691	2
#21431685	2
#21431661	2
#21431655	2
#21431267	2
#21431263	2
#21431168	2
#21431164	2
#21430676	2
#21430664	2
#21430553	2
#21430541	2
#21430195	2
#21430193	2
#21429790	2
#21429746	2
#21429669	2
#21429534	2
#21429532	2
#21429482	2
#21428306	2
#21426895	2
#21426745	2
#21426578	2
C₅₉×#2478	2
#36829	59