Subgroups — #29452062

Order 15104.

1634 conjugacy classes of subgroups.

The subgroup lattice has 1294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21432086	C₂	1	1	yes	maximal, characteristic, complemented
2	#21431051	C₂	1	1	yes	maximal, characteristic, complemented
3	#21431049	C₂	1	1	yes	maximal, characteristic, complemented
4	#21431044	C₂	1	1	yes	maximal, characteristic, complemented
5	#21429500	C₂	1	1	yes	maximal, characteristic, complemented
6	#21429499	C₂	1	1	yes	maximal, characteristic, complemented
7	#21429498	C₂	1	1	yes	maximal, characteristic, complemented
8	#21429496	C₂	1	1	yes	maximal, characteristic, complemented
9	#21429491	C₂	1	1	yes	maximal, characteristic, complemented
10	#21429486	C₂	1	1	yes	maximal, characteristic, complemented
11	#21428308	C₂	1	1	yes	maximal, characteristic
12	#21428308	C₂	1	1	yes	maximal, characteristic
13	#21428307	C₂	1	1	yes	maximal, characteristic
14	#21428306	C₂	1	1	yes	maximal, characteristic
15	#21428305	C₂	1	1	yes	maximal, characteristic
16	#21428273	C₂	1	1	yes	maximal, characteristic
17	#21428271	C₂	1	1	yes	maximal, characteristic
18	#21428268	C₂	1	1	yes	maximal, characteristic
19	#21428268	C₂	1	1	yes	maximal, characteristic
20	#21428266	C₂	1	1	yes	maximal, characteristic
21	#21428264	C₂	1	1	yes	maximal, characteristic
22	#21427197	C₂	1	1	yes	maximal, characteristic, complemented
23	#21427195	C₂	1	1	yes	maximal, characteristic, complemented
24	#21427193	C₂	1	1	yes	maximal, characteristic, complemented
25	#21427192	C₂	1	1	yes	maximal, characteristic, complemented
26	#21427187	C₂	1	1	yes	maximal, characteristic, complemented
27	#21427187	C₂	1	1	yes	maximal, characteristic, complemented
28	#21426578	C₂	1	1	yes	maximal, characteristic
29	#21426575	C₂	1	1	yes	maximal, characteristic
30	#21426575	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×#14273719	C₂²	1	1	yes	characteristic
34	C₂×#14273718	C₂²	1	1	yes	characteristic
35	C₂×#14273717	C₂²	1	1	yes	characteristic
36	C₂×#14273717	C₂²	1	1	yes	characteristic
37	C₂×#14273717	C₂²	1	1	yes	characteristic
38	C₂×#14273717	C₂²	1	1	yes	characteristic
39	C₂×#14273686	C₂²	1	1	yes	characteristic
40	C₂×#14273683	C₂²	1	1	yes	characteristic
41	C₂×#14273683	C₂²	1	1	yes	characteristic
42	C₂×#14273683	C₂²	1	1	yes	characteristic
43	C₂×#14273683	C₂²	1	1	yes	characteristic
44	C₂²×C₄×Dic₅₉	C₂²	1	1	yes	characteristic
45	#16837344	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	#16837342	C₂²	1	1	yes	characteristic
50	#16837341	C₂²	1	1	yes	characteristic
51	#16837336	C₂²	1	1	yes	characteristic
52	#16837336	C₂²	1	1	yes	characteristic
53	#16837336	C₂²	1	1	yes	characteristic
54	#16837336	C₂²	1	1	yes	characteristic
55	#16837336	C₂²	1	1	yes	characteristic
56	#16837336	C₂²	1	1	yes	characteristic
57	#16837335	C₂²	1	1	yes	characteristic
58	#16837335	C₂²	1	1	yes	characteristic
59	#16837335	C₂²	1	1	yes	characteristic
60	#16837335	C₂²	1	1	yes	characteristic
61	#16837334	C₂²	1	1	yes	characteristic
62	#16837333	C₂²	1	1	yes	characteristic
63	#16837333	C₂²	1	1	yes	characteristic
64	#16837333	C₂²	1	1	yes	characteristic
65	#16837332	C₂²	1	1	yes	characteristic
66	#16837332	C₂²	1	1	yes	characteristic
67	#16837330	C₂²	1	1	yes	characteristic
68	#16837330	C₂²	1	1	yes	characteristic
69	#16837330	C₂²	1	1	yes	characteristic
70	#16837330	C₂²	1	1	yes	characteristic
71	#16837325	C₂²	1	1	yes	characteristic
72	#16837325	C₂²	1	1	yes	characteristic
73	#16837300	C₂²	1	1	yes	characteristic
74	#16837299	C₂²	1	1	yes	characteristic
75	#16837299	C₂²	1	1	yes	characteristic
76	#16837299	C₂²	1	1	yes	characteristic
77	#16837299	C₂²	1	1	yes	characteristic
78	#16837299	C₂²	1	1	yes	characteristic
79	#16837299	C₂²	1	1	yes	characteristic
80	#16837299	C₂²	1	1	yes	characteristic
81	#16837299	C₂²	1	1	yes	characteristic
82	#16837299	C₂²	1	1	yes	characteristic
83	#16837298	C₂²	1	1	yes	characteristic
84	#16837298	C₂²	1	1	yes	characteristic
85	#16837298	C₂²	1	1	yes	characteristic
86	#16837298	C₂²	1	1	yes	characteristic
87	#16837298	C₂²	1	1	yes	characteristic
88	#16837298	C₂²	1	1	yes	characteristic
89	#16837298	C₂²	1	1	yes	characteristic
90	#16837298	C₂²	1	1	yes	characteristic
91	#16837298	C₂²	1	1	yes	characteristic
92	#16837297	C₂²	1	1	yes	characteristic
93	#16837297	C₂²	1	1	yes	characteristic
94	#16837297	C₂²	1	1	yes	characteristic
95	#16837297	C₂²	1	1	yes	characteristic
96	#16837297	C₂²	1	1	yes	characteristic
97	#16837297	C₂²	1	1	yes	characteristic
98	#16837297	C₂²	1	1	yes	characteristic
99	#16837297	C₂²	1	1	yes	characteristic
100	#16837297	C₂²	1	1	yes	characteristic
101	#16837296	C₂²	1	1	yes	characteristic
102	#16837295	C₂²	1	1	yes	characteristic
103	#16837295	C₂²	1	1	yes	characteristic
104	#16837295	C₂²	1	1	yes	characteristic
105	#16837290	C₂²	1	1	yes	characteristic
106	#16837289	C₂²	1	1	yes	characteristic
107	#16837289	C₂²	1	1	yes	characteristic
108	#16837289	C₂²	1	1	yes	characteristic
109	#16837289	C₂²	1	1	yes	characteristic
110	#16837289	C₂²	1	1	yes	characteristic
111	#16837289	C₂²	1	1	yes	characteristic
112	#16837288	C₂²	1	1	yes	characteristic
113	#16837288	C₂²	1	1	yes	characteristic
114	#16837288	C₂²	1	1	yes	characteristic
115	#16837287	C₂²	1	1	yes	characteristic
116	#16837287	C₂²	1	1	yes	characteristic
117	#16837287	C₂²	1	1	yes	characteristic
118	#16837287	C₂²	1	1	yes	characteristic
119	#16837286	C₂²	1	1	yes	characteristic
120	#16837286	C₂²	1	1	yes	characteristic
121	#16837286	C₂²	1	1	yes	characteristic
122	#16837286	C₂²	1	1	yes	characteristic
123	#16837286	C₂²	1	1	yes	characteristic
124	#16837285	C₂²	1	1	yes	characteristic
125	#16837285	C₂²	1	1	yes	characteristic
126	#16837285	C₂²	1	1	yes	characteristic
127	#16837285	C₂²	1	1	yes	characteristic
128	#16837284	C₂²	1	1	yes	characteristic
129	#16837284	C₂²	1	1	yes	characteristic
130	#16837284	C₂²	1	1	yes	characteristic
131	#16837284	C₂²	1	1	yes	characteristic
132	#16837284	C₂²	1	1	yes	characteristic
133	#16837283	C₂²	1	1	yes	characteristic
134	#16837283	C₂²	1	1	yes	characteristic
135	#16837283	C₂²	1	1	yes	characteristic
136	#16837283	C₂²	1	1	yes	characteristic
137	#16837283	C₂²	1	1	yes	characteristic
138	#16837283	C₂²	1	1	yes	characteristic
139	#16837277	C₂²	1	1	yes	characteristic
140	#16837277	C₂²	1	1	yes	characteristic
141	#16837275	C₂²	1	1	yes	characteristic
142	#16837275	C₂²	1	1	yes	characteristic
143	#16837274	C₂²	1	1	yes	characteristic
144	#16837274	C₂²	1	1	yes	characteristic
145	#16837274	C₂²	1	1	yes	characteristic
146	#16837274	C₂²	1	1	yes	characteristic
147	#16837274	C₂²	1	1	yes	characteristic
148	#16837274	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×Dic₅₉	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×Dic₅₉	C₂²	1	1	yes	characteristic
151	C₄⋊C₄×Dic₅₉	C₂²	1	1	yes	characteristic
152	C₄⋊C₄×Dic₅₉	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×Dic₅₉	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₅₉	C₂²	1	1	yes	characteristic
155	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×Dic₅₉⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₄⋊Dic₅₉	C₂²	1	1	yes	characteristic
164	#16837253	C₂²	1	1	yes	characteristic
165	#16837253	C₂²	1	1	yes	characteristic
166	#16837253	C₂²	1	1	yes	characteristic
167	#16837253	C₂²	1	1	yes	characteristic
168	#16837253	C₂²	1	1	yes	characteristic
169	#16837253	C₂²	1	1	yes	characteristic
170	#16837253	C₂²	1	1	yes	characteristic
171	#16837253	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	C₂³×Dic₅₉	C₂³	1	1	yes	characteristic
188	C₂³×Dic₅₉	C₂³	1	1	yes	characteristic
189	#14273720	—	4	2	no	—
190	#14273719	—	2	4	no	—
191	#14273718	—	2	4	no	—
192	#14273717	—	2	4	no	—
193	#14273717	—	2	4	no	—
194	#14273717	—	2	4	no	—
195	#14273717	—	2	4	no	—
196	#14273686	—	2	4	no	—
197	#14273683	—	2	4	no	—
198	#14273683	—	2	4	no	—
199	#14273683	—	4	2	no	—
200	#14273683	—	4	2	no	—
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×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₅₉	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×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₅₉	—	4	2	no	—
256	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₅₉	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	C₅₉⋊#95	C₂³	1	1	yes	characteristic
315	C₅₉⋊#95	C₂³	1	1	yes	characteristic
316	C₅₉⋊#95	C₂³	1	1	yes	characteristic
317	C₅₉⋊#95	C₂³	1	1	yes	characteristic
318	C₅₉⋊#95	C₂³	1	1	yes	characteristic
319	C₅₉⋊#95	C₂³	1	1	yes	characteristic
320	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
321	#126×C₅₉	—	4	2	no	—
322	#117×C₅₉	—	4	2	no	—
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×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
344	C₂×C₄²×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	#95×C₅₉	C₂³	1	1	yes	characteristic
352	#95×C₅₉	C₂³	1	1	yes	characteristic
353	#95×C₅₉	C₂³	1	1	yes	characteristic
354	#95×C₅₉	C₂³	1	1	yes	characteristic
355	#95×C₅₉	C₂³	1	1	yes	characteristic
356	#95×C₅₉	C₂³	1	1	yes	characteristic
357	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₅₉	—	2	2	no	—
359	C₂²×C₄×C₅₉	—	2	2	no	—
360	C₂²×C₄×C₅₉	—	2	2	no	—
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×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₅₉	—	2	2	no	—
376	C₂²×Dic₅₉	—	2	2	no	—
377	C₂²×Dic₅₉	—	2	2	no	—
378	C₂²×Dic₅₉	—	2	2	no	—
379	C₂²×Dic₅₉	—	2	2	no	—
380	C₂²×Dic₅₉	—	2	2	no	—
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	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
397	C₄⋊C₄×C₅₉	—	2	2	no	—
398	C₄⋊C₄×C₅₉	—	2	2	no	—
399	C₄⋊C₄×C₅₉	—	2	2	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	C₂²⋊C₄×C₅₉	—	2	2	no	—
410	C₂²⋊C₄×C₅₉	—	2	2	no	—
411	C₂²⋊C₄×C₅₉	—	2	2	no	—
412	C₂²⋊C₄×C₅₉	—	2	2	no	—
413	C₂²⋊C₄×C₅₉	—	2	2	no	—
414	C₂²⋊C₄×C₅₉	—	2	2	no	—
415	C₄²×C₅₉	—	2	2	no	—
416	C₄²×C₅₉	—	4	1	no	—
417	C₄²×C₅₉	—	4	1	no	—
418	C₄²×C₅₉	—	4	1	no	—
419	C₂²⋊Dic₅₉	—	2	2	no	—
420	C₂²⋊Dic₅₉	—	2	2	no	—
421	C₂²⋊Dic₅₉	—	2	2	no	—
422	C₂²⋊Dic₅₉	—	2	2	no	—
423	C₂²⋊Dic₅₉	—	2	2	no	—
424	C₂²⋊Dic₅₉	—	2	2	no	—
425	C₄⋊Dic₅₉	—	2	2	no	—
426	C₄⋊Dic₅₉	—	2	2	no	—
427	C₄⋊Dic₅₉	—	2	2	no	—
428	C₄⋊Dic₅₉	—	2	2	no	—
429	C₄⋊Dic₅₉	—	2	2	no	—
430	C₄⋊Dic₅₉	—	2	2	no	—
431	C₄⋊Dic₅₉	—	2	2	no	—
432	C₄⋊Dic₅₉	—	2	2	no	—
433	C₄⋊Dic₅₉	—	2	2	no	—
434	C₄⋊Dic₅₉	—	2	2	no	—
435	C₄⋊Dic₅₉	—	4	1	no	—
436	C₄⋊Dic₅₉	#41	1	4	yes	—
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	—	2	2	no	—
452	Dic₅₉⋊C₄	—	2	2	no	—
453	Dic₅₉⋊C₄	—	2	2	no	—
454	Dic₅₉⋊C₄	—	2	2	no	—
455	Dic₅₉⋊C₄	—	2	2	no	—
456	Dic₅₉⋊C₄	—	2	2	no	—
457	Dic₅₉⋊C₄	—	2	2	no	—
458	Dic₅₉⋊C₄	—	2	2	no	—
459	Dic₅₉⋊C₄	—	2	2	no	—
460	Dic₅₉⋊C₄	—	2	2	no	—
461	Dic₅₉⋊C₄	—	2	2	no	—
462	Dic₅₉⋊C₄	—	2	2	no	—
463	Dic₅₉⋊C₄	—	2	2	no	—
464	Dic₅₉⋊C₄	—	2	2	no	—
465	Dic₅₉⋊C₄	—	4	1	no	—
466	Dic₅₉⋊C₄	—	4	1	no	—
467	Dic₅₉⋊C₄	—	4	1	no	—
468	Dic₅₉⋊C₄	—	4	1	no	—
469	Dic₅₉⋊C₄	—	4	1	no	—
470	Dic₅₉⋊C₄	—	4	1	no	—
471	Dic₅₉⋊C₄	#41	1	4	yes	—
472	Dic₅₉⋊C₄	#41	1	4	yes	—
473	C₄×Dic₅₉	—	2	2	no	—
474	C₄×Dic₅₉	—	2	2	no	—
475	C₄×Dic₅₉	—	2	2	no	—
476	C₄×Dic₅₉	—	2	2	no	—
477	C₄×Dic₅₉	—	2	2	no	—
478	C₄×Dic₅₉	—	2	2	no	—
479	C₄×Dic₅₉	—	2	2	no	—
480	C₄×Dic₅₉	—	2	2	no	—
481	C₄×Dic₅₉	—	2	2	no	—
482	C₄×Dic₅₉	—	2	2	no	—
483	C₄×Dic₅₉	—	2	2	no	—
484	C₄×Dic₅₉	—	4	1	no	—
485	C₄×Dic₅₉	—	4	1	no	—
486	C₄×Dic₅₉	—	4	1	no	—
487	C₄×Dic₅₉	—	4	1	no	—
488	C₄×Dic₅₉	—	4	1	no	—
489	C₄×Dic₅₉	—	4	1	no	—
490	C₄×Dic₅₉	—	4	1	no	—
491	C₄×Dic₅₉	—	4	1	no	—
492	C₄×Dic₅₉	—	4	1	no	—
493	C₂³×C₅₉	—	2	1	no	—
494	C₂³×C₅₉	—	2	1	no	—
495	C₂³×C₅₉	—	2	1	no	—
496	C₂³×C₅₉	—	2	1	no	—
497	C₂³×C₅₉	—	2	1	no	—
498	C₂³×C₅₉	—	2	1	no	—
499	C₂³×C₅₉	H(5,𝔽₂)	1	2	yes	—
500	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
501	C₂×C₄×C₅₉	—	2	8	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	—	2	1	no	—
529	C₂×C₄×C₅₉	—	2	1	no	—
530	C₂×C₄×C₅₉	—	2	1	no	—
531	C₂×C₄×C₅₉	—	2	1	no	—
532	C₂×C₄×C₅₉	—	2	1	no	—
533	C₂×C₄×C₅₉	—	2	1	no	—
534	C₂×C₄×C₅₉	—	2	1	no	—
535	C₂×C₄×C₅₉	—	2	1	no	—
536	C₂×C₄×C₅₉	—	2	1	no	—
537	C₂×C₄×C₅₉	—	2	1	no	—
538	C₂×C₄×C₅₉	—	2	1	no	—
539	C₂×C₄×C₅₉	—	2	1	no	—
540	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
541	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
542	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
543	C₂×C₄×C₅₉	2₋¹⁺⁴	1	2	yes	—
544	C₂×Dic₅₉	—	2	8	no	—
545	C₂×Dic₅₉	—	2	8	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	—	2	1	no	—
575	C₂×Dic₅₉	—	2	1	no	—
576	C₂×Dic₅₉	—	2	1	no	—
577	C₂×Dic₅₉	—	2	1	no	—
578	C₂×Dic₅₉	—	2	1	no	—
579	C₂×Dic₅₉	—	2	1	no	—
580	C₂×Dic₅₉	—	2	1	no	—
581	C₂×Dic₅₉	—	2	1	no	—
582	C₂×Dic₅₉	—	2	1	no	—
583	C₂×Dic₅₉	—	2	1	no	—
584	C₂×Dic₅₉	—	2	1	no	—
585	C₂×Dic₅₉	—	2	1	no	—
586	C₂×Dic₅₉	C₂×#41	1	2	yes	—
587	C₂×Dic₅₉	C₂×#41	1	2	yes	—
588	C₂×Dic₅₉	C₂×#41	1	2	yes	—
589	C₂×Dic₅₉	C₂×#41	1	2	yes	—
590	C₂×Dic₅₉	C₂×#41	1	2	yes	—
591	C₂×Dic₅₉	C₂×#41	1	2	yes	—
592	C₂×Dic₅₉	2₋¹⁺⁴	1	2	yes	—
593	C₂×Dic₅₉	2₋¹⁺⁴	1	2	yes	—
594	#60049	—	59	1	no	maximal, Sylow
595	C₂²×C₅₉	—	2	2	no	—
596	C₂²×C₅₉	—	2	2	no	—
597	C₂²×C₅₉	—	2	2	no	—
598	C₂²×C₅₉	—	4	1	no	—
599	C₂²×C₅₉	—	4	1	no	—
600	C₂²×C₅₉	—	4	1	no	—
601	C₂²×C₅₉	—	4	1	no	—
602	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
603	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
604	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
605	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
606	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
607	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
608	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
609	C₄×C₅₉	—	2	2	no	—
610	C₄×C₅₉	—	2	2	no	—
611	C₄×C₅₉	—	2	2	no	—
612	C₄×C₅₉	—	2	2	no	—
613	C₄×C₅₉	—	4	1	no	—
614	C₄×C₅₉	—	4	1	no	—
615	C₄×C₅₉	—	4	1	no	—
616	C₄×C₅₉	—	4	1	no	—
617	C₄×C₅₉	—	4	1	no	—
618	C₄×C₅₉	—	4	1	no	—
619	C₄×C₅₉	—	4	1	no	—
620	C₄×C₅₉	—	4	1	no	—
621	C₄×C₅₉	—	4	1	no	—
622	C₄×C₅₉	—	4	1	no	—
623	Dic₅₉	—	2	2	no	—
624	Dic₅₉	—	2	2	no	—
625	Dic₅₉	—	2	2	no	—
626	Dic₅₉	—	2	2	no	—
627	Dic₅₉	—	2	2	no	—
628	Dic₅₉	—	2	2	no	—
629	Dic₅₉	—	2	2	no	—
630	Dic₅₉	—	2	2	no	—
631	Dic₅₉	—	4	1	no	—
632	Dic₅₉	—	4	1	no	—
633	Dic₅₉	—	4	1	no	—
634	Dic₅₉	—	4	1	no	—
635	Dic₅₉	—	4	1	no	—
636	Dic₅₉	—	4	1	no	—
637	Dic₅₉	—	4	1	no	—
638	Dic₅₉	—	4	1	no	—
639	#2810	—	59	1	no	—
640	#2726	—	59	1	no	—
641	#2726	—	59	1	no	—
642	#2726	—	59	1	no	—
643	#2585	—	59	1	no	—
644	#2585	—	59	1	no	—
645	#2585	—	59	1	no	—
646	#2585	—	59	1	no	—
647	#2585	—	59	1	no	—
648	#2585	—	59	1	no	—
649	#2478	—	59	1	no	—
650	#2478	—	59	1	no	—
651	#2478	—	59	1	no	—
652	#2478	—	59	1	no	—
653	#2478	—	59	1	no	—
654	#2478	D₅₉	1	1	yes	characteristic
655	#2475	—	59	1	no	—
656	#2475	—	59	1	no	—
657	#2475	—	59	1	no	—
658	#2475	—	59	1	no	—
659	#2475	—	59	1	no	—
660	#2475	—	59	1	no	—
661	#2370	—	59	1	no	—
662	#2370	—	59	1	no	—
663	#2370	—	59	1	no	—
664	#2370	—	59	1	no	—
665	#2370	—	59	1	no	—
666	#2370	—	59	1	no	—
667	#2296	—	59	1	no	—
668	#2296	—	59	1	no	—
669	#2296	—	59	1	no	—
670	C₂×C₅₉	—	4	2	no	—
671	C₂×C₅₉	#3482	1	1	yes	characteristic
672	C₂×C₅₉	#3482	1	1	yes	characteristic
673	C₂×C₅₉	#3482	1	1	yes	characteristic
674	C₂×C₅₉	#3492	1	1	yes	characteristic
675	C₂×C₅₉	#3492	1	1	yes	characteristic
676	C₂×C₅₉	#3492	1	1	yes	characteristic
677	C₂×C₅₉	#3556	1	1	yes	characteristic
678	C₂×#126	—	59	1	no	—
679	C₂×#126	C₂×D₅₉	1	1	yes	characteristic
680	C₂×#125	—	59	1	no	—
681	C₂×#125	—	59	1	no	—
682	C₂×#125	—	59	1	no	—
683	C₂×#125	—	59	1	no	—
684	C₂×#125	—	59	1	no	—
685	C₂×#125	—	59	1	no	—
686	C₂×#117	—	59	1	no	—
687	C₂×#117	—	59	1	no	—
688	C₂×#117	—	59	1	no	—
689	C₂×#117	—	59	1	no	—
690	C₂×#117	—	59	1	no	—
691	C₂×#117	C₂×D₅₉	1	1	yes	characteristic
692	C₂²×C₄²	—	59	1	no	—
693	#400	—	59	1	no	—
694	#400	—	59	1	no	—
695	#400	—	59	1	no	—
696	#400	—	59	1	no	—
697	#400	—	59	1	no	—
698	#400	—	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	—	59	1	no	—
709	#398	—	59	1	no	—
710	#398	—	59	1	no	—
711	#398	—	59	1	no	—
712	#398	—	59	1	no	—
713	#398	—	59	1	no	—
714	#398	—	59	1	no	—
715	#398	C₂×D₅₉	1	1	yes	characteristic
716	#398	C₂×D₅₉	1	1	yes	characteristic
717	#397	—	59	1	no	—
718	#397	—	59	1	no	—
719	#397	—	59	1	no	—
720	#397	—	59	1	no	—
721	#397	C₂×D₅₉	1	1	yes	characteristic
722	#397	C₂×D₅₉	1	1	yes	characteristic
723	#396	—	59	1	no	—
724	#396	—	59	1	no	—
725	#389	—	59	1	no	—
726	#389	—	59	1	no	—
727	#389	—	59	1	no	—
728	#389	—	59	1	no	—
729	#389	—	59	1	no	—
730	#389	—	59	1	no	—
731	#389	—	59	1	no	—
732	#389	—	59	1	no	—
733	#389	—	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	C₂×D₅₉	1	1	yes	characteristic
754	#389	C₂×D₅₉	1	1	yes	characteristic
755	#388	—	59	1	no	—
756	#388	—	59	1	no	—
757	#388	—	59	1	no	—
758	#388	—	59	1	no	—
759	#388	—	59	1	no	—
760	#388	C₂×D₅₉	1	1	yes	characteristic
761	#387	—	59	1	no	—
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	—	59	1	no	—
794	#387	C₂×D₅₉	1	1	yes	characteristic
795	#387	C₂×D₅₉	1	1	yes	characteristic
796	#387	C₂×D₅₉	1	1	yes	characteristic
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	—	59	1	no	—
803	#385	—	59	1	no	—
804	#385	—	59	1	no	—
805	#385	—	59	1	no	—
806	#385	—	59	1	no	—
807	#385	C₂×D₅₉	1	1	yes	characteristic
808	#385	C₂×D₅₉	1	1	yes	characteristic
809	C₄×C₄⋊C₄	—	59	1	no	—
810	C₄×C₄⋊C₄	—	59	1	no	—
811	C₄×C₄⋊C₄	—	59	1	no	—
812	C₄×C₄⋊C₄	—	59	1	no	—
813	C₄×C₄⋊C₄	—	59	1	no	—
814	C₄×C₄⋊C₄	—	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	—	59	1	no	—
821	C₄×C₄⋊C₄	—	59	1	no	—
822	C₄×C₄⋊C₄	—	59	1	no	—
823	C₄×C₄⋊C₄	—	59	1	no	—
824	C₄×C₄⋊C₄	—	59	1	no	—
825	C₄×C₄⋊C₄	—	59	1	no	—
826	C₄×C₄⋊C₄	—	59	1	no	—
827	C₄×C₄⋊C₄	—	59	1	no	—
828	C₄×C₄⋊C₄	—	59	1	no	—
829	C₄×C₄⋊C₄	—	59	1	no	—
830	C₄×C₄⋊C₄	—	59	1	no	—
831	C₄×C₄⋊C₄	—	59	1	no	—
832	C₄×C₄⋊C₄	C₂×D₅₉	1	1	yes	characteristic
833	C₅₉	#60049	1	1	yes	characteristic, complemented, Sylow
834	C₂³×C₄	—	59	1	no	—
835	C₂³×C₄	—	59	1	no	—
836	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
837	#126	—	4	2	no	—
838	#126	—	236	2	no	—
839	#125	—	118	4	no	—
840	#125	—	118	4	no	—
841	#125	—	118	4	no	—
842	#125	—	118	4	no	—
843	#125	—	118	4	no	—
844	#125	—	118	4	no	—
845	#117	—	4	2	no	—
846	#117	—	118	4	no	—
847	#117	—	118	4	no	—
848	#117	—	118	4	no	—
849	#117	—	236	2	no	—
850	#117	—	236	2	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	—	59	1	no	—
877	C₂×C₄⋊C₄	—	59	1	no	—
878	C₂×C₄⋊C₄	—	59	1	no	—
879	C₂×C₄⋊C₄	—	59	1	no	—
880	C₂×C₄⋊C₄	—	59	1	no	—
881	C₂×C₄⋊C₄	—	59	1	no	—
882	C₂×C₄⋊C₄	—	59	1	no	—
883	C₂×C₄⋊C₄	—	59	1	no	—
884	C₂×C₄⋊C₄	—	59	1	no	—
885	C₂×C₄⋊C₄	—	59	1	no	—
886	C₂×C₄⋊C₄	—	59	1	no	—
887	C₂×C₄⋊C₄	—	59	1	no	—
888	C₂×C₄⋊C₄	—	59	1	no	—
889	C₂×C₄⋊C₄	—	59	1	no	—
890	C₂×C₄⋊C₄	—	59	1	no	—
891	C₂×C₄⋊C₄	—	59	1	no	—
892	C₂×C₄⋊C₄	—	59	1	no	—
893	C₂×C₄⋊C₄	—	59	1	no	—
894	C₂×C₄⋊C₄	—	59	1	no	—
895	C₂×C₄⋊C₄	—	59	1	no	—
896	C₂×C₄⋊C₄	—	59	1	no	—
897	C₂×C₄⋊C₄	—	59	1	no	—
898	C₂×C₄⋊C₄	—	59	1	no	—
899	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	—	59	1	no	—
912	C₂×C₂²⋊C₄	—	59	1	no	—
913	C₂×C₂²⋊C₄	—	59	1	no	—
914	C₂×C₂²⋊C₄	—	59	1	no	—
915	C₂×C₂²⋊C₄	—	59	1	no	—
916	C₂×C₂²⋊C₄	—	59	1	no	—
917	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
921	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
923	C₂×C₄²	—	59	1	no	—
924	C₂×C₄²	—	59	1	no	—
925	C₂×C₄²	—	59	1	no	—
926	C₂×C₄²	—	59	1	no	—
927	C₂×C₄²	—	59	1	no	—
928	C₂×C₄²	—	59	1	no	—
929	C₂×C₄²	—	59	1	no	—
930	C₂×C₄²	—	59	1	no	—
931	C₂×C₄²	—	59	1	no	—
932	C₂×C₄²	—	59	1	no	—
933	C₂×C₄²	—	59	1	no	—
934	C₂×C₄²	—	59	1	no	—
935	C₂×C₄²	—	59	1	no	—
936	C₂×C₄²	—	59	1	no	—
937	C₂×C₄²	—	59	1	no	—
938	C₂×C₄²	—	59	1	no	—
939	C₂×C₄²	—	59	1	no	—
940	C₂×C₄²	—	59	1	no	—
941	C₂×C₄²	—	59	1	no	—
942	C₂×C₄²	—	59	1	no	—
943	C₂×C₄²	—	236	2	no	—
944	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
945	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
946	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
947	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
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	—	59	1	no	—
976	#95	—	59	1	no	—
977	#95	—	59	1	no	—
978	#95	—	59	1	no	—
979	#95	—	59	1	no	—
980	#95	—	59	1	no	—
981	#95	—	59	1	no	—
982	#95	—	59	1	no	—
983	#95	—	59	1	no	—
984	#95	—	59	1	no	—
985	#95	—	59	1	no	—
986	#95	—	59	1	no	—
987	#95	—	59	1	no	—
988	#95	—	59	1	no	—
989	#95	—	59	1	no	—
990	#95	—	59	1	no	—
991	#95	—	59	1	no	—
992	#95	C₂²×D₅₉	1	1	yes	characteristic
993	#95	C₂²×D₅₉	1	1	yes	characteristic
994	#95	C₂²×D₅₉	1	1	yes	characteristic
995	#95	C₂²×D₅₉	1	1	yes	characteristic
996	#95	C₂²×D₅₉	1	1	yes	characteristic
997	#95	C₂²×D₅₉	1	1	yes	characteristic
998	#95	C₂²×D₅₉	1	1	yes	characteristic
999	#95	C₂²×D₅₉	1	1	yes	characteristic
1000	#95	C₂²×D₅₉	1	1	yes	characteristic
1001	#95	C₂²×D₅₉	1	1	yes	characteristic
1002	#95	C₂²×D₅₉	1	1	yes	characteristic
1003	#95	C₂²×D₅₉	1	1	yes	characteristic
1004	C₂⁴	C₂³×D₅₉	1	1	yes	characteristic
1005	C₂²×C₄	—	2	2	no	—
1006	C₂²×C₄	—	2	2	no	—
1007	C₂²×C₄	—	2	2	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	—	59	1	no	—
1017	C₂²×C₄	—	59	1	no	—
1018	C₂²×C₄	—	59	1	no	—
1019	C₂²×C₄	—	59	1	no	—
1020	C₂²×C₄	—	59	1	no	—
1021	C₂²×C₄	—	59	1	no	—
1022	C₂²×C₄	—	59	1	no	—
1023	C₂²×C₄	—	59	1	no	—
1024	C₂²×C₄	—	118	2	no	—
1025	C₂²×C₄	—	118	2	no	—
1026	C₂²×C₄	—	118	2	no	—
1027	C₂²×C₄	—	118	2	no	—
1028	C₂²×C₄	—	118	2	no	—
1029	C₂²×C₄	—	118	2	no	—
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	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	4	1	no	—
1052	C₄⋊C₄	—	4	1	no	—
1053	C₄⋊C₄	—	4	1	no	—
1054	C₄⋊C₄	—	4	1	no	—
1055	C₄⋊C₄	—	4	1	no	—
1056	C₄⋊C₄	—	59	4	no	—
1057	C₄⋊C₄	—	59	4	no	—
1058	C₄⋊C₄	—	59	4	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	—	118	2	no	—
1066	C₄⋊C₄	—	118	2	no	—
1067	C₄⋊C₄	—	118	2	no	—
1068	C₄⋊C₄	—	118	2	no	—
1069	C₄⋊C₄	—	118	2	no	—
1070	C₄⋊C₄	—	118	2	no	—
1071	C₄⋊C₄	—	118	2	no	—
1072	C₄⋊C₄	—	118	2	no	—
1073	C₄⋊C₄	—	118	2	no	—
1074	C₄⋊C₄	—	118	2	no	—
1075	C₄⋊C₄	—	118	2	no	—
1076	C₄⋊C₄	—	118	2	no	—
1077	C₄⋊C₄	—	118	2	no	—
1078	C₄⋊C₄	—	118	2	no	—
1079	C₄⋊C₄	—	118	2	no	—
1080	C₄⋊C₄	—	118	2	no	—
1081	C₄⋊C₄	—	118	2	no	—
1082	C₄⋊C₄	—	118	2	no	—
1083	C₄⋊C₄	—	118	2	no	—
1084	C₄⋊C₄	—	118	2	no	—
1085	C₄⋊C₄	—	118	2	no	—
1086	C₄⋊C₄	—	118	2	no	—
1087	C₄⋊C₄	—	118	2	no	—
1088	C₄⋊C₄	—	118	2	no	—
1089	C₄⋊C₄	—	118	2	no	—
1090	C₄⋊C₄	—	118	2	no	—
1091	C₄⋊C₄	—	118	2	no	—
1092	C₄⋊C₄	—	118	2	no	—
1093	C₄⋊C₄	—	118	2	no	—
1094	C₄⋊C₄	—	118	2	no	—
1095	C₄⋊C₄	—	118	2	no	—
1096	C₄⋊C₄	—	118	2	no	—
1097	C₄⋊C₄	—	236	1	no	—
1098	C₄⋊C₄	—	236	1	no	—
1099	C₄⋊C₄	—	236	1	no	—
1100	C₄⋊C₄	—	236	1	no	—
1101	C₄⋊C₄	—	236	1	no	—
1102	C₄⋊C₄	—	236	1	no	—
1103	C₄⋊C₄	—	236	1	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	2	2	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	118	2	no	—
1111	C₂²⋊C₄	—	118	2	no	—
1112	C₂²⋊C₄	—	118	2	no	—
1113	C₂²⋊C₄	—	118	2	no	—
1114	C₂²⋊C₄	—	118	2	no	—
1115	C₂²⋊C₄	—	118	2	no	—
1116	C₄²	—	2	2	no	—
1117	C₄²	—	4	1	no	—
1118	C₄²	—	4	1	no	—
1119	C₄²	—	4	1	no	—
1120	C₄²	—	118	2	no	—
1121	C₄²	—	118	2	no	—
1122	C₄²	—	118	2	no	—
1123	C₄²	—	118	2	no	—
1124	C₄²	—	118	2	no	—
1125	C₄²	—	118	2	no	—
1126	C₄²	—	118	2	no	—
1127	C₄²	—	118	2	no	—
1128	C₄²	—	118	2	no	—
1129	C₄²	—	118	2	no	—
1130	C₄²	—	118	2	no	—
1131	C₄²	—	236	1	no	—
1132	C₄²	—	236	1	no	—
1133	C₄²	—	236	1	no	—
1134	C₄²	—	236	1	no	—
1135	C₄²	—	236	1	no	—
1136	C₄²	—	236	1	no	—
1137	C₄²	—	236	1	no	—
1138	C₄²	—	236	1	no	—
1139	C₄²	—	236	1	no	—
1140	C₂³	—	2	1	no	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	#14273772	1	2	yes	—
1147	C₂³	C₂⁴×D₅₉	1	1	yes	characteristic
1148	C₂×C₄	—	2	8	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	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	59	2	no	—
1188	C₂×C₄	—	59	2	no	—
1189	C₂×C₄	—	59	2	no	—
1190	C₂×C₄	—	59	2	no	—
1191	C₂×C₄	—	59	2	no	—
1192	C₂×C₄	—	59	2	no	—
1193	C₂×C₄	—	59	2	no	—
1194	C₂×C₄	—	59	2	no	—
1195	C₂×C₄	—	118	8	no	—
1196	C₂×C₄	—	118	8	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	—	118	1	no	—
1216	C₂×C₄	—	118	1	no	—
1217	C₂×C₄	—	118	1	no	—
1218	C₂×C₄	—	118	1	no	—
1219	C₂×C₄	—	118	1	no	—
1220	C₂×C₄	—	118	1	no	—
1221	C₂×C₄	—	118	1	no	—
1222	C₂×C₄	—	118	1	no	—
1223	C₂×C₄	—	118	1	no	—
1224	C₂×C₄	—	118	1	no	—
1225	C₂×C₄	—	118	1	no	—
1226	C₂×C₄	—	118	1	no	—
1227	C₂×C₄	—	118	1	no	—
1228	C₂×C₄	—	118	1	no	—
1229	C₂×C₄	—	118	1	no	—
1230	C₂×C₄	—	118	1	no	—
1231	C₂×C₄	—	118	1	no	—
1232	C₂×C₄	—	118	1	no	—
1233	C₂×C₄	—	118	1	no	—
1234	C₂×C₄	—	118	1	no	—
1235	C₂×C₄	—	118	1	no	—
1236	C₂×C₄	—	118	1	no	—
1237	C₂×C₄	#41×D₅₉	1	2	yes	—
1238	C₂×C₄	#41×D₅₉	1	2	yes	—
1239	C₂×C₄	#41×D₅₉	1	2	yes	—
1240	C₂×C₄	#14273774	1	2	yes	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	C₂×#41×D₅₉	1	1	yes	characteristic
1249	C₂²	C₂×#41×D₅₉	1	1	yes	characteristic
1250	C₂²	C₂×#41×D₅₉	1	1	yes	characteristic
1251	C₂²	C₂×#14273772	1	1	yes	characteristic
1252	C₂²	2₋¹⁺⁴×D₅₉	1	1	yes	characteristic
1253	C₂²	2₋¹⁺⁴×D₅₉	1	1	yes	characteristic
1254	C₂²	C₂×#14273774	1	1	yes	characteristic
1255	C₄	—	2	2	no	—
1256	C₄	—	2	2	no	—
1257	C₄	—	2	2	no	—
1258	C₄	—	2	2	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	118	2	no	—
1270	C₄	—	118	2	no	—
1271	C₄	—	118	2	no	—
1272	C₄	—	118	2	no	—
1273	C₄	—	118	2	no	—
1274	C₄	—	118	2	no	—
1275	C₄	—	118	2	no	—
1276	C₄	—	118	2	no	—
1277	C₄	—	236	1	no	—
1278	C₄	—	236	1	no	—
1279	C₄	—	236	1	no	—
1280	C₄	—	236	1	no	—
1281	C₄	—	236	1	no	—
1282	C₄	—	236	1	no	—
1283	C₄	—	236	1	no	—
1284	C₄	—	236	1	no	—
1285	C₂	—	4	2	no	—
1286	C₂	#21437709	1	1	yes	characteristic
1287	C₂	#21437710	1	1	yes	characteristic
1288	C₂	#21437715	1	1	yes	characteristic
1289	C₂	#21437797	1	1	yes	characteristic
1290	C₂	#21437798	1	1	yes	characteristic
1291	C₂	#21437798	1	1	yes	characteristic
1292	C₂	#21438589	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	#60049
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
1. #21432086	C₂	semidirect
2. #21431051	C₂	semidirect
3. #21431049	C₂	semidirect
4. #21431044	C₂	semidirect
5. #21429500	C₂	semidirect
6. #21429499	C₂	semidirect
7. #21429498	C₂	semidirect
8. #21429496	C₂	semidirect
9. #21429491	C₂	semidirect
10. #21429486	C₂	semidirect
22. #21427197	C₂	semidirect
23. #21427195	C₂	semidirect
24. #21427193	C₂	semidirect
25. #21427192	C₂	semidirect
26. #21427187	C₂	semidirect
27. #21427187	C₂	semidirect
833. C₅₉	#60049	semidirect

Maximal subgroups

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

subgroup	index
#21432086	2
#21431051	2
#21431049	2
#21431044	2
#21429500	2
#21429499	2
#21429498	2
#21429496	2
#21429491	2
#21429486	2
#21428308	2
#21428307	2
#21428306	2
#21428305	2
#21428273	2
#21428271	2
#21428268	2
#21428266	2
#21428264	2
#21427197	2
#21427195	2
#21427193	2
#21427192	2
#21427187	2
#21426578	2
#21426575	2
C₅₉×#2478	2
#60049	59