Subgroups — #28795853

Order 15104.

1854 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21432384	C₂	1	1	yes	maximal, characteristic
2	#21432382	C₂	1	1	yes	maximal, characteristic
3	#21431300	C₂	1	1	yes	maximal, characteristic, complemented
4	#21431295	C₂	1	1	yes	maximal, characteristic, complemented
5	#21431288	C₂	1	1	yes	maximal, characteristic, complemented
6	#21431007	C₂	1	1	yes	maximal, characteristic, complemented
7	#21431006	C₂	1	1	yes	maximal, characteristic, complemented
8	#21431006	C₂	1	1	yes	maximal, characteristic, complemented
9	#21431005	C₂	1	1	yes	maximal, characteristic, complemented
10	#21430758	C₂	1	1	yes	maximal, characteristic, complemented
11	#21430755	C₂	1	1	yes	maximal, characteristic, complemented
12	#21430754	C₂	1	1	yes	maximal, characteristic, complemented
13	#21430751	C₂	1	1	yes	maximal, characteristic, complemented
14	#21430569	C₂	1	1	yes	maximal, characteristic, complemented
15	#21430565	C₂	1	1	yes	maximal, characteristic, complemented
16	#21430564	C₂	1	1	yes	maximal, characteristic, complemented
17	#21430560	C₂	1	1	yes	maximal, characteristic, complemented
18	#21430211	C₂	1	1	yes	maximal, characteristic, complemented
19	#21430067	C₂	1	1	yes	maximal, characteristic, complemented
20	#21428348	C₂	1	1	yes	maximal, characteristic
21	#21428346	C₂	1	1	yes	maximal, characteristic
22	#21428343	C₂	1	1	yes	maximal, characteristic
23	#21428343	C₂	1	1	yes	maximal, characteristic
24	#21428241	C₂	1	1	yes	maximal, characteristic, complemented
25	#21428240	C₂	1	1	yes	maximal, characteristic, complemented
26	#21428235	C₂	1	1	yes	maximal, characteristic, complemented
27	#21428232	C₂	1	1	yes	maximal, characteristic, complemented
28	#21426825	C₂	1	1	yes	maximal, characteristic, complemented
29	#21426823	C₂	1	1	yes	maximal, characteristic, complemented
30	#380×D₅₉	C₂	1	1	yes	maximal, characteristic
31	C₅₉×#2747	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₅₉	C₂²	1	1	yes	characteristic
33	C₂×#14273722	C₂²	1	1	yes	characteristic
34	C₂×#14273722	C₂²	1	1	yes	characteristic
35	C₂×#14273722	C₂²	1	1	yes	characteristic
36	C₂×#14273721	C₂²	1	1	yes	characteristic
37	C₂×#14273719	C₂²	1	1	yes	characteristic, complemented
38	C₂×#14273718	C₂²	1	1	yes	characteristic, complemented
39	C₂×#14273718	C₂²	1	1	yes	characteristic, complemented
40	C₂×#14273717	C₂²	1	1	yes	characteristic, complemented
41	C₂×#14273707	C₂²	1	1	yes	characteristic
42	C₂×#14273707	C₂²	1	1	yes	characteristic
43	C₂×#14273706	C₂²	1	1	yes	characteristic
44	C₂×#14273705	C₂²	1	1	yes	characteristic
45	C₂×#14273705	C₂²	1	1	yes	characteristic
46	C₂×#14273704	C₂²	1	1	yes	characteristic
47	C₂×C₄⋊C₄×D₅₉	C₂²	1	1	yes	characteristic
48	C₂×C₄⋊C₄×D₅₉	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×D₅₉	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊C₄×D₅₉	C₂²	1	1	yes	characteristic
51	#16837344	C₂²	1	1	yes	characteristic, complemented
52	#16837344	C₂²	1	1	yes	characteristic, complemented
53	#16837343	C₂²	1	1	yes	characteristic, complemented
54	#16837342	C₂²	1	1	yes	characteristic, complemented
55	#16837342	C₂²	1	1	yes	characteristic, complemented
56	#16837341	C₂²	1	1	yes	characteristic, complemented
57	#16837336	C₂²	1	1	yes	characteristic, complemented
58	#16837336	C₂²	1	1	yes	characteristic, complemented
59	#16837336	C₂²	1	1	yes	characteristic, complemented
60	#16837336	C₂²	1	1	yes	characteristic, complemented
61	#16837336	C₂²	1	1	yes	characteristic, complemented
62	#16837335	C₂²	1	1	yes	characteristic, complemented
63	#16837335	C₂²	1	1	yes	characteristic, complemented
64	#16837335	C₂²	1	1	yes	characteristic, complemented
65	#16837335	C₂²	1	1	yes	characteristic, complemented
66	#16837335	C₂²	1	1	yes	characteristic, complemented
67	#16837334	C₂²	1	1	yes	characteristic, complemented
68	#16837334	C₂²	1	1	yes	characteristic, complemented
69	#16837334	C₂²	1	1	yes	characteristic, complemented
70	#16837334	C₂²	1	1	yes	characteristic, complemented
71	#16837333	C₂²	1	1	yes	characteristic, complemented
72	#16837333	C₂²	1	1	yes	characteristic, complemented
73	#16837332	C₂²	1	1	yes	characteristic, complemented
74	#16837332	C₂²	1	1	yes	characteristic, complemented
75	#16837331	C₂²	1	1	yes	characteristic
76	#16837331	C₂²	1	1	yes	characteristic
77	#16837331	C₂²	1	1	yes	characteristic
78	#16837331	C₂²	1	1	yes	characteristic
79	#16837330	C₂²	1	1	yes	characteristic
80	#16837330	C₂²	1	1	yes	characteristic
81	#16837329	C₂²	1	1	yes	characteristic
82	#16837329	C₂²	1	1	yes	characteristic
83	#16837329	C₂²	1	1	yes	characteristic
84	#16837328	C₂²	1	1	yes	characteristic
85	#16837325	C₂²	1	1	yes	characteristic
86	#16837325	C₂²	1	1	yes	characteristic
87	#16837325	C₂²	1	1	yes	characteristic
88	#16837325	C₂²	1	1	yes	characteristic
89	#16837323	C₂²	1	1	yes	characteristic, complemented
90	#16837323	C₂²	1	1	yes	characteristic, complemented
91	#16837323	C₂²	1	1	yes	characteristic, complemented
92	#16837322	C₂²	1	1	yes	characteristic, complemented
93	#16837308	C₂²	1	1	yes	characteristic, complemented
94	#16837306	C₂²	1	1	yes	characteristic, complemented
95	#16837306	C₂²	1	1	yes	characteristic, complemented
96	#16837306	C₂²	1	1	yes	characteristic, complemented
97	#16837301	C₂²	1	1	yes	characteristic, complemented
98	#16837300	C₂²	1	1	yes	characteristic, complemented
99	#16837300	C₂²	1	1	yes	characteristic, complemented
100	#16837299	C₂²	1	1	yes	characteristic, complemented
101	#16837299	C₂²	1	1	yes	characteristic, complemented
102	#16837299	C₂²	1	1	yes	characteristic, complemented
103	#16837298	C₂²	1	1	yes	characteristic, complemented
104	#16837297	C₂²	1	1	yes	characteristic, complemented
105	#16837296	C₂²	1	1	yes	characteristic
106	#16837295	C₂²	1	1	yes	characteristic
107	#16837295	C₂²	1	1	yes	characteristic
108	#16837295	C₂²	1	1	yes	characteristic
109	#16837295	C₂²	1	1	yes	characteristic
110	#16837294	C₂²	1	1	yes	characteristic
111	#16837294	C₂²	1	1	yes	characteristic
112	#16837293	C₂²	1	1	yes	characteristic
113	#16837291	C₂²	1	1	yes	characteristic
114	#16837290	C₂²	1	1	yes	characteristic
115	#16837289	C₂²	1	1	yes	characteristic, complemented
116	#16837289	C₂²	1	1	yes	characteristic, complemented
117	#16837288	C₂²	1	1	yes	characteristic, complemented
118	#16837287	C₂²	1	1	yes	characteristic, complemented
119	#16837287	C₂²	1	1	yes	characteristic, complemented
120	#16837287	C₂²	1	1	yes	characteristic, complemented
121	#16837285	C₂²	1	1	yes	characteristic, complemented
122	#16837285	C₂²	1	1	yes	characteristic, complemented
123	#16837284	C₂²	1	1	yes	characteristic, complemented
124	#16837284	C₂²	1	1	yes	characteristic, complemented
125	#16837283	C₂²	1	1	yes	characteristic, complemented
126	#16837283	C₂²	1	1	yes	characteristic, complemented
127	#16837277	C₂²	1	1	yes	characteristic
128	#16837277	C₂²	1	1	yes	characteristic
129	#16837276	C₂²	1	1	yes	characteristic
130	#16837276	C₂²	1	1	yes	characteristic
131	#16837276	C₂²	1	1	yes	characteristic
132	#16837276	C₂²	1	1	yes	characteristic
133	#16837276	C₂²	1	1	yes	characteristic
134	#16837276	C₂²	1	1	yes	characteristic
135	#16837276	C₂²	1	1	yes	characteristic
136	#16837276	C₂²	1	1	yes	characteristic
137	#16837276	C₂²	1	1	yes	characteristic
138	#16837276	C₂²	1	1	yes	characteristic
139	#16837276	C₂²	1	1	yes	characteristic
140	#16837276	C₂²	1	1	yes	characteristic
141	#16837275	C₂²	1	1	yes	characteristic
142	#16837273	C₂²	1	1	yes	characteristic
143	#16837273	C₂²	1	1	yes	characteristic
144	#16837273	C₂²	1	1	yes	characteristic
145	#16837273	C₂²	1	1	yes	characteristic
146	#16837262	C₂²	1	1	yes	characteristic
147	#16837261	C₂²	1	1	yes	characteristic
148	#16837261	C₂²	1	1	yes	characteristic
149	#16837261	C₂²	1	1	yes	characteristic
150	#16837261	C₂²	1	1	yes	characteristic
151	#16837261	C₂²	1	1	yes	characteristic
152	#16837261	C₂²	1	1	yes	characteristic
153	#16837260	C₂²	1	1	yes	characteristic
154	#16837260	C₂²	1	1	yes	characteristic
155	#16837260	C₂²	1	1	yes	characteristic
156	#16837259	C₂²	1	1	yes	characteristic
157	#16837259	C₂²	1	1	yes	characteristic
158	#16837259	C₂²	1	1	yes	characteristic
159	#16837259	C₂²	1	1	yes	characteristic
160	#16837259	C₂²	1	1	yes	characteristic
161	#16837259	C₂²	1	1	yes	characteristic
162	#16837257	C₂²	1	1	yes	characteristic
163	#16837257	C₂²	1	1	yes	characteristic
164	#16837257	C₂²	1	1	yes	characteristic
165	#16837257	C₂²	1	1	yes	characteristic
166	C₄×(C₂×D₅₉)⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×(C₂×D₅₉)⋊C₄	C₂²	1	1	yes	characteristic
168	#16837249	C₂²	1	1	yes	characteristic
169	#16837249	C₂²	1	1	yes	characteristic
170	#95×D₅₉	C₂²	1	1	yes	characteristic
171	#95×D₅₉	C₂²	1	1	yes	characteristic
172	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
173	C₅₉×#400	C₂²	1	1	yes	characteristic, complemented
174	C₅₉×#398	C₂²	1	1	yes	characteristic, complemented
175	C₅₉×#398	C₂²	1	1	yes	characteristic, complemented
176	C₅₉×#397	C₂²	1	1	yes	characteristic
177	C₅₉×#397	C₂²	1	1	yes	characteristic
178	C₅₉×#388	C₂²	1	1	yes	characteristic
179	C₅₉×#388	C₂²	1	1	yes	characteristic
180	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
181	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
182	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
183	C₅₉×#387	C₂²	1	1	yes	characteristic, complemented
184	C₅₉×#385	C₂²	1	1	yes	characteristic
185	C₅₉×#380	C₂²	1	1	yes	characteristic
186	C₅₉×#380	C₂²	1	1	yes	characteristic
187	C₂⁴×D₅₉	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	C₂²×C₄×D₅₉	—	2	4	no	—
192	C₂²×C₄×D₅₉	—	4	2	no	—
193	C₂²×C₄×D₅₉	—	4	2	no	—
194	C₂²×C₄×D₅₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₅₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₅₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₅₉	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₅₉	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅₉	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₅₉	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅₉	C₂³	1	1	yes	characteristic
202	#14273722	—	4	2	no	—
203	#14273722	—	4	2	no	—
204	#14273722	—	4	2	no	—
205	#14273721	—	4	2	no	—
206	#14273719	—	4	2	no	—
207	#14273718	—	4	2	no	—
208	#14273718	—	4	2	no	—
209	#14273717	—	4	2	no	—
210	#14273707	—	2	4	no	—
211	#14273707	—	4	2	no	—
212	#14273706	—	4	2	no	—
213	#14273705	—	2	4	no	—
214	#14273705	—	4	2	no	—
215	#14273704	—	4	2	no	—
216	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₅₉	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×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₅₉⋊C₄	C₂³	1	1	yes	characteristic
256	C₄⋊C₄×D₅₉	—	4	2	no	—
257	C₄⋊C₄×D₅₉	—	4	2	no	—
258	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₅₉	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₅₉)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂²⋊C₄×D₅₉	—	4	2	no	—
285	C₂²⋊C₄×D₅₉	—	4	2	no	—
286	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₅₉	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₅₉	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	C₅₉⋊#95	C₂³	1	1	yes	characteristic
321	C₅₉⋊#95	C₂³	1	1	yes	characteristic
322	C₅₉⋊#95	C₂³	1	1	yes	characteristic
323	C₅₉⋊#95	C₂³	1	1	yes	characteristic
324	C₅₉⋊#95	C₂³	1	1	yes	characteristic
325	C₅₉⋊#95	C₂³	1	1	yes	characteristic
326	C₅₉⋊#95	C₂³	1	1	yes	characteristic
327	C₅₉⋊#95	C₂³	1	1	yes	characteristic
328	C₂³×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×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊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×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
346	C₂×C₄²×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	#95×C₅₉	C₂³	1	1	yes	characteristic
358	#95×C₅₉	C₂³	1	1	yes	characteristic
359	#95×C₅₉	C₂³	1	1	yes	characteristic
360	#95×C₅₉	C₂³	1	1	yes	characteristic
361	#95×C₅₉	C₂³	1	1	yes	characteristic
362	#95×C₅₉	C₂³	1	1	yes	characteristic
363	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
364	C₂³×D₅₉	—	2	2	no	—
365	C₂³×D₅₉	—	2	2	no	—
366	C₂³×D₅₉	—	2	2	no	—
367	C₂³×D₅₉	—	2	2	no	—
368	C₂³×D₅₉	—	2	2	no	—
369	C₂³×D₅₉	—	4	1	no	—
370	C₂³×D₅₉	—	4	1	no	—
371	C₂³×D₅₉	C₂⁴	1	1	yes	characteristic
372	C₂³×D₅₉	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₅₉	—	2	2	no	—
374	C₂²×C₄×C₅₉	—	2	2	no	—
375	C₂²×C₄×C₅₉	—	4	1	no	—
376	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₅₉	—	2	2	no	—
391	C₂²×Dic₅₉	—	2	2	no	—
392	C₂²×Dic₅₉	—	4	1	no	—
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	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₅₉	C₂⁴	1	1	yes	characteristic
407	C₂×C₄×D₅₉	—	2	2	no	—
408	C₂×C₄×D₅₉	—	2	2	no	—
409	C₂×C₄×D₅₉	—	2	2	no	—
410	C₂×C₄×D₅₉	—	2	2	no	—
411	C₂×C₄×D₅₉	—	2	2	no	—
412	C₂×C₄×D₅₉	—	2	2	no	—
413	C₂×C₄×D₅₉	—	2	2	no	—
414	C₂×C₄×D₅₉	—	2	2	no	—
415	C₂×C₄×D₅₉	—	2	2	no	—
416	C₂×C₄×D₅₉	—	2	2	no	—
417	C₂×C₄×D₅₉	—	2	2	no	—
418	C₂×C₄×D₅₉	—	4	16	no	—
419	C₂×C₄×D₅₉	—	4	1	no	—
420	C₂×C₄×D₅₉	—	4	1	no	—
421	C₂×C₄×D₅₉	—	4	1	no	—
422	C₂×C₄×D₅₉	—	4	1	no	—
423	C₂×C₄×D₅₉	—	4	1	no	—
424	C₂×C₄×D₅₉	—	4	1	no	—
425	C₂×C₄×D₅₉	—	4	1	no	—
426	C₂×C₄×D₅₉	—	4	1	no	—
427	C₂×C₄×D₅₉	—	4	1	no	—
428	C₂×C₄×D₅₉	—	4	1	no	—
429	C₂×C₄×D₅₉	—	4	1	no	—
430	C₂×C₄×D₅₉	—	4	1	no	—
431	C₂×C₄×D₅₉	#41	1	4	yes	—
432	C₂×Dic₁₁₈	—	2	2	no	—
433	C₂×Dic₁₁₈	—	2	2	no	—
434	C₂×Dic₁₁₈	—	4	1	no	—
435	C₂×Dic₁₁₈	—	4	1	no	—
436	C₂×Dic₁₁₈	—	4	1	no	—
437	C₂×Dic₁₁₈	—	4	1	no	—
438	C₄⋊C₄×C₅₉	—	2	2	no	—
439	C₄⋊C₄×C₅₉	—	2	2	no	—
440	C₄⋊C₄×C₅₉	—	2	2	no	—
441	C₄⋊C₄×C₅₉	—	2	2	no	—
442	C₄⋊C₄×C₅₉	—	4	1	no	—
443	C₄⋊C₄×C₅₉	—	4	1	no	—
444	C₄⋊C₄×C₅₉	—	4	1	no	—
445	C₄⋊C₄×C₅₉	—	4	1	no	—
446	C₄⋊C₄×C₅₉	—	4	1	no	—
447	C₄⋊C₄×C₅₉	—	4	1	no	—
448	C₂²⋊C₄×C₅₉	—	2	2	no	—
449	C₂²⋊C₄×C₅₉	—	2	2	no	—
450	C₂²⋊C₄×C₅₉	—	2	2	no	—
451	C₂²⋊C₄×C₅₉	—	4	1	no	—
452	C₂²⋊C₄×C₅₉	—	4	1	no	—
453	C₂²⋊C₄×C₅₉	—	4	1	no	—
454	C₄²×C₅₉	—	4	1	no	—
455	C₄²×C₅₉	—	4	1	no	—
456	C₂²⋊Dic₅₉	—	2	2	no	—
457	C₂²⋊Dic₅₉	—	4	1	no	—
458	C₂²⋊Dic₅₉	—	4	1	no	—
459	C₂²⋊Dic₅₉	—	4	1	no	—
460	C₂²⋊Dic₅₉	—	4	1	no	—
461	C₂²⋊Dic₅₉	—	4	1	no	—
462	(C₂×D₅₉)⋊C₄	—	2	2	no	—
463	(C₂×D₅₉)⋊C₄	—	2	2	no	—
464	(C₂×D₅₉)⋊C₄	—	2	2	no	—
465	(C₂×D₅₉)⋊C₄	—	2	2	no	—
466	(C₂×D₅₉)⋊C₄	—	2	2	no	—
467	(C₂×D₅₉)⋊C₄	—	2	2	no	—
468	(C₂×D₅₉)⋊C₄	—	2	2	no	—
469	(C₂×D₅₉)⋊C₄	—	2	2	no	—
470	(C₂×D₅₉)⋊C₄	—	2	2	no	—
471	(C₂×D₅₉)⋊C₄	—	2	2	no	—
472	(C₂×D₅₉)⋊C₄	—	2	2	no	—
473	(C₂×D₅₉)⋊C₄	—	2	2	no	—
474	(C₂×D₅₉)⋊C₄	—	2	2	no	—
475	(C₂×D₅₉)⋊C₄	—	2	2	no	—
476	(C₂×D₅₉)⋊C₄	—	2	2	no	—
477	(C₂×D₅₉)⋊C₄	—	2	2	no	—
478	(C₂×D₅₉)⋊C₄	—	4	1	no	—
479	(C₂×D₅₉)⋊C₄	—	4	1	no	—
480	(C₂×D₅₉)⋊C₄	—	4	1	no	—
481	(C₂×D₅₉)⋊C₄	—	4	1	no	—
482	C₄⋊Dic₅₉	—	2	2	no	—
483	C₄⋊Dic₅₉	—	2	2	no	—
484	C₄⋊Dic₅₉	—	2	2	no	—
485	C₄⋊Dic₅₉	—	2	2	no	—
486	C₄⋊Dic₅₉	—	2	2	no	—
487	C₄⋊Dic₅₉	—	2	2	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	C₄⋊Dic₅₉	—	4	1	no	—
494	C₄⋊Dic₅₉	—	4	1	no	—
495	C₄⋊Dic₅₉	—	4	1	no	—
496	C₄⋊Dic₅₉	—	4	1	no	—
497	C₄⋊Dic₅₉	—	4	1	no	—
498	Dic₅₉⋊C₄	—	2	2	no	—
499	Dic₅₉⋊C₄	—	2	2	no	—
500	Dic₅₉⋊C₄	—	2	2	no	—
501	Dic₅₉⋊C₄	—	2	2	no	—
502	Dic₅₉⋊C₄	—	2	2	no	—
503	Dic₅₉⋊C₄	—	2	2	no	—
504	Dic₅₉⋊C₄	—	2	2	no	—
505	Dic₅₉⋊C₄	—	2	2	no	—
506	Dic₅₉⋊C₄	—	4	1	no	—
507	Dic₅₉⋊C₄	—	4	1	no	—
508	Dic₅₉⋊C₄	—	4	1	no	—
509	Dic₅₉⋊C₄	—	4	1	no	—
510	Dic₅₉⋊C₄	—	4	1	no	—
511	Dic₅₉⋊C₄	—	4	1	no	—
512	Dic₅₉⋊C₄	—	4	1	no	—
513	Dic₅₉⋊C₄	—	4	1	no	—
514	Dic₅₉⋊C₄	—	4	1	no	—
515	Dic₅₉⋊C₄	—	4	1	no	—
516	Dic₅₉⋊C₄	—	4	1	no	—
517	Dic₅₉⋊C₄	—	4	1	no	—
518	Dic₅₉⋊C₄	—	4	1	no	—
519	Dic₅₉⋊C₄	—	4	1	no	—
520	Dic₅₉⋊C₄	—	4	1	no	—
521	Dic₅₉⋊C₄	—	4	1	no	—
522	C₄×Dic₅₉	—	4	1	no	—
523	C₄×Dic₅₉	—	4	1	no	—
524	C₄×Dic₅₉	—	4	1	no	—
525	C₄×Dic₅₉	—	4	1	no	—
526	C₄×Dic₅₉	—	4	1	no	—
527	C₄×Dic₅₉	—	4	1	no	—
528	C₂³×C₅₉	—	2	1	no	—
529	C₂³×C₅₉	—	2	1	no	—
530	C₂³×C₅₉	—	2	1	no	—
531	C₂³×C₅₉	—	2	1	no	—
532	C₂³×C₅₉	—	2	1	no	—
533	C₂³×C₅₉	—	2	1	no	—
534	C₂³×C₅₉	2₋¹⁺⁴	1	2	yes	—
535	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
536	C₂²×D₅₉	—	2	1	no	—
537	C₂²×D₅₉	—	2	1	no	—
538	C₂²×D₅₉	—	2	1	no	—
539	C₂²×D₅₉	—	2	1	no	—
540	C₂²×D₅₉	—	2	8	no	—
541	C₂²×D₅₉	—	2	1	no	—
542	C₂²×D₅₉	—	2	1	no	—
543	C₂²×D₅₉	—	2	1	no	—
544	C₂²×D₅₉	—	2	1	no	—
545	C₂²×D₅₉	—	2	1	no	—
546	C₂²×D₅₉	—	2	1	no	—
547	C₂²×D₅₉	—	4	4	no	—
548	C₂²×D₅₉	—	4	4	no	—
549	C₂²×D₅₉	—	4	4	no	—
550	C₂²×D₅₉	—	4	4	no	—
551	C₂²×D₅₉	—	4	4	no	—
552	C₂²×D₅₉	—	4	4	no	—
553	C₂²×D₅₉	C₂×#41	1	2	yes	—
554	C₂²×D₅₉	H(5,𝔽₂)	1	2	yes	—
555	C₂²×D₅₉	2₋¹⁺⁴	1	2	yes	—
556	C₂²×D₅₉	2₋¹⁺⁴	1	2	yes	—
557	C₂×C₄×C₅₉	—	2	1	no	—
558	C₂×C₄×C₅₉	—	2	1	no	—
559	C₂×C₄×C₅₉	—	2	1	no	—
560	C₂×C₄×C₅₉	—	2	1	no	—
561	C₂×C₄×C₅₉	—	2	1	no	—
562	C₂×C₄×C₅₉	—	2	1	no	—
563	C₂×C₄×C₅₉	—	2	1	no	—
564	C₂×C₄×C₅₉	—	2	1	no	—
565	C₂×C₄×C₅₉	—	2	1	no	—
566	C₂×C₄×C₅₉	—	2	1	no	—
567	C₂×C₄×C₅₉	—	2	1	no	—
568	C₂×C₄×C₅₉	—	2	1	no	—
569	C₂×C₄×C₅₉	—	2	1	no	—
570	C₂×C₄×C₅₉	—	2	1	no	—
571	C₂×C₄×C₅₉	—	2	1	no	—
572	C₂×C₄×C₅₉	—	2	1	no	—
573	C₂×C₄×C₅₉	—	2	1	no	—
574	C₂×C₄×C₅₉	—	2	1	no	—
575	C₂×C₄×C₅₉	—	2	1	no	—
576	C₂×C₄×C₅₉	—	2	1	no	—
577	C₂×C₄×C₅₉	—	2	1	no	—
578	C₂×C₄×C₅₉	—	2	1	no	—
579	C₂×C₄×C₅₉	—	2	1	no	—
580	C₂×C₄×C₅₉	—	2	1	no	—
581	C₂×C₄×C₅₉	—	2	1	no	—
582	C₂×C₄×C₅₉	—	2	1	no	—
583	C₂×C₄×C₅₉	—	2	1	no	—
584	C₂×C₄×C₅₉	—	2	1	no	—
585	C₂×C₄×C₅₉	—	2	1	no	—
586	C₂×C₄×C₅₉	—	2	1	no	—
587	C₂×C₄×C₅₉	—	2	1	no	—
588	C₂×C₄×C₅₉	—	2	1	no	—
589	C₂×C₄×C₅₉	—	2	1	no	—
590	C₂×C₄×C₅₉	—	2	1	no	—
591	C₂×C₄×C₅₉	—	2	1	no	—
592	C₂×C₄×C₅₉	—	2	1	no	—
593	C₂×C₄×C₅₉	—	2	1	no	—
594	C₂×C₄×C₅₉	—	2	1	no	—
595	C₂×C₄×C₅₉	—	2	1	no	—
596	C₂×C₄×C₅₉	—	2	1	no	—
597	C₂×C₄×C₅₉	—	4	4	no	—
598	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
599	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
600	C₂×Dic₅₉	—	2	1	no	—
601	C₂×Dic₅₉	—	2	1	no	—
602	C₂×Dic₅₉	—	2	1	no	—
603	C₂×Dic₅₉	—	2	1	no	—
604	C₂×Dic₅₉	—	2	1	no	—
605	C₂×Dic₅₉	—	2	1	no	—
606	C₂×Dic₅₉	—	2	1	no	—
607	C₂×Dic₅₉	—	2	1	no	—
608	C₂×Dic₅₉	—	2	1	no	—
609	C₂×Dic₅₉	—	2	1	no	—
610	C₂×Dic₅₉	—	2	1	no	—
611	C₂×Dic₅₉	—	2	1	no	—
612	C₂×Dic₅₉	—	2	1	no	—
613	C₂×Dic₅₉	—	2	1	no	—
614	C₂×Dic₅₉	—	2	1	no	—
615	C₂×Dic₅₉	—	2	1	no	—
616	C₂×Dic₅₉	—	2	1	no	—
617	C₂×Dic₅₉	—	2	1	no	—
618	C₂×Dic₅₉	—	2	1	no	—
619	C₂×Dic₅₉	—	2	1	no	—
620	C₂×Dic₅₉	—	2	1	no	—
621	C₂×Dic₅₉	—	2	1	no	—
622	C₂×Dic₅₉	—	2	1	no	—
623	C₂×Dic₅₉	—	2	1	no	—
624	C₂×Dic₅₉	—	2	1	no	—
625	C₂×Dic₅₉	—	2	1	no	—
626	C₂×Dic₅₉	—	2	1	no	—
627	C₂×Dic₅₉	—	2	1	no	—
628	C₂×Dic₅₉	—	2	1	no	—
629	C₂×Dic₅₉	—	2	1	no	—
630	C₂×Dic₅₉	—	2	1	no	—
631	C₂×Dic₅₉	—	2	1	no	—
632	C₂×Dic₅₉	—	2	1	no	—
633	C₂×Dic₅₉	—	2	1	no	—
634	C₂×Dic₅₉	—	2	1	no	—
635	C₂×Dic₅₉	—	2	1	no	—
636	C₂×Dic₅₉	—	2	1	no	—
637	C₂×Dic₅₉	—	2	1	no	—
638	C₂×Dic₅₉	—	2	1	no	—
639	C₂×Dic₅₉	—	2	1	no	—
640	C₂×Dic₅₉	—	4	4	no	—
641	C₂×Dic₅₉	C₂×#41	1	2	yes	—
642	C₂×Dic₅₉	H(5,𝔽₂)	1	2	yes	—
643	C₄×D₅₉	—	2	8	no	—
644	C₄×D₅₉	—	4	4	no	—
645	C₄×D₅₉	—	4	4	no	—
646	C₄×D₅₉	—	4	4	no	—
647	C₄×D₅₉	—	8	2	no	—
648	C₄×D₅₉	—	8	2	no	—
649	C₄×D₅₉	—	8	2	no	—
650	C₄×D₅₉	—	8	2	no	—
651	Dic₁₁₈	—	8	2	no	—
652	Dic₁₁₈	—	8	2	no	—
653	#36728	—	59	1	no	maximal, Sylow
654	C₂²×C₅₉	—	2	2	no	—
655	C₂²×C₅₉	—	2	2	no	—
656	C₂²×C₅₉	—	2	2	no	—
657	C₂²×C₅₉	—	4	1	no	—
658	C₂²×C₅₉	—	4	1	no	—
659	C₂²×C₅₉	—	4	1	no	—
660	C₂²×C₅₉	—	4	1	no	—
661	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
662	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
663	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
664	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
665	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
666	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
667	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
668	C₂×D₅₉	—	2	2	no	—
669	C₂×D₅₉	—	2	2	no	—
670	C₂×D₅₉	—	2	2	no	—
671	C₂×D₅₉	—	2	2	no	—
672	C₂×D₅₉	—	2	2	no	—
673	C₂×D₅₉	—	2	2	no	—
674	C₂×D₅₉	—	2	2	no	—
675	C₂×D₅₉	—	2	2	no	—
676	C₂×D₅₉	—	2	2	no	—
677	C₂×D₅₉	—	4	16	no	—
678	C₂×D₅₉	—	4	1	no	—
679	C₂×D₅₉	—	4	1	no	—
680	C₂×D₅₉	—	4	1	no	—
681	C₂×D₅₉	—	4	1	no	—
682	C₂×D₅₉	#541	1	4	yes	—
683	C₄×C₅₉	—	2	2	no	—
684	C₄×C₅₉	—	2	2	no	—
685	C₄×C₅₉	—	4	1	no	—
686	C₄×C₅₉	—	4	1	no	—
687	C₄×C₅₉	—	4	1	no	—
688	C₄×C₅₉	—	4	1	no	—
689	C₄×C₅₉	—	4	1	no	—
690	C₄×C₅₉	—	4	1	no	—
691	C₄×C₅₉	—	4	1	no	—
692	C₄×C₅₉	—	4	1	no	—
693	C₄×C₅₉	—	4	1	no	—
694	C₄×C₅₉	—	4	1	no	—
695	C₄×C₅₉	—	4	1	no	—
696	C₄×C₅₉	—	4	1	no	—
697	Dic₅₉	—	2	2	no	—
698	Dic₅₉	—	2	2	no	—
699	Dic₅₉	—	4	1	no	—
700	Dic₅₉	—	4	1	no	—
701	Dic₅₉	—	4	1	no	—
702	Dic₅₉	—	4	1	no	—
703	Dic₅₉	—	4	1	no	—
704	Dic₅₉	—	4	1	no	—
705	Dic₅₉	—	4	1	no	—
706	Dic₅₉	—	4	1	no	—
707	Dic₅₉	—	4	1	no	—
708	Dic₅₉	—	4	1	no	—
709	Dic₅₉	—	4	1	no	—
710	Dic₅₉	—	4	1	no	—
711	#2848	—	59	1	no	—
712	#2848	—	59	1	no	—
713	#2747	—	59	1	no	—
714	#2747	—	59	1	no	—
715	#2747	—	59	1	no	—
716	#2747	D₅₉	1	1	yes	characteristic, complemented
717	#2722	—	59	1	no	—
718	#2722	—	59	1	no	—
719	#2722	—	59	1	no	—
720	#2722	—	59	1	no	—
721	#2704	—	59	1	no	—
722	#2704	—	59	1	no	—
723	#2704	—	59	1	no	—
724	#2704	—	59	1	no	—
725	#2690	—	59	1	no	—
726	#2690	—	59	1	no	—
727	#2690	—	59	1	no	—
728	#2690	—	59	1	no	—
729	#2659	—	59	1	no	—
730	#2646	—	59	1	no	—
731	#2480	—	59	1	no	—
732	#2480	—	59	1	no	—
733	#2480	—	59	1	no	—
734	#2480	—	59	1	no	—
735	#2473	—	59	1	no	—
736	#2473	—	59	1	no	—
737	#2473	—	59	1	no	—
738	#2473	—	59	1	no	—
739	#2329	—	59	1	no	—
740	#2329	—	59	1	no	—
741	C₂×#380	—	59	1	no	—
742	C₂×C₅₉	—	4	2	no	—
743	C₂×C₅₉	C₂×#541	1	1	yes	characteristic
744	C₂×C₅₉	#3490	1	1	yes	characteristic
745	C₂×C₅₉	#3492	1	1	yes	characteristic
746	C₂×C₅₉	#3536	1	1	yes	characteristic
747	C₂×C₅₉	#3536	1	1	yes	characteristic
748	C₂×C₅₉	#3538	1	1	yes	characteristic
749	C₂×C₅₉	#3538	1	1	yes	characteristic
750	D₅₉	—	2	4	no	—
751	D₅₉	—	4	2	no	—
752	C₂⁴×C₄	—	59	1	no	—
753	C₂×#126	—	59	1	no	—
754	C₂×#126	—	59	1	no	—
755	C₂×#126	—	59	1	no	—
756	C₂×#126	—	59	1	no	—
757	C₂×#125	—	59	1	no	—
758	C₂×#125	—	59	1	no	—
759	C₂×#125	—	59	1	no	—
760	C₂×#125	—	59	1	no	—
761	C₂×C₂²⋊Q₈	—	59	1	no	—
762	C₂×C₂²⋊Q₈	—	59	1	no	—
763	C₂×C₂²⋊Q₈	—	59	1	no	—
764	C₂×C₂²⋊Q₈	—	59	1	no	—
765	C₂×C₂²⋊Q₈	—	59	1	no	—
766	C₂×C₂²⋊Q₈	—	59	1	no	—
767	C₂²×C₄⋊C₄	—	59	1	no	—
768	C₂²×C₄⋊C₄	—	59	1	no	—
769	C₂²×C₂²⋊C₄	—	59	1	no	—
770	C₂²×C₂²⋊C₄	—	59	1	no	—
771	#400	—	59	1	no	—
772	#400	—	59	1	no	—
773	#400	—	59	1	no	—
774	#400	—	59	1	no	—
775	#400	—	59	1	no	—
776	#400	—	59	1	no	—
777	#400	C₂×D₅₉	1	1	yes	characteristic, complemented
778	#400	C₂×D₅₉	1	1	yes	characteristic, complemented
779	#398	—	59	1	no	—
780	#398	—	59	1	no	—
781	#398	—	59	1	no	—
782	#398	—	59	1	no	—
783	#398	—	59	1	no	—
784	#398	—	59	1	no	—
785	#398	—	59	1	no	—
786	#398	—	59	1	no	—
787	#398	—	59	1	no	—
788	#398	—	59	1	no	—
789	#398	—	59	1	no	—
790	#398	—	59	1	no	—
791	#398	—	59	1	no	—
792	#398	—	59	1	no	—
793	#398	—	59	1	no	—
794	#398	—	59	1	no	—
795	#398	—	59	1	no	—
796	#398	—	59	1	no	—
797	#398	C₂×D₅₉	1	1	yes	characteristic, complemented
798	#398	C₂×D₅₉	1	1	yes	characteristic, complemented
799	#397	—	59	1	no	—
800	#397	—	59	1	no	—
801	#397	—	59	1	no	—
802	#397	—	59	1	no	—
803	#397	—	59	1	no	—
804	#397	—	59	1	no	—
805	#397	—	59	1	no	—
806	#397	—	59	1	no	—
807	#397	—	59	1	no	—
808	#397	—	59	1	no	—
809	#397	C₂×D₅₉	1	1	yes	characteristic
810	#397	C₂×D₅₉	1	1	yes	characteristic
811	#396	—	59	1	no	—
812	#396	—	59	1	no	—
813	#396	—	59	1	no	—
814	#396	—	59	1	no	—
815	#395	—	59	1	no	—
816	#395	—	59	1	no	—
817	#395	—	59	1	no	—
818	#395	—	59	1	no	—
819	#391	—	59	1	no	—
820	#391	—	59	1	no	—
821	#391	—	59	1	no	—
822	#391	—	59	1	no	—
823	#389	—	59	1	no	—
824	#389	—	59	1	no	—
825	#389	—	59	1	no	—
826	#389	—	59	1	no	—
827	#389	—	59	1	no	—
828	#389	—	59	1	no	—
829	#389	—	59	1	no	—
830	#389	—	59	1	no	—
831	#388	—	59	1	no	—
832	#388	—	59	1	no	—
833	#388	—	59	1	no	—
834	#388	—	59	1	no	—
835	#388	—	59	1	no	—
836	#388	—	59	1	no	—
837	#388	—	59	1	no	—
838	#388	—	59	1	no	—
839	#388	—	59	1	no	—
840	#388	—	59	1	no	—
841	#388	C₂×D₅₉	1	1	yes	characteristic
842	#388	C₂×D₅₉	1	1	yes	characteristic
843	#387	—	59	1	no	—
844	#387	—	59	1	no	—
845	#387	—	59	1	no	—
846	#387	—	59	1	no	—
847	#387	—	59	1	no	—
848	#387	—	59	1	no	—
849	#387	—	59	1	no	—
850	#387	—	59	1	no	—
851	#387	—	59	1	no	—
852	#387	—	59	1	no	—
853	#387	—	59	1	no	—
854	#387	—	59	1	no	—
855	#387	C₂×D₅₉	1	1	yes	characteristic, complemented
856	#387	C₂×D₅₉	1	1	yes	characteristic, complemented
857	#387	C₂×D₅₉	1	1	yes	characteristic, complemented
858	#387	C₂×D₅₉	1	1	yes	characteristic, complemented
859	#385	—	59	1	no	—
860	#385	—	59	1	no	—
861	#385	—	59	1	no	—
862	#385	—	59	1	no	—
863	#385	—	59	1	no	—
864	#385	—	59	1	no	—
865	#385	—	59	1	no	—
866	#385	—	59	1	no	—
867	#385	—	59	1	no	—
868	#385	—	59	1	no	—
869	#385	—	59	1	no	—
870	#385	—	59	1	no	—
871	#385	—	59	1	no	—
872	#385	—	59	1	no	—
873	#385	—	59	1	no	—
874	#385	—	59	1	no	—
875	#385	—	59	1	no	—
876	#385	—	59	1	no	—
877	#385	—	59	1	no	—
878	#385	C₂×D₅₉	1	1	yes	characteristic
879	#380	—	59	1	no	—
880	#380	—	59	1	no	—
881	#380	—	59	1	no	—
882	#380	—	59	1	no	—
883	#380	—	59	1	no	—
884	#380	—	59	1	no	—
885	#380	—	59	1	no	—
886	#380	—	59	1	no	—
887	#380	—	59	1	no	—
888	#380	—	59	1	no	—
889	#380	—	59	1	no	—
890	#380	—	59	1	no	—
891	#380	—	59	1	no	—
892	#380	—	59	1	no	—
893	#380	—	59	1	no	—
894	#380	—	59	1	no	—
895	#380	C₂×D₅₉	1	1	yes	characteristic
896	#380	C₂×D₅₉	1	1	yes	characteristic
897	#379	—	59	1	no	—
898	#379	—	59	1	no	—
899	#379	—	59	1	no	—
900	#379	—	59	1	no	—
901	C₄×C₂²⋊C₄	—	59	1	no	—
902	C₄×C₂²⋊C₄	—	59	1	no	—
903	C₄×C₂²⋊C₄	—	59	1	no	—
904	C₄×C₂²⋊C₄	—	59	1	no	—
905	C₂×#95	—	59	1	no	—
906	C₂×#95	—	59	1	no	—
907	C₅₉	#36728	1	1	yes	characteristic, complemented, Sylow
908	C₂⁵	—	59	1	no	—
909	C₂²×Q₈	—	59	1	no	—
910	C₂²×Q₈	—	59	1	no	—
911	C₂³×C₄	—	59	1	no	—
912	C₂³×C₄	—	59	1	no	—
913	C₂³×C₄	—	59	1	no	—
914	C₂³×C₄	—	59	1	no	—
915	C₂³×C₄	—	59	1	no	—
916	C₂³×C₄	—	59	1	no	—
917	C₂³×C₄	—	59	1	no	—
918	C₂³×C₄	—	59	1	no	—
919	C₂³×C₄	—	59	1	no	—
920	C₂³×C₄	—	118	4	no	—
921	C₂³×C₄	—	236	2	no	—
922	C₂³×C₄	—	236	2	no	—
923	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
924	#126	—	236	2	no	—
925	#126	—	236	2	no	—
926	#126	—	236	2	no	—
927	#126	—	236	2	no	—
928	#125	—	236	2	no	—
929	#125	—	236	2	no	—
930	#125	—	236	2	no	—
931	#125	—	236	2	no	—
932	C₂²⋊Q₈	—	118	4	no	—
933	C₂²⋊Q₈	—	118	4	no	—
934	C₂²⋊Q₈	—	236	2	no	—
935	C₂²⋊Q₈	—	236	2	no	—
936	C₂²⋊Q₈	—	236	2	no	—
937	C₂²⋊Q₈	—	236	2	no	—
938	C₂×C₄⋊C₄	—	59	1	no	—
939	C₂×C₄⋊C₄	—	59	1	no	—
940	C₂×C₄⋊C₄	—	59	1	no	—
941	C₂×C₄⋊C₄	—	59	1	no	—
942	C₂×C₄⋊C₄	—	59	1	no	—
943	C₂×C₄⋊C₄	—	59	1	no	—
944	C₂×C₄⋊C₄	—	59	1	no	—
945	C₂×C₄⋊C₄	—	59	1	no	—
946	C₂×C₄⋊C₄	—	59	1	no	—
947	C₂×C₄⋊C₄	—	59	1	no	—
948	C₂×C₄⋊C₄	—	59	1	no	—
949	C₂×C₄⋊C₄	—	59	1	no	—
950	C₂×C₄⋊C₄	—	59	1	no	—
951	C₂×C₄⋊C₄	—	59	1	no	—
952	C₂×C₄⋊C₄	—	59	1	no	—
953	C₂×C₄⋊C₄	—	59	1	no	—
954	C₂×C₄⋊C₄	—	59	1	no	—
955	C₂×C₄⋊C₄	—	59	1	no	—
956	C₂×C₄⋊C₄	—	59	1	no	—
957	C₂×C₄⋊C₄	—	59	1	no	—
958	C₂×C₄⋊C₄	—	59	1	no	—
959	C₂×C₄⋊C₄	—	59	1	no	—
960	C₂×C₄⋊C₄	—	59	1	no	—
961	C₂×C₄⋊C₄	—	59	1	no	—
962	C₂×C₄⋊C₄	—	59	1	no	—
963	C₂×C₄⋊C₄	—	59	1	no	—
964	C₂×C₄⋊C₄	—	59	1	no	—
965	C₂×C₄⋊C₄	—	59	1	no	—
966	C₂×C₄⋊C₄	—	59	1	no	—
967	C₂×C₄⋊C₄	—	59	1	no	—
968	C₂×C₄⋊C₄	—	59	1	no	—
969	C₂×C₄⋊C₄	—	59	1	no	—
970	C₂×C₄⋊C₄	—	59	1	no	—
971	C₂×C₄⋊C₄	—	59	1	no	—
972	C₂×C₄⋊C₄	—	59	1	no	—
973	C₂×C₄⋊C₄	—	59	1	no	—
974	C₂×C₄⋊C₄	—	59	1	no	—
975	C₂×C₄⋊C₄	—	59	1	no	—
976	C₂×C₄⋊C₄	—	59	1	no	—
977	C₂×C₄⋊C₄	—	59	1	no	—
978	C₂×C₄⋊C₄	—	236	2	no	—
979	C₂×C₄⋊C₄	—	236	2	no	—
980	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	—	59	1	no	—
991	C₂×C₂²⋊C₄	—	59	1	no	—
992	C₂×C₂²⋊C₄	—	59	1	no	—
993	C₂×C₂²⋊C₄	—	59	1	no	—
994	C₂×C₂²⋊C₄	—	59	1	no	—
995	C₂×C₂²⋊C₄	—	59	1	no	—
996	C₂×C₂²⋊C₄	—	59	1	no	—
997	C₂×C₂²⋊C₄	—	59	1	no	—
998	C₂×C₂²⋊C₄	—	59	1	no	—
999	C₂×C₂²⋊C₄	—	59	1	no	—
1000	C₂×C₂²⋊C₄	—	59	1	no	—
1001	C₂×C₂²⋊C₄	—	59	1	no	—
1002	C₂×C₂²⋊C₄	—	59	1	no	—
1003	C₂×C₂²⋊C₄	—	59	1	no	—
1004	C₂×C₂²⋊C₄	—	59	1	no	—
1005	C₂×C₂²⋊C₄	—	59	1	no	—
1006	C₂×C₂²⋊C₄	—	59	1	no	—
1007	C₂×C₂²⋊C₄	—	59	1	no	—
1008	C₂×C₂²⋊C₄	—	59	1	no	—
1009	C₂×C₂²⋊C₄	—	59	1	no	—
1010	C₂×C₂²⋊C₄	—	59	1	no	—
1011	C₂×C₂²⋊C₄	—	59	1	no	—
1012	C₂×C₂²⋊C₄	—	59	1	no	—
1013	C₂×C₂²⋊C₄	—	59	1	no	—
1014	C₂×C₂²⋊C₄	—	59	1	no	—
1015	C₂×C₂²⋊C₄	—	59	1	no	—
1016	C₂×C₂²⋊C₄	—	236	2	no	—
1017	C₂×C₂²⋊C₄	—	236	2	no	—
1018	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
1024	C₂×C₄²	—	59	1	no	—
1025	C₂×C₄²	—	59	1	no	—
1026	C₂×C₄²	—	59	1	no	—
1027	C₂×C₄²	—	59	1	no	—
1028	C₂×C₄²	—	59	1	no	—
1029	C₂×C₄²	—	59	1	no	—
1030	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1031	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
1032	#95	—	59	1	no	—
1033	#95	—	59	1	no	—
1034	#95	—	59	1	no	—
1035	#95	—	59	1	no	—
1036	#95	—	59	1	no	—
1037	#95	—	59	1	no	—
1038	#95	—	59	1	no	—
1039	#95	—	59	1	no	—
1040	#95	—	59	1	no	—
1041	#95	—	59	1	no	—
1042	#95	—	59	1	no	—
1043	#95	—	59	1	no	—
1044	#95	—	59	1	no	—
1045	#95	—	59	1	no	—
1046	#95	—	59	1	no	—
1047	#95	—	59	1	no	—
1048	#95	—	59	1	no	—
1049	#95	—	59	1	no	—
1050	#95	—	59	1	no	—
1051	#95	—	59	1	no	—
1052	#95	—	59	1	no	—
1053	#95	—	59	1	no	—
1054	#95	—	59	1	no	—
1055	#95	—	59	1	no	—
1056	#95	—	59	1	no	—
1057	#95	—	59	1	no	—
1058	#95	—	59	1	no	—
1059	#95	—	59	1	no	—
1060	#95	—	59	1	no	—
1061	#95	—	59	1	no	—
1062	#95	—	59	1	no	—
1063	#95	—	59	1	no	—
1064	#95	—	59	1	no	—
1065	#95	—	59	1	no	—
1066	#95	—	59	1	no	—
1067	#95	—	59	1	no	—
1068	#95	C₂²×D₅₉	1	1	yes	characteristic
1069	#95	C₂²×D₅₉	1	1	yes	characteristic
1070	#95	C₂²×D₅₉	1	1	yes	characteristic
1071	#95	C₂²×D₅₉	1	1	yes	characteristic
1072	#95	C₂²×D₅₉	1	1	yes	characteristic
1073	#95	C₂²×D₅₉	1	1	yes	characteristic
1074	#95	C₂²×D₅₉	1	1	yes	characteristic
1075	#95	C₂²×D₅₉	1	1	yes	characteristic
1076	#95	C₂²×D₅₉	1	1	yes	characteristic
1077	#95	C₂²×D₅₉	1	1	yes	characteristic
1078	#95	C₂²×D₅₉	1	1	yes	characteristic
1079	#95	C₂²×D₅₉	1	1	yes	characteristic
1080	#95	C₂²×D₅₉	1	1	yes	characteristic
1081	#95	C₂²×D₅₉	1	1	yes	characteristic
1082	#95	C₂²×D₅₉	1	1	yes	characteristic
1083	#95	C₂²×D₅₉	1	1	yes	characteristic
1084	C₂⁴	—	59	1	no	—
1085	C₂⁴	—	59	1	no	—
1086	C₂⁴	—	118	2	no	—
1087	C₂⁴	—	118	2	no	—
1088	C₂⁴	—	118	2	no	—
1089	C₂⁴	—	118	2	no	—
1090	C₂⁴	—	118	2	no	—
1091	C₂⁴	—	236	1	no	—
1092	C₂⁴	—	236	1	no	—
1093	C₂⁴	C₂³×D₅₉	1	1	yes	characteristic
1094	C₂×Q₈	—	118	2	no	—
1095	C₂×Q₈	—	118	2	no	—
1096	C₂×Q₈	—	236	1	no	—
1097	C₂×Q₈	—	236	1	no	—
1098	C₂×Q₈	—	236	1	no	—
1099	C₂×Q₈	—	236	1	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	4	1	no	—
1103	C₂²×C₄	—	59	1	no	—
1104	C₂²×C₄	—	59	1	no	—
1105	C₂²×C₄	—	59	4	no	—
1106	C₂²×C₄	—	59	1	no	—
1107	C₂²×C₄	—	59	1	no	—
1108	C₂²×C₄	—	59	1	no	—
1109	C₂²×C₄	—	59	1	no	—
1110	C₂²×C₄	—	59	1	no	—
1111	C₂²×C₄	—	59	1	no	—
1112	C₂²×C₄	—	59	1	no	—
1113	C₂²×C₄	—	59	1	no	—
1114	C₂²×C₄	—	59	1	no	—
1115	C₂²×C₄	—	59	1	no	—
1116	C₂²×C₄	—	59	1	no	—
1117	C₂²×C₄	—	59	1	no	—
1118	C₂²×C₄	—	118	2	no	—
1119	C₂²×C₄	—	118	2	no	—
1120	C₂²×C₄	—	118	2	no	—
1121	C₂²×C₄	—	118	2	no	—
1122	C₂²×C₄	—	118	2	no	—
1123	C₂²×C₄	—	118	2	no	—
1124	C₂²×C₄	—	118	2	no	—
1125	C₂²×C₄	—	118	2	no	—
1126	C₂²×C₄	—	118	2	no	—
1127	C₂²×C₄	—	118	2	no	—
1128	C₂²×C₄	—	118	2	no	—
1129	C₂²×C₄	—	118	2	no	—
1130	C₂²×C₄	—	118	2	no	—
1131	C₂²×C₄	—	236	1	no	—
1132	C₂²×C₄	—	236	1	no	—
1133	C₂²×C₄	—	236	1	no	—
1134	C₂²×C₄	—	236	1	no	—
1135	C₂²×C₄	—	236	1	no	—
1136	C₂²×C₄	—	236	1	no	—
1137	C₂²×C₄	—	236	1	no	—
1138	C₂²×C₄	—	236	1	no	—
1139	C₂²×C₄	—	236	1	no	—
1140	C₂²×C₄	—	236	1	no	—
1141	C₂²×C₄	—	236	1	no	—
1142	C₂²×C₄	—	236	1	no	—
1143	C₂²×C₄	—	236	16	no	—
1144	C₂²×C₄	—	236	1	no	—
1145	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	118	2	no	—
1170	C₄⋊C₄	—	118	2	no	—
1171	C₄⋊C₄	—	118	2	no	—
1172	C₄⋊C₄	—	118	2	no	—
1173	C₄⋊C₄	—	118	2	no	—
1174	C₄⋊C₄	—	118	2	no	—
1175	C₄⋊C₄	—	118	2	no	—
1176	C₄⋊C₄	—	118	2	no	—
1177	C₄⋊C₄	—	118	2	no	—
1178	C₄⋊C₄	—	118	2	no	—
1179	C₄⋊C₄	—	118	2	no	—
1180	C₄⋊C₄	—	118	2	no	—
1181	C₄⋊C₄	—	118	2	no	—
1182	C₄⋊C₄	—	118	2	no	—
1183	C₄⋊C₄	—	236	1	no	—
1184	C₄⋊C₄	—	236	1	no	—
1185	C₄⋊C₄	—	236	1	no	—
1186	C₄⋊C₄	—	236	1	no	—
1187	C₄⋊C₄	—	236	1	no	—
1188	C₄⋊C₄	—	236	1	no	—
1189	C₄⋊C₄	—	236	1	no	—
1190	C₄⋊C₄	—	236	1	no	—
1191	C₄⋊C₄	—	236	1	no	—
1192	C₄⋊C₄	—	236	1	no	—
1193	C₄⋊C₄	—	236	1	no	—
1194	C₄⋊C₄	—	236	1	no	—
1195	C₄⋊C₄	—	236	1	no	—
1196	C₄⋊C₄	—	236	1	no	—
1197	C₄⋊C₄	—	236	1	no	—
1198	C₄⋊C₄	—	236	1	no	—
1199	C₄⋊C₄	—	236	1	no	—
1200	C₄⋊C₄	—	236	1	no	—
1201	C₄⋊C₄	—	236	1	no	—
1202	C₄⋊C₄	—	236	1	no	—
1203	C₄⋊C₄	—	236	1	no	—
1204	C₄⋊C₄	—	236	1	no	—
1205	C₄⋊C₄	—	236	1	no	—
1206	C₄⋊C₄	—	236	1	no	—
1207	C₄⋊C₄	—	236	1	no	—
1208	C₄⋊C₄	—	236	1	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	4	1	no	—
1213	C₂²⋊C₄	—	4	1	no	—
1214	C₂²⋊C₄	—	4	1	no	—
1215	C₂²⋊C₄	—	118	2	no	—
1216	C₂²⋊C₄	—	118	2	no	—
1217	C₂²⋊C₄	—	118	2	no	—
1218	C₂²⋊C₄	—	118	2	no	—
1219	C₂²⋊C₄	—	118	2	no	—
1220	C₂²⋊C₄	—	118	2	no	—
1221	C₂²⋊C₄	—	118	2	no	—
1222	C₂²⋊C₄	—	118	2	no	—
1223	C₂²⋊C₄	—	118	2	no	—
1224	C₂²⋊C₄	—	118	2	no	—
1225	C₂²⋊C₄	—	118	2	no	—
1226	C₂²⋊C₄	—	118	2	no	—
1227	C₂²⋊C₄	—	118	2	no	—
1228	C₂²⋊C₄	—	118	2	no	—
1229	C₂²⋊C₄	—	118	2	no	—
1230	C₂²⋊C₄	—	118	2	no	—
1231	C₂²⋊C₄	—	118	2	no	—
1232	C₂²⋊C₄	—	236	1	no	—
1233	C₂²⋊C₄	—	236	1	no	—
1234	C₂²⋊C₄	—	236	1	no	—
1235	C₂²⋊C₄	—	236	1	no	—
1236	C₂²⋊C₄	—	236	1	no	—
1237	C₂²⋊C₄	—	236	1	no	—
1238	C₂²⋊C₄	—	236	1	no	—
1239	C₂²⋊C₄	—	236	1	no	—
1240	C₂²⋊C₄	—	236	1	no	—
1241	C₄²	—	4	1	no	—
1242	C₄²	—	4	1	no	—
1243	C₄²	—	236	1	no	—
1244	C₄²	—	236	1	no	—
1245	C₄²	—	236	1	no	—
1246	C₄²	—	236	1	no	—
1247	C₄²	—	236	1	no	—
1248	C₄²	—	236	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	59	2	no	—
1256	C₂³	—	59	2	no	—
1257	C₂³	—	59	2	no	—
1258	C₂³	—	59	2	no	—
1259	C₂³	—	118	8	no	—
1260	C₂³	—	118	1	no	—
1261	C₂³	—	118	1	no	—
1262	C₂³	—	118	1	no	—
1263	C₂³	—	118	1	no	—
1264	C₂³	—	118	1	no	—
1265	C₂³	—	118	1	no	—
1266	C₂³	—	118	1	no	—
1267	C₂³	—	118	1	no	—
1268	C₂³	—	118	1	no	—
1269	C₂³	—	118	1	no	—
1270	C₂³	—	236	4	no	—
1271	C₂³	—	236	4	no	—
1272	C₂³	—	236	4	no	—
1273	C₂³	—	236	4	no	—
1274	C₂³	—	236	4	no	—
1275	C₂³	—	236	4	no	—
1276	C₂³	#14273774	1	2	yes	—
1277	C₂³	C₂⁴×D₅₉	1	1	yes	characteristic
1278	Q₈	—	472	2	no	—
1279	Q₈	—	472	2	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	4	4	no	—
1321	C₂×C₄	—	59	2	no	—
1322	C₂×C₄	—	59	2	no	—
1323	C₂×C₄	—	118	8	no	—
1324	C₂×C₄	—	118	1	no	—
1325	C₂×C₄	—	118	1	no	—
1326	C₂×C₄	—	118	1	no	—
1327	C₂×C₄	—	118	1	no	—
1328	C₂×C₄	—	118	1	no	—
1329	C₂×C₄	—	118	1	no	—
1330	C₂×C₄	—	118	1	no	—
1331	C₂×C₄	—	118	1	no	—
1332	C₂×C₄	—	118	1	no	—
1333	C₂×C₄	—	118	1	no	—
1334	C₂×C₄	—	118	1	no	—
1335	C₂×C₄	—	118	1	no	—
1336	C₂×C₄	—	118	1	no	—
1337	C₂×C₄	—	118	1	no	—
1338	C₂×C₄	—	118	1	no	—
1339	C₂×C₄	—	118	1	no	—
1340	C₂×C₄	—	118	1	no	—
1341	C₂×C₄	—	118	1	no	—
1342	C₂×C₄	—	118	1	no	—
1343	C₂×C₄	—	118	1	no	—
1344	C₂×C₄	—	118	1	no	—
1345	C₂×C₄	—	118	1	no	—
1346	C₂×C₄	—	118	1	no	—
1347	C₂×C₄	—	118	1	no	—
1348	C₂×C₄	—	118	1	no	—
1349	C₂×C₄	—	118	1	no	—
1350	C₂×C₄	—	118	1	no	—
1351	C₂×C₄	—	118	1	no	—
1352	C₂×C₄	—	118	1	no	—
1353	C₂×C₄	—	118	1	no	—
1354	C₂×C₄	—	118	1	no	—
1355	C₂×C₄	—	118	1	no	—
1356	C₂×C₄	—	118	1	no	—
1357	C₂×C₄	—	118	1	no	—
1358	C₂×C₄	—	118	1	no	—
1359	C₂×C₄	—	118	1	no	—
1360	C₂×C₄	—	118	1	no	—
1361	C₂×C₄	—	118	1	no	—
1362	C₂×C₄	—	118	1	no	—
1363	C₂×C₄	—	118	1	no	—
1364	C₂×C₄	—	472	2	no	—
1365	C₂×C₄	—	472	2	no	—
1366	C₂×C₄	—	472	2	no	—
1367	C₂×C₄	—	472	2	no	—
1368	C₂×C₄	—	236	4	no	—
1369	C₂×C₄	—	236	4	no	—
1370	C₂×C₄	—	236	4	no	—
1371	C₂×C₄	—	236	4	no	—
1372	C₂×C₄	#41×D₅₉	1	2	yes	—
1373	C₂×C₄	#14273773	1	2	yes	—
1374	C₂²	—	2	2	no	—
1375	C₂²	—	2	2	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	59	4	no	—
1382	C₂²	—	118	2	no	—
1383	C₂²	—	118	2	no	—
1384	C₂²	—	118	2	no	—
1385	C₂²	—	118	2	no	—
1386	C₂²	—	118	2	no	—
1387	C₂²	—	118	2	no	—
1388	C₂²	—	118	2	no	—
1389	C₂²	—	118	2	no	—
1390	C₂²	—	118	2	no	—
1391	C₂²	—	236	16	no	—
1392	C₂²	—	236	1	no	—
1393	C₂²	—	236	1	no	—
1394	C₂²	—	236	1	no	—
1395	C₂²	—	236	1	no	—
1396	C₂²	C₂×#41×D₅₉	1	1	yes	characteristic
1397	C₂²	H(5,𝔽₂)×D₅₉	1	1	yes	characteristic
1398	C₂²	H(5,𝔽₂)×D₅₉	1	1	yes	characteristic
1399	C₂²	C₂×#14273773	1	1	yes	characteristic
1400	C₂²	2₋¹⁺⁴×D₅₉	1	1	yes	characteristic
1401	C₂²	2₋¹⁺⁴×D₅₉	1	1	yes	characteristic
1402	C₂²	C₂×#14273774	1	1	yes	characteristic
1403	C₄	—	2	2	no	—
1404	C₄	—	2	2	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	4	1	no	—
1409	C₄	—	4	1	no	—
1410	C₄	—	4	1	no	—
1411	C₄	—	4	1	no	—
1412	C₄	—	4	1	no	—
1413	C₄	—	4	1	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	118	2	no	—
1418	C₄	—	118	2	no	—
1419	C₄	—	236	1	no	—
1420	C₄	—	236	1	no	—
1421	C₄	—	236	1	no	—
1422	C₄	—	236	1	no	—
1423	C₄	—	236	1	no	—
1424	C₄	—	236	1	no	—
1425	C₄	—	236	1	no	—
1426	C₄	—	236	1	no	—
1427	C₄	—	236	1	no	—
1428	C₄	—	236	1	no	—
1429	C₄	—	236	1	no	—
1430	C₄	—	236	1	no	—
1431	C₂	—	4	2	no	—
1432	C₂	—	118	4	no	—
1433	C₂	—	236	2	no	—
1434	C₂	#541×D₅₉	1	1	yes	characteristic
1435	C₂	#21437780	1	1	yes	characteristic
1436	C₂	#21437800	1	1	yes	characteristic
1437	C₂	#21438315	1	1	yes	characteristic
1438	C₂	#21438321	1	1	yes	characteristic
1439	C₂	#21438342	1	1	yes	characteristic
1440	C₂	#21438343	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅₉
commutator, socle, cosocle	C₂³×C₅₉	C₂⁵
Fitting	C₅₉×#2747	C₂
prime radical	C₂⁴×D₅₉	C₂³
hypercenter	#2747	D₅₉
hypocenter	C₅₉	#36728
LCS	G ▷ C₂³×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂³ ◁ #2747

Complements

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

N	H ≅ G/N	type
3. #21431300	C₂	semidirect
4. #21431295	C₂	semidirect
5. #21431288	C₂	semidirect
6. #21431007	C₂	semidirect
7. #21431006	C₂	semidirect
8. #21431006	C₂	semidirect
9. #21431005	C₂	semidirect
10. #21430758	C₂	semidirect
11. #21430755	C₂	semidirect
12. #21430754	C₂	semidirect
13. #21430751	C₂	semidirect
14. #21430569	C₂	semidirect
15. #21430565	C₂	semidirect
16. #21430564	C₂	semidirect
17. #21430560	C₂	semidirect
18. #21430211	C₂	semidirect
19. #21430067	C₂	semidirect
24. #21428241	C₂	semidirect
25. #21428240	C₂	semidirect
26. #21428235	C₂	semidirect
27. #21428232	C₂	semidirect
28. #21426825	C₂	semidirect
29. #21426823	C₂	semidirect
31. C₅₉×#2747	C₂	semidirect
37. C₂×#14273719	C₂²	semidirect
38. C₂×#14273718	C₂²	semidirect
39. C₂×#14273718	C₂²	semidirect
40. C₂×#14273717	C₂²	semidirect
51. #16837344	C₂²	semidirect
52. #16837344	C₂²	semidirect
53. #16837343	C₂²	semidirect
54. #16837342	C₂²	semidirect
55. #16837342	C₂²	semidirect
56. #16837341	C₂²	semidirect
57. #16837336	C₂²	semidirect
58. #16837336	C₂²	semidirect
59. #16837336	C₂²	semidirect
60. #16837336	C₂²	semidirect
61. #16837336	C₂²	semidirect
62. #16837335	C₂²	semidirect
63. #16837335	C₂²	semidirect
64. #16837335	C₂²	semidirect
65. #16837335	C₂²	semidirect
66. #16837335	C₂²	semidirect
67. #16837334	C₂²	semidirect
68. #16837334	C₂²	semidirect
69. #16837334	C₂²	semidirect
70. #16837334	C₂²	semidirect
71. #16837333	C₂²	semidirect
72. #16837333	C₂²	semidirect
73. #16837332	C₂²	semidirect
74. #16837332	C₂²	semidirect
89. #16837323	C₂²	semidirect
90. #16837323	C₂²	semidirect
91. #16837323	C₂²	semidirect
92. #16837322	C₂²	semidirect
93. #16837308	C₂²	semidirect
94. #16837306	C₂²	semidirect
95. #16837306	C₂²	semidirect
96. #16837306	C₂²	semidirect
97. #16837301	C₂²	semidirect
98. #16837300	C₂²	semidirect
99. #16837300	C₂²	semidirect
100. #16837299	C₂²	semidirect
101. #16837299	C₂²	semidirect
102. #16837299	C₂²	semidirect
103. #16837298	C₂²	semidirect
104. #16837297	C₂²	semidirect
115. #16837289	C₂²	semidirect
116. #16837289	C₂²	semidirect
117. #16837288	C₂²	semidirect
118. #16837287	C₂²	semidirect
119. #16837287	C₂²	semidirect
120. #16837287	C₂²	semidirect
121. #16837285	C₂²	semidirect
122. #16837285	C₂²	semidirect
123. #16837284	C₂²	semidirect
124. #16837284	C₂²	semidirect
125. #16837283	C₂²	semidirect
126. #16837283	C₂²	semidirect
172. C₅₉×#400	C₂²	semidirect
173. C₅₉×#400	C₂²	semidirect
174. C₅₉×#398	C₂²	semidirect
175. C₅₉×#398	C₂²	semidirect
180. C₅₉×#387	C₂²	semidirect
181. C₅₉×#387	C₂²	semidirect
182. C₅₉×#387	C₂²	semidirect
183. C₅₉×#387	C₂²	semidirect
716. #2747	D₅₉	semidirect
777. #400	C₂×D₅₉	semidirect
778. #400	C₂×D₅₉	semidirect
797. #398	C₂×D₅₉	semidirect
798. #398	C₂×D₅₉	semidirect
855. #387	C₂×D₅₉	semidirect
856. #387	C₂×D₅₉	semidirect
857. #387	C₂×D₅₉	semidirect
858. #387	C₂×D₅₉	semidirect
907. C₅₉	#36728	semidirect

Maximal subgroups

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

subgroup	index
#21432384	2
#21432382	2
#21431300	2
#21431295	2
#21431288	2
#21431007	2
#21431006	2
#21431005	2
#21430758	2
#21430755	2
#21430754	2
#21430751	2
#21430569	2
#21430565	2
#21430564	2
#21430560	2
#21430211	2
#21430067	2
#21428348	2
#21428346	2
#21428343	2
#21428241	2
#21428240	2
#21428235	2
#21428232	2
#21426825	2
#21426823	2
#380×D₅₉	2
C₅₉×#2747	2
#36728	59