Subgroups — C₅₉×#62206 #28474315

Order 15104.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1110 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#3385	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₈×Q₁₆×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#3343	C₂	1	2	yes	maximal, complemented
9	C₅₉×#3338	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#3334	C₂	1	2	yes	maximal, complemented
11	C₅₉×#3333	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3308	C₂	1	2	yes	maximal, complemented
13	C₅₉×#3305	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#3300	C₂	1	2	yes	maximal, complemented
15	C₅₉×#3262	C₂	1	2	yes	maximal, complemented
16	C₅₉×#3247	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#3243	C₂	1	2	yes	maximal, complemented
18	C₅₉×#3226	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#3124	C₂	1	2	yes	maximal, complemented
20	C₅₉×#3108	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#3083	C₂	1	2	yes	maximal, complemented
22	C₂×C₅₉×#477	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₉×#563	—	2	2	no	—
25	C₅₉×#559	—	2	1	no	—
26	C₅₉×#559	C₂²	1	1	yes	characteristic
27	Q₈²×C₅₉	C₂²	1	1	yes	characteristic
28	Q₈²×C₅₉	C₂²	1	1	yes	characteristic
29	C₅₉×#555	C₂²	1	1	yes	characteristic
30	C₅₉×#554	—	2	1	no	—
31	C₅₉×#554	C₂²	1	1	yes	characteristic
32	C₅₉×#554	C₂²	1	1	yes	characteristic
33	C₅₉×#554	C₂²	1	1	yes	characteristic
34	C₅₉×#552	—	2	1	no	—
35	C₅₉×#552	C₂²	1	2	yes	—
36	C₅₉×#550	C₂²	1	1	yes	characteristic
37	C₅₉×#548	C₂²	1	2	yes	—
38	C₅₉×#547	—	2	2	no	—
39	C₅₉×#547	—	2	1	no	—
40	C₅₉×#547	C₂²	1	2	yes	—
41	C₅₉×#547	C₂²	1	2	yes	—
42	C₅₉×#544	—	2	1	no	—
43	C₅₉×#544	C₂²	1	2	yes	—
44	C₅₉×#542	—	2	2	no	—
45	C₅₉×#542	—	2	1	no	—
46	C₅₉×#542	C₂²	1	2	yes	—
47	C₅₉×#542	C₂²	1	2	yes	—
48	C₅₉×#536	—	2	2	no	—
49	C₅₉×#532	—	2	1	no	—
50	C₅₉×#532	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
52	C₅₉×#529	—	2	1	no	—
53	C₅₉×#529	C₂²	1	1	yes	characteristic
54	C₅₉×#529	C₂²	1	1	yes	characteristic
55	C₅₉×#520	C₂²	1	2	yes	—
56	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
57	C₅₉×#501	C₂²	1	2	yes	—
58	C₅₉×#500	C₂²	1	2	yes	—
59	C₅₉×#500	C₂²	1	1	yes	characteristic
60	C₅₉×#500	C₂²	1	1	yes	characteristic
61	C₅₉×#489	C₂²	1	2	yes	—
62	C₅₉×#488	C₂²	1	2	yes	—
63	C₅₉×#486	C₂²	1	1	yes	characteristic
64	C₅₉×#486	C₂²	1	1	yes	characteristic
65	C₅₉×#485	C₂²	1	2	yes	—
66	C₅₉×#484	C₂²	1	2	yes	—
67	C₅₉×#484	C₂²	1	2	yes	—
68	C₅₉×#483	C₂²	1	1	yes	characteristic
69	C₅₉×#482	C₂²	1	2	yes	—
70	C₅₉×#480	C₂²	1	2	yes	—
71	C₅₉×#480	C₂²	1	2	yes	—
72	C₅₉×#480	C₂²	1	2	yes	—
73	C₅₉×#480	C₂²	1	1	yes	characteristic
74	C₅₉×#480	C₂²	1	2	yes	—
75	C₅₉×#479	C₂²	1	2	yes	—
76	C₅₉×#479	C₂²	1	1	yes	characteristic
77	C₅₉×#479	C₂²	1	1	yes	characteristic
78	C₅₉×#478	C₂²	1	2	yes	—
79	C₅₉×#478	C₂²	1	2	yes	—
80	C₅₉×#477	C₂²	1	2	yes	—
81	C₅₉×#477	C₂²	1	2	yes	—
82	C₅₉×#477	C₂²	1	1	yes	characteristic
83	C₅₉×#477	C₂²	1	2	yes	—
84	C₅₉×#477	C₂²	1	1	yes	characteristic
85	C₅₉×#477	C₂²	1	1	yes	characteristic
86	C₅₉×#477	C₂²	1	2	yes	—
87	C₅₉×#477	C₂²	1	1	yes	characteristic
88	C₅₉×#477	C₂²	1	1	yes	characteristic
89	C₅₉×#476	C₂²	1	1	yes	characteristic
90	C₅₉×#474	C₂²	1	2	yes	—
91	C₅₉×#474	C₂²	1	2	yes	—
92	C₅₉×#474	C₂²	1	2	yes	—
93	C₅₉×#474	C₂²	1	2	yes	—
94	C₅₉×#468	C₂²	1	2	yes	—
95	C₅₉×#468	C₂²	1	2	yes	—
96	C₅₉×#467	C₂²	1	2	yes	—
97	C₅₉×#466	C₂²	1	2	yes	—
98	C₅₉×#466	C₂²	1	2	yes	—
99	C₅₉×#465	C₂²	1	2	yes	—
100	C₅₉×#464	C₂²	1	1	yes	characteristic
101	C₅₉×#464	C₂²	1	2	yes	—
102	C₅₉×#464	C₂²	1	1	yes	characteristic
103	C₅₉×#463	C₂²	1	2	yes	—
104	C₅₉×#463	C₂²	1	2	yes	—
105	C₅₉×#460	C₂²	1	1	yes	characteristic
106	C₅₉×#459	C₂²	1	1	yes	characteristic
107	C₅₉×#452	C₂²	1	2	yes	—
108	C₅₉×#451	C₂²	1	1	yes	characteristic
109	C₅₉×#449	C₂²	1	2	yes	—
110	C₅₉×#448	C₂²	1	1	yes	characteristic
111	C₅₉×#446	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₅₉	C₂²	1	1	yes	characteristic
113	C₅₉×#440	C₂²	1	2	yes	—
114	C₅₉×#440	C₂²	1	2	yes	—
115	C₄×Q₁₆×C₅₉	C₂²	1	2	yes	—
116	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
117	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
120	C₄×D₈×C₅₉	C₂²	1	2	yes	—
121	C₅₉×#436	C₂²	1	1	yes	characteristic
122	C₅₉×#435	C₂²	1	2	yes	—
123	C₈×D₄×C₅₉	C₂²	1	2	yes	—
124	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
125	C₅₉×#433	C₂²	1	2	yes	—
126	C₅₉×#431	C₂²	1	1	yes	characteristic
127	C₅₉×#428	C₂²	1	2	yes	—
128	C₂×#107×C₅₉	C₂²	1	2	yes	—
129	C₂×#107×C₅₉	C₂²	1	2	yes	—
130	C₅₉×#424	C₂²	1	2	yes	—
131	C₂×C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
132	C₅₉×#417	C₂²	1	2	yes	—
133	C₅₉×#416	C₂²	1	2	yes	—
134	C₂×#103×C₅₉	C₂²	1	2	yes	—
135	C₂×#41×C₅₉	—	2	2	no	—
136	C₂×#41×C₅₉	—	2	2	no	—
137	C₂×#41×C₅₉	—	2	1	no	—
138	C₂×#41×C₅₉	C₂³	1	2	yes	—
139	C₂²×Q₈×C₅₉	—	2	1	no	—
140	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
141	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
142	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
143	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₅₉	C₂³	1	2	yes	—
146	C₂×D₈×C₅₉	C₂³	1	2	yes	—
147	C₂×M₁₆×C₅₉	C₂³	1	2	yes	—
148	C₂²×C₈×C₅₉	C₂³	1	2	yes	—
149	C₂²×C₈×C₅₉	C₂³	1	2	yes	—
150	C₄⋊Q₈×C₅₉	—	2	1	no	—
151	C₄⋊Q₈×C₅₉	—	2	2	no	—
152	C₄⋊Q₈×C₅₉	—	2	2	no	—
153	C₄⋊Q₈×C₅₉	—	2	2	no	—
154	C₄⋊Q₈×C₅₉	—	2	1	no	—
155	C₄⋊Q₈×C₅₉	—	2	1	no	—
156	C₄⋊Q₈×C₅₉	—	2	1	no	—
157	C₄⋊Q₈×C₅₉	C₂³	1	2	yes	—
158	C₄⋊Q₈×C₅₉	C₂³	1	2	yes	—
159	C₄⋊Q₈×C₅₉	C₂³	1	2	yes	—
160	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
161	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
162	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
163	#127×C₅₉	—	2	1	no	—
164	#127×C₅₉	C₂³	1	1	yes	characteristic
165	#126×C₅₉	—	2	2	no	—
166	#126×C₅₉	—	2	2	no	—
167	#126×C₅₉	—	2	2	no	—
168	#126×C₅₉	—	2	1	no	—
169	#126×C₅₉	D₄	1	2	yes	—
170	#125×C₅₉	—	2	1	no	—
171	#125×C₅₉	—	2	1	no	—
172	#125×C₅₉	—	2	2	no	—
173	#125×C₅₉	—	2	2	no	—
174	#125×C₅₉	D₄	1	1	yes	characteristic
175	#125×C₅₉	C₂³	1	1	yes	characteristic
176	#125×C₅₉	C₂³	1	2	yes	—
177	#124×C₅₉	—	2	1	no	—
178	#124×C₅₉	—	2	2	no	—
179	#124×C₅₉	—	2	2	no	—
180	#124×C₅₉	—	2	2	no	—
181	#124×C₅₉	—	2	2	no	—
182	#124×C₅₉	—	2	1	no	—
183	#124×C₅₉	D₄	1	1	yes	characteristic
184	#124×C₅₉	C₂³	1	1	yes	characteristic
185	#124×C₅₉	C₂³	1	2	yes	—
186	#123×C₅₉	—	2	2	no	—
187	#123×C₅₉	—	2	1	no	—
188	#123×C₅₉	—	2	2	no	—
189	#123×C₅₉	—	2	2	no	—
190	#123×C₅₉	—	2	2	no	—
191	#123×C₅₉	—	2	2	no	—
192	#123×C₅₉	—	2	2	no	—
193	#123×C₅₉	—	2	2	no	—
194	#123×C₅₉	—	2	2	no	—
195	#123×C₅₉	D₄	1	2	yes	—
196	C₂²⋊Q₈×C₅₉	—	2	1	no	—
197	C₂²⋊Q₈×C₅₉	—	2	2	no	—
198	C₂²⋊Q₈×C₅₉	—	2	2	no	—
199	C₂²⋊Q₈×C₅₉	—	2	2	no	—
200	C₂²⋊Q₈×C₅₉	—	2	2	no	—
201	C₂²⋊Q₈×C₅₉	—	2	2	no	—
202	C₂²⋊Q₈×C₅₉	—	2	2	no	—
203	C₂²⋊Q₈×C₅₉	—	2	2	no	—
204	C₂²⋊Q₈×C₅₉	—	2	2	no	—
205	C₂²⋊Q₈×C₅₉	—	2	2	no	—
206	C₂²⋊Q₈×C₅₉	—	2	2	no	—
207	C₂²⋊Q₈×C₅₉	D₄	1	1	yes	characteristic
208	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
209	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
210	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
211	#121×C₅₉	—	2	2	no	—
212	#121×C₅₉	—	2	1	no	—
213	#121×C₅₉	—	2	1	no	—
214	#121×C₅₉	—	2	2	no	—
215	#121×C₅₉	D₄	1	1	yes	characteristic
216	#121×C₅₉	C₂³	1	1	yes	characteristic
217	#121×C₅₉	C₂³	1	2	yes	—
218	#121×C₅₉	C₂³	1	2	yes	—
219	#121×C₅₉	C₂³	1	2	yes	—
220	C₄×Q₈×C₅₉	—	2	1	no	—
221	C₄×Q₈×C₅₉	—	2	1	no	—
222	C₄×Q₈×C₅₉	—	2	1	no	—
223	C₄×Q₈×C₅₉	—	2	1	no	—
224	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₅₉	C₂³	1	2	yes	—
228	C₄×Q₈×C₅₉	C₂³	1	2	yes	—
229	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₅₉	—	2	1	no	—
233	C₄×D₄×C₅₉	—	2	1	no	—
234	C₄×D₄×C₅₉	—	2	1	no	—
235	C₄×D₄×C₅₉	—	2	1	no	—
236	C₄×D₄×C₅₉	—	2	1	no	—
237	C₄×D₄×C₅₉	—	2	2	no	—
238	C₄×D₄×C₅₉	—	2	2	no	—
239	C₄×D₄×C₅₉	—	2	2	no	—
240	C₄×D₄×C₅₉	—	2	1	no	—
241	C₄×D₄×C₅₉	C₂³	1	2	yes	—
242	C₄×D₄×C₅₉	C₂³	1	2	yes	—
243	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₅₉	C₂³	1	2	yes	—
245	C₄×D₄×C₅₉	C₂³	1	2	yes	—
246	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
247	#117×C₅₉	—	2	2	no	—
248	#117×C₅₉	—	2	1	no	—
249	#117×C₅₉	—	2	2	no	—
250	#117×C₅₉	—	2	1	no	—
251	#117×C₅₉	C₂³	1	2	yes	—
252	#117×C₅₉	C₂³	1	2	yes	—
253	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
254	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
255	C₂×C₄⋊C₄×C₅₉	—	2	2	no	—
256	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
257	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
258	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
259	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
261	C₂×C₄²×C₅₉	—	2	1	no	—
262	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
263	#107×C₅₉	C₂³	1	2	yes	—
264	#107×C₅₉	C₂³	1	1	yes	characteristic
265	#107×C₅₉	C₂³	1	2	yes	—
266	#107×C₅₉	C₂³	1	2	yes	—
267	#107×C₅₉	C₂³	1	2	yes	—
268	#107×C₅₉	C₂³	1	2	yes	—
269	#107×C₅₉	C₂³	1	2	yes	—
270	#107×C₅₉	C₂³	1	2	yes	—
271	#107×C₅₉	C₂³	1	2	yes	—
272	#107×C₅₉	C₂³	1	1	yes	characteristic
273	#107×C₅₉	C₂³	1	2	yes	—
274	#106×C₅₉	C₂³	1	1	yes	characteristic
275	#106×C₅₉	C₂³	1	2	yes	—
276	#106×C₅₉	C₂³	1	1	yes	characteristic
277	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
278	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
279	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
280	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
282	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
283	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
284	#103×C₅₉	C₂³	1	2	yes	—
285	#103×C₅₉	C₂³	1	2	yes	—
286	#103×C₅₉	C₂³	1	2	yes	—
287	#103×C₅₉	C₂³	1	2	yes	—
288	#103×C₅₉	C₂³	1	1	yes	characteristic
289	#103×C₅₉	C₂³	1	1	yes	characteristic
290	#103×C₅₉	C₂³	1	1	yes	characteristic
291	#103×C₅₉	C₂³	1	1	yes	characteristic
292	#103×C₅₉	C₂³	1	1	yes	characteristic
293	#103×C₅₉	C₂³	1	2	yes	—
294	#103×C₅₉	C₂³	1	1	yes	characteristic
295	#102×C₅₉	C₂³	1	2	yes	—
296	#102×C₅₉	C₂³	1	2	yes	—
297	#102×C₅₉	C₂³	1	2	yes	—
298	#102×C₅₉	C₂³	1	2	yes	—
299	#102×C₅₉	C₂³	1	1	yes	characteristic
300	#102×C₅₉	C₂³	1	2	yes	—
301	#102×C₅₉	C₂³	1	1	yes	characteristic
302	#102×C₅₉	C₂³	1	2	yes	—
303	#102×C₅₉	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
305	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
306	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
307	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
308	#97×C₅₉	C₂³	1	2	yes	—
309	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₅₉	C₂³	1	2	yes	—
312	#41×C₅₉	—	2	4	no	—
313	#41×C₅₉	—	4	2	no	—
314	#41×C₅₉	—	8	2	no	—
315	#41×C₅₉	—	8	4	no	—
316	#41×C₅₉	—	8	4	no	—
317	C₂×Q₈×C₅₉	—	2	1	no	—
318	C₂×Q₈×C₅₉	—	2	1	no	—
319	C₂×Q₈×C₅₉	—	2	2	no	—
320	C₂×Q₈×C₅₉	—	2	2	no	—
321	C₂×Q₈×C₅₉	—	2	1	no	—
322	C₂×Q₈×C₅₉	—	2	2	no	—
323	C₂×Q₈×C₅₉	—	2	1	no	—
324	C₂×Q₈×C₅₉	—	2	2	no	—
325	C₂×Q₈×C₅₉	—	4	1	no	—
326	C₂×Q₈×C₅₉	—	8	2	no	—
327	C₂×Q₈×C₅₉	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₅₉	—	2	2	no	—
332	C₂×D₄×C₅₉	—	2	2	no	—
333	C₂×D₄×C₅₉	—	2	1	no	—
334	C₂×D₄×C₅₉	—	2	2	no	—
335	C₂×D₄×C₅₉	—	2	2	no	—
336	C₂×D₄×C₅₉	—	2	1	no	—
337	C₂×D₄×C₅₉	—	2	1	no	—
338	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₅₉	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
341	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₅₉	—	2	1	no	—
343	C₂²×C₄×C₅₉	—	2	1	no	—
344	C₂²×C₄×C₅₉	—	2	2	no	—
345	C₂²×C₄×C₅₉	—	2	2	no	—
346	C₂²×C₄×C₅₉	—	2	2	no	—
347	C₂²×C₄×C₅₉	—	2	1	no	—
348	C₂²×C₄×C₅₉	—	2	2	no	—
349	C₂²×C₄×C₅₉	—	2	2	no	—
350	C₂²×C₄×C₅₉	—	2	2	no	—
351	C₂²×C₄×C₅₉	—	2	2	no	—
352	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
356	Q₁₆×C₅₉	—	2	2	no	—
357	Q₁₆×C₅₉	—	4	1	no	—
358	SD₁₆×C₅₉	—	2	2	no	—
359	SD₁₆×C₅₉	—	4	2	no	—
360	SD₁₆×C₅₉	—	4	1	no	—
361	D₈×C₅₉	—	4	2	no	—
362	M₁₆×C₅₉	—	4	2	no	—
363	C₂×C₈×C₅₉	—	4	2	no	—
364	C₂×C₈×C₅₉	—	4	2	no	—
365	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₅₉	C₂⁴	1	2	yes	—
370	C₂×C₈×C₅₉	C₂⁴	1	2	yes	—
371	C₄⋊C₄×C₅₉	—	2	1	no	—
372	C₄⋊C₄×C₅₉	—	2	1	no	—
373	C₄⋊C₄×C₅₉	—	2	2	no	—
374	C₄⋊C₄×C₅₉	—	2	1	no	—
375	C₄⋊C₄×C₅₉	—	2	2	no	—
376	C₄⋊C₄×C₅₉	—	2	1	no	—
377	C₄⋊C₄×C₅₉	—	2	1	no	—
378	C₄⋊C₄×C₅₉	—	2	1	no	—
379	C₄⋊C₄×C₅₉	—	2	2	no	—
380	C₄⋊C₄×C₅₉	—	2	2	no	—
381	C₄⋊C₄×C₅₉	—	2	1	no	—
382	C₄⋊C₄×C₅₉	—	2	2	no	—
383	C₄⋊C₄×C₅₉	—	2	2	no	—
384	C₄⋊C₄×C₅₉	—	2	2	no	—
385	C₄⋊C₄×C₅₉	—	2	2	no	—
386	C₄⋊C₄×C₅₉	—	2	1	no	—
387	C₄⋊C₄×C₅₉	—	2	1	no	—
388	C₄⋊C₄×C₅₉	—	2	1	no	—
389	C₄⋊C₄×C₅₉	—	2	2	no	—
390	C₄⋊C₄×C₅₉	—	2	1	no	—
391	C₄⋊C₄×C₅₉	—	2	2	no	—
392	C₄⋊C₄×C₅₉	—	2	2	no	—
393	C₄⋊C₄×C₅₉	—	2	1	no	—
394	C₄⋊C₄×C₅₉	—	2	2	no	—
395	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
396	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
397	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
398	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
399	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
400	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
401	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
402	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
403	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
407	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
408	C₂²⋊C₄×C₅₉	—	2	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	1	no	—
415	C₂²⋊C₄×C₅₉	—	2	2	no	—
416	C₂²⋊C₄×C₅₉	—	2	1	no	—
417	C₂²⋊C₄×C₅₉	—	2	2	no	—
418	C₂²⋊C₄×C₅₉	—	2	2	no	—
419	C₂²⋊C₄×C₅₉	—	2	2	no	—
420	C₂²⋊C₄×C₅₉	—	2	2	no	—
421	C₂²⋊C₄×C₅₉	—	2	1	no	—
422	C₂²⋊C₄×C₅₉	—	2	2	no	—
423	C₂²⋊C₄×C₅₉	—	2	1	no	—
424	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
425	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
426	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
427	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
428	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
429	C₄²×C₅₉	—	2	1	no	—
430	C₄²×C₅₉	—	2	1	no	—
431	C₄²×C₅₉	—	2	1	no	—
432	C₄²×C₅₉	—	2	1	no	—
433	C₄²×C₅₉	—	2	2	no	—
434	C₄²×C₅₉	—	2	2	no	—
435	C₄²×C₅₉	—	2	1	no	—
436	C₄²×C₅₉	—	2	2	no	—
437	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
438	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
439	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
440	C₄²×C₅₉	C₂⁴	1	2	yes	—
441	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
442	C₂³×C₅₉	—	2	1	no	—
443	C₂³×C₅₉	—	2	2	no	—
444	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
445	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
446	Q₈×C₅₉	—	2	2	no	—
447	Q₈×C₅₉	—	2	1	no	—
448	Q₈×C₅₉	—	2	1	no	—
449	Q₈×C₅₉	—	2	1	no	—
450	Q₈×C₅₉	—	2	1	no	—
451	Q₈×C₅₉	—	2	1	no	—
452	Q₈×C₅₉	—	4	2	no	—
453	Q₈×C₅₉	—	8	2	no	—
454	Q₈×C₅₉	—	8	1	no	—
455	Q₈×C₅₉	—	8	1	no	—
456	Q₈×C₅₉	—	8	1	no	—
457	Q₈×C₅₉	—	8	2	no	—
458	Q₈×C₅₉	—	8	2	no	—
459	Q₈×C₅₉	2₋¹⁺⁴	1	2	yes	—
460	D₄×C₅₉	—	2	4	no	—
461	D₄×C₅₉	—	2	2	no	—
462	D₄×C₅₉	—	2	1	no	—
463	D₄×C₅₉	—	2	2	no	—
464	D₄×C₅₉	—	2	1	no	—
465	D₄×C₅₉	—	2	2	no	—
466	D₄×C₅₉	—	4	4	no	—
467	D₄×C₅₉	—	4	4	no	—
468	D₄×C₅₉	—	4	2	no	—
469	D₄×C₅₉	—	4	2	no	—
470	D₄×C₅₉	—	8	1	no	—
471	D₄×C₅₉	—	8	2	no	—
472	D₄×C₅₉	—	8	2	no	—
473	C₂×C₄×C₅₉	—	2	2	no	—
474	C₂×C₄×C₅₉	—	2	1	no	—
475	C₂×C₄×C₅₉	—	2	2	no	—
476	C₂×C₄×C₅₉	—	2	1	no	—
477	C₂×C₄×C₅₉	—	2	2	no	—
478	C₂×C₄×C₅₉	—	2	1	no	—
479	C₂×C₄×C₅₉	—	2	2	no	—
480	C₂×C₄×C₅₉	—	2	1	no	—
481	C₂×C₄×C₅₉	—	2	1	no	—
482	C₂×C₄×C₅₉	—	2	1	no	—
483	C₂×C₄×C₅₉	—	2	1	no	—
484	C₂×C₄×C₅₉	—	2	1	no	—
485	C₂×C₄×C₅₉	—	2	2	no	—
486	C₂×C₄×C₅₉	—	2	2	no	—
487	C₂×C₄×C₅₉	—	2	1	no	—
488	C₂×C₄×C₅₉	—	2	2	no	—
489	C₂×C₄×C₅₉	—	4	4	no	—
490	C₂×C₄×C₅₉	—	4	2	no	—
491	C₂×C₄×C₅₉	—	4	4	no	—
492	C₂×C₄×C₅₉	—	4	2	no	—
493	C₂×C₄×C₅₉	—	4	2	no	—
494	C₂×C₄×C₅₉	—	8	2	no	—
495	C₂×C₄×C₅₉	—	8	2	no	—
496	C₂×C₄×C₅₉	—	8	2	no	—
497	C₂×C₄×C₅₉	—	8	2	no	—
498	C₂×C₄×C₅₉	—	8	2	no	—
499	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
501	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
502	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
504	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
506	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
508	C₈×C₅₉	—	2	1	no	—
509	C₈×C₅₉	—	2	1	no	—
510	C₈×C₅₉	—	2	2	no	—
511	C₈×C₅₉	—	2	1	no	—
512	C₈×C₅₉	—	2	2	no	—
513	C₈×C₅₉	—	2	1	no	—
514	#62206	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
515	C₂²×C₅₉	—	2	1	no	—
516	C₂²×C₅₉	—	2	1	no	—
517	C₂²×C₅₉	—	2	2	no	—
518	C₂²×C₅₉	—	2	2	no	—
519	C₂²×C₅₉	—	2	2	no	—
520	C₂²×C₅₉	—	4	2	no	—
521	C₂²×C₅₉	—	4	1	no	—
522	C₂²×C₅₉	—	4	2	no	—
523	C₂²×C₅₉	—	4	1	no	—
524	C₂²×C₅₉	—	4	1	no	—
525	C₂²×C₅₉	—	4	2	no	—
526	C₂²×C₅₉	#576	1	2	yes	—
527	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
528	C₄×C₅₉	—	2	2	no	—
529	C₄×C₅₉	—	2	1	no	—
530	C₄×C₅₉	—	2	2	no	—
531	C₄×C₅₉	—	2	1	no	—
532	C₄×C₅₉	—	2	1	no	—
533	C₄×C₅₉	—	2	2	no	—
534	C₄×C₅₉	—	2	1	no	—
535	C₄×C₅₉	—	2	2	no	—
536	C₄×C₅₉	—	4	1	no	—
537	C₄×C₅₉	—	4	1	no	—
538	C₄×C₅₉	—	4	1	no	—
539	C₄×C₅₉	—	4	2	no	—
540	C₄×C₅₉	—	4	1	no	—
541	C₄×C₅₉	—	4	2	no	—
542	C₄×C₅₉	—	4	2	no	—
543	C₄×C₅₉	—	4	1	no	—
544	C₄×C₅₉	—	4	1	no	—
545	C₄×C₅₉	#578	1	2	yes	—
546	C₄×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
547	C₄×C₅₉	#585	1	1	yes	characteristic
548	#3544	C₂×C₅₉	1	1	yes	characteristic, complemented
549	#3522	C₂×C₅₉	1	1	yes	characteristic, complemented
550	#3385	C₂×C₅₉	1	1	yes	characteristic, complemented
551	Q₈×Q₁₆	C₂×C₅₉	1	1	yes	characteristic, complemented
552	#3375	C₂×C₅₉	1	1	yes	characteristic, complemented
553	#3361	C₂×C₅₉	1	1	yes	characteristic, complemented
554	#3357	C₂×C₅₉	1	1	yes	characteristic, complemented
555	#3343	C₂×C₅₉	1	2	yes	complemented
556	#3338	C₂×C₅₉	1	1	yes	characteristic, complemented
557	#3334	C₂×C₅₉	1	2	yes	complemented
558	#3333	C₂×C₅₉	1	1	yes	characteristic, complemented
559	#3308	C₂×C₅₉	1	2	yes	complemented
560	#3305	C₂×C₅₉	1	1	yes	characteristic, complemented
561	#3300	C₂×C₅₉	1	2	yes	complemented
562	#3262	C₂×C₅₉	1	2	yes	complemented
563	#3247	C₂×C₅₉	1	1	yes	characteristic, complemented
564	#3243	C₂×C₅₉	1	2	yes	complemented
565	#3226	C₂×C₅₉	1	1	yes	characteristic, complemented
566	#3124	C₂×C₅₉	1	2	yes	complemented
567	#3108	C₂×C₅₉	1	1	yes	characteristic, complemented
568	#3083	C₂×C₅₉	1	2	yes	complemented
569	C₂×#477	C₂×C₅₉	1	1	yes	characteristic, complemented
570	#2994	C₂×C₅₉	1	1	yes	characteristic, complemented
571	C₂×C₅₉	—	2	2	no	—
572	C₂×C₅₉	—	4	2	no	—
573	C₂×C₅₉	—	8	2	no	—
574	C₂×C₅₉	—	8	1	no	—
575	C₂×C₅₉	#3489	1	1	yes	characteristic
576	C₂×C₅₉	C₂×#576	1	1	yes	characteristic
577	C₂×C₅₉	C₂×#578	1	1	yes	characteristic
578	#563	—	2	2	no	—
579	#559	—	2	1	no	—
580	#559	C₂²×C₅₉	1	1	yes	characteristic
581	Q₈²	C₂²×C₅₉	1	1	yes	characteristic
582	Q₈²	C₂²×C₅₉	1	1	yes	characteristic
583	#555	C₂²×C₅₉	1	1	yes	characteristic
584	#554	—	2	1	no	—
585	#554	C₂²×C₅₉	1	1	yes	characteristic
586	#554	C₂²×C₅₉	1	1	yes	characteristic
587	#554	C₂²×C₅₉	1	1	yes	characteristic
588	#552	—	2	1	no	—
589	#552	C₂²×C₅₉	1	2	yes	—
590	#550	C₂²×C₅₉	1	1	yes	characteristic
591	#548	C₂²×C₅₉	1	2	yes	—
592	#547	—	2	2	no	—
593	#547	—	2	1	no	—
594	#547	C₂²×C₅₉	1	2	yes	—
595	#547	C₂²×C₅₉	1	2	yes	—
596	#544	—	2	1	no	—
597	#544	C₂²×C₅₉	1	2	yes	—
598	#542	—	2	2	no	—
599	#542	—	2	1	no	—
600	#542	C₂²×C₅₉	1	2	yes	—
601	#542	C₂²×C₅₉	1	2	yes	—
602	#536	—	2	2	no	—
603	#532	—	2	1	no	—
604	#532	C₂²×C₅₉	1	1	yes	characteristic
605	C₂×C₄⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
606	#529	—	2	1	no	—
607	#529	C₂²×C₅₉	1	1	yes	characteristic
608	#529	C₂²×C₅₉	1	1	yes	characteristic
609	#520	C₂²×C₅₉	1	2	yes	—
610	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
611	#501	C₂²×C₅₉	1	2	yes	—
612	#500	C₂²×C₅₉	1	2	yes	—
613	#500	C₂²×C₅₉	1	1	yes	characteristic
614	#500	C₂²×C₅₉	1	1	yes	characteristic
615	#489	C₂²×C₅₉	1	2	yes	—
616	#488	C₂²×C₅₉	1	2	yes	—
617	#486	C₂²×C₅₉	1	1	yes	characteristic
618	#486	C₂²×C₅₉	1	1	yes	characteristic
619	#485	C₂²×C₅₉	1	2	yes	—
620	#484	C₂²×C₅₉	1	2	yes	—
621	#484	C₂²×C₅₉	1	2	yes	—
622	#483	C₂²×C₅₉	1	1	yes	characteristic
623	#482	C₂²×C₅₉	1	2	yes	—
624	#480	C₂²×C₅₉	1	2	yes	—
625	#480	C₂²×C₅₉	1	1	yes	characteristic
626	#480	C₂²×C₅₉	1	2	yes	—
627	#480	C₂²×C₅₉	1	2	yes	—
628	#480	C₂²×C₅₉	1	2	yes	—
629	#479	C₂²×C₅₉	1	1	yes	characteristic
630	#479	C₂²×C₅₉	1	2	yes	—
631	#479	C₂²×C₅₉	1	1	yes	characteristic
632	#478	C₂²×C₅₉	1	2	yes	—
633	#478	C₂²×C₅₉	1	2	yes	—
634	#477	C₂²×C₅₉	1	1	yes	characteristic
635	#477	C₂²×C₅₉	1	1	yes	characteristic
636	#477	C₂²×C₅₉	1	2	yes	—
637	#477	C₂²×C₅₉	1	1	yes	characteristic
638	#477	C₂²×C₅₉	1	1	yes	characteristic
639	#477	C₂²×C₅₉	1	2	yes	—
640	#477	C₂²×C₅₉	1	1	yes	characteristic
641	#477	C₂²×C₅₉	1	2	yes	—
642	#477	C₂²×C₅₉	1	2	yes	—
643	#476	C₂²×C₅₉	1	1	yes	characteristic
644	#474	C₂²×C₅₉	1	2	yes	—
645	#474	C₂²×C₅₉	1	2	yes	—
646	#474	C₂²×C₅₉	1	2	yes	—
647	#474	C₂²×C₅₉	1	2	yes	—
648	#468	C₂²×C₅₉	1	2	yes	—
649	#468	C₂²×C₅₉	1	2	yes	—
650	#467	C₂²×C₅₉	1	2	yes	—
651	#466	C₂²×C₅₉	1	2	yes	—
652	#466	C₂²×C₅₉	1	2	yes	—
653	#465	C₂²×C₅₉	1	2	yes	—
654	#464	C₂²×C₅₉	1	1	yes	characteristic
655	#464	C₂²×C₅₉	1	1	yes	characteristic
656	#464	C₂²×C₅₉	1	2	yes	—
657	#463	C₂²×C₅₉	1	2	yes	—
658	#463	C₂²×C₅₉	1	2	yes	—
659	#460	C₂²×C₅₉	1	1	yes	characteristic
660	#459	C₂²×C₅₉	1	1	yes	characteristic
661	#452	C₂²×C₅₉	1	2	yes	—
662	#451	C₂²×C₅₉	1	1	yes	characteristic
663	#449	C₂²×C₅₉	1	2	yes	—
664	#448	C₂²×C₅₉	1	1	yes	characteristic
665	#446	C₂²×C₅₉	1	1	yes	characteristic
666	C₈×Q₈	C₂²×C₅₉	1	1	yes	characteristic
667	#440	C₂²×C₅₉	1	2	yes	—
668	#440	C₂²×C₅₉	1	2	yes	—
669	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
670	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
671	C₄×Q₁₆	C₂²×C₅₉	1	2	yes	—
672	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
673	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
674	C₄×D₈	C₂²×C₅₉	1	2	yes	—
675	#436	C₂²×C₅₉	1	1	yes	characteristic
676	#435	C₂²×C₅₉	1	2	yes	—
677	C₈×D₄	C₂²×C₅₉	1	2	yes	—
678	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
679	#433	C₂²×C₅₉	1	2	yes	—
680	#431	C₂²×C₅₉	1	1	yes	characteristic
681	#428	C₂²×C₅₉	1	2	yes	—
682	C₂×#107	C₂²×C₅₉	1	2	yes	—
683	C₂×#107	C₂²×C₅₉	1	2	yes	—
684	#424	C₂²×C₅₉	1	2	yes	—
685	C₂×C₄⋊C₈	C₂²×C₅₉	1	1	yes	characteristic
686	#417	C₂²×C₅₉	1	2	yes	—
687	#416	C₂²×C₅₉	1	2	yes	—
688	C₂×#103	C₂²×C₅₉	1	2	yes	—
689	C₅₉	#62206	1	1	yes	characteristic, direct product factor, Sylow
690	C₂×#41	—	2	2	no	—
691	C₂×#41	—	2	2	no	—
692	C₂×#41	—	2	1	no	—
693	C₂×#41	C₂³×C₅₉	1	2	yes	—
694	C₂²×Q₈	—	2	1	no	—
695	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
696	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
697	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
698	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
699	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
700	C₂×SD₁₆	C₂³×C₅₉	1	2	yes	—
701	C₂×D₈	C₂³×C₅₉	1	2	yes	—
702	C₂×M₁₆	C₂³×C₅₉	1	2	yes	—
703	C₂²×C₈	C₂³×C₅₉	1	2	yes	—
704	C₂²×C₈	C₂³×C₅₉	1	2	yes	—
705	C₄⋊Q₈	—	2	1	no	—
706	C₄⋊Q₈	—	2	2	no	—
707	C₄⋊Q₈	—	2	2	no	—
708	C₄⋊Q₈	—	2	2	no	—
709	C₄⋊Q₈	—	2	1	no	—
710	C₄⋊Q₈	—	2	1	no	—
711	C₄⋊Q₈	—	2	1	no	—
712	C₄⋊Q₈	C₂³×C₅₉	1	2	yes	—
713	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
714	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
715	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₅₉	1	2	yes	—
717	C₄⋊Q₈	C₂³×C₅₉	1	2	yes	—
718	#127	—	2	1	no	—
719	#127	C₂³×C₅₉	1	1	yes	characteristic
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#126	—	2	2	no	—
723	#126	—	2	1	no	—
724	#126	D₄×C₅₉	1	2	yes	—
725	#125	—	2	1	no	—
726	#125	—	2	1	no	—
727	#125	—	2	2	no	—
728	#125	—	2	2	no	—
729	#125	D₄×C₅₉	1	1	yes	characteristic
730	#125	C₂³×C₅₉	1	1	yes	characteristic
731	#125	C₂³×C₅₉	1	2	yes	—
732	#124	—	2	1	no	—
733	#124	—	2	2	no	—
734	#124	—	2	2	no	—
735	#124	—	2	2	no	—
736	#124	—	2	2	no	—
737	#124	—	2	1	no	—
738	#124	D₄×C₅₉	1	1	yes	characteristic
739	#124	C₂³×C₅₉	1	1	yes	characteristic
740	#124	C₂³×C₅₉	1	2	yes	—
741	#123	—	2	2	no	—
742	#123	—	2	1	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	D₄×C₅₉	1	2	yes	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	D₄×C₅₉	1	1	yes	characteristic
763	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
764	C₂²⋊Q₈	C₂³×C₅₉	1	2	yes	—
765	C₂²⋊Q₈	C₂³×C₅₉	1	2	yes	—
766	#121	—	2	2	no	—
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	—	2	2	no	—
770	#121	D₄×C₅₉	1	1	yes	characteristic
771	#121	C₂³×C₅₉	1	1	yes	characteristic
772	#121	C₂³×C₅₉	1	2	yes	—
773	#121	C₂³×C₅₉	1	2	yes	—
774	#121	C₂³×C₅₉	1	2	yes	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	1	no	—
779	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
783	C₄×Q₈	C₂³×C₅₉	1	2	yes	—
784	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₅₉	1	2	yes	—
786	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	C₂³×C₅₉	1	2	yes	—
797	C₄×D₄	C₂³×C₅₉	1	2	yes	—
798	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
799	C₄×D₄	C₂³×C₅₉	1	2	yes	—
800	C₄×D₄	C₂³×C₅₉	1	2	yes	—
801	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
802	#117	—	2	2	no	—
803	#117	—	2	1	no	—
804	#117	—	2	2	no	—
805	#117	—	2	1	no	—
806	#117	C₂³×C₅₉	1	2	yes	—
807	#117	C₂³×C₅₉	1	2	yes	—
808	C₂×C₄⋊C₄	—	2	1	no	—
809	C₂×C₄⋊C₄	—	2	1	no	—
810	C₂×C₄⋊C₄	—	2	2	no	—
811	C₂×C₄⋊C₄	—	2	1	no	—
812	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
814	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
815	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
816	C₂×C₄²	—	2	1	no	—
817	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
818	#107	C₂³×C₅₉	1	2	yes	—
819	#107	C₂³×C₅₉	1	1	yes	characteristic
820	#107	C₂³×C₅₉	1	2	yes	—
821	#107	C₂³×C₅₉	1	2	yes	—
822	#107	C₂³×C₅₉	1	2	yes	—
823	#107	C₂³×C₅₉	1	2	yes	—
824	#107	C₂³×C₅₉	1	2	yes	—
825	#107	C₂³×C₅₉	1	2	yes	—
826	#107	C₂³×C₅₉	1	2	yes	—
827	#107	C₂³×C₅₉	1	1	yes	characteristic
828	#107	C₂³×C₅₉	1	2	yes	—
829	#106	C₂³×C₅₉	1	1	yes	characteristic
830	#106	C₂³×C₅₉	1	2	yes	—
831	#106	C₂³×C₅₉	1	1	yes	characteristic
832	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
833	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
834	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
835	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
836	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
837	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
838	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
839	#103	C₂³×C₅₉	1	2	yes	—
840	#103	C₂³×C₅₉	1	2	yes	—
841	#103	C₂³×C₅₉	1	2	yes	—
842	#103	C₂³×C₅₉	1	2	yes	—
843	#103	C₂³×C₅₉	1	1	yes	characteristic
844	#103	C₂³×C₅₉	1	1	yes	characteristic
845	#103	C₂³×C₅₉	1	1	yes	characteristic
846	#103	C₂³×C₅₉	1	1	yes	characteristic
847	#103	C₂³×C₅₉	1	1	yes	characteristic
848	#103	C₂³×C₅₉	1	2	yes	—
849	#103	C₂³×C₅₉	1	1	yes	characteristic
850	#102	C₂³×C₅₉	1	2	yes	—
851	#102	C₂³×C₅₉	1	2	yes	—
852	#102	C₂³×C₅₉	1	2	yes	—
853	#102	C₂³×C₅₉	1	2	yes	—
854	#102	C₂³×C₅₉	1	1	yes	characteristic
855	#102	C₂³×C₅₉	1	2	yes	—
856	#102	C₂³×C₅₉	1	1	yes	characteristic
857	#102	C₂³×C₅₉	1	2	yes	—
858	#102	C₂³×C₅₉	1	2	yes	—
859	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
860	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
861	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
863	#97	C₂³×C₅₉	1	2	yes	—
864	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
865	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
866	C₄×C₈	C₂³×C₅₉	1	2	yes	—
867	#41	—	2	4	no	—
868	#41	—	4	2	no	—
869	#41	—	8	2	no	—
870	#41	—	8	4	no	—
871	#41	—	8	4	no	—
872	C₂×Q₈	—	2	1	no	—
873	C₂×Q₈	—	2	1	no	—
874	C₂×Q₈	—	2	2	no	—
875	C₂×Q₈	—	2	2	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	4	1	no	—
881	C₂×Q₈	—	8	2	no	—
882	C₂×Q₈	C₂×D₄×C₅₉	1	1	yes	characteristic
883	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
884	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
885	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	1	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
894	C₂×D₄	C₂×D₄×C₅₉	1	2	yes	—
895	C₂×D₄	C₂⁴×C₅₉	1	2	yes	—
896	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
908	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
911	Q₁₆	—	2	2	no	—
912	Q₁₆	—	4	1	no	—
913	SD₁₆	—	2	2	no	—
914	SD₁₆	—	4	2	no	—
915	SD₁₆	—	4	1	no	—
916	D₈	—	4	2	no	—
917	M₁₆	—	4	2	no	—
918	C₂×C₈	—	4	2	no	—
919	C₂×C₈	—	4	2	no	—
920	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
921	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
922	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
923	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
924	C₂×C₈	C₂⁴×C₅₉	1	2	yes	—
925	C₂×C₈	C₂⁴×C₅₉	1	2	yes	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
951	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
952	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
953	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
954	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
955	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
956	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
957	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
958	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
959	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
960	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
961	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
962	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
963	C₂²⋊C₄	—	2	1	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
981	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
982	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
983	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	2	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	2	no	—
992	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
993	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
994	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
995	C₄²	C₂⁴×C₅₉	1	2	yes	—
996	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
997	C₂³	—	2	1	no	—
998	C₂³	—	2	2	no	—
999	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
1000	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1001	Q₈	—	2	2	no	—
1002	Q₈	—	2	1	no	—
1003	Q₈	—	2	1	no	—
1004	Q₈	—	2	1	no	—
1005	Q₈	—	2	1	no	—
1006	Q₈	—	2	1	no	—
1007	Q₈	—	4	2	no	—
1008	Q₈	—	8	2	no	—
1009	Q₈	—	8	1	no	—
1010	Q₈	—	8	1	no	—
1011	Q₈	—	8	1	no	—
1012	Q₈	—	8	2	no	—
1013	Q₈	—	8	2	no	—
1014	Q₈	2₋¹⁺⁴×C₅₉	1	2	yes	—
1015	D₄	—	2	4	no	—
1016	D₄	—	2	2	no	—
1017	D₄	—	2	1	no	—
1018	D₄	—	2	2	no	—
1019	D₄	—	2	1	no	—
1020	D₄	—	2	2	no	—
1021	D₄	—	4	4	no	—
1022	D₄	—	4	4	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	4	2	no	—
1025	D₄	—	8	1	no	—
1026	D₄	—	8	2	no	—
1027	D₄	—	8	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	4	4	no	—
1045	C₂×C₄	—	4	2	no	—
1046	C₂×C₄	—	4	4	no	—
1047	C₂×C₄	—	4	2	no	—
1048	C₂×C₄	—	4	2	no	—
1049	C₂×C₄	—	8	2	no	—
1050	C₂×C₄	—	8	2	no	—
1051	C₂×C₄	—	8	2	no	—
1052	C₂×C₄	—	8	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1055	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1056	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1057	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1058	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1059	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1060	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1061	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1062	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1063	C₈	—	2	1	no	—
1064	C₈	—	2	1	no	—
1065	C₈	—	2	2	no	—
1066	C₈	—	2	1	no	—
1067	C₈	—	2	2	no	—
1068	C₈	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	2	2	no	—
1073	C₂²	—	2	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	2	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	C₅₉×#576	1	2	yes	—
1081	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1082	C₄	—	2	1	no	—
1083	C₄	—	2	1	no	—
1084	C₄	—	2	2	no	—
1085	C₄	—	2	1	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	—	4	2	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	C₅₉×#578	1	2	yes	—
1100	C₄	C₂×2₋¹⁺⁴×C₅₉	1	1	yes	characteristic
1101	C₄	C₅₉×#585	1	1	yes	characteristic
1102	C₂	—	2	2	no	—
1103	C₂	—	4	2	no	—
1104	C₂	—	8	1	no	—
1105	C₂	—	8	2	no	—
1106	C₂	C₅₉×#3489	1	1	yes	characteristic
1107	C₂	C₂×C₅₉×#576	1	1	yes	characteristic
1108	C₂	C₂×C₅₉×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅₉ ◁ C₅₉×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₉×#3544	C₂	semidirect
2. C₅₉×#3522	C₂	semidirect
3. C₅₉×#3385	C₂	semidirect
4. Q₈×Q₁₆×C₅₉	C₂	semidirect
5. C₅₉×#3375	C₂	semidirect
6. C₅₉×#3361	C₂	semidirect
7. C₅₉×#3357	C₂	semidirect
8. C₅₉×#3343	C₂	semidirect
9. C₅₉×#3338	C₂	semidirect
10. C₅₉×#3334	C₂	semidirect
11. C₅₉×#3333	C₂	semidirect
12. C₅₉×#3308	C₂	semidirect
13. C₅₉×#3305	C₂	semidirect
14. C₅₉×#3300	C₂	semidirect
15. C₅₉×#3262	C₂	semidirect
16. C₅₉×#3247	C₂	semidirect
17. C₅₉×#3243	C₂	semidirect
18. C₅₉×#3226	C₂	semidirect
19. C₅₉×#3124	C₂	semidirect
20. C₅₉×#3108	C₂	semidirect
21. C₅₉×#3083	C₂	semidirect
22. C₂×C₅₉×#477	C₂	semidirect
23. C₅₉×#2994	C₂	semidirect
514. #62206	C₅₉	direct (N × H)
548. #3544	C₂×C₅₉	semidirect
549. #3522	C₂×C₅₉	semidirect
550. #3385	C₂×C₅₉	semidirect
551. Q₈×Q₁₆	C₂×C₅₉	semidirect
552. #3375	C₂×C₅₉	semidirect
553. #3361	C₂×C₅₉	semidirect
554. #3357	C₂×C₅₉	semidirect
555. #3343	C₂×C₅₉	semidirect
556. #3338	C₂×C₅₉	semidirect
557. #3334	C₂×C₅₉	semidirect
558. #3333	C₂×C₅₉	semidirect
559. #3308	C₂×C₅₉	semidirect
560. #3305	C₂×C₅₉	semidirect
561. #3300	C₂×C₅₉	semidirect
562. #3262	C₂×C₅₉	semidirect
563. #3247	C₂×C₅₉	semidirect
564. #3243	C₂×C₅₉	semidirect
565. #3226	C₂×C₅₉	semidirect
566. #3124	C₂×C₅₉	semidirect
567. #3108	C₂×C₅₉	semidirect
568. #3083	C₂×C₅₉	semidirect
569. C₂×#477	C₂×C₅₉	semidirect
570. #2994	C₂×C₅₉	semidirect
689. C₅₉	#62206	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅₉×#3544	2
C₅₉×#3522	2
C₅₉×#3385	2
Q₈×Q₁₆×C₅₉	2
C₅₉×#3375	2
C₅₉×#3361	2
C₅₉×#3357	2
C₅₉×#3343	2
C₅₉×#3338	2
C₅₉×#3334	2
C₅₉×#3333	2
C₅₉×#3308	2
C₅₉×#3305	2
C₅₉×#3300	2
C₅₉×#3262	2
C₅₉×#3247	2
C₅₉×#3243	2
C₅₉×#3226	2
C₅₉×#3124	2
C₅₉×#3108	2
C₅₉×#3083	2
C₂×C₅₉×#477	2
C₅₉×#2994	2
#62206	59

Subgroups — C59×#62206 #28474315

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62206 #28474315