Subgroups — C₅₉×#33806 #28445915

Order 15104.

462 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3168	C₂	1	1	yes	maximal, characteristic
2	C₅₉×#3160	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2255	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#2255	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2243	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2243	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#2237	C₂	1	2	yes	maximal, complemented
8	C₅₉×#2234	C₂	1	2	yes	maximal
9	C₅₉×#2229	C₂	1	2	yes	maximal, complemented
10	C₅₉×#2228	C₂	1	2	yes	maximal, complemented
11	C₅₉×#2163	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#533	—	2	1	no	—
13	C₅₉×#529	—	2	1	no	—
14	C₅₉×#500	C₂²	1	1	yes	characteristic
15	C₅₉×#500	C₂²	1	1	yes	characteristic
16	C₅₉×#499	—	2	1	no	—
17	C₅₉×#499	C₂²	1	2	yes	—
18	C₅₉×#499	C₂²	1	1	yes	characteristic
19	C₅₉×#498	—	2	1	no	—
20	C₅₉×#495	C₂²	1	1	yes	characteristic
21	C₅₉×#488	—	2	1	no	—
22	C₅₉×#467	C₂²	1	1	yes	characteristic
23	C₅₉×#466	C₂²	1	1	yes	characteristic
24	C₅₉×#465	—	2	1	no	—
25	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic
26	C₄×SD₁₆×C₅₉	—	2	1	no	—
27	C₄×D₈×C₅₉	C₂²	1	1	yes	characteristic
28	C₅₉×#427	—	2	1	no	—
29	C₅₉×#427	C₂²	1	2	yes	—
30	C₂×C₄×C₈×C₅₉	C₂²	1	1	yes	characteristic
31	C₅₉×#367	C₂²	1	2	yes	—
32	C₅₉×#367	C₂²	1	2	yes	—
33	C₅₉×#366	C₂²	1	2	yes	—
34	C₅₉×#366	C₂²	1	2	yes	—
35	C₅₉×C₄⋊C₁₆	C₂²	1	2	yes	—
36	C₅₉×#358	C₂²	1	2	yes	—
37	C₅₉×#358	C₂²	1	2	yes	—
38	C₅₉×#357	C₂²	1	2	yes	—
39	C₅₉×#357	C₂²	1	2	yes	—
40	C₅₉×C₂²⋊C₁₆	C₂²	1	2	yes	—
41	C₅₉×#346	C₂²	1	1	yes	characteristic
42	C₅₉×#346	C₂²	1	1	yes	characteristic
43	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
44	C₂×SD₁₆×C₅₉	—	2	1	no	—
45	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₅₉	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
48	C₄⋊Q₈×C₅₉	—	2	1	no	—
49	C₄⋊Q₈×C₅₉	—	2	1	no	—
50	#126×C₅₉	—	4	1	no	—
51	#125×C₅₉	—	2	1	no	—
52	#125×C₅₉	—	2	2	no	—
53	#124×C₅₉	—	2	1	no	—
54	#123×C₅₉	—	4	1	no	—
55	C₂²⋊Q₈×C₅₉	—	2	1	no	—
56	C₂²⋊Q₈×C₅₉	—	4	1	no	—
57	C₂²⋊Q₈×C₅₉	—	4	1	no	—
58	#121×C₅₉	—	2	1	no	—
59	C₄×Q₈×C₅₉	—	2	1	no	—
60	C₄×Q₈×C₅₉	—	4	1	no	—
61	C₄×Q₈×C₅₉	—	4	1	no	—
62	C₄×D₄×C₅₉	—	2	1	no	—
63	C₄×D₄×C₅₉	—	4	1	no	—
64	#117×C₅₉	—	2	2	no	—
65	#117×C₅₉	—	4	1	no	—
66	C₂×C₄²×C₅₉	D₄	1	1	yes	characteristic
67	C₂×C₁₆×C₅₉	C₂³	1	2	yes	—
68	C₂×C₁₆×C₅₉	C₂³	1	2	yes	—
69	#107×C₅₉	—	2	1	no	—
70	#107×C₅₉	—	2	1	no	—
71	#107×C₅₉	C₂³	1	2	yes	—
72	#107×C₅₉	C₂³	1	2	yes	—
73	#107×C₅₉	C₂³	1	1	yes	characteristic
74	#107×C₅₉	C₂³	1	1	yes	characteristic
75	#106×C₅₉	—	2	2	no	—
76	#106×C₅₉	—	2	2	no	—
77	#106×C₅₉	—	2	1	no	—
78	#103×C₅₉	—	2	1	no	—
79	#103×C₅₉	—	2	1	no	—
80	#102×C₅₉	—	2	1	no	—
81	#102×C₅₉	—	2	1	no	—
82	C₄×C₈×C₅₉	D₄	1	1	yes	characteristic
83	C₄×C₈×C₅₉	D₄	1	1	yes	characteristic
84	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
85	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
86	C₂×Q₈×C₅₉	—	2	1	no	—
87	C₂×Q₈×C₅₉	—	4	1	no	—
88	C₂×Q₈×C₅₉	—	4	1	no	—
89	C₂×D₄×C₅₉	—	2	1	no	—
90	C₂×D₄×C₅₉	—	4	1	no	—
91	C₂²×C₄×C₅₉	—	4	1	no	—
92	C₂²×C₄×C₅₉	D₈	1	1	yes	characteristic
93	C₂²×C₄×C₅₉	D₈	1	1	yes	characteristic
94	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
95	Q₁₆×C₅₉	—	2	2	no	—
96	SD₁₆×C₅₉	—	4	2	no	—
97	D₈×C₅₉	—	2	2	no	—
98	C₂×C₈×C₅₉	—	2	2	no	—
99	C₂×C₈×C₅₉	—	2	2	no	—
100	C₂×C₈×C₅₉	C₂×D₄	1	1	yes	characteristic
101	C₂×C₈×C₅₉	C₂×D₄	1	1	yes	characteristic
102	C₂×C₈×C₅₉	C₂×D₄	1	1	yes	characteristic
103	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
104	C₄⋊C₄×C₅₉	—	2	1	no	—
105	C₄⋊C₄×C₅₉	—	2	1	no	—
106	C₄⋊C₄×C₅₉	—	2	2	no	—
107	C₄⋊C₄×C₅₉	—	2	2	no	—
108	C₄⋊C₄×C₅₉	—	4	1	no	—
109	C₄⋊C₄×C₅₉	—	4	1	no	—
110	C₄⋊C₄×C₅₉	—	4	1	no	—
111	C₄⋊C₄×C₅₉	—	4	1	no	—
112	C₄⋊C₄×C₅₉	—	4	2	no	—
113	C₄⋊C₄×C₅₉	—	4	2	no	—
114	C₄⋊C₄×C₅₉	—	4	1	no	—
115	C₄⋊C₄×C₅₉	—	4	1	no	—
116	C₂²⋊C₄×C₅₉	—	4	2	no	—
117	C₂²⋊C₄×C₅₉	—	4	1	no	—
118	C₂²⋊C₄×C₅₉	—	4	1	no	—
119	C₂²⋊C₄×C₅₉	—	4	1	no	—
120	C₂²⋊C₄×C₅₉	—	4	1	no	—
121	C₂²⋊C₄×C₅₉	—	4	1	no	—
122	C₄²×C₅₉	—	4	2	no	—
123	C₄²×C₅₉	—	4	1	no	—
124	C₄²×C₅₉	D₈	1	1	yes	characteristic
125	C₄²×C₅₉	D₈	1	1	yes	characteristic
126	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
128	C₁₆×C₅₉	—	2	2	no	—
129	C₁₆×C₅₉	—	2	2	no	—
130	C₂³×C₅₉	—	4	1	no	—
131	C₂³×C₅₉	C₂×D₈	1	1	yes	characteristic
132	Q₈×C₅₉	—	4	1	no	—
133	Q₈×C₅₉	—	4	1	no	—
134	Q₈×C₅₉	—	8	2	no	—
135	Q₈×C₅₉	—	8	2	no	—
136	D₄×C₅₉	—	4	1	no	—
137	D₄×C₅₉	—	4	1	no	—
138	D₄×C₅₉	—	8	2	no	—
139	C₂×C₄×C₅₉	—	2	1	no	—
140	C₂×C₄×C₅₉	—	2	1	no	—
141	C₂×C₄×C₅₉	—	4	1	no	—
142	C₂×C₄×C₅₉	—	4	1	no	—
143	C₂×C₄×C₅₉	—	4	1	no	—
144	C₂×C₄×C₅₉	—	4	1	no	—
145	C₂×C₄×C₅₉	—	4	2	no	—
146	C₂×C₄×C₅₉	—	4	2	no	—
147	C₂×C₄×C₅₉	—	4	1	no	—
148	C₂×C₄×C₅₉	—	8	2	no	—
149	C₂×C₄×C₅₉	C₂×D₈	1	1	yes	characteristic
150	C₂×C₄×C₅₉	C₂×D₈	1	1	yes	characteristic
151	C₂×C₄×C₅₉	C₂×D₈	1	1	yes	characteristic
152	C₂×C₄×C₅₉	C₂×D₈	1	1	yes	characteristic
153	C₂×C₄×C₅₉	C₂×D₈	1	1	yes	characteristic
154	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
155	C₈×C₅₉	—	2	1	no	—
156	C₈×C₅₉	—	2	1	no	—
157	C₈×C₅₉	#137	1	2	yes	—
158	C₈×C₅₉	2₋¹⁺⁴	1	2	yes	—
159	#33806	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
160	C₂²×C₅₉	—	2	1	no	—
161	C₂²×C₅₉	—	2	1	no	—
162	C₂²×C₅₉	—	2	1	no	—
163	C₂²×C₅₉	—	8	1	no	—
164	C₂²×C₅₉	—	8	1	no	—
165	C₂²×C₅₉	—	8	1	no	—
166	C₂²×C₅₉	C₂²×D₈	1	1	yes	characteristic
167	C₄×C₅₉	—	2	1	no	—
168	C₄×C₅₉	—	2	1	no	—
169	C₄×C₅₉	—	2	1	no	—
170	C₄×C₅₉	—	2	1	no	—
171	C₄×C₅₉	—	2	1	no	—
172	C₄×C₅₉	—	8	1	no	—
173	C₄×C₅₉	—	8	1	no	—
174	C₄×C₅₉	—	8	2	no	—
175	C₄×C₅₉	—	8	2	no	—
176	C₄×C₅₉	—	8	1	no	—
177	C₄×C₅₉	#536	1	1	yes	characteristic
178	C₄×C₅₉	C₂×#137	1	1	yes	characteristic
179	#3168	C₂×C₅₉	1	1	yes	characteristic
180	#3160	C₂×C₅₉	1	1	yes	characteristic, complemented
181	#2255	C₂×C₅₉	1	1	yes	characteristic, complemented
182	#2255	C₂×C₅₉	1	1	yes	characteristic, complemented
183	#2243	C₂×C₅₉	1	1	yes	characteristic, complemented
184	#2243	C₂×C₅₉	1	1	yes	characteristic, complemented
185	#2237	C₂×C₅₉	1	2	yes	complemented
186	#2234	C₂×C₅₉	1	2	yes	—
187	#2229	C₂×C₅₉	1	2	yes	complemented
188	#2228	C₂×C₅₉	1	2	yes	complemented
189	#2163	C₂×C₅₉	1	1	yes	characteristic, complemented
190	C₂×C₅₉	—	4	1	no	—
191	C₂×C₅₉	—	16	1	no	—
192	C₂×C₅₉	#3226	1	1	yes	characteristic
193	C₂×C₅₉	#3414	1	1	yes	characteristic
194	C₂×C₅₉	#3414	1	1	yes	characteristic
195	#533	—	2	1	no	—
196	#529	—	2	1	no	—
197	#500	C₂²×C₅₉	1	1	yes	characteristic
198	#500	C₂²×C₅₉	1	1	yes	characteristic
199	#499	—	2	1	no	—
200	#499	C₂²×C₅₉	1	2	yes	—
201	#499	C₂²×C₅₉	1	1	yes	characteristic
202	#498	—	2	1	no	—
203	#495	C₂²×C₅₉	1	1	yes	characteristic
204	#488	—	2	1	no	—
205	#467	C₂²×C₅₉	1	1	yes	characteristic
206	#466	C₂²×C₅₉	1	1	yes	characteristic
207	#465	—	2	1	no	—
208	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic
209	C₄×SD₁₆	—	2	1	no	—
210	C₄×D₈	C₂²×C₅₉	1	1	yes	characteristic
211	#427	—	2	1	no	—
212	#427	C₂²×C₅₉	1	2	yes	—
213	C₂×C₄×C₈	C₂²×C₅₉	1	1	yes	characteristic
214	#367	C₂²×C₅₉	1	2	yes	—
215	#367	C₂²×C₅₉	1	2	yes	—
216	#366	C₂²×C₅₉	1	2	yes	—
217	#366	C₂²×C₅₉	1	2	yes	—
218	C₄⋊C₁₆	C₂²×C₅₉	1	2	yes	—
219	#358	C₂²×C₅₉	1	2	yes	—
220	#358	C₂²×C₅₉	1	2	yes	—
221	#357	C₂²×C₅₉	1	2	yes	—
222	#357	C₂²×C₅₉	1	2	yes	—
223	C₂²⋊C₁₆	C₂²×C₅₉	1	2	yes	—
224	#346	C₂²×C₅₉	1	1	yes	characteristic
225	#346	C₂²×C₅₉	1	1	yes	characteristic
226	C₅₉	#33806	1	1	yes	characteristic, direct product factor, Sylow
227	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
228	C₂×SD₁₆	—	2	1	no	—
229	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
230	C₂²×C₈	D₄×C₅₉	1	1	yes	characteristic
231	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
232	C₄⋊Q₈	—	2	1	no	—
233	C₄⋊Q₈	—	2	1	no	—
234	#126	—	4	1	no	—
235	#125	—	2	1	no	—
236	#125	—	2	2	no	—
237	#124	—	2	1	no	—
238	#123	—	4	1	no	—
239	C₂²⋊Q₈	—	2	1	no	—
240	C₂²⋊Q₈	—	4	1	no	—
241	C₂²⋊Q₈	—	4	1	no	—
242	#121	—	2	1	no	—
243	C₄×Q₈	—	2	1	no	—
244	C₄×Q₈	—	4	1	no	—
245	C₄×Q₈	—	4	1	no	—
246	C₄×D₄	—	2	1	no	—
247	C₄×D₄	—	4	1	no	—
248	#117	—	2	2	no	—
249	#117	—	4	1	no	—
250	C₂×C₄²	D₄×C₅₉	1	1	yes	characteristic
251	C₂×C₁₆	C₂³×C₅₉	1	2	yes	—
252	C₂×C₁₆	C₂³×C₅₉	1	2	yes	—
253	#107	—	2	1	no	—
254	#107	—	2	1	no	—
255	#107	C₂³×C₅₉	1	2	yes	—
256	#107	C₂³×C₅₉	1	2	yes	—
257	#107	C₂³×C₅₉	1	1	yes	characteristic
258	#107	C₂³×C₅₉	1	1	yes	characteristic
259	#106	—	2	2	no	—
260	#106	—	2	2	no	—
261	#106	—	2	1	no	—
262	#103	—	2	1	no	—
263	#103	—	2	1	no	—
264	#102	—	2	1	no	—
265	#102	—	2	1	no	—
266	C₄×C₈	D₄×C₅₉	1	1	yes	characteristic
267	C₄×C₈	D₄×C₅₉	1	1	yes	characteristic
268	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
269	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
270	C₂×Q₈	—	2	1	no	—
271	C₂×Q₈	—	4	1	no	—
272	C₂×Q₈	—	4	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	4	1	no	—
275	C₂²×C₄	—	4	1	no	—
276	C₂²×C₄	D₈×C₅₉	1	1	yes	characteristic
277	C₂²×C₄	D₈×C₅₉	1	1	yes	characteristic
278	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
279	Q₁₆	—	2	2	no	—
280	SD₁₆	—	4	2	no	—
281	D₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	C₂×D₄×C₅₉	1	1	yes	characteristic
285	C₂×C₈	C₂×D₄×C₅₉	1	1	yes	characteristic
286	C₂×C₈	C₂×D₄×C₅₉	1	1	yes	characteristic
287	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
288	C₄⋊C₄	—	2	1	no	—
289	C₄⋊C₄	—	2	1	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	4	1	no	—
293	C₄⋊C₄	—	4	1	no	—
294	C₄⋊C₄	—	4	1	no	—
295	C₄⋊C₄	—	4	1	no	—
296	C₄⋊C₄	—	4	2	no	—
297	C₄⋊C₄	—	4	2	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	—	4	1	no	—
300	C₂²⋊C₄	—	4	2	no	—
301	C₂²⋊C₄	—	4	1	no	—
302	C₂²⋊C₄	—	4	1	no	—
303	C₂²⋊C₄	—	4	1	no	—
304	C₂²⋊C₄	—	4	1	no	—
305	C₂²⋊C₄	—	4	1	no	—
306	C₄²	—	4	2	no	—
307	C₄²	—	4	1	no	—
308	C₄²	D₈×C₅₉	1	1	yes	characteristic
309	C₄²	D₈×C₅₉	1	1	yes	characteristic
310	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
311	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
312	C₁₆	—	2	2	no	—
313	C₁₆	—	2	2	no	—
314	C₂³	—	4	1	no	—
315	C₂³	C₂×D₈×C₅₉	1	1	yes	characteristic
316	Q₈	—	4	1	no	—
317	Q₈	—	4	1	no	—
318	Q₈	—	8	2	no	—
319	Q₈	—	8	2	no	—
320	D₄	—	4	1	no	—
321	D₄	—	4	1	no	—
322	D₄	—	8	2	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	1	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	8	2	no	—
333	C₂×C₄	C₂×D₈×C₅₉	1	1	yes	characteristic
334	C₂×C₄	C₂×D₈×C₅₉	1	1	yes	characteristic
335	C₂×C₄	C₂×D₈×C₅₉	1	1	yes	characteristic
336	C₂×C₄	C₂×D₈×C₅₉	1	1	yes	characteristic
337	C₂×C₄	C₂×D₈×C₅₉	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
339	C₈	—	2	1	no	—
340	C₈	—	2	1	no	—
341	C₈	#137×C₅₉	1	2	yes	—
342	C₈	2₋¹⁺⁴×C₅₉	1	2	yes	—
343	C₂²	—	2	1	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	2	1	no	—
346	C₂²	—	8	1	no	—
347	C₂²	—	8	1	no	—
348	C₂²	—	8	1	no	—
349	C₂²	C₂²×D₈×C₅₉	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	2	1	no	—
354	C₄	—	2	1	no	—
355	C₄	—	8	1	no	—
356	C₄	—	8	1	no	—
357	C₄	—	8	2	no	—
358	C₄	—	8	2	no	—
359	C₄	—	8	1	no	—
360	C₄	C₅₉×#536	1	1	yes	characteristic
361	C₄	C₂×#137×C₅₉	1	1	yes	characteristic
362	C₂	—	4	1	no	—
363	C₂	—	16	1	no	—
364	C₂	C₅₉×#3226	1	1	yes	characteristic
365	C₂	C₅₉×#3414	1	1	yes	characteristic
366	C₂	C₅₉×#3414	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₉	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₅₉
prime radical	C₅₉×#466	C₂²
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅₉ ◁ C₂×C₄²×C₅₉ ◁ C₂×C₄×C₈×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₅₉×#3160	C₂	semidirect
3. C₅₉×#2255	C₂	semidirect
4. C₅₉×#2255	C₂	semidirect
5. C₅₉×#2243	C₂	semidirect
6. C₅₉×#2243	C₂	semidirect
7. C₅₉×#2237	C₂	semidirect
9. C₅₉×#2229	C₂	semidirect
10. C₅₉×#2228	C₂	semidirect
11. C₅₉×#2163	C₂	semidirect
159. #33806	C₅₉	direct (N × H)
180. #3160	C₂×C₅₉	semidirect
181. #2255	C₂×C₅₉	semidirect
182. #2255	C₂×C₅₉	semidirect
183. #2243	C₂×C₅₉	semidirect
184. #2243	C₂×C₅₉	semidirect
185. #2237	C₂×C₅₉	semidirect
187. #2229	C₂×C₅₉	semidirect
188. #2228	C₂×C₅₉	semidirect
189. #2163	C₂×C₅₉	semidirect
226. C₅₉	#33806	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×#3168	2
C₅₉×#3160	2
C₅₉×#2255	2
C₅₉×#2243	2
C₅₉×#2237	2
C₅₉×#2234	2
C₅₉×#2229	2
C₅₉×#2228	2
C₅₉×#2163	2
#33806	59

Subgroups — C59×#33806 #28445915

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#33806 #28445915