Subgroups — C₅₉×#62855 #28474964

Order 15104.

7370 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3510	C₂	1	8	yes	maximal, complemented
2	C₅₉×#3508	C₂	1	8	yes	maximal, complemented
3	C₅₉×#3506	C₂	1	8	yes	maximal, complemented
4	C₅₉×#3494	C₂	1	16	yes	maximal, complemented
5	C₅₉×#3490	C₂	1	8	yes	maximal, complemented
6	C₅₉×#3460	C₂	1	8	yes	maximal, complemented
7	C₅₉×#3458	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#3449	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₅₉×#535	C₂	1	2	yes	maximal, complemented
10	C₅₉×#3428	C₂	1	2	yes	maximal, complemented
11	C₂×C₅₉×#518	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#41×C₅₉	C₂²	1	2	yes	—
13	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic
14	C₅₉×#559	C₂²	1	32	yes	complemented
15	C₅₉×#556	C₂²	1	16	yes	complemented
16	C₅₉×#555	C₂²	1	16	yes	complemented
17	C₅₉×#553	C₂²	1	32	yes	complemented
18	C₅₉×#551	C₂²	1	64	yes	complemented
19	C₅₉×#550	C₂²	1	16	yes	complemented
20	C₅₉×#547	C₂²	1	16	yes	complemented
21	C₅₉×#546	C₂²	1	64	yes	complemented
22	C₅₉×#544	C₂²	1	4	yes	complemented
23	C₅₉×#544	C₂²	1	8	yes	complemented
24	C₅₉×#543	C₂²	1	4	yes	—
25	C₅₉×#542	C₂²	1	32	yes	complemented
26	C₅₉×#540	C₂²	1	32	yes	complemented
27	C₅₉×#538	C₂²	1	32	yes	complemented
28	C₅₉×#537	C₂²	1	4	yes	complemented
29	C₅₉×#536	C₂²	1	4	yes	complemented
30	C₅₉×#535	C₂²	1	8	yes	—
31	C₅₉×#535	C₂²	1	8	yes	—
32	C₅₉×#535	C₂²	1	8	yes	complemented
33	C₅₉×#535	C₂²	1	8	yes	complemented
34	C₅₉×#535	C₂²	1	4	yes	complemented
35	C₅₉×#534	C₂²	1	4	yes	—
36	C₅₉×#533	C₂²	1	4	yes	complemented
37	C₅₉×#533	C₂²	1	8	yes	complemented
38	C₅₉×#532	C₂²	1	4	yes	complemented
39	C₅₉×#532	C₂²	1	32	yes	complemented
40	C₂×#127×C₅₉	C₂²	1	4	yes	complemented
41	C₅₉×#529	C₂²	1	32	yes	complemented
42	C₂×#124×C₅₉	C₂²	1	4	yes	complemented
43	C₅₉×#525	C₂²	1	8	yes	complemented
44	C₅₉×#525	C₂²	1	32	yes	complemented
45	C₂×#121×C₅₉	C₂²	1	8	yes	complemented
46	C₂×#120×C₅₉	C₂²	1	8	yes	—
47	C₅₉×#520	C₂²	1	8	yes	complemented
48	C₅₉×#520	C₂²	1	8	yes	complemented
49	C₅₉×#519	C₂²	1	4	yes	complemented
50	C₅₉×#518	C₂²	1	8	yes	—
51	C₅₉×#518	C₂²	1	8	yes	complemented
52	C₅₉×#518	C₂²	1	8	yes	complemented
53	C₅₉×#518	C₂²	1	4	yes	complemented
54	C₄×#41×C₅₉	C₂²	1	8	yes	complemented
55	C₄×#41×C₅₉	C₂²	1	8	yes	complemented
56	C₂×C₄×D₄×C₅₉	C₂²	1	4	yes	complemented
57	C₂×C₄×D₄×C₅₉	C₂²	1	4	yes	complemented
58	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
59	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
60	C₂×#117×C₅₉	C₂²	1	2	yes	—
61	C₂×#117×C₅₉	C₂²	1	8	yes	complemented
62	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	4	yes	—
63	C₂⁵×C₅₉	C₂³	1	2	yes	—
64	C₂×#41×C₅₉	—	2	16	no	—
65	C₂×#41×C₅₉	C₂³	1	4	yes	—
66	C₂×#41×C₅₉	C₂³	1	4	yes	—
67	C₂×#41×C₅₉	C₂³	1	4	yes	—
68	C₂×#41×C₅₉	C₂³	1	4	yes	—
69	C₂×#41×C₅₉	C₂³	1	32	yes	complemented
70	C₂²×Q₈×C₅₉	C₂³	1	2	yes	—
71	C₂²×D₄×C₅₉	—	2	8	no	—
72	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
73	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
74	C₂²×D₄×C₅₉	C₂³	1	4	yes	—
75	C₂²×D₄×C₅₉	C₂³	1	4	yes	—
76	C₂²×D₄×C₅₉	C₂³	1	4	yes	—
77	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
78	C₂²×D₄×C₅₉	C₂³	1	16	yes	—
79	C₂³×C₄×C₅₉	C₂³	1	4	yes	—
80	C₂³×C₄×C₅₉	C₂³	1	8	yes	—
81	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
82	C₄⋊Q₈×C₅₉	C₂³	1	16	yes	complemented
83	C₄⋊Q₈×C₅₉	C₂³	1	4	yes	complemented
84	C₄⋊Q₈×C₅₉	C₂³	1	8	yes	complemented
85	#127×C₅₉	C₂³	1	16	yes	—
86	#127×C₅₉	C₂³	1	16	yes	—
87	#127×C₅₉	C₂³	1	4	yes	complemented
88	#126×C₅₉	C₂³	1	64	yes	complemented
89	#125×C₅₉	C₂³	1	16	yes	complemented
90	#125×C₅₉	C₂³	1	8	yes	complemented
91	#124×C₅₉	C₂³	1	16	yes	—
92	#124×C₅₉	C₂³	1	16	yes	—
93	#124×C₅₉	C₂³	1	8	yes	complemented
94	#124×C₅₉	C₂³	1	64	yes	complemented
95	#123×C₅₉	C₂³	1	16	yes	—
96	#123×C₅₉	C₂³	1	64	yes	complemented
97	#123×C₅₉	C₂³	1	64	yes	complemented
98	C₂²⋊Q₈×C₅₉	C₂³	1	16	yes	—
99	C₂²⋊Q₈×C₅₉	C₂³	1	32	yes	—
100	C₂²⋊Q₈×C₅₉	C₂³	1	16	yes	complemented
101	C₂²⋊Q₈×C₅₉	C₂³	1	32	yes	complemented
102	#121×C₅₉	C₂³	1	32	yes	—
103	#121×C₅₉	C₂³	1	32	yes	—
104	#121×C₅₉	C₂³	1	16	yes	—
105	#121×C₅₉	C₂³	1	16	yes	complemented
106	#121×C₅₉	C₂³	1	32	yes	complemented
107	#121×C₅₉	C₂³	1	64	yes	complemented
108	#120×C₅₉	C₂³	1	32	yes	—
109	#120×C₅₉	C₂³	1	32	yes	—
110	#120×C₅₉	C₂³	1	16	yes	—
111	C₄×Q₈×C₅₉	C₂³	1	16	yes	complemented
112	C₄×Q₈×C₅₉	C₂³	1	16	yes	complemented
113	C₄×Q₈×C₅₉	C₂³	1	16	yes	complemented
114	C₄×D₄×C₅₉	C₂³	1	32	yes	—
115	C₄×D₄×C₅₉	C₂³	1	16	yes	—
116	C₄×D₄×C₅₉	C₂³	1	16	yes	—
117	C₄×D₄×C₅₉	C₂³	1	32	yes	—
118	C₄×D₄×C₅₉	C₂³	1	32	yes	—
119	C₄×D₄×C₅₉	C₂³	1	16	yes	complemented
120	C₄×D₄×C₅₉	C₂³	1	16	yes	complemented
121	C₄×D₄×C₅₉	C₂³	1	16	yes	complemented
122	C₄×D₄×C₅₉	C₂³	1	64	yes	complemented
123	#117×C₅₉	C₂³	1	4	yes	—
124	#117×C₅₉	C₂³	1	4	yes	—
125	#117×C₅₉	C₂³	1	4	yes	—
126	#117×C₅₉	C₂³	1	4	yes	—
127	#117×C₅₉	C₂³	1	4	yes	—
128	#117×C₅₉	C₂³	1	4	yes	—
129	#117×C₅₉	C₂³	1	4	yes	—
130	#117×C₅₉	C₂³	1	4	yes	—
131	#117×C₅₉	C₂³	1	16	yes	—
132	#117×C₅₉	C₂³	1	16	yes	complemented
133	#117×C₅₉	C₂³	1	16	yes	complemented
134	#117×C₅₉	C₂³	1	32	yes	complemented
135	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
136	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
137	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
138	C₂×C₄⋊C₄×C₅₉	C₂³	1	16	yes	complemented
139	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
140	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
141	C₂×C₂²⋊C₄×C₅₉	C₂³	1	8	yes	—
142	C₂×C₂²⋊C₄×C₅₉	C₂³	1	32	yes	—
143	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
144	C₂×C₂²⋊C₄×C₅₉	C₂³	1	16	yes	—
145	C₂×C₂²⋊C₄×C₅₉	C₂³	1	16	yes	—
146	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
147	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
148	C₂×C₄²×C₅₉	C₂³	1	4	yes	—
149	C₂×C₄²×C₅₉	C₂³	1	16	yes	complemented
150	C₂⁴×C₅₉	—	2	8	no	—
151	C₂⁴×C₅₉	—	8	4	no	—
152	C₂⁴×C₅₉	C₂⁴	1	8	yes	—
153	C₂⁴×C₅₉	C₂⁴	1	4	yes	—
154	C₂⁴×C₅₉	C₂⁴	1	4	yes	—
155	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
156	#41×C₅₉	—	2	16	no	—
157	#41×C₅₉	—	2	16	no	—
158	#41×C₅₉	—	2	16	no	—
159	#41×C₅₉	—	2	16	no	—
160	#41×C₅₉	—	8	32	no	—
161	C₂×Q₈×C₅₉	—	2	8	no	—
162	C₂×Q₈×C₅₉	C₂⁴	1	4	yes	—
163	C₂×Q₈×C₅₉	C₂⁴	1	4	yes	—
164	C₂×Q₈×C₅₉	C₂⁴	1	16	yes	—
165	C₂×D₄×C₅₉	—	2	16	no	—
166	C₂×D₄×C₅₉	—	2	16	no	—
167	C₂×D₄×C₅₉	—	2	16	no	—
168	C₂×D₄×C₅₉	—	2	8	no	—
169	C₂×D₄×C₅₉	—	2	8	no	—
170	C₂×D₄×C₅₉	—	2	8	no	—
171	C₂×D₄×C₅₉	—	8	16	no	—
172	C₂×D₄×C₅₉	C₂⁴	1	8	yes	—
173	C₂×D₄×C₅₉	C₂⁴	1	8	yes	—
174	C₂×D₄×C₅₉	C₂⁴	1	4	yes	—
175	C₂×D₄×C₅₉	C₂⁴	1	8	yes	—
176	C₂×D₄×C₅₉	C₂⁴	1	4	yes	—
177	C₂×D₄×C₅₉	C₂⁴	1	4	yes	—
178	C₂×D₄×C₅₉	C₂⁴	1	4	yes	—
179	C₂×D₄×C₅₉	C₂⁴	1	64	yes	—
180	C₂×D₄×C₅₉	C₂⁴	1	16	yes	—
181	C₂²×C₄×C₅₉	—	2	16	no	—
182	C₂²×C₄×C₅₉	—	8	8	no	—
183	C₂²×C₄×C₅₉	#41	1	8	yes	complemented
184	C₂²×C₄×C₅₉	C₂⁴	1	8	yes	—
185	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
186	C₂²×C₄×C₅₉	C₂⁴	1	8	yes	—
187	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
188	C₂²×C₄×C₅₉	C₂⁴	1	8	yes	—
189	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
190	C₂²×C₄×C₅₉	C₂⁴	1	32	yes	—
191	C₂²×C₄×C₅₉	C₂⁴	1	32	yes	—
192	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
194	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
195	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
196	C₄⋊C₄×C₅₉	C₂⁴	1	4	yes	—
197	C₄⋊C₄×C₅₉	C₂⁴	1	8	yes	—
198	C₄⋊C₄×C₅₉	C₂⁴	1	4	yes	—
199	C₄⋊C₄×C₅₉	C₂⁴	1	8	yes	—
200	C₄⋊C₄×C₅₉	C₂⁴	1	8	yes	—
201	C₄⋊C₄×C₅₉	C₂⁴	1	32	yes	—
202	C₄⋊C₄×C₅₉	C₂⁴	1	16	yes	—
203	C₄⋊C₄×C₅₉	C₂⁴	1	16	yes	—
204	C₄⋊C₄×C₅₉	C₂⁴	1	32	yes	—
205	C₂²⋊C₄×C₅₉	C₂⁴	1	8	yes	—
206	C₂²⋊C₄×C₅₉	C₂⁴	1	8	yes	—
207	C₂²⋊C₄×C₅₉	C₂⁴	1	8	yes	—
208	C₂²⋊C₄×C₅₉	C₂⁴	1	32	yes	—
209	C₂²⋊C₄×C₅₉	C₂⁴	1	8	yes	—
210	C₂²⋊C₄×C₅₉	C₂⁴	1	32	yes	—
211	C₂²⋊C₄×C₅₉	C₂⁴	1	64	yes	—
212	C₂²⋊C₄×C₅₉	C₂⁴	1	32	yes	—
213	C₄²×C₅₉	C₂⁴	1	8	yes	—
214	C₄²×C₅₉	C₂⁴	1	8	yes	—
215	C₄²×C₅₉	C₂⁴	1	4	yes	—
216	C₄²×C₅₉	C₂⁴	1	4	yes	—
217	C₄²×C₅₉	C₂⁴	1	8	yes	—
218	C₄²×C₅₉	C₂⁴	1	32	yes	—
219	C₂³×C₅₉	—	2	8	no	—
220	C₂³×C₅₉	—	2	8	no	—
221	C₂³×C₅₉	—	2	16	no	—
222	C₂³×C₅₉	—	4	8	no	—
223	C₂³×C₅₉	—	4	2	no	—
224	C₂³×C₅₉	—	4	8	no	—
225	C₂³×C₅₉	—	4	16	no	—
226	C₂³×C₅₉	—	8	16	no	—
227	C₂³×C₅₉	C₂×#41	1	4	yes	—
228	C₂³×C₅₉	C₂⁵	1	8	yes	—
229	C₂³×C₅₉	C₂⁵	1	8	yes	—
230	C₂³×C₅₉	C₂⁵	1	2	yes	—
231	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
232	Q₈×C₅₉	—	2	8	no	—
233	Q₈×C₅₉	—	2	8	no	—
234	Q₈×C₅₉	—	4	16	no	—
235	D₄×C₅₉	—	2	16	no	—
236	D₄×C₅₉	—	2	16	no	—
237	D₄×C₅₉	—	2	8	no	—
238	D₄×C₅₉	—	2	16	no	—
239	D₄×C₅₉	—	2	8	no	—
240	D₄×C₅₉	—	2	8	no	—
241	D₄×C₅₉	—	2	8	no	—
242	D₄×C₅₉	—	4	64	no	—
243	D₄×C₅₉	—	4	16	no	—
244	C₂×C₄×C₅₉	—	2	8	no	—
245	C₂×C₄×C₅₉	—	2	16	no	—
246	C₂×C₄×C₅₉	—	2	16	no	—
247	C₂×C₄×C₅₉	—	4	4	no	—
248	C₂×C₄×C₅₉	—	4	4	no	—
249	C₂×C₄×C₅₉	—	4	32	no	—
250	C₂×C₄×C₅₉	—	4	8	no	—
251	C₂×C₄×C₅₉	—	4	32	no	—
252	C₂×C₄×C₅₉	C₂×#41	1	8	yes	—
253	C₂×C₄×C₅₉	C₂×#41	1	8	yes	—
254	C₂×C₄×C₅₉	C₂×#41	1	4	yes	—
255	C₂×C₄×C₅₉	C₂×#41	1	4	yes	—
256	C₂×C₄×C₅₉	C₂⁵	1	8	yes	—
257	C₂×C₄×C₅₉	C₂⁵	1	8	yes	—
258	C₂×C₄×C₅₉	C₂⁵	1	16	yes	—
259	C₂×C₄×C₅₉	C₂⁵	1	8	yes	—
260	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
261	C₂×C₄×C₅₉	C₂⁵	1	2	yes	—
262	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
263	#62855	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
264	C₂²×C₅₉	—	2	2	no	—
265	C₂²×C₅₉	—	2	4	no	—
266	C₂²×C₅₉	—	2	8	no	—
267	C₂²×C₅₉	—	2	8	no	—
268	C₂²×C₅₉	—	2	16	no	—
269	C₂²×C₅₉	—	2	16	no	—
270	C₂²×C₅₉	—	4	4	no	—
271	C₂²×C₅₉	—	4	16	no	—
272	C₂²×C₅₉	—	8	8	no	—
273	C₂²×C₅₉	—	8	16	no	—
274	C₂²×C₅₉	C₂²×#41	1	4	yes	—
275	C₂²×C₅₉	C₂²×#41	1	2	yes	—
276	C₂²×C₅₉	C₂⁶	1	1	yes	characteristic
277	C₄×C₅₉	—	2	8	no	—
278	C₄×C₅₉	—	2	8	no	—
279	C₄×C₅₉	—	2	8	no	—
280	C₄×C₅₉	—	2	16	no	—
281	C₄×C₅₉	C₂²×#41	1	2	yes	—
282	C₄×C₅₉	C₂²×#41	1	4	yes	—
283	C₄×C₅₉	C₂²×#41	1	2	yes	—
284	#3510	C₂×C₅₉	1	8	yes	complemented
285	#3508	C₂×C₅₉	1	8	yes	complemented
286	#3506	C₂×C₅₉	1	8	yes	complemented
287	#3494	C₂×C₅₉	1	16	yes	complemented
288	#3490	C₂×C₅₉	1	8	yes	complemented
289	#3460	C₂×C₅₉	1	8	yes	complemented
290	#3458	C₂×C₅₉	1	1	yes	characteristic, complemented
291	#3449	C₂×C₅₉	1	1	yes	characteristic, complemented
292	C₂×#535	C₂×C₅₉	1	2	yes	complemented
293	#3428	C₂×C₅₉	1	2	yes	complemented
294	C₂×#518	C₂×C₅₉	1	1	yes	characteristic, complemented
295	C₂×C₅₉	—	2	2	no	—
296	C₂×C₅₉	—	2	4	no	—
297	C₂×C₅₉	—	4	8	no	—
298	C₂×C₅₉	—	4	8	no	—
299	C₂×C₅₉	C₂³×#41	1	1	yes	characteristic
300	C₂×C₅₉	H(7,𝔽₂)	1	2	yes	—
301	C₂²×#41	C₂²×C₅₉	1	2	yes	—
302	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic
303	#559	C₂²×C₅₉	1	32	yes	complemented
304	#556	C₂²×C₅₉	1	16	yes	complemented
305	#555	C₂²×C₅₉	1	16	yes	complemented
306	#553	C₂²×C₅₉	1	32	yes	complemented
307	#551	C₂²×C₅₉	1	64	yes	complemented
308	#550	C₂²×C₅₉	1	16	yes	complemented
309	#547	C₂²×C₅₉	1	16	yes	complemented
310	#546	C₂²×C₅₉	1	64	yes	complemented
311	#544	C₂²×C₅₉	1	4	yes	complemented
312	#544	C₂²×C₅₉	1	8	yes	complemented
313	#543	C₂²×C₅₉	1	4	yes	—
314	#542	C₂²×C₅₉	1	32	yes	complemented
315	#540	C₂²×C₅₉	1	32	yes	complemented
316	#538	C₂²×C₅₉	1	32	yes	complemented
317	#537	C₂²×C₅₉	1	4	yes	complemented
318	#536	C₂²×C₅₉	1	4	yes	complemented
319	#535	C₂²×C₅₉	1	8	yes	—
320	#535	C₂²×C₅₉	1	8	yes	—
321	#535	C₂²×C₅₉	1	8	yes	complemented
322	#535	C₂²×C₅₉	1	8	yes	complemented
323	#535	C₂²×C₅₉	1	4	yes	complemented
324	#534	C₂²×C₅₉	1	4	yes	—
325	#533	C₂²×C₅₉	1	4	yes	complemented
326	#533	C₂²×C₅₉	1	8	yes	complemented
327	#532	C₂²×C₅₉	1	4	yes	complemented
328	#532	C₂²×C₅₉	1	32	yes	complemented
329	C₂×#127	C₂²×C₅₉	1	4	yes	complemented
330	#529	C₂²×C₅₉	1	32	yes	complemented
331	C₂×#124	C₂²×C₅₉	1	4	yes	complemented
332	#525	C₂²×C₅₉	1	8	yes	complemented
333	#525	C₂²×C₅₉	1	32	yes	complemented
334	C₂×#121	C₂²×C₅₉	1	8	yes	complemented
335	C₂×#120	C₂²×C₅₉	1	8	yes	—
336	#520	C₂²×C₅₉	1	8	yes	complemented
337	#520	C₂²×C₅₉	1	8	yes	complemented
338	#519	C₂²×C₅₉	1	4	yes	complemented
339	#518	C₂²×C₅₉	1	8	yes	—
340	#518	C₂²×C₅₉	1	8	yes	complemented
341	#518	C₂²×C₅₉	1	8	yes	complemented
342	#518	C₂²×C₅₉	1	4	yes	complemented
343	C₄×#41	C₂²×C₅₉	1	8	yes	complemented
344	C₄×#41	C₂²×C₅₉	1	8	yes	complemented
345	C₂×C₄×D₄	C₂²×C₅₉	1	4	yes	complemented
346	C₂×C₄×D₄	C₂²×C₅₉	1	4	yes	complemented
347	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
348	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
349	C₂×#117	C₂²×C₅₉	1	2	yes	—
350	C₂×#117	C₂²×C₅₉	1	8	yes	complemented
351	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	4	yes	—
352	C₅₉	#62855	1	1	yes	characteristic, direct product factor, Sylow
353	C₂⁵	C₂³×C₅₉	1	2	yes	—
354	C₂×#41	—	2	16	no	—
355	C₂×#41	C₂³×C₅₉	1	4	yes	—
356	C₂×#41	C₂³×C₅₉	1	4	yes	—
357	C₂×#41	C₂³×C₅₉	1	4	yes	—
358	C₂×#41	C₂³×C₅₉	1	4	yes	—
359	C₂×#41	C₂³×C₅₉	1	32	yes	complemented
360	C₂²×Q₈	C₂³×C₅₉	1	2	yes	—
361	C₂²×D₄	—	2	8	no	—
362	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
363	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
364	C₂²×D₄	C₂³×C₅₉	1	4	yes	—
365	C₂²×D₄	C₂³×C₅₉	1	4	yes	—
366	C₂²×D₄	C₂³×C₅₉	1	4	yes	—
367	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
368	C₂²×D₄	C₂³×C₅₉	1	16	yes	—
369	C₂³×C₄	C₂³×C₅₉	1	4	yes	—
370	C₂³×C₄	C₂³×C₅₉	1	8	yes	—
371	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
372	C₄⋊Q₈	C₂³×C₅₉	1	16	yes	complemented
373	C₄⋊Q₈	C₂³×C₅₉	1	4	yes	complemented
374	C₄⋊Q₈	C₂³×C₅₉	1	8	yes	complemented
375	#127	C₂³×C₅₉	1	16	yes	—
376	#127	C₂³×C₅₉	1	16	yes	—
377	#127	C₂³×C₅₉	1	4	yes	complemented
378	#126	C₂³×C₅₉	1	64	yes	complemented
379	#125	C₂³×C₅₉	1	16	yes	complemented
380	#125	C₂³×C₅₉	1	8	yes	complemented
381	#124	C₂³×C₅₉	1	16	yes	—
382	#124	C₂³×C₅₉	1	16	yes	—
383	#124	C₂³×C₅₉	1	8	yes	complemented
384	#124	C₂³×C₅₉	1	64	yes	complemented
385	#123	C₂³×C₅₉	1	16	yes	—
386	#123	C₂³×C₅₉	1	64	yes	complemented
387	#123	C₂³×C₅₉	1	64	yes	complemented
388	C₂²⋊Q₈	C₂³×C₅₉	1	16	yes	—
389	C₂²⋊Q₈	C₂³×C₅₉	1	32	yes	—
390	C₂²⋊Q₈	C₂³×C₅₉	1	16	yes	complemented
391	C₂²⋊Q₈	C₂³×C₅₉	1	32	yes	complemented
392	#121	C₂³×C₅₉	1	32	yes	—
393	#121	C₂³×C₅₉	1	32	yes	—
394	#121	C₂³×C₅₉	1	16	yes	—
395	#121	C₂³×C₅₉	1	16	yes	complemented
396	#121	C₂³×C₅₉	1	32	yes	complemented
397	#121	C₂³×C₅₉	1	64	yes	complemented
398	#120	C₂³×C₅₉	1	32	yes	—
399	#120	C₂³×C₅₉	1	32	yes	—
400	#120	C₂³×C₅₉	1	16	yes	—
401	C₄×Q₈	C₂³×C₅₉	1	16	yes	complemented
402	C₄×Q₈	C₂³×C₅₉	1	16	yes	complemented
403	C₄×Q₈	C₂³×C₅₉	1	16	yes	complemented
404	C₄×D₄	C₂³×C₅₉	1	32	yes	—
405	C₄×D₄	C₂³×C₅₉	1	16	yes	—
406	C₄×D₄	C₂³×C₅₉	1	16	yes	—
407	C₄×D₄	C₂³×C₅₉	1	32	yes	—
408	C₄×D₄	C₂³×C₅₉	1	32	yes	—
409	C₄×D₄	C₂³×C₅₉	1	16	yes	complemented
410	C₄×D₄	C₂³×C₅₉	1	16	yes	complemented
411	C₄×D₄	C₂³×C₅₉	1	16	yes	complemented
412	C₄×D₄	C₂³×C₅₉	1	64	yes	complemented
413	#117	C₂³×C₅₉	1	4	yes	—
414	#117	C₂³×C₅₉	1	4	yes	—
415	#117	C₂³×C₅₉	1	4	yes	—
416	#117	C₂³×C₅₉	1	4	yes	—
417	#117	C₂³×C₅₉	1	4	yes	—
418	#117	C₂³×C₅₉	1	4	yes	—
419	#117	C₂³×C₅₉	1	4	yes	—
420	#117	C₂³×C₅₉	1	4	yes	—
421	#117	C₂³×C₅₉	1	16	yes	—
422	#117	C₂³×C₅₉	1	16	yes	complemented
423	#117	C₂³×C₅₉	1	16	yes	complemented
424	#117	C₂³×C₅₉	1	32	yes	complemented
425	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
426	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
427	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
428	C₂×C₄⋊C₄	C₂³×C₅₉	1	16	yes	complemented
429	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
430	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
431	C₂×C₂²⋊C₄	C₂³×C₅₉	1	8	yes	—
432	C₂×C₂²⋊C₄	C₂³×C₅₉	1	32	yes	—
433	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
434	C₂×C₂²⋊C₄	C₂³×C₅₉	1	16	yes	—
435	C₂×C₂²⋊C₄	C₂³×C₅₉	1	16	yes	—
436	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
437	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
438	C₂×C₄²	C₂³×C₅₉	1	4	yes	—
439	C₂×C₄²	C₂³×C₅₉	1	16	yes	complemented
440	C₂⁴	—	2	8	no	—
441	C₂⁴	—	8	4	no	—
442	C₂⁴	C₂⁴×C₅₉	1	8	yes	—
443	C₂⁴	C₂⁴×C₅₉	1	4	yes	—
444	C₂⁴	C₂⁴×C₅₉	1	4	yes	—
445	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
446	#41	—	2	16	no	—
447	#41	—	2	16	no	—
448	#41	—	2	16	no	—
449	#41	—	2	16	no	—
450	#41	—	8	32	no	—
451	C₂×Q₈	—	2	8	no	—
452	C₂×Q₈	C₂⁴×C₅₉	1	4	yes	—
453	C₂×Q₈	C₂⁴×C₅₉	1	4	yes	—
454	C₂×Q₈	C₂⁴×C₅₉	1	16	yes	—
455	C₂×D₄	—	2	16	no	—
456	C₂×D₄	—	2	16	no	—
457	C₂×D₄	—	2	16	no	—
458	C₂×D₄	—	2	8	no	—
459	C₂×D₄	—	2	8	no	—
460	C₂×D₄	—	2	8	no	—
461	C₂×D₄	—	8	16	no	—
462	C₂×D₄	C₂⁴×C₅₉	1	8	yes	—
463	C₂×D₄	C₂⁴×C₅₉	1	8	yes	—
464	C₂×D₄	C₂⁴×C₅₉	1	4	yes	—
465	C₂×D₄	C₂⁴×C₅₉	1	8	yes	—
466	C₂×D₄	C₂⁴×C₅₉	1	4	yes	—
467	C₂×D₄	C₂⁴×C₅₉	1	4	yes	—
468	C₂×D₄	C₂⁴×C₅₉	1	4	yes	—
469	C₂×D₄	C₂⁴×C₅₉	1	64	yes	—
470	C₂×D₄	C₂⁴×C₅₉	1	16	yes	—
471	C₂²×C₄	—	2	16	no	—
472	C₂²×C₄	—	8	8	no	—
473	C₂²×C₄	#41×C₅₉	1	8	yes	complemented
474	C₂²×C₄	C₂⁴×C₅₉	1	8	yes	—
475	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
476	C₂²×C₄	C₂⁴×C₅₉	1	8	yes	—
477	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
478	C₂²×C₄	C₂⁴×C₅₉	1	8	yes	—
479	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
480	C₂²×C₄	C₂⁴×C₅₉	1	32	yes	—
481	C₂²×C₄	C₂⁴×C₅₉	1	32	yes	—
482	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
483	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
484	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
485	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
486	C₄⋊C₄	C₂⁴×C₅₉	1	4	yes	—
487	C₄⋊C₄	C₂⁴×C₅₉	1	8	yes	—
488	C₄⋊C₄	C₂⁴×C₅₉	1	4	yes	—
489	C₄⋊C₄	C₂⁴×C₅₉	1	8	yes	—
490	C₄⋊C₄	C₂⁴×C₅₉	1	8	yes	—
491	C₄⋊C₄	C₂⁴×C₅₉	1	32	yes	—
492	C₄⋊C₄	C₂⁴×C₅₉	1	16	yes	—
493	C₄⋊C₄	C₂⁴×C₅₉	1	16	yes	—
494	C₄⋊C₄	C₂⁴×C₅₉	1	32	yes	—
495	C₂²⋊C₄	C₂⁴×C₅₉	1	8	yes	—
496	C₂²⋊C₄	C₂⁴×C₅₉	1	8	yes	—
497	C₂²⋊C₄	C₂⁴×C₅₉	1	8	yes	—
498	C₂²⋊C₄	C₂⁴×C₅₉	1	32	yes	—
499	C₂²⋊C₄	C₂⁴×C₅₉	1	8	yes	—
500	C₂²⋊C₄	C₂⁴×C₅₉	1	32	yes	—
501	C₂²⋊C₄	C₂⁴×C₅₉	1	64	yes	—
502	C₂²⋊C₄	C₂⁴×C₅₉	1	32	yes	—
503	C₄²	C₂⁴×C₅₉	1	8	yes	—
504	C₄²	C₂⁴×C₅₉	1	8	yes	—
505	C₄²	C₂⁴×C₅₉	1	4	yes	—
506	C₄²	C₂⁴×C₅₉	1	4	yes	—
507	C₄²	C₂⁴×C₅₉	1	8	yes	—
508	C₄²	C₂⁴×C₅₉	1	32	yes	—
509	C₂³	—	2	8	no	—
510	C₂³	—	2	8	no	—
511	C₂³	—	2	16	no	—
512	C₂³	—	4	8	no	—
513	C₂³	—	4	2	no	—
514	C₂³	—	4	8	no	—
515	C₂³	—	4	16	no	—
516	C₂³	—	8	16	no	—
517	C₂³	C₂×#41×C₅₉	1	4	yes	—
518	C₂³	C₂⁵×C₅₉	1	8	yes	—
519	C₂³	C₂⁵×C₅₉	1	8	yes	—
520	C₂³	C₂⁵×C₅₉	1	2	yes	—
521	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
522	Q₈	—	2	8	no	—
523	Q₈	—	2	8	no	—
524	Q₈	—	4	16	no	—
525	D₄	—	2	16	no	—
526	D₄	—	2	16	no	—
527	D₄	—	2	8	no	—
528	D₄	—	2	16	no	—
529	D₄	—	2	8	no	—
530	D₄	—	2	8	no	—
531	D₄	—	2	8	no	—
532	D₄	—	4	64	no	—
533	D₄	—	4	16	no	—
534	C₂×C₄	—	2	8	no	—
535	C₂×C₄	—	2	16	no	—
536	C₂×C₄	—	2	16	no	—
537	C₂×C₄	—	4	4	no	—
538	C₂×C₄	—	4	4	no	—
539	C₂×C₄	—	4	32	no	—
540	C₂×C₄	—	4	8	no	—
541	C₂×C₄	—	4	32	no	—
542	C₂×C₄	C₂×#41×C₅₉	1	8	yes	—
543	C₂×C₄	C₂×#41×C₅₉	1	8	yes	—
544	C₂×C₄	C₂×#41×C₅₉	1	4	yes	—
545	C₂×C₄	C₂×#41×C₅₉	1	4	yes	—
546	C₂×C₄	C₂⁵×C₅₉	1	8	yes	—
547	C₂×C₄	C₂⁵×C₅₉	1	8	yes	—
548	C₂×C₄	C₂⁵×C₅₉	1	16	yes	—
549	C₂×C₄	C₂⁵×C₅₉	1	8	yes	—
550	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
551	C₂×C₄	C₂⁵×C₅₉	1	2	yes	—
552	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
553	C₂²	—	2	2	no	—
554	C₂²	—	2	4	no	—
555	C₂²	—	2	8	no	—
556	C₂²	—	2	8	no	—
557	C₂²	—	2	16	no	—
558	C₂²	—	2	16	no	—
559	C₂²	—	4	4	no	—
560	C₂²	—	4	16	no	—
561	C₂²	—	8	16	no	—
562	C₂²	—	8	8	no	—
563	C₂²	C₂²×#41×C₅₉	1	4	yes	—
564	C₂²	C₂²×#41×C₅₉	1	2	yes	—
565	C₂²	C₂⁶×C₅₉	1	1	yes	characteristic
566	C₄	—	2	8	no	—
567	C₄	—	2	8	no	—
568	C₄	—	2	8	no	—
569	C₄	—	2	16	no	—
570	C₄	C₂²×#41×C₅₉	1	2	yes	—
571	C₄	C₂²×#41×C₅₉	1	4	yes	—
572	C₄	C₂²×#41×C₅₉	1	2	yes	—
573	C₂	—	2	2	no	—
574	C₂	—	2	4	no	—
575	C₂	—	4	8	no	—
576	C₂	—	4	8	no	—
577	C₂	C₂³×#41×C₅₉	1	1	yes	characteristic
578	C₂	C₅₉×H(7,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₅₉	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₉×#3510	C₂	semidirect
2. C₅₉×#3508	C₂	semidirect
3. C₅₉×#3506	C₂	semidirect
4. C₅₉×#3494	C₂	semidirect
5. C₅₉×#3490	C₂	semidirect
6. C₅₉×#3460	C₂	semidirect
7. C₅₉×#3458	C₂	semidirect
8. C₅₉×#3449	C₂	semidirect
9. C₂×C₅₉×#535	C₂	semidirect
10. C₅₉×#3428	C₂	semidirect
11. C₂×C₅₉×#518	C₂	semidirect
14. C₅₉×#559	C₂²	semidirect
15. C₅₉×#556	C₂²	semidirect
16. C₅₉×#555	C₂²	semidirect
17. C₅₉×#553	C₂²	semidirect
18. C₅₉×#551	C₂²	semidirect
19. C₅₉×#550	C₂²	semidirect
20. C₅₉×#547	C₂²	semidirect
21. C₅₉×#546	C₂²	semidirect
22. C₅₉×#544	C₂²	semidirect
23. C₅₉×#544	C₂²	semidirect
25. C₅₉×#542	C₂²	semidirect
26. C₅₉×#540	C₂²	semidirect
27. C₅₉×#538	C₂²	semidirect
28. C₅₉×#537	C₂²	semidirect
29. C₅₉×#536	C₂²	semidirect
32. C₅₉×#535	C₂²	semidirect
33. C₅₉×#535	C₂²	semidirect
34. C₅₉×#535	C₂²	semidirect
36. C₅₉×#533	C₂²	semidirect
37. C₅₉×#533	C₂²	semidirect
38. C₅₉×#532	C₂²	semidirect
39. C₅₉×#532	C₂²	semidirect
40. C₂×#127×C₅₉	C₂²	semidirect
41. C₅₉×#529	C₂²	semidirect
42. C₂×#124×C₅₉	C₂²	semidirect
43. C₅₉×#525	C₂²	semidirect
44. C₅₉×#525	C₂²	semidirect
45. C₂×#121×C₅₉	C₂²	semidirect
47. C₅₉×#520	C₂²	semidirect
48. C₅₉×#520	C₂²	semidirect
49. C₅₉×#519	C₂²	semidirect
51. C₅₉×#518	C₂²	semidirect
52. C₅₉×#518	C₂²	semidirect
53. C₅₉×#518	C₂²	semidirect
54. C₄×#41×C₅₉	C₂²	semidirect
55. C₄×#41×C₅₉	C₂²	semidirect
56. C₂×C₄×D₄×C₅₉	C₂²	semidirect
57. C₂×C₄×D₄×C₅₉	C₂²	semidirect
61. C₂×#117×C₅₉	C₂²	semidirect
69. C₂×#41×C₅₉	C₂³	semidirect
82. C₄⋊Q₈×C₅₉	C₂³	semidirect
83. C₄⋊Q₈×C₅₉	C₂³	semidirect
84. C₄⋊Q₈×C₅₉	C₂³	semidirect
87. #127×C₅₉	C₂³	semidirect
88. #126×C₅₉	C₂³	semidirect
89. #125×C₅₉	C₂³	semidirect
90. #125×C₅₉	C₂³	semidirect
93. #124×C₅₉	C₂³	semidirect
94. #124×C₅₉	C₂³	semidirect
96. #123×C₅₉	C₂³	semidirect
97. #123×C₅₉	C₂³	semidirect
100. C₂²⋊Q₈×C₅₉	C₂³	semidirect
101. C₂²⋊Q₈×C₅₉	C₂³	semidirect
105. #121×C₅₉	C₂³	semidirect
106. #121×C₅₉	C₂³	semidirect
107. #121×C₅₉	C₂³	semidirect
111. C₄×Q₈×C₅₉	C₂³	semidirect
112. C₄×Q₈×C₅₉	C₂³	semidirect
113. C₄×Q₈×C₅₉	C₂³	semidirect
119. C₄×D₄×C₅₉	C₂³	semidirect
120. C₄×D₄×C₅₉	C₂³	semidirect
121. C₄×D₄×C₅₉	C₂³	semidirect
122. C₄×D₄×C₅₉	C₂³	semidirect
132. #117×C₅₉	C₂³	semidirect
133. #117×C₅₉	C₂³	semidirect
134. #117×C₅₉	C₂³	semidirect
138. C₂×C₄⋊C₄×C₅₉	C₂³	semidirect
149. C₂×C₄²×C₅₉	C₂³	semidirect
183. C₂²×C₄×C₅₉	#41	semidirect
263. #62855	C₅₉	direct (N × H)
284. #3510	C₂×C₅₉	semidirect
285. #3508	C₂×C₅₉	semidirect
286. #3506	C₂×C₅₉	semidirect
287. #3494	C₂×C₅₉	semidirect
288. #3490	C₂×C₅₉	semidirect
289. #3460	C₂×C₅₉	semidirect
290. #3458	C₂×C₅₉	semidirect
291. #3449	C₂×C₅₉	semidirect
292. C₂×#535	C₂×C₅₉	semidirect
293. #3428	C₂×C₅₉	semidirect
294. C₂×#518	C₂×C₅₉	semidirect
303. #559	C₂²×C₅₉	semidirect
304. #556	C₂²×C₅₉	semidirect
305. #555	C₂²×C₅₉	semidirect
306. #553	C₂²×C₅₉	semidirect
307. #551	C₂²×C₅₉	semidirect
308. #550	C₂²×C₅₉	semidirect
309. #547	C₂²×C₅₉	semidirect
310. #546	C₂²×C₅₉	semidirect
311. #544	C₂²×C₅₉	semidirect
312. #544	C₂²×C₅₉	semidirect
314. #542	C₂²×C₅₉	semidirect
315. #540	C₂²×C₅₉	semidirect
316. #538	C₂²×C₅₉	semidirect
317. #537	C₂²×C₅₉	semidirect
318. #536	C₂²×C₅₉	semidirect
321. #535	C₂²×C₅₉	semidirect
322. #535	C₂²×C₅₉	semidirect
323. #535	C₂²×C₅₉	semidirect
325. #533	C₂²×C₅₉	semidirect
326. #533	C₂²×C₅₉	semidirect
327. #532	C₂²×C₅₉	semidirect
328. #532	C₂²×C₅₉	semidirect
329. C₂×#127	C₂²×C₅₉	semidirect
330. #529	C₂²×C₅₉	semidirect
331. C₂×#124	C₂²×C₅₉	semidirect
332. #525	C₂²×C₅₉	semidirect
333. #525	C₂²×C₅₉	semidirect
334. C₂×#121	C₂²×C₅₉	semidirect
336. #520	C₂²×C₅₉	semidirect
337. #520	C₂²×C₅₉	semidirect
338. #519	C₂²×C₅₉	semidirect
340. #518	C₂²×C₅₉	semidirect
341. #518	C₂²×C₅₉	semidirect
342. #518	C₂²×C₅₉	semidirect
343. C₄×#41	C₂²×C₅₉	semidirect
344. C₄×#41	C₂²×C₅₉	semidirect
345. C₂×C₄×D₄	C₂²×C₅₉	semidirect
346. C₂×C₄×D₄	C₂²×C₅₉	semidirect
350. C₂×#117	C₂²×C₅₉	semidirect
352. C₅₉	#62855	direct (N × H)
359. C₂×#41	C₂³×C₅₉	semidirect
372. C₄⋊Q₈	C₂³×C₅₉	semidirect
373. C₄⋊Q₈	C₂³×C₅₉	semidirect
374. C₄⋊Q₈	C₂³×C₅₉	semidirect
377. #127	C₂³×C₅₉	semidirect
378. #126	C₂³×C₅₉	semidirect
379. #125	C₂³×C₅₉	semidirect
380. #125	C₂³×C₅₉	semidirect
383. #124	C₂³×C₅₉	semidirect
384. #124	C₂³×C₅₉	semidirect
386. #123	C₂³×C₅₉	semidirect
387. #123	C₂³×C₅₉	semidirect
390. C₂²⋊Q₈	C₂³×C₅₉	semidirect
391. C₂²⋊Q₈	C₂³×C₅₉	semidirect
395. #121	C₂³×C₅₉	semidirect
396. #121	C₂³×C₅₉	semidirect
397. #121	C₂³×C₅₉	semidirect
401. C₄×Q₈	C₂³×C₅₉	semidirect
402. C₄×Q₈	C₂³×C₅₉	semidirect
403. C₄×Q₈	C₂³×C₅₉	semidirect
409. C₄×D₄	C₂³×C₅₉	semidirect
410. C₄×D₄	C₂³×C₅₉	semidirect
411. C₄×D₄	C₂³×C₅₉	semidirect
412. C₄×D₄	C₂³×C₅₉	semidirect
422. #117	C₂³×C₅₉	semidirect
423. #117	C₂³×C₅₉	semidirect
424. #117	C₂³×C₅₉	semidirect
428. C₂×C₄⋊C₄	C₂³×C₅₉	semidirect
439. C₂×C₄²	C₂³×C₅₉	semidirect
473. C₂²×C₄	#41×C₅₉	semidirect

Maximal subgroups

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

subgroup	index
C₅₉×#3510	2
C₅₉×#3508	2
C₅₉×#3506	2
C₅₉×#3494	2
C₅₉×#3490	2
C₅₉×#3460	2
C₅₉×#3458	2
C₅₉×#3449	2
C₂×C₅₉×#535	2
C₅₉×#3428	2
C₂×C₅₉×#518	2
#62855	59

Subgroups — C59×#62855 #28474964

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62855 #28474964