Subgroups — C₅₉×#35250 #28447359

Order 15104.

5782 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×#41×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅₉×#535	C₂	1	2	yes	maximal, complemented
3	C₂²×#121×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#2847	C₂	1	4	yes	maximal, complemented
5	C₅₉×#2615	C₂	1	4	yes	maximal, complemented
6	C₅₉×#2436	C₂	1	2	yes	maximal, complemented
7	C₅₉×#2433	C₂	1	2	yes	maximal, complemented
8	C₅₉×#2431	C₂	1	4	yes	maximal, complemented
9	C₅₉×#2404	C₂	1	4	yes	maximal, complemented
10	C₅₉×#2403	C₂	1	4	yes	maximal, complemented
11	C₅₉×#2311	C₂	1	2	yes	maximal, complemented
12	C₅₉×#2280	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#41×C₅₉	—	2	16	no	—
14	C₂²×#41×C₅₉	—	2	8	no	—
15	C₂²×#41×C₅₉	C₂²	1	2	yes	—
16	C₂²×#41×C₅₉	C₂²	1	2	yes	—
17	C₂²×#41×C₅₉	C₂²	1	2	yes	complemented
18	C₂²×#41×C₅₉	C₂²	1	2	yes	complemented
19	C₂³×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
20	C₂³×D₄×C₅₉	C₂²	1	2	yes	—
21	C₂³×D₄×C₅₉	C₂²	1	2	yes	—
22	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
23	C₂³×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
24	C₂⁴×C₄×C₅₉	C₂²	1	1	yes	characteristic
25	C₂⁴×C₄×C₅₉	C₂²	1	2	yes	complemented
26	C₅₉×#535	—	2	16	no	—
27	C₂×#127×C₅₉	C₂²	1	4	yes	complemented
28	C₂×#124×C₅₉	C₂²	1	4	yes	complemented
29	C₂×#121×C₅₉	—	2	8	no	—
30	C₂×#121×C₅₉	C₂²	1	2	yes	—
31	C₂×#121×C₅₉	C₂²	1	2	yes	—
32	C₂×#121×C₅₉	C₂²	1	8	yes	complemented
33	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
34	C₂×#121×C₅₉	C₂²	1	2	yes	complemented
35	C₂×#120×C₅₉	C₂²	1	8	yes	complemented
36	C₂×#120×C₅₉	C₂²	1	8	yes	complemented
37	C₂×#117×C₅₉	C₂²	1	2	yes	complemented
38	C₂²×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
40	C₅₉×#393	C₂²	1	8	yes	complemented
41	C₅₉×#392	C₂²	1	16	yes	complemented
42	C₅₉×#392	C₂²	1	8	yes	complemented
43	C₅₉×#391	C₂²	1	4	yes	complemented
44	C₅₉×#390	C₂²	1	4	yes	complemented
45	C₅₉×#386	C₂²	1	8	yes	complemented
46	C₅₉×#386	C₂²	1	8	yes	complemented
47	C₅₉×#386	C₂²	1	16	yes	complemented
48	C₅₉×#381	C₂²	1	2	yes	complemented
49	C₅₉×#380	C₂²	1	2	yes	complemented
50	C₅₉×#380	C₂²	1	2	yes	complemented
51	C₅₉×#380	C₂²	1	8	yes	complemented
52	C₅₉×#379	C₂²	1	2	yes	—
53	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
54	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	complemented
55	C₂⁵×C₅₉	C₂³	1	2	yes	—
56	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
57	C₂⁵×C₅₉	C₂³	1	2	yes	—
58	C₂×#41×C₅₉	—	2	128	no	—
59	C₂×#41×C₅₉	—	2	8	no	—
60	C₂×#41×C₅₉	—	2	16	no	—
61	C₂×#41×C₅₉	—	2	8	no	—
62	C₂×#41×C₅₉	—	2	8	no	—
63	C₂×#41×C₅₉	—	2	8	no	—
64	C₂×#41×C₅₉	—	2	8	no	—
65	C₂×#41×C₅₉	—	2	8	no	—
66	C₂×#41×C₅₉	—	2	8	no	—
67	C₂×#41×C₅₉	—	2	16	no	—
68	C₂×#41×C₅₉	D₄	1	16	yes	complemented
69	C₂²×Q₈×C₅₉	—	2	8	no	—
70	C₂²×Q₈×C₅₉	—	2	4	no	—
71	C₂²×Q₈×C₅₉	C₂³	1	2	yes	—
72	C₂²×Q₈×C₅₉	C₂³	1	2	yes	—
73	C₂²×D₄×C₅₉	—	2	8	no	—
74	C₂²×D₄×C₅₉	—	2	16	no	—
75	C₂²×D₄×C₅₉	—	2	8	no	—
76	C₂²×D₄×C₅₉	—	2	8	no	—
77	C₂²×D₄×C₅₉	—	2	4	no	—
78	C₂²×D₄×C₅₉	—	2	4	no	—
79	C₂²×D₄×C₅₉	—	2	8	no	—
80	C₂²×D₄×C₅₉	—	4	8	no	—
81	C₂²×D₄×C₅₉	C₂³	1	4	yes	—
82	C₂²×D₄×C₅₉	C₂³	1	4	yes	—
83	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
84	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
85	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
86	C₂²×D₄×C₅₉	C₂³	1	4	yes	—
87	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
88	C₂²×D₄×C₅₉	C₂³	1	16	yes	—
89	C₂²×D₄×C₅₉	C₂³	1	4	yes	—
90	C₂³×C₄×C₅₉	—	2	8	no	—
91	C₂³×C₄×C₅₉	—	2	8	no	—
92	C₂³×C₄×C₅₉	—	2	16	no	—
93	C₂³×C₄×C₅₉	D₄	1	8	yes	complemented
94	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
95	C₂³×C₄×C₅₉	C₂³	1	4	yes	—
96	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
97	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
98	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
99	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
100	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
101	C₂³×C₄×C₅₉	C₂³	1	4	yes	—
102	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
103	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
104	#127×C₅₉	—	2	16	no	—
105	#124×C₅₉	—	2	16	no	—
106	#121×C₅₉	—	2	8	no	—
107	#121×C₅₉	—	2	8	no	—
108	#121×C₅₉	—	2	8	no	—
109	#121×C₅₉	—	2	8	no	—
110	#121×C₅₉	—	2	32	no	—
111	#120×C₅₉	—	2	32	no	—
112	#120×C₅₉	—	4	16	no	—
113	#117×C₅₉	—	2	8	no	—
114	C₂×C₄⋊C₄×C₅₉	—	2	4	no	—
115	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
116	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
117	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
118	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
119	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
120	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
121	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
122	C₂×C₂²⋊C₄×C₅₉	C₂³	1	16	yes	—
123	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
124	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
125	C₂×C₂²⋊C₄×C₅₉	C₂³	1	16	yes	—
126	C₂×C₄²×C₅₉	C₂³	1	4	yes	—
127	#95×C₅₉	C₂³	1	4	yes	—
128	#95×C₅₉	C₂³	1	4	yes	—
129	#95×C₅₉	C₂³	1	16	yes	—
130	C₂⁴×C₅₉	—	2	8	no	—
131	C₂⁴×C₅₉	—	2	4	no	—
132	C₂⁴×C₅₉	—	2	4	no	—
133	C₂⁴×C₅₉	—	2	4	no	—
134	C₂⁴×C₅₉	—	2	4	no	—
135	C₂⁴×C₅₉	—	2	8	no	—
136	C₂⁴×C₅₉	—	2	8	no	—
137	C₂⁴×C₅₉	—	4	2	no	—
138	C₂⁴×C₅₉	—	4	4	no	—
139	C₂⁴×C₅₉	—	4	4	no	—
140	C₂⁴×C₅₉	—	4	4	no	—
141	C₂⁴×C₅₉	C₂×D₄	1	4	yes	—
142	C₂⁴×C₅₉	C₂⁴	1	4	yes	—
143	C₂⁴×C₅₉	C₂⁴	1	4	yes	—
144	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
145	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
146	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
147	#41×C₅₉	—	2	64	no	—
148	#41×C₅₉	—	2	64	no	—
149	#41×C₅₉	—	2	64	no	—
150	#41×C₅₉	—	2	64	no	—
151	C₂×Q₈×C₅₉	—	2	32	no	—
152	C₂×Q₈×C₅₉	—	2	8	no	—
153	C₂×Q₈×C₅₉	—	2	4	no	—
154	C₂×Q₈×C₅₉	—	2	4	no	—
155	C₂×Q₈×C₅₉	—	2	4	no	—
156	C₂×Q₈×C₅₉	C₂×D₄	1	8	yes	complemented
157	C₂×D₄×C₅₉	—	2	64	no	—
158	C₂×D₄×C₅₉	—	2	32	no	—
159	C₂×D₄×C₅₉	—	2	8	no	—
160	C₂×D₄×C₅₉	—	2	8	no	—
161	C₂×D₄×C₅₉	—	2	8	no	—
162	C₂×D₄×C₅₉	—	2	8	no	—
163	C₂×D₄×C₅₉	—	2	8	no	—
164	C₂×D₄×C₅₉	—	2	8	no	—
165	C₂×D₄×C₅₉	—	2	8	no	—
166	C₂×D₄×C₅₉	—	2	16	no	—
167	C₂×D₄×C₅₉	—	2	32	no	—
168	C₂×D₄×C₅₉	—	2	8	no	—
169	C₂×D₄×C₅₉	—	2	4	no	—
170	C₂×D₄×C₅₉	—	2	4	no	—
171	C₂×D₄×C₅₉	—	2	4	no	—
172	C₂×D₄×C₅₉	—	2	4	no	—
173	C₂×D₄×C₅₉	—	2	8	no	—
174	C₂×D₄×C₅₉	—	2	4	no	—
175	C₂×D₄×C₅₉	—	2	8	no	—
176	C₂×D₄×C₅₉	—	4	8	no	—
177	C₂×D₄×C₅₉	—	4	16	no	—
178	C₂×D₄×C₅₉	—	4	16	no	—
179	C₂×D₄×C₅₉	—	4	32	no	—
180	C₂×D₄×C₅₉	—	4	16	no	—
181	C₂×D₄×C₅₉	C₂×D₄	1	16	yes	—
182	C₂×D₄×C₅₉	C₂×D₄	1	8	yes	complemented
183	C₂²×C₄×C₅₉	—	2	64	no	—
184	C₂²×C₄×C₅₉	—	2	4	no	—
185	C₂²×C₄×C₅₉	—	2	8	no	—
186	C₂²×C₄×C₅₉	—	2	4	no	—
187	C₂²×C₄×C₅₉	—	2	32	no	—
188	C₂²×C₄×C₅₉	—	2	4	no	—
189	C₂²×C₄×C₅₉	—	2	8	no	—
190	C₂²×C₄×C₅₉	—	2	4	no	—
191	C₂²×C₄×C₅₉	—	2	8	no	—
192	C₂²×C₄×C₅₉	—	2	8	no	—
193	C₂²×C₄×C₅₉	—	2	4	no	—
194	C₂²×C₄×C₅₉	—	2	4	no	—
195	C₂²×C₄×C₅₉	—	2	8	no	—
196	C₂²×C₄×C₅₉	—	2	8	no	—
197	C₂²×C₄×C₅₉	—	2	4	no	—
198	C₂²×C₄×C₅₉	—	4	4	no	—
199	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
200	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
201	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
202	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
203	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
204	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
205	C₂²×C₄×C₅₉	C₂×D₄	1	8	yes	—
206	C₂²×C₄×C₅₉	C₂×D₄	1	16	yes	complemented
207	C₂²×C₄×C₅₉	C₂⁴	1	8	yes	—
208	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
209	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
210	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
211	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
213	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
214	C₄⋊C₄×C₅₉	—	2	4	no	—
215	C₄⋊C₄×C₅₉	—	2	4	no	—
216	C₄⋊C₄×C₅₉	—	2	8	no	—
217	C₂²⋊C₄×C₅₉	—	2	8	no	—
218	C₂²⋊C₄×C₅₉	—	2	8	no	—
219	C₂²⋊C₄×C₅₉	—	2	8	no	—
220	C₂²⋊C₄×C₅₉	—	2	8	no	—
221	C₂²⋊C₄×C₅₉	—	2	32	no	—
222	C₂²⋊C₄×C₅₉	—	4	4	no	—
223	C₂²⋊C₄×C₅₉	—	4	16	no	—
224	C₄²×C₅₉	—	2	8	no	—
225	C₂³×C₅₉	—	2	2	no	—
226	C₂³×C₅₉	—	2	2	no	—
227	C₂³×C₅₉	—	2	2	no	—
228	C₂³×C₅₉	—	2	2	no	—
229	C₂³×C₅₉	—	2	16	no	—
230	C₂³×C₅₉	—	2	8	no	—
231	C₂³×C₅₉	—	2	8	no	—
232	C₂³×C₅₉	—	2	4	no	—
233	C₂³×C₅₉	—	2	4	no	—
234	C₂³×C₅₉	—	2	2	no	—
235	C₂³×C₅₉	—	2	8	no	—
236	C₂³×C₅₉	—	2	2	no	—
237	C₂³×C₅₉	—	2	2	no	—
238	C₂³×C₅₉	—	2	8	no	—
239	C₂³×C₅₉	—	2	4	no	—
240	C₂³×C₅₉	—	2	8	no	—
241	C₂³×C₅₉	—	2	8	no	—
242	C₂³×C₅₉	—	2	8	no	—
243	C₂³×C₅₉	—	4	4	no	—
244	C₂³×C₅₉	—	4	16	no	—
245	C₂³×C₅₉	—	4	32	no	—
246	C₂³×C₅₉	—	4	8	no	—
247	C₂³×C₅₉	—	4	8	no	—
248	C₂³×C₅₉	—	4	8	no	—
249	C₂³×C₅₉	—	4	8	no	—
250	C₂³×C₅₉	—	4	8	no	—
251	C₂³×C₅₉	—	8	16	no	—
252	C₂³×C₅₉	C₂²×D₄	1	8	yes	—
253	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
254	C₂³×C₅₉	C₂²×D₄	1	4	yes	—
255	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
256	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
257	C₂³×C₅₉	H(5,𝔽₂)	1	4	yes	—
258	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
259	Q₈×C₅₉	—	2	16	no	—
260	Q₈×C₅₉	—	2	16	no	—
261	D₄×C₅₉	—	2	32	no	—
262	D₄×C₅₉	—	2	16	no	—
263	D₄×C₅₉	—	2	32	no	—
264	D₄×C₅₉	—	2	16	no	—
265	D₄×C₅₉	—	4	16	no	—
266	D₄×C₅₉	—	4	16	no	—
267	D₄×C₅₉	—	4	8	no	—
268	D₄×C₅₉	—	4	8	no	—
269	D₄×C₅₉	—	8	32	no	—
270	C₂×C₄×C₅₉	—	2	16	no	—
271	C₂×C₄×C₅₉	—	2	32	no	—
272	C₂×C₄×C₅₉	—	2	8	no	—
273	C₂×C₄×C₅₉	—	2	2	no	—
274	C₂×C₄×C₅₉	—	2	4	no	—
275	C₂×C₄×C₅₉	—	2	4	no	—
276	C₂×C₄×C₅₉	—	2	2	no	—
277	C₂×C₄×C₅₉	—	2	8	no	—
278	C₂×C₄×C₅₉	—	2	8	no	—
279	C₂×C₄×C₅₉	—	2	8	no	—
280	C₂×C₄×C₅₉	—	2	8	no	—
281	C₂×C₄×C₅₉	—	2	32	no	—
282	C₂×C₄×C₅₉	—	2	8	no	—
283	C₂×C₄×C₅₉	—	2	4	no	—
284	C₂×C₄×C₅₉	—	2	8	no	—
285	C₂×C₄×C₅₉	—	2	8	no	—
286	C₂×C₄×C₅₉	—	2	8	no	—
287	C₂×C₄×C₅₉	—	4	8	no	—
288	C₂×C₄×C₅₉	#120	1	16	yes	complemented
289	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
290	C₂×C₄×C₅₉	C₂²×D₄	1	8	yes	—
291	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
292	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
293	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
294	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
295	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
296	#35250	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
297	C₂²×C₅₉	—	2	2	no	—
298	C₂²×C₅₉	—	2	2	no	—
299	C₂²×C₅₉	—	2	2	no	—
300	C₂²×C₅₉	—	2	2	no	—
301	C₂²×C₅₉	—	2	8	no	—
302	C₂²×C₅₉	—	2	8	no	—
303	C₂²×C₅₉	—	2	8	no	—
304	C₂²×C₅₉	—	2	2	no	—
305	C₂²×C₅₉	—	2	2	no	—
306	C₂²×C₅₉	—	2	2	no	—
307	C₂²×C₅₉	—	2	16	no	—
308	C₂²×C₅₉	—	4	16	no	—
309	C₂²×C₅₉	—	4	32	no	—
310	C₂²×C₅₉	—	4	4	no	—
311	C₂²×C₅₉	—	4	4	no	—
312	C₂²×C₅₉	—	4	8	no	—
313	C₂²×C₅₉	—	4	4	no	—
314	C₂²×C₅₉	—	4	4	no	—
315	C₂²×C₅₉	—	4	4	no	—
316	C₂²×C₅₉	—	4	4	no	—
317	C₂²×C₅₉	—	4	16	no	—
318	C₂²×C₅₉	—	8	16	no	—
319	C₂²×C₅₉	C₂×#120	1	4	yes	—
320	C₂²×C₅₉	#535	1	4	yes	complemented
321	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
322	C₂²×C₅₉	C₂³×D₄	1	2	yes	—
323	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	2	yes	—
324	C₂²×C₅₉	#585	1	2	yes	—
325	C₄×C₅₉	—	2	2	no	—
326	C₄×C₅₉	—	2	8	no	—
327	C₄×C₅₉	—	2	2	no	—
328	C₄×C₅₉	—	4	4	no	—
329	C₄×C₅₉	—	4	8	no	—
330	C₄×C₅₉	C₂×#120	1	4	yes	—
331	C₄×C₅₉	C₂×#120	1	4	yes	—
332	C₂³×#41	C₂×C₅₉	1	1	yes	characteristic, complemented
333	C₂×#535	C₂×C₅₉	1	2	yes	complemented
334	C₂²×#121	C₂×C₅₉	1	1	yes	characteristic, complemented
335	#2847	C₂×C₅₉	1	4	yes	complemented
336	#2615	C₂×C₅₉	1	4	yes	complemented
337	#2436	C₂×C₅₉	1	2	yes	complemented
338	#2433	C₂×C₅₉	1	2	yes	complemented
339	#2431	C₂×C₅₉	1	4	yes	complemented
340	#2404	C₂×C₅₉	1	4	yes	complemented
341	#2403	C₂×C₅₉	1	4	yes	complemented
342	#2311	C₂×C₅₉	1	2	yes	complemented
343	#2280	C₂×C₅₉	1	1	yes	characteristic, complemented
344	C₂×C₅₉	—	2	4	no	—
345	C₂×C₅₉	—	2	4	no	—
346	C₂×C₅₉	—	4	2	no	—
347	C₂×C₅₉	—	4	8	no	—
348	C₂×C₅₉	—	8	4	no	—
349	C₂×C₅₉	C₂²×#120	1	1	yes	characteristic
350	C₂×C₅₉	C₂×#535	1	1	yes	characteristic
351	C₂×C₅₉	#3449	1	1	yes	characteristic
352	C₂×C₅₉	#3488	1	4	yes	—
353	C₂²×#41	—	2	16	no	—
354	C₂²×#41	—	2	8	no	—
355	C₂²×#41	C₂²×C₅₉	1	2	yes	—
356	C₂²×#41	C₂²×C₅₉	1	2	yes	—
357	C₂²×#41	C₂²×C₅₉	1	2	yes	complemented
358	C₂²×#41	C₂²×C₅₉	1	2	yes	complemented
359	C₂³×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
360	C₂³×D₄	C₂²×C₅₉	1	2	yes	—
361	C₂³×D₄	C₂²×C₅₉	1	2	yes	—
362	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
363	C₂³×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
364	C₂⁴×C₄	C₂²×C₅₉	1	1	yes	characteristic
365	C₂⁴×C₄	C₂²×C₅₉	1	2	yes	complemented
366	#535	—	2	16	no	—
367	C₂×#127	C₂²×C₅₉	1	4	yes	complemented
368	C₂×#124	C₂²×C₅₉	1	4	yes	complemented
369	C₂×#121	—	2	8	no	—
370	C₂×#121	C₂²×C₅₉	1	2	yes	—
371	C₂×#121	C₂²×C₅₉	1	2	yes	—
372	C₂×#121	C₂²×C₅₉	1	8	yes	complemented
373	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
374	C₂×#121	C₂²×C₅₉	1	2	yes	complemented
375	C₂×#120	C₂²×C₅₉	1	8	yes	complemented
376	C₂×#120	C₂²×C₅₉	1	8	yes	complemented
377	C₂×#117	C₂²×C₅₉	1	2	yes	complemented
378	C₂²×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
379	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
380	#393	C₂²×C₅₉	1	8	yes	complemented
381	#392	C₂²×C₅₉	1	16	yes	complemented
382	#392	C₂²×C₅₉	1	8	yes	complemented
383	#391	C₂²×C₅₉	1	4	yes	complemented
384	#390	C₂²×C₅₉	1	4	yes	complemented
385	#386	C₂²×C₅₉	1	8	yes	complemented
386	#386	C₂²×C₅₉	1	8	yes	complemented
387	#386	C₂²×C₅₉	1	16	yes	complemented
388	#381	C₂²×C₅₉	1	2	yes	complemented
389	#380	C₂²×C₅₉	1	8	yes	complemented
390	#380	C₂²×C₅₉	1	2	yes	complemented
391	#380	C₂²×C₅₉	1	2	yes	complemented
392	#379	C₂²×C₅₉	1	2	yes	—
393	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
394	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	complemented
395	C₅₉	#35250	1	1	yes	characteristic, direct product factor, Sylow
396	C₂⁵	C₂³×C₅₉	1	2	yes	—
397	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
398	C₂⁵	C₂³×C₅₉	1	2	yes	—
399	C₂×#41	—	2	128	no	—
400	C₂×#41	—	2	8	no	—
401	C₂×#41	—	2	16	no	—
402	C₂×#41	—	2	8	no	—
403	C₂×#41	—	2	8	no	—
404	C₂×#41	—	2	8	no	—
405	C₂×#41	—	2	8	no	—
406	C₂×#41	—	2	8	no	—
407	C₂×#41	—	2	8	no	—
408	C₂×#41	—	2	16	no	—
409	C₂×#41	D₄×C₅₉	1	16	yes	complemented
410	C₂²×Q₈	—	2	8	no	—
411	C₂²×Q₈	—	2	4	no	—
412	C₂²×Q₈	C₂³×C₅₉	1	2	yes	—
413	C₂²×Q₈	C₂³×C₅₉	1	2	yes	—
414	C₂²×D₄	—	2	8	no	—
415	C₂²×D₄	—	2	16	no	—
416	C₂²×D₄	—	2	8	no	—
417	C₂²×D₄	—	2	8	no	—
418	C₂²×D₄	—	2	4	no	—
419	C₂²×D₄	—	2	4	no	—
420	C₂²×D₄	—	2	8	no	—
421	C₂²×D₄	—	4	8	no	—
422	C₂²×D₄	C₂³×C₅₉	1	4	yes	—
423	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
424	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
425	C₂²×D₄	C₂³×C₅₉	1	4	yes	—
426	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
427	C₂²×D₄	C₂³×C₅₉	1	4	yes	—
428	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
429	C₂²×D₄	C₂³×C₅₉	1	16	yes	—
430	C₂²×D₄	C₂³×C₅₉	1	4	yes	—
431	C₂³×C₄	—	2	8	no	—
432	C₂³×C₄	—	2	8	no	—
433	C₂³×C₄	—	2	16	no	—
434	C₂³×C₄	D₄×C₅₉	1	8	yes	complemented
435	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
436	C₂³×C₄	C₂³×C₅₉	1	4	yes	—
437	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
438	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
439	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
440	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
441	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
442	C₂³×C₄	C₂³×C₅₉	1	4	yes	—
443	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
444	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
445	#127	—	2	16	no	—
446	#124	—	2	16	no	—
447	#121	—	2	8	no	—
448	#121	—	2	8	no	—
449	#121	—	2	8	no	—
450	#121	—	2	8	no	—
451	#121	—	2	32	no	—
452	#120	—	2	32	no	—
453	#120	—	4	16	no	—
454	#117	—	2	8	no	—
455	C₂×C₄⋊C₄	—	2	4	no	—
456	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
457	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
458	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
459	C₂×C₂²⋊C₄	—	2	8	no	—
460	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
461	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
462	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
463	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
464	C₂×C₂²⋊C₄	C₂³×C₅₉	1	16	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₅₉	1	16	yes	—
466	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
467	C₂×C₄²	C₂³×C₅₉	1	4	yes	—
468	#95	C₂³×C₅₉	1	4	yes	—
469	#95	C₂³×C₅₉	1	4	yes	—
470	#95	C₂³×C₅₉	1	16	yes	—
471	C₂⁴	—	2	8	no	—
472	C₂⁴	—	2	4	no	—
473	C₂⁴	—	2	4	no	—
474	C₂⁴	—	2	4	no	—
475	C₂⁴	—	2	4	no	—
476	C₂⁴	—	2	8	no	—
477	C₂⁴	—	2	8	no	—
478	C₂⁴	—	4	2	no	—
479	C₂⁴	—	4	4	no	—
480	C₂⁴	—	4	4	no	—
481	C₂⁴	—	4	4	no	—
482	C₂⁴	C₂×D₄×C₅₉	1	4	yes	—
483	C₂⁴	C₂⁴×C₅₉	1	4	yes	—
484	C₂⁴	C₂⁴×C₅₉	1	4	yes	—
485	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
486	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
487	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
488	#41	—	2	64	no	—
489	#41	—	2	64	no	—
490	#41	—	2	64	no	—
491	#41	—	2	64	no	—
492	C₂×Q₈	—	2	32	no	—
493	C₂×Q₈	—	2	8	no	—
494	C₂×Q₈	—	2	4	no	—
495	C₂×Q₈	—	2	4	no	—
496	C₂×Q₈	—	2	4	no	—
497	C₂×Q₈	C₂×D₄×C₅₉	1	8	yes	complemented
498	C₂×D₄	—	2	64	no	—
499	C₂×D₄	—	2	32	no	—
500	C₂×D₄	—	2	8	no	—
501	C₂×D₄	—	2	8	no	—
502	C₂×D₄	—	2	8	no	—
503	C₂×D₄	—	2	8	no	—
504	C₂×D₄	—	2	8	no	—
505	C₂×D₄	—	2	8	no	—
506	C₂×D₄	—	2	8	no	—
507	C₂×D₄	—	2	16	no	—
508	C₂×D₄	—	2	32	no	—
509	C₂×D₄	—	2	8	no	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	2	4	no	—
512	C₂×D₄	—	2	4	no	—
513	C₂×D₄	—	2	4	no	—
514	C₂×D₄	—	2	8	no	—
515	C₂×D₄	—	2	4	no	—
516	C₂×D₄	—	2	8	no	—
517	C₂×D₄	—	4	8	no	—
518	C₂×D₄	—	4	16	no	—
519	C₂×D₄	—	4	16	no	—
520	C₂×D₄	—	4	32	no	—
521	C₂×D₄	—	4	16	no	—
522	C₂×D₄	C₂×D₄×C₅₉	1	16	yes	—
523	C₂×D₄	C₂×D₄×C₅₉	1	8	yes	complemented
524	C₂²×C₄	—	2	64	no	—
525	C₂²×C₄	—	2	4	no	—
526	C₂²×C₄	—	2	8	no	—
527	C₂²×C₄	—	2	4	no	—
528	C₂²×C₄	—	2	32	no	—
529	C₂²×C₄	—	2	4	no	—
530	C₂²×C₄	—	2	8	no	—
531	C₂²×C₄	—	2	4	no	—
532	C₂²×C₄	—	2	8	no	—
533	C₂²×C₄	—	2	8	no	—
534	C₂²×C₄	—	2	4	no	—
535	C₂²×C₄	—	2	4	no	—
536	C₂²×C₄	—	2	8	no	—
537	C₂²×C₄	—	2	8	no	—
538	C₂²×C₄	—	2	4	no	—
539	C₂²×C₄	—	4	4	no	—
540	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
541	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
542	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
543	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
544	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
545	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
546	C₂²×C₄	C₂×D₄×C₅₉	1	8	yes	—
547	C₂²×C₄	C₂×D₄×C₅₉	1	16	yes	complemented
548	C₂²×C₄	C₂⁴×C₅₉	1	8	yes	—
549	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
550	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
551	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
552	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
553	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
554	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
555	C₄⋊C₄	—	2	4	no	—
556	C₄⋊C₄	—	2	4	no	—
557	C₄⋊C₄	—	2	8	no	—
558	C₂²⋊C₄	—	2	8	no	—
559	C₂²⋊C₄	—	2	8	no	—
560	C₂²⋊C₄	—	2	8	no	—
561	C₂²⋊C₄	—	2	8	no	—
562	C₂²⋊C₄	—	2	32	no	—
563	C₂²⋊C₄	—	4	16	no	—
564	C₂²⋊C₄	—	4	4	no	—
565	C₄²	—	2	8	no	—
566	C₂³	—	2	2	no	—
567	C₂³	—	2	2	no	—
568	C₂³	—	2	2	no	—
569	C₂³	—	2	2	no	—
570	C₂³	—	2	16	no	—
571	C₂³	—	2	8	no	—
572	C₂³	—	2	8	no	—
573	C₂³	—	2	4	no	—
574	C₂³	—	2	4	no	—
575	C₂³	—	2	2	no	—
576	C₂³	—	2	8	no	—
577	C₂³	—	2	2	no	—
578	C₂³	—	2	2	no	—
579	C₂³	—	2	8	no	—
580	C₂³	—	2	4	no	—
581	C₂³	—	2	8	no	—
582	C₂³	—	2	8	no	—
583	C₂³	—	2	8	no	—
584	C₂³	—	4	4	no	—
585	C₂³	—	4	16	no	—
586	C₂³	—	4	32	no	—
587	C₂³	—	4	8	no	—
588	C₂³	—	4	8	no	—
589	C₂³	—	4	8	no	—
590	C₂³	—	4	8	no	—
591	C₂³	—	4	8	no	—
592	C₂³	—	8	16	no	—
593	C₂³	C₂²×D₄×C₅₉	1	8	yes	—
594	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
595	C₂³	C₂²×D₄×C₅₉	1	4	yes	—
596	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
597	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
598	C₂³	H(5,𝔽₂)×C₅₉	1	4	yes	—
599	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
600	Q₈	—	2	16	no	—
601	Q₈	—	2	16	no	—
602	D₄	—	2	32	no	—
603	D₄	—	2	16	no	—
604	D₄	—	2	32	no	—
605	D₄	—	2	16	no	—
606	D₄	—	4	16	no	—
607	D₄	—	4	16	no	—
608	D₄	—	4	8	no	—
609	D₄	—	4	8	no	—
610	D₄	—	8	32	no	—
611	C₂×C₄	—	2	16	no	—
612	C₂×C₄	—	2	32	no	—
613	C₂×C₄	—	2	8	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	4	no	—
617	C₂×C₄	—	2	2	no	—
618	C₂×C₄	—	2	8	no	—
619	C₂×C₄	—	2	8	no	—
620	C₂×C₄	—	2	8	no	—
621	C₂×C₄	—	2	8	no	—
622	C₂×C₄	—	2	32	no	—
623	C₂×C₄	—	2	8	no	—
624	C₂×C₄	—	2	4	no	—
625	C₂×C₄	—	2	8	no	—
626	C₂×C₄	—	2	8	no	—
627	C₂×C₄	—	2	8	no	—
628	C₂×C₄	—	4	8	no	—
629	C₂×C₄	#120×C₅₉	1	16	yes	complemented
630	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
631	C₂×C₄	C₂²×D₄×C₅₉	1	8	yes	—
632	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
633	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
634	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
635	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
636	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
637	C₂²	—	2	2	no	—
638	C₂²	—	2	2	no	—
639	C₂²	—	2	2	no	—
640	C₂²	—	2	2	no	—
641	C₂²	—	2	8	no	—
642	C₂²	—	2	8	no	—
643	C₂²	—	2	8	no	—
644	C₂²	—	2	2	no	—
645	C₂²	—	2	2	no	—
646	C₂²	—	2	2	no	—
647	C₂²	—	2	16	no	—
648	C₂²	—	4	16	no	—
649	C₂²	—	4	32	no	—
650	C₂²	—	4	4	no	—
651	C₂²	—	4	4	no	—
652	C₂²	—	4	8	no	—
653	C₂²	—	4	4	no	—
654	C₂²	—	4	4	no	—
655	C₂²	—	4	4	no	—
656	C₂²	—	4	4	no	—
657	C₂²	—	4	16	no	—
658	C₂²	—	8	16	no	—
659	C₂²	C₂×#120×C₅₉	1	4	yes	—
660	C₂²	C₅₉×#535	1	4	yes	complemented
661	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
662	C₂²	C₂³×D₄×C₅₉	1	2	yes	—
663	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	2	yes	—
664	C₂²	C₅₉×#585	1	2	yes	—
665	C₄	—	2	2	no	—
666	C₄	—	2	8	no	—
667	C₄	—	2	2	no	—
668	C₄	—	4	4	no	—
669	C₄	—	4	8	no	—
670	C₄	C₂×#120×C₅₉	1	4	yes	—
671	C₄	C₂×#120×C₅₉	1	4	yes	—
672	C₂	—	2	4	no	—
673	C₂	—	2	4	no	—
674	C₂	—	4	2	no	—
675	C₂	—	4	8	no	—
676	C₂	—	8	4	no	—
677	C₂	C₂²×#120×C₅₉	1	1	yes	characteristic
678	C₂	C₂×C₅₉×#535	1	1	yes	characteristic
679	C₂	C₅₉×#3449	1	1	yes	characteristic
680	C₂	C₅₉×#3488	1	4	yes	—

	subgroup	G/H
center, socle	C₂³×C₅₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₉
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂³×#41×C₅₉	C₂	semidirect
2. C₂×C₅₉×#535	C₂	semidirect
3. C₂²×#121×C₅₉	C₂	semidirect
4. C₅₉×#2847	C₂	semidirect
5. C₅₉×#2615	C₂	semidirect
6. C₅₉×#2436	C₂	semidirect
7. C₅₉×#2433	C₂	semidirect
8. C₅₉×#2431	C₂	semidirect
9. C₅₉×#2404	C₂	semidirect
10. C₅₉×#2403	C₂	semidirect
11. C₅₉×#2311	C₂	semidirect
12. C₅₉×#2280	C₂	semidirect
17. C₂²×#41×C₅₉	C₂²	semidirect
18. C₂²×#41×C₅₉	C₂²	semidirect
19. C₂³×Q₈×C₅₉	C₂²	semidirect
22. C₂³×D₄×C₅₉	C₂²	semidirect
23. C₂³×D₄×C₅₉	C₂²	semidirect
25. C₂⁴×C₄×C₅₉	C₂²	semidirect
27. C₂×#127×C₅₉	C₂²	semidirect
28. C₂×#124×C₅₉	C₂²	semidirect
32. C₂×#121×C₅₉	C₂²	semidirect
33. C₂×#121×C₅₉	C₂²	semidirect
34. C₂×#121×C₅₉	C₂²	semidirect
35. C₂×#120×C₅₉	C₂²	semidirect
36. C₂×#120×C₅₉	C₂²	semidirect
37. C₂×#117×C₅₉	C₂²	semidirect
38. C₂²×C₄⋊C₄×C₅₉	C₂²	semidirect
39. C₂²×C₂²⋊C₄×C₅₉	C₂²	semidirect
40. C₅₉×#393	C₂²	semidirect
41. C₅₉×#392	C₂²	semidirect
42. C₅₉×#392	C₂²	semidirect
43. C₅₉×#391	C₂²	semidirect
44. C₅₉×#390	C₂²	semidirect
45. C₅₉×#386	C₂²	semidirect
46. C₅₉×#386	C₂²	semidirect
47. C₅₉×#386	C₂²	semidirect
48. C₅₉×#381	C₂²	semidirect
49. C₅₉×#380	C₂²	semidirect
50. C₅₉×#380	C₂²	semidirect
51. C₅₉×#380	C₂²	semidirect
53. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
54. C₄×C₂²⋊C₄×C₅₉	C₂²	semidirect
68. C₂×#41×C₅₉	D₄	semidirect
93. C₂³×C₄×C₅₉	D₄	semidirect
156. C₂×Q₈×C₅₉	C₂×D₄	semidirect
182. C₂×D₄×C₅₉	C₂×D₄	semidirect
206. C₂²×C₄×C₅₉	C₂×D₄	semidirect
288. C₂×C₄×C₅₉	#120	semidirect
296. #35250	C₅₉	direct (N × H)
320. C₂²×C₅₉	#535	semidirect
332. C₂³×#41	C₂×C₅₉	semidirect
333. C₂×#535	C₂×C₅₉	semidirect
334. C₂²×#121	C₂×C₅₉	semidirect
335. #2847	C₂×C₅₉	semidirect
336. #2615	C₂×C₅₉	semidirect
337. #2436	C₂×C₅₉	semidirect
338. #2433	C₂×C₅₉	semidirect
339. #2431	C₂×C₅₉	semidirect
340. #2404	C₂×C₅₉	semidirect
341. #2403	C₂×C₅₉	semidirect
342. #2311	C₂×C₅₉	semidirect
343. #2280	C₂×C₅₉	semidirect
357. C₂²×#41	C₂²×C₅₉	semidirect
358. C₂²×#41	C₂²×C₅₉	semidirect
359. C₂³×Q₈	C₂²×C₅₉	semidirect
362. C₂³×D₄	C₂²×C₅₉	semidirect
363. C₂³×D₄	C₂²×C₅₉	semidirect
365. C₂⁴×C₄	C₂²×C₅₉	semidirect
367. C₂×#127	C₂²×C₅₉	semidirect
368. C₂×#124	C₂²×C₅₉	semidirect
372. C₂×#121	C₂²×C₅₉	semidirect
373. C₂×#121	C₂²×C₅₉	semidirect
374. C₂×#121	C₂²×C₅₉	semidirect
375. C₂×#120	C₂²×C₅₉	semidirect
376. C₂×#120	C₂²×C₅₉	semidirect
377. C₂×#117	C₂²×C₅₉	semidirect
378. C₂²×C₄⋊C₄	C₂²×C₅₉	semidirect
379. C₂²×C₂²⋊C₄	C₂²×C₅₉	semidirect
380. #393	C₂²×C₅₉	semidirect
381. #392	C₂²×C₅₉	semidirect
382. #392	C₂²×C₅₉	semidirect
383. #391	C₂²×C₅₉	semidirect
384. #390	C₂²×C₅₉	semidirect
385. #386	C₂²×C₅₉	semidirect
386. #386	C₂²×C₅₉	semidirect
387. #386	C₂²×C₅₉	semidirect
388. #381	C₂²×C₅₉	semidirect
389. #380	C₂²×C₅₉	semidirect
390. #380	C₂²×C₅₉	semidirect
391. #380	C₂²×C₅₉	semidirect
393. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
394. C₄×C₂²⋊C₄	C₂²×C₅₉	semidirect
395. C₅₉	#35250	direct (N × H)
409. C₂×#41	D₄×C₅₉	semidirect
434. C₂³×C₄	D₄×C₅₉	semidirect
497. C₂×Q₈	C₂×D₄×C₅₉	semidirect
523. C₂×D₄	C₂×D₄×C₅₉	semidirect
547. C₂²×C₄	C₂×D₄×C₅₉	semidirect
629. C₂×C₄	#120×C₅₉	semidirect
660. C₂²	C₅₉×#535	semidirect

Maximal subgroups

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

subgroup	index
C₂³×#41×C₅₉	2
C₂×C₅₉×#535	2
C₂²×#121×C₅₉	2
C₅₉×#2847	2
C₅₉×#2615	2
C₅₉×#2436	2
C₅₉×#2433	2
C₅₉×#2431	2
C₅₉×#2404	2
C₅₉×#2403	2
C₅₉×#2311	2
C₅₉×#2280	2
#35250	59

Subgroups — C59×#35250 #28447359

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35250 #28447359