Subgroups — C₅₉×#22494 #28434603

Order 15104.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₉×#556	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅₉×#435	C₂	1	1	yes	maximal, characteristic
3	C₅₉×#2352	C₂	1	1	yes	maximal, characteristic
4	C₅₉×#1993	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#1987	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#1894	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#1892	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#1873	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#1872	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#1825	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#1825	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#1805	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#1763	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#1736	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#1735	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×M₁₆×C₅₉	C₂²	1	1	yes	characteristic
17	C₂³×C₈×C₅₉	C₂²	1	1	yes	characteristic
18	C₅₉×#556	—	2	4	no	—
19	C₅₉×#556	C₄	1	8	yes	complemented
20	C₂×C₄⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
21	C₂×#126×C₅₉	—	2	1	no	—
22	C₂×#126×C₅₉	—	2	1	no	—
23	C₂×#124×C₅₉	—	2	1	no	—
24	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
25	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
26	C₂×C₄×Q₈×C₅₉	—	2	1	no	—
27	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
28	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
29	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
30	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
31	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
32	C₂²×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
33	C₅₉×#435	—	2	4	no	—
34	C₂×C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
35	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
36	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
37	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
38	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
41	C₂×#97×C₅₉	C₂²	1	1	yes	characteristic
42	C₅₉×#388	—	2	1	no	—
43	C₅₉×#387	—	2	1	no	—
44	C₅₉×#386	—	2	1	no	—
45	C₅₉×#382	C₂²	1	1	yes	characteristic
46	C₅₉×#380	C₂²	1	1	yes	characteristic
47	C₅₉×#380	C₂²	1	1	yes	characteristic
48	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
49	C₄×C₂²⋊C₄×C₅₉	—	2	1	no	—
50	C₅₉×#340	C₂²	1	1	yes	characteristic
51	C₅₉×#340	C₂²	1	1	yes	characteristic
52	C₅₉×#340	C₂²	1	1	yes	characteristic
53	C₅₉×#340	C₂²	1	1	yes	characteristic
54	C₅₉×#340	C₂²	1	1	yes	characteristic
55	C₅₉×#340	C₂²	1	1	yes	characteristic
56	C₅₉×#340	C₂²	1	1	yes	characteristic
57	C₅₉×#340	C₂²	1	1	yes	characteristic
58	C₅₉×#340	C₂²	1	1	yes	characteristic
59	C₅₉×#340	C₂²	1	1	yes	characteristic
60	C₅₉×#340	C₂²	1	1	yes	characteristic
61	C₅₉×#340	C₂²	1	1	yes	characteristic
62	C₂²×Q₈×C₅₉	—	2	1	no	—
63	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
64	C₂²×D₄×C₅₉	D₄	1	1	yes	characteristic
65	C₂³×C₄×C₅₉	—	2	1	no	—
66	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
67	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
68	C₂×M₁₆×C₅₉	—	2	2	no	—
69	C₂×M₁₆×C₅₉	—	2	2	no	—
70	C₂×M₁₆×C₅₉	—	4	1	no	—
71	C₂²×C₈×C₅₉	—	2	2	no	—
72	C₂²×C₈×C₅₉	—	2	2	no	—
73	C₂²×C₈×C₅₉	—	4	1	no	—
74	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
75	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
76	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
77	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
78	C₄⋊Q₈×C₅₉	—	2	2	no	—
79	C₄⋊Q₈×C₅₉	C₂×C₄	1	4	yes	complemented
80	#126×C₅₉	—	2	8	no	—
81	#126×C₅₉	—	2	8	no	—
82	#124×C₅₉	—	2	8	no	—
83	C₂²⋊Q₈×C₅₉	—	2	2	no	—
84	C₂²⋊Q₈×C₅₉	—	2	2	no	—
85	C₂²⋊Q₈×C₅₉	C₂×C₄	1	4	yes	—
86	C₂²⋊Q₈×C₅₉	C₂×C₄	1	4	yes	complemented
87	C₄×Q₈×C₅₉	—	2	8	no	—
88	C₄×Q₈×C₅₉	—	2	2	no	—
89	C₄×Q₈×C₅₉	C₂×C₄	1	4	yes	complemented
90	C₄×D₄×C₅₉	C₂×C₄	1	4	yes	—
91	C₄×D₄×C₅₉	D₄	1	4	yes	—
92	#117×C₅₉	—	2	2	no	—
93	#117×C₅₉	—	2	2	no	—
94	#117×C₅₉	—	2	2	no	—
95	#117×C₅₉	—	4	1	no	—
96	#117×C₅₉	C₂×C₄	1	4	yes	—
97	#117×C₅₉	C₂×C₄	1	4	yes	complemented
98	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
99	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
100	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
101	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
102	C₂×C₄⋊C₄×C₅₉	—	2	2	no	—
103	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
104	C₂×C₄⋊C₄×C₅₉	—	4	1	no	—
105	C₂×C₄⋊C₄×C₅₉	D₄	1	1	yes	characteristic
106	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
107	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
108	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
109	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
110	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
111	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
112	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
113	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
114	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
115	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
116	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
117	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
118	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
119	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
120	C₂×C₂²⋊C₄×C₅₉	D₄	1	1	yes	characteristic
121	C₂×C₂²⋊C₄×C₅₉	D₄	1	1	yes	characteristic
122	C₂×C₄²×C₅₉	—	2	1	no	—
123	C₂×C₄²×C₅₉	—	2	1	no	—
124	C₂×C₄²×C₅₉	—	2	1	no	—
125	C₂×C₄²×C₅₉	—	2	1	no	—
126	C₂×C₄²×C₅₉	—	2	1	no	—
127	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
128	C₄⋊C₈×C₅₉	—	2	2	no	—
129	#103×C₅₉	—	2	2	no	—
130	#103×C₅₉	—	2	2	no	—
131	#103×C₅₉	—	4	1	no	—
132	#103×C₅₉	—	4	1	no	—
133	C₂²⋊C₈×C₅₉	—	2	2	no	—
134	C₂²⋊C₈×C₅₉	—	2	2	no	—
135	#97×C₅₉	—	2	2	no	—
136	#95×C₅₉	—	2	1	no	—
137	#95×C₅₉	—	2	1	no	—
138	#95×C₅₉	—	2	1	no	—
139	#95×C₅₉	—	2	1	no	—
140	#95×C₅₉	—	2	1	no	—
141	C₂⁴×C₅₉	C₂×D₄	1	1	yes	characteristic
142	C₂⁴×C₅₉	C₂×D₄	1	1	yes	characteristic
143	C₂×Q₈×C₅₉	—	2	4	no	—
144	C₂×Q₈×C₅₉	—	2	1	no	—
145	C₂×Q₈×C₅₉	—	2	1	no	—
146	C₂×Q₈×C₅₉	—	2	1	no	—
147	C₂×Q₈×C₅₉	—	2	1	no	—
148	C₂×Q₈×C₅₉	—	2	1	no	—
149	C₂×Q₈×C₅₉	—	4	2	no	—
150	C₂×Q₈×C₅₉	—	4	2	no	—
151	C₂×Q₈×C₅₉	C₂²×C₄	1	2	yes	—
152	C₂×D₄×C₅₉	—	4	1	no	—
153	C₂×D₄×C₅₉	—	4	1	no	—
154	C₂×D₄×C₅₉	C₂²⋊C₄	1	4	yes	—
155	C₂²×C₄×C₅₉	—	2	1	no	—
156	C₂²×C₄×C₅₉	—	2	1	no	—
157	C₂²×C₄×C₅₉	—	2	1	no	—
158	C₂²×C₄×C₅₉	—	2	1	no	—
159	C₂²×C₄×C₅₉	—	2	1	no	—
160	C₂²×C₄×C₅₉	—	2	1	no	—
161	C₂²×C₄×C₅₉	—	2	1	no	—
162	C₂²×C₄×C₅₉	—	2	1	no	—
163	C₂²×C₄×C₅₉	—	2	1	no	—
164	C₂²×C₄×C₅₉	—	2	1	no	—
165	C₂²×C₄×C₅₉	—	2	1	no	—
166	C₂²×C₄×C₅₉	—	2	1	no	—
167	C₂²×C₄×C₅₉	—	2	1	no	—
168	C₂²×C₄×C₅₉	—	2	1	no	—
169	C₂²×C₄×C₅₉	—	2	1	no	—
170	C₂²×C₄×C₅₉	—	2	1	no	—
171	C₂²×C₄×C₅₉	—	4	2	no	—
172	C₂²×C₄×C₅₉	—	4	2	no	—
173	C₂²×C₄×C₅₉	—	8	1	no	—
174	C₂²×C₄×C₅₉	C₂²×C₄	1	2	yes	—
175	C₂²×C₄×C₅₉	C₂²×C₄	1	2	yes	—
176	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
177	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
178	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
179	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
180	C₂²×C₄×C₅₉	C₂×D₄	1	2	yes	—
181	C₂²×C₄×C₅₉	C₂×D₄	1	2	yes	—
182	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
183	M₁₆×C₅₉	—	4	4	no	—
184	C₂×C₈×C₅₉	—	2	1	no	—
185	C₂×C₈×C₅₉	—	2	1	no	—
186	C₂×C₈×C₅₉	—	2	1	no	—
187	C₂×C₈×C₅₉	—	2	1	no	—
188	C₂×C₈×C₅₉	—	2	1	no	—
189	C₂×C₈×C₅₉	—	2	1	no	—
190	C₂×C₈×C₅₉	—	2	1	no	—
191	C₂×C₈×C₅₉	—	2	1	no	—
192	C₂×C₈×C₅₉	—	2	1	no	—
193	C₂×C₈×C₅₉	—	2	1	no	—
194	C₂×C₈×C₅₉	—	2	1	no	—
195	C₂×C₈×C₅₉	—	4	4	no	—
196	C₂×C₈×C₅₉	#41	1	2	yes	—
197	C₄⋊C₄×C₅₉	—	2	4	no	—
198	C₄⋊C₄×C₅₉	—	2	4	no	—
199	C₄⋊C₄×C₅₉	—	2	4	no	—
200	C₄⋊C₄×C₅₉	—	2	4	no	—
201	C₄⋊C₄×C₅₉	—	2	1	no	—
202	C₄⋊C₄×C₅₉	—	2	1	no	—
203	C₄⋊C₄×C₅₉	—	2	1	no	—
204	C₄⋊C₄×C₅₉	—	2	1	no	—
205	C₄⋊C₄×C₅₉	—	2	1	no	—
206	C₄⋊C₄×C₅₉	—	2	1	no	—
207	C₄⋊C₄×C₅₉	—	2	1	no	—
208	C₄⋊C₄×C₅₉	—	2	1	no	—
209	C₄⋊C₄×C₅₉	—	2	1	no	—
210	C₄⋊C₄×C₅₉	—	2	1	no	—
211	C₄⋊C₄×C₅₉	—	4	2	no	—
212	C₄⋊C₄×C₅₉	C₂²⋊C₄	1	4	yes	—
213	C₄⋊C₄×C₅₉	C₂²×C₄	1	2	yes	—
214	C₄⋊C₄×C₅₉	C₂²×C₄	1	2	yes	—
215	C₄⋊C₄×C₅₉	C₂²×C₄	1	2	yes	—
216	C₄⋊C₄×C₅₉	#41	1	2	yes	—
217	C₂²⋊C₄×C₅₉	—	2	4	no	—
218	C₂²⋊C₄×C₅₉	—	2	4	no	—
219	C₂²⋊C₄×C₅₉	—	2	4	no	—
220	C₂²⋊C₄×C₅₉	—	2	4	no	—
221	C₂²⋊C₄×C₅₉	—	4	2	no	—
222	C₂²⋊C₄×C₅₉	—	4	2	no	—
223	C₂²⋊C₄×C₅₉	—	8	1	no	—
224	C₂²⋊C₄×C₅₉	C₂²⋊C₄	1	4	yes	—
225	C₂²⋊C₄×C₅₉	C₂²⋊C₄	1	4	yes	—
226	C₄²×C₅₉	—	2	4	no	—
227	C₄²×C₅₉	—	2	4	no	—
228	C₄²×C₅₉	—	2	4	no	—
229	C₄²×C₅₉	—	4	2	no	—
230	C₄²×C₅₉	—	8	1	no	—
231	C₄²×C₅₉	C₂²×C₄	1	2	yes	—
232	C₄²×C₅₉	C₂×D₄	1	2	yes	—
233	C₂³×C₅₉	—	2	1	no	—
234	C₂³×C₅₉	—	2	1	no	—
235	C₂³×C₅₉	—	2	1	no	—
236	C₂³×C₅₉	—	2	1	no	—
237	C₂³×C₅₉	—	2	1	no	—
238	C₂³×C₅₉	—	2	1	no	—
239	C₂³×C₅₉	—	2	1	no	—
240	C₂³×C₅₉	—	2	1	no	—
241	C₂³×C₅₉	—	2	1	no	—
242	C₂³×C₅₉	—	2	1	no	—
243	C₂³×C₅₉	—	2	1	no	—
244	C₂³×C₅₉	—	2	1	no	—
245	C₂³×C₅₉	C₂×C₂²⋊C₄	1	2	yes	—
246	C₂³×C₅₉	C₂×C₂²⋊C₄	1	2	yes	—
247	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
248	Q₈×C₅₉	—	2	2	no	—
249	Q₈×C₅₉	—	2	2	no	—
250	Q₈×C₅₉	—	4	8	no	—
251	Q₈×C₅₉	—	4	1	no	—
252	Q₈×C₅₉	—	4	1	no	—
253	D₄×C₅₉	—	4	4	no	—
254	C₂×C₄×C₅₉	—	2	1	no	—
255	C₂×C₄×C₅₉	—	2	1	no	—
256	C₂×C₄×C₅₉	—	2	1	no	—
257	C₂×C₄×C₅₉	—	2	1	no	—
258	C₂×C₄×C₅₉	—	2	1	no	—
259	C₂×C₄×C₅₉	—	2	1	no	—
260	C₂×C₄×C₅₉	—	2	1	no	—
261	C₂×C₄×C₅₉	—	2	1	no	—
262	C₂×C₄×C₅₉	—	2	2	no	—
263	C₂×C₄×C₅₉	—	2	2	no	—
264	C₂×C₄×C₅₉	—	2	2	no	—
265	C₂×C₄×C₅₉	—	2	2	no	—
266	C₂×C₄×C₅₉	—	2	2	no	—
267	C₂×C₄×C₅₉	—	2	2	no	—
268	C₂×C₄×C₅₉	—	2	2	no	—
269	C₂×C₄×C₅₉	—	2	2	no	—
270	C₂×C₄×C₅₉	—	2	2	no	—
271	C₂×C₄×C₅₉	—	2	2	no	—
272	C₂×C₄×C₅₉	—	2	2	no	—
273	C₂×C₄×C₅₉	—	2	2	no	—
274	C₂×C₄×C₅₉	—	2	2	no	—
275	C₂×C₄×C₅₉	—	4	1	no	—
276	C₂×C₄×C₅₉	—	4	1	no	—
277	C₂×C₄×C₅₉	—	4	1	no	—
278	C₂×C₄×C₅₉	—	4	1	no	—
279	C₂×C₄×C₅₉	—	4	1	no	—
280	C₂×C₄×C₅₉	—	4	1	no	—
281	C₂×C₄×C₅₉	—	4	1	no	—
282	C₂×C₄×C₅₉	—	4	1	no	—
283	C₂×C₄×C₅₉	—	4	1	no	—
284	C₂×C₄×C₅₉	—	4	1	no	—
285	C₂×C₄×C₅₉	—	4	1	no	—
286	C₂×C₄×C₅₉	—	4	1	no	—
287	C₂×C₄×C₅₉	—	4	1	no	—
288	C₂×C₄×C₅₉	—	4	1	no	—
289	C₂×C₄×C₅₉	—	4	1	no	—
290	C₂×C₄×C₅₉	—	4	1	no	—
291	C₂×C₄×C₅₉	—	4	1	no	—
292	C₂×C₄×C₅₉	—	4	1	no	—
293	C₂×C₄×C₅₉	—	4	1	no	—
294	C₂×C₄×C₅₉	—	8	4	no	—
295	C₂×C₄×C₅₉	C₂×C₂²⋊C₄	1	2	yes	—
296	C₂×C₄×C₅₉	C₂×C₂²⋊C₄	1	2	yes	—
297	C₂×C₄×C₅₉	C₂×C₂²⋊C₄	1	2	yes	—
298	C₂×C₄×C₅₉	C₂×C₂²⋊C₄	1	2	yes	—
299	C₂×C₄×C₅₉	C₂³×C₄	1	1	yes	characteristic
300	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
301	C₂×C₄×C₅₉	C₂×#41	1	1	yes	characteristic
302	C₂×C₄×C₅₉	C₂×#41	1	1	yes	characteristic
303	C₂×C₄×C₅₉	H(5,𝔽₂)	1	1	yes	characteristic
304	C₂×C₄×C₅₉	2₋¹⁺⁴	1	1	yes	characteristic
305	C₈×C₅₉	—	2	2	no	—
306	C₈×C₅₉	—	4	1	no	—
307	C₈×C₅₉	—	4	1	no	—
308	C₈×C₅₉	—	4	1	no	—
309	#22494	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
310	C₂²×C₅₉	—	2	2	no	—
311	C₂²×C₅₉	—	2	2	no	—
312	C₂²×C₅₉	—	2	2	no	—
313	C₂²×C₅₉	—	2	2	no	—
314	C₂²×C₅₉	—	2	2	no	—
315	C₂²×C₅₉	—	2	2	no	—
316	C₂²×C₅₉	—	4	1	no	—
317	C₂²×C₅₉	—	4	1	no	—
318	C₂²×C₅₉	—	4	1	no	—
319	C₂²×C₅₉	—	4	1	no	—
320	C₂²×C₅₉	—	4	1	no	—
321	C₂²×C₅₉	—	4	1	no	—
322	C₂²×C₅₉	—	4	1	no	—
323	C₂²×C₅₉	—	4	1	no	—
324	C₂²×C₅₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
325	C₂²×C₅₉	#546	1	1	yes	characteristic
326	C₂²×C₅₉	#547	1	1	yes	characteristic
327	C₂²×C₅₉	#575	1	1	yes	characteristic
328	C₂²×C₅₉	#575	1	1	yes	characteristic
329	C₂²×C₅₉	#577	1	1	yes	characteristic
330	C₂²×C₅₉	#578	1	1	yes	characteristic
331	C₄×C₅₉	—	2	2	no	—
332	C₄×C₅₉	—	2	2	no	—
333	C₄×C₅₉	—	2	2	no	—
334	C₄×C₅₉	—	2	2	no	—
335	C₄×C₅₉	—	4	2	no	—
336	C₄×C₅₉	—	4	2	no	—
337	C₄×C₅₉	—	4	2	no	—
338	C₄×C₅₉	—	4	2	no	—
339	C₄×C₅₉	—	4	2	no	—
340	C₄×C₅₉	—	8	1	no	—
341	C₄×C₅₉	—	8	1	no	—
342	C₄×C₅₉	—	8	1	no	—
343	C₄×C₅₉	C₄×#41	1	1	yes	characteristic
344	C₄×C₅₉	#520	1	1	yes	characteristic
345	C₄×C₅₉	#546	1	1	yes	characteristic
346	C₄×C₅₉	#547	1	1	yes	characteristic
347	C₂×#556	C₂×C₅₉	1	1	yes	characteristic
348	C₂×#435	C₂×C₅₉	1	1	yes	characteristic
349	#2352	C₂×C₅₉	1	1	yes	characteristic
350	#1993	C₂×C₅₉	1	1	yes	characteristic, complemented
351	#1987	C₂×C₅₉	1	1	yes	characteristic, complemented
352	#1894	C₂×C₅₉	1	1	yes	characteristic, complemented
353	#1892	C₂×C₅₉	1	1	yes	characteristic, complemented
354	#1873	C₂×C₅₉	1	1	yes	characteristic, complemented
355	#1872	C₂×C₅₉	1	1	yes	characteristic, complemented
356	#1825	C₂×C₅₉	1	1	yes	characteristic, complemented
357	#1825	C₂×C₅₉	1	1	yes	characteristic, complemented
358	#1805	C₂×C₅₉	1	1	yes	characteristic, complemented
359	#1763	C₂×C₅₉	1	1	yes	characteristic, complemented
360	#1736	C₂×C₅₉	1	1	yes	characteristic, complemented
361	#1735	C₂×C₅₉	1	1	yes	characteristic, complemented
362	C₂×C₅₉	—	4	2	no	—
363	C₂×C₅₉	—	4	2	no	—
364	C₂×C₅₉	#2339	1	1	yes	characteristic
365	C₂×C₅₉	#2896	1	1	yes	characteristic
366	C₂×C₅₉	#2898	1	1	yes	characteristic
367	C₂×C₅₉	#3311	1	1	yes	characteristic
368	C₂×C₅₉	#3313	1	1	yes	characteristic
369	C₂×C₅₉	#3349	1	1	yes	characteristic
370	C₂×C₅₉	#3350	1	1	yes	characteristic
371	C₂²×M₁₆	C₂²×C₅₉	1	1	yes	characteristic
372	C₂³×C₈	C₂²×C₅₉	1	1	yes	characteristic
373	#556	—	2	4	no	—
374	#556	C₄×C₅₉	1	8	yes	complemented
375	C₂×C₄⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
376	C₂×#126	—	2	1	no	—
377	C₂×#126	—	2	1	no	—
378	C₂×#124	—	2	1	no	—
379	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
380	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
381	C₂×C₄×Q₈	—	2	1	no	—
382	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
383	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
384	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
385	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
386	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
387	C₂²×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
388	#435	—	2	4	no	—
389	C₂×C₄⋊C₈	C₂²×C₅₉	1	1	yes	characteristic
390	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
391	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
392	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
393	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
394	C₂×C₂²⋊C₈	C₂²×C₅₉	1	1	yes	characteristic
395	C₂×C₂²⋊C₈	C₂²×C₅₉	1	1	yes	characteristic
396	C₂×#97	C₂²×C₅₉	1	1	yes	characteristic
397	#388	—	2	1	no	—
398	#387	—	2	1	no	—
399	#386	—	2	1	no	—
400	#382	C₂²×C₅₉	1	1	yes	characteristic
401	#380	C₂²×C₅₉	1	1	yes	characteristic
402	#380	C₂²×C₅₉	1	1	yes	characteristic
403	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
404	C₄×C₂²⋊C₄	—	2	1	no	—
405	#340	C₂²×C₅₉	1	1	yes	characteristic
406	#340	C₂²×C₅₉	1	1	yes	characteristic
407	#340	C₂²×C₅₉	1	1	yes	characteristic
408	#340	C₂²×C₅₉	1	1	yes	characteristic
409	#340	C₂²×C₅₉	1	1	yes	characteristic
410	#340	C₂²×C₅₉	1	1	yes	characteristic
411	#340	C₂²×C₅₉	1	1	yes	characteristic
412	#340	C₂²×C₅₉	1	1	yes	characteristic
413	#340	C₂²×C₅₉	1	1	yes	characteristic
414	#340	C₂²×C₅₉	1	1	yes	characteristic
415	#340	C₂²×C₅₉	1	1	yes	characteristic
416	#340	C₂²×C₅₉	1	1	yes	characteristic
417	C₅₉	#22494	1	1	yes	characteristic, direct product factor, Sylow
418	C₂²×Q₈	—	2	1	no	—
419	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
420	C₂²×D₄	D₄×C₅₉	1	1	yes	characteristic
421	C₂³×C₄	—	2	1	no	—
422	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
423	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
424	C₂×M₁₆	—	2	2	no	—
425	C₂×M₁₆	—	2	2	no	—
426	C₂×M₁₆	—	4	1	no	—
427	C₂²×C₈	—	2	2	no	—
428	C₂²×C₈	—	2	2	no	—
429	C₂²×C₈	—	4	1	no	—
430	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
431	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
432	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
433	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
434	C₄⋊Q₈	—	2	2	no	—
435	C₄⋊Q₈	C₂×C₄×C₅₉	1	4	yes	complemented
436	#126	—	2	8	no	—
437	#126	—	2	8	no	—
438	#124	—	2	8	no	—
439	C₂²⋊Q₈	—	2	2	no	—
440	C₂²⋊Q₈	—	2	2	no	—
441	C₂²⋊Q₈	C₂×C₄×C₅₉	1	4	yes	—
442	C₂²⋊Q₈	C₂×C₄×C₅₉	1	4	yes	complemented
443	C₄×Q₈	—	2	8	no	—
444	C₄×Q₈	—	2	2	no	—
445	C₄×Q₈	C₂×C₄×C₅₉	1	4	yes	complemented
446	C₄×D₄	C₂×C₄×C₅₉	1	4	yes	—
447	C₄×D₄	D₄×C₅₉	1	4	yes	—
448	#117	—	2	2	no	—
449	#117	—	2	2	no	—
450	#117	—	2	2	no	—
451	#117	—	4	1	no	—
452	#117	C₂×C₄×C₅₉	1	4	yes	—
453	#117	C₂×C₄×C₅₉	1	4	yes	complemented
454	C₂×C₄⋊C₄	—	2	1	no	—
455	C₂×C₄⋊C₄	—	2	1	no	—
456	C₂×C₄⋊C₄	—	2	1	no	—
457	C₂×C₄⋊C₄	—	2	1	no	—
458	C₂×C₄⋊C₄	—	2	2	no	—
459	C₂×C₄⋊C₄	—	2	1	no	—
460	C₂×C₄⋊C₄	—	4	1	no	—
461	C₂×C₄⋊C₄	D₄×C₅₉	1	1	yes	characteristic
462	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
463	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
464	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
465	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
466	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
467	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
468	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
469	C₂×C₂²⋊C₄	—	2	1	no	—
470	C₂×C₂²⋊C₄	—	2	1	no	—
471	C₂×C₂²⋊C₄	—	2	1	no	—
472	C₂×C₂²⋊C₄	—	2	1	no	—
473	C₂×C₂²⋊C₄	—	2	1	no	—
474	C₂×C₂²⋊C₄	—	2	1	no	—
475	C₂×C₂²⋊C₄	—	2	1	no	—
476	C₂×C₂²⋊C₄	D₄×C₅₉	1	1	yes	characteristic
477	C₂×C₂²⋊C₄	D₄×C₅₉	1	1	yes	characteristic
478	C₂×C₄²	—	2	1	no	—
479	C₂×C₄²	—	2	1	no	—
480	C₂×C₄²	—	2	1	no	—
481	C₂×C₄²	—	2	1	no	—
482	C₂×C₄²	—	2	1	no	—
483	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
484	C₄⋊C₈	—	2	2	no	—
485	#103	—	2	2	no	—
486	#103	—	2	2	no	—
487	#103	—	4	1	no	—
488	#103	—	4	1	no	—
489	C₂²⋊C₈	—	2	2	no	—
490	C₂²⋊C₈	—	2	2	no	—
491	#97	—	2	2	no	—
492	#95	—	2	1	no	—
493	#95	—	2	1	no	—
494	#95	—	2	1	no	—
495	#95	—	2	1	no	—
496	#95	—	2	1	no	—
497	C₂⁴	C₂×D₄×C₅₉	1	1	yes	characteristic
498	C₂⁴	C₂×D₄×C₅₉	1	1	yes	characteristic
499	C₂×Q₈	—	2	4	no	—
500	C₂×Q₈	—	2	1	no	—
501	C₂×Q₈	—	2	1	no	—
502	C₂×Q₈	—	2	1	no	—
503	C₂×Q₈	—	2	1	no	—
504	C₂×Q₈	—	2	1	no	—
505	C₂×Q₈	—	4	2	no	—
506	C₂×Q₈	—	4	2	no	—
507	C₂×Q₈	C₂²×C₄×C₅₉	1	2	yes	—
508	C₂×D₄	—	4	1	no	—
509	C₂×D₄	—	4	1	no	—
510	C₂×D₄	C₂²⋊C₄×C₅₉	1	4	yes	—
511	C₂²×C₄	—	2	1	no	—
512	C₂²×C₄	—	2	1	no	—
513	C₂²×C₄	—	2	1	no	—
514	C₂²×C₄	—	2	1	no	—
515	C₂²×C₄	—	2	1	no	—
516	C₂²×C₄	—	2	1	no	—
517	C₂²×C₄	—	2	1	no	—
518	C₂²×C₄	—	2	1	no	—
519	C₂²×C₄	—	2	1	no	—
520	C₂²×C₄	—	2	1	no	—
521	C₂²×C₄	—	2	1	no	—
522	C₂²×C₄	—	2	1	no	—
523	C₂²×C₄	—	2	1	no	—
524	C₂²×C₄	—	2	1	no	—
525	C₂²×C₄	—	2	1	no	—
526	C₂²×C₄	—	2	1	no	—
527	C₂²×C₄	—	4	2	no	—
528	C₂²×C₄	—	4	2	no	—
529	C₂²×C₄	—	8	1	no	—
530	C₂²×C₄	C₂²×C₄×C₅₉	1	2	yes	—
531	C₂²×C₄	C₂²×C₄×C₅₉	1	2	yes	—
532	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
533	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
534	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
535	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
536	C₂²×C₄	C₂×D₄×C₅₉	1	2	yes	—
537	C₂²×C₄	C₂×D₄×C₅₉	1	2	yes	—
538	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
539	M₁₆	—	4	4	no	—
540	C₂×C₈	—	2	1	no	—
541	C₂×C₈	—	2	1	no	—
542	C₂×C₈	—	2	1	no	—
543	C₂×C₈	—	2	1	no	—
544	C₂×C₈	—	2	1	no	—
545	C₂×C₈	—	2	1	no	—
546	C₂×C₈	—	2	1	no	—
547	C₂×C₈	—	2	1	no	—
548	C₂×C₈	—	2	1	no	—
549	C₂×C₈	—	2	1	no	—
550	C₂×C₈	—	2	1	no	—
551	C₂×C₈	—	4	4	no	—
552	C₂×C₈	#41×C₅₉	1	2	yes	—
553	C₄⋊C₄	—	2	4	no	—
554	C₄⋊C₄	—	2	4	no	—
555	C₄⋊C₄	—	2	4	no	—
556	C₄⋊C₄	—	2	4	no	—
557	C₄⋊C₄	—	2	1	no	—
558	C₄⋊C₄	—	2	1	no	—
559	C₄⋊C₄	—	2	1	no	—
560	C₄⋊C₄	—	2	1	no	—
561	C₄⋊C₄	—	2	1	no	—
562	C₄⋊C₄	—	2	1	no	—
563	C₄⋊C₄	—	2	1	no	—
564	C₄⋊C₄	—	2	1	no	—
565	C₄⋊C₄	—	2	1	no	—
566	C₄⋊C₄	—	2	1	no	—
567	C₄⋊C₄	—	4	2	no	—
568	C₄⋊C₄	C₂²⋊C₄×C₅₉	1	4	yes	—
569	C₄⋊C₄	C₂²×C₄×C₅₉	1	2	yes	—
570	C₄⋊C₄	C₂²×C₄×C₅₉	1	2	yes	—
571	C₄⋊C₄	C₂²×C₄×C₅₉	1	2	yes	—
572	C₄⋊C₄	#41×C₅₉	1	2	yes	—
573	C₂²⋊C₄	—	2	4	no	—
574	C₂²⋊C₄	—	2	4	no	—
575	C₂²⋊C₄	—	2	4	no	—
576	C₂²⋊C₄	—	2	4	no	—
577	C₂²⋊C₄	—	4	2	no	—
578	C₂²⋊C₄	—	4	2	no	—
579	C₂²⋊C₄	—	8	1	no	—
580	C₂²⋊C₄	C₂²⋊C₄×C₅₉	1	4	yes	—
581	C₂²⋊C₄	C₂²⋊C₄×C₅₉	1	4	yes	—
582	C₄²	—	2	4	no	—
583	C₄²	—	2	4	no	—
584	C₄²	—	2	4	no	—
585	C₄²	—	4	2	no	—
586	C₄²	—	8	1	no	—
587	C₄²	C₂²×C₄×C₅₉	1	2	yes	—
588	C₄²	C₂×D₄×C₅₉	1	2	yes	—
589	C₂³	—	2	1	no	—
590	C₂³	—	2	1	no	—
591	C₂³	—	2	1	no	—
592	C₂³	—	2	1	no	—
593	C₂³	—	2	1	no	—
594	C₂³	—	2	1	no	—
595	C₂³	—	2	1	no	—
596	C₂³	—	2	1	no	—
597	C₂³	—	2	1	no	—
598	C₂³	—	2	1	no	—
599	C₂³	—	2	1	no	—
600	C₂³	—	2	1	no	—
601	C₂³	C₂×C₂²⋊C₄×C₅₉	1	2	yes	—
602	C₂³	C₂×C₂²⋊C₄×C₅₉	1	2	yes	—
603	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
604	Q₈	—	2	2	no	—
605	Q₈	—	2	2	no	—
606	Q₈	—	4	8	no	—
607	Q₈	—	4	1	no	—
608	Q₈	—	4	1	no	—
609	D₄	—	4	4	no	—
610	C₂×C₄	—	2	1	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	1	no	—
613	C₂×C₄	—	2	1	no	—
614	C₂×C₄	—	2	1	no	—
615	C₂×C₄	—	2	1	no	—
616	C₂×C₄	—	2	1	no	—
617	C₂×C₄	—	2	1	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	4	1	no	—
632	C₂×C₄	—	4	1	no	—
633	C₂×C₄	—	4	1	no	—
634	C₂×C₄	—	4	1	no	—
635	C₂×C₄	—	4	1	no	—
636	C₂×C₄	—	4	1	no	—
637	C₂×C₄	—	4	1	no	—
638	C₂×C₄	—	4	1	no	—
639	C₂×C₄	—	4	1	no	—
640	C₂×C₄	—	4	1	no	—
641	C₂×C₄	—	4	1	no	—
642	C₂×C₄	—	4	1	no	—
643	C₂×C₄	—	4	1	no	—
644	C₂×C₄	—	4	1	no	—
645	C₂×C₄	—	4	1	no	—
646	C₂×C₄	—	4	1	no	—
647	C₂×C₄	—	4	1	no	—
648	C₂×C₄	—	4	1	no	—
649	C₂×C₄	—	4	1	no	—
650	C₂×C₄	—	8	4	no	—
651	C₂×C₄	C₂×C₂²⋊C₄×C₅₉	1	2	yes	—
652	C₂×C₄	C₂×C₂²⋊C₄×C₅₉	1	2	yes	—
653	C₂×C₄	C₂×C₂²⋊C₄×C₅₉	1	2	yes	—
654	C₂×C₄	C₂×C₂²⋊C₄×C₅₉	1	2	yes	—
655	C₂×C₄	C₂³×C₄×C₅₉	1	1	yes	characteristic
656	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
657	C₂×C₄	C₂×#41×C₅₉	1	1	yes	characteristic
658	C₂×C₄	C₂×#41×C₅₉	1	1	yes	characteristic
659	C₂×C₄	H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
660	C₂×C₄	2₋¹⁺⁴×C₅₉	1	1	yes	characteristic
661	C₈	—	2	2	no	—
662	C₈	—	4	1	no	—
663	C₈	—	4	1	no	—
664	C₈	—	4	1	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	2	2	no	—
667	C₂²	—	2	2	no	—
668	C₂²	—	2	2	no	—
669	C₂²	—	2	2	no	—
670	C₂²	—	2	2	no	—
671	C₂²	—	4	1	no	—
672	C₂²	—	4	1	no	—
673	C₂²	—	4	1	no	—
674	C₂²	—	4	1	no	—
675	C₂²	—	4	1	no	—
676	C₂²	—	4	1	no	—
677	C₂²	—	4	1	no	—
678	C₂²	—	4	1	no	—
679	C₂²	C₂²×C₂²⋊C₄×C₅₉	1	1	yes	characteristic
680	C₂²	C₅₉×#546	1	1	yes	characteristic
681	C₂²	C₅₉×#547	1	1	yes	characteristic
682	C₂²	C₅₉×#575	1	1	yes	characteristic
683	C₂²	C₅₉×#575	1	1	yes	characteristic
684	C₂²	C₅₉×#577	1	1	yes	characteristic
685	C₂²	C₅₉×#578	1	1	yes	characteristic
686	C₄	—	2	2	no	—
687	C₄	—	2	2	no	—
688	C₄	—	2	2	no	—
689	C₄	—	2	2	no	—
690	C₄	—	4	2	no	—
691	C₄	—	4	2	no	—
692	C₄	—	4	2	no	—
693	C₄	—	4	2	no	—
694	C₄	—	4	2	no	—
695	C₄	—	8	1	no	—
696	C₄	—	8	1	no	—
697	C₄	—	8	1	no	—
698	C₄	C₄×#41×C₅₉	1	1	yes	characteristic
699	C₄	C₅₉×#520	1	1	yes	characteristic
700	C₄	C₅₉×#546	1	1	yes	characteristic
701	C₄	C₅₉×#547	1	1	yes	characteristic
702	C₂	—	4	2	no	—
703	C₂	—	4	2	no	—
704	C₂	C₅₉×#2339	1	1	yes	characteristic
705	C₂	C₅₉×#2896	1	1	yes	characteristic
706	C₂	C₅₉×#2898	1	1	yes	characteristic
707	C₂	C₅₉×#3311	1	1	yes	characteristic
708	C₂	C₅₉×#3313	1	1	yes	characteristic
709	C₂	C₅₉×#3349	1	1	yes	characteristic
710	C₂	C₅₉×#3350	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₅₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₅₉
prime radical	C₂²×D₄×C₅₉	D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₅₉ ◁ C₂×C₄×D₄×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₅₉×#1993	C₂	semidirect
5. C₅₉×#1987	C₂	semidirect
6. C₅₉×#1894	C₂	semidirect
7. C₅₉×#1892	C₂	semidirect
8. C₅₉×#1873	C₂	semidirect
9. C₅₉×#1872	C₂	semidirect
10. C₅₉×#1825	C₂	semidirect
11. C₅₉×#1825	C₂	semidirect
12. C₅₉×#1805	C₂	semidirect
13. C₅₉×#1763	C₂	semidirect
14. C₅₉×#1736	C₂	semidirect
15. C₅₉×#1735	C₂	semidirect
19. C₅₉×#556	C₄	semidirect
79. C₄⋊Q₈×C₅₉	C₂×C₄	semidirect
86. C₂²⋊Q₈×C₅₉	C₂×C₄	semidirect
89. C₄×Q₈×C₅₉	C₂×C₄	semidirect
97. #117×C₅₉	C₂×C₄	semidirect
309. #22494	C₅₉	direct (N × H)
350. #1993	C₂×C₅₉	semidirect
351. #1987	C₂×C₅₉	semidirect
352. #1894	C₂×C₅₉	semidirect
353. #1892	C₂×C₅₉	semidirect
354. #1873	C₂×C₅₉	semidirect
355. #1872	C₂×C₅₉	semidirect
356. #1825	C₂×C₅₉	semidirect
357. #1825	C₂×C₅₉	semidirect
358. #1805	C₂×C₅₉	semidirect
359. #1763	C₂×C₅₉	semidirect
360. #1736	C₂×C₅₉	semidirect
361. #1735	C₂×C₅₉	semidirect
374. #556	C₄×C₅₉	semidirect
417. C₅₉	#22494	direct (N × H)
435. C₄⋊Q₈	C₂×C₄×C₅₉	semidirect
442. C₂²⋊Q₈	C₂×C₄×C₅₉	semidirect
445. C₄×Q₈	C₂×C₄×C₅₉	semidirect
453. #117	C₂×C₄×C₅₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅₉×#556	2
C₂×C₅₉×#435	2
C₅₉×#2352	2
C₅₉×#1993	2
C₅₉×#1987	2
C₅₉×#1894	2
C₅₉×#1892	2
C₅₉×#1873	2
C₅₉×#1872	2
C₅₉×#1825	2
C₅₉×#1805	2
C₅₉×#1763	2
C₅₉×#1736	2
C₅₉×#1735	2
#22494	59

Subgroups — C59×#22494 #28434603

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#22494 #28434603