Subgroups — C₃×C₅×#1955 #14274989

Order 1920.

768 conjugacy classes of subgroups.

The subgroup lattice has 320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₄×C₅×D₄	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₅×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×C₅×C₂²⋊C₈	C₂	1	4	yes	maximal, complemented
4	C₂×C₃×C₅×#97	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#1955	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₂²×C₃×C₅×D₄	C₄	1	1	yes	characteristic
7	C₂³×C₃×C₄×C₅	C₂²	1	2	yes	—
8	C₂²×C₃×C₅×C₈	C₂²	1	2	yes	—
9	C₂²×C₃×C₅×C₈	C₂²	1	2	yes	—
10	C₃×C₄×C₅×D₄	—	2	2	no	—
11	C₃×C₄×C₅×D₄	—	2	2	no	—
12	C₂×C₃×C₅×C₄⋊C₄	C₄	1	1	yes	characteristic
13	C₂×C₃×C₅×C₂²⋊C₄	C₄	1	2	yes	—
14	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
15	C₃×C₅×C₄⋊C₈	—	2	2	no	—
16	C₃×C₅×C₂²⋊C₈	—	2	8	no	—
17	C₃×C₅×#97	—	2	2	no	—
18	C₃×#1955	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
19	C₂×C₄×C₅×D₄	C₂×C₃	1	1	yes	characteristic
20	C₂×C₅×C₄⋊C₈	C₂×C₃	1	1	yes	characteristic, complemented
21	C₂×C₅×C₂²⋊C₈	C₂×C₃	1	4	yes	complemented
22	C₂×C₅×#97	C₂×C₃	1	1	yes	characteristic, complemented
23	C₂⁴×C₃×C₅	C₂×C₄	1	2	yes	—
24	C₂×C₃×C₅×D₄	—	2	4	no	—
25	C₂×C₃×C₅×D₄	—	2	2	no	—
26	C₂²×C₃×C₄×C₅	—	2	2	no	—
27	C₂²×C₃×C₄×C₅	—	2	2	no	—
28	C₂²×C₃×C₄×C₅	—	2	4	no	—
29	C₂²×C₃×C₄×C₅	—	2	4	no	—
30	C₂²×C₃×C₄×C₅	C₂×C₄	1	2	yes	—
31	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
34	C₂×C₃×C₅×C₈	—	2	2	no	—
35	C₂×C₃×C₅×C₈	—	2	2	no	—
36	C₂×C₃×C₅×C₈	—	2	4	no	—
37	C₂×C₃×C₅×C₈	—	2	2	no	—
38	C₂×C₃×C₅×C₈	D₄	1	4	yes	complemented
39	C₃×C₅×C₄⋊C₄	—	2	2	no	—
40	C₃×C₅×C₂²⋊C₄	—	2	4	no	—
41	C₃×C₄²×C₅	D₄	1	2	yes	—
42	C₃×C₄²×C₅	D₄	1	2	yes	—
43	C₂×C₃×C₄×D₄	C₂×C₅	1	1	yes	characteristic
44	C₂×C₃×C₄⋊C₈	C₂×C₅	1	1	yes	characteristic, complemented
45	C₂×C₃×C₂²⋊C₈	C₂×C₅	1	4	yes	complemented
46	C₂×C₃×#97	C₂×C₅	1	1	yes	characteristic, complemented
47	C₂²×C₅×D₄	C₃×C₄	1	1	yes	characteristic
48	C₂³×C₄×C₅	C₂²×C₃	1	2	yes	—
49	C₂²×C₅×C₈	C₂²×C₃	1	2	yes	—
50	C₂²×C₅×C₈	C₂²×C₃	1	2	yes	—
51	C₄×C₅×D₄	—	2	2	no	—
52	C₄×C₅×D₄	—	2	2	no	—
53	C₂×C₅×C₄⋊C₄	C₃×C₄	1	1	yes	characteristic
54	C₂×C₅×C₂²⋊C₄	C₃×C₄	1	2	yes	—
55	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
56	C₅×C₄⋊C₈	—	2	2	no	—
57	C₅×C₂²⋊C₈	—	2	8	no	—
58	C₅×#97	—	2	2	no	—
59	#1955	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
60	C₂³×C₃×C₅	—	2	2	no	—
61	C₂³×C₃×C₅	—	2	4	no	—
62	C₂³×C₃×C₅	—	2	2	no	—
63	C₂³×C₃×C₅	—	2	4	no	—
64	C₂³×C₃×C₅	M₁₆	1	4	yes	—
65	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
66	C₃×C₅×D₄	—	2	8	no	—
67	C₂×C₃×C₄×C₅	—	2	2	no	—
68	C₂×C₃×C₄×C₅	—	2	2	no	—
69	C₂×C₃×C₄×C₅	—	2	2	no	—
70	C₂×C₃×C₄×C₅	—	2	4	no	—
71	C₂×C₃×C₄×C₅	—	4	4	no	—
72	C₂×C₃×C₄×C₅	—	4	2	no	—
73	C₂×C₃×C₄×C₅	—	4	2	no	—
74	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	2	yes	—
75	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	2	yes	—
76	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
77	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
78	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
79	C₂×C₃×C₄×C₅	#41	1	2	yes	—
80	C₃×C₅×C₈	—	2	4	no	—
81	C₃×C₅×C₈	—	4	2	no	—
82	C₂²×C₃×D₄	C₄×C₅	1	1	yes	characteristic
83	C₂³×C₃×C₄	C₂²×C₅	1	2	yes	—
84	C₂²×C₃×C₈	C₂²×C₅	1	2	yes	—
85	C₂²×C₃×C₈	C₂²×C₅	1	2	yes	—
86	C₃×C₄×D₄	—	2	2	no	—
87	C₃×C₄×D₄	—	2	2	no	—
88	C₂×C₃×C₄⋊C₄	C₄×C₅	1	1	yes	characteristic
89	C₂×C₃×C₂²⋊C₄	C₄×C₅	1	2	yes	—
90	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
91	C₃×C₄⋊C₈	—	2	2	no	—
92	C₃×C₂²⋊C₈	—	2	8	no	—
93	C₃×#97	—	2	2	no	—
94	C₂⁴×C₅	C₂×C₃×C₄	1	2	yes	—
95	C₂×C₅×D₄	—	2	4	no	—
96	C₂×C₅×D₄	—	2	2	no	—
97	C₂²×C₄×C₅	—	2	2	no	—
98	C₂²×C₄×C₅	—	2	2	no	—
99	C₂²×C₄×C₅	—	2	4	no	—
100	C₂²×C₄×C₅	—	2	4	no	—
101	C₂²×C₄×C₅	C₂×C₃×C₄	1	2	yes	—
102	C₂²×C₄×C₅	C₂×C₃×C₄	1	1	yes	characteristic
103	C₂²×C₄×C₅	C₂×C₃×C₄	1	1	yes	characteristic
104	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
105	C₂×C₅×C₈	—	2	2	no	—
106	C₂×C₅×C₈	—	2	2	no	—
107	C₂×C₅×C₈	—	2	4	no	—
108	C₂×C₅×C₈	—	2	2	no	—
109	C₂×C₅×C₈	C₃×D₄	1	4	yes	complemented
110	C₅×C₄⋊C₄	—	2	2	no	—
111	C₅×C₂²⋊C₄	—	2	4	no	—
112	C₄²×C₅	C₃×D₄	1	2	yes	—
113	C₄²×C₅	C₃×D₄	1	2	yes	—
114	C₂×C₄×D₄	C₂×C₃×C₅	1	1	yes	characteristic
115	C₂×C₄⋊C₈	C₂×C₃×C₅	1	1	yes	characteristic, complemented
116	C₂×C₂²⋊C₈	C₂×C₃×C₅	1	4	yes	complemented
117	C₂×#97	C₂×C₃×C₅	1	1	yes	characteristic, complemented
118	C₂²×C₃×C₅	—	2	4	no	—
119	C₂²×C₃×C₅	—	2	8	no	—
120	C₂²×C₃×C₅	—	4	2	no	—
121	C₂²×C₃×C₅	—	4	2	no	—
122	C₂²×C₃×C₅	—	4	4	no	—
123	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
124	C₂²×C₃×C₅	C₄×D₄	1	2	yes	—
125	C₂²×C₃×C₅	C₂×M₁₆	1	2	yes	—
126	C₂²×C₃×C₅	#131	1	2	yes	—
127	C₃×C₄×C₅	—	2	2	no	—
128	C₃×C₄×C₅	—	2	2	no	—
129	C₃×C₄×C₅	—	4	2	no	—
130	C₃×C₄×C₅	#121	1	2	yes	—
131	C₃×C₄×C₅	#124	1	1	yes	characteristic
132	C₃×C₄×C₅	#127	1	1	yes	characteristic
133	C₂⁴×C₃	C₂×C₄×C₅	1	2	yes	—
134	C₂×C₃×D₄	—	2	4	no	—
135	C₂×C₃×D₄	—	2	2	no	—
136	C₂²×C₃×C₄	—	2	4	no	—
137	C₂²×C₃×C₄	—	2	2	no	—
138	C₂²×C₃×C₄	—	2	2	no	—
139	C₂²×C₃×C₄	—	2	4	no	—
140	C₂²×C₃×C₄	C₂×C₄×C₅	1	2	yes	—
141	C₂²×C₃×C₄	C₂×C₄×C₅	1	1	yes	characteristic
142	C₂²×C₃×C₄	C₂×C₄×C₅	1	1	yes	characteristic
143	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
144	C₂×C₃×C₈	—	2	2	no	—
145	C₂×C₃×C₈	—	2	2	no	—
146	C₂×C₃×C₈	—	2	4	no	—
147	C₂×C₃×C₈	—	2	2	no	—
148	C₂×C₃×C₈	C₅×D₄	1	4	yes	complemented
149	C₃×C₄⋊C₄	—	2	2	no	—
150	C₃×C₂²⋊C₄	—	2	4	no	—
151	C₃×C₄²	C₅×D₄	1	2	yes	—
152	C₃×C₄²	C₅×D₄	1	2	yes	—
153	C₂³×C₅	—	2	2	no	—
154	C₂³×C₅	—	2	4	no	—
155	C₂³×C₅	—	2	2	no	—
156	C₂³×C₅	—	2	4	no	—
157	C₂³×C₅	C₃×M₁₆	1	4	yes	—
158	C₂³×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
159	C₅×D₄	—	2	8	no	—
160	C₂×C₄×C₅	—	2	2	no	—
161	C₂×C₄×C₅	—	2	2	no	—
162	C₂×C₄×C₅	—	2	2	no	—
163	C₂×C₄×C₅	—	2	4	no	—
164	C₂×C₄×C₅	—	4	4	no	—
165	C₂×C₄×C₅	—	4	2	no	—
166	C₂×C₄×C₅	—	4	2	no	—
167	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	2	yes	—
168	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	2	yes	—
169	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
170	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
171	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
172	C₂×C₄×C₅	C₃×#41	1	2	yes	—
173	C₅×C₈	—	2	4	no	—
174	C₅×C₈	—	4	2	no	—
175	C₂²×D₄	C₃×C₄×C₅	1	1	yes	characteristic
176	C₂³×C₄	C₂²×C₃×C₅	1	2	yes	—
177	C₂²×C₈	C₂²×C₃×C₅	1	2	yes	—
178	C₂²×C₈	C₂²×C₃×C₅	1	2	yes	—
179	C₄×D₄	—	2	2	no	—
180	C₄×D₄	—	2	2	no	—
181	C₂×C₄⋊C₄	C₃×C₄×C₅	1	1	yes	characteristic
182	C₂×C₂²⋊C₄	C₃×C₄×C₅	1	2	yes	—
183	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
184	C₄⋊C₈	—	2	2	no	—
185	C₂²⋊C₈	—	2	8	no	—
186	#97	—	2	2	no	—
187	C₂×C₃×C₅	—	4	4	no	—
188	C₂×C₃×C₅	#390	1	1	yes	characteristic
189	C₂×C₃×C₅	#407	1	1	yes	characteristic
190	C₂×C₃×C₅	#408	1	1	yes	characteristic
191	C₂×C₃×C₅	#435	1	4	yes	—
192	C₂³×C₃	—	2	2	no	—
193	C₂³×C₃	—	2	4	no	—
194	C₂³×C₃	—	2	2	no	—
195	C₂³×C₃	—	2	4	no	—
196	C₂³×C₃	C₅×M₁₆	1	4	yes	—
197	C₂³×C₃	C₂²×C₄×C₅	1	1	yes	characteristic
198	C₃×D₄	—	2	8	no	—
199	C₂×C₃×C₄	—	2	2	no	—
200	C₂×C₃×C₄	—	2	2	no	—
201	C₂×C₃×C₄	—	2	2	no	—
202	C₂×C₃×C₄	—	2	4	no	—
203	C₂×C₃×C₄	—	4	4	no	—
204	C₂×C₃×C₄	—	4	2	no	—
205	C₂×C₃×C₄	—	4	2	no	—
206	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	2	yes	—
207	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	2	yes	—
208	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
209	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
210	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
211	C₂×C₃×C₄	C₅×#41	1	2	yes	—
212	C₃×C₈	—	2	4	no	—
213	C₃×C₈	—	4	2	no	—
214	C₂²×C₅	—	2	4	no	—
215	C₂²×C₅	—	2	8	no	—
216	C₂²×C₅	—	4	2	no	—
217	C₂²×C₅	—	4	2	no	—
218	C₂²×C₅	—	4	4	no	—
219	C₂²×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
220	C₂²×C₅	C₃×C₄×D₄	1	2	yes	—
221	C₂²×C₅	C₂×C₃×M₁₆	1	2	yes	—
222	C₂²×C₅	C₃×#131	1	2	yes	—
223	C₄×C₅	—	2	2	no	—
224	C₄×C₅	—	2	2	no	—
225	C₄×C₅	—	4	2	no	—
226	C₄×C₅	C₃×#121	1	2	yes	—
227	C₄×C₅	C₃×#124	1	1	yes	characteristic
228	C₄×C₅	C₃×#127	1	1	yes	characteristic
229	C₂⁴	C₂×C₃×C₄×C₅	1	2	yes	—
230	C₂×D₄	—	2	4	no	—
231	C₂×D₄	—	2	2	no	—
232	C₂²×C₄	—	2	4	no	—
233	C₂²×C₄	—	2	2	no	—
234	C₂²×C₄	—	2	2	no	—
235	C₂²×C₄	—	2	4	no	—
236	C₂²×C₄	C₂×C₃×C₄×C₅	1	2	yes	—
237	C₂²×C₄	C₂×C₃×C₄×C₅	1	1	yes	characteristic
238	C₂²×C₄	C₂×C₃×C₄×C₅	1	1	yes	characteristic
239	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
240	C₂×C₈	—	2	2	no	—
241	C₂×C₈	—	2	2	no	—
242	C₂×C₈	—	2	4	no	—
243	C₂×C₈	—	2	2	no	—
244	C₂×C₈	C₃×C₅×D₄	1	4	yes	complemented
245	C₄⋊C₄	—	2	2	no	—
246	C₂²⋊C₄	—	2	4	no	—
247	C₄²	C₃×C₅×D₄	1	2	yes	—
248	C₄²	C₃×C₅×D₄	1	2	yes	—
249	C₃×C₅	#1955	1	1	yes	characteristic, direct product factor, Hall
250	C₂²×C₃	—	2	4	no	—
251	C₂²×C₃	—	2	8	no	—
252	C₂²×C₃	—	4	2	no	—
253	C₂²×C₃	—	4	2	no	—
254	C₂²×C₃	—	4	4	no	—
255	C₂²×C₃	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
256	C₂²×C₃	C₄×C₅×D₄	1	2	yes	—
257	C₂²×C₃	C₂×C₅×M₁₆	1	2	yes	—
258	C₂²×C₃	C₅×#131	1	2	yes	—
259	C₃×C₄	—	2	2	no	—
260	C₃×C₄	—	2	2	no	—
261	C₃×C₄	—	4	2	no	—
262	C₃×C₄	C₅×#121	1	2	yes	—
263	C₃×C₄	C₅×#124	1	1	yes	characteristic
264	C₃×C₄	C₅×#127	1	1	yes	characteristic
265	C₂×C₅	—	4	4	no	—
266	C₂×C₅	C₃×#390	1	1	yes	characteristic
267	C₂×C₅	C₃×#407	1	1	yes	characteristic
268	C₂×C₅	C₃×#408	1	1	yes	characteristic
269	C₂×C₅	C₃×#435	1	4	yes	—
270	C₂³	—	2	2	no	—
271	C₂³	—	2	4	no	—
272	C₂³	—	2	2	no	—
273	C₂³	—	2	4	no	—
274	C₂³	C₃×C₅×M₁₆	1	4	yes	—
275	C₂³	C₂²×C₃×C₄×C₅	1	1	yes	characteristic
276	D₄	—	2	8	no	—
277	C₂×C₄	—	2	2	no	—
278	C₂×C₄	—	2	2	no	—
279	C₂×C₄	—	2	2	no	—
280	C₂×C₄	—	2	4	no	—
281	C₂×C₄	—	4	4	no	—
282	C₂×C₄	—	4	2	no	—
283	C₂×C₄	—	4	2	no	—
284	C₂×C₄	C₃×C₅×C₂²⋊C₄	1	2	yes	—
285	C₂×C₄	C₃×C₅×C₂²⋊C₄	1	2	yes	—
286	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
287	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
288	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
289	C₂×C₄	C₃×C₅×#41	1	2	yes	—
290	C₈	—	2	4	no	—
291	C₈	—	4	2	no	—
292	C₂×C₃	—	4	4	no	—
293	C₂×C₃	C₅×#390	1	1	yes	characteristic
294	C₂×C₃	C₅×#407	1	1	yes	characteristic
295	C₂×C₃	C₅×#408	1	1	yes	characteristic
296	C₂×C₃	C₅×#435	1	4	yes	—
297	C₅	C₃×#1955	1	1	yes	characteristic, direct product factor, Sylow
298	C₂²	—	2	4	no	—
299	C₂²	—	2	8	no	—
300	C₂²	—	4	2	no	—
301	C₂²	—	4	2	no	—
302	C₂²	—	4	4	no	—
303	C₂²	C₂×C₃×C₅×C₂²⋊C₄	1	1	yes	characteristic
304	C₂²	C₃×C₄×C₅×D₄	1	2	yes	—
305	C₂²	C₂×C₃×C₅×M₁₆	1	2	yes	—
306	C₂²	C₃×C₅×#131	1	2	yes	—
307	C₄	—	2	2	no	—
308	C₄	—	2	2	no	—
309	C₄	—	4	2	no	—
310	C₄	C₃×C₅×#121	1	2	yes	—
311	C₄	C₃×C₅×#124	1	1	yes	characteristic
312	C₄	C₃×C₅×#127	1	1	yes	characteristic
313	C₃	C₅×#1955	1	1	yes	characteristic, direct product factor, Sylow
314	C₂	—	4	4	no	—
315	C₂	C₃×C₅×#390	1	1	yes	characteristic
316	C₂	C₃×C₅×#407	1	1	yes	characteristic
317	C₂	C₃×C₅×#408	1	1	yes	characteristic
318	C₂	C₃×C₅×#435	1	4	yes	—

	subgroup	G/H
center	C₂²×C₃×C₄×C₅	C₂³
commutator	C₂³	C₂²×C₃×C₄×C₅
Frattini, cosocle	C₂²×C₄	C₂³×C₃×C₅
socle	C₂³×C₃×C₅	C₂²×C₄
prime radical	C₂²×C₃×C₅×D₄	C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₃×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₅×C₄⋊C₈	C₂	semidirect
3. C₂×C₃×C₅×C₂²⋊C₈	C₂	semidirect
4. C₂×C₃×C₅×#97	C₂	semidirect
5. C₅×#1955	C₃	direct (N × H)
18. C₃×#1955	C₅	direct (N × H)
20. C₂×C₅×C₄⋊C₈	C₂×C₃	semidirect
21. C₂×C₅×C₂²⋊C₈	C₂×C₃	semidirect
22. C₂×C₅×#97	C₂×C₃	semidirect
38. C₂×C₃×C₅×C₈	D₄	semidirect
44. C₂×C₃×C₄⋊C₈	C₂×C₅	semidirect
45. C₂×C₃×C₂²⋊C₈	C₂×C₅	semidirect
46. C₂×C₃×#97	C₂×C₅	semidirect
59. #1955	C₃×C₅	direct (N × H)
109. C₂×C₅×C₈	C₃×D₄	semidirect
115. C₂×C₄⋊C₈	C₂×C₃×C₅	semidirect
116. C₂×C₂²⋊C₈	C₂×C₃×C₅	semidirect
117. C₂×#97	C₂×C₃×C₅	semidirect
148. C₂×C₃×C₈	C₅×D₄	semidirect
244. C₂×C₈	C₃×C₅×D₄	semidirect
249. C₃×C₅	#1955	direct (N × H)
297. C₅	C₃×#1955	direct (N × H)
313. C₃	C₅×#1955	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×C₄×C₅×D₄	2
C₂×C₃×C₅×C₄⋊C₈	2
C₂×C₃×C₅×C₂²⋊C₈	2
C₂×C₃×C₅×#97	2
C₅×#1955	3
C₃×#1955	5

Subgroups — C3×C5×#1955 #14274989

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#1955 #14274989