Subgroups — C₂×C₃×C₅×#501 #14276195

Order 1920.

768 conjugacy classes of subgroups.

The subgroup lattice has 304 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₅×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₅×#125	C₂	1	1	yes	maximal, characteristic
3	C₃×C₅×#501	C₂	1	8	yes	maximal, direct product factor
4	C₂×C₃×C₅×#107	C₂	1	2	yes	maximal
5	C₂×C₃×C₅×#106	C₂	1	2	yes	maximal
6	C₂×C₃×C₅×#97	C₂	1	1	yes	maximal, characteristic
7	C₂×C₅×#501	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₂²×C₃×C₅×Q₈	—	2	1	no	—
9	C₂²×C₃×C₅×C₈	C₂²	1	2	yes	—
10	C₃×C₅×C₄⋊Q₈	—	2	2	no	—
11	C₃×C₅×C₄⋊Q₈	C₂²	1	4	yes	—
12	C₃×C₅×#125	—	2	2	no	—
13	C₃×C₅×#125	C₂²	1	4	yes	—
14	C₂×C₃×C₅×C₄⋊C₄	—	2	1	no	—
15	C₂×C₃×C₅×C₄⋊C₄	—	2	1	no	—
16	C₂×C₃×C₅×C₄⋊C₄	—	2	1	no	—
17	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
18	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
19	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	2	yes	—
20	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
21	C₃×C₅×#107	C₂²	1	8	yes	—
22	C₃×C₅×#106	C₂²	1	8	yes	—
23	C₃×C₅×#97	C₂²	1	4	yes	—
24	C₂×C₃×#501	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
25	C₂×C₅×C₄⋊Q₈	C₂×C₃	1	1	yes	characteristic
26	C₂×C₅×#125	C₂×C₃	1	1	yes	characteristic
27	C₅×#501	C₂×C₃	1	8	yes	direct product factor
28	C₂×C₅×#107	C₂×C₃	1	2	yes	—
29	C₂×C₅×#106	C₂×C₃	1	2	yes	—
30	C₂×C₅×#97	C₂×C₃	1	1	yes	characteristic
31	C₂×C₃×C₅×Q₈	—	2	4	no	—
32	C₂×C₃×C₅×Q₈	—	4	4	no	—
33	C₂²×C₃×C₄×C₅	—	2	1	no	—
34	C₂²×C₃×C₄×C₅	—	2	1	no	—
35	C₂²×C₃×C₄×C₅	—	2	2	no	—
36	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
37	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
38	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
39	C₂×C₃×C₅×C₈	Q₈	1	8	yes	complemented
40	C₂×C₃×C₅×C₈	C₂³	1	4	yes	—
41	C₃×C₅×C₄⋊C₄	—	2	4	no	—
42	C₃×C₅×C₄⋊C₄	—	2	4	no	—
43	C₃×C₅×C₄⋊C₄	—	2	4	no	—
44	C₃×C₅×C₄⋊C₄	—	2	1	no	—
45	C₃×C₅×C₄⋊C₄	—	2	1	no	—
46	C₃×C₅×C₄⋊C₄	—	2	2	no	—
47	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
48	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
49	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
50	C₃×C₄²×C₅	D₄	1	2	yes	—
51	C₃×C₄²×C₅	C₂³	1	2	yes	—
52	C₂×C₃×C₄⋊Q₈	C₂×C₅	1	1	yes	characteristic
53	C₂×C₃×#125	C₂×C₅	1	1	yes	characteristic
54	C₃×#501	C₂×C₅	1	8	yes	direct product factor
55	C₂×C₃×#107	C₂×C₅	1	2	yes	—
56	C₂×C₃×#106	C₂×C₅	1	2	yes	—
57	C₂×C₃×#97	C₂×C₅	1	1	yes	characteristic
58	C₂²×C₅×Q₈	—	2	1	no	—
59	C₂²×C₅×C₈	C₂²×C₃	1	2	yes	—
60	C₅×C₄⋊Q₈	—	2	2	no	—
61	C₅×C₄⋊Q₈	C₂²×C₃	1	4	yes	—
62	C₅×#125	—	2	2	no	—
63	C₅×#125	C₂²×C₃	1	4	yes	—
64	C₂×C₅×C₄⋊C₄	—	2	1	no	—
65	C₂×C₅×C₄⋊C₄	—	2	1	no	—
66	C₂×C₅×C₄⋊C₄	—	2	1	no	—
67	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
68	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
69	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
70	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
71	C₅×#107	C₂²×C₃	1	8	yes	—
72	C₅×#106	C₂²×C₃	1	8	yes	—
73	C₅×#97	C₂²×C₃	1	4	yes	—
74	C₂×#501	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
75	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
76	C₃×C₅×Q₈	—	4	8	no	—
77	C₂×C₃×C₄×C₅	—	2	2	no	—
78	C₂×C₃×C₄×C₅	—	2	2	no	—
79	C₂×C₃×C₄×C₅	—	2	2	no	—
80	C₂×C₃×C₄×C₅	—	2	2	no	—
81	C₂×C₃×C₄×C₅	—	2	4	no	—
82	C₂×C₃×C₄×C₅	—	4	2	no	—
83	C₂×C₃×C₄×C₅	—	4	4	no	—
84	C₂×C₃×C₄×C₅	—	4	2	no	—
85	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
86	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
87	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
88	C₂×C₃×C₄×C₅	C₂×Q₈	1	4	yes	—
89	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
90	C₃×C₅×C₈	C₂×Q₈	1	8	yes	complemented
91	C₂²×C₃×Q₈	—	2	1	no	—
92	C₂²×C₃×C₈	C₂²×C₅	1	2	yes	—
93	C₃×C₄⋊Q₈	—	2	2	no	—
94	C₃×C₄⋊Q₈	C₂²×C₅	1	4	yes	—
95	C₃×#125	—	2	2	no	—
96	C₃×#125	C₂²×C₅	1	4	yes	—
97	C₂×C₃×C₄⋊C₄	—	2	1	no	—
98	C₂×C₃×C₄⋊C₄	—	2	1	no	—
99	C₂×C₃×C₄⋊C₄	—	2	1	no	—
100	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
101	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
102	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
103	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
104	C₃×#107	C₂²×C₅	1	8	yes	—
105	C₃×#106	C₂²×C₅	1	8	yes	—
106	C₃×#97	C₂²×C₅	1	4	yes	—
107	C₂×C₅×Q₈	—	2	4	no	—
108	C₂×C₅×Q₈	—	4	4	no	—
109	C₂²×C₄×C₅	—	2	1	no	—
110	C₂²×C₄×C₅	—	2	1	no	—
111	C₂²×C₄×C₅	—	2	2	no	—
112	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
113	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
114	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
115	C₂×C₅×C₈	C₃×Q₈	1	8	yes	complemented
116	C₂×C₅×C₈	C₂³×C₃	1	4	yes	—
117	C₅×C₄⋊C₄	—	2	4	no	—
118	C₅×C₄⋊C₄	—	2	4	no	—
119	C₅×C₄⋊C₄	—	2	4	no	—
120	C₅×C₄⋊C₄	—	2	1	no	—
121	C₅×C₄⋊C₄	—	2	1	no	—
122	C₅×C₄⋊C₄	—	2	2	no	—
123	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
124	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
125	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
126	C₄²×C₅	C₃×D₄	1	2	yes	—
127	C₄²×C₅	C₂³×C₃	1	2	yes	—
128	C₂×C₄⋊Q₈	C₂×C₃×C₅	1	1	yes	characteristic
129	C₂×#125	C₂×C₃×C₅	1	1	yes	characteristic
130	#501	C₂×C₃×C₅	1	8	yes	direct product factor
131	C₂×#107	C₂×C₃×C₅	1	2	yes	—
132	C₂×#106	C₂×C₃×C₅	1	2	yes	—
133	C₂×#97	C₂×C₃×C₅	1	1	yes	characteristic
134	C₂²×C₃×C₅	C₄⋊Q₈	1	2	yes	—
135	C₂²×C₃×C₅	AGL(1,ℤ/8)	1	2	yes	—
136	C₂²×C₃×C₅	#137	1	2	yes	—
137	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
138	C₃×C₄×C₅	—	2	2	no	—
139	C₃×C₄×C₅	—	2	2	no	—
140	C₃×C₄×C₅	—	4	2	no	—
141	C₃×C₄×C₅	—	4	4	no	—
142	C₃×C₄×C₅	—	4	2	no	—
143	C₃×C₄×C₅	C₄⋊Q₈	1	2	yes	—
144	C₃×C₄×C₅	C₂²×Q₈	1	2	yes	—
145	C₂×C₃×Q₈	—	2	4	no	—
146	C₂×C₃×Q₈	—	4	4	no	—
147	C₂²×C₃×C₄	—	2	1	no	—
148	C₂²×C₃×C₄	—	2	1	no	—
149	C₂²×C₃×C₄	—	2	2	no	—
150	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
151	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
152	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
153	C₂×C₃×C₈	C₅×Q₈	1	8	yes	complemented
154	C₂×C₃×C₈	C₂³×C₅	1	4	yes	—
155	C₃×C₄⋊C₄	—	2	4	no	—
156	C₃×C₄⋊C₄	—	2	4	no	—
157	C₃×C₄⋊C₄	—	2	4	no	—
158	C₃×C₄⋊C₄	—	2	1	no	—
159	C₃×C₄⋊C₄	—	2	1	no	—
160	C₃×C₄⋊C₄	—	2	2	no	—
161	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
162	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
163	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
164	C₃×C₄²	C₅×D₄	1	2	yes	—
165	C₃×C₄²	C₂³×C₅	1	2	yes	—
166	C₂³×C₅	C₂×C₃×D₄	1	1	yes	characteristic
167	C₅×Q₈	—	4	8	no	—
168	C₂×C₄×C₅	—	2	2	no	—
169	C₂×C₄×C₅	—	2	2	no	—
170	C₂×C₄×C₅	—	2	2	no	—
171	C₂×C₄×C₅	—	2	2	no	—
172	C₂×C₄×C₅	—	2	4	no	—
173	C₂×C₄×C₅	—	4	2	no	—
174	C₂×C₄×C₅	—	4	4	no	—
175	C₂×C₄×C₅	—	4	2	no	—
176	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
177	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
178	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
179	C₂×C₄×C₅	C₂×C₃×Q₈	1	4	yes	—
180	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
181	C₅×C₈	C₂×C₃×Q₈	1	8	yes	complemented
182	C₂²×Q₈	—	2	1	no	—
183	C₂²×C₈	C₂²×C₃×C₅	1	2	yes	—
184	C₄⋊Q₈	—	2	2	no	—
185	C₄⋊Q₈	C₂²×C₃×C₅	1	4	yes	—
186	#125	—	2	2	no	—
187	#125	C₂²×C₃×C₅	1	4	yes	—
188	C₂×C₄⋊C₄	—	2	1	no	—
189	C₂×C₄⋊C₄	—	2	1	no	—
190	C₂×C₄⋊C₄	—	2	1	no	—
191	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
192	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
193	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	2	yes	—
194	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
195	#107	C₂²×C₃×C₅	1	8	yes	—
196	#106	C₂²×C₃×C₅	1	8	yes	—
197	#97	C₂²×C₃×C₅	1	4	yes	—
198	C₂×C₃×C₅	#501	1	4	yes	direct product factor
199	C₂×C₃×C₅	C₂×C₄⋊Q₈	1	1	yes	characteristic
200	C₂×C₃×C₅	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
201	C₂×C₃×C₅	C₂×#137	1	1	yes	characteristic
202	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
203	C₃×Q₈	—	4	8	no	—
204	C₂×C₃×C₄	—	2	2	no	—
205	C₂×C₃×C₄	—	2	2	no	—
206	C₂×C₃×C₄	—	2	2	no	—
207	C₂×C₃×C₄	—	2	2	no	—
208	C₂×C₃×C₄	—	2	4	no	—
209	C₂×C₃×C₄	—	4	2	no	—
210	C₂×C₃×C₄	—	4	4	no	—
211	C₂×C₃×C₄	—	4	2	no	—
212	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
213	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
214	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
215	C₂×C₃×C₄	C₂×C₅×Q₈	1	4	yes	—
216	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
217	C₃×C₈	C₂×C₅×Q₈	1	8	yes	complemented
218	C₂²×C₅	C₃×C₄⋊Q₈	1	2	yes	—
219	C₂²×C₅	C₃×AGL(1,ℤ/8)	1	2	yes	—
220	C₂²×C₅	C₃×#137	1	2	yes	—
221	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
222	C₄×C₅	—	2	2	no	—
223	C₄×C₅	—	2	2	no	—
224	C₄×C₅	—	4	2	no	—
225	C₄×C₅	—	4	4	no	—
226	C₄×C₅	—	4	2	no	—
227	C₄×C₅	C₃×C₄⋊Q₈	1	2	yes	—
228	C₄×C₅	C₂²×C₃×Q₈	1	2	yes	—
229	C₂×Q₈	—	2	4	no	—
230	C₂×Q₈	—	4	4	no	—
231	C₂²×C₄	—	2	1	no	—
232	C₂²×C₄	—	2	1	no	—
233	C₂²×C₄	—	2	2	no	—
234	C₂²×C₄	C₃×C₅×D₄	1	1	yes	characteristic
235	C₂²×C₄	C₃×C₅×D₄	1	1	yes	characteristic
236	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
237	C₂×C₈	C₃×C₅×Q₈	1	8	yes	complemented
238	C₂×C₈	C₂³×C₃×C₅	1	4	yes	—
239	C₄⋊C₄	—	2	4	no	—
240	C₄⋊C₄	—	2	4	no	—
241	C₄⋊C₄	—	2	4	no	—
242	C₄⋊C₄	—	2	1	no	—
243	C₄⋊C₄	—	2	1	no	—
244	C₄⋊C₄	—	2	2	no	—
245	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
246	C₄⋊C₄	C₂³×C₃×C₅	1	4	yes	—
247	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
248	C₄²	C₃×C₅×D₄	1	2	yes	—
249	C₄²	C₂³×C₃×C₅	1	2	yes	—
250	C₃×C₅	C₂×#501	1	1	yes	characteristic, direct product factor, Hall
251	C₂²×C₃	C₅×C₄⋊Q₈	1	2	yes	—
252	C₂²×C₃	C₅×AGL(1,ℤ/8)	1	2	yes	—
253	C₂²×C₃	C₅×#137	1	2	yes	—
254	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
255	C₃×C₄	—	2	2	no	—
256	C₃×C₄	—	2	2	no	—
257	C₃×C₄	—	4	2	no	—
258	C₃×C₄	—	4	4	no	—
259	C₃×C₄	—	4	2	no	—
260	C₃×C₄	C₅×C₄⋊Q₈	1	2	yes	—
261	C₃×C₄	C₂²×C₅×Q₈	1	2	yes	—
262	C₂×C₅	C₃×#501	1	4	yes	direct product factor
263	C₂×C₅	C₂×C₃×C₄⋊Q₈	1	1	yes	characteristic
264	C₂×C₅	C₂×C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
265	C₂×C₅	C₂×C₃×#137	1	1	yes	characteristic
266	C₂³	C₂×C₃×C₅×D₄	1	1	yes	characteristic
267	Q₈	—	4	8	no	—
268	C₂×C₄	—	2	2	no	—
269	C₂×C₄	—	2	2	no	—
270	C₂×C₄	—	2	2	no	—
271	C₂×C₄	—	2	2	no	—
272	C₂×C₄	—	2	4	no	—
273	C₂×C₄	—	4	4	no	—
274	C₂×C₄	—	4	2	no	—
275	C₂×C₄	—	4	2	no	—
276	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
277	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
278	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
279	C₂×C₄	C₂×C₃×C₅×Q₈	1	4	yes	—
280	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
281	C₈	C₂×C₃×C₅×Q₈	1	8	yes	complemented
282	C₂×C₃	C₅×#501	1	4	yes	direct product factor
283	C₂×C₃	C₂×C₅×C₄⋊Q₈	1	1	yes	characteristic
284	C₂×C₃	C₂×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
285	C₂×C₃	C₂×C₅×#137	1	1	yes	characteristic
286	C₅	C₂×C₃×#501	1	1	yes	characteristic, direct product factor, Sylow
287	C₂²	C₃×C₅×C₄⋊Q₈	1	2	yes	—
288	C₂²	C₃×C₅×AGL(1,ℤ/8)	1	2	yes	—
289	C₂²	C₃×C₅×#137	1	2	yes	—
290	C₂²	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
291	C₄	—	2	2	no	—
292	C₄	—	2	2	no	—
293	C₄	—	4	4	no	—
294	C₄	—	4	2	no	—
295	C₄	—	4	2	no	—
296	C₄	C₃×C₅×C₄⋊Q₈	1	2	yes	—
297	C₄	C₂²×C₃×C₅×Q₈	1	2	yes	—
298	C₃	C₂×C₅×#501	1	1	yes	characteristic, direct product factor, Sylow
299	C₂	C₃×C₅×#501	1	4	yes	direct product factor
300	C₂	C₂×C₃×C₅×C₄⋊Q₈	1	1	yes	characteristic
301	C₂	C₂×C₃×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
302	C₂	C₂×C₃×C₅×#137	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₃×C₅	C₂×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₃×C₅
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃×C₅ ◁ C₂×C₃×C₄²×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₃×C₅×#501	C₂	direct (N × H)
7. C₂×C₅×#501	C₃	direct (N × H)
24. C₂×C₃×#501	C₅	direct (N × H)
27. C₅×#501	C₂×C₃	direct (N × H)
39. C₂×C₃×C₅×C₈	Q₈	semidirect
54. C₃×#501	C₂×C₅	direct (N × H)
74. C₂×#501	C₃×C₅	direct (N × H)
90. C₃×C₅×C₈	C₂×Q₈	semidirect
115. C₂×C₅×C₈	C₃×Q₈	semidirect
130. #501	C₂×C₃×C₅	direct (N × H)
153. C₂×C₃×C₈	C₅×Q₈	semidirect
181. C₅×C₈	C₂×C₃×Q₈	semidirect
198. C₂×C₃×C₅	#501	direct (N × H)
217. C₃×C₈	C₂×C₅×Q₈	semidirect
237. C₂×C₈	C₃×C₅×Q₈	semidirect
250. C₃×C₅	C₂×#501	direct (N × H)
262. C₂×C₅	C₃×#501	direct (N × H)
281. C₈	C₂×C₃×C₅×Q₈	semidirect
282. C₂×C₃	C₅×#501	direct (N × H)
286. C₅	C₂×C₃×#501	direct (N × H)
298. C₃	C₂×C₅×#501	direct (N × H)
299. C₂	C₃×C₅×#501	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×C₅×C₄⋊Q₈	2
C₂×C₃×C₅×#125	2
C₃×C₅×#501	2
C₂×C₃×C₅×#107	2
C₂×C₃×C₅×#106	2
C₂×C₃×C₅×#97	2
C₂×C₅×#501	3
C₂×C₃×#501	5

Subgroups — C2×C3×C5×#501 #14276195

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×C₅×#501 #14276195