Subgroups — #91145

Order 480.

43 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#6732	C₂	1	1	yes	maximal, characteristic
2	SL(2,𝔽₅)	C₄	1	1	yes	characteristic
3	#131⋊C₃	—	5	1	no	maximal, Hall
4	C₈×D₅	—	6	1	no	maximal
5	#41⋊C₃	—	5	1	no	—
6	D₃×C₈	—	10	1	no	maximal
7	C₄×D₅	—	6	1	no	—
8	C₅×C₈	—	6	1	no	—
9	#168	—	6	1	no	—
10	#131	—	5	1	no	Sylow
11	C₄×D₃	—	10	1	no	—
12	SL(2,𝔽₃)	—	5	1	no	—
13	C₃×C₈	—	10	1	no	—
14	C₃⋊C₈	—	10	1	no	—
15	C₂×D₅	—	6	1	no	—
16	C₄×C₅	—	6	1	no	—
17	Dic₅	—	6	1	no	—
18	#41	—	5	1	no	—
19	M₁₆	—	15	1	no	—
20	C₂×C₈	—	15	1	no	—
21	C₂×D₃	—	10	1	no	—
22	C₃×C₄	—	10	1	no	—
23	Dic₃	—	10	1	no	—
24	C₂×C₅	—	6	1	no	—
25	D₅	—	6	2	no	—
26	Q₈	—	5	1	no	—
27	D₄	—	15	1	no	—
28	C₂×C₄	—	15	1	no	—
29	C₈	—	15	1	no	—
30	C₈	A₅	1	1	yes	maximal normal, characteristic
31	C₂×C₃	—	10	1	no	—
32	D₃	—	10	2	no	—
33	C₅	—	6	1	no	Sylow
34	C₂²	—	15	1	no	—
35	C₄	—	15	1	no	—
36	C₄	C₂×A₅	1	1	yes	characteristic
37	C₃	—	10	1	no	Sylow
38	C₂	—	30	1	no	—
39	C₂	C₄×A₅	1	1	yes	characteristic

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