Subgroups — #3950

Order 160.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×C₈	C₂	1	1	yes	maximal, characteristic
2	C₄⋊Dic₅	C₂	1	2	yes	maximal
3	C₂×C₄×C₅	C₂²	1	1	yes	characteristic
4	C₂×Dic₅	—	2	2	no	—
5	C₅×C₈	C₄	1	2	yes	complemented
6	#107	—	5	1	no	maximal, Sylow
7	C₂²×C₅	D₄	1	1	yes	characteristic
8	C₄×C₅	C₂×C₄	1	1	yes	characteristic
9	C₄×C₅	Q₈	1	1	yes	characteristic
10	Dic₅	—	4	2	no	—
11	C₂×C₈	D₅	1	1	yes	characteristic
12	C₄⋊C₄	—	5	2	no	—
13	C₂×C₅	C₄⋊C₄	1	1	yes	characteristic
14	C₂×C₅	D₈	1	1	yes	characteristic
15	C₂×C₅	Q₁₆	1	1	yes	characteristic
16	C₂×C₄	—	10	2	no	—
17	C₂×C₄	C₂×D₅	1	1	yes	characteristic
18	C₈	Dic₅	1	2	yes	complemented
19	C₅	#107	1	1	yes	characteristic, complemented, Sylow
20	C₂²	D₂₀	1	1	yes	characteristic
21	C₄	—	20	2	no	—
22	C₄	Dic₁₀	1	1	yes	characteristic
23	C₄	C₂×Dic₅	1	1	yes	characteristic
24	C₂	D₄₀	1	1	yes	characteristic
25	C₂	Dic₂₀	1	1	yes	characteristic
26	C₂	C₄⋊Dic₅	1	1	yes	characteristic

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

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