Subgroups — #3930

Order 160.

26 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈×D₅	C₂	1	1	yes	maximal, characteristic
2	C₅×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	#672	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×D₅	C₄	1	1	yes	characteristic
5	C₅×C₈	C₂²	1	1	yes	characteristic
6	#168	C₄	1	1	yes	characteristic
7	M₃₂	—	5	1	no	maximal, Sylow
8	C₂×D₅	C₈	1	1	yes	characteristic
9	C₄×C₅	C₂×C₄	1	1	yes	characteristic
10	Dic₅	C₈	1	1	yes	characteristic
11	C₂×C₈	—	5	1	no	—
12	C₁₆	—	5	1	no	—
13	C₁₆	D₅	1	1	yes	characteristic, complemented
14	C₂×C₅	C₂×C₈	1	1	yes	characteristic
15	D₅	—	2	1	no	—
16	C₂×C₄	—	5	1	no	—
17	C₈	—	5	1	no	—
18	C₈	C₂×D₅	1	1	yes	characteristic
19	C₅	M₃₂	1	1	yes	characteristic, complemented, Sylow
20	C₂²	—	5	1	no	—
21	C₄	—	5	1	no	—
22	C₄	C₄×D₅	1	1	yes	characteristic
23	C₂	—	10	1	no	—
24	C₂	C₈×D₅	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.