Subgroups — D₈×C₂₅ #87731

Order 400.

33 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×C₂₅	C₂	1	2	yes	maximal, complemented
2	C₈×C₂₅	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₂₅	—	2	2	no	—
4	C₄×C₂₅	C₂²	1	1	yes	characteristic
5	C₅×D₈	C₅	1	1	yes	maximal, characteristic
6	C₂×C₂₅	—	4	2	no	—
7	C₂×C₂₅	D₄	1	1	yes	characteristic
8	C₅×D₄	C₂×C₅	1	2	yes	—
9	C₅×C₈	C₂×C₅	1	1	yes	characteristic
10	C₂₅	D₈	1	1	yes	characteristic, direct product factor, Sylow
11	C₂²×C₅	—	2	2	no	—
12	C₄×C₅	C₂²×C₅	1	1	yes	characteristic
13	D₈	C₂₅	1	1	yes	characteristic, direct product factor, Sylow
14	C₂×C₅	—	4	2	no	—
15	C₂×C₅	C₅×D₄	1	1	yes	characteristic
16	D₄	C₂×C₂₅	1	2	yes	complemented
17	C₈	C₂×C₂₅	1	1	yes	characteristic, complemented
18	C₅	C₅×D₈	1	1	yes	characteristic
19	C₂²	—	2	2	no	—
20	C₄	C₂²×C₂₅	1	1	yes	characteristic
21	C₂	—	4	2	no	—
22	C₂	D₄×C₂₅	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.