Subgroups — D₂₀₀ #87714

Order 400.

33 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₀₀	C₂	1	2	yes	maximal, complemented
2	C₈×C₂₅	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×D₂₅	—	2	2	no	—
4	C₄×C₂₅	C₂²	1	1	yes	characteristic
5	D₄₀	—	5	1	no	maximal
6	C₂×C₂₅	D₄	1	1	yes	characteristic
7	D₂₅	—	4	2	no	—
8	D₂₀	—	5	2	no	—
9	C₅×C₈	D₅	1	1	yes	characteristic
10	C₂₅	D₈	1	1	yes	characteristic, complemented, Sylow
11	C₂×D₅	—	10	2	no	—
12	C₄×C₅	C₂×D₅	1	1	yes	characteristic
13	D₈	—	25	1	no	Sylow
14	C₂×C₅	D₂₀	1	1	yes	characteristic
15	D₅	—	20	2	no	—
16	D₄	—	25	2	no	—
17	C₈	D₂₅	1	1	yes	characteristic, complemented
18	C₅	D₄₀	1	1	yes	characteristic
19	C₂²	—	50	2	no	—
20	C₄	C₂×D₂₅	1	1	yes	characteristic
21	C₂	—	100	2	no	—
22	C₂	D₁₀₀	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.