Subgroups — D₂₂₀ #89183

Order 440.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₅₅	C₂	1	2	yes	maximal, complemented
2	C₄×C₅×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×C₁₁	C₂²	1	1	yes	characteristic
4	D₅₅	—	2	2	no	—
5	D₄₄	—	5	1	no	maximal, Hall
6	C₅×C₁₁	D₄	1	1	yes	characteristic, complemented, Hall
7	C₂×D₁₁	—	5	2	no	—
8	C₄×C₁₁	D₅	1	1	yes	characteristic, complemented
9	D₂₀	—	11	1	no	maximal, Hall
10	C₂×C₁₁	C₂×D₅	1	1	yes	characteristic
11	D₁₁	—	10	2	no	—
12	C₂×D₅	—	11	2	no	—
13	C₄×C₅	D₁₁	1	1	yes	characteristic, complemented
14	C₁₁	D₂₀	1	1	yes	characteristic, complemented, Sylow
15	C₂×C₅	C₂×D₁₁	1	1	yes	characteristic
16	D₅	—	22	2	no	—
17	D₄	—	55	1	no	Sylow
18	C₅	D₄₄	1	1	yes	characteristic, complemented, Sylow
19	C₂²	—	55	2	no	—
20	C₄	D₅₅	1	1	yes	characteristic, complemented
21	C₂	—	110	2	no	—
22	C₂	C₂×D₅₅	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.