Subgroups — C₂×D₂₀₀₉ #22548801

Order 8036.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₂₀₀₉	C₂	1	2	yes	maximal, direct product factor
2	C₂×C₄₁×C₄₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×C₄₉	C₂²	1	1	yes	characteristic, complemented, Hall
4	C₂×D₂₈₇	—	7	1	no	maximal
5	C₂×C₇×C₄₁	D₇	1	1	yes	characteristic
6	D₂₈₇	—	7	2	no	—
7	C₇×C₄₁	C₂×D₇	1	1	yes	characteristic
8	C₂×D₄₉	—	41	1	no	maximal, Hall
9	C₂×D₄₁	—	49	1	no	Hall
10	C₂×C₄₉	D₄₁	1	1	yes	characteristic, complemented
11	D₄₉	—	41	2	no	—
12	C₂×C₄₁	D₄₉	1	1	yes	characteristic, complemented
13	D₄₁	—	49	2	no	—
14	C₄₉	C₂×D₄₁	1	1	yes	characteristic, complemented, Sylow
15	C₄₁	C₂×D₄₉	1	1	yes	characteristic, complemented, Sylow
16	C₂×D₇	—	287	1	no	—
17	C₂×C₇	D₂₈₇	1	1	yes	characteristic
18	D₇	—	287	2	no	—
19	C₇	C₂×D₂₈₇	1	1	yes	characteristic
20	C₂²	—	2009	1	no	Sylow
21	C₂	—	2009	2	no	—
22	C₂	D₂₀₀₉	1	1	yes	characteristic, direct product factor

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