Subgroups — D₂₀₈ #88039

Order 416.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₀₄	C₂	1	2	yes	maximal, complemented
2	C₁₃×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	D₅₂	—	2	2	no	—
4	C₈×C₁₃	C₂²	1	1	yes	characteristic
5	C₂×D₁₃	—	4	2	no	—
6	C₄×C₁₃	D₄	1	1	yes	characteristic
7	D₁₆	—	13	1	no	maximal, Sylow
8	C₂×C₁₃	D₈	1	1	yes	characteristic
9	D₁₃	—	8	2	no	—
10	D₈	—	13	2	no	—
11	C₁₆	D₁₃	1	1	yes	characteristic, complemented
12	C₁₃	D₁₆	1	1	yes	characteristic, complemented, Sylow
13	D₄	—	26	2	no	—
14	C₈	C₂×D₁₃	1	1	yes	characteristic
15	C₂²	—	52	2	no	—
16	C₄	D₅₂	1	1	yes	characteristic
17	C₂	—	104	2	no	—
18	C₂	D₁₀₄	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.