Subgroups — C₄⋊Dic₁₃ #6102

Order 208.

26 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂×Dic₁₃	C₂	1	2	yes	maximal
3	C₂²×C₁₃	C₂²	1	1	yes	characteristic
4	C₄×C₁₃	C₄	1	2	yes	complemented
5	Dic₁₃	—	2	2	no	—
6	C₂×C₁₃	C₂×C₄	1	1	yes	characteristic
7	C₂×C₁₃	D₄	1	1	yes	characteristic
8	C₂×C₁₃	Q₈	1	1	yes	characteristic
9	C₄⋊C₄	—	13	1	no	maximal, Sylow
10	C₁₃	C₄⋊C₄	1	1	yes	characteristic, complemented, Sylow
11	C₂×C₄	—	13	2	no	—
12	C₂×C₄	D₁₃	1	1	yes	characteristic
13	C₂²	C₂×D₁₃	1	1	yes	characteristic
14	C₄	—	26	2	no	—
15	C₄	Dic₁₃	1	2	yes	complemented
16	C₂	Dic₂₆	1	1	yes	characteristic
17	C₂	D₅₂	1	1	yes	characteristic
18	C₂	C₂×Dic₁₃	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.