Subgroups — C₂×C₈ #33

Order 16.

11 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄	C₂	1	1	yes	maximal, characteristic
2	C₈	C₂	1	2	yes	maximal, direct product factor
3	C₂²	C₄	1	1	yes	characteristic
4	C₄	C₄	1	1	yes	characteristic
5	C₄	C₂²	1	1	yes	characteristic
6	C₂	C₈	1	2	yes	direct product factor
7	C₂	C₂×C₄	1	1	yes	characteristic

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

N	H ≅ G/N	type
2. C₈	C₂	direct (N × H)
6. C₂	C₈	direct (N × H)

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₄	2
C₈	2