Subgroups — C₂×Dic₂₅ #6020

Order 200.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₂₅	C₂	1	1	yes	maximal, characteristic
2	Dic₂₅	C₂	1	2	yes	maximal, direct product factor
3	C₂×C₂₅	C₄	1	2	yes	complemented
4	C₂×C₂₅	C₂²	1	1	yes	characteristic
5	C₂×Dic₅	—	5	1	no	maximal
6	C₂₅	C₂×C₄	1	1	yes	characteristic, complemented, Sylow
7	C₂²×C₅	D₅	1	1	yes	characteristic
8	Dic₅	—	5	2	no	—
9	C₂×C₅	Dic₅	1	2	yes	—
10	C₂×C₅	C₂×D₅	1	1	yes	characteristic
11	C₂×C₄	—	25	1	no	Sylow
12	C₅	C₂×Dic₅	1	1	yes	characteristic
13	C₂²	D₂₅	1	1	yes	characteristic
14	C₄	—	25	2	no	—
15	C₂	Dic₂₅	1	2	yes	direct product factor
16	C₂	C₂×D₂₅	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.