Subgroups — C₄×C₅⋊D₅ #6046

Order 200.

64 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅⋊D₅	C₂	1	1	yes	maximal, characteristic
2	C₄×C₅²	C₂	1	1	yes	maximal, characteristic, complemented
3	#1039	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₅²	C₂²	1	1	yes	characteristic
5	C₅⋊D₅	C₄	1	2	yes	direct product factor
6	C₄×D₅	—	5	6	no	maximal
7	C₅²	C₂×C₄	1	1	yes	characteristic, complemented, Sylow
8	C₂×D₅	—	5	6	no	—
9	C₄×C₅	D₅	1	6	yes	complemented
10	Dic₅	—	5	6	no	—
11	C₂×C₅	C₂×D₅	1	6	yes	—
12	D₅	—	5	12	no	—
13	C₂×C₄	—	25	1	no	Sylow
14	C₅	C₄×D₅	1	6	yes	complemented
15	C₂²	—	25	1	no	—
16	C₄	—	25	1	no	—
17	C₄	C₅⋊D₅	1	1	yes	characteristic, direct product factor
18	C₂	—	25	2	no	—
19	C₂	C₂×C₅⋊D₅	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.