Subgroups — C₂×#1039 #6048

Order 200.

64 conjugacy classes of subgroups.

Conjugacy classes of subgroups

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