Subgroups — D₉×C₂₅ #90636

Order 450.

18 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₂₅	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	D₃×C₂₅	—	3	1	no	maximal
3	C₅×D₉	C₅	1	1	yes	maximal, characteristic
4	C₃×C₂₅	D₃	1	1	yes	characteristic
5	C₂×C₂₅	—	9	1	no	Hall
6	C₅×C₉	C₂×C₅	1	1	yes	characteristic
7	C₅×D₃	—	3	1	no	—
8	C₂₅	D₉	1	1	yes	characteristic, direct product factor, Sylow
9	D₉	C₂₅	1	1	yes	characteristic, direct product factor, Hall
10	C₃×C₅	C₅×D₃	1	1	yes	characteristic
11	C₂×C₅	—	9	1	no	—
12	C₉	C₂×C₂₅	1	1	yes	characteristic, complemented, Sylow
13	D₃	—	3	1	no	—
14	C₅	C₅×D₉	1	1	yes	characteristic
15	C₃	D₃×C₂₅	1	1	yes	characteristic
16	C₂	—	9	1	no	Sylow

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.