Subgroups — C₉×C₂₄₁⋊C₅ #24925721

Order 10845.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₂₄₁⋊C₅	C₃	1	1	yes	maximal, characteristic
2	C₉×C₂₄₁	C₅	1	1	yes	maximal, characteristic, complemented, Hall
3	C₂₄₁⋊C₅	C₉	1	1	yes	characteristic, direct product factor, Hall
4	C₃×C₂₄₁	C₃×C₅	1	1	yes	characteristic
5	C₂₄₁	C₅×C₉	1	1	yes	characteristic, complemented, Sylow
6	C₅×C₉	—	241	1	no	maximal, Hall
7	C₃×C₅	—	241	1	no	—
8	C₉	C₂₄₁⋊C₅	1	1	yes	characteristic, direct product factor, Sylow
9	C₅	—	241	1	no	Sylow
10	C₃	C₃×C₂₄₁⋊C₅	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.