Finite Group Databasebeta

← C₂₀₈₁⋊C₅ #23780950

Subgroups — C₂₀₈₁⋊C₅ #23780950

Order 10405.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₀₈₁	C₅	1	1	yes	maximal, characteristic, complemented, Sylow
2	C₅	—	2081	1	no	maximal, Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₂₀₈₁	C₅
LCS	G ▷ C₂₀₈₁
UCS	C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂₀₈₁	C₅	semidirect