Finite Group Databasebeta

← C₂₂₈₁⋊C₅ #26037565

Subgroups — C₂₂₈₁⋊C₅ #26037565

Order 11405.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₂₈₁	C₅	1	1	yes	maximal, characteristic, complemented, Sylow
2	C₅	—	2281	1	no	maximal, Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₂₂₈₁	C₅
LCS	G ▷ C₂₂₈₁
UCS	C₁

Complements

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

N	H ≅ G/N	type
1. C₂₂₈₁	C₅	semidirect