Finite Group Databasebeta

← C₄₁₂₉⋊C₃ #27136554

Subgroups — C₄₁₂₉⋊C₃ #27136554

Order 12387.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁₂₉	C₃	1	1	yes	maximal, characteristic, complemented, Sylow
2	C₃	—	4129	1	no	maximal, Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₄₁₂₉	C₃
LCS	G ▷ C₄₁₂₉
UCS	C₁

Complements

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

N	H ≅ G/N	type
1. C₄₁₂₉	C₃	semidirect