Finite Group Databasebeta

← C₃₅₇₁⋊C₃ #24924251

Subgroups — C₃₅₇₁⋊C₃ #24924251

Order 10713.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₅₇₁	C₃	1	1	yes	maximal, characteristic, complemented, Sylow
2	C₃	—	3571	1	no	maximal, Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃₅₇₁	C₃
LCS	G ▷ C₃₅₇₁
UCS	C₁

Complements

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

N	H ≅ G/N	type
1. C₃₅₇₁	C₃	semidirect