Subgroups — C₅₇₁⋊C₁₉ #24925736

Order 10849.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₇₁	C₁₉	1	1	yes	maximal, characteristic, complemented, Sylow
2	C₁₉	—	571	1	no	maximal, Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₅₇₁	C₁₉
LCS	G ▷ C₅₇₁
UCS	C₁

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

N	H ≅ G/N	type
1. C₅₇₁	C₁₉	semidirect