Finite Group Databasebeta

← D₅₁₉₇ #23780764

Subgroups — D₅₁₉₇ #23780764

Order 10394.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₁₉₇	C₂	1	1	yes	maximal, characteristic, complemented, Sylow
2	C₂	—	5197	1	no	maximal, Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₅₁₉₇	C₂
LCS	G ▷ C₅₁₉₇
UCS	C₁

Complements

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

N	H ≅ G/N	type
1. C₅₁₉₇	C₂	semidirect