C₅×C₂²⋊Dic₂₅ #14522211

order	2000
isoclinism	isoclinic class of Dic₅₀
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₅ · Schur multiplier (H₂) = C₂²

Aliases

direct product	C₅×C₂²⋊Dic₂₅
unambiguous semidirect product	C₂²⋊(C₅×Dic₂₅)

C₅×C₂₅ ⋊ C₂²⋊C₄

166 conjugacy classes of subgroups.

μ_t(G) = 200

530 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2000, 174);