C₅²×C₂²⋊Dic₅ #14522621

order	2000
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₅² · Schur multiplier (H₂) = C₂²×C₅

Aliases

direct product	C₅²×C₂²⋊Dic₅
unambiguous semidirect product	C₂²⋊(C₅²×Dic₅)

C₅³ ⋊ C₂²⋊C₄

656 conjugacy classes of subgroups.

μ_t(G) = 200

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2000, 584);