C₅²×C₄⋊AGL(1,𝔽₅) #14522784

order	2000
isoclinism	isoclinic class of #700
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₅² · Schur multiplier (H₂) = C₂×C₅

Aliases

direct product	C₅²×C₄⋊AGL(1,𝔽₅)
unambiguous semidirect product	C₄⋊(C₅²×AGL(1,𝔽₅))

Fitting	C₄×C₅³ ⋊ C₄
Sylow	C₅³ ⋊ C₄⋊C₄

244 conjugacy classes of subgroups.

μ_t(G) = 400

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2000, 747);