C₂×C₄×C₈×AGL(1,𝔽₅) #13033096

order	1280
isoclinism	isoclinic class of AGL(1,𝔽₅)
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

Fitting	C₂×C₄×C₅×C₈ ⋊ C₄
derived, Sylow	C₅ ⋊ C₂×C₄²×C₈

2046 conjugacy classes of subgroups.

μ_t(G) = 320

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1103364);