C₈×#4027 #12097609

order	1280
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

Fitting	C₅×C₈×C₂²⋊C₄ ⋊ C₂
Sylow	C₅ ⋊ C₄×C₈×D₄

1422 conjugacy classes of subgroups.

μ_t(G) = 640

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 167877);