C₂²×C₈×D₂₀ #12963133

order	1280
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₈ · Schur multiplier (H₂) = C₂¹⁰

Aliases

C₂²×C₈×D₂₀

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

3694 conjugacy classes of subgroups.

μ_t(G) = 640

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1033401);