C₈×#4040 #12106263

order	1280
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁵

Aliases

Fitting	C₅×C₈×C₄⋊C₄ ⋊ C₂
Sylow	C₅ ⋊ C₈×#123

1034 conjugacy classes of subgroups.

μ_t(G) = 640

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 176531);