C₃×C₈×D₅⋊C₈ #14280311

order	1920
isoclinism	isoclinic class of AGL(1,𝔽₅)
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₈² · Schur multiplier (H₂) = C₂²×C₈

Aliases

direct product	C₃×C₈×D₅⋊C₈
unambiguous semidirect product	D₅⋊(C₃×C₈²)

derived, Sylow	C₅ ⋊ C₂×C₃×C₈²
Hall	C₃×C₅ ⋊ C₂×C₈²

560 conjugacy classes of subgroups.

μ_t(G) = 960

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 6009);