C₂×C₃×C₅⋊#564 #14495582

order	1920
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₃ · Schur multiplier (H₂) = C₂⁸

Aliases

direct product	C₂×C₃×C₅⋊#564
unambiguous semidirect product	(C₂×C₅)⋊(C₃×#564)

Hall	C₃×C₅ ⋊ C₂×#564
Sylow	C₅ ⋊ C₂×C₃×#564

1792 conjugacy classes of subgroups.

μ_t(G) = 1920

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 221280);