C₅×#70852 #14291694

order	1920
automorphism	?
homology	Abelianization (H₁) = C₂³×C₅ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₃×C₅ ⋊ #1673
Sylow	C₃ ⋊ C₅×#1673

344 conjugacy classes of subgroups.

minimal degree	μ(G) = 24
transitive degree	μ_t(G) = 960

A minimal faithful permutation representation — 3 generators on 24 points:

(1,2,3,4,5)(6,7,8)(10,13)(11,16)(14,15);(17,18,22,24,20,23,19,21);(7,8)(9,10,12,15)(11,13,16,14)(18,21)(19,22)(23,24)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 17392);