C₃×#64969 #11749577

order	960
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃ · Schur multiplier (H₂) = C₄

Aliases

Hall	C₃×C₅ ⋊ #498
Sylow	C₅ ⋊ C₃×#498

196 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)(4,5,7,8,6)(17,18,19,21,20,22,23,24);(9,11,12,16)(10,13,14,15);(5,6)(7,8)(9,10,12,14)(11,15,16,13)(18,21)(19,23)(22,24)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 3772);