C₃×#65224 #11749832

order	960
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄ · Schur multiplier (H₂) = C₂²×C₄

Aliases

Hall	C₃×C₅ ⋊ #384
Sylow	C₅ ⋊ C₃×#384

372 conjugacy classes of subgroups.

minimal degree	μ(G) = 20
transitive degree	μ_t(G) = 960

A minimal faithful permutation representation — 3 generators on 20 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 4027);