C₅×#67705 #14277097

order	1920
automorphism	?
homology	Abelianization (H₁) = C₄²×C₅ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₃×C₅ ⋊ #1292
Sylow	C₃ ⋊ C₅×#1292

304 conjugacy classes of subgroups.

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

A minimal faithful permutation representation — 2 generators on 24 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 2795);