C₅×#68597 #14294892

order	1920
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₅ · Schur multiplier (H₂) = C₂²×C₄

Aliases

Hall	C₃×C₅ ⋊ #1745
Sylow	C₃ ⋊ C₅×#1745

544 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 1920

A minimal faithful permutation representation — 3 generators on 28 points:

(1,2,3,4,5)(7,8)(13,15,16,19)(14,18,17,20)(22,25)(26,28);(6,7,8)(9,10,11,12)(14,17)(18,20);(13,14)(15,18)(16,17)(19,20)(21,22,23,26,24,25,27,28)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 20590);