C₅×#67726 #14278934

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

Aliases

Hall	C₃×C₅ ⋊ #1386
Sylow	C₃ ⋊ C₅×#1386

280 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 480

A minimal faithful permutation representation — 2 generators on 28 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 4632);