C₅×#67720 #14278875

order	1920
isoclinism	isoclinic class of #4487
automorphism	?
homology	Abelianization (H₁) = C₄²×C₅ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₃×C₅ ⋊ #1383
Sylow	C₃ ⋊ C₅×#1383

272 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)(9,10,11,12)(13,14,16,21,17,22,25,28,18,20,15,19,24,26,23,27);(6,7,8)(14,19,20,21)(15,23)(16,25)(17,24)(22,28,26,27)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 4573);