C₅×#67612 #14277129

order	1920
isoclinism	isoclinic class of #4451
automorphism	?
homology	Abelianization (H₁) = C₄²×C₅ · Schur multiplier (H₂) = C₂³

Aliases

Hall	C₃×C₅ ⋊ #1294
Sylow	C₃ ⋊ C₅×#1294

552 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)(6,7,8)(13,15)(14,17,18,19)(16,20)(22,25,27,26);(7,8)(9,10,11,12)(13,14)(15,19)(16,18)(17,20)(21,22)(23,25)(24,27)(26,28)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 2827);