C₅×#67658 #14278719

order	1920
isoclinism	isoclinic class of #204
automorphism	?
homology	Abelianization (H₁) = C₄×C₅×C₈ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₃×C₅ ⋊ #1376
Sylow	C₃ ⋊ C₅×#1376

296 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)(9,10,11,12)(14,19,22,20)(21,26,28,27);(7,8)(13,14,16,21,17,20,24,27,18,22,25,28,15,19,23,26)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 4417);