C₅×#71420 #14314325

order	1920
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₈ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₃×C₅ ⋊ #2150
Sylow	C₃ ⋊ C₅×#2150

344 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 960

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

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 40023);