An example is given of a quasiconvex f : M2×3 → R such that the transposed function f̃ : M3×2 → R given by f̃(F) = f(FT) is not quasiconvex. For f̃ one can take Sverák's quartic polynomial that is rank-one convex but not quasiconvex. The proof is closely related to the observation that the map v ↦ v1v2v3 is weakly continuous from L3(R3; R3) into distributions provided that A(Dv) = (∂2v1, ∂3v1, ∂1v2, ∂3v2, ∂1v3, ∂2v3) is compact in W−1,3(R3; R6).