  A Bagnera-de Franchis variety $X = A/G$ is the quotient of an abelian variety
$A$ by a free action of a finite cyclic group $G \subset Bihol(A)$, which does
not contain only translations. Constructing explicit polarizations and using a
method introduced by F. Catanese, we classify split Bagnera-de Franchis
varieties up to complex conjugation in dimensions $\leq 4$.
