  We provide a characterization of quotients of three-dimensional complex tori
by finite groups that act freely in codimension one via a vanishing condition
on the first and second orbifold Chern class. We also treat the case of actions
free in codimension two, using instead the "birational" second Chern class, as
we call it. Both notions of Chern classes are introduced here in the setting of
compact complex spaces with klt singularities. In such generality, this topic
has not been treated in the literature up to now. We also discuss the relation
of our definitions to the classical Schwartz-MacPherson Chern classes.
