Toroidal Orbifolds a la Vafa-Witten

We classify orbifolds obtained by taking the quotient of a three tori by abelian extensions of Z/n x Z/n automorphisms, where each torus has a multiplicative Z/n action (n=3,4 or 6). This 'completes' the classification of orbifolds of the above type initiated by Donagi and Faraggi (hep-th/0403272) and, Donagi and Wendland in the cases n=2.