  A map $X$ on a surface is called vertex-transitive if the automorphism group
of $X$ acts transitively on the set of vertices of $X$. If the face-cycles at
all the vertices in a map are of same type then the map is called
semi-equivelar. In general, semi-equivelar maps on a surface form a bigger
class than vertex-transitive maps. There are semi-equivelar toroidal maps which
are not vertex-transitive. In this article, we show that semi-equivelar
toroidal maps are quotients of vertex-transitive toroidal maps. More
explicitly, we prove that each semi-equivelar toroidal map has a finite
vertex-transitive cover. In 2019, Drach {\em et al.} have shown that each
vertex-transitive toroidal map has a minimal almost regular cover. Therefore,
semi-equivelar toroidal maps are quotients of almost regular toroidal maps.

Combinatorics;Geometric Topology