LetG=SL(2,pn) withpodd. LetKGbe the group algebra ofGover an algebraically closed fieldKof characteristicp. In general, a finite dimensional basic algebra can be described by a quiver with relations. ForKG, the quiver has been known. Namely the simpleKGmodules and their extensions determine it. The aim of this paper is to get the relations and describe the basic algebra ofKGby the quiver with them.