quasi-permutation representations of suzttki group

by a quasi-permutation matrix we mean a square matrix over the complex field c with non-negative integral trace. thus every permutation matrix over c is a quasipermutation matrix. for a given finite group g, let p(g) denote the minimal degree of a faithful permutation representation of g (or of a faithful representation of g by permutation matrices), let q(g) denote the minimal degree of a faithful representation of g by quasi-permuation matrices over the rational field q, and let c(g) be the minimal degree of a faithful representation of g by complex quasi-permuatation matrices. let r(g) denote the minimal degree of a faithful rational valued character of g. in this paper we will calculate c(g), q(g), p(g) and r(g) where g= sz(q) is the suzuki group . also we will show that lim .