Quasi-permutation representations of some finite p-groups

‎For a finite group $G$‎, ‎we denote by $p(G)$ the minimal degree of faithful permutation representations of $G$‎, ‎and denote by $q(G)$ and $c(G)$‎, ‎the minimal degree of faithful representation of $G$ by quasi-permutation matrices over the rational field $\Bbb{Q}$ and the complex field $\Bbb{C}$‎, ‎respectively‎. ‎In this paper‎, ‎we calculate $p(G)$‎, ‎$q(G)$ and $c(G)$ for the groups of order $p^5$‎, ‎where $p$ is an odd prime‎.