Mapping degrees between homotopy space forms

Let $\mathcal G$ be the family of periodic groups of period either $2$ or $4$, and $\bar\Sigma^m$ be a homotopy $m$-space form where $\pi_1(\bar\Sigma^m)\in \mathcal G$. For $m=3$, we study the set $D(\bar\Sigma_1^m, \bar\Sigma_2^m)$ of degrees of the maps from $\bar\Sigma_1^m$ to $\bar\Sigma_2^m$.