Every finite group is the group of self homotopy equivalences of an   elliptic space
  In this paper we prove that every finite group $G$ can be realized as the group of self-homotopy equivalences of infinitely many elliptic spaces $X$. Moreover, $X$ can be chosen to be the rationalization of an inflexible compact simply connected manifold. 
C. Costoya and A. Viruel
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