  We prove that any group $G$ occurs as $\E(X)$, where $X$ is CW-complex of
finite dimension and $\E(X)$ denotes its group of self-homotopy equivalence.
Thus, we generalize a well know-theorem due to Costoya and Viruel \cite{CV}
asserting that any finite group occurs as $\E(X)$, where $X$ is rational
elliptic space.
