  If a finite group $G$ is isomorphic to a subgroup of $SO(3)$, then $G$ has
the D2-property. Let $X$ be a finite complex satisfying Wall's D2-conditions.
If $\pi_1(X)=G$ is finite, and $\chi(X) \geq 1-Def(G)$, then $X \vee S^2$ is
simple homotopy equivalent to a finite $2$-complex, whose simple homotopy type
depends only on $G$ and $\chi(X)$.
