  For any given finite subgroup $G\subset SL_3(\mathbb{C})$, we show that every
projective crepant resolution $X$ of the quotient variety $\mathbb{C}^3/G$ is
isomorphic to the moduli space of $\theta$-stable $G$-constellations for a
generic stability condition $\theta$, as conjectured by Craw and Ishii. We also
show that generators of the Cox ring of $X$ can be obtained from
semi-invariants for representations of the McKay quiver of $G$.
