  A conjecture in [Ish20] states that for a finite subgroup $G$ of $GL(2;
\mathbb{C})$, a resolution $Y$ of $\mathbb{C}^2/G$ is isomorphic to a moduli
space $\mathcal{M}_{\theta}$ of $G$-constellations for some generic stability
parameter $\theta$ if and only if $Y$ is dominated by the maximal resolution.
This paper affirms the conjecture in the case of dihedral groups as a class of
complex reflection groups, and offers an extension of McKay correspondence (via
[IN1], [IN2], and [Ish02]).
