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For most of the finite subgroups of 
$\text{SL(3,}\,\text{C)}$ we give explicit formulae for the Molien series of the coinvariant algebras, generalizing McKay's formulae 
$\text{ }\!\![\!\!\text{ McKay99 }\!\!]\!\!\text{ }$ for subgroups of 
$\text{SU(2)}$. We also study the 
$G $-orbit Hilbert scheme
$\text{Hil}{{\text{b}}^{G}}({{\mathbf{C}}^{3}})$
for any finite subgroup $G $ of 
$\text{SO(3)}$, which is known to be a minimal (crepant) resolution of the orbit space
${{\mathbf{C}}^{3}}/G$
. In this case the fiber over the origin of the Hilbert-Chow morphism from
$\text{Hil}{{\text{b}}^{G}}({{\mathbf{C}}^{3}})$ to
${{\mathbf{C}}^{3}}/G$ consists of finitely many smooth rational curves, whose planar dual graph is identified with a certain subgraph of the representation graph of $G $. This is an $\text{SO(3)}$ version of the McKay correspondence in the $\text{SU(2)}$ case.
