Brane Configurations for Three-dimensional Nonabelian Orbifolds

We study brane configurations corresponding to D-branes on complex three-dimensional orbifolds ${\bf C}^3/\Gamma$ with $\Gamma=\Delta(3n^2)$ and $\Delta(6n^2)$, nonabelian finite subgroups of SU(3). The brane configurations consist of D3-branes and webs of (p,q) 5-branes of type IIB string theory. The structure of irreducible representations of the groups $\Delta(3n^2)$ and $\Delta(6n^2)$ can be explained from the brane configurations. We also discuss relations between the brane configurations and geometries of ${\bf C}^3/\Gamma$ by means of toric methods.