We study D-branes on a three complex dimensional nonabelian orbifold ³/Γ with Γ a finite subgroup of SU(3). We present general formulae necessary to obtain quiver diagrams which represent the gauge group and the spectrum of the D-brane worldvolume theory for dihedral-like subgroups Δ(3n²) and Δ(6n²). It is found that the quiver diagrams have a similar structure to webs of branes.