An example of a non-abelian Brane Box Model, namely one corresponding to a
Z(k) x D-k' orbifold singularity of C-3, is constructed. Its self-consisten
cy and hence equivalence to geometrical methods are subsequently shown. It
is demonstrated how a group-theoretic twist of the non-abelian group circum
vents the problem of inconsistency that arise from naive attempts at the co
nstruction.