  We construct the local Hamiltonian description of the Chern-Simons theory
with discrete non-Abelian gauge group on a lattice. We show that the theory is
fully determined by the phase factors associated with gauge transformations and
classify all possible non-equivalent phase factors. We also construct the gauge
invariant electric field operators that move fluxons around and
create/anihilate them. We compute the resulting braiding properties of the
fluxons. We apply our general results to the simplest class of non-Abelian
groups, dihedral groups D_n.
