  It is proven that for any representation over a field of characteristic 0 of
the non-abelian semidirect product of a cyclic group of prime order p and the
group of order 3 the corresponding algebra of polynomial invariants is
generated by elements of degree at most p+2. We also determine the exact degree
bound for any separating system of the polynomial invariants of any
representation of this group in characteristic not dividing 3p.
