$$BQ^3_{1}(Q^3_{2},Q^3_{2})\quad U=\pmatrix{1 & 2 & 3 \cr 1 & 2 & 3 \cr 2 & 1 & 3}\quad D=\pmatrix{1 & 2 & 3 \cr 1 & 2 & 3 \cr 2 & 1 & 3}\quad \hbox{order 2} \quad S, c_1 = 2, c_2 = 0$$