The tables also capture information about how the Cartesian basis vectors , rotations about them , and quadratic functions of them transform by the symmetry operations of the group , by noting which irreducible representation transforms in the same way .
The tables also tell the Cartesian basis vectors , rotations about them , and quadratic functions of them transformed by the symmetry operations of the group . The table also shows which irreducible representation transforms in the same way ( on the right hand side of the tables ) .