Table 4 Character table of the symmetry group C2h.

From: QM-sym, a symmetrized quantum chemistry database of 135 kilo molecules

C 2h E C 2 i σ h linear
A g 1 1 1 1 R z
B g 1 −1 1 −1 R x , R y
A u 1 1 −1 −1 z
B u 1 −1 −1 1 x, y
  1. It could be observed that x and y polarized light would be yielded by the symmetry operation Bu and that z polarized light would be yielded by Au.