Chapter 15, Problem 15.2E

Linearly polarized light can be assigned a specific irreducible representation of a symmetry point group. If the electronic ground state of methane has $A_{1\text{g}}$ symmetry and $x\text{-}$ polarized light has the label $T_2$, what are the symmetry label(s) of allowed excited electronic states? Use the $T_{\text{d}}$ character table in Appendix 3.