I suggest to refer the following books

Non-Linear Raman Spectroscopy and Its Chemical Applications

Group Theory in Spectroscopy

I strongly recommend [1], complemented by [2].

[1] MS Dresselhaus, G Dresselhaus, and A Jorio, Group Theory: Applications to the Physics of Condensed Matter (Springer, Berlin, 2008).

[2] RC Powell, Symmetry, Group Theory, and the Physical Properties of Crystals (Springer, New York, 2010).

I suggest to refer the following books

Non-Linear Raman Spectroscopy and Its Chemical Applications

Group Theory in Spectroscopy

Dear Monidipa Pramanik,

Basic books for group theory in Raman spectroscopy

I hope the information will help you.

With Best Wishes,

Samir G. Pandya