My presentation will explore the application of group theory to understand the symmetry of chemical molecules by associating them to appropriate point groups. We can then look at the character tables of these point groups and see how they encode important symmetrical properties. Utilizing group representation theory, we can see where these characters in the character tables come from and how they provide insight into molecular vibrations and electronic orbitals. It can also be shown how tools like Infrared and Raman spectroscopy rely on these insights. In my talk, I will show a few specific examples of molecules and their associated point groups to illustrate.