This is a great book. However, a better book for beginners may be Zee's Group Theory in a Nutshell for Physicists. Zee's book is mathematically less rigorous and sometimes made me cringe a bit. But it has a much better overview of finite groups, which are quite important for a beginner to build intuition. It also covers Lorentz's group, which is obviously important for special relativity and quantum field theory.

This is a great book for those who are learning General Relativity but are unsatisfied with the often wrong mathematics when the author tries to be mathematically rigorous. (I have Spacetime and Geometry by Sean Carroll in mind.) There are however a few shortcomings with this book: a) errors here and there, b) lack of an official solution manual, and c) lack of explanations necessary for the physical intuition behind mathematical formalism.