# Finding all unitary representations of the connected Poincaré group

I am studying representation theory of Lie groups and its combination to theoretical physics, and I am concerned about the following. Is there an exhaustive way to find all unitary representations of the connected Poincaré Group $$SO(1,3)_e\ltimes\mathbb{R}^4$$. I am thinking that Mackey Theory that do the trick, but is anyone familiar with other options?