\section{Classification of Finite Groups of Rotations in $\mathbf{\R^3}$}

\begin{theorem}[Finite Groups of Rotations in $\mathbf{\R^3}$]
	Up to isomorphism, the finite groups of rotations in $\R^3$ are $\Z_n$, $D_n$, $A_r$, $S_4$, and $A_5$.
\end{theorem}