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\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}