Title: Effective computation of $\mathrm{SO}(3)$ and $\mathrm{O}(3)$ linear representations symmetry classes,
Abstract: We propose a general algorithm to compute all the symmetry classes of any
$\mathrm{SO}(3)$ or $\mathrm{O}(3)$ linear representation. This method relies
on the introduction of a binary operator between sets of conjugacy classes of
closed subgroups, called the clips. We compute explicit tables for this
operation which allows to solve definitively the problem.