Let Γ be a representation for a group of group order h, then sum_R Γ_i (R)_(m n) (Γ_j (R)_(m' n'))^* = h/sqrt(l_i l_j) δ_(i j) δ_(m m') δ_(n n'). The proof is nontrivial and may be found in Eyring et al. (1944).
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