For A=(1)^{l_1}(2)^{l_2}…(n)^{l_n} a conjugacy class in S_n, let
Supp(A)=\\Sum_{i=1}^n i\\cdot l_i=n-l_1
Evaluation of the coefficient of the calss-sum C in the product of the class sums A and B is reduced to a combinatorial problem in S_k, where k=min{Supp(A),Supp(B),Supp(C)}