Symmetry classes of surjective mappings

The first group of programs is an application of the Cauchy-Frobenius Lemma to group actions on the domain, the range and both on the domain and range of surjective functions. For each permutation of the acting group the cycle type is evaluated, for that reason the programs are rather slow. Applying the Cauchy Frobenius Lemma which uses conjugacy classes of the acting group, makes the programs much faster.