PermutationGroupQ — test if a list of permutations forms a permutation group
CyclicGroup — group
of circular shift permutations
Automorphisms — group of automorphisms of a graph
MultiplicationTable — obtain a table of group multiplications
Orbits — find orbits induced by the action of the group
CycleStructure — compute cycle structure of a permutation
CycleIndex — cycle index of a group of permutations
SymmetricGroupIndex — cycle index of a symmetric group
