PairGroupIndex[g,x]

returns the cycle index of the pair group induced by as a polynomial in , x[2], ….

PairGroupIndex[ci,x]

takes the cycle index ci of a group with formal variables , x[2], …, and returns the cycle index of the pair group induced by .

PairGroupIndex[g,x,Ordered]

returns the cycle index of the ordered pair group induced by as a polynomial in , x[2], ….

PairGroupIndex[ci,x,Ordered]

takes the cycle index ci of a group with formal variables , x[2], …, and returns the cycle index of the ordered pair group induced by .