PerformanceGoal is an option for plotting and various other algorithmic functions that specifies what aspect of performance to try to optimize with Automatic settings for ...
PermutationCycles[perm] gives a disjoint cycle representation of permutation perm.
PermutationCyclesQ[expr] returns True if expr is a permutation in disjoint cyclic form, and False otherwise.
PermutationGroup[{perm_1, ..., perm_n}] represents the group generated by multiplication of the permutations perm_1, ..., perm_n.
PermutationLength[perm] returns the number of integers moved by the permutation perm.
PermutationList[perm] returns a permutation list representation of permutation perm.PermutationList[perm, len] returns a permutation list of length len.
PermutationListQ[expr] returns True if expr is a valid permutation list and False otherwise.
PermutationMax[perm] returns the largest integer moved by the permutation perm.
PermutationMin[perm] returns the smallest integer moved by the permutation perm.
PermutationOrder[perm] gives the order of permutation perm.