Orbits of a group action
GroupOrbits[group, {p1, …}]
GroupOrbits[group, {p1, …}, f]
GroupOrbits[PermutationGroup[{}], {2, 3}]
→ {{2}, {3}}GroupOrbits[PermutationGroup[{Cycles[{{1, 2}}], Cycles[{{2, 3, 4, 5, 6}}]}], {4}]
→ {{1, 2, 3, 4, 5, 6}}GroupOrbits[PermutationGroup[{}], Range[5]]
→ {{1}, {2}, {3}, {4}, {5}}