GroupOrbits

GroupOrbits[group, {p1, …}] returns the orbits of the points pi under the action of the elements of group.

• GroupOrbits[group, {p1, …}, f] finds the orbits under the group action given by a function f.

Examples

GroupOrbits[SymmetricGroup[4], {1, 2, 3, 4}]

GroupOrbits[CyclicGroup[3], Range[6]]

Please visit the official Wolfram Language Reference for more details.