CayleyGraph
CayleyGraph[group] returns a Cayley graph representation of a group.
Examples
Create the Cayley graph of a symmetric group:
CayleyGraph[SymmetricGroup[3]]
(* Graph[...] *)Cayley graph of a dihedral group:
CayleyGraph[DihedralGroup[4]]
(* Graph[...] *)Please visit the official Wolfram Language Reference for more details.