This gives rise to a class of examples of finite groups with Gelfand pairs: the 2-transitive groups. A permutation group "G" is 2-transitive if the stabilizer "K" of a point acts transitively on the remaining points. In particular, "G" the symmetric group on "n"+1 points and "K" the symmetric group on "n" points forms a Gelfand pair for every "n"≥1. This follows because the character of a 2-transitive permutation action is of the form 1+"χ" for some irreducible character "χ" and the trivial character 1, .