Modular not implies permutable

Statement
A modular subgroup of a group need not be permutable.

Facts used

 * 1) Maximal implies modular

Proof
By fact (1), it suffices to construct an example of a group with a maximal subgroup that is not permutable. Indeed, in the particular example::symmetric group:S3, the subgroup of order two generated by a transposition is maximal but not permutable.