A graph which is edge transitive but not arc transitive

A graph having 27 vertices is described, whose automorphism group is transitive on vertices and undirected edges, but not on directed edges.

[1]  W. T. Tutte.  Connectivity in graphs , 1966 .

[2]  I. Bouwer.  Vertex and Edge Transitive, but not 1-Transitive, Graphs , 1970, Canadian Mathematical Bulletin.