Other name: rectification of the octahedron
It has degree 4, with 12 vertices and 24 edges.
It has girth 3, diameter 3 and radius 3.
Its symmetry group is S4xC2, with 24 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 1-arc-transitive.
Its distance-list is 1,4,6,1.