It has degree 5, with 12 vertices and 30 edges.
It has girth 4, diameter 3 and radius 3.
Its symmetry group has 1440 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 11-arc-transitive.
K6 × K2 can be regarded as K6 × K2
K6 × K2 is the skeleton of S4:{4,5} with muliplicity 2