It has degree 7, with 8 vertices and 28 edges.
It has girth 3, diameter 1 and radius 1.
Its symmetry group has 40320 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 7-arc-transitive.
Its distance-list is 1,7.
K8 is the skeleton of C7.2
K8 is the skeleton of C7.2′
K8 is the dual of K8 in the orientable surface of order 7
For copyright details of Wikipedia image see Complete_graph_K8.svg.