Incidence graph of complement of $PG(3,2)$

The incidence graph of the complementary design of $PG(3,2)$ (and the distance-3 graph of its incidence graph). It is the unique distance-transitive incidence graph of a $(15,8,4)$-design.

Number of vertices:$30$
Diameter:$3$
Intersection array:$\{8,7,4;1,4,8\}$
Spectrum:$8^1 2^{14} (-2)^{14} (-8)^1$
Automorphism group:$\mathrm{PSL}(4,2).2 \cong S_8$
Distance-transitive:Yes
Bipartite




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Last updated: 21 February 2017