$\text{Soicher's } 3^{\text{nd}}\text{ graph}\cong 2^{\text{nd}}\text{subconstituent of Soicher's Second graph}\cong \text{Antipodal 3-cover of Goethals-Seidel graph}$

Number of vertices:$315$
Diameter:$4$
Intersection array:$\{32,27,8,1;1,4,27,32\}$
Spectrum:$32^1 8^{70} 2^{84} (-4)^{140} (-10)^{20}$
Automorphism group:$(3 \times PSL(3,4)):2^2$
Distance-transitive:$\text{No}$
Antipodal




$\text{Downloads}$

References

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Last updated: 4 April 2019