The halved graph is the Grassmann graph $J_{2}(5,2)$. Note that this is **not** the bipartite double of $J_{2}(5,2)$.

Number of vertices: | $310$ |

Diameter: | $5$ |

Intersection array: | $\{7,6,6,4,4;1,1,3,3,7\}$ |

Spectrum: | $7^1 (3 \sqrt{2})^{30} 2^{124} (-2)^{124} (-3 \sqrt{2})^{30} (-7)^1$ |

Automorphism group: | $\mathrm{PSL}(5,2):2$ |

Distance-transitive: | Yes |

Bipartite |

*Acknowledgement:* contributed by Finnegan Carroll and Mark MacLean.