This is the incidence graph of the complementary design of the biplane on 11 points, and thus the distance-3 graph of its incidence graph.

Number of vertices: | $22$ |

Diameter: | $3$ |

Intersection array: | $\{6,5,3;1,3,6\}$ |

Spectrum: | $6^1 (\sqrt{3})^{10} (-\sqrt{3})^{10} (-6)^1$ |

Automorphism group: | $ PGL(2,11)$ |

Distance-transitive: | Yes |

Bipartite |

- Adjacency matrix
- Adjacency matrix in GAP format
- Adjacency matrix in CSV format
- Graph in GRAPE format