genus ^{c} | 19, orientable |

Schläfli formula ^{c} | {7,7} |

V / F / E ^{c} | 24 / 24 / 84 |

notes | |

vertex, face multiplicity ^{c} | 1, 1 |

28, each with 6 edges42, each with 4 edges21, each with 8 edges56, each with 3 edges21, each with 8 edges | |

rotational symmetry group | PSL(3,2) , with 168 elements |

full symmetry group | 336 elements. |

its presentation ^{c} | < r, s, t | t^{2}, (rs)^{2}, (rt)^{2}, (st)^{2}, r^{‑7}, (rs^{‑1})^{4}, s^{‑7}, (r^{‑2}s)^{3} > |

C&D number ^{c} | R19.23 |

The statistics marked ^{c} are from the published work of Professor Marston Conder. |

It is self-dual.

Its Petrie dual is

It can be 2-split to give

It can be rectified to give

It can be derived by stellation (with path <>/2) from

It can be derived by stellation (with path <1,-1>) from

It can be derived by stellation (with path <2,-2>) from

List of regular maps in orientable genus 19.

Orientable | |

Non-orientable |