genus ^{c} | 5, orientable |

Schläfli formula ^{c} | {5,5} |

V / F / E ^{c} | 16 / 16 / 40 |

notes | |

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

20, each with 4 edges | |

rotational symmetry group | 80 elements. |

full symmetry group | 160 elements. |

its presentation ^{c} | < r, s, t | t^{2}, (rs)^{2}, (rt)^{2}, (st)^{2}, r^{‑5}, s^{‑5}, s^{‑1}r^{‑1}sr^{2}sr^{‑1}s^{‑1} > |

C&D number ^{c} | R5.9 |

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

List of regular maps in orientable genus 5.

Its skeleton is Clebsch graph.

Orientable | |

Non-orientable |