genus ^{c} | 12, orientable |

Schläfli formula ^{c} | {15,4} |

V / F / E ^{c} | 30 / 8 / 60 |

notes | |

vertex, face multiplicity ^{c} | 1, 5 |

4, each with 30 edges | |

rotational symmetry group | 120 elements. |

full symmetry group | 240 elements. |

its presentation ^{c} | < r, s, t | t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, (sr^{‑2})^{2}, r^{‑15} > |

C&D number ^{c} | R12.1′ |

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

Its Petrie dual is

It can be 2-split to give

It can be 4-split to give

It can be built by 5-splitting

List of regular maps in orientable genus 12.

Orientable | |

Non-orientable |