genus ^{c} | 6, orientable |

Schläfli formula ^{c} | {6,8} |

V / F / E ^{c} | 6 / 8 / 24 |

notes | |

vertex, face multiplicity ^{c} | 2, 2 |

4, each with 12 edges6, each with 8 edges6, each with 8 edges16, each with 3 edges4, each with 12 edges24, each with 2 edges | |

rotational symmetry group | 48 elements. |

full symmetry group | 96 elements. |

its presentation ^{c} | < r, s, t | t^{2}, (rs)^{2}, (rt)^{2}, (st)^{2}, r^{6}, (rs^{‑1}r)^{2}, s^{‑1}r^{‑3}s^{‑3} > |

C&D number ^{c} | R6.8 |

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

Its dual is _{12}

Its Petrie dual is

It can be 5-split to give

It can be 7-split to give

It can be 11-split to give

Its 3-hole derivative is

List of regular maps in orientable genus 6.

Orientable | |

Non-orientable |