genus ^{c} | 10, orientable |

Schläfli formula ^{c} | {4,7} |

V / F / E ^{c} | 24 / 42 / 84 |

notes | |

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

21, each with 8 edges56, each with 3 edges21, each with 8 edges24, each with 7 edges28, each with 6 edges | |

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

full symmetry group | 336 elements. |

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

C&D number ^{c} | R10.9 |

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

It can be derived by stellation (with path <>/3) from

List of regular maps in orientable genus 10.

Orientable | |

Non-orientable |