# Octagonal symmetry

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Octagonal symmetry | |
---|---|

Rank | 2 |

Space | Spherical |

Order | 16 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 8 × A_{1} |

Related polytopes | |

Omnitruncate | Dioctagon |

**Octagonal symmetry**, also known as **occic symmetry** and notated as **I _{2}(8)**, is a 2D spherical Coxeter group. It is the symmetry group of the octagon, with 8 rotation and 8 reflection elements.

### Subgroups[edit | edit source]

- Chiral octagonal symmetry (maximal)
- Square symmetry (maximal)
- Chiral square symmetry
- Rectangular symmetry
- Inversion symmetry
- Reflection symmetry
- IDentity symmetry