# Square prismatic symmetry

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Square prismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 16 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 1 × BC_{2}×A_{1}, 4 × K_{2}×I |

Related polytopes | |

Omnitruncate | Ditetragonal prism |

**Square prismatic symmetry**, also known as **squippic symmetry** and notated **B _{2}×A_{1}** or

**BC**, is a 3D spherical Coxeter group. It is the symmetry group of the square prism and is a subgroup of octahedral symmetry.

_{2}×A_{1}### Subgroups[edit | edit source]

- Prosquare prismatic symmetry (maximal)
- Chiral square prismatic symmetry (miaxmal)
- Square pyramidal symmetry (maximal)
- Chiral square pyramidal symmetry
- Digonal prismatic symmetry (maximal)
- Prodigonal prismatic symmetry
- Chiral digonal prismatic symmetry
- Digonal antiprismatic symmetry (maximal)
- Prodigonal antiprismatic symmetry
- Rectangular pyramidal symmetry
- Chiral digonal pyramidal symmetry
- Inversion symmetry
- Reflection symmetry
- Identity symmetry

### Convex polytopes with B_{2}×A_{1} symmetry[edit | edit source]

- Square prism (isogonal)/Square tegum (isotopic)
- Ditetragonal prism (isogonal)/Tetrambic tegum (isotopic)