# Square antiprismatic symmetry

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Square antiprismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 16 |

**Square antiprismatic symmetry**, also known as **squappic symmetry** and notated **(I _{2}(8)×A_{1})/2**, is a 3D spherical symmetry group. It is the symmetry group of the square antiprism.

### Subgroups[edit | edit source]

- Prosquare antiprismatic symmetry (maximal)
- Chiral square prismatic symmetry (maximal)
- Square pyramidal symmetry (maximal)
- Chiral square pyramidal symmetry
- Chiral digonal prismatic symmetry
- Chiral digonal pyramidal symmetry
- Reflection symmetry
- Identity symmetry

### Convex polytopes with (I_{2}(8)×A_{1})/2 symmetry[edit | edit source]

- Square antiprism (isogonal)/Square antitegum (isotopic)
- Ditetragonal trapezoprism (isogonal)/Square scalenohedron (isotopic)