# Protriangular antiprismatic symmetry

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Protriangular antiprismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 6 |

**Protriangular antiprismatic symmetry**, also known as **protrappic symmetry** and notated as **(G _{2}+×A_{1})/2**, is a 3D spherical symmetry group. It is the symmetry of the triangular antiprism if the bases are considered to have chiral rather than full triangular symmetry.

### Subgroups[edit | edit source]

- Chiral triangular pyramidal symmetry (maximal)
- Inversion symmetry (maximal)
- Identity symmetry

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

- Triangular antiprism (isogonal)/Triangular antitegum (isotopic)