Hexagonal prismatic symmetry
(Redirected from G2×A1)
| Hexagonal prismatic symmetry | |
|---|---|
| Rank | 3 |
| Space | Spherical |
| Order | 24 |
| Info | |
| Coxeter diagram |    |
| Elements | |
| Axes | 1 × G2×A1, 6 × K2×I |
| Related polytopes | |
| Omnitruncate | Dihexagonal prism |
Hexagonal prismatic symmetry, also known as hippic symmetry and notated as G2×A1, is a 3D spherical Coxeter group. It is the symmetry group of the hexagonal prism.
Subgroups[edit | edit source]
- Prohexagonal prismatic symmetry (maximal)
- Chiral hexagonal prismatic symmetry (maximal)
- Hexagonal pyramidal symmetry (maximal)
- Chiral hexagonal pyramidal symmetry
- Triangular prismatic symmetry (maximal)
- Protriangular prismatic symmetry
- Triangular antiprismatic symmetry (maximal)
- Protriangular antiprismatic symmetry
- Chiral triangular prismatic symmetry
- Triangular pyramidal symmetry
- Chiral triangular pyramidal symmetry
- Digonal prismatic symmetry (maximal)
- Prodigonal prismatic symmetry
- Chiral digonal prismatic symmetry
- Rectangular pyramidal symmetry
- Chiral digonal pyramidal symmetry
- Inversion symmetry
- Reflection symmetry
- Identity symmetry
Convex polytopes with G2×A1 symmetry[edit | edit source]
- Hexagonal prism (isogonal)/Hexagonal tegum (isotopic)
- Dihexagonal prism (isogonal)/Hexambic tegum (isotopic)