The group 
This is the group of isometries preserving a tetrahedron
Features
- Algebraic structure: it is the symmetric group on 4 elements (24 elements)
- Kind of elements
- 1 element: identity,
- 3 elements: rotation of angle pi going throught pairs of opposite edges of the tetrahedron,
- 8 elements: rotation of angle 2pi/3 or 4pi/3 with axis going throught vertices and opposite faces.
- 6 elements: symmetries containing one edge and the middle of opposite edge
- 6 elements: composition of rotation of angle pi/4 or -pi/4 and plane symmetry.
- Examples
- First Fullerene of symmetry Td
