| pointgroups |
forms | 4/mmm | 42m | 4mm | 422 | 4/m | 4 | 4 |
pinacoid | + | + | - | + | + | + | - |
1st order Tetragonal prism | + | + | + | + | + | + | + |
2nd order Tetragonal prism | + | + | + | + | + | + | + |
3d order Tetragonal prism | - | - | - | - | + | + | + |
DiTetragonal prism | + | + | + | + | - | - | - |
1st order Tetragonal dipyramid | + | - | - | + | + | - | - |
2nd order Tetragonal dipyramid | + | + | - | + | + | - | - |
3d order Tetragonal dipyramid | - | - | - | - | + | - | - |
DiTetragonal dipyramid | + | - | - | - | - | - | - |
Pedion | - | - | + | - | - | - | + |
1st order Tetragonal pyramid | - | - | + | - | - | - | + |
2nd order Tetragonal pyramid | - | - | + | - | - | - | + |
3d order Tetragonal pyramid | - | - | - | - | - | - | + |
DiTetragonal pyramid | - | - | + | - | - | - | - |
Tetragonal trapezohedron | - | - | - | + | - | - | - |
1st order Tetragonal disphenoid | - | + | - | - | - | + | - |
2nd order Tetragonal disphenoid | - | - | - | - | - | + | - |
3d order Tetragonal disphenoid | - | - | - | - | - | + | - |
Tetragonal scalenohedron | - | + | - | - | - | - | - |