The character table for a particular point group is given below. The characters in the irreducible representations Γ4 and Γ5, respectively, are
| E | 2 R̂1 | R̂2 | 2R̂3 | 2R̂4 | |
| Γ1 | 1 | 1 | 1 | 1 | 1 |
| Γ2 | 1 | 1 | 1 | -1 | -1 |
| Γ3 | 1 | -1 | 1 | -1 | 1 |
| Γ4 | |||||
| Γ5 |
1
{1, 1, -1, 1, -1} and {2, -2, 1, 0, 0}
2
{1, -1, 1, 1, -1} and {2, 0, -2, 0, 0}
3
{1, 2, 0, -2, 1} and {1, 1, 1, 1, -1}
4
{2, 0, -2, 0, 0} and {2, 1, -1, 1, -1}