The symmetry of the first excited state of one of the normal modes in NH3 is E. Based on the character table for the C3v point group given below, the symmetry of the second excited state for this mode in terms of the irreducible representations is
| C3v | E | 2C3 | 3σv |
| A1 | 1 | 1 | 1 |
| A2 | 1 | 1 | -1 |
| E | 2 | -1 | 0 |
1
2A2 + E
2
2A1 + E
3
A1 + A2 + E
4
2A1 + 2A2