Character table for the Oh point group displaying the different symmetry species and symmetry operations for the spinel structure.
| O h (m3̄m) | E | 8C3 | 6C2 | 6C4 | 3C2 | i | 6S4 | 8S6 | 3σh | 6σd | (h = 48) | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x 2 + y2 + z2 | |
| A2g | 1 | 1 | −1 | −1 | 1 | 1 | −1 | 1 | 1 | −1 | ||
| Eg | 2 | −1 | 0 | 0 | 2 | 2 | 0 | −1 | 2 | 0 | (2z2 − x2 − y2, x2 − y2) | |
| T1g | 3 | 0 | −1 | 1 | −1 | 3 | 1 | 0 | −1 | −1 | (Rx, Ry, Rz) | |
| T2g | 3 | 0 | 1 | −1 | −1 | 3 | −1 | 0 | −1 | 1 | (xy,xz,yz) | |
| A1u | 1 | 1 | 1 | 1 | 1 | −1 | −1 | −1 | −1 | −1 | ||
| A2u | 1 | 1 | −1 | −1 | 1 | −1 | 1 | −1 | −1 | 1 | ||
| Eu | 2 | −1 | 0 | 0 | 2 | −2 | 0 | 1 | −2 | 0 | ||
| T1u | 3 | 0 | −1 | 1 | −1 | −3 | −1 | 0 | 1 | 1 | (x, y, z) | |
| T2u | 3 | 0 | 1 | −1 | −1 | −3 | 1 | 0 | 1 | −1 |