## Charakterentabelle für Punktgruppe O

O | E | 8C3 | 6C'2 | 6C4 | 3C2 =(C4)2 | h = 24, lineare Fkt., Rotation | quadratische Fkt. | kubische Fkt.
A1 | +1 | +1 | +1 | +1 | +1 | - | x2+y2+z2 | -
A2 | +1 | +1 | -1 | -1 | +1 | - | - | xyz
E | +2 | -1 | 0 | 0 | +2 | - | (x2-y2, 2z2-x2-y2) | -
T1 | +3 | 0 | -1 | +1 | -1 | (x, y, z) (Rx, Ry, Rz) | - | (x3, y3, z3) [x(z2+y2), y(z2+x2), z(x2+y2)]
T2 | +3 | 0 | +1 | -1 | -1 | - | (xy, xz, yz) | [x(z2-y2), y(z2-x2), z(x2-y2)]

Anzahl der Symmetrieelemente | h = 24
Anzahl der irreduziblen Darstellungen | n = 5
abelsche Gruppe ? | nein
chiral ? | ja