## Charakterentabelle für Punktgruppe D3h

(x axis coincident with C'2 axis)

D3h | E | 2C3 (z) | 3C'2 | h (xy) | 2S3 | 3v | h = 12, lineare Fkt., Rotation | quadratische Fkt. | kubische Fkt.
A'1 | +1 | +1 | +1 | +1 | +1 | +1 | - | x2+y2, z2 | x(x2-3y2)
A'2 | +1 | +1 | -1 | +1 | +1 | -1 | Rz | - | y(3x2-y2)
E' | +2 | -1 | 0 | +2 | -1 | 0 | (x, y) | (x2-y2, xy) | (xz2, yz2) [x(x2+y2), y(x2+y2)]
A''1 | +1 | +1 | +1 | -1 | -1 | -1 | - | - | -
A''2 | +1 | +1 | -1 | -1 | -1 | +1 | z | - | z3, z(x2+y2)
E'' | +2 | -1 | 0 | -2 | +1 | 0 | (Rx, Ry) | (xz, yz) | [xyz, z(x2-y2)]

Anzahl der Symmetrieelemente | h = 12
Anzahl der irreduziblen Darstellungen | n = 6
abelsche Gruppe ? | nein
Untergruppen | Cs , C2 , C3 , D3 , C2v , C3v , C3h
chiral ? | nein