## Charakterentabelle für Punktgruppe S6

=exp(2i/3)

S6 | E | C3(z) | (C3)2 | i | (S6)5 | S6 | h = 6, lineare Fkt., Rotation | quadratische Fkt. | kubische Fkt.
Ag | +1 | +1 | +1 | +1 | +1 | +1 | Rz | x2+y2, z2 | -
Eg | +1 +1 | + +* | +* + | +1 +1 | + +* | +* + | Rx+iRy Rx-iRy | (x2-y2, xy) (xz, yz) | -
Au | +1 | +1 | +1 | -1 | -1 | -1 | z | - | z3, y(3x2-y2), x(x2-3y2), z(x2+y2)
Eu | +1 +1 | + +* | +* + | -1 -1 | - -* | -* - | x+iy x-iy | - | (xz2, yz2) [xyz, z(x2-y2)] [x(x2+y2), y(x2+y2)]

Anzahl der Symmetrieelemente | h = 6
Anzahl der irreduziblen Darstellungen | n = 6
Anzahl der reellen Irreduziblen Darstellungen | n = 4
abelsche Gruppe? | ja
Untergruppen | Ci , C3
chiral ? | nein