Nonaxial
C1
Cs
Ci
Cn
C2
C3
C4
C5
C6
Cnv
C2v
C3v
C4v
C5v
C6v
Cnh
C2h
C3h
C4h
C5h
C6h
Dn
D2
D3
D4
D5
D6
Dnh
D2h
D3h
D4h
D5h
D6h
Dnd
D2d
D3d
D4d
D5d
D6d
Sn
S4
S6
S8
S10
より高い
Td
Oh
Ih

C∞v
D∞h

## Oh 点群

アーベルではない, 10(20)既約表現

Oh点群用の文字テーブル
E 8C3 6C2 6C4 3C2 =(C4)2 i 6S4 8S6 h d linear,
rotations
A1g 1 1 1 1 1 1 1 1 1 1 x2+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 (xz, yz, xy)
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

Oh点群ためのProductテーブル
A1g A2g Eg T1g T2g A1u A2u Eu T1u T2u A1g A2g Eg T1g T2g A1u A2u Eu T1u T2u A2g A1g Eg T2g T1g A2u A1u Eu T2u T1u Eg Eg A1g+A2g+Eg T1g+T2g T1g+T2g Eu Eu A1u+A2u+Eu T1u+T2u T1u+T2u T1g T2g T1g+T2g A1g+Eg+T1g+T2g A2g+Eg+T1g+T2g T1u T2u T1u+T2u A1u+Eu+T1u+T2u A2u+Eu+T1u+T2u T2g T1g T1g+T2g A2g+Eg+T1g+T2g A1g+Eg+T1g+T2g T2u T1u T1u+T2u A2u+Eu+T1u+T2u A1u+Eu+T1u+T2u A1u A2u Eu T1u T2u A1g A2g Eg T1g T2g A2u A1u Eu T2u T1u A2g A1g Eg T2g T1g Eu Eu A1u+A2u+Eu T1u+T2u T1u+T2u Eg Eg A1g+A2g+Eg T1g+T2g T1g+T2g T1u T2u T1u+T2u A1u+Eu+T1u+T2u A2u+Eu+T1u+T2u T1g T2g T1g+T2g A1g+Eg+T1g+T2g A2g+Eg+T1g+T2g T2u T1u T1u+T2u A2u+Eu+T1u+T2u A1u+Eu+T1u+T2u T2g T1g T1g+T2g A2g+Eg+T1g+T2g A1g+Eg+T1g+T2g

 印刷可能なOh点群 Oh点群のための印刷可能な文字テーブル Oh点群のための印刷可能な製品テーブル