Symmetric Tops

See the following objects:
The table below shows the rovibronic symmetries for each point group that have the same statistical weight.


wt0
wt1 wt2 wt3 wt4 wt5 wt6
C3v A2 A1,A2 E
C4v A2 A1,A2 B1,B2 E
C5v A2 A1,A2 E1 E2
C6v A2 A1,A2 B1,B2 E1 E2
C7v A2 A1,A2 E1 E2 E3
C8v A2 A1,A2 B1,B2 E1 E2 E3
D3h A1" A1',A1" A2',A2" E',E"
D4h A1u A1g,A1u A2g,A2u B1g,B1u B2g,B2u Eg,Eu
D5h A1" A1',A1" A2',A2" E1',E1" E2',E2"
D6h A1u A1g,A1u A2g,A2u B1g,B1u B2g,B2u E1g,E1u E2g,E2u
D7h A1" A1',A1" A2',A2" E1',E1" E2',E2" E3',E3"
D8h A1u A1g,A1u A2g,A2u B1g,B1u B2g,B2u E1g,E1u E2g,E2u E3g,E3u
D2d B1 A1,B1,E A2,B2
D3d A1u A1g,A1u A2g,A2u Eg,Eu
D4d B1 A1,B1,E1,E2,E3 A2,B2
D5d A1u A1g,A1u A2g,A2u E1g,E1u E2g,E2u
D6d B1 A1,B1,E1,E2,E3,E4,E5 A2,B2
D7d A1u A1g,A1u A2g,A2u E1g,E1u E2g,E2u E3g,E3u
D8d B1 A1,B1,E1,E2,E3,E4,E5,E6,E7 A2,B2