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D2H - POINT GROUP SYMMETRY CHARACTER TABLES


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
Higher
Td
Oh
Ih
Linear
C∞v
D∞h

D2h Point Group

Abelian, 8 irreducible representations
Subgroups of D2h point group: Cs, Ci, C2, C2v, C2h

Character table for D2h point group
E C2 (z) C2 (y) C2 (x) i σ (xy) σ (xz) σ (yz)
linear,
rotations
quadratic
Ag 1 1 1 1 1 1 1 1 x2, y2, z2
B1g 1 1 -1 -1 1 1 -1 -1 Rz xy
B2g 1 -1 1 -1 1 -1 1 -1 Ry xz
B3g 1 -1 -1 1 1 -1 -1 1 Rx yz
Au 1 1 1 1 -1 -1 -1 -1
B1u 1 1 -1 -1 -1 -1 1 1 z
B2u 1 -1 1 -1 -1 1 -1 1 y
B3u 1 -1 -1 1 -1 1 1 -1 x

Product table for D2h point group
 AgB1gB2gB3gAuB1uB2uB3u
AgAgB1gB2gB3gAuB1uB2uB3u
B1gB1gAgB3gB2gB1uAuB3uB2u
B2gB2gB3gAgB1gB2uB3uAuB1u
B3gB3gB2gB1gAgB3uB2uB1uAu
AuAuB1uB2uB3uAgB1gB2gB3g
B1uB1uAuB3uB2uB1gAgB3gB2g
B2uB2uB3uAuB1uB2gB3gAgB1g
B3uB3uB2uB1uAuB3gB2gB1gAg

Printable D2h point group
Printable character table for D2h point group
Printable product table for D2h point group

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