D_4h

E

2C₄

C₂

2C

2C

i

2S₄

s_h

2s_v

2s_d

A_1g

1

1

1

1

1

1

1

1

1

1

x²+y²,z²

A_2g

1

1

1

-1

-1

1

1

1

-1

-1

R_z

B_1g

1

-1

1

1

-1

1

-1

1

1

-1

x²-y²

B_2g

1

-1

1

-1

1

1

-1

1

-1

1

xy

E_g

2

0

-2

0

0

2

0

-2

0

0

(R_x,R_y)

(xz,yz)

A_1u

1

1

1

1

1

-1

-1

-1

-1

-1

A_2u

1

1

1

-1

-1

-1

1

-1

1

1

z

B_1u

1

-1

1

1

-1

-1

1

-1

-1

1

B_2u

1

-1

1

-1

1

-1

1

-1

1

-1

E_u

2

0

-2

0

0

-2

0

2

0

0

(x,y)