Character Tables for Common Symmetry Groups - The Dnd

Groups

D2dE2S4C22C2'd  
A111111 x2 + y2, z2
A2111-1-1Rz 
B11-111-1 x2 - y2
B21-11-11zxy
E20-200(x, y)(Rx, Ry)(xy, yz)

D3dE2C33C2i2S6d  
A1g111111 x2 + y2, z2
A2g11-111-1Rz 
Eg2-102-10(Rx, Ry)(x2 - y2, xy)(xz, yz)
A1u111-1-1-1  
A2u11-1-1-11z 
Eu2-10-210(x, y) 

D4dE2S82C42S83C24C2'd  
A11111111 x2 + y2, z2
A211111-1-1Rz 
B11-11-111-1  
B21-11-11-11z 
E12√20-√2-200(x, y) 
E220-20200 x2 - y2
E32-√20√2-200(Rx, Ry)(xz, yz)

Reference: F.A. Cotton, "Chemical Applications of Group Theory," 3rd ed., Wiley-Interscience, NY, 1990.