Character Tables for Common Symmetry Groups - The Groups C∞v

and D∞h for Linear Molecules

C∞vE2CΦ...∞σv  
A1+11...1zx2 + y2, z2
A2-11...-1Rz 
E122cosΦ...0(x, y)(Rx, Ry)(xz, yz)
E222cos2Φ...0 (x2 - y2, xy)
E322cos3Φ...0  
...............  

D∞hE2CΦ...∞σvi2SΦ...C2  
Σg+11...111...1 x2 + y2, z2
Σg-11...-111...-1Rz 
Πg22cosΦ...02-2cosΦ...0(Rx, Ry)(xz, yz)
Δg22cos2Φ...022cosΦ...0 (x2 - y2, xy)
...........................  
Σu+11...1-1-1...-1z 
Σu-11...-1-1-1...1  
Πu22cosΦ...0-22cosΦ...0(x, y) 
Δu22cos2Φ...0-2-2cosΦ...0  
...........................  

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