C5h Character Table

C5h E C5 C52 C53 C54 σh S5 S57 S53 S59 Linear
Functions		 Quadratic
Functions
A' 1 1 1 1 1 1 1 1 1 1 Rz x2 + y2, z2
E1' 1 ε ε2 ε2* ε* 1 ε ε2 ε2* ε* (x,y)  
1 ε* ε2* ε2 ε 1 ε* ε2* ε2 ε
E2' 1 ε2 ε* ε ε2* 1 ε2 ε* ε ε2*   (x2 - y2,xy)
1 ε2* ε ε* ε2 1 ε2* ε ε* ε2
A" 1 1 1 1 1 -1 -1 -1 -1 -1 z  
E1" 1 ε ε2 ε2* ε* -1 -ε -ε2 -ε2* -ε* (Rx,Ry) (xz,yz)
1 ε* ε2* ε2 ε -1 -ε* -ε2* -ε2 -ε
E2" 1 ε2 ε* ε ε2* -1 -ε2 -ε* -ε -ε2*    
1 ε2* ε ε* ε2 -1 -ε2* -ε -ε* -ε2

ε = e(2πi)/5, ε* = e(2π-i)/5
i = -1½


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