Group	D25d 
n	28

     	Irred     	Operation
   1 	 A1g        	 E         
   2 	 A2g        	 C25       
   3 	 E1g        	 C25^2     
   4 	 E2g        	 C25^3     
   5 	 E3g        	 C25^4     
   6 	 E4g        	 C5        
   7 	 E5g        	 C25^6     
   8 	 E6g        	 C25^7     
   9 	 E7g        	 C25^8     
  10 	 E8g        	 C25^9     
  11 	 E9g        	 C5^2      
  12 	 E10g       	 C25^11    
  13 	 E11g       	 C25^12    
  14 	 E12g       	 C2'       
  15 	 A1u        	 i         
  16 	 A2u        	 S50       
  17 	 E1u        	 S50^3     
  18 	 E2u        	 S10       
  19 	 E3u        	 S50^7     
  20 	 E4u        	 S50^9     
  21 	 E5u        	 S50^11    
  22 	 E6u        	 S50^13    
  23 	 E7u        	 S10^3     
  24 	 E8u        	 S50^17    
  25 	 E9u        	 S50^19    
  26 	 E10u       	 S50^21    
  27 	 E11u       	 S50^23    
  28 	 E12u       	 sd        

Table
         1         2         3         4         5         6         7         8         9         10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27        28     
   1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  
   2   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  
   3   2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423   0.00000   2.00000  -1.98423  -1.85955  -1.61803  -1.27485  -0.85156  -0.37476   0.12558   0.61803   1.07165   1.45794   1.75261   1.93717   0.00000  
   4   2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717   0.00000   2.00000   1.93717   1.45794   0.61803  -0.37476  -1.27485  -1.85955  -1.98423  -1.61803  -0.85156   0.12558   1.07165   1.75261   0.00000  
   5   2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955   0.00000   2.00000  -1.85955  -0.85156   0.61803   1.75261   1.93717   1.07165  -0.37476  -1.61803  -1.98423  -1.27485   0.12558   1.45794   0.00000  
   6   2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261   0.00000   2.00000   1.75261   0.12558  -1.61803  -1.85955  -0.37476   1.45794   1.93717   0.61803  -1.27485  -1.98423  -0.85156   1.07165   0.00000  
   7   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803   0.00000   2.00000  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   0.00000  
   8   2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794   0.00000   2.00000   1.45794  -1.27485  -1.61803   1.07165   1.75261  -0.85156  -1.85955   0.61803   1.93717  -0.37476  -1.98423   0.12558   0.00000  
   9   2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485   0.00000   2.00000  -1.27485   1.75261   0.61803  -1.98423   0.12558   1.93717  -0.85156  -1.61803   1.45794   1.07165  -1.85955  -0.37476   0.00000  
  10   2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165   0.00000   2.00000   1.07165  -1.98423   0.61803   1.45794  -1.85955   0.12558   1.75261  -1.61803  -0.37476   1.93717  -1.27485  -0.85156   0.00000  
  11   2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156   0.00000   2.00000  -0.85156   1.93717  -1.61803   0.12558   1.45794  -1.98423   1.07165   0.61803  -1.85955   1.75261  -0.37476  -1.27485   0.00000  
  12   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.00000   2.00000   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   0.00000  
  13   2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476   0.00000   2.00000  -0.37476   1.07165  -1.61803   1.93717  -1.98423   1.75261  -1.27485   0.61803   0.12558  -0.85156   1.45794  -1.85955   0.00000  
  14   2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558   0.00000   2.00000   0.12558  -0.37476   0.61803  -0.85156   1.07165  -1.27485   1.45794  -1.61803   1.75261  -1.85955   1.93717  -1.98423   0.00000  
  15   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  
  16   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000  -1.00000   1.00000  
  17   2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423   0.00000  -2.00000   1.98423   1.85955   1.61803   1.27485   0.85156   0.37476  -0.12558  -0.61803  -1.07165  -1.45794  -1.75261  -1.93717   0.00000  
  18   2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717   0.00000  -2.00000  -1.93717  -1.45794  -0.61803   0.37476   1.27485   1.85955   1.98423   1.61803   0.85156  -0.12558  -1.07165  -1.75261   0.00000  
  19   2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955   0.00000  -2.00000   1.85955   0.85156  -0.61803  -1.75261  -1.93717  -1.07165   0.37476   1.61803   1.98423   1.27485  -0.12558  -1.45794   0.00000  
  20   2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261   0.00000  -2.00000  -1.75261  -0.12558   1.61803   1.85955   0.37476  -1.45794  -1.93717  -0.61803   1.27485   1.98423   0.85156  -1.07165   0.00000  
  21   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803   0.00000  -2.00000   1.61803  -0.61803  -2.00000  -0.61803   1.61803   1.61803  -0.61803  -2.00000  -0.61803   1.61803   1.61803  -0.61803   0.00000  
  22   2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794   0.00000  -2.00000  -1.45794   1.27485   1.61803  -1.07165  -1.75261   0.85156   1.85955  -0.61803  -1.93717   0.37476   1.98423  -0.12558   0.00000  
  23   2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485   0.00000  -2.00000   1.27485  -1.75261  -0.61803   1.98423  -0.12558  -1.93717   0.85156   1.61803  -1.45794  -1.07165   1.85955   0.37476   0.00000  
  24   2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165   0.00000  -2.00000  -1.07165   1.98423  -0.61803  -1.45794   1.85955  -0.12558  -1.75261   1.61803   0.37476  -1.93717   1.27485   0.85156   0.00000  
  25   2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156   0.00000  -2.00000   0.85156  -1.93717   1.61803  -0.12558  -1.45794   1.98423  -1.07165  -0.61803   1.85955  -1.75261   0.37476   1.27485   0.00000  
  26   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.00000  -2.00000  -0.61803   1.61803  -2.00000   1.61803  -0.61803  -0.61803   1.61803  -2.00000   1.61803  -0.61803  -0.61803   1.61803   0.00000  
  27   2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476   0.00000  -2.00000   0.37476  -1.07165   1.61803  -1.93717   1.98423  -1.75261   1.27485  -0.61803  -0.12558   0.85156  -1.45794   1.85955   0.00000  
  28   2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558   0.00000  -2.00000  -0.12558   0.37476  -0.61803   0.85156  -1.07165   1.27485  -1.45794   1.61803  -1.75261   1.85955  -1.93717   1.98423   0.00000