Group	D27d 
n	30

     	Irred     	Operation
   1 	 A1g        	 E         
   2 	 A2g        	 C27       
   3 	 E1g        	 C27^2     
   4 	 E2g        	 C9        
   5 	 E3g        	 C27^4     
   6 	 E4g        	 C27^5     
   7 	 E5g        	 C9^2      
   8 	 E6g        	 C27^7     
   9 	 E7g        	 C27^8     
  10 	 E8g        	 C3        
  11 	 E9g        	 C27^10    
  12 	 E10g       	 C27^11    
  13 	 E11g       	 C9^4      
  14 	 E12g       	 C27^13    
  15 	 E13g       	 C2'       
  16 	 A1u        	 i         
  17 	 A2u        	 S54       
  18 	 E1u        	 S18       
  19 	 E2u        	 S54^5     
  20 	 E3u        	 S54^7     
  21 	 E4u        	 S6        
  22 	 E5u        	 S54^11    
  23 	 E6u        	 S54^13    
  24 	 E7u        	 S18^5     
  25 	 E8u        	 S54^17    
  26 	 E9u        	 S54^19    
  27 	 E10u       	 S18^7     
  28 	 E11u       	 S54^23    
  29 	 E12u       	 S54^25    
  30 	 E13u       	 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        29        30     
   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   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   1.00000  -1.00000  
   3   2.00000   1.94609   1.78727   1.53209   1.19432   0.79216   0.34730  -0.11629  -0.57361  -1.00000  -1.37248  -1.67098  -1.87939  -1.98648   0.00000   2.00000  -1.98648  -1.87939  -1.67098  -1.37248  -1.00000  -0.57361  -0.11629   0.34730   0.79216   1.19432   1.53209   1.78727   1.94609   0.00000  
   4   2.00000   1.78727   1.19432   0.34730  -0.57361  -1.37248  -1.87939  -1.98648  -1.67098  -1.00000  -0.11629   0.79216   1.53209   1.94609   0.00000   2.00000   1.94609   1.53209   0.79216  -0.11629  -1.00000  -1.67098  -1.98648  -1.87939  -1.37248  -0.57361   0.34730   1.19432   1.78727   0.00000  
   5   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939   0.00000   2.00000  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   0.00000  
   6   2.00000   1.19432  -0.57361  -1.87939  -1.67098  -0.11629   1.53209   1.94609   0.79216  -1.00000  -1.98648  -1.37248   0.34730   1.78727   0.00000   2.00000   1.78727   0.34730  -1.37248  -1.98648  -1.00000   0.79216   1.94609   1.53209  -0.11629  -1.67098  -1.87939  -0.57361   1.19432   0.00000  
   7   2.00000   0.79216  -1.37248  -1.87939  -0.11629   1.78727   1.53209  -0.57361  -1.98648  -1.00000   1.19432   1.94609   0.34730  -1.67098   0.00000   2.00000  -1.67098   0.34730   1.94609   1.19432  -1.00000  -1.98648  -0.57361   1.53209   1.78727  -0.11629  -1.87939  -1.37248   0.79216   0.00000  
   8   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   0.00000   2.00000   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   0.00000  
   9   2.00000  -0.11629  -1.98648   0.34730   1.94609  -0.57361  -1.87939   0.79216   1.78727  -1.00000  -1.67098   1.19432   1.53209  -1.37248   0.00000   2.00000  -1.37248   1.53209   1.19432  -1.67098  -1.00000   1.78727   0.79216  -1.87939  -0.57361   1.94609   0.34730  -1.98648  -0.11629   0.00000  
  10   2.00000  -0.57361  -1.67098   1.53209   0.79216  -1.98648   0.34730   1.78727  -1.37248  -1.00000   1.94609  -0.11629  -1.87939   1.19432   0.00000   2.00000   1.19432  -1.87939  -0.11629   1.94609  -1.00000  -1.37248   1.78727   0.34730  -1.98648   0.79216   1.53209  -1.67098  -0.57361   0.00000  
  11   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000   0.00000   2.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   0.00000  
  12   2.00000  -1.37248  -0.11629   1.53209  -1.98648   1.19432   0.34730  -1.67098   1.94609  -1.00000  -0.57361   1.78727  -1.87939   0.79216   0.00000   2.00000   0.79216  -1.87939   1.78727  -0.57361  -1.00000   1.94609  -1.67098   0.34730   1.19432  -1.98648   1.53209  -0.11629  -1.37248   0.00000  
  13   2.00000  -1.67098   0.79216   0.34730  -1.37248   1.94609  -1.87939   1.19432  -0.11629  -1.00000   1.78727  -1.98648   1.53209  -0.57361   0.00000   2.00000  -0.57361   1.53209  -1.98648   1.78727  -1.00000  -0.11629   1.19432  -1.87939   1.94609  -1.37248   0.34730   0.79216  -1.67098   0.00000  
  14   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.00000   2.00000   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   0.00000  
  15   2.00000  -1.98648   1.94609  -1.87939   1.78727  -1.67098   1.53209  -1.37248   1.19432  -1.00000   0.79216  -0.57361   0.34730  -0.11629   0.00000   2.00000  -0.11629   0.34730  -0.57361   0.79216  -1.00000   1.19432  -1.37248   1.53209  -1.67098   1.78727  -1.87939   1.94609  -1.98648   0.00000  
  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  -1.00000  -1.00000  
  17   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  -1.00000   1.00000  
  18   2.00000   1.94609   1.78727   1.53209   1.19432   0.79216   0.34730  -0.11629  -0.57361  -1.00000  -1.37248  -1.67098  -1.87939  -1.98648   0.00000  -2.00000   1.98648   1.87939   1.67098   1.37248   1.00000   0.57361   0.11629  -0.34730  -0.79216  -1.19432  -1.53209  -1.78727  -1.94609   0.00000  
  19   2.00000   1.78727   1.19432   0.34730  -0.57361  -1.37248  -1.87939  -1.98648  -1.67098  -1.00000  -0.11629   0.79216   1.53209   1.94609   0.00000  -2.00000  -1.94609  -1.53209  -0.79216   0.11629   1.00000   1.67098   1.98648   1.87939   1.37248   0.57361  -0.34730  -1.19432  -1.78727   0.00000  
  20   2.00000   1.53209   0.34730  -1.00000  -1.87939  -1.87939  -1.00000   0.34730   1.53209   2.00000   1.53209   0.34730  -1.00000  -1.87939   0.00000  -2.00000   1.87939   1.00000  -0.34730  -1.53209  -2.00000  -1.53209  -0.34730   1.00000   1.87939   1.87939   1.00000  -0.34730  -1.53209   0.00000  
  21   2.00000   1.19432  -0.57361  -1.87939  -1.67098  -0.11629   1.53209   1.94609   0.79216  -1.00000  -1.98648  -1.37248   0.34730   1.78727   0.00000  -2.00000  -1.78727  -0.34730   1.37248   1.98648   1.00000  -0.79216  -1.94609  -1.53209   0.11629   1.67098   1.87939   0.57361  -1.19432   0.00000  
  22   2.00000   0.79216  -1.37248  -1.87939  -0.11629   1.78727   1.53209  -0.57361  -1.98648  -1.00000   1.19432   1.94609   0.34730  -1.67098   0.00000  -2.00000   1.67098  -0.34730  -1.94609  -1.19432   1.00000   1.98648   0.57361  -1.53209  -1.78727   0.11629   1.87939   1.37248  -0.79216   0.00000  
  23   2.00000   0.34730  -1.87939  -1.00000   1.53209   1.53209  -1.00000  -1.87939   0.34730   2.00000   0.34730  -1.87939  -1.00000   1.53209   0.00000  -2.00000  -1.53209   1.00000   1.87939  -0.34730  -2.00000  -0.34730   1.87939   1.00000  -1.53209  -1.53209   1.00000   1.87939  -0.34730   0.00000  
  24   2.00000  -0.11629  -1.98648   0.34730   1.94609  -0.57361  -1.87939   0.79216   1.78727  -1.00000  -1.67098   1.19432   1.53209  -1.37248   0.00000  -2.00000   1.37248  -1.53209  -1.19432   1.67098   1.00000  -1.78727  -0.79216   1.87939   0.57361  -1.94609  -0.34730   1.98648   0.11629   0.00000  
  25   2.00000  -0.57361  -1.67098   1.53209   0.79216  -1.98648   0.34730   1.78727  -1.37248  -1.00000   1.94609  -0.11629  -1.87939   1.19432   0.00000  -2.00000  -1.19432   1.87939   0.11629  -1.94609   1.00000   1.37248  -1.78727  -0.34730   1.98648  -0.79216  -1.53209   1.67098   0.57361   0.00000  
  26   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000   0.00000  -2.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000  -2.00000   1.00000   1.00000   0.00000  
  27   2.00000  -1.37248  -0.11629   1.53209  -1.98648   1.19432   0.34730  -1.67098   1.94609  -1.00000  -0.57361   1.78727  -1.87939   0.79216   0.00000  -2.00000  -0.79216   1.87939  -1.78727   0.57361   1.00000  -1.94609   1.67098  -0.34730  -1.19432   1.98648  -1.53209   0.11629   1.37248   0.00000  
  28   2.00000  -1.67098   0.79216   0.34730  -1.37248   1.94609  -1.87939   1.19432  -0.11629  -1.00000   1.78727  -1.98648   1.53209  -0.57361   0.00000  -2.00000   0.57361  -1.53209   1.98648  -1.78727   1.00000   0.11629  -1.19432   1.87939  -1.94609   1.37248  -0.34730  -0.79216   1.67098   0.00000  
  29   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.34730  -1.00000   1.53209  -1.87939   2.00000  -1.87939   1.53209  -1.00000   0.34730   0.00000  -2.00000  -0.34730   1.00000  -1.53209   1.87939  -2.00000   1.87939  -1.53209   1.00000  -0.34730  -0.34730   1.00000  -1.53209   1.87939   0.00000  
  30   2.00000  -1.98648   1.94609  -1.87939   1.78727  -1.67098   1.53209  -1.37248   1.19432  -1.00000   0.79216  -0.57361   0.34730  -0.11629   0.00000  -2.00000   0.11629  -0.34730   0.57361  -0.79216   1.00000  -1.19432   1.37248  -1.53209   1.67098  -1.78727   1.87939  -1.94609   1.98648   0.00000