Character table for the C105v point group

C105v   E         2 C105    2 C105^2  2 C35     2 C105^4  2 C21     2 C35^2   2 C15     2 C105^8  2 C35^3   2 C21^2   2 C105^11 2 C35^4   2 C105^13 2 C15^2   2 C7      2 C105^16 2 C105^17 2 C35^6   2 C105^19 2 C21^4   2 C5      2 C105^22 2 C105^23 2 C35^8   2 C21^5   2 C105^26 2 C35^9   2 C15^4   2 C105^29 2 C7^2    2 C105^31 2 C105^32 2 C35^11  2 C105^34 2 C3      2 C35^12  2 C105^37 2 C105^38 2 C35^13  2 C21^8   2 C105^41 2 C5^2    2 C105^43 2 C105^44 2 C7^3    2 C105^46 2 C105^47 2 C35^16  2 C15^7   2 C21^10  2 C35^17  2 C105^52 105 sv       <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A1       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   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     ... ..T ....T ......T ........T ..........T ............T
A2       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   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     ..T ... ..... ....... ......... ........... .............
E1       2.00000   1.99642   1.98569   1.96786   1.94298   1.91115   1.87247   1.82709   1.77517   1.71690   1.65248   1.58214   1.50614   1.42475   1.33826   1.24698   1.15123   1.05137   0.94774   0.84071   0.73068   0.61803   0.50317   0.38651   0.26847   0.14946   0.02992  -0.08973  -0.20906  -0.32764  -0.44504  -0.56085  -0.67466  -0.78605  -0.89463  -1.00000  -1.10179  -1.19964  -1.29320  -1.38213  -1.46610  -1.54483  -1.61803  -1.68544  -1.74682  -1.80194  -1.85061  -1.89265  -1.92793  -1.95630  -1.97766  -1.99195  -1.99910   0.00000     TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT.
E2       2.00000   1.98569   1.94298   1.87247   1.77517   1.65248   1.50614   1.33826   1.15123   0.94774   0.73068   0.50317   0.26847   0.02992  -0.20906  -0.44504  -0.67466  -0.89463  -1.10179  -1.29320  -1.46610  -1.61803  -1.74682  -1.85061  -1.92793  -1.97766  -1.99910  -1.99195  -1.95630  -1.89265  -1.80194  -1.68544  -1.54483  -1.38213  -1.19964  -1.00000  -0.78605  -0.56085  -0.32764  -0.08973   0.14946   0.38651   0.61803   0.84071   1.05137   1.24698   1.42475   1.58214   1.71690   1.82709   1.91115   1.96786   1.99642   0.00000     ... ... TT... ..TT... ....TT... ......TT... ........TT...
E3       2.00000   1.96786   1.87247   1.71690   1.50614   1.24698   0.94774   0.61803   0.26847  -0.08973  -0.44504  -0.78605  -1.10179  -1.38213  -1.61803  -1.80194  -1.92793  -1.99195  -1.99195  -1.92793  -1.80194  -1.61803  -1.38213  -1.10179  -0.78605  -0.44504  -0.08973   0.26847   0.61803   0.94774   1.24698   1.50614   1.71690   1.87247   1.96786   2.00000   1.96786   1.87247   1.71690   1.50614   1.24698   0.94774   0.61803   0.26847  -0.08973  -0.44504  -0.78605  -1.10179  -1.38213  -1.61803  -1.80194  -1.92793  -1.99195   0.00000     ... ... ..... TT..... ..TT..... ....TT..... ......TT.....
E4       2.00000   1.94298   1.77517   1.50614   1.15123   0.73068   0.26847  -0.20906  -0.67466  -1.10179  -1.46610  -1.74682  -1.92793  -1.99910  -1.95630  -1.80194  -1.54483  -1.19964  -0.78605  -0.32764   0.14946   0.61803   1.05137   1.42475   1.71690   1.91115   1.99642   1.96786   1.82709   1.58214   1.24698   0.84071   0.38651  -0.08973  -0.56085  -1.00000  -1.38213  -1.68544  -1.89265  -1.99195  -1.97766  -1.85061  -1.61803  -1.29320  -0.89463  -0.44504   0.02992   0.50317   0.94774   1.33826   1.65248   1.87247   1.98569   0.00000     ... ... ..... ....... TT....... ..TT....... ....TT.......
E5       2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766  -1.97766  -1.80194  -1.46610  -1.00000  -0.44504   0.14946   0.73068   1.24698   1.65248   1.91115   2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766  -1.97766  -1.80194  -1.46610  -1.00000  -0.44504   0.14946   0.73068   1.24698   1.65248   1.91115   2.00000   1.91115   1.65248   1.24698   0.73068   0.14946  -0.44504  -1.00000  -1.46610  -1.80194  -1.97766   0.00000     ... ... ..... ....... ......... TT......... ..TT.........
E6       2.00000   1.87247   1.50614   0.94774   0.26847  -0.44504  -1.10179  -1.61803  -1.92793  -1.99195  -1.80194  -1.38213  -0.78605  -0.08973   0.61803   1.24698   1.71690   1.96786   1.96786   1.71690   1.24698   0.61803  -0.08973  -0.78605  -1.38213  -1.80194  -1.99195  -1.92793  -1.61803  -1.10179  -0.44504   0.26847   0.94774   1.50614   1.87247   2.00000   1.87247   1.50614   0.94774   0.26847  -0.44504  -1.10179  -1.61803  -1.92793  -1.99195  -1.80194  -1.38213  -0.78605  -0.08973   0.61803   1.24698   1.71690   1.96786   0.00000     ... ... ..... ....... ......... ........... TT...........
E7       2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630  -1.95630  -1.61803  -1.00000  -0.20906   0.61803   1.33826   1.82709   2.00000   1.82709   1.33826   0.61803  -0.20906  -1.00000  -1.61803  -1.95630   0.00000     ... ... ..... ....... ......... ........... .............
E8       2.00000   1.77517   1.15123   0.26847  -0.67466  -1.46610  -1.92793  -1.95630  -1.54483  -0.78605   0.14946   1.05137   1.71690   1.99642   1.82709   1.24698   0.38651  -0.56085  -1.38213  -1.89265  -1.97766  -1.61803  -0.89463   0.02992   0.94774   1.65248   1.98569   1.87247   1.33826   0.50317  -0.44504  -1.29320  -1.85061  -1.99195  -1.68544  -1.00000  -0.08973   0.84071   1.58214   1.96786   1.91115   1.42475   0.61803  -0.32764  -1.19964  -1.80194  -1.99910  -1.74682  -1.10179  -0.20906   0.73068   1.50614   1.94298   0.00000     ... ... ..... ....... ......... ........... .............
E9       2.00000   1.71690   0.94774  -0.08973  -1.10179  -1.80194  -1.99195  -1.61803  -0.78605   0.26847   1.24698   1.87247   1.96786   1.50614   0.61803  -0.44504  -1.38213  -1.92793  -1.92793  -1.38213  -0.44504   0.61803   1.50614   1.96786   1.87247   1.24698   0.26847  -0.78605  -1.61803  -1.99195  -1.80194  -1.10179  -0.08973   0.94774   1.71690   2.00000   1.71690   0.94774  -0.08973  -1.10179  -1.80194  -1.99195  -1.61803  -0.78605   0.26847   1.24698   1.87247   1.96786   1.50614   0.61803  -0.44504  -1.38213  -1.92793   0.00000     ... ... ..... ....... ......... ........... .............
E10      2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115   1.91115   1.24698   0.14946  -1.00000  -1.80194  -1.97766  -1.46610  -0.44504   0.73068   1.65248   2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115   1.91115   1.24698   0.14946  -1.00000  -1.80194  -1.97766  -1.46610  -0.44504   0.73068   1.65248   2.00000   1.65248   0.73068  -0.44504  -1.46610  -1.97766  -1.80194  -1.00000   0.14946   1.24698   1.91115   0.00000     ... ... ..... ....... ......... ........... .............
E11      2.00000   1.58214   0.50317  -0.78605  -1.74682  -1.97766  -1.38213  -0.20906   1.05137   1.87247   1.91115   1.15123  -0.08973  -1.29320  -1.95630  -1.80194  -0.89463   0.38651   1.50614   1.99642   1.65248   0.61803  -0.67466  -1.68544  -1.99195  -1.46610  -0.32764   0.94774   1.82709   1.94298   1.24698   0.02992  -1.19964  -1.92793  -1.85061  -1.00000   0.26847   1.42475   1.98569   1.71690   0.73068  -0.56085  -1.61803  -1.99910  -1.54483  -0.44504   0.84071   1.77517   1.96786   1.33826   0.14946  -1.10179  -1.89265   0.00000     ... ... ..... ....... ......... ........... .............
E12      2.00000   1.50614   0.26847  -1.10179  -1.92793  -1.80194  -0.78605   0.61803   1.71690   1.96786   1.24698  -0.08973  -1.38213  -1.99195  -1.61803  -0.44504   0.94774   1.87247   1.87247   0.94774  -0.44504  -1.61803  -1.99195  -1.38213  -0.08973   1.24698   1.96786   1.71690   0.61803  -0.78605  -1.80194  -1.92793  -1.10179   0.26847   1.50614   2.00000   1.50614   0.26847  -1.10179  -1.92793  -1.80194  -0.78605   0.61803   1.71690   1.96786   1.24698  -0.08973  -1.38213  -1.99195  -1.61803  -0.44504   0.94774   1.87247   0.00000     ... ... ..... ....... ......... ........... .............
E13      2.00000   1.42475   0.02992  -1.38213  -1.99910  -1.46610  -0.08973   1.33826   1.99642   1.50614   0.14946  -1.29320  -1.99195  -1.54483  -0.20906   1.24698   1.98569   1.58214   0.26847  -1.19964  -1.97766  -1.61803  -0.32764   1.15123   1.96786   1.65248   0.38651  -1.10179  -1.95630  -1.68544  -0.44504   1.05137   1.94298   1.71690   0.50317  -1.00000  -1.92793  -1.74682  -0.56085   0.94774   1.91115   1.77517   0.61803  -0.89463  -1.89265  -1.80194  -0.67466   0.84071   1.87247   1.82709   0.73068  -0.78605  -1.85061   0.00000     ... ... ..... ....... ......... ........... .............
E14      2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   1.82709   0.61803  -1.00000  -1.95630  -1.61803  -0.20906   1.33826   2.00000   1.33826  -0.20906  -1.61803  -1.95630  -1.00000   0.61803   1.82709   0.00000     ... ... ..... ....... ......... ........... .............
E15      2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194  -1.80194  -0.44504   1.24698   2.00000   1.24698  -0.44504  -1.80194   0.00000     ... ... ..... ....... ......... ........... .............
E16      2.00000   1.15123  -0.67466  -1.92793  -1.54483   0.14946   1.71690   1.82709   0.38651  -1.38213  -1.97766  -0.89463   0.94774   1.98569   1.33826  -0.44504  -1.85061  -1.68544  -0.08973   1.58214   1.91115   0.61803  -1.19964  -1.99910  -1.10179   0.73068   1.94298   1.50614  -0.20906  -1.74682  -1.80194  -0.32764   1.42475   1.96786   0.84071  -1.00000  -1.99195  -1.29320   0.50317   1.87247   1.65248   0.02992  -1.61803  -1.89265  -0.56085   1.24698   1.99642   1.05137  -0.78605  -1.95630  -1.46610   0.26847   1.77517   0.00000     ... ... ..... ....... ......... ........... .............
E17      2.00000   1.05137  -0.89463  -1.99195  -1.19964   0.73068   1.96786   1.33826  -0.56085  -1.92793  -1.46610   0.38651   1.87247   1.58214  -0.20906  -1.80194  -1.68544   0.02992   1.71690   1.77517   0.14946  -1.61803  -1.85061  -0.32764   1.50614   1.91115   0.50317  -1.38213  -1.95630  -0.67466   1.24698   1.98569   0.84071  -1.10179  -1.99910  -1.00000   0.94774   1.99642   1.15123  -0.78605  -1.97766  -1.29320   0.61803   1.94298   1.42475  -0.44504  -1.89265  -1.54483   0.26847   1.82709   1.65248  -0.08973  -1.74682   0.00000     ... ... ..... ....... ......... ........... .............
E18      2.00000   0.94774  -1.10179  -1.99195  -0.78605   1.24698   1.96786   0.61803  -1.38213  -1.92793  -0.44504   1.50614   1.87247   0.26847  -1.61803  -1.80194  -0.08973   1.71690   1.71690  -0.08973  -1.80194  -1.61803   0.26847   1.87247   1.50614  -0.44504  -1.92793  -1.38213   0.61803   1.96786   1.24698  -0.78605  -1.99195  -1.10179   0.94774   2.00000   0.94774  -1.10179  -1.99195  -0.78605   1.24698   1.96786   0.61803  -1.38213  -1.92793  -0.44504   1.50614   1.87247   0.26847  -1.61803  -1.80194  -0.08973   1.71690   0.00000     ... ... ..... ....... ......... ........... .............
E19      2.00000   0.84071  -1.29320  -1.92793  -0.32764   1.65248   1.71690  -0.20906  -1.89265  -1.38213   0.73068   1.99642   0.94774  -1.19964  -1.95630  -0.44504   1.58214   1.77517  -0.08973  -1.85061  -1.46610   0.61803   1.98569   1.05137  -1.10179  -1.97766  -0.56085   1.50614   1.82709   0.02992  -1.80194  -1.54483   0.50317   1.96786   1.15123  -1.00000  -1.99195  -0.67466   1.42475   1.87247   0.14946  -1.74682  -1.61803   0.38651   1.94298   1.24698  -0.89463  -1.99910  -0.78605   1.33826   1.91115   0.26847  -1.68544   0.00000     ... ... ..... ....... ......... ........... .............
E20      2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248   1.65248  -0.44504  -1.97766  -1.00000   1.24698   1.91115   0.14946  -1.80194  -1.46610   0.73068   2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248   1.65248  -0.44504  -1.97766  -1.00000   1.24698   1.91115   0.14946  -1.80194  -1.46610   0.73068   2.00000   0.73068  -1.46610  -1.80194   0.14946   1.91115   1.24698  -1.00000  -1.97766  -0.44504   1.65248   0.00000     ... ... ..... ....... ......... ........... .............
E21      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  -1.61803   0.61803   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  -1.61803   0.61803   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  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803   0.00000     ... ... ..... ....... ......... ........... .............
E22      2.00000   0.50317  -1.74682  -1.38213   1.05137   1.91115  -0.08973  -1.95630  -0.89463   1.50614   1.65248  -0.67466  -1.99195  -0.32764   1.82709   1.24698  -1.19964  -1.85061   0.26847   1.98569   0.73068  -1.61803  -1.54483   0.84071   1.96786   0.14946  -1.89265  -1.10179   1.33826   1.77517  -0.44504  -1.99910  -0.56085   1.71690   1.42475  -1.00000  -1.92793   0.02992   1.94298   0.94774  -1.46610  -1.68544   0.61803   1.99642   0.38651  -1.80194  -1.29320   1.15123   1.87247  -0.20906  -1.97766  -0.78605   1.58214   0.00000     ... ... ..... ....... ......... ........... .............
E23      2.00000   0.38651  -1.85061  -1.10179   1.42475   1.65248  -0.78605  -1.95630   0.02992   1.96786   0.73068  -1.68544  -1.38213   1.15123   1.82709  -0.44504  -1.99910  -0.32764   1.87247   1.05137  -1.46610  -1.61803   0.84071   1.94298  -0.08973  -1.97766  -0.67466   1.71690   1.33826  -1.19964  -1.80194   0.50317   1.99642   0.26847  -1.89265  -1.00000   1.50614   1.58214  -0.89463  -1.92793   0.14946   1.98569   0.61803  -1.74682  -1.29320   1.24698   1.77517  -0.56085  -1.99195  -0.20906   1.91115   0.94774  -1.54483   0.00000     ... ... ..... ....... ......... ........... .............
E24      2.00000   0.26847  -1.92793  -0.78605   1.71690   1.24698  -1.38213  -1.61803   0.94774   1.87247  -0.44504  -1.99195  -0.08973   1.96786   0.61803  -1.80194  -1.10179   1.50614   1.50614  -1.10179  -1.80194   0.61803   1.96786  -0.08973  -1.99195  -0.44504   1.87247   0.94774  -1.61803  -1.38213   1.24698   1.71690  -0.78605  -1.92793   0.26847   2.00000   0.26847  -1.92793  -0.78605   1.71690   1.24698  -1.38213  -1.61803   0.94774   1.87247  -0.44504  -1.99195  -0.08973   1.96786   0.61803  -1.80194  -1.10179   1.50614   0.00000     ... ... ..... ....... ......... ........... .............
E25      2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610  -1.46610   1.24698   1.65248  -1.00000  -1.80194   0.73068   1.91115  -0.44504  -1.97766   0.14946   2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610  -1.46610   1.24698   1.65248  -1.00000  -1.80194   0.73068   1.91115  -0.44504  -1.97766   0.14946   2.00000   0.14946  -1.97766  -0.44504   1.91115   0.73068  -1.80194  -1.00000   1.65248   1.24698  -1.46610   0.00000     ... ... ..... ....... ......... ........... .............
E26      2.00000   0.02992  -1.99910  -0.08973   1.99642   0.14946  -1.99195  -0.20906   1.98569   0.26847  -1.97766  -0.32764   1.96786   0.38651  -1.95630  -0.44504   1.94298   0.50317  -1.92793  -0.56085   1.91115   0.61803  -1.89265  -0.67466   1.87247   0.73068  -1.85061  -0.78605   1.82709   0.84071  -1.80194  -0.89463   1.77517   0.94774  -1.74682  -1.00000   1.71690   1.05137  -1.68544  -1.10179   1.65248   1.15123  -1.61803  -1.19964   1.58214   1.24698  -1.54483  -1.29320   1.50614   1.33826  -1.46610  -1.38213   1.42475   0.00000     ... ... ..... ....... ......... ........... .............
E27      2.00000  -0.08973  -1.99195   0.26847   1.96786  -0.44504  -1.92793   0.61803   1.87247  -0.78605  -1.80194   0.94774   1.71690  -1.10179  -1.61803   1.24698   1.50614  -1.38213  -1.38213   1.50614   1.24698  -1.61803  -1.10179   1.71690   0.94774  -1.80194  -0.78605   1.87247   0.61803  -1.92793  -0.44504   1.96786   0.26847  -1.99195  -0.08973   2.00000  -0.08973  -1.99195   0.26847   1.96786  -0.44504  -1.92793   0.61803   1.87247  -0.78605  -1.80194   0.94774   1.71690  -1.10179  -1.61803   1.24698   1.50614  -1.38213   0.00000     ... ... ..... ....... ......... ........... .............
E28      2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   1.33826  -1.61803  -1.00000   1.82709   0.61803  -1.95630  -0.20906   2.00000  -0.20906  -1.95630   0.61803   1.82709  -1.00000  -1.61803   1.33826   0.00000     ... ... ..... ....... ......... ........... .............
E29      2.00000  -0.32764  -1.89265   0.94774   1.58214  -1.46610  -1.10179   1.82709   0.50317  -1.99195   0.14946   1.94298  -0.78605  -1.68544   1.33826   1.24698  -1.74682  -0.67466   1.96786   0.02992  -1.97766   0.61803   1.77517  -1.19964  -1.38213   1.65248   0.84071  -1.92793  -0.20906   1.99642  -0.44504  -1.85061   1.05137   1.50614  -1.54483  -1.00000   1.87247   0.38651  -1.99910   0.26847   1.91115  -0.89463  -1.61803   1.42475   1.15123  -1.80194  -0.56085   1.98569  -0.08973  -1.95630   0.73068   1.71690  -1.29320   0.00000     ... ... ..... ....... ......... ........... .............
E30      2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   1.24698  -1.80194  -0.44504   2.00000  -0.44504  -1.80194   1.24698   0.00000     ... ... ..... ....... ......... ........... .............
E31      2.00000  -0.56085  -1.68544   1.50614   0.84071  -1.97766   0.26847   1.82709  -1.29320  -1.10179   1.91115   0.02992  -1.92793   1.05137   1.33826  -1.80194  -0.32764   1.98569  -0.78605  -1.54483   1.65248   0.61803  -1.99910   0.50317   1.71690  -1.46610  -0.89463   1.96786  -0.20906  -1.85061   1.24698   1.15123  -1.89265  -0.08973   1.94298  -1.00000  -1.38213   1.77517   0.38651  -1.99195   0.73068   1.58214  -1.61803  -0.67466   1.99642  -0.44504  -1.74682   1.42475   0.94774  -1.95630   0.14946   1.87247  -1.19964   0.00000     ... ... ..... ....... ......... ........... .............
E32      2.00000  -0.67466  -1.54483   1.71690   0.38651  -1.97766   0.94774   1.33826  -1.85061  -0.08973   1.91115  -1.19964  -1.10179   1.94298  -0.20906  -1.80194   1.42475   0.84071  -1.99195   0.50317   1.65248  -1.61803  -0.56085   1.99642  -0.78605  -1.46610   1.77517   0.26847  -1.95630   1.05137   1.24698  -1.89265   0.02992   1.87247  -1.29320  -1.00000   1.96786  -0.32764  -1.74682   1.50614   0.73068  -1.99910   0.61803   1.58214  -1.68544  -0.44504   1.98569  -0.89463  -1.38213   1.82709   0.14946  -1.92793   1.15123   0.00000     ... ... ..... ....... ......... ........... .............
E33      2.00000  -0.78605  -1.38213   1.87247  -0.08973  -1.80194   1.50614   0.61803  -1.99195   0.94774   1.24698  -1.92793   0.26847   1.71690  -1.61803  -0.44504   1.96786  -1.10179  -1.10179   1.96786  -0.44504  -1.61803   1.71690   0.26847  -1.92793   1.24698   0.94774  -1.99195   0.61803   1.50614  -1.80194  -0.08973   1.87247  -1.38213  -0.78605   2.00000  -0.78605  -1.38213   1.87247  -0.08973  -1.80194   1.50614   0.61803  -1.99195   0.94774   1.24698  -1.92793   0.26847   1.71690  -1.61803  -0.44504   1.96786  -1.10179   0.00000     ... ... ..... ....... ......... ........... .............
E34      2.00000  -0.89463  -1.19964   1.96786  -0.56085  -1.46610   1.87247  -0.20906  -1.68544   1.71690   0.14946  -1.85061   1.50614   0.50317  -1.95630   1.24698   0.84071  -1.99910   0.94774   1.15123  -1.97766   0.61803   1.42475  -1.89265   0.26847   1.65248  -1.74682  -0.08973   1.82709  -1.54483  -0.44504   1.94298  -1.29320  -0.78605   1.99642  -1.00000  -1.10179   1.98569  -0.67466  -1.38213   1.91115  -0.32764  -1.61803   1.77517   0.02992  -1.80194   1.58214   0.38651  -1.92793   1.33826   0.73068  -1.99195   1.05137   0.00000     ... ... ..... ....... ......... ........... .............
E35      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  -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   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  -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     ... ... ..... ....... ......... ........... .............
E36      2.00000  -1.10179  -0.78605   1.96786  -1.38213  -0.44504   1.87247  -1.61803  -0.08973   1.71690  -1.80194   0.26847   1.50614  -1.92793   0.61803   1.24698  -1.99195   0.94774   0.94774  -1.99195   1.24698   0.61803  -1.92793   1.50614   0.26847  -1.80194   1.71690  -0.08973  -1.61803   1.87247  -0.44504  -1.38213   1.96786  -0.78605  -1.10179   2.00000  -1.10179  -0.78605   1.96786  -1.38213  -0.44504   1.87247  -1.61803  -0.08973   1.71690  -1.80194   0.26847   1.50614  -1.92793   0.61803   1.24698  -1.99195   0.94774   0.00000     ... ... ..... ....... ......... ........... .............
E37      2.00000  -1.19964  -0.56085   1.87247  -1.68544   0.14946   1.50614  -1.95630   0.84071   0.94774  -1.97766   1.42475   0.26847  -1.74682   1.82709  -0.44504  -1.29320   1.99642  -1.10179  -0.67466   1.91115  -1.61803   0.02992   1.58214  -1.92793   0.73068   1.05137  -1.99195   1.33826   0.38651  -1.80194   1.77517  -0.32764  -1.38213   1.98569  -1.00000  -0.78605   1.94298  -1.54483  -0.08973   1.65248  -1.89265   0.61803   1.15123  -1.99910   1.24698   0.50317  -1.85061   1.71690  -0.20906  -1.46610   1.96786  -0.89463   0.00000     ... ... ..... ....... ......... ........... .............
E38      2.00000  -1.29320  -0.32764   1.71690  -1.89265   0.73068   0.94774  -1.95630   1.58214  -0.08973  -1.46610   1.98569  -1.10179  -0.56085   1.82709  -1.80194   0.50317   1.15123  -1.99195   1.42475   0.14946  -1.61803   1.94298  -0.89463  -0.78605   1.91115  -1.68544   0.26847   1.33826  -1.99910   1.24698   0.38651  -1.74682   1.87247  -0.67466  -1.00000   1.96786  -1.54483   0.02992   1.50614  -1.97766   1.05137   0.61803  -1.85061   1.77517  -0.44504  -1.19964   1.99642  -1.38213  -0.20906   1.65248  -1.92793   0.84071   0.00000     ... ... ..... ....... ......... ........... .............
E39      2.00000  -1.38213  -0.08973   1.50614  -1.99195   1.24698   0.26847  -1.61803   1.96786  -1.10179  -0.44504   1.71690  -1.92793   0.94774   0.61803  -1.80194   1.87247  -0.78605  -0.78605   1.87247  -1.80194   0.61803   0.94774  -1.92793   1.71690  -0.44504  -1.10179   1.96786  -1.61803   0.26847   1.24698  -1.99195   1.50614  -0.08973  -1.38213   2.00000  -1.38213  -0.08973   1.50614  -1.99195   1.24698   0.26847  -1.61803   1.96786  -1.10179  -0.44504   1.71690  -1.92793   0.94774   0.61803  -1.80194   1.87247  -0.78605   0.00000     ... ... ..... ....... ......... ........... .............
E40      2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068   0.73068  -1.80194   1.91115  -1.00000  -0.44504   1.65248  -1.97766   1.24698   0.14946  -1.46610   2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068   0.73068  -1.80194   1.91115  -1.00000  -0.44504   1.65248  -1.97766   1.24698   0.14946  -1.46610   2.00000  -1.46610   0.14946   1.24698  -1.97766   1.65248  -0.44504  -1.00000   1.91115  -1.80194   0.73068   0.00000     ... ... ..... ....... ......... ........... .............
E41      2.00000  -1.54483   0.38651   0.94774  -1.85061   1.91115  -1.10179  -0.20906   1.42475  -1.99195   1.65248  -0.56085  -0.78605   1.77517  -1.95630   1.24698   0.02992  -1.29320   1.96786  -1.74682   0.73068   0.61803  -1.68544   1.98569  -1.38213   0.14946   1.15123  -1.92793   1.82709  -0.89463  -0.44504   1.58214  -1.99910   1.50614  -0.32764  -1.00000   1.87247  -1.89265   1.05137   0.26847  -1.46610   1.99642  -1.61803   0.50317   0.84071  -1.80194   1.94298  -1.19964  -0.08973   1.33826  -1.97766   1.71690  -0.67466   0.00000     ... ... ..... ....... ......... ........... .............
E42      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   0.61803  -1.61803   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   0.61803  -1.61803   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   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.00000     ... ... ..... ....... ......... ........... .............
E43      2.00000  -1.68544   0.84071   0.26847  -1.29320   1.91115  -1.92793   1.33826  -0.32764  -0.78605   1.65248  -1.99910   1.71690  -0.89463  -0.20906   1.24698  -1.89265   1.94298  -1.38213   0.38651   0.73068  -1.61803   1.99642  -1.74682   0.94774   0.14946  -1.19964   1.87247  -1.95630   1.42475  -0.44504  -0.67466   1.58214  -1.99195   1.77517  -1.00000  -0.08973   1.15123  -1.85061   1.96786  -1.46610   0.50317   0.61803  -1.54483   1.98569  -1.80194   1.05137   0.02992  -1.10179   1.82709  -1.97766   1.50614  -0.56085   0.00000     ... ... ..... ....... ......... ........... .............
E44      2.00000  -1.74682   1.05137  -0.08973  -0.89463   1.65248  -1.99195   1.82709  -1.19964   0.26847   0.73068  -1.54483   1.96786  -1.89265   1.33826  -0.44504  -0.56085   1.42475  -1.92793   1.94298  -1.46610   0.61803   0.38651  -1.29320   1.87247  -1.97766   1.58214  -0.78605  -0.20906   1.15123  -1.80194   1.99642  -1.68544   0.94774   0.02992  -1.00000   1.71690  -1.99910   1.77517  -1.10179   0.14946   0.84071  -1.61803   1.98569  -1.85061   1.24698  -0.32764  -0.67466   1.50614  -1.95630   1.91115  -1.38213   0.50317   0.00000     ... ... ..... ....... ......... ........... .............
E45      2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504  -0.44504   1.24698  -1.80194   2.00000  -1.80194   1.24698  -0.44504   0.00000     ... ... ..... ....... ......... ........... .............
E46      2.00000  -1.85061   1.42475  -0.78605   0.02992   0.73068  -1.38213   1.82709  -1.99910   1.87247  -1.46610   0.84071  -0.08973  -0.67466   1.33826  -1.80194   1.99642  -1.89265   1.50614  -0.89463   0.14946   0.61803  -1.29320   1.77517  -1.99195   1.91115  -1.54483   0.94774  -0.20906  -0.56085   1.24698  -1.74682   1.98569  -1.92793   1.58214  -1.00000   0.26847   0.50317  -1.19964   1.71690  -1.97766   1.94298  -1.61803   1.05137  -0.32764  -0.44504   1.15123  -1.68544   1.96786  -1.95630   1.65248  -1.10179   0.38651   0.00000     ... ... ..... ....... ......... ........... .............
E47      2.00000  -1.89265   1.58214  -1.10179   0.50317   0.14946  -0.78605   1.33826  -1.74682   1.96786  -1.97766   1.77517  -1.38213   0.84071  -0.20906  -0.44504   1.05137  -1.54483   1.87247  -1.99910   1.91115  -1.61803   1.15123  -0.56085  -0.08973   0.73068  -1.29320   1.71690  -1.95630   1.98569  -1.80194   1.42475  -0.89463   0.26847   0.38651  -1.00000   1.50614  -1.85061   1.99642  -1.92793   1.65248  -1.19964   0.61803   0.02992  -0.67466   1.24698  -1.68544   1.94298  -1.99195   1.82709  -1.46610   0.94774  -0.32764   0.00000     ... ... ..... ....... ......... ........... .............
E48      2.00000  -1.92793   1.71690  -1.38213   0.94774  -0.44504  -0.08973   0.61803  -1.10179   1.50614  -1.80194   1.96786  -1.99195   1.87247  -1.61803   1.24698  -0.78605   0.26847   0.26847  -0.78605   1.24698  -1.61803   1.87247  -1.99195   1.96786  -1.80194   1.50614  -1.10179   0.61803  -0.08973  -0.44504   0.94774  -1.38213   1.71690  -1.92793   2.00000  -1.92793   1.71690  -1.38213   0.94774  -0.44504  -0.08973   0.61803  -1.10179   1.50614  -1.80194   1.96786  -1.99195   1.87247  -1.61803   1.24698  -0.78605   0.26847   0.00000     ... ... ..... ....... ......... ........... .............
E49      2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906  -0.20906   0.61803  -1.00000   1.33826  -1.61803   1.82709  -1.95630   2.00000  -1.95630   1.82709  -1.61803   1.33826  -1.00000   0.61803  -0.20906   0.00000     ... ... ..... ....... ......... ........... .............
E50      2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946   0.14946  -0.44504   0.73068  -1.00000   1.24698  -1.46610   1.65248  -1.80194   1.91115  -1.97766   2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946   0.14946  -0.44504   0.73068  -1.00000   1.24698  -1.46610   1.65248  -1.80194   1.91115  -1.97766   2.00000  -1.97766   1.91115  -1.80194   1.65248  -1.46610   1.24698  -1.00000   0.73068  -0.44504   0.14946   0.00000     ... ... ..... ....... ......... ........... .............
E51      2.00000  -1.99195   1.96786  -1.92793   1.87247  -1.80194   1.71690  -1.61803   1.50614  -1.38213   1.24698  -1.10179   0.94774  -0.78605   0.61803  -0.44504   0.26847  -0.08973  -0.08973   0.26847  -0.44504   0.61803  -0.78605   0.94774  -1.10179   1.24698  -1.38213   1.50614  -1.61803   1.71690  -1.80194   1.87247  -1.92793   1.96786  -1.99195   2.00000  -1.99195   1.96786  -1.92793   1.87247  -1.80194   1.71690  -1.61803   1.50614  -1.38213   1.24698  -1.10179   0.94774  -0.78605   0.61803  -0.44504   0.26847  -0.08973   0.00000     ... ... ..... ....... ......... ........... .............
E52      2.00000  -1.99910   1.99642  -1.99195   1.98569  -1.97766   1.96786  -1.95630   1.94298  -1.92793   1.91115  -1.89265   1.87247  -1.85061   1.82709  -1.80194   1.77517  -1.74682   1.71690  -1.68544   1.65248  -1.61803   1.58214  -1.54483   1.50614  -1.46610   1.42475  -1.38213   1.33826  -1.29320   1.24698  -1.19964   1.15123  -1.10179   1.05137  -1.00000   0.94774  -0.89463   0.84071  -0.78605   0.73068  -0.67466   0.61803  -0.56085   0.50317  -0.44504   0.38651  -0.32764   0.26847  -0.20906   0.14946  -0.08973   0.02992   0.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.996420259535 = 2*cos(2*π/105)
                               1.985693852684 = 2*cos(4*π/105)
                               1.967859177197 = 2*cos(6*π/105) = 2*cos(2*π/35)
                               1.942980076586 = 2*cos(8*π/105)
                               1.911145611572 = 2*cos(10*π/105) = 2*cos(2*π/21)
                               1.872469741279 = 2*cos(12*π/105) = 2*cos(4*π/35)
                               1.827090915285 = 2*cos(14*π/105) = 2*cos(2*π/15) = (1+√5+√30−6*√5)/4
                               1.775171578009 = 2*cos(16*π/105)
                               1.716897587204 = 2*cos(18*π/105) = 2*cos(6*π/35)
                               1.652477548632 = 2*cos(20*π/105) = 2*cos(4*π/21)
                               1.582142069313 = 2*cos(22*π/105)
                               1.506142932007 = 2*cos(24*π/105) = 2*cos(8*π/35)
                               1.424752193903 = 2*cos(26*π/105)
                               1.338261212718 = 2*cos(28*π/105) = 2*cos(4*π/15) = (1−√5+√30+6*√5)/4
                               1.246979603717 = 2*cos(30*π/105) = 2*cos(2*π/7)
                               1.151234131371 = 2*cos(32*π/105)
                               1.051367539621 = 2*cos(34*π/105)
                               0.947737324946 = 2*cos(36*π/105) = 2*cos(12*π/35)
                               0.840714456619 = 2*cos(38*π/105)
                               0.730682048733 = 2*cos(40*π/105) = 2*cos(8*π/21)
                               0.618033988750 = 2*cos(42*π/105) = 2*cos(2*π/5) = (√5−1)/2
                               0.503173527489 = 2*cos(44*π/105)
                               0.386511835591 = 2*cos(46*π/105)
                               0.268466531635 = 2*cos(48*π/105) = 2*cos(16*π/35)
                               0.149460187173 = 2*cos(50*π/105) = 2*cos(10*π/21)
                               0.029918814031 = 2*cos(52*π/105)
                              -0.089729660701 = 2*cos(54*π/105) = 2*cos(18*π/35)
                              -0.209056926535 = 2*cos(56*π/105) = 2*cos(8*π/15) = −(√30−6*√5−√5−1)/4
                              -0.327635822830 = 2*cos(58*π/105)
                              -0.445041867913 = 2*cos(60*π/105) = 2*cos(4*π/7)
                              -0.560854778612 = 2*cos(62*π/105)
                              -0.674659974766 = 2*cos(64*π/105)
                              -0.786050063308 = 2*cos(66*π/105) = 2*cos(22*π/35)
                              -0.894626296631 = 2*cos(68*π/105)
                              -1.101793962904 = 2*cos(72*π/105) = 2*cos(24*π/35)
                              -1.199643789376 = 2*cos(74*π/105)
                              -1.293199202432 = 2*cos(76*π/105)
                              -1.382125297974 = 2*cos(78*π/105) = 2*cos(26*π/35)
                              -1.466103743660 = 2*cos(80*π/105) = 2*cos(16*π/21)
                              -1.544833918449 = 2*cos(82*π/105)
                              -1.618033988750 = 2*cos(84*π/105) = 2*cos(4*π/5) = −(√5+1)/2
                              -1.685441917308 = 2*cos(86*π/105)
                              -1.746816401234 = 2*cos(88*π/105)
                              -1.801937735805 = 2*cos(90*π/105) = 2*cos(6*π/7)
                              -1.850608600948 = 2*cos(92*π/105)
                              -1.892654767598 = 2*cos(94*π/105)
                              -1.927925721392 = 2*cos(96*π/105) = 2*cos(32*π/35)
                              -1.956295201468 = 2*cos(98*π/105) = 2*cos(14*π/15) = −(√5−1+√30+6*√5)/4
                              -1.977661652450 = 2*cos(100*π/105) = 2*cos(20*π/21)
                              -1.991948587990 = 2*cos(102*π/105) = 2*cos(34*π/35)
                              -1.999104864567 = 2*cos(104*π/105)



 Symmetry of Rotations and Cartesian products

A1   p+d+f+g+h+i+j+k+l+m    z, z2, z3, z4, z5, z6 
A2   R                      Rz 
E1   R+p+d+f+g+h+i+j+k+l+m  {Rx, Ry}, {x, y}, {xz, yz}, {xz2, yz2}, {xz3, yz3}, {xz4, yz4}, {xz5, yz5} 
E2   d+f+g+h+i+j+k+l+m      {x2y2, xy}, {z(x2y2), xyz}, {z2(x2y2), xyz2}, {z3(x2y2), xyz3}, {z4(x2y2), xyz4} 
E3   f+g+h+i+j+k+l+m        {x(x2−3y2), y(3x2y2)}, {xz(x2−3y2), yz(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E4   g+h+i+j+k+l+m          {(x2y2)2−4x2y2, xy(x2y2)}, {z((x2y2)2−4x2y2), xyz(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5   h+i+j+k+l+m            {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)}, {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E6   i+j+k+l+m              {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7   j+k+l+m 
E8   k+l+m 
E9   l+m 
E10  m 

 Notes:

    α  The order of the C105v point group is 210, and the order of the principal axis (C105) is 105. The group has 54 irreducible representations.

    β  The C105v point group is isomorphic to D105.

    γ  The C105v point group is generated by two symmetry elements, C105 and any σv.
       Also, the group may be generated from two σv planes (some pairs will yield smaller groups, though; choosing a minimum angle is safe).

    δ  The lowest nonvanishing multipole moment in C105v is 2 (dipole moment).

    ε  This point group is non-Abelian (some symmetry operations are not commutative).
       Therefore, the character table contains multi-membered classes and degenerate irreducible representations.

    ζ  Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6.
       These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1.
       All characters are algebraic integers of a degree much less than half the order of the principal axis.

    η  The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible
       if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given
       by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three.
       While some characters of this group can be expressed using real integers and square roots alone, others need complex numbers and third roots.

This Character Table for the C105v point group was created by Gernot Katzer.

For other groups and some explanations, see the Main Page.