Character table for the C94 point group

C94     E        2 C94    2 C47    2 C94^3  2 C47^2  2 C94^5  2 C47^3  2 C94^7  2 C47^4  2 C94^9  2 C47^5  2 C94^11 2 C47^6  2 C94^13 2 C47^7  2 C94^15 2 C47^8  2 C94^17 2 C47^9  2 C94^19 2 C47^10 2 C94^21 2 C47^11 2 C94^23 2 C47^12 2 C94^25 2 C47^13 2 C94^27 2 C47^14 2 C94^29 2 C47^15 2 C94^31 2 C47^16 2 C94^33 2 C47^17 2 C94^35 2 C47^18 2 C94^37 2 C47^19 2 C94^39 2 C47^20 2 C94^41 2 C47^21 2 C94^43 2 C47^22 2 C94^45 2 C47^23 C2          <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A       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 ............T
B       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     ... ... ..... ....... ......... ........... .............
E1  *   2.00000  1.99553  1.98215  1.95992  1.92894  1.88934  1.84130  1.78504  1.72080  1.64888  1.56960  1.48330  1.39038  1.29126  1.18636  1.07616  0.96116  0.84187  0.71882  0.59255  0.46364  0.33266  0.20019  0.06683 -0.06683 -0.20019 -0.33266 -0.46364 -0.59255 -0.71882 -0.84187 -0.96116 -1.07616 -1.18636 -1.29126 -1.39038 -1.48330 -1.56960 -1.64888 -1.72080 -1.78504 -1.84130 -1.88934 -1.92894 -1.95992 -1.98215 -1.99553 -2.00000     TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT.
E2  *   2.00000  1.98215  1.92894  1.84130  1.72080  1.56960  1.39038  1.18636  0.96116  0.71882  0.46364  0.20019 -0.06683 -0.33266 -0.59255 -0.84187 -1.07616 -1.29126 -1.48330 -1.64888 -1.78504 -1.88934 -1.95992 -1.99553 -1.99553 -1.95992 -1.88934 -1.78504 -1.64888 -1.48330 -1.29126 -1.07616 -0.84187 -0.59255 -0.33266 -0.06683  0.20019  0.46364  0.71882  0.96116  1.18636  1.39038  1.56960  1.72080  1.84130  1.92894  1.98215  2.00000     ... ... TT... ..TT... ....TT... ......TT... ........TT...
E3  *   2.00000  1.95992  1.84130  1.64888  1.39038  1.07616  0.71882  0.33266 -0.06683 -0.46364 -0.84187 -1.18636 -1.48330 -1.72080 -1.88934 -1.98215 -1.99553 -1.92894 -1.78504 -1.56960 -1.29126 -0.96116 -0.59255 -0.20019  0.20019  0.59255  0.96116  1.29126  1.56960  1.78504  1.92894  1.99553  1.98215  1.88934  1.72080  1.48330  1.18636  0.84187  0.46364  0.06683 -0.33266 -0.71882 -1.07616 -1.39038 -1.64888 -1.84130 -1.95992 -2.00000     ... ... ..... TT..... ..TT..... ....TT..... ......TT.....
E4  *   2.00000  1.92894  1.72080  1.39038  0.96116  0.46364 -0.06683 -0.59255 -1.07616 -1.48330 -1.78504 -1.95992 -1.99553 -1.88934 -1.64888 -1.29126 -0.84187 -0.33266  0.20019  0.71882  1.18636  1.56960  1.84130  1.98215  1.98215  1.84130  1.56960  1.18636  0.71882  0.20019 -0.33266 -0.84187 -1.29126 -1.64888 -1.88934 -1.99553 -1.95992 -1.78504 -1.48330 -1.07616 -0.59255 -0.06683  0.46364  0.96116  1.39038  1.72080  1.92894  2.00000     ... ... ..... ....... TT....... ..TT....... ....TT.......
E5  *   2.00000  1.88934  1.56960  1.07616  0.46364 -0.20019 -0.84187 -1.39038 -1.78504 -1.98215 -1.95992 -1.72080 -1.29126 -0.71882 -0.06683  0.59255  1.18636  1.64888  1.92894  1.99553  1.84130  1.48330  0.96116  0.33266 -0.33266 -0.96116 -1.48330 -1.84130 -1.99553 -1.92894 -1.64888 -1.18636 -0.59255  0.06683  0.71882  1.29126  1.72080  1.95992  1.98215  1.78504  1.39038  0.84187  0.20019 -0.46364 -1.07616 -1.56960 -1.88934 -2.00000     ... ... ..... ....... ......... TT......... ..TT.........
E6  *   2.00000  1.84130  1.39038  0.71882 -0.06683 -0.84187 -1.48330 -1.88934 -1.99553 -1.78504 -1.29126 -0.59255  0.20019  0.96116  1.56960  1.92894  1.98215  1.72080  1.18636  0.46364 -0.33266 -1.07616 -1.64888 -1.95992 -1.95992 -1.64888 -1.07616 -0.33266  0.46364  1.18636  1.72080  1.98215  1.92894  1.56960  0.96116  0.20019 -0.59255 -1.29126 -1.78504 -1.99553 -1.88934 -1.48330 -0.84187 -0.06683  0.71882  1.39038  1.84130  2.00000     ... ... ..... ....... ......... ........... TT...........
E7  *   2.00000  1.78504  1.18636  0.33266 -0.59255 -1.39038 -1.88934 -1.98215 -1.64888 -0.96116 -0.06683  0.84187  1.56960  1.95992  1.92894  1.48330  0.71882 -0.20019 -1.07616 -1.72080 -1.99553 -1.84130 -1.29126 -0.46364  0.46364  1.29126  1.84130  1.99553  1.72080  1.07616  0.20019 -0.71882 -1.48330 -1.92894 -1.95992 -1.56960 -0.84187  0.06683  0.96116  1.64888  1.98215  1.88934  1.39038  0.59255 -0.33266 -1.18636 -1.78504 -2.00000     ... ... ..... ....... ......... ........... .............
E8  *   2.00000  1.72080  0.96116 -0.06683 -1.07616 -1.78504 -1.99553 -1.64888 -0.84187  0.20019  1.18636  1.84130  1.98215  1.56960  0.71882 -0.33266 -1.29126 -1.88934 -1.95992 -1.48330 -0.59255  0.46364  1.39038  1.92894  1.92894  1.39038  0.46364 -0.59255 -1.48330 -1.95992 -1.88934 -1.29126 -0.33266  0.71882  1.56960  1.98215  1.84130  1.18636  0.20019 -0.84187 -1.64888 -1.99553 -1.78504 -1.07616 -0.06683  0.96116  1.72080  2.00000     ... ... ..... ....... ......... ........... .............
E9  *   2.00000  1.64888  0.71882 -0.46364 -1.48330 -1.98215 -1.78504 -0.96116  0.20019  1.29126  1.92894  1.88934  1.18636  0.06683 -1.07616 -1.84130 -1.95992 -1.39038 -0.33266  0.84187  1.72080  1.99553  1.56960  0.59255 -0.59255 -1.56960 -1.99553 -1.72080 -0.84187  0.33266  1.39038  1.95992  1.84130  1.07616 -0.06683 -1.18636 -1.88934 -1.92894 -1.29126 -0.20019  0.96116  1.78504  1.98215  1.48330  0.46364 -0.71882 -1.64888 -2.00000     ... ... ..... ....... ......... ........... .............
E10 *   2.00000  1.56960  0.46364 -0.84187 -1.78504 -1.95992 -1.29126 -0.06683  1.18636  1.92894  1.84130  0.96116 -0.33266 -1.48330 -1.99553 -1.64888 -0.59255  0.71882  1.72080  1.98215  1.39038  0.20019 -1.07616 -1.88934 -1.88934 -1.07616  0.20019  1.39038  1.98215  1.72080  0.71882 -0.59255 -1.64888 -1.99553 -1.48330 -0.33266  0.96116  1.84130  1.92894  1.18636 -0.06683 -1.29126 -1.95992 -1.78504 -0.84187  0.46364  1.56960  2.00000     ... ... ..... ....... ......... ........... .............
E11 *   2.00000  1.48330  0.20019 -1.18636 -1.95992 -1.72080 -0.59255  0.84187  1.84130  1.88934  0.96116 -0.46364 -1.64888 -1.98215 -1.29126  0.06683  1.39038  1.99553  1.56960  0.33266 -1.07616 -1.92894 -1.78504 -0.71882  0.71882  1.78504  1.92894  1.07616 -0.33266 -1.56960 -1.99553 -1.39038 -0.06683  1.29126  1.98215  1.64888  0.46364 -0.96116 -1.88934 -1.84130 -0.84187  0.59255  1.72080  1.95992  1.18636 -0.20019 -1.48330 -2.00000     ... ... ..... ....... ......... ........... .............
E12 *   2.00000  1.39038 -0.06683 -1.48330 -1.99553 -1.29126  0.20019  1.56960  1.98215  1.18636 -0.33266 -1.64888 -1.95992 -1.07616  0.46364  1.72080  1.92894  0.96116 -0.59255 -1.78504 -1.88934 -0.84187  0.71882  1.84130  1.84130  0.71882 -0.84187 -1.88934 -1.78504 -0.59255  0.96116  1.92894  1.72080  0.46364 -1.07616 -1.95992 -1.64888 -0.33266  1.18636  1.98215  1.56960  0.20019 -1.29126 -1.99553 -1.48330 -0.06683  1.39038  2.00000     ... ... ..... ....... ......... ........... .............
E13 *   2.00000  1.29126 -0.33266 -1.72080 -1.88934 -0.71882  0.96116  1.95992  1.56960  0.06683 -1.48330 -1.98215 -1.07616  0.59255  1.84130  1.78504  0.46364 -1.18636 -1.99553 -1.39038  0.20019  1.64888  1.92894  0.84187 -0.84187 -1.92894 -1.64888 -0.20019  1.39038  1.99553  1.18636 -0.46364 -1.78504 -1.84130 -0.59255  1.07616  1.98215  1.48330 -0.06683 -1.56960 -1.95992 -0.96116  0.71882  1.88934  1.72080  0.33266 -1.29126 -2.00000     ... ... ..... ....... ......... ........... .............
E14 *   2.00000  1.18636 -0.59255 -1.88934 -1.64888 -0.06683  1.56960  1.92894  0.71882 -1.07616 -1.99553 -1.29126  0.46364  1.84130  1.72080  0.20019 -1.48330 -1.95992 -0.84187  0.96116  1.98215  1.39038 -0.33266 -1.78504 -1.78504 -0.33266  1.39038  1.98215  0.96116 -0.84187 -1.95992 -1.48330  0.20019  1.72080  1.84130  0.46364 -1.29126 -1.99553 -1.07616  0.71882  1.92894  1.56960 -0.06683 -1.64888 -1.88934 -0.59255  1.18636  2.00000     ... ... ..... ....... ......... ........... .............
E15 *   2.00000  1.07616 -0.84187 -1.98215 -1.29126  0.59255  1.92894  1.48330 -0.33266 -1.84130 -1.64888  0.06683  1.72080  1.78504  0.20019 -1.56960 -1.88934 -0.46364  1.39038  1.95992  0.71882 -1.18636 -1.99553 -0.96116  0.96116  1.99553  1.18636 -0.71882 -1.95992 -1.39038  0.46364  1.88934  1.56960 -0.20019 -1.78504 -1.72080 -0.06683  1.64888  1.84130  0.33266 -1.48330 -1.92894 -0.59255  1.29126  1.98215  0.84187 -1.07616 -2.00000     ... ... ..... ....... ......... ........... .............
E16 *   2.00000  0.96116 -1.07616 -1.99553 -0.84187  1.18636  1.98215  0.71882 -1.29126 -1.95992 -0.59255  1.39038  1.92894  0.46364 -1.48330 -1.88934 -0.33266  1.56960  1.84130  0.20019 -1.64888 -1.78504 -0.06683  1.72080  1.72080 -0.06683 -1.78504 -1.64888  0.20019  1.84130  1.56960 -0.33266 -1.88934 -1.48330  0.46364  1.92894  1.39038 -0.59255 -1.95992 -1.29126  0.71882  1.98215  1.18636 -0.84187 -1.99553 -1.07616  0.96116  2.00000     ... ... ..... ....... ......... ........... .............
E17 *   2.00000  0.84187 -1.29126 -1.92894 -0.33266  1.64888  1.72080 -0.20019 -1.88934 -1.39038  0.71882  1.99553  0.96116 -1.18636 -1.95992 -0.46364  1.56960  1.78504 -0.06683 -1.84130 -1.48330  0.59255  1.98215  1.07616 -1.07616 -1.98215 -0.59255  1.48330  1.84130  0.06683 -1.78504 -1.56960  0.46364  1.95992  1.18636 -0.96116 -1.99553 -0.71882  1.39038  1.88934  0.20019 -1.72080 -1.64888  0.33266  1.92894  1.29126 -0.84187 -2.00000     ... ... ..... ....... ......... ........... .............
E18 *   2.00000  0.71882 -1.48330 -1.78504  0.20019  1.92894  1.18636 -1.07616 -1.95992 -0.33266  1.72080  1.56960 -0.59255 -1.99553 -0.84187  1.39038  1.84130 -0.06683 -1.88934 -1.29126  0.96116  1.98215  0.46364 -1.64888 -1.64888  0.46364  1.98215  0.96116 -1.29126 -1.88934 -0.06683  1.84130  1.39038 -0.84187 -1.99553 -0.59255  1.56960  1.72080 -0.33266 -1.95992 -1.07616  1.18636  1.92894  0.20019 -1.78504 -1.48330  0.71882  2.00000     ... ... ..... ....... ......... ........... .............
E19 *   2.00000  0.59255 -1.64888 -1.56960  0.71882  1.99553  0.46364 -1.72080 -1.48330  0.84187  1.98215  0.33266 -1.78504 -1.39038  0.96116  1.95992  0.20019 -1.84130 -1.29126  1.07616  1.92894  0.06683 -1.88934 -1.18636  1.18636  1.88934 -0.06683 -1.92894 -1.07616  1.29126  1.84130 -0.20019 -1.95992 -0.96116  1.39038  1.78504 -0.33266 -1.98215 -0.84187  1.48330  1.72080 -0.46364 -1.99553 -0.71882  1.56960  1.64888 -0.59255 -2.00000     ... ... ..... ....... ......... ........... .............
E20 *   2.00000  0.46364 -1.78504 -1.29126  1.18636  1.84130 -0.33266 -1.99553 -0.59255  1.72080  1.39038 -1.07616 -1.88934  0.20019  1.98215  0.71882 -1.64888 -1.48330  0.96116  1.92894 -0.06683 -1.95992 -0.84187  1.56960  1.56960 -0.84187 -1.95992 -0.06683  1.92894  0.96116 -1.48330 -1.64888  0.71882  1.98215  0.20019 -1.88934 -1.07616  1.39038  1.72080 -0.59255 -1.99553 -0.33266  1.84130  1.18636 -1.29126 -1.78504  0.46364  2.00000     ... ... ..... ....... ......... ........... .............
E21 *   2.00000  0.33266 -1.88934 -0.96116  1.56960  1.48330 -1.07616 -1.84130  0.46364  1.99553  0.20019 -1.92894 -0.84187  1.64888  1.39038 -1.18636 -1.78504  0.59255  1.98215  0.06683 -1.95992 -0.71882  1.72080  1.29126 -1.29126 -1.72080  0.71882  1.95992 -0.06683 -1.98215 -0.59255  1.78504  1.18636 -1.39038 -1.64888  0.84187  1.92894 -0.20019 -1.99553 -0.46364  1.84130  1.07616 -1.48330 -1.56960  0.96116  1.88934 -0.33266 -2.00000     ... ... ..... ....... ......... ........... .............
E22 *   2.00000  0.20019 -1.95992 -0.59255  1.84130  0.96116 -1.64888 -1.29126  1.39038  1.56960 -1.07616 -1.78504  0.71882  1.92894 -0.33266 -1.99553 -0.06683  1.98215  0.46364 -1.88934 -0.84187  1.72080  1.18636 -1.48330 -1.48330  1.18636  1.72080 -0.84187 -1.88934  0.46364  1.98215 -0.06683 -1.99553 -0.33266  1.92894  0.71882 -1.78504 -1.07616  1.56960  1.39038 -1.29126 -1.64888  0.96116  1.84130 -0.59255 -1.95992  0.20019  2.00000     ... ... ..... ....... ......... ........... .............
E23 *   2.00000  0.06683 -1.99553 -0.20019  1.98215  0.33266 -1.95992 -0.46364  1.92894  0.59255 -1.88934 -0.71882  1.84130  0.84187 -1.78504 -0.96116  1.72080  1.07616 -1.64888 -1.18636  1.56960  1.29126 -1.48330 -1.39038  1.39038  1.48330 -1.29126 -1.56960  1.18636  1.64888 -1.07616 -1.72080  0.96116  1.78504 -0.84187 -1.84130  0.71882  1.88934 -0.59255 -1.92894  0.46364  1.95992 -0.33266 -1.98215  0.20019  1.99553 -0.06683 -2.00000     ... ... ..... ....... ......... ........... .............
E24 *   2.00000 -0.06683 -1.99553  0.20019  1.98215 -0.33266 -1.95992  0.46364  1.92894 -0.59255 -1.88934  0.71882  1.84130 -0.84187 -1.78504  0.96116  1.72080 -1.07616 -1.64888  1.18636  1.56960 -1.29126 -1.48330  1.39038  1.39038 -1.48330 -1.29126  1.56960  1.18636 -1.64888 -1.07616  1.72080  0.96116 -1.78504 -0.84187  1.84130  0.71882 -1.88934 -0.59255  1.92894  0.46364 -1.95992 -0.33266  1.98215  0.20019 -1.99553 -0.06683  2.00000     ... ... ..... ....... ......... ........... .............
E25 *   2.00000 -0.20019 -1.95992  0.59255  1.84130 -0.96116 -1.64888  1.29126  1.39038 -1.56960 -1.07616  1.78504  0.71882 -1.92894 -0.33266  1.99553 -0.06683 -1.98215  0.46364  1.88934 -0.84187 -1.72080  1.18636  1.48330 -1.48330 -1.18636  1.72080  0.84187 -1.88934 -0.46364  1.98215  0.06683 -1.99553  0.33266  1.92894 -0.71882 -1.78504  1.07616  1.56960 -1.39038 -1.29126  1.64888  0.96116 -1.84130 -0.59255  1.95992  0.20019 -2.00000     ... ... ..... ....... ......... ........... .............
E26 *   2.00000 -0.33266 -1.88934  0.96116  1.56960 -1.48330 -1.07616  1.84130  0.46364 -1.99553  0.20019  1.92894 -0.84187 -1.64888  1.39038  1.18636 -1.78504 -0.59255  1.98215 -0.06683 -1.95992  0.71882  1.72080 -1.29126 -1.29126  1.72080  0.71882 -1.95992 -0.06683  1.98215 -0.59255 -1.78504  1.18636  1.39038 -1.64888 -0.84187  1.92894  0.20019 -1.99553  0.46364  1.84130 -1.07616 -1.48330  1.56960  0.96116 -1.88934 -0.33266  2.00000     ... ... ..... ....... ......... ........... .............
E27 *   2.00000 -0.46364 -1.78504  1.29126  1.18636 -1.84130 -0.33266  1.99553 -0.59255 -1.72080  1.39038  1.07616 -1.88934 -0.20019  1.98215 -0.71882 -1.64888  1.48330  0.96116 -1.92894 -0.06683  1.95992 -0.84187 -1.56960  1.56960  0.84187 -1.95992  0.06683  1.92894 -0.96116 -1.48330  1.64888  0.71882 -1.98215  0.20019  1.88934 -1.07616 -1.39038  1.72080  0.59255 -1.99553  0.33266  1.84130 -1.18636 -1.29126  1.78504  0.46364 -2.00000     ... ... ..... ....... ......... ........... .............
E28 *   2.00000 -0.59255 -1.64888  1.56960  0.71882 -1.99553  0.46364  1.72080 -1.48330 -0.84187  1.98215 -0.33266 -1.78504  1.39038  0.96116 -1.95992  0.20019  1.84130 -1.29126 -1.07616  1.92894 -0.06683 -1.88934  1.18636  1.18636 -1.88934 -0.06683  1.92894 -1.07616 -1.29126  1.84130  0.20019 -1.95992  0.96116  1.39038 -1.78504 -0.33266  1.98215 -0.84187 -1.48330  1.72080  0.46364 -1.99553  0.71882  1.56960 -1.64888 -0.59255  2.00000     ... ... ..... ....... ......... ........... .............
E29 *   2.00000 -0.71882 -1.48330  1.78504  0.20019 -1.92894  1.18636  1.07616 -1.95992  0.33266  1.72080 -1.56960 -0.59255  1.99553 -0.84187 -1.39038  1.84130  0.06683 -1.88934  1.29126  0.96116 -1.98215  0.46364  1.64888 -1.64888 -0.46364  1.98215 -0.96116 -1.29126  1.88934 -0.06683 -1.84130  1.39038  0.84187 -1.99553  0.59255  1.56960 -1.72080 -0.33266  1.95992 -1.07616 -1.18636  1.92894 -0.20019 -1.78504  1.48330  0.71882 -2.00000     ... ... ..... ....... ......... ........... .............
E30 *   2.00000 -0.84187 -1.29126  1.92894 -0.33266 -1.64888  1.72080  0.20019 -1.88934  1.39038  0.71882 -1.99553  0.96116  1.18636 -1.95992  0.46364  1.56960 -1.78504 -0.06683  1.84130 -1.48330 -0.59255  1.98215 -1.07616 -1.07616  1.98215 -0.59255 -1.48330  1.84130 -0.06683 -1.78504  1.56960  0.46364 -1.95992  1.18636  0.96116 -1.99553  0.71882  1.39038 -1.88934  0.20019  1.72080 -1.64888 -0.33266  1.92894 -1.29126 -0.84187  2.00000     ... ... ..... ....... ......... ........... .............
E31 *   2.00000 -0.96116 -1.07616  1.99553 -0.84187 -1.18636  1.98215 -0.71882 -1.29126  1.95992 -0.59255 -1.39038  1.92894 -0.46364 -1.48330  1.88934 -0.33266 -1.56960  1.84130 -0.20019 -1.64888  1.78504 -0.06683 -1.72080  1.72080  0.06683 -1.78504  1.64888  0.20019 -1.84130  1.56960  0.33266 -1.88934  1.48330  0.46364 -1.92894  1.39038  0.59255 -1.95992  1.29126  0.71882 -1.98215  1.18636  0.84187 -1.99553  1.07616  0.96116 -2.00000     ... ... ..... ....... ......... ........... .............
E32 *   2.00000 -1.07616 -0.84187  1.98215 -1.29126 -0.59255  1.92894 -1.48330 -0.33266  1.84130 -1.64888 -0.06683  1.72080 -1.78504  0.20019  1.56960 -1.88934  0.46364  1.39038 -1.95992  0.71882  1.18636 -1.99553  0.96116  0.96116 -1.99553  1.18636  0.71882 -1.95992  1.39038  0.46364 -1.88934  1.56960  0.20019 -1.78504  1.72080 -0.06683 -1.64888  1.84130 -0.33266 -1.48330  1.92894 -0.59255 -1.29126  1.98215 -0.84187 -1.07616  2.00000     ... ... ..... ....... ......... ........... .............
E33 *   2.00000 -1.18636 -0.59255  1.88934 -1.64888  0.06683  1.56960 -1.92894  0.71882  1.07616 -1.99553  1.29126  0.46364 -1.84130  1.72080 -0.20019 -1.48330  1.95992 -0.84187 -0.96116  1.98215 -1.39038 -0.33266  1.78504 -1.78504  0.33266  1.39038 -1.98215  0.96116  0.84187 -1.95992  1.48330  0.20019 -1.72080  1.84130 -0.46364 -1.29126  1.99553 -1.07616 -0.71882  1.92894 -1.56960 -0.06683  1.64888 -1.88934  0.59255  1.18636 -2.00000     ... ... ..... ....... ......... ........... .............
E34 *   2.00000 -1.29126 -0.33266  1.72080 -1.88934  0.71882  0.96116 -1.95992  1.56960 -0.06683 -1.48330  1.98215 -1.07616 -0.59255  1.84130 -1.78504  0.46364  1.18636 -1.99553  1.39038  0.20019 -1.64888  1.92894 -0.84187 -0.84187  1.92894 -1.64888  0.20019  1.39038 -1.99553  1.18636  0.46364 -1.78504  1.84130 -0.59255 -1.07616  1.98215 -1.48330 -0.06683  1.56960 -1.95992  0.96116  0.71882 -1.88934  1.72080 -0.33266 -1.29126  2.00000     ... ... ..... ....... ......... ........... .............
E35 *   2.00000 -1.39038 -0.06683  1.48330 -1.99553  1.29126  0.20019 -1.56960  1.98215 -1.18636 -0.33266  1.64888 -1.95992  1.07616  0.46364 -1.72080  1.92894 -0.96116 -0.59255  1.78504 -1.88934  0.84187  0.71882 -1.84130  1.84130 -0.71882 -0.84187  1.88934 -1.78504  0.59255  0.96116 -1.92894  1.72080 -0.46364 -1.07616  1.95992 -1.64888  0.33266  1.18636 -1.98215  1.56960 -0.20019 -1.29126  1.99553 -1.48330  0.06683  1.39038 -2.00000     ... ... ..... ....... ......... ........... .............
E36 *   2.00000 -1.48330  0.20019  1.18636 -1.95992  1.72080 -0.59255 -0.84187  1.84130 -1.88934  0.96116  0.46364 -1.64888  1.98215 -1.29126 -0.06683  1.39038 -1.99553  1.56960 -0.33266 -1.07616  1.92894 -1.78504  0.71882  0.71882 -1.78504  1.92894 -1.07616 -0.33266  1.56960 -1.99553  1.39038 -0.06683 -1.29126  1.98215 -1.64888  0.46364  0.96116 -1.88934  1.84130 -0.84187 -0.59255  1.72080 -1.95992  1.18636  0.20019 -1.48330  2.00000     ... ... ..... ....... ......... ........... .............
E37 *   2.00000 -1.56960  0.46364  0.84187 -1.78504  1.95992 -1.29126  0.06683  1.18636 -1.92894  1.84130 -0.96116 -0.33266  1.48330 -1.99553  1.64888 -0.59255 -0.71882  1.72080 -1.98215  1.39038 -0.20019 -1.07616  1.88934 -1.88934  1.07616  0.20019 -1.39038  1.98215 -1.72080  0.71882  0.59255 -1.64888  1.99553 -1.48330  0.33266  0.96116 -1.84130  1.92894 -1.18636 -0.06683  1.29126 -1.95992  1.78504 -0.84187 -0.46364  1.56960 -2.00000     ... ... ..... ....... ......... ........... .............
E38 *   2.00000 -1.64888  0.71882  0.46364 -1.48330  1.98215 -1.78504  0.96116  0.20019 -1.29126  1.92894 -1.88934  1.18636 -0.06683 -1.07616  1.84130 -1.95992  1.39038 -0.33266 -0.84187  1.72080 -1.99553  1.56960 -0.59255 -0.59255  1.56960 -1.99553  1.72080 -0.84187 -0.33266  1.39038 -1.95992  1.84130 -1.07616 -0.06683  1.18636 -1.88934  1.92894 -1.29126  0.20019  0.96116 -1.78504  1.98215 -1.48330  0.46364  0.71882 -1.64888  2.00000     ... ... ..... ....... ......... ........... .............
E39 *   2.00000 -1.72080  0.96116  0.06683 -1.07616  1.78504 -1.99553  1.64888 -0.84187 -0.20019  1.18636 -1.84130  1.98215 -1.56960  0.71882  0.33266 -1.29126  1.88934 -1.95992  1.48330 -0.59255 -0.46364  1.39038 -1.92894  1.92894 -1.39038  0.46364  0.59255 -1.48330  1.95992 -1.88934  1.29126 -0.33266 -0.71882  1.56960 -1.98215  1.84130 -1.18636  0.20019  0.84187 -1.64888  1.99553 -1.78504  1.07616 -0.06683 -0.96116  1.72080 -2.00000     ... ... ..... ....... ......... ........... .............
E40 *   2.00000 -1.78504  1.18636 -0.33266 -0.59255  1.39038 -1.88934  1.98215 -1.64888  0.96116 -0.06683 -0.84187  1.56960 -1.95992  1.92894 -1.48330  0.71882  0.20019 -1.07616  1.72080 -1.99553  1.84130 -1.29126  0.46364  0.46364 -1.29126  1.84130 -1.99553  1.72080 -1.07616  0.20019  0.71882 -1.48330  1.92894 -1.95992  1.56960 -0.84187 -0.06683  0.96116 -1.64888  1.98215 -1.88934  1.39038 -0.59255 -0.33266  1.18636 -1.78504  2.00000     ... ... ..... ....... ......... ........... .............
E41 *   2.00000 -1.84130  1.39038 -0.71882 -0.06683  0.84187 -1.48330  1.88934 -1.99553  1.78504 -1.29126  0.59255  0.20019 -0.96116  1.56960 -1.92894  1.98215 -1.72080  1.18636 -0.46364 -0.33266  1.07616 -1.64888  1.95992 -1.95992  1.64888 -1.07616  0.33266  0.46364 -1.18636  1.72080 -1.98215  1.92894 -1.56960  0.96116 -0.20019 -0.59255  1.29126 -1.78504  1.99553 -1.88934  1.48330 -0.84187  0.06683  0.71882 -1.39038  1.84130 -2.00000     ... ... ..... ....... ......... ........... .............
E42 *   2.00000 -1.88934  1.56960 -1.07616  0.46364  0.20019 -0.84187  1.39038 -1.78504  1.98215 -1.95992  1.72080 -1.29126  0.71882 -0.06683 -0.59255  1.18636 -1.64888  1.92894 -1.99553  1.84130 -1.48330  0.96116 -0.33266 -0.33266  0.96116 -1.48330  1.84130 -1.99553  1.92894 -1.64888  1.18636 -0.59255 -0.06683  0.71882 -1.29126  1.72080 -1.95992  1.98215 -1.78504  1.39038 -0.84187  0.20019  0.46364 -1.07616  1.56960 -1.88934  2.00000     ... ... ..... ....... ......... ........... .............
E43 *   2.00000 -1.92894  1.72080 -1.39038  0.96116 -0.46364 -0.06683  0.59255 -1.07616  1.48330 -1.78504  1.95992 -1.99553  1.88934 -1.64888  1.29126 -0.84187  0.33266  0.20019 -0.71882  1.18636 -1.56960  1.84130 -1.98215  1.98215 -1.84130  1.56960 -1.18636  0.71882 -0.20019 -0.33266  0.84187 -1.29126  1.64888 -1.88934  1.99553 -1.95992  1.78504 -1.48330  1.07616 -0.59255  0.06683  0.46364 -0.96116  1.39038 -1.72080  1.92894 -2.00000     ... ... ..... ....... ......... ........... .............
E44 *   2.00000 -1.95992  1.84130 -1.64888  1.39038 -1.07616  0.71882 -0.33266 -0.06683  0.46364 -0.84187  1.18636 -1.48330  1.72080 -1.88934  1.98215 -1.99553  1.92894 -1.78504  1.56960 -1.29126  0.96116 -0.59255  0.20019  0.20019 -0.59255  0.96116 -1.29126  1.56960 -1.78504  1.92894 -1.99553  1.98215 -1.88934  1.72080 -1.48330  1.18636 -0.84187  0.46364 -0.06683 -0.33266  0.71882 -1.07616  1.39038 -1.64888  1.84130 -1.95992  2.00000     ... ... ..... ....... ......... ........... .............
E45 *   2.00000 -1.98215  1.92894 -1.84130  1.72080 -1.56960  1.39038 -1.18636  0.96116 -0.71882  0.46364 -0.20019 -0.06683  0.33266 -0.59255  0.84187 -1.07616  1.29126 -1.48330  1.64888 -1.78504  1.88934 -1.95992  1.99553 -1.99553  1.95992 -1.88934  1.78504 -1.64888  1.48330 -1.29126  1.07616 -0.84187  0.59255 -0.33266  0.06683  0.20019 -0.46364  0.71882 -0.96116  1.18636 -1.39038  1.56960 -1.72080  1.84130 -1.92894  1.98215 -2.00000     ... ... ..... ....... ......... ........... .............
E46 *   2.00000 -1.99553  1.98215 -1.95992  1.92894 -1.88934  1.84130 -1.78504  1.72080 -1.64888  1.56960 -1.48330  1.39038 -1.29126  1.18636 -1.07616  0.96116 -0.84187  0.71882 -0.59255  0.46364 -0.33266  0.20019 -0.06683 -0.06683  0.20019 -0.33266  0.46364 -0.59255  0.71882 -0.84187  0.96116 -1.07616  1.18636 -1.29126  1.39038 -1.48330  1.56960 -1.64888  1.72080 -1.78504  1.84130 -1.88934  1.92894 -1.95992  1.98215 -1.99553  2.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.995533757246 = 2*cos(2*π/94) = 2*cos(π/47)
                               1.982154976310 = 2*cos(4*π/94) = 2*cos(2*π/47)
                               1.959923410073 = 2*cos(6*π/94) = 2*cos(3*π/47)
                               1.928938350109 = 2*cos(8*π/94) = 2*cos(4*π/47)
                               1.889338183216 = 2*cos(10*π/94) = 2*cos(5*π/47)
                               1.841299773353 = 2*cos(12*π/94) = 2*cos(6*π/47)
                               1.785037671720 = 2*cos(14*π/94) = 2*cos(7*π/47)
                               1.720803158520 = 2*cos(16*π/94) = 2*cos(8*π/47)
                               1.648883120683 = 2*cos(18*π/94) = 2*cos(9*π/47)
                               1.569598770557 = 2*cos(20*π/94) = 2*cos(10*π/47)
                               1.483304211296 = 2*cos(22*π/94) = 2*cos(11*π/47)
                               1.390384855349 = 2*cos(24*π/94) = 2*cos(12*π/47)
                               1.291255703118 = 2*cos(26*π/94) = 2*cos(13*π/47)
                               1.186359489459 = 2*cos(28*π/94) = 2*cos(14*π/47)
                               1.076164706327 = 2*cos(30*π/94) = 2*cos(15*π/47)
                               0.961163510373 = 2*cos(32*π/94) = 2*cos(16*π/47)
                               0.841869524857 = 2*cos(34*π/94) = 2*cos(17*π/47)
                               0.718815545675 = 2*cos(36*π/94) = 2*cos(18*π/47)
                               0.592551161771 = 2*cos(38*π/94) = 2*cos(19*π/47)
                               0.463640300535 = 2*cos(40*π/94) = 2*cos(20*π/47)
                               0.332658709166 = 2*cos(42*π/94) = 2*cos(21*π/47)
                               0.200191383248 = 2*cos(44*π/94) = 2*cos(22*π/47)
                               0.066829954015 = 2*cos(46*π/94) = 2*cos(23*π/47)



 Symmetry of Rotations and Cartesian products

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

 Notes:

    α  The order of the C94 point group is 94, and the order of the principal axis is 94.

    β  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The C94 group is Abelian because it contains only one symmetry element, all the powers of which necessarily commute (sufficient condition).
       In Abelian groups, all symmetry operations form a class of their own, and all irreducible representations are one-dimensional.

    γ  Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters.
       These 92 cases have been combined into 46 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 46 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    δ  The 46 reducible "E" representations almost behave like true irreducible representations.
       Their norm, however, is twice the group order. Therefore, they have been marked with an asterisk in the table.
       This is essential when trying to decompose a reducible representation into "irreducible" ones using the familiar projection formula.

    ε  The point group is chiral, as it does not contain any mirroring operation.

    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 less than half the order of the principal axis (and often much less).
       For this group, however, none of the characters can be expressed by a closed algebraic form using real numbers only.

This Character Table for the C94 point group was created by Gernot Katzer.

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