Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{6c}}&{}\approx{}&1.207106781187&{}:{}&0.500000000000&{}:{}&-0.707106781187&,\\B^\prime_{\mathbf{6c}}&{}\approx{}&0.500000000000&{}:{}&1.207106781187&{}:{}&-0.707106781187&,\\C^\prime_{\mathbf{6c}}&{}\approx{}&0.359347716164&{}:{}&0.359347716164&{}:{}&0.281304567672&,
\\
A^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.418163345762&{}:{}&0.713849483194&{}:{}&-0.132012828956&,\\B^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.713849483194&{}:{}&0.418163345762&{}:{}&-0.132012828956&,\\C^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.853553390593&{}:{}&0.853553390593&{}:{}&-0.707106781187&,
\\
A^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.238263524168&{}:{}&0.575219031465&{}:{}&0.186517444367&,\\B^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.575219031465&{}:{}&0.238263524168&{}:{}&0.186517444367&,\\C^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.707106781187&{}:{}&0.707106781187&{}:{}&-0.414213562373&,
\\
A^*_{\mathbf{6c}}&{}\approx{}&0.000000000000&{}:{}&0.783227248675&{}:{}&0.216772751325&,\\B^*_{\mathbf{6c}}&{}\approx{}&0.783227248675&{}:{}&0.000000000000&{}:{}&0.216772751325&,\\C^*_{\mathbf{6c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]