| \(D^0\) | EAZ & character of irrep | |
| A | \(\left(0,0,0\right)\) | \(\left( \begin{array}{cccccccccccccc} \text{} & \text{EAZ} & \{1\} & \left\{3_{001}\right\} & \left\{3^-{}_{001}\right\} & \left\{2_{100}\right\} & \left\{2_{\text{10-1}}\right\} & \left\{2_{\text{01-1}}\right\} & \left\{\bar{1}\right\} & \left\{\bar{3}_{001}\right\} & \left\{\bar{3}^-{}_{001}\right\} & \left\{m_{100}\right\} & \left\{m_{\text{10-1}}\right\} & \left\{m_{\text{01-1}}\right\} \\ \text{A}_1 & \text{A} & 1 & -1 & 1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}& -1 & 1 & -1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} \\ \text{A}_2 & \text{A} & 1 & -1 & 1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}& 1 & -1 & 1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}\\ \text{A}_3 & \text{A} & 1 & -1 & 1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} & -1 & 1 & -1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}\\ \text{A}_4 & \text{A} & 1 & -1 & 1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} & 1 & -1 & 1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} \\ \text{A}_5 & \text{AI} & 2 & 1 & -1 & 0 & 0 & 0 & -2 & -1 & 1 & 0 & 0 & 0 \\ \text{A}_6 & \text{AI} & 2 & 1 & -1 & 0 & 0 & 0 & 2 & 1 & -1 & 0 & 0 & 0 \\ \end{array} \right)\) |
| B | \(\left(0,0,\frac{3}{2}\right)\) | \(\left( \begin{array}{cccccccccccccc} \text{} & \text{EAZ} & \{1\} & \left\{3_{001}\right\} & \left\{3^-{}_{001}\right\} & \left\{2_{100}\right\} & \left\{2_{\text{10-1}}\right\} & \left\{2_{\text{01-1}}\right\} & \left\{\bar{1}\right\} & \left\{\bar{3}_{001}\right\} & \left\{\bar{3}^-{}_{001}\right\} & \left\{m_{100}\right\} & \left\{m_{\text{10-1}}\right\} & \left\{m_{\text{01-1}}\right\} \\ \text{B}_1 & \text{A} & 1 & -1 & 1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}& -1 & 1 & -1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} \\ \text{B}_2 & \text{A} & 1 & -1 & 1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}& 1 & -1 & 1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}\\ \text{B}_3 & \text{A} & 1 & -1 & 1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} & -1 & 1 & -1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}\\ \text{B}_4 & \text{A} & 1 & -1 & 1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} & 1 & -1 & 1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} \\ \text{B}_5 & \text{AI} & 2 & 1 & -1 & 0 & 0 & 0 & -2 & -1 & 1 & 0 & 0 & 0 \\ \text{B}_6 & \text{AI} & 2 & 1 & -1 & 0 & 0 & 0 & 2 & 1 & -1 & 0 & 0 & 0 \\ \end{array} \right)\) |
| C | \(\left(\frac{1}{2},\frac{1}{2 \sqrt{3}},\frac{1}{2}\right)\) | \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{\text{01-1}}\right\} & \left\{\bar{1}\right\} & \left\{m_{\text{01-1}}\right\} \\ \text{C}_1 & \text{A} & 1 & -\mathrm{i} & -1 &\mathrm{i}\\ \text{C}_2 & \text{A} & 1 & -\mathrm{i} & 1 & -\mathrm{i} \\ \text{C}_3 & \text{A} & 1 &\mathrm{i}& -1 & -\mathrm{i} \\ \text{C}_4 & \text{A} & 1 &\mathrm{i}& 1 &\mathrm{i}\\ \end{array} \right)\) |
| D | \(\left(0,\frac{1}{\sqrt{3}},1\right)\) | \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{\bar{1}\right\} & \left\{m_{100}\right\} \\ \text{D}_1 & \text{A} & 1 & -\mathrm{i} & -1 &\mathrm{i}\\ \text{D}_2 & \text{A} & 1 & -\mathrm{i} & 1 & -\mathrm{i} \\ \text{D}_3 & \text{A} & 1 &\mathrm{i}& -1 & -\mathrm{i} \\ \text{D}_4 & \text{A} & 1 &\mathrm{i}& 1 &\mathrm{i}\\ \end{array} \right)\) |
| \(D^1\) | EAZ & character of irrep | |
| \(a\) | \(\left(0,0,\frac{3 t}{2}\right)\) | \(\left( \begin{array}{cccccccc} \text{} & \text{EAZ} & \{1\} & \left\{3_{001}\right\} & \left\{3^-{}_{001}\right\} & \left\{m_{100}\right\} & \left\{m_{\text{10-1}}\right\} & \left\{m_{\text{01-1}}\right\} \\ a_1 & \text{AIII} & 1 & -1 & 1 & -\mathrm{i} &\mathrm{i}&\mathrm{i}\\ a_2 & \text{AIII} & 1 & -1 & 1 &\mathrm{i}& -\mathrm{i} & -\mathrm{i} \\ a_3 & \text{BDI} & 2 & 1 & -1 & 0 & 0 & 0 \\ \end{array} \right)\) |
| \(b\) | \(\left(0,\frac{t}{\sqrt{3}},\frac{3-t}{2}\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{100}\right\} \\ b_1 & \text{AIII} & 1 & -\mathrm{i} \\ b_2 & \text{AIII} & 1 &\mathrm{i}\\ \end{array} \right)\) |
| \(c\) | \(\left(\frac{t}{2},\frac{t}{2 \sqrt{3}},\frac{3}{2}-t\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{\text{01-1}}\right\} \\ c_1 & \text{AIII} & 1 & -\mathrm{i} \\ c_2 & \text{AIII} & 1 &\mathrm{i}\\ \end{array} \right)\) |
| \(d\) | \(\left(0,\frac{2 t}{\sqrt{3}},\frac{t}{2}\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{100}\right\} \\ d_1 & \text{AIII} & 1 & -\mathrm{i} \\ d_2 & \text{AIII} & 1 &\mathrm{i}\\ \end{array} \right)\) |
| \(e\) | \(\left(\frac{t}{2},\frac{\sqrt{3} t}{2},0\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{\text{10-1}}\right\} \\ e_1 & \text{C} & 1 & -\mathrm{i} \\ e_2 & \text{C} & 1 &\mathrm{i}\\ \end{array} \right)\) |
| \(f\) | \(\left(\frac{1-t}{2},\frac{3 t+1}{2 \sqrt{3}},\frac{1}{2}\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{\text{01-1}}\right\} \\ f_1 & \text{C} & 1 & -\mathrm{i} \\ f_2 & \text{C} & 1 &\mathrm{i}\\ \end{array} \right)\) |