| \(D^0\) | EAZ & character of irrep | |
| A | \(\left(0,0,\frac{1}{2}\right)\) | \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{4_{001},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{4^-{}_{001},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{2_{001}\right\} \\ \text{A}_1 & \text{A} & 1 & (-1)^{3/4} & -\sqrt[4]{-1} &\mathrm{i}\\ \text{A}_2 & \text{A} & 1 & \sqrt[4]{-1} & -(-1)^{3/4} & -\mathrm{i} \\ \text{A}_3 & \text{A} & 1 & -\sqrt[4]{-1} & (-1)^{3/4} & -\mathrm{i} \\ \text{A}_4 & \text{A} & 1 & -(-1)^{3/4} & \sqrt[4]{-1} &\mathrm{i}\\ \end{array} \right)\) |
| B | \(\left(\frac{1}{2},0,\frac{1}{2}\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001}\right\} \\ \text{B}_1 & \text{A} & 1 & -\mathrm{i} \\ \text{B}_2 & \text{A} & 1 &\mathrm{i}\\ \end{array} \right)\) |
| C | \(\left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)\) | \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{4_{001},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{4^-{}_{001},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{2_{001}\right\} \\ \text{C}_1 & \text{A} & 1 & (-1)^{3/4} & -\sqrt[4]{-1} &\mathrm{i}\\ \text{C}_2 & \text{A} & 1 & \sqrt[4]{-1} & -(-1)^{3/4} & -\mathrm{i} \\ \text{C}_3 & \text{A} & 1 & -\sqrt[4]{-1} & (-1)^{3/4} & -\mathrm{i} \\ \text{C}_4 & \text{A} & 1 & -(-1)^{3/4} & \sqrt[4]{-1} &\mathrm{i}\\ \end{array} \right)\) |
| \(D^1\) | EAZ & character of irrep | |
| \(a\) | \(\left(\frac{t}{2},0,\frac{1}{2}\right)\) | \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ a_1 & \text{AII} & 1 \\ \end{array} \right)\) |
| \(b\) | \(\left(\frac{1}{2},\frac{t}{2},\frac{1}{2}\right)\) | \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ b_1 & \text{AII} & 1 \\ \end{array} \right)\) |
| \(c\) | \(\left(0,0,t-\frac{1}{2}\right)\) | \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{4_{001},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{4^-{}_{001},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{2_{001}\right\} \\ c_1 & \text{A} & 1 & -(-1)^{3/4} e^{-\mathrm{i} \pi t} & \sqrt[4]{-1} e^{-\mathrm{i} \pi t} &\mathrm{i}\\ c_2 & \text{A} & 1 & -\sqrt[4]{-1} e^{-\mathrm{i} \pi t} & (-1)^{3/4} e^{-\mathrm{i} \pi t} & -\mathrm{i} \\ c_3 & \text{A} & 1 & \sqrt[4]{-1} e^{-\mathrm{i} \pi t} & -(-1)^{3/4} e^{-\mathrm{i} \pi t} & -\mathrm{i} \\ c_4 & \text{A} & 1 & (-1)^{3/4} e^{-\mathrm{i} \pi t} & -\sqrt[4]{-1} e^{-\mathrm{i} \pi t} &\mathrm{i}\\ \end{array} \right)\) |
| \(d\) | \(\left(\frac{1}{2},0,t-\frac{1}{2}\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001}\right\} \\ d_1 & \text{A} & 1 & -\mathrm{i} \\ d_2 & \text{A} & 1 &\mathrm{i}\\ \end{array} \right)\) |
| \(e\) | \(\left(\frac{1}{2},\frac{1}{2},t-\frac{1}{2}\right)\) | \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{4_{001},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{4^-{}_{001},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{2_{001}\right\} \\ e_1 & \text{A} & 1 & -(-1)^{3/4} e^{-\mathrm{i} \pi t} & \sqrt[4]{-1} e^{-\mathrm{i} \pi t} &\mathrm{i}\\ e_2 & \text{A} & 1 & -\sqrt[4]{-1} e^{-\mathrm{i} \pi t} & (-1)^{3/4} e^{-\mathrm{i} \pi t} & -\mathrm{i} \\ e_3 & \text{A} & 1 & \sqrt[4]{-1} e^{-\mathrm{i} \pi t} & -(-1)^{3/4} e^{-\mathrm{i} \pi t} & -\mathrm{i} \\ e_4 & \text{A} & 1 & (-1)^{3/4} e^{-\mathrm{i} \pi t} & -\sqrt[4]{-1} e^{-\mathrm{i} \pi t} &\mathrm{i}\\ \end{array} \right)\) |