MSG 88.85

\(D^0\) EAZ & character of irrep
A \(\left(0,0,0\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} & \left\{\bar{4}_{001},\left\{\frac{1}{4},\frac{3}{4},\frac{3}{4}\right\}\right\} & \left\{\bar{4}^-{}_{001},\left\{\frac{3}{4},\frac{3}{4},\frac{3}{4}\right\}\right\} \\ \text{A}_1 & \text{A} & 1 & -1 & -\mathrm{i} &\mathrm{i}\\ \text{A}_2 & \text{A} & 1 & -1 &\mathrm{i}& -\mathrm{i} \\ \text{A}_3 & \text{AI} & 1 & 1 & -1 & -1 \\ \text{A}_4 & \text{AI} & 1 & 1 & 1 & 1 \\ \end{array} \right)\)
B \(\left(\frac{1}{2},\frac{1}{2},0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} \\ \text{B}_1 & \text{A} & 1 & -1 \\ \text{B}_2 & \text{A} & 1 & 1 \\ \end{array} \right)\)
C \(\left(0,0,1\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} & \left\{\bar{4}_{001},\left\{\frac{1}{4},\frac{3}{4},\frac{3}{4}\right\}\right\} & \left\{\bar{4}^-{}_{001},\left\{\frac{3}{4},\frac{3}{4},\frac{3}{4}\right\}\right\} \\ \text{C}_1 & \text{AI} & 1 & -1 & -\mathrm{i} &\mathrm{i}\\ \text{C}_2 & \text{AI} & 1 & -1 &\mathrm{i}& -\mathrm{i} \\ \text{C}_3 & \text{A} & 1 & 1 & 1 & 1 \\ \text{C}_4 & \text{A} & 1 & 1 & -1 & -1 \\ \end{array} \right)\)
D \(\left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} & \left\{\bar{4}_{001},\left\{\frac{1}{4},\frac{3}{4},\frac{3}{4}\right\}\right\} & \left\{\bar{4}^-{}_{001},\left\{\frac{3}{4},\frac{3}{4},\frac{3}{4}\right\}\right\} \\ \text{D}_1 & \text{A} & 1 & -1 & -1 & 1 \\ \text{D}_2 & \text{A} & 1 & -1 & 1 & -1 \\ \text{D}_3 & \text{A} & 1 & 1 & -\mathrm{i} & -\mathrm{i} \\ \text{D}_4 & \text{A} & 1 & 1 &\mathrm{i}&\mathrm{i}\\ \end{array} \right)\)
E \(\left(-\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} & \left\{\bar{4}_{001},\left\{\frac{1}{4},\frac{3}{4},\frac{3}{4}\right\}\right\} & \left\{\bar{4}^-{}_{001},\left\{\frac{3}{4},\frac{3}{4},\frac{3}{4}\right\}\right\} \\ \text{E}_1 & \text{A} & 1 & -1 & 1 & -1 \\ \text{E}_2 & \text{A} & 1 & -1 & -1 & 1 \\ \text{E}_3 & \text{A} & 1 & 1 & -\mathrm{i} & -\mathrm{i} \\ \text{E}_4 & \text{A} & 1 & 1 &\mathrm{i}&\mathrm{i}\\ \end{array} \right)\)
\(D^1\) EAZ & character of irrep
\(a\) \(\left(0,0,t\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} \\ a_1 & \text{AI} & 1 & -1 \\ a_2 & \text{AI} & 1 & 1 \\ \end{array} \right)\)
\(b\) \(\left(\frac{1}{2},\frac{1}{2},\frac{t}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} \\ b_1 & \text{A} & 1 & -1 \\ b_2 & \text{A} & 1 & 1 \\ \end{array} \right)\)
\(c\) \(\left(\frac{1}{2},\frac{1}{2},-\frac{t}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} \\ c_1 & \text{A} & 1 & -1 \\ c_2 & \text{A} & 1 & 1 \\ \end{array} \right)\)
\(d\) \(\left(\frac{t}{2},\frac{t}{2},1-\frac{t}{2}\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ d_1 & \text{AI} & 1 \\ \end{array} \right)\)
\(e\) \(\left(-\frac{t}{2},\frac{t}{2},1-\frac{t}{2}\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ e_1 & \text{AI} & 1 \\ \end{array} \right)\)