Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
27.334...376.28t165.a.a $27$ $2^{30} \cdot 7^{42}$ x9 - x8 - 4x7 + 28x3 + 26x2 + 9x + 1 $\mathrm{P}\Gamma\mathrm{L}(2,8)$ $1$ $3$