Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
44.216...000.55.a.a $44$ $2^{90} \cdot 3^{38} \cdot 5^{86}$ x11 - 2x10 - 5x9 - 50x8 + 70x7 + 232x6 + 796x5 - 1400x4 - 5075x3 - 10950x2 + 2805x + 90 $M_{11}$ $1$ $4$