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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
15840.q.1a $1$ R \(\Q\) 15840.q.1a $C_2\times M_{11}$ $C_1$ $1$ 1.a1.a1 $15840$ 1.a1.a1
15840.q.1b $1$ R \(\Q\) 15840.q.1b $C_2\times M_{11}$ $C_2$ $2$ 2.a1.a1 $7920$ 1.a1.a1
15840.q.10a $10$ R \(\Q\) 15840.q.10a $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
15840.q.10b $10$ R \(\Q\) 15840.q.10b $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.10c1 $10$ C \(\Q(\sqrt{-2}) \) 15840.q.10c $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.10c2 $10$ C \(\Q(\sqrt{-2}) \) 15840.q.10c $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.10d1 $10$ C \(\Q(\sqrt{-2}) \) 15840.q.10d $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
15840.q.10d2 $10$ C \(\Q(\sqrt{-2}) \) 15840.q.10d $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
15840.q.11a $11$ R \(\Q\) 15840.q.11a $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
15840.q.11b $11$ R \(\Q\) 15840.q.11b $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.16a1 $16$ C \(\Q(\sqrt{-11}) \) 15840.q.16a $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
15840.q.16a2 $16$ C \(\Q(\sqrt{-11}) \) 15840.q.16a $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
15840.q.16b1 $16$ C \(\Q(\sqrt{-11}) \) 15840.q.16b $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.16b2 $16$ C \(\Q(\sqrt{-11}) \) 15840.q.16b $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.44a $44$ R \(\Q\) 15840.q.44a $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
15840.q.44b $44$ R \(\Q\) 15840.q.44b $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.45a $45$ R \(\Q\) 15840.q.45a $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.45b $45$ R \(\Q\) 15840.q.45b $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
15840.q.55a $55$ R \(\Q\) 15840.q.55a $C_2\times M_{11}$ $C_2\times M_{11}$ $15840$ 15840.a1.a1 $1$ 7920.a1.a1
15840.q.55b $55$ R \(\Q\) 15840.q.55b $C_2\times M_{11}$ $M_{11}$ $7920$ 7920.a1.a1 $2$ 7920.a1.a1
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