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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
3849120.a.1a $1$ R \(\Q\) 3849120.a.1a $C_3^5:(C_2\times M_{11})$ $C_1$ $1$ 1.a1 $3849120$ 1.a1
3849120.a.1b $1$ R \(\Q\) 3849120.a.1b $C_3^5:(C_2\times M_{11})$ $C_2$ $2$ 2.a1 $1924560$ 1.a1
3849120.a.10a $10$ R \(\Q\) 3849120.a.10a $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.10b $10$ R \(\Q\) 3849120.a.10b $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.10c1 $10$ C \(\Q(\sqrt{-2}) \) 3849120.a.10c $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.10c2 $10$ C \(\Q(\sqrt{-2}) \) 3849120.a.10c $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.10d1 $10$ C \(\Q(\sqrt{-2}) \) 3849120.a.10d $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.10d2 $10$ C \(\Q(\sqrt{-2}) \) 3849120.a.10d $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.11a $11$ R \(\Q\) 3849120.a.11a $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.11b $11$ R \(\Q\) 3849120.a.11b $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.16a1 $16$ C \(\Q(\sqrt{-11}) \) 3849120.a.16a $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.16a2 $16$ C \(\Q(\sqrt{-11}) \) 3849120.a.16a $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.16b1 $16$ C \(\Q(\sqrt{-11}) \) 3849120.a.16b $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.16b2 $16$ C \(\Q(\sqrt{-11}) \) 3849120.a.16b $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.22a $22$ R \(\Q\) 3849120.a.22a $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.22b $22$ R \(\Q\) 3849120.a.22b $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.44a $44$ R \(\Q\) 3849120.a.44a $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.44b $44$ R \(\Q\) 3849120.a.44b $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.45a $45$ R \(\Q\) 3849120.a.45a $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.45b $45$ R \(\Q\) 3849120.a.45b $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.55a $55$ R \(\Q\) 3849120.a.55a $C_3^5:(C_2\times M_{11})$ $C_2\times M_{11}$ $15840$ 15840.a1 $243$ 7920.a1
3849120.a.55b $55$ R \(\Q\) 3849120.a.55b $C_3^5:(C_2\times M_{11})$ $M_{11}$ $7920$ 7920.a1 $486$ 7920.a1
3849120.a.198a $198$ R \(\Q\) 3849120.a.198a $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.198b $198$ R \(\Q\) 3849120.a.198b $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.220a $220$ R \(\Q\) 3849120.a.220a $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.220b $220$ R \(\Q\) 3849120.a.220b $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.220c $220$ R \(\Q\) 3849120.a.220c $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.220d $220$ R \(\Q\) 3849120.a.220d $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.220e $220$ R \(\Q\) 3849120.a.220e $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.220f1 $220$ C \(\Q(\sqrt{-2}) \) 3849120.a.220f $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.220f2 $220$ C \(\Q(\sqrt{-2}) \) 3849120.a.220f $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.352a $352$ R \(\Q\) 3849120.a.352a $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.440a $440$ R \(\Q\) 3849120.a.440a $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.880a $880$ R \(\Q\) 3849120.a.880a $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.880b $880$ R \(\Q\) 3849120.a.880b $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.880c $880$ R \(\Q\) 3849120.a.880c $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
3849120.a.880d $880$ R \(\Q\) 3849120.a.880d $C_3^5:(C_2\times M_{11})$ $C_3^5:(C_2\times M_{11})$ $3849120$ 3849120.a1 $1$ 3849120.a1
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