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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
528.44.1a $1$ R \(\Q\) 528.44.1a $C_{33}:\SD_{16}$ $C_1$ $1$ 1.a1.a1 $528$ 1.a1.a1
528.44.1b $1$ R \(\Q\) 528.44.1b $C_{33}:\SD_{16}$ $C_2$ $2$ 2.c1.a1 $264$ 1.a1.a1
528.44.1c $1$ R \(\Q\) 528.44.1c $C_{33}:\SD_{16}$ $C_2$ $2$ 2.b1.a1 $264$ 1.a1.a1
528.44.1d $1$ R \(\Q\) 528.44.1d $C_{33}:\SD_{16}$ $C_2$ $2$ 2.a1.a1 $264$ 1.a1.a1
528.44.1e1 $1$ C \(\Q(\sqrt{-3}) \) 528.44.1e $C_{33}:\SD_{16}$ $C_3$ $3$ 3.a1.a1 $176$ 1.a1.a1
528.44.1e2 $1$ C \(\Q(\sqrt{-3}) \) 528.44.1e $C_{33}:\SD_{16}$ $C_3$ $3$ 3.a1.a1 $176$ 1.a1.a1
528.44.1f1 $1$ C \(\Q(\sqrt{-3}) \) 528.44.1f $C_{33}:\SD_{16}$ $C_6$ $6$ 6.c1.a1 $88$ 1.a1.a1
528.44.1f2 $1$ C \(\Q(\sqrt{-3}) \) 528.44.1f $C_{33}:\SD_{16}$ $C_6$ $6$ 6.c1.a1 $88$ 1.a1.a1
528.44.1g1 $1$ C \(\Q(\sqrt{-3}) \) 528.44.1g $C_{33}:\SD_{16}$ $C_6$ $6$ 6.b1.a1 $88$ 1.a1.a1
528.44.1g2 $1$ C \(\Q(\sqrt{-3}) \) 528.44.1g $C_{33}:\SD_{16}$ $C_6$ $6$ 6.b1.a1 $88$ 1.a1.a1
528.44.1h1 $1$ C \(\Q(\sqrt{-3}) \) 528.44.1h $C_{33}:\SD_{16}$ $C_6$ $6$ 6.a1.a1 $88$ 1.a1.a1
528.44.1h2 $1$ C \(\Q(\sqrt{-3}) \) 528.44.1h $C_{33}:\SD_{16}$ $C_6$ $6$ 6.a1.a1 $88$ 1.a1.a1
528.44.2a $2$ R \(\Q\) 528.44.2a $C_{33}:\SD_{16}$ $D_4$ $8$ 8.a1.a1 $66$ 4.a1.a1
528.44.2b1 $2$ C \(\Q(\sqrt{-2}) \) 528.44.2b $C_{33}:\SD_{16}$ $\SD_{16}$ $16$ 16.a1.a1 $33$ 8.a1.a1
528.44.2b2 $2$ C \(\Q(\sqrt{-2}) \) 528.44.2b $C_{33}:\SD_{16}$ $\SD_{16}$ $16$ 16.a1.a1 $33$ 8.a1.a1
528.44.2c1 $2$ C \(\Q(\sqrt{-3}) \) 528.44.2c $C_{33}:\SD_{16}$ $C_3\times D_4$ $24$ 24.a1.a1 $22$ 4.a1.a1
528.44.2c2 $2$ C \(\Q(\sqrt{-3}) \) 528.44.2c $C_{33}:\SD_{16}$ $C_3\times D_4$ $24$ 24.a1.a1 $22$ 4.a1.a1
528.44.2d1 $2$ C \(\Q(\sqrt{-2}, \sqrt{-3})\) 528.44.2d $C_{33}:\SD_{16}$ $C_3\times \SD_{16}$ $48$ 48.a1.a1 $11$ 8.a1.a1
528.44.2d2 $2$ C \(\Q(\sqrt{-2}, \sqrt{-3})\) 528.44.2d $C_{33}:\SD_{16}$ $C_3\times \SD_{16}$ $48$ 48.a1.a1 $11$ 8.a1.a1
528.44.2d3 $2$ C \(\Q(\sqrt{-2}, \sqrt{-3})\) 528.44.2d $C_{33}:\SD_{16}$ $C_3\times \SD_{16}$ $48$ 48.a1.a1 $11$ 8.a1.a1
528.44.2d4 $2$ C \(\Q(\sqrt{-2}, \sqrt{-3})\) 528.44.2d $C_{33}:\SD_{16}$ $C_3\times \SD_{16}$ $48$ 48.a1.a1 $11$ 8.a1.a1
528.44.2e1 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2e $C_{33}:\SD_{16}$ $D_{11}$ $22$ 22.a1.a1 $24$ 22.a1.a1
528.44.2e2 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2e $C_{33}:\SD_{16}$ $D_{11}$ $22$ 22.a1.a1 $24$ 22.a1.a1
528.44.2e3 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2e $C_{33}:\SD_{16}$ $D_{11}$ $22$ 22.a1.a1 $24$ 22.a1.a1
528.44.2e4 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2e $C_{33}:\SD_{16}$ $D_{11}$ $22$ 22.a1.a1 $24$ 22.a1.a1
528.44.2e5 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2e $C_{33}:\SD_{16}$ $D_{11}$ $22$ 22.a1.a1 $24$ 22.a1.a1
528.44.2f1 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2f $C_{33}:\SD_{16}$ $D_{22}$ $44$ 44.a1.a1 $12$ 22.a1.a1
528.44.2f2 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2f $C_{33}:\SD_{16}$ $D_{22}$ $44$ 44.a1.a1 $12$ 22.a1.a1
528.44.2f3 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2f $C_{33}:\SD_{16}$ $D_{22}$ $44$ 44.a1.a1 $12$ 22.a1.a1
528.44.2f4 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2f $C_{33}:\SD_{16}$ $D_{22}$ $44$ 44.a1.a1 $12$ 22.a1.a1
528.44.2f5 $2$ R \(\Q(\zeta_{11})^+\) 528.44.2f $C_{33}:\SD_{16}$ $D_{22}$ $44$ 44.a1.a1 $12$ 22.a1.a1
528.44.2g1 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g10 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g2 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g3 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g4 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g5 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g6 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g7 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g8 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2g9 $2$ C 10.0.52089208083.1 528.44.2g $C_{33}:\SD_{16}$ $C_3\times D_{11}$ $66$ 66.a1.a1 $8$ 22.a1.a1
528.44.2h1 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
528.44.2h10 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
528.44.2h2 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
528.44.2h3 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
528.44.2h4 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
528.44.2h5 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
528.44.2h6 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
528.44.2h7 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
528.44.2h8 $2$ C \(\Q(\zeta_{11})\) 528.44.2h $C_{33}:\SD_{16}$ $C_{11}:D_4$ $88$ 88.a1.a1 $6$ 44.a1.a1
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