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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
3993.6.1a $1$ R \(\Q\) 3993.6.1a $C_{11}\wr C_3$ $C_1$ $1$ 1.a1.a1 $3993$ 1.a1.a1
3993.6.1b1 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1b $C_{11}\wr C_3$ $C_3$ $3$ 3.a1.a1 $1331$ 1.a1.a1
3993.6.1b2 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1b $C_{11}\wr C_3$ $C_3$ $3$ 3.a1.a1 $1331$ 1.a1.a1
3993.6.1c1 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c10 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c2 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c3 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c4 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c5 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c6 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c7 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c8 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1c9 $1$ C \(\Q(\zeta_{11})\) 3993.6.1c $C_{11}\wr C_3$ $C_{11}$ $11$ 11.a1.a1 $363$ 1.a1.a1
3993.6.1d1 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d10 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d11 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d12 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d13 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d14 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d15 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d16 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d17 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d18 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d19 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d2 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d20 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d3 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d4 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d5 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d6 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d7 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d8 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.1d9 $1$ C \(\Q(\sqrt{-3}) \) 3993.6.1d $C_{11}\wr C_3$ $C_{33}$ $33$ 33.a1.a1 $121$ 1.a1.a1
3993.6.3a1 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a10 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a2 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a3 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a4 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a5 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a6 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a7 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a8 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3a9 $3$ C \(\Q(\zeta_{11})\) 3993.6.3a $C_{11}\wr C_3$ $C_{11}^2:C_3$ $363$ 363.a1.a1 $11$ 363.a1.a1
3993.6.3aa1 $3$ C \(\Q(\zeta_{11})\) 3993.6.3aa $C_{11}\wr C_3$ $C_{11}\wr C_3$ $3993$ 3993.a1.a1 $1$ 363.a1.a1
3993.6.3aa10 $3$ C \(\Q(\zeta_{11})\) 3993.6.3aa $C_{11}\wr C_3$ $C_{11}\wr C_3$ $3993$ 3993.a1.a1 $1$ 363.a1.a1
3993.6.3aa2 $3$ C \(\Q(\zeta_{11})\) 3993.6.3aa $C_{11}\wr C_3$ $C_{11}\wr C_3$ $3993$ 3993.a1.a1 $1$ 363.a1.a1
3993.6.3aa3 $3$ C \(\Q(\zeta_{11})\) 3993.6.3aa $C_{11}\wr C_3$ $C_{11}\wr C_3$ $3993$ 3993.a1.a1 $1$ 363.a1.a1
3993.6.3aa4 $3$ C \(\Q(\zeta_{11})\) 3993.6.3aa $C_{11}\wr C_3$ $C_{11}\wr C_3$ $3993$ 3993.a1.a1 $1$ 363.a1.a1
3993.6.3aa5 $3$ C \(\Q(\zeta_{11})\) 3993.6.3aa $C_{11}\wr C_3$ $C_{11}\wr C_3$ $3993$ 3993.a1.a1 $1$ 363.a1.a1
3993.6.3aa6 $3$ C \(\Q(\zeta_{11})\) 3993.6.3aa $C_{11}\wr C_3$ $C_{11}\wr C_3$ $3993$ 3993.a1.a1 $1$ 363.a1.a1
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