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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
476.4.1a $1$ R \(\Q\) 476.4.1a $C_{476}$ $C_1$ $1$ 1.a1.a1 $476$ 1.a1.a1
476.4.1b $1$ R \(\Q\) 476.4.1b $C_{476}$ $C_2$ $2$ 2.a1.a1 $238$ 1.a1.a1
476.4.1c1 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1c $C_{476}$ $C_4$ $4$ 4.a1.a1 $119$ 1.a1.a1
476.4.1c2 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1c $C_{476}$ $C_4$ $4$ 4.a1.a1 $119$ 1.a1.a1
476.4.1d1 $1$ C \(\Q(\zeta_{7})\) 476.4.1d $C_{476}$ $C_7$ $7$ 7.a1.a1 $68$ 1.a1.a1
476.4.1d2 $1$ C \(\Q(\zeta_{7})\) 476.4.1d $C_{476}$ $C_7$ $7$ 7.a1.a1 $68$ 1.a1.a1
476.4.1d3 $1$ C \(\Q(\zeta_{7})\) 476.4.1d $C_{476}$ $C_7$ $7$ 7.a1.a1 $68$ 1.a1.a1
476.4.1d4 $1$ C \(\Q(\zeta_{7})\) 476.4.1d $C_{476}$ $C_7$ $7$ 7.a1.a1 $68$ 1.a1.a1
476.4.1d5 $1$ C \(\Q(\zeta_{7})\) 476.4.1d $C_{476}$ $C_7$ $7$ 7.a1.a1 $68$ 1.a1.a1
476.4.1d6 $1$ C \(\Q(\zeta_{7})\) 476.4.1d $C_{476}$ $C_7$ $7$ 7.a1.a1 $68$ 1.a1.a1
476.4.1e1 $1$ C \(\Q(\zeta_{7})\) 476.4.1e $C_{476}$ $C_{14}$ $14$ 14.a1.a1 $34$ 1.a1.a1
476.4.1e2 $1$ C \(\Q(\zeta_{7})\) 476.4.1e $C_{476}$ $C_{14}$ $14$ 14.a1.a1 $34$ 1.a1.a1
476.4.1e3 $1$ C \(\Q(\zeta_{7})\) 476.4.1e $C_{476}$ $C_{14}$ $14$ 14.a1.a1 $34$ 1.a1.a1
476.4.1e4 $1$ C \(\Q(\zeta_{7})\) 476.4.1e $C_{476}$ $C_{14}$ $14$ 14.a1.a1 $34$ 1.a1.a1
476.4.1e5 $1$ C \(\Q(\zeta_{7})\) 476.4.1e $C_{476}$ $C_{14}$ $14$ 14.a1.a1 $34$ 1.a1.a1
476.4.1e6 $1$ C \(\Q(\zeta_{7})\) 476.4.1e $C_{476}$ $C_{14}$ $14$ 14.a1.a1 $34$ 1.a1.a1
476.4.1f1 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f10 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f11 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f12 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f2 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f3 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f4 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f5 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f6 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f7 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f8 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1f9 $1$ C \(\Q(\sqrt{-1}) \) 476.4.1f $C_{476}$ $C_{28}$ $28$ 28.a1.a1 $17$ 1.a1.a1
476.4.1g1 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g10 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g11 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g12 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g13 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g14 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g15 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g16 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g2 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g3 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g4 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g5 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g6 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g7 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g8 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1g9 $1$ C \(\Q(\zeta_{17})\) 476.4.1g $C_{476}$ $C_{17}$ $17$ 17.a1.a1 $28$ 1.a1.a1
476.4.1h1 $1$ C \(\Q(\zeta_{17})\) 476.4.1h $C_{476}$ $C_{34}$ $34$ 34.a1.a1 $14$ 1.a1.a1
476.4.1h10 $1$ C \(\Q(\zeta_{17})\) 476.4.1h $C_{476}$ $C_{34}$ $34$ 34.a1.a1 $14$ 1.a1.a1
476.4.1h11 $1$ C \(\Q(\zeta_{17})\) 476.4.1h $C_{476}$ $C_{34}$ $34$ 34.a1.a1 $14$ 1.a1.a1
476.4.1h12 $1$ C \(\Q(\zeta_{17})\) 476.4.1h $C_{476}$ $C_{34}$ $34$ 34.a1.a1 $14$ 1.a1.a1
476.4.1h13 $1$ C \(\Q(\zeta_{17})\) 476.4.1h $C_{476}$ $C_{34}$ $34$ 34.a1.a1 $14$ 1.a1.a1
476.4.1h14 $1$ C \(\Q(\zeta_{17})\) 476.4.1h $C_{476}$ $C_{34}$ $34$ 34.a1.a1 $14$ 1.a1.a1
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