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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
88.4.1a $1$ R \(\Q\) 88.4.1a $C_4\times D_{11}$ $C_1$ $1$ 1.a1.a1 $88$ 1.a1.a1
88.4.1b $1$ R \(\Q\) 88.4.1b $C_4\times D_{11}$ $C_2$ $2$ 2.c1.a1 $44$ 1.a1.a1
88.4.1c $1$ R \(\Q\) 88.4.1c $C_4\times D_{11}$ $C_2$ $2$ 2.b1.a1 $44$ 1.a1.a1
88.4.1d $1$ R \(\Q\) 88.4.1d $C_4\times D_{11}$ $C_2$ $2$ 2.a1.a1 $44$ 1.a1.a1
88.4.1e1 $1$ C \(\Q(\sqrt{-1}) \) 88.4.1e $C_4\times D_{11}$ $C_4$ $4$ 4.b1.b1 $22$ 1.a1.a1
88.4.1e2 $1$ C \(\Q(\sqrt{-1}) \) 88.4.1e $C_4\times D_{11}$ $C_4$ $4$ 4.b1.b1 $22$ 1.a1.a1
88.4.1f1 $1$ C \(\Q(\sqrt{-1}) \) 88.4.1f $C_4\times D_{11}$ $C_4$ $4$ 4.b1.a1 $22$ 1.a1.a1
88.4.1f2 $1$ C \(\Q(\sqrt{-1}) \) 88.4.1f $C_4\times D_{11}$ $C_4$ $4$ 4.b1.a1 $22$ 1.a1.a1
88.4.2a1 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2a $C_4\times D_{11}$ $D_{11}$ $22$ 22.a1.a1 $4$ 22.a1.a1
88.4.2a2 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2a $C_4\times D_{11}$ $D_{11}$ $22$ 22.a1.a1 $4$ 22.a1.a1
88.4.2a3 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2a $C_4\times D_{11}$ $D_{11}$ $22$ 22.a1.a1 $4$ 22.a1.a1
88.4.2a4 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2a $C_4\times D_{11}$ $D_{11}$ $22$ 22.a1.a1 $4$ 22.a1.a1
88.4.2a5 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2a $C_4\times D_{11}$ $D_{11}$ $22$ 22.a1.a1 $4$ 22.a1.a1
88.4.2b1 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2b $C_4\times D_{11}$ $D_{22}$ $44$ 44.a1.a1 $2$ 22.a1.a1
88.4.2b2 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2b $C_4\times D_{11}$ $D_{22}$ $44$ 44.a1.a1 $2$ 22.a1.a1
88.4.2b3 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2b $C_4\times D_{11}$ $D_{22}$ $44$ 44.a1.a1 $2$ 22.a1.a1
88.4.2b4 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2b $C_4\times D_{11}$ $D_{22}$ $44$ 44.a1.a1 $2$ 22.a1.a1
88.4.2b5 $2$ R \(\Q(\zeta_{11})^+\) 88.4.2b $C_4\times D_{11}$ $D_{22}$ $44$ 44.a1.a1 $2$ 22.a1.a1
88.4.2c1 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c10 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c2 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c3 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c4 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c5 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c6 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c7 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c8 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
88.4.2c9 $2$ C 10.0.219503494144.1 88.4.2c $C_4\times D_{11}$ $C_4\times D_{11}$ $88$ 88.a1.a1 $1$ 22.a1.a1
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