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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
4.1.1a $1$ R \(\Q\) 4.1.1a $C_4$ $C_1$ $1$ 1.a1.a1 $4$ 1.a1.a1
4.1.1b $1$ R \(\Q\) 4.1.1b $C_4$ $C_2$ $2$ 2.a1.a1 $2$ 1.a1.a1
4.1.1c1 $1$ C \(\Q(\sqrt{-1}) \) 4.1.1c $C_4$ $C_4$ $4$ 4.a1.a1 $1$ 1.a1.a1
4.1.1c2 $1$ C \(\Q(\sqrt{-1}) \) 4.1.1c $C_4$ $C_4$ $4$ 4.a1.a1 $1$ 1.a1.a1
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