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Degree Type Faithful Conductor
Group Image Image Order (Kernel Index) Kernel Order
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Results (19 matches)

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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
64.54.1a $1$ R \(\Q\) 64.54.1a $Q_{64}$ $C_1$ $1$ 1.a1.a1 $64$ 1.a1.a1
64.54.1b $1$ R \(\Q\) 64.54.1b $Q_{64}$ $C_2$ $2$ 2.b1.a1 $32$ 1.a1.a1
64.54.1c $1$ R \(\Q\) 64.54.1c $Q_{64}$ $C_2$ $2$ 2.a1.b1 $32$ 1.a1.a1
64.54.1d $1$ R \(\Q\) 64.54.1d $Q_{64}$ $C_2$ $2$ 2.a1.a1 $32$ 1.a1.a1
64.54.2a $2$ R \(\Q\) 64.54.2a $Q_{64}$ $D_4$ $8$ 8.a1.a1 $8$ 4.a1.a1
64.54.2b1 $2$ R \(\Q(\sqrt{2}) \) 64.54.2b $Q_{64}$ $D_8$ $16$ 16.a1.a1 $4$ 8.a1.a1
64.54.2b2 $2$ R \(\Q(\sqrt{2}) \) 64.54.2b $Q_{64}$ $D_8$ $16$ 16.a1.a1 $4$ 8.a1.a1
64.54.2c1 $2$ R \(\Q(\zeta_{16})^+\) 64.54.2c $Q_{64}$ $D_{16}$ $32$ 32.a1.a1 $2$ 16.a1.a1
64.54.2c2 $2$ R \(\Q(\zeta_{16})^+\) 64.54.2c $Q_{64}$ $D_{16}$ $32$ 32.a1.a1 $2$ 16.a1.a1
64.54.2c3 $2$ R \(\Q(\zeta_{16})^+\) 64.54.2c $Q_{64}$ $D_{16}$ $32$ 32.a1.a1 $2$ 16.a1.a1
64.54.2c4 $2$ R \(\Q(\zeta_{16})^+\) 64.54.2c $Q_{64}$ $D_{16}$ $32$ 32.a1.a1 $2$ 16.a1.a1
64.54.2d1 $2$ S ✓ \(\Q(\zeta_{32})^+\) 64.54.2d $Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $1$ 32.a1.a1
64.54.2d2 $2$ S ✓ \(\Q(\zeta_{32})^+\) 64.54.2d $Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $1$ 32.a1.a1
64.54.2d3 $2$ S ✓ \(\Q(\zeta_{32})^+\) 64.54.2d $Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $1$ 32.a1.a1
64.54.2d4 $2$ S ✓ \(\Q(\zeta_{32})^+\) 64.54.2d $Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $1$ 32.a1.a1
64.54.2d5 $2$ S ✓ \(\Q(\zeta_{32})^+\) 64.54.2d $Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $1$ 32.a1.a1
64.54.2d6 $2$ S ✓ \(\Q(\zeta_{32})^+\) 64.54.2d $Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $1$ 32.a1.a1
64.54.2d7 $2$ S ✓ \(\Q(\zeta_{32})^+\) 64.54.2d $Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $1$ 32.a1.a1
64.54.2d8 $2$ S ✓ \(\Q(\zeta_{32})^+\) 64.54.2d $Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $1$ 32.a1.a1
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