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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1856.389.1a $1$ R \(\Q\) 1856.389.1a $C_{29}:Q_{64}$ $C_1$ $1$ 1.a1.a1 $1856$ 1.a1.a1
1856.389.1b $1$ R \(\Q\) 1856.389.1b $C_{29}:Q_{64}$ $C_2$ $2$ 2.c1.a1 $928$ 1.a1.a1
1856.389.1c $1$ R \(\Q\) 1856.389.1c $C_{29}:Q_{64}$ $C_2$ $2$ 2.b1.a1 $928$ 1.a1.a1
1856.389.1d $1$ R \(\Q\) 1856.389.1d $C_{29}:Q_{64}$ $C_2$ $2$ 2.a1.a1 $928$ 1.a1.a1
1856.389.2a $2$ R \(\Q\) 1856.389.2a $C_{29}:Q_{64}$ $D_4$ $8$ 8.a1.a1 $232$ 4.a1.a1
1856.389.2b1 $2$ R \(\Q(\sqrt{2}) \) 1856.389.2b $C_{29}:Q_{64}$ $D_8$ $16$ 16.a1.a1 $116$ 8.a1.a1
1856.389.2b2 $2$ R \(\Q(\sqrt{2}) \) 1856.389.2b $C_{29}:Q_{64}$ $D_8$ $16$ 16.a1.a1 $116$ 8.a1.a1
1856.389.2c1 $2$ R \(\Q(\zeta_{16})^+\) 1856.389.2c $C_{29}:Q_{64}$ $D_{16}$ $32$ 32.a1.a1 $58$ 16.a1.a1
1856.389.2c2 $2$ R \(\Q(\zeta_{16})^+\) 1856.389.2c $C_{29}:Q_{64}$ $D_{16}$ $32$ 32.a1.a1 $58$ 16.a1.a1
1856.389.2c3 $2$ R \(\Q(\zeta_{16})^+\) 1856.389.2c $C_{29}:Q_{64}$ $D_{16}$ $32$ 32.a1.a1 $58$ 16.a1.a1
1856.389.2c4 $2$ R \(\Q(\zeta_{16})^+\) 1856.389.2c $C_{29}:Q_{64}$ $D_{16}$ $32$ 32.a1.a1 $58$ 16.a1.a1
1856.389.2d1 $2$ S \(\Q(\zeta_{32})^+\) 1856.389.2d $C_{29}:Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $29$ 32.a1.a1
1856.389.2d2 $2$ S \(\Q(\zeta_{32})^+\) 1856.389.2d $C_{29}:Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $29$ 32.a1.a1
1856.389.2d3 $2$ S \(\Q(\zeta_{32})^+\) 1856.389.2d $C_{29}:Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $29$ 32.a1.a1
1856.389.2d4 $2$ S \(\Q(\zeta_{32})^+\) 1856.389.2d $C_{29}:Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $29$ 32.a1.a1
1856.389.2d5 $2$ S \(\Q(\zeta_{32})^+\) 1856.389.2d $C_{29}:Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $29$ 32.a1.a1
1856.389.2d6 $2$ S \(\Q(\zeta_{32})^+\) 1856.389.2d $C_{29}:Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $29$ 32.a1.a1
1856.389.2d7 $2$ S \(\Q(\zeta_{32})^+\) 1856.389.2d $C_{29}:Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $29$ 32.a1.a1
1856.389.2d8 $2$ S \(\Q(\zeta_{32})^+\) 1856.389.2d $C_{29}:Q_{64}$ $Q_{64}$ $64$ 64.a1.a1 $29$ 32.a1.a1
1856.389.2e1 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e10 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e11 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e12 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e13 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e14 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e2 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e3 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e4 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e5 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e6 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e7 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e8 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2e9 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2e $C_{29}:Q_{64}$ $D_{29}$ $58$ 58.a1.a1 $32$ 58.a1.a1
1856.389.2f1 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f10 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f11 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f12 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f13 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f14 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f2 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f3 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f4 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f5 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f6 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f7 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f8 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2f9 $2$ R \(\Q(\zeta_{29})^+\) 1856.389.2f $C_{29}:Q_{64}$ $D_{58}$ $116$ 116.a1.a1 $16$ 58.a1.a1
1856.389.2g1 $2$ C \(\Q(\zeta_{29})\) 1856.389.2g $C_{29}:Q_{64}$ $C_{29}:D_4$ $232$ 232.a1.a1 $8$ 116.a1.a1
1856.389.2g10 $2$ C \(\Q(\zeta_{29})\) 1856.389.2g $C_{29}:Q_{64}$ $C_{29}:D_4$ $232$ 232.a1.a1 $8$ 116.a1.a1
1856.389.2g11 $2$ C \(\Q(\zeta_{29})\) 1856.389.2g $C_{29}:Q_{64}$ $C_{29}:D_4$ $232$ 232.a1.a1 $8$ 116.a1.a1
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