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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
792.17.1a $1$ R \(\Q\) 792.17.1a $C_{99}:D_4$ $C_1$ $1$ 1.a1.a1 $792$ 1.a1.a1
792.17.1b $1$ R \(\Q\) 792.17.1b $C_{99}:D_4$ $C_2$ $2$ 2.c1.a1 $396$ 1.a1.a1
792.17.1c $1$ R \(\Q\) 792.17.1c $C_{99}:D_4$ $C_2$ $2$ 2.b1.a1 $396$ 1.a1.a1
792.17.1d $1$ R \(\Q\) 792.17.1d $C_{99}:D_4$ $C_2$ $2$ 2.a1.a1 $396$ 1.a1.a1
792.17.1e1 $1$ C \(\Q(\sqrt{-3}) \) 792.17.1e $C_{99}:D_4$ $C_3$ $3$ 3.a1.a1 $264$ 1.a1.a1
792.17.1e2 $1$ C \(\Q(\sqrt{-3}) \) 792.17.1e $C_{99}:D_4$ $C_3$ $3$ 3.a1.a1 $264$ 1.a1.a1
792.17.1f1 $1$ C \(\Q(\sqrt{-3}) \) 792.17.1f $C_{99}:D_4$ $C_6$ $6$ 6.c1.a1 $132$ 1.a1.a1
792.17.1f2 $1$ C \(\Q(\sqrt{-3}) \) 792.17.1f $C_{99}:D_4$ $C_6$ $6$ 6.c1.a1 $132$ 1.a1.a1
792.17.1g1 $1$ C \(\Q(\sqrt{-3}) \) 792.17.1g $C_{99}:D_4$ $C_6$ $6$ 6.b1.a1 $132$ 1.a1.a1
792.17.1g2 $1$ C \(\Q(\sqrt{-3}) \) 792.17.1g $C_{99}:D_4$ $C_6$ $6$ 6.b1.a1 $132$ 1.a1.a1
792.17.1h1 $1$ C \(\Q(\sqrt{-3}) \) 792.17.1h $C_{99}:D_4$ $C_6$ $6$ 6.a1.a1 $132$ 1.a1.a1
792.17.1h2 $1$ C \(\Q(\sqrt{-3}) \) 792.17.1h $C_{99}:D_4$ $C_6$ $6$ 6.a1.a1 $132$ 1.a1.a1
792.17.1i1 $1$ C \(\Q(\zeta_{9})\) 792.17.1i $C_{99}:D_4$ $C_9$ $9$ 9.a1.a1 $88$ 1.a1.a1
792.17.1i2 $1$ C \(\Q(\zeta_{9})\) 792.17.1i $C_{99}:D_4$ $C_9$ $9$ 9.a1.a1 $88$ 1.a1.a1
792.17.1i3 $1$ C \(\Q(\zeta_{9})\) 792.17.1i $C_{99}:D_4$ $C_9$ $9$ 9.a1.a1 $88$ 1.a1.a1
792.17.1i4 $1$ C \(\Q(\zeta_{9})\) 792.17.1i $C_{99}:D_4$ $C_9$ $9$ 9.a1.a1 $88$ 1.a1.a1
792.17.1i5 $1$ C \(\Q(\zeta_{9})\) 792.17.1i $C_{99}:D_4$ $C_9$ $9$ 9.a1.a1 $88$ 1.a1.a1
792.17.1i6 $1$ C \(\Q(\zeta_{9})\) 792.17.1i $C_{99}:D_4$ $C_9$ $9$ 9.a1.a1 $88$ 1.a1.a1
792.17.1j1 $1$ C \(\Q(\zeta_{9})\) 792.17.1j $C_{99}:D_4$ $C_{18}$ $18$ 18.c1.a1 $44$ 1.a1.a1
792.17.1j2 $1$ C \(\Q(\zeta_{9})\) 792.17.1j $C_{99}:D_4$ $C_{18}$ $18$ 18.c1.a1 $44$ 1.a1.a1
792.17.1j3 $1$ C \(\Q(\zeta_{9})\) 792.17.1j $C_{99}:D_4$ $C_{18}$ $18$ 18.c1.a1 $44$ 1.a1.a1
792.17.1j4 $1$ C \(\Q(\zeta_{9})\) 792.17.1j $C_{99}:D_4$ $C_{18}$ $18$ 18.c1.a1 $44$ 1.a1.a1
792.17.1j5 $1$ C \(\Q(\zeta_{9})\) 792.17.1j $C_{99}:D_4$ $C_{18}$ $18$ 18.c1.a1 $44$ 1.a1.a1
792.17.1j6 $1$ C \(\Q(\zeta_{9})\) 792.17.1j $C_{99}:D_4$ $C_{18}$ $18$ 18.c1.a1 $44$ 1.a1.a1
792.17.1k1 $1$ C \(\Q(\zeta_{9})\) 792.17.1k $C_{99}:D_4$ $C_{18}$ $18$ 18.b1.a1 $44$ 1.a1.a1
792.17.1k2 $1$ C \(\Q(\zeta_{9})\) 792.17.1k $C_{99}:D_4$ $C_{18}$ $18$ 18.b1.a1 $44$ 1.a1.a1
792.17.1k3 $1$ C \(\Q(\zeta_{9})\) 792.17.1k $C_{99}:D_4$ $C_{18}$ $18$ 18.b1.a1 $44$ 1.a1.a1
792.17.1k4 $1$ C \(\Q(\zeta_{9})\) 792.17.1k $C_{99}:D_4$ $C_{18}$ $18$ 18.b1.a1 $44$ 1.a1.a1
792.17.1k5 $1$ C \(\Q(\zeta_{9})\) 792.17.1k $C_{99}:D_4$ $C_{18}$ $18$ 18.b1.a1 $44$ 1.a1.a1
792.17.1k6 $1$ C \(\Q(\zeta_{9})\) 792.17.1k $C_{99}:D_4$ $C_{18}$ $18$ 18.b1.a1 $44$ 1.a1.a1
792.17.1l1 $1$ C \(\Q(\zeta_{9})\) 792.17.1l $C_{99}:D_4$ $C_{18}$ $18$ 18.a1.a1 $44$ 1.a1.a1
792.17.1l2 $1$ C \(\Q(\zeta_{9})\) 792.17.1l $C_{99}:D_4$ $C_{18}$ $18$ 18.a1.a1 $44$ 1.a1.a1
792.17.1l3 $1$ C \(\Q(\zeta_{9})\) 792.17.1l $C_{99}:D_4$ $C_{18}$ $18$ 18.a1.a1 $44$ 1.a1.a1
792.17.1l4 $1$ C \(\Q(\zeta_{9})\) 792.17.1l $C_{99}:D_4$ $C_{18}$ $18$ 18.a1.a1 $44$ 1.a1.a1
792.17.1l5 $1$ C \(\Q(\zeta_{9})\) 792.17.1l $C_{99}:D_4$ $C_{18}$ $18$ 18.a1.a1 $44$ 1.a1.a1
792.17.1l6 $1$ C \(\Q(\zeta_{9})\) 792.17.1l $C_{99}:D_4$ $C_{18}$ $18$ 18.a1.a1 $44$ 1.a1.a1
792.17.2a $2$ R \(\Q\) 792.17.2a $C_{99}:D_4$ $D_4$ $8$ 8.a1.a1 $99$ 4.a1.a1
792.17.2b1 $2$ C \(\Q(\sqrt{-3}) \) 792.17.2b $C_{99}:D_4$ $C_3\times D_4$ $24$ 24.a1.a1 $33$ 4.a1.a1
792.17.2b2 $2$ C \(\Q(\sqrt{-3}) \) 792.17.2b $C_{99}:D_4$ $C_3\times D_4$ $24$ 24.a1.a1 $33$ 4.a1.a1
792.17.2c1 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2c $C_{99}:D_4$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.17.2c2 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2c $C_{99}:D_4$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.17.2c3 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2c $C_{99}:D_4$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.17.2c4 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2c $C_{99}:D_4$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.17.2c5 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2c $C_{99}:D_4$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.17.2d1 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2d $C_{99}:D_4$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.17.2d2 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2d $C_{99}:D_4$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.17.2d3 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2d $C_{99}:D_4$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.17.2d4 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2d $C_{99}:D_4$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.17.2d5 $2$ R \(\Q(\zeta_{11})^+\) 792.17.2d $C_{99}:D_4$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.17.2e1 $2$ C \(\Q(\zeta_{9})\) 792.17.2e $C_{99}:D_4$ $D_4\times C_9$ $72$ 72.a1.a1 $11$ 4.a1.a1
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