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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
792.91.1a $1$ R \(\Q\) 792.91.1a $C_{12}\times D_{33}$ $C_1$ $1$ 1.a1.a1 $792$ 1.a1.a1
792.91.1b $1$ R \(\Q\) 792.91.1b $C_{12}\times D_{33}$ $C_2$ $2$ 2.c1.a1 $396$ 1.a1.a1
792.91.1c $1$ R \(\Q\) 792.91.1c $C_{12}\times D_{33}$ $C_2$ $2$ 2.b1.a1 $396$ 1.a1.a1
792.91.1d $1$ R \(\Q\) 792.91.1d $C_{12}\times D_{33}$ $C_2$ $2$ 2.a1.a1 $396$ 1.a1.a1
792.91.1e1 $1$ C \(\Q(\sqrt{-3}) \) 792.91.1e $C_{12}\times D_{33}$ $C_3$ $3$ 3.a1.a1 $264$ 1.a1.a1
792.91.1e2 $1$ C \(\Q(\sqrt{-3}) \) 792.91.1e $C_{12}\times D_{33}$ $C_3$ $3$ 3.a1.a1 $264$ 1.a1.a1
792.91.1f1 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1f $C_{12}\times D_{33}$ $C_4$ $4$ 4.b1.b1 $198$ 1.a1.a1
792.91.1f2 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1f $C_{12}\times D_{33}$ $C_4$ $4$ 4.b1.b1 $198$ 1.a1.a1
792.91.1g1 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1g $C_{12}\times D_{33}$ $C_4$ $4$ 4.b1.a1 $198$ 1.a1.a1
792.91.1g2 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1g $C_{12}\times D_{33}$ $C_4$ $4$ 4.b1.a1 $198$ 1.a1.a1
792.91.1h1 $1$ C \(\Q(\sqrt{-3}) \) 792.91.1h $C_{12}\times D_{33}$ $C_6$ $6$ 6.d1.a1 $132$ 1.a1.a1
792.91.1h2 $1$ C \(\Q(\sqrt{-3}) \) 792.91.1h $C_{12}\times D_{33}$ $C_6$ $6$ 6.d1.a1 $132$ 1.a1.a1
792.91.1i1 $1$ C \(\Q(\sqrt{-3}) \) 792.91.1i $C_{12}\times D_{33}$ $C_6$ $6$ 6.c1.a1 $132$ 1.a1.a1
792.91.1i2 $1$ C \(\Q(\sqrt{-3}) \) 792.91.1i $C_{12}\times D_{33}$ $C_6$ $6$ 6.c1.a1 $132$ 1.a1.a1
792.91.1j1 $1$ C \(\Q(\sqrt{-3}) \) 792.91.1j $C_{12}\times D_{33}$ $C_6$ $6$ 6.a1.a1 $132$ 1.a1.a1
792.91.1j2 $1$ C \(\Q(\sqrt{-3}) \) 792.91.1j $C_{12}\times D_{33}$ $C_6$ $6$ 6.a1.a1 $132$ 1.a1.a1
792.91.1k1 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1k $C_{12}\times D_{33}$ $C_{12}$ $12$ 12.c1.b1 $66$ 1.a1.a1
792.91.1k2 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1k $C_{12}\times D_{33}$ $C_{12}$ $12$ 12.c1.b1 $66$ 1.a1.a1
792.91.1k3 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1k $C_{12}\times D_{33}$ $C_{12}$ $12$ 12.c1.b1 $66$ 1.a1.a1
792.91.1k4 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1k $C_{12}\times D_{33}$ $C_{12}$ $12$ 12.c1.b1 $66$ 1.a1.a1
792.91.1l1 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1l $C_{12}\times D_{33}$ $C_{12}$ $12$ 12.c1.a1 $66$ 1.a1.a1
792.91.1l2 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1l $C_{12}\times D_{33}$ $C_{12}$ $12$ 12.c1.a1 $66$ 1.a1.a1
792.91.1l3 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1l $C_{12}\times D_{33}$ $C_{12}$ $12$ 12.c1.a1 $66$ 1.a1.a1
792.91.1l4 $1$ C \(\Q(\sqrt{-1}) \) 792.91.1l $C_{12}\times D_{33}$ $C_{12}$ $12$ 12.c1.a1 $66$ 1.a1.a1
792.91.2a $2$ R \(\Q\) 792.91.2a $C_{12}\times D_{33}$ $S_3$ $6$ 6.b1.a1 $132$ 6.b1.a1
792.91.2b $2$ R \(\Q\) 792.91.2b $C_{12}\times D_{33}$ $D_6$ $12$ 12.a1.a1 $66$ 6.b1.a1
792.91.2c1 $2$ C \(\Q(\sqrt{-3}) \) 792.91.2c $C_{12}\times D_{33}$ $C_3\times S_3$ $18$ 18.a1.a1 $44$ 6.b1.a1
792.91.2c2 $2$ C \(\Q(\sqrt{-3}) \) 792.91.2c $C_{12}\times D_{33}$ $C_3\times S_3$ $18$ 18.a1.a1 $44$ 6.b1.a1
792.91.2d1 $2$ C \(\Q(\sqrt{-1}) \) 792.91.2d $C_{12}\times D_{33}$ $C_4\times S_3$ $24$ 24.a1.a1 $33$ 6.b1.a1
792.91.2d2 $2$ C \(\Q(\sqrt{-1}) \) 792.91.2d $C_{12}\times D_{33}$ $C_4\times S_3$ $24$ 24.a1.a1 $33$ 6.b1.a1
792.91.2e1 $2$ C \(\Q(\sqrt{-3}) \) 792.91.2e $C_{12}\times D_{33}$ $C_6\times S_3$ $36$ 36.a1.a1 $22$ 6.b1.a1
792.91.2e2 $2$ C \(\Q(\sqrt{-3}) \) 792.91.2e $C_{12}\times D_{33}$ $C_6\times S_3$ $36$ 36.a1.a1 $22$ 6.b1.a1
792.91.2f1 $2$ C \(\Q(\sqrt{-1}) \) 792.91.2f $C_{12}\times D_{33}$ $S_3\times C_{12}$ $72$ 72.a1.a1 $11$ 6.b1.a1
792.91.2f2 $2$ C \(\Q(\sqrt{-1}) \) 792.91.2f $C_{12}\times D_{33}$ $S_3\times C_{12}$ $72$ 72.a1.a1 $11$ 6.b1.a1
792.91.2f3 $2$ C \(\Q(\sqrt{-1}) \) 792.91.2f $C_{12}\times D_{33}$ $S_3\times C_{12}$ $72$ 72.a1.a1 $11$ 6.b1.a1
792.91.2f4 $2$ C \(\Q(\sqrt{-1}) \) 792.91.2f $C_{12}\times D_{33}$ $S_3\times C_{12}$ $72$ 72.a1.a1 $11$ 6.b1.a1
792.91.2g1 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2g $C_{12}\times D_{33}$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.91.2g2 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2g $C_{12}\times D_{33}$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.91.2g3 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2g $C_{12}\times D_{33}$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.91.2g4 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2g $C_{12}\times D_{33}$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.91.2g5 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2g $C_{12}\times D_{33}$ $D_{11}$ $22$ 22.a1.a1 $36$ 22.a1.a1
792.91.2h1 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2h $C_{12}\times D_{33}$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.91.2h2 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2h $C_{12}\times D_{33}$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.91.2h3 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2h $C_{12}\times D_{33}$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.91.2h4 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2h $C_{12}\times D_{33}$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.91.2h5 $2$ R \(\Q(\zeta_{11})^+\) 792.91.2h $C_{12}\times D_{33}$ $D_{22}$ $44$ 44.a1.a1 $18$ 22.a1.a1
792.91.2i1 $2$ R \(\Q(\zeta_{33})^+\) 792.91.2i $C_{12}\times D_{33}$ $D_{33}$ $66$ 66.a1.a1 $12$ 66.a1.a1
792.91.2i10 $2$ R \(\Q(\zeta_{33})^+\) 792.91.2i $C_{12}\times D_{33}$ $D_{33}$ $66$ 66.a1.a1 $12$ 66.a1.a1
792.91.2i2 $2$ R \(\Q(\zeta_{33})^+\) 792.91.2i $C_{12}\times D_{33}$ $D_{33}$ $66$ 66.a1.a1 $12$ 66.a1.a1
792.91.2i3 $2$ R \(\Q(\zeta_{33})^+\) 792.91.2i $C_{12}\times D_{33}$ $D_{33}$ $66$ 66.a1.a1 $12$ 66.a1.a1
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