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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1944.3612.1a $1$ R \(\Q\) 1944.3612.1a $C_3^3:(C_3\times S_4)$ $C_1$ $1$ 1.a1 $1944$ 1.a1
1944.3612.1b $1$ R \(\Q\) 1944.3612.1b $C_3^3:(C_3\times S_4)$ $C_2$ $2$ 2.a1 $972$ 1.a1
1944.3612.1c1 $1$ C \(\Q(\sqrt{-3}) \) 1944.3612.1c $C_3^3:(C_3\times S_4)$ $C_3$ $3$ 3.a1 $648$ 1.a1
1944.3612.1c2 $1$ C \(\Q(\sqrt{-3}) \) 1944.3612.1c $C_3^3:(C_3\times S_4)$ $C_3$ $3$ 3.a1 $648$ 1.a1
1944.3612.1d1 $1$ C \(\Q(\sqrt{-3}) \) 1944.3612.1d $C_3^3:(C_3\times S_4)$ $C_6$ $6$ 6.d1 $324$ 1.a1
1944.3612.1d2 $1$ C \(\Q(\sqrt{-3}) \) 1944.3612.1d $C_3^3:(C_3\times S_4)$ $C_6$ $6$ 6.d1 $324$ 1.a1
1944.3612.2a $2$ R \(\Q\) 1944.3612.2a $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2b $2$ R \(\Q\) 1944.3612.2b $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2c $2$ R \(\Q\) 1944.3612.2c $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2d $2$ R \(\Q\) 1944.3612.2d $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2e $2$ R \(\Q\) 1944.3612.2e $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2f $2$ R \(\Q\) 1944.3612.2f $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2g $2$ R \(\Q\) 1944.3612.2g $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2h $2$ R \(\Q\) 1944.3612.2h $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2i $2$ R \(\Q\) 1944.3612.2i $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.e1 $324$ 6.e1
1944.3612.2j $2$ R \(\Q\) 1944.3612.2j $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.c1 $324$ 6.c1
1944.3612.2k $2$ R \(\Q\) 1944.3612.2k $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.c1 $324$ 6.c1
1944.3612.2l $2$ R \(\Q\) 1944.3612.2l $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.b1 $324$ 6.b1
1944.3612.2m $2$ R \(\Q\) 1944.3612.2m $C_3^3:(C_3\times S_4)$ $S_3$ $6$ 6.a1 $324$ 6.a1
1944.3612.2n1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2n $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2n2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2n $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2o1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2o $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2o2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2o $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2p1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2p $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2p2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2p $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2q1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2q $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2q2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2q $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2r1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2r $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2r2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2r $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2s1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2s $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2s2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2s $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2t1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2t $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2t2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2t $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2u1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2u $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2u2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2u $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2v1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2v $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2v2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2v $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.h1 $108$ 6.e1
1944.3612.2w1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2w $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.b1 $108$ 6.a1
1944.3612.2w2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2w $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.b1 $108$ 6.a1
1944.3612.2x1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2x $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.d1 $108$ 6.c1
1944.3612.2x2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2x $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.d1 $108$ 6.c1
1944.3612.2y1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2y $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.d1 $108$ 6.c1
1944.3612.2y2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2y $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.d1 $108$ 6.c1
1944.3612.2z1 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2z $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.c1 $108$ 6.b1
1944.3612.2z2 $2$ C \(\Q(\sqrt{-3}) \) 1944.3612.2z $C_3^3:(C_3\times S_4)$ $C_3\times S_3$ $18$ 18.c1 $108$ 6.b1
1944.3612.3a $3$ R \(\Q\) 1944.3612.3a $C_3^3:(C_3\times S_4)$ $S_4$ $24$ 24.a1 $81$ 24.a1
1944.3612.3b $3$ R \(\Q\) 1944.3612.3b $C_3^3:(C_3\times S_4)$ $S_4$ $24$ 24.a1 $81$ 24.a1
1944.3612.3c1 $3$ C \(\Q(\sqrt{-3}) \) 1944.3612.3c $C_3^3:(C_3\times S_4)$ $C_3\times S_4$ $72$ 72.b1 $27$ 24.a1
1944.3612.3c2 $3$ C \(\Q(\sqrt{-3}) \) 1944.3612.3c $C_3^3:(C_3\times S_4)$ $C_3\times S_4$ $72$ 72.b1 $27$ 24.a1
1944.3612.3d1 $3$ C \(\Q(\sqrt{-3}) \) 1944.3612.3d $C_3^3:(C_3\times S_4)$ $C_3\times S_4$ $72$ 72.b1 $27$ 24.a1
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