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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1728.47306.1a $1$ R \(\Q\) 1728.47306.1a $C_{12}.D_6^2$ $C_1$ $1$ 1.a1 $1728$ 1.a1
1728.47306.1aa $1$ R \(\Q\) 1728.47306.1aa $C_{12}.D_6^2$ $C_2$ $2$ 2.a1 $864$ 1.a1
1728.47306.1ab $1$ R \(\Q\) 1728.47306.1ab $C_{12}.D_6^2$ $C_2$ $2$ 2.a1 $864$ 1.a1
1728.47306.1ac $1$ R \(\Q\) 1728.47306.1ac $C_{12}.D_6^2$ $C_2$ $2$ 2.b1 $864$ 1.a1
1728.47306.1ad $1$ R \(\Q\) 1728.47306.1ad $C_{12}.D_6^2$ $C_2$ $2$ 2.e1 $864$ 1.a1
1728.47306.1ae $1$ R \(\Q\) 1728.47306.1ae $C_{12}.D_6^2$ $C_2$ $2$ 2.d1 $864$ 1.a1
1728.47306.1af $1$ R \(\Q\) 1728.47306.1af $C_{12}.D_6^2$ $C_2$ $2$ 2.d1 $864$ 1.a1
1728.47306.1b $1$ R \(\Q\) 1728.47306.1b $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1c $1$ R \(\Q\) 1728.47306.1c $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1d $1$ R \(\Q\) 1728.47306.1d $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1e $1$ R \(\Q\) 1728.47306.1e $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1f $1$ R \(\Q\) 1728.47306.1f $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1g $1$ R \(\Q\) 1728.47306.1g $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1h $1$ R \(\Q\) 1728.47306.1h $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1i $1$ R \(\Q\) 1728.47306.1i $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1j $1$ R \(\Q\) 1728.47306.1j $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1k $1$ R \(\Q\) 1728.47306.1k $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1l $1$ R \(\Q\) 1728.47306.1l $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1m $1$ R \(\Q\) 1728.47306.1m $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1n $1$ R \(\Q\) 1728.47306.1n $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1o $1$ R \(\Q\) 1728.47306.1o $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1p $1$ R \(\Q\) 1728.47306.1p $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1q $1$ R \(\Q\) 1728.47306.1q $C_{12}.D_6^2$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.47306.1r $1$ R \(\Q\) 1728.47306.1r $C_{12}.D_6^2$ $C_2$ $2$ 2.h1 $864$ 1.a1
1728.47306.1s $1$ R \(\Q\) 1728.47306.1s $C_{12}.D_6^2$ $C_2$ $2$ 2.f1 $864$ 1.a1
1728.47306.1t $1$ R \(\Q\) 1728.47306.1t $C_{12}.D_6^2$ $C_2$ $2$ 2.f1 $864$ 1.a1
1728.47306.1u $1$ R \(\Q\) 1728.47306.1u $C_{12}.D_6^2$ $C_2$ $2$ 2.g1 $864$ 1.a1
1728.47306.1v $1$ R \(\Q\) 1728.47306.1v $C_{12}.D_6^2$ $C_2$ $2$ 2.c1 $864$ 1.a1
1728.47306.1w $1$ R \(\Q\) 1728.47306.1w $C_{12}.D_6^2$ $C_2$ $2$ 2.a1 $864$ 1.a1
1728.47306.1x $1$ R \(\Q\) 1728.47306.1x $C_{12}.D_6^2$ $C_2$ $2$ 2.a1 $864$ 1.a1
1728.47306.1y $1$ R \(\Q\) 1728.47306.1y $C_{12}.D_6^2$ $C_2$ $2$ 2.b1 $864$ 1.a1
1728.47306.1z $1$ R \(\Q\) 1728.47306.1z $C_{12}.D_6^2$ $C_2$ $2$ 2.c1 $864$ 1.a1
1728.47306.2a $2$ R \(\Q\) 1728.47306.2a $C_{12}.D_6^2$ $S_3$ $6$ 6.a1 $288$ 6.a1
1728.47306.2aa $2$ R \(\Q\) 1728.47306.2aa $C_{12}.D_6^2$ $D_6$ $12$ 12.l1 $144$ 6.b1
1728.47306.2ab $2$ R \(\Q\) 1728.47306.2ab $C_{12}.D_6^2$ $D_6$ $12$ 12.i1 $144$ 6.b1
1728.47306.2ac $2$ R \(\Q\) 1728.47306.2ac $C_{12}.D_6^2$ $D_6$ $12$ 12.h1 $144$ 6.b1
1728.47306.2ad $2$ R \(\Q\) 1728.47306.2ad $C_{12}.D_6^2$ $D_6$ $12$ 12.j1 $144$ 6.a1
1728.47306.2ae $2$ R \(\Q\) 1728.47306.2ae $C_{12}.D_6^2$ $D_6$ $12$ 12.f1 $144$ 6.a1
1728.47306.2af $2$ R \(\Q\) 1728.47306.2af $C_{12}.D_6^2$ $D_6$ $12$ 12.f1 $144$ 6.a1
1728.47306.2ag $2$ R \(\Q\) 1728.47306.2ag $C_{12}.D_6^2$ $D_6$ $12$ 12.g1 $144$ 6.a1
1728.47306.2ah $2$ R \(\Q\) 1728.47306.2ah $C_{12}.D_6^2$ $D_6$ $12$ 12.d1 $144$ 6.b1
1728.47306.2ai $2$ R \(\Q\) 1728.47306.2ai $C_{12}.D_6^2$ $D_6$ $12$ 12.c1 $144$ 6.b1
1728.47306.2aj $2$ R \(\Q\) 1728.47306.2aj $C_{12}.D_6^2$ $D_6$ $12$ 12.j1 $144$ 6.a1
1728.47306.2ak $2$ R \(\Q\) 1728.47306.2ak $C_{12}.D_6^2$ $D_6$ $12$ 12.f1 $144$ 6.a1
1728.47306.2al $2$ R \(\Q\) 1728.47306.2al $C_{12}.D_6^2$ $D_6$ $12$ 12.f1 $144$ 6.a1
1728.47306.2am $2$ R \(\Q\) 1728.47306.2am $C_{12}.D_6^2$ $D_6$ $12$ 12.g1 $144$ 6.a1
1728.47306.2an $2$ R \(\Q\) 1728.47306.2an $C_{12}.D_6^2$ $D_6$ $12$ 12.b1 $144$ 6.a1
1728.47306.2ao $2$ R \(\Q\) 1728.47306.2ao $C_{12}.D_6^2$ $D_6$ $12$ 12.a1 $144$ 6.a1
1728.47306.2ap $2$ R \(\Q\) 1728.47306.2ap $C_{12}.D_6^2$ $D_6$ $12$ 12.a1 $144$ 6.a1
1728.47306.2aq $2$ R \(\Q\) 1728.47306.2aq $C_{12}.D_6^2$ $D_6$ $12$ 12.d1 $144$ 6.b1
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