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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
4032.fk.1a $1$ R \(\Q\) 4032.fk.1a $C_{28}:(C_6\times S_4)$ $C_1$ $1$ 1.a1.a1 $4032$ 1.a1.a1
4032.fk.1b $1$ R \(\Q\) 4032.fk.1b $C_{28}:(C_6\times S_4)$ $C_2$ $2$ 2.e1.a1 $2016$ 1.a1.a1
4032.fk.1c $1$ R \(\Q\) 4032.fk.1c $C_{28}:(C_6\times S_4)$ $C_2$ $2$ 2.d1.a1 $2016$ 1.a1.a1
4032.fk.1d $1$ R \(\Q\) 4032.fk.1d $C_{28}:(C_6\times S_4)$ $C_2$ $2$ 2.a1.b1 $2016$ 1.a1.a1
4032.fk.1e $1$ R \(\Q\) 4032.fk.1e $C_{28}:(C_6\times S_4)$ $C_2$ $2$ 2.b1.b1 $2016$ 1.a1.a1
4032.fk.1f $1$ R \(\Q\) 4032.fk.1f $C_{28}:(C_6\times S_4)$ $C_2$ $2$ 2.b1.a1 $2016$ 1.a1.a1
4032.fk.1g $1$ R \(\Q\) 4032.fk.1g $C_{28}:(C_6\times S_4)$ $C_2$ $2$ 2.a1.a1 $2016$ 1.a1.a1
4032.fk.1h $1$ R \(\Q\) 4032.fk.1h $C_{28}:(C_6\times S_4)$ $C_2$ $2$ 2.c1.a1 $2016$ 1.a1.a1
4032.fk.1i1 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1i $C_{28}:(C_6\times S_4)$ $C_3$ $3$ 3.a1.a1 $1344$ 1.a1.a1
4032.fk.1i2 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1i $C_{28}:(C_6\times S_4)$ $C_3$ $3$ 3.a1.a1 $1344$ 1.a1.a1
4032.fk.1j1 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1j $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.f1.a1 $672$ 1.a1.a1
4032.fk.1j2 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1j $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.f1.a1 $672$ 1.a1.a1
4032.fk.1k1 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1k $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.e1.a1 $672$ 1.a1.a1
4032.fk.1k2 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1k $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.e1.a1 $672$ 1.a1.a1
4032.fk.1l1 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1l $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.a1.b1 $672$ 1.a1.a1
4032.fk.1l2 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1l $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.a1.b1 $672$ 1.a1.a1
4032.fk.1m1 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1m $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.b1.b1 $672$ 1.a1.a1
4032.fk.1m2 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1m $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.b1.b1 $672$ 1.a1.a1
4032.fk.1n1 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1n $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.b1.a1 $672$ 1.a1.a1
4032.fk.1n2 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1n $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.b1.a1 $672$ 1.a1.a1
4032.fk.1o1 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1o $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.a1.a1 $672$ 1.a1.a1
4032.fk.1o2 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1o $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.a1.a1 $672$ 1.a1.a1
4032.fk.1p1 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1p $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.c1.a1 $672$ 1.a1.a1
4032.fk.1p2 $1$ C \(\Q(\sqrt{-3}) \) 4032.fk.1p $C_{28}:(C_6\times S_4)$ $C_6$ $6$ 6.c1.a1 $672$ 1.a1.a1
4032.fk.2a $2$ R \(\Q\) 4032.fk.2a $C_{28}:(C_6\times S_4)$ $S_3$ $6$ 6.d1.a1 $672$ 6.d1.a1
4032.fk.2b $2$ R \(\Q\) 4032.fk.2b $C_{28}:(C_6\times S_4)$ $D_4$ $8$ 8.b1.a1 $504$ 4.c1.a1
4032.fk.2c $2$ R \(\Q\) 4032.fk.2c $C_{28}:(C_6\times S_4)$ $D_4$ $8$ 8.b1.b1 $504$ 4.c1.a1
4032.fk.2d $2$ R \(\Q\) 4032.fk.2d $C_{28}:(C_6\times S_4)$ $D_6$ $12$ 12.e1.a1 $336$ 6.d1.a1
4032.fk.2e $2$ R \(\Q\) 4032.fk.2e $C_{28}:(C_6\times S_4)$ $D_6$ $12$ 12.b1.b1 $336$ 6.d1.a1
4032.fk.2f $2$ R \(\Q\) 4032.fk.2f $C_{28}:(C_6\times S_4)$ $D_6$ $12$ 12.b1.a1 $336$ 6.d1.a1
4032.fk.2g1 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2g $C_{28}:(C_6\times S_4)$ $C_3\times S_3$ $18$ 18.a1.a1 $224$ 6.d1.a1
4032.fk.2g2 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2g $C_{28}:(C_6\times S_4)$ $C_3\times S_3$ $18$ 18.a1.a1 $224$ 6.d1.a1
4032.fk.2h1 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2h $C_{28}:(C_6\times S_4)$ $C_3\times D_4$ $24$ 24.d1.a1 $168$ 4.c1.a1
4032.fk.2h2 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2h $C_{28}:(C_6\times S_4)$ $C_3\times D_4$ $24$ 24.d1.a1 $168$ 4.c1.a1
4032.fk.2i1 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2i $C_{28}:(C_6\times S_4)$ $C_3\times D_4$ $24$ 24.d1.b1 $168$ 4.c1.a1
4032.fk.2i2 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2i $C_{28}:(C_6\times S_4)$ $C_3\times D_4$ $24$ 24.d1.b1 $168$ 4.c1.a1
4032.fk.2j1 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2j $C_{28}:(C_6\times S_4)$ $C_6\times S_3$ $36$ 36.b1.a1 $112$ 6.d1.a1
4032.fk.2j2 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2j $C_{28}:(C_6\times S_4)$ $C_6\times S_3$ $36$ 36.b1.a1 $112$ 6.d1.a1
4032.fk.2k1 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2k $C_{28}:(C_6\times S_4)$ $C_6\times S_3$ $36$ 36.a1.b1 $112$ 6.d1.a1
4032.fk.2k2 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2k $C_{28}:(C_6\times S_4)$ $C_6\times S_3$ $36$ 36.a1.b1 $112$ 6.d1.a1
4032.fk.2l1 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2l $C_{28}:(C_6\times S_4)$ $C_6\times S_3$ $36$ 36.a1.a1 $112$ 6.d1.a1
4032.fk.2l2 $2$ C \(\Q(\sqrt{-3}) \) 4032.fk.2l $C_{28}:(C_6\times S_4)$ $C_6\times S_3$ $36$ 36.a1.a1 $112$ 6.d1.a1
4032.fk.3a $3$ R \(\Q\) 4032.fk.3a $C_{28}:(C_6\times S_4)$ $S_4$ $24$ 24.c1.a1 $168$ 24.c1.a1
4032.fk.3b $3$ R \(\Q\) 4032.fk.3b $C_{28}:(C_6\times S_4)$ $S_4$ $24$ 24.c1.a1 $168$ 24.c1.a1
4032.fk.3c $3$ R \(\Q\) 4032.fk.3c $C_{28}:(C_6\times S_4)$ $C_2\times S_4$ $48$ 48.b1.a1 $84$ 24.c1.a1
4032.fk.3d $3$ R \(\Q\) 4032.fk.3d $C_{28}:(C_6\times S_4)$ $C_2\times S_4$ $48$ 48.a1.b1 $84$ 24.c1.a1
4032.fk.3e $3$ R \(\Q\) 4032.fk.3e $C_{28}:(C_6\times S_4)$ $C_2\times S_4$ $48$ 48.a1.a1 $84$ 24.c1.a1
4032.fk.3f $3$ R \(\Q\) 4032.fk.3f $C_{28}:(C_6\times S_4)$ $C_2\times S_4$ $48$ 48.a1.b1 $84$ 24.c1.a1
4032.fk.3g $3$ R \(\Q\) 4032.fk.3g $C_{28}:(C_6\times S_4)$ $C_2\times S_4$ $48$ 48.a1.a1 $84$ 24.c1.a1
4032.fk.3h $3$ R \(\Q\) 4032.fk.3h $C_{28}:(C_6\times S_4)$ $C_2\times S_4$ $48$ 48.b1.a1 $84$ 24.c1.a1
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