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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
672.587.1a $1$ R \(\Q\) 672.587.1a $C_{12}:D_{28}$ $C_1$ $1$ 1.a1.a1 $672$ 1.a1.a1
672.587.1b $1$ R \(\Q\) 672.587.1b $C_{12}:D_{28}$ $C_2$ $2$ 2.g1.a1 $336$ 1.a1.a1
672.587.1c $1$ R \(\Q\) 672.587.1c $C_{12}:D_{28}$ $C_2$ $2$ 2.f1.a1 $336$ 1.a1.a1
672.587.1d $1$ R \(\Q\) 672.587.1d $C_{12}:D_{28}$ $C_2$ $2$ 2.e1.a1 $336$ 1.a1.a1
672.587.1e $1$ R \(\Q\) 672.587.1e $C_{12}:D_{28}$ $C_2$ $2$ 2.d1.a1 $336$ 1.a1.a1
672.587.1f $1$ R \(\Q\) 672.587.1f $C_{12}:D_{28}$ $C_2$ $2$ 2.c1.a1 $336$ 1.a1.a1
672.587.1g $1$ R \(\Q\) 672.587.1g $C_{12}:D_{28}$ $C_2$ $2$ 2.b1.a1 $336$ 1.a1.a1
672.587.1h $1$ R \(\Q\) 672.587.1h $C_{12}:D_{28}$ $C_2$ $2$ 2.a1.a1 $336$ 1.a1.a1
672.587.1i1 $1$ C \(\Q(\sqrt{-1}) \) 672.587.1i $C_{12}:D_{28}$ $C_4$ $4$ 4.h1.d1 $168$ 1.a1.a1
672.587.1i2 $1$ C \(\Q(\sqrt{-1}) \) 672.587.1i $C_{12}:D_{28}$ $C_4$ $4$ 4.h1.d1 $168$ 1.a1.a1
672.587.1j1 $1$ C \(\Q(\sqrt{-1}) \) 672.587.1j $C_{12}:D_{28}$ $C_4$ $4$ 4.h1.c1 $168$ 1.a1.a1
672.587.1j2 $1$ C \(\Q(\sqrt{-1}) \) 672.587.1j $C_{12}:D_{28}$ $C_4$ $4$ 4.h1.c1 $168$ 1.a1.a1
672.587.1k1 $1$ C \(\Q(\sqrt{-1}) \) 672.587.1k $C_{12}:D_{28}$ $C_4$ $4$ 4.h1.b1 $168$ 1.a1.a1
672.587.1k2 $1$ C \(\Q(\sqrt{-1}) \) 672.587.1k $C_{12}:D_{28}$ $C_4$ $4$ 4.h1.b1 $168$ 1.a1.a1
672.587.1l1 $1$ C \(\Q(\sqrt{-1}) \) 672.587.1l $C_{12}:D_{28}$ $C_4$ $4$ 4.h1.a1 $168$ 1.a1.a1
672.587.1l2 $1$ C \(\Q(\sqrt{-1}) \) 672.587.1l $C_{12}:D_{28}$ $C_4$ $4$ 4.h1.a1 $168$ 1.a1.a1
672.587.2a $2$ R \(\Q\) 672.587.2a $C_{12}:D_{28}$ $S_3$ $6$ 6.a1.a1 $112$ 6.a1.a1
672.587.2b $2$ R \(\Q\) 672.587.2b $C_{12}:D_{28}$ $D_4$ $8$ 8.b1.a1 $84$ 4.c1.a1
672.587.2c $2$ R \(\Q\) 672.587.2c $C_{12}:D_{28}$ $D_4$ $8$ 8.b1.b1 $84$ 4.c1.a1
672.587.2d $2$ R \(\Q\) 672.587.2d $C_{12}:D_{28}$ $D_6$ $12$ 12.c1.a1 $56$ 6.a1.a1
672.587.2e $2$ R \(\Q\) 672.587.2e $C_{12}:D_{28}$ $D_6$ $12$ 12.b1.a1 $56$ 6.a1.a1
672.587.2f $2$ R \(\Q\) 672.587.2f $C_{12}:D_{28}$ $D_6$ $12$ 12.a1.a1 $56$ 6.a1.a1
672.587.2g1 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2g $C_{12}:D_{28}$ $D_4:C_2$ $16$ 16.c1.a1 $42$ 4.c1.a1
672.587.2g2 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2g $C_{12}:D_{28}$ $D_4:C_2$ $16$ 16.c1.a1 $42$ 4.c1.a1
672.587.2h1 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2h $C_{12}:D_{28}$ $C_4\times S_3$ $24$ 24.c1.b1 $28$ 6.a1.a1
672.587.2h2 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2h $C_{12}:D_{28}$ $C_4\times S_3$ $24$ 24.c1.b1 $28$ 6.a1.a1
672.587.2i1 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2i $C_{12}:D_{28}$ $C_4\times S_3$ $24$ 24.c1.a1 $28$ 6.a1.a1
672.587.2i2 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2i $C_{12}:D_{28}$ $C_4\times S_3$ $24$ 24.c1.a1 $28$ 6.a1.a1
672.587.2j1 $2$ C \(\Q(\sqrt{-3}) \) 672.587.2j $C_{12}:D_{28}$ $C_3:D_4$ $24$ 24.b1.a1 $28$ 12.b1.a1
672.587.2j2 $2$ C \(\Q(\sqrt{-3}) \) 672.587.2j $C_{12}:D_{28}$ $C_3:D_4$ $24$ 24.b1.a1 $28$ 12.b1.a1
672.587.2k1 $2$ C \(\Q(\sqrt{-3}) \) 672.587.2k $C_{12}:D_{28}$ $C_3:D_4$ $24$ 24.b1.b1 $28$ 12.b1.a1
672.587.2k2 $2$ C \(\Q(\sqrt{-3}) \) 672.587.2k $C_{12}:D_{28}$ $C_3:D_4$ $24$ 24.b1.b1 $28$ 12.b1.a1
672.587.2l1 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2l $C_{12}:D_{28}$ $D_7$ $14$ 14.a1.a1 $48$ 14.a1.a1
672.587.2l2 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2l $C_{12}:D_{28}$ $D_7$ $14$ 14.a1.a1 $48$ 14.a1.a1
672.587.2l3 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2l $C_{12}:D_{28}$ $D_7$ $14$ 14.a1.a1 $48$ 14.a1.a1
672.587.2m1 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2m $C_{12}:D_{28}$ $D_{14}$ $28$ 28.c1.a1 $24$ 14.a1.a1
672.587.2m2 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2m $C_{12}:D_{28}$ $D_{14}$ $28$ 28.c1.a1 $24$ 14.a1.a1
672.587.2m3 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2m $C_{12}:D_{28}$ $D_{14}$ $28$ 28.c1.a1 $24$ 14.a1.a1
672.587.2n1 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2n $C_{12}:D_{28}$ $D_{14}$ $28$ 28.b1.a1 $24$ 14.a1.a1
672.587.2n2 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2n $C_{12}:D_{28}$ $D_{14}$ $28$ 28.b1.a1 $24$ 14.a1.a1
672.587.2n3 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2n $C_{12}:D_{28}$ $D_{14}$ $28$ 28.b1.a1 $24$ 14.a1.a1
672.587.2o1 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2o $C_{12}:D_{28}$ $D_{14}$ $28$ 28.a1.a1 $24$ 14.a1.a1
672.587.2o2 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2o $C_{12}:D_{28}$ $D_{14}$ $28$ 28.a1.a1 $24$ 14.a1.a1
672.587.2o3 $2$ R \(\Q(\zeta_{7})^+\) 672.587.2o $C_{12}:D_{28}$ $D_{14}$ $28$ 28.a1.a1 $24$ 14.a1.a1
672.587.2p1 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2p $C_{12}:D_{28}$ $D_{12}:C_2$ $48$ 48.c1.a1 $14$ 12.b1.a1
672.587.2p2 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2p $C_{12}:D_{28}$ $D_{12}:C_2$ $48$ 48.c1.a1 $14$ 12.b1.a1
672.587.2p3 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2p $C_{12}:D_{28}$ $D_{12}:C_2$ $48$ 48.c1.a1 $14$ 12.b1.a1
672.587.2p4 $2$ C \(\Q(\sqrt{-1}) \) 672.587.2p $C_{12}:D_{28}$ $D_{12}:C_2$ $48$ 48.c1.a1 $14$ 12.b1.a1
672.587.2q1 $2$ C 6.0.153664.1 672.587.2q $C_{12}:D_{28}$ $C_4\times D_7$ $56$ 56.c1.b1 $12$ 14.a1.a1
672.587.2q2 $2$ C 6.0.153664.1 672.587.2q $C_{12}:D_{28}$ $C_4\times D_7$ $56$ 56.c1.b1 $12$ 14.a1.a1
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