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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
672.1203.1a $1$ R \(\Q\) 672.1203.1a $C_{84}.C_2^3$ $C_1$ $1$ 1.a1 $672$ 1.a1
672.1203.1aa1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1aa $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1aa2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1aa $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1ab1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1ab $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1ab2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1ab $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1ac1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1ac $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1ac2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1ac $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1ad1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1ad $C_{84}.C_2^3$ $C_6$ $6$ 6.c1 $112$ 1.a1
672.1203.1ad2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1ad $C_{84}.C_2^3$ $C_6$ $6$ 6.c1 $112$ 1.a1
672.1203.1ae1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1ae $C_{84}.C_2^3$ $C_6$ $6$ 6.c1 $112$ 1.a1
672.1203.1ae2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1ae $C_{84}.C_2^3$ $C_6$ $6$ 6.c1 $112$ 1.a1
672.1203.1af1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1af $C_{84}.C_2^3$ $C_6$ $6$ 6.b1 $112$ 1.a1
672.1203.1af2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1af $C_{84}.C_2^3$ $C_6$ $6$ 6.b1 $112$ 1.a1
672.1203.1b $1$ R \(\Q\) 672.1203.1b $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1c $1$ R \(\Q\) 672.1203.1c $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1d $1$ R \(\Q\) 672.1203.1d $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1e $1$ R \(\Q\) 672.1203.1e $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1f $1$ R \(\Q\) 672.1203.1f $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1g $1$ R \(\Q\) 672.1203.1g $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1h $1$ R \(\Q\) 672.1203.1h $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1i $1$ R \(\Q\) 672.1203.1i $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1j $1$ R \(\Q\) 672.1203.1j $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1k $1$ R \(\Q\) 672.1203.1k $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1l $1$ R \(\Q\) 672.1203.1l $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1m $1$ R \(\Q\) 672.1203.1m $C_{84}.C_2^3$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1203.1n $1$ R \(\Q\) 672.1203.1n $C_{84}.C_2^3$ $C_2$ $2$ 2.c1 $336$ 1.a1
672.1203.1o $1$ R \(\Q\) 672.1203.1o $C_{84}.C_2^3$ $C_2$ $2$ 2.c1 $336$ 1.a1
672.1203.1p $1$ R \(\Q\) 672.1203.1p $C_{84}.C_2^3$ $C_2$ $2$ 2.b1 $336$ 1.a1
672.1203.1q1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1q $C_{84}.C_2^3$ $C_3$ $3$ 3.a1 $224$ 1.a1
672.1203.1q2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1q $C_{84}.C_2^3$ $C_3$ $3$ 3.a1 $224$ 1.a1
672.1203.1r1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1r $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1r2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1r $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1s1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1s $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1s2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1s $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1t1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1t $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1t2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1t $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1u1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1u $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1u2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1u $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1v1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1v $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1v2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1v $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1w1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1w $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1w2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1w $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1x1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1x $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1x2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1x $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1y1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1y $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1y2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1y $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1z1 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1z $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.1z2 $1$ C \(\Q(\sqrt{-3}) \) 672.1203.1z $C_{84}.C_2^3$ $C_6$ $6$ 6.a1 $112$ 1.a1
672.1203.2a $2$ S \(\Q\) 672.1203.2a $C_{84}.C_2^3$ $Q_8$ $8$ 8.d1 $84$ 4.c1
672.1203.2aa1 $2$ S \(\Q(\zeta_{28})^+\) 672.1203.2aa $C_{84}.C_2^3$ $C_7:Q_8$ $56$ 56.c1 $12$ 28.b1
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