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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
672.1271.1a $1$ R \(\Q\) 672.1271.1a $C_{21}:C_2^5$ $C_1$ $1$ 1.a1 $672$ 1.a1
672.1271.1aa $1$ R \(\Q\) 672.1271.1aa $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1ab $1$ R \(\Q\) 672.1271.1ab $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1ac $1$ R \(\Q\) 672.1271.1ac $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1ad $1$ R \(\Q\) 672.1271.1ad $C_{21}:C_2^5$ $C_2$ $2$ 2.d1 $336$ 1.a1
672.1271.1ae $1$ R \(\Q\) 672.1271.1ae $C_{21}:C_2^5$ $C_2$ $2$ 2.c1 $336$ 1.a1
672.1271.1af $1$ R \(\Q\) 672.1271.1af $C_{21}:C_2^5$ $C_2$ $2$ 2.b1 $336$ 1.a1
672.1271.1b $1$ R \(\Q\) 672.1271.1b $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1c $1$ R \(\Q\) 672.1271.1c $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1d $1$ R \(\Q\) 672.1271.1d $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1e $1$ R \(\Q\) 672.1271.1e $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1f $1$ R \(\Q\) 672.1271.1f $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1g $1$ R \(\Q\) 672.1271.1g $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1h $1$ R \(\Q\) 672.1271.1h $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1i $1$ R \(\Q\) 672.1271.1i $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1j $1$ R \(\Q\) 672.1271.1j $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1k $1$ R \(\Q\) 672.1271.1k $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1l $1$ R \(\Q\) 672.1271.1l $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1m $1$ R \(\Q\) 672.1271.1m $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1n $1$ R \(\Q\) 672.1271.1n $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1o $1$ R \(\Q\) 672.1271.1o $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1p $1$ R \(\Q\) 672.1271.1p $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1q $1$ R \(\Q\) 672.1271.1q $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1r $1$ R \(\Q\) 672.1271.1r $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1s $1$ R \(\Q\) 672.1271.1s $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1t $1$ R \(\Q\) 672.1271.1t $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1u $1$ R \(\Q\) 672.1271.1u $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1v $1$ R \(\Q\) 672.1271.1v $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1w $1$ R \(\Q\) 672.1271.1w $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1x $1$ R \(\Q\) 672.1271.1x $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1y $1$ R \(\Q\) 672.1271.1y $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.1z $1$ R \(\Q\) 672.1271.1z $C_{21}:C_2^5$ $C_2$ $2$ 2.a1 $336$ 1.a1
672.1271.2a $2$ R \(\Q\) 672.1271.2a $C_{21}:C_2^5$ $S_3$ $6$ 6.a1 $112$ 6.a1
672.1271.2aa1 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2aa $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2aa2 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2aa $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2aa3 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2aa $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ab1 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ab $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ab2 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ab $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ab3 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ab $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ac1 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ac $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ac2 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ac $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ac3 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ac $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ad1 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ad $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ad2 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ad $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ad3 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ad $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ae1 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ae $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ae2 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ae $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2ae3 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2ae $C_{21}:C_2^5$ $D_{14}$ $28$ 28.a1 $24$ 14.a1
672.1271.2af1 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2af $C_{21}:C_2^5$ $D_{14}$ $28$ 28.b1 $24$ 14.a1
672.1271.2af2 $2$ R \(\Q(\zeta_{7})^+\) 672.1271.2af $C_{21}:C_2^5$ $D_{14}$ $28$ 28.b1 $24$ 14.a1
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