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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
972.798.1a $1$ R \(\Q\) 972.798.1a $C_3^3:S_3^2$ $C_1$ $1$ 1.a1.a1 $972$ 1.a1.a1
972.798.1b $1$ R \(\Q\) 972.798.1b $C_3^3:S_3^2$ $C_2$ $2$ 2.b1.b1 $486$ 1.a1.a1
972.798.1c $1$ R \(\Q\) 972.798.1c $C_3^3:S_3^2$ $C_2$ $2$ 2.b1.a1 $486$ 1.a1.a1
972.798.1d $1$ R \(\Q\) 972.798.1d $C_3^3:S_3^2$ $C_2$ $2$ 2.a1.a1 $486$ 1.a1.a1
972.798.1e1 $1$ C \(\Q(\sqrt{-3}) \) 972.798.1e $C_3^3:S_3^2$ $C_3$ $3$ 3.a1.a1 $324$ 1.a1.a1
972.798.1e2 $1$ C \(\Q(\sqrt{-3}) \) 972.798.1e $C_3^3:S_3^2$ $C_3$ $3$ 3.a1.a1 $324$ 1.a1.a1
972.798.1f1 $1$ C \(\Q(\sqrt{-3}) \) 972.798.1f $C_3^3:S_3^2$ $C_6$ $6$ 6.d1.b1 $162$ 1.a1.a1
972.798.1f2 $1$ C \(\Q(\sqrt{-3}) \) 972.798.1f $C_3^3:S_3^2$ $C_6$ $6$ 6.d1.b1 $162$ 1.a1.a1
972.798.1g1 $1$ C \(\Q(\sqrt{-3}) \) 972.798.1g $C_3^3:S_3^2$ $C_6$ $6$ 6.d1.a1 $162$ 1.a1.a1
972.798.1g2 $1$ C \(\Q(\sqrt{-3}) \) 972.798.1g $C_3^3:S_3^2$ $C_6$ $6$ 6.d1.a1 $162$ 1.a1.a1
972.798.1h1 $1$ C \(\Q(\sqrt{-3}) \) 972.798.1h $C_3^3:S_3^2$ $C_6$ $6$ 6.b1.a1 $162$ 1.a1.a1
972.798.1h2 $1$ C \(\Q(\sqrt{-3}) \) 972.798.1h $C_3^3:S_3^2$ $C_6$ $6$ 6.b1.a1 $162$ 1.a1.a1
972.798.2a $2$ R \(\Q\) 972.798.2a $C_3^3:S_3^2$ $S_3$ $6$ 6.c1.b1 $162$ 6.c1.b1
972.798.2b $2$ R \(\Q\) 972.798.2b $C_3^3:S_3^2$ $S_3$ $6$ 6.c1.a1 $162$ 6.c1.a1
972.798.2c $2$ R \(\Q\) 972.798.2c $C_3^3:S_3^2$ $S_3$ $6$ 6.a1.a1 $162$ 6.a1.a1
972.798.2d $2$ R \(\Q\) 972.798.2d $C_3^3:S_3^2$ $D_6$ $12$ 12.b1.a1 $81$ 6.a1.a1
972.798.2e $2$ R \(\Q\) 972.798.2e $C_3^3:S_3^2$ $D_6$ $12$ 12.a1.b1 $81$ 6.c1.a1
972.798.2f $2$ R \(\Q\) 972.798.2f $C_3^3:S_3^2$ $D_6$ $12$ 12.a1.a1 $81$ 6.c1.b1
972.798.2g1 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2g $C_3^3:S_3^2$ $C_3\times S_3$ $18$ 18.b1.b1 $54$ 6.c1.b1
972.798.2g2 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2g $C_3^3:S_3^2$ $C_3\times S_3$ $18$ 18.b1.b1 $54$ 6.c1.b1
972.798.2h1 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2h $C_3^3:S_3^2$ $C_3\times S_3$ $18$ 18.b1.a1 $54$ 6.c1.a1
972.798.2h2 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2h $C_3^3:S_3^2$ $C_3\times S_3$ $18$ 18.b1.a1 $54$ 6.c1.a1
972.798.2i1 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2i $C_3^3:S_3^2$ $C_3\times S_3$ $18$ 18.a1.a1 $54$ 6.a1.a1
972.798.2i2 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2i $C_3^3:S_3^2$ $C_3\times S_3$ $18$ 18.a1.a1 $54$ 6.a1.a1
972.798.2j1 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2j $C_3^3:S_3^2$ $C_6\times S_3$ $36$ 36.c1.a1 $27$ 6.a1.a1
972.798.2j2 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2j $C_3^3:S_3^2$ $C_6\times S_3$ $36$ 36.c1.a1 $27$ 6.a1.a1
972.798.2k1 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2k $C_3^3:S_3^2$ $C_6\times S_3$ $36$ 36.b1.b1 $27$ 6.c1.a1
972.798.2k2 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2k $C_3^3:S_3^2$ $C_6\times S_3$ $36$ 36.b1.b1 $27$ 6.c1.a1
972.798.2l1 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2l $C_3^3:S_3^2$ $C_6\times S_3$ $36$ 36.b1.a1 $27$ 6.c1.b1
972.798.2l2 $2$ C \(\Q(\sqrt{-3}) \) 972.798.2l $C_3^3:S_3^2$ $C_6\times S_3$ $36$ 36.b1.a1 $27$ 6.c1.b1
972.798.4a $4$ R \(\Q\) 972.798.4a $C_3^3:S_3^2$ $S_3^2$ $36$ 36.d1.a1 $27$ 36.d1.a1
972.798.4b $4$ R \(\Q\) 972.798.4b $C_3^3:S_3^2$ $S_3^2$ $36$ 36.a1.b1 $27$ 36.a1.b1
972.798.4c $4$ R \(\Q\) 972.798.4c $C_3^3:S_3^2$ $S_3^2$ $36$ 36.a1.a1 $27$ 36.a1.a1
972.798.4d1 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4d $C_3^3:S_3^2$ $C_3\times S_3^2$ $108$ 108.c1.a1 $9$ 36.d1.a1
972.798.4d2 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4d $C_3^3:S_3^2$ $C_3\times S_3^2$ $108$ 108.c1.a1 $9$ 36.d1.a1
972.798.4e1 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4e $C_3^3:S_3^2$ $C_3\times S_3^2$ $108$ 108.a1.b1 $9$ 36.a1.b1
972.798.4e2 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4e $C_3^3:S_3^2$ $C_3\times S_3^2$ $108$ 108.a1.b1 $9$ 36.a1.b1
972.798.4f1 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4f $C_3^3:S_3^2$ $C_3\times S_3^2$ $108$ 108.a1.a1 $9$ 36.a1.a1
972.798.4f2 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4f $C_3^3:S_3^2$ $C_3\times S_3^2$ $108$ 108.a1.a1 $9$ 36.a1.a1
972.798.4g1 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4g $C_3^3:S_3^2$ $C_3:S_3^2$ $108$ 108.b1.a1 $9$ 108.b1.a1
972.798.4g2 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4g $C_3^3:S_3^2$ $C_3:S_3^2$ $108$ 108.b1.a1 $9$ 108.b1.a1
972.798.4h1 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4h $C_3^3:S_3^2$ $C_3\wr C_2^2$ $324$ 324.a1.a1 $3$ 108.b1.a1
972.798.4h2 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4h $C_3^3:S_3^2$ $C_3\wr C_2^2$ $324$ 324.a1.a1 $3$ 108.b1.a1
972.798.4i1 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4i $C_3^3:S_3^2$ $C_3\wr C_2^2$ $324$ 324.a1.a1 $3$ 108.b1.a1
972.798.4i2 $4$ C \(\Q(\sqrt{-3}) \) 972.798.4i $C_3^3:S_3^2$ $C_3\wr C_2^2$ $324$ 324.a1.a1 $3$ 108.b1.a1
972.798.6a $6$ R \(\Q\) 972.798.6a $C_3^3:S_3^2$ $C_3^2:C_6$ $54$ 54.a1.a1 $18$ 54.a1.a1
972.798.6b $6$ R \(\Q\) 972.798.6b $C_3^3:S_3^2$ $C_3^2:D_6$ $108$ 108.d1.a1 $9$ 54.a1.a1
972.798.12a $12$ R \(\Q\) 972.798.12a $C_3^3:S_3^2$ $C_3^2:S_3^2$ $324$ 324.b1.b1 $3$ 324.b1.b1
972.798.12b $12$ R \(\Q\) 972.798.12b $C_3^3:S_3^2$ $C_3^2:S_3^2$ $324$ 324.b1.a1 $3$ 324.b1.a1
972.798.12c1 $12$ C \(\Q(\sqrt{-3}) \) 972.798.12c $C_3^3:S_3^2$ $C_3^3:S_3^2$ $972$ 972.a1.a1 $1$ 972.a1.a1
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