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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
116640.v.1a $1$ R \(\Q\) 116640.v.1a $C_3\wr S_3\times S_6$ $C_1$ $1$ 1.a1 $116640$ 1.a1
116640.v.1b $1$ R \(\Q\) 116640.v.1b $C_3\wr S_3\times S_6$ $C_2$ $2$ 2.c1 $58320$ 1.a1
116640.v.1c $1$ R \(\Q\) 116640.v.1c $C_3\wr S_3\times S_6$ $C_2$ $2$ 2.b1 $58320$ 1.a1
116640.v.1d $1$ R \(\Q\) 116640.v.1d $C_3\wr S_3\times S_6$ $C_2$ $2$ 2.a1 $58320$ 1.a1
116640.v.1e1 $1$ C \(\Q(\sqrt{-3}) \) 116640.v.1e $C_3\wr S_3\times S_6$ $C_3$ $3$ 3.a1 $38880$ 1.a1
116640.v.1e2 $1$ C \(\Q(\sqrt{-3}) \) 116640.v.1e $C_3\wr S_3\times S_6$ $C_3$ $3$ 3.a1 $38880$ 1.a1
116640.v.1f1 $1$ C \(\Q(\sqrt{-3}) \) 116640.v.1f $C_3\wr S_3\times S_6$ $C_6$ $6$ 6.d1 $19440$ 1.a1
116640.v.1f2 $1$ C \(\Q(\sqrt{-3}) \) 116640.v.1f $C_3\wr S_3\times S_6$ $C_6$ $6$ 6.d1 $19440$ 1.a1
116640.v.1g1 $1$ C \(\Q(\sqrt{-3}) \) 116640.v.1g $C_3\wr S_3\times S_6$ $C_6$ $6$ 6.c1 $19440$ 1.a1
116640.v.1g2 $1$ C \(\Q(\sqrt{-3}) \) 116640.v.1g $C_3\wr S_3\times S_6$ $C_6$ $6$ 6.c1 $19440$ 1.a1
116640.v.1h1 $1$ C \(\Q(\sqrt{-3}) \) 116640.v.1h $C_3\wr S_3\times S_6$ $C_6$ $6$ 6.a1 $19440$ 1.a1
116640.v.1h2 $1$ C \(\Q(\sqrt{-3}) \) 116640.v.1h $C_3\wr S_3\times S_6$ $C_6$ $6$ 6.a1 $19440$ 1.a1
116640.v.2a $2$ R \(\Q\) 116640.v.2a $C_3\wr S_3\times S_6$ $S_3$ $6$ 6.b1 $19440$ 6.b1
116640.v.2b $2$ R \(\Q\) 116640.v.2b $C_3\wr S_3\times S_6$ $D_6$ $12$ 12.a1 $9720$ 6.b1
116640.v.2c1 $2$ C \(\Q(\sqrt{-3}) \) 116640.v.2c $C_3\wr S_3\times S_6$ $C_3\times S_3$ $18$ 18.a1 $6480$ 6.b1
116640.v.2c2 $2$ C \(\Q(\sqrt{-3}) \) 116640.v.2c $C_3\wr S_3\times S_6$ $C_3\times S_3$ $18$ 18.a1 $6480$ 6.b1
116640.v.2d1 $2$ C \(\Q(\sqrt{-3}) \) 116640.v.2d $C_3\wr S_3\times S_6$ $C_6\times S_3$ $36$ 36.a1 $3240$ 6.b1
116640.v.2d2 $2$ C \(\Q(\sqrt{-3}) \) 116640.v.2d $C_3\wr S_3\times S_6$ $C_6\times S_3$ $36$ 36.a1 $3240$ 6.b1
116640.v.3a1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3a $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3a2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3a $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3b1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3b $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3b2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3b $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3c1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3c $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3c2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3c $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3d1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3d $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3d2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3d $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3e1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3e $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3e2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3e $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3f1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3f $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3f2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3f $C_3\wr S_3\times S_6$ $C_3\wr S_3$ $162$ 162.a1 $720$ 54.a1
116640.v.3g1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3g $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3g2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3g $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3h1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3h $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3h2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3h $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3i1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3i $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3i2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3i $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3j1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3j $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3j2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3j $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3k1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3k $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3k2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3k $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3l1 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3l $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.3l2 $3$ C \(\Q(\sqrt{-3}) \) 116640.v.3l $C_3\wr S_3\times S_6$ $C_3^3:D_6$ $324$ 324.a1 $360$ 54.a1
116640.v.5a $5$ R \(\Q\) 116640.v.5a $C_3\wr S_3\times S_6$ $S_6$ $720$ 720.a1 $162$ 720.a1
116640.v.5b $5$ R \(\Q\) 116640.v.5b $C_3\wr S_3\times S_6$ $S_6$ $720$ 720.a1 $162$ 720.a1
116640.v.5c $5$ R \(\Q\) 116640.v.5c $C_3\wr S_3\times S_6$ $S_6$ $720$ 720.a1 $162$ 720.a1
116640.v.5d $5$ R \(\Q\) 116640.v.5d $C_3\wr S_3\times S_6$ $S_6$ $720$ 720.a1 $162$ 720.a1
116640.v.5e $5$ R \(\Q\) 116640.v.5e $C_3\wr S_3\times S_6$ $C_2\times S_6$ $1440$ 1440.a1 $81$ 720.a1
116640.v.5f $5$ R \(\Q\) 116640.v.5f $C_3\wr S_3\times S_6$ $C_2\times S_6$ $1440$ 1440.a1 $81$ 720.a1
116640.v.5g $5$ R \(\Q\) 116640.v.5g $C_3\wr S_3\times S_6$ $C_2\times S_6$ $1440$ 1440.a1 $81$ 720.a1
116640.v.5h $5$ R \(\Q\) 116640.v.5h $C_3\wr S_3\times S_6$ $C_2\times S_6$ $1440$ 1440.a1 $81$ 720.a1
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