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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
3888.di.1a $1$ R \(\Q\) 3888.di.1a $\GL(2,3).C_2^6$ $C_1$ $1$ 1.a1 $3888$ 1.a1
3888.di.1b $1$ R \(\Q\) 3888.di.1b $\GL(2,3).C_2^6$ $C_2$ $2$ 2.b1 $1944$ 1.a1
3888.di.1c $1$ R \(\Q\) 3888.di.1c $\GL(2,3).C_2^6$ $C_2$ $2$ 2.b1 $1944$ 1.a1
3888.di.1d $1$ R \(\Q\) 3888.di.1d $\GL(2,3).C_2^6$ $C_2$ $2$ 2.a1 $1944$ 1.a1
3888.di.1e1 $1$ C \(\Q(\sqrt{-3}) \) 3888.di.1e $\GL(2,3).C_2^6$ $C_3$ $3$ 3.a1 $1296$ 1.a1
3888.di.1e2 $1$ C \(\Q(\sqrt{-3}) \) 3888.di.1e $\GL(2,3).C_2^6$ $C_3$ $3$ 3.a1 $1296$ 1.a1
3888.di.1f1 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1f $\GL(2,3).C_2^6$ $C_4$ $4$ 4.b1 $972$ 1.a1
3888.di.1f2 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1f $\GL(2,3).C_2^6$ $C_4$ $4$ 4.b1 $972$ 1.a1
3888.di.1g1 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1g $\GL(2,3).C_2^6$ $C_4$ $4$ 4.b1 $972$ 1.a1
3888.di.1g2 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1g $\GL(2,3).C_2^6$ $C_4$ $4$ 4.b1 $972$ 1.a1
3888.di.1h1 $1$ C \(\Q(\sqrt{-3}) \) 3888.di.1h $\GL(2,3).C_2^6$ $C_6$ $6$ 6.b1 $648$ 1.a1
3888.di.1h2 $1$ C \(\Q(\sqrt{-3}) \) 3888.di.1h $\GL(2,3).C_2^6$ $C_6$ $6$ 6.b1 $648$ 1.a1
3888.di.1i1 $1$ C \(\Q(\sqrt{-3}) \) 3888.di.1i $\GL(2,3).C_2^6$ $C_6$ $6$ 6.b1 $648$ 1.a1
3888.di.1i2 $1$ C \(\Q(\sqrt{-3}) \) 3888.di.1i $\GL(2,3).C_2^6$ $C_6$ $6$ 6.b1 $648$ 1.a1
3888.di.1j1 $1$ C \(\Q(\sqrt{-3}) \) 3888.di.1j $\GL(2,3).C_2^6$ $C_6$ $6$ 6.a1 $648$ 1.a1
3888.di.1j2 $1$ C \(\Q(\sqrt{-3}) \) 3888.di.1j $\GL(2,3).C_2^6$ $C_6$ $6$ 6.a1 $648$ 1.a1
3888.di.1k1 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1k $\GL(2,3).C_2^6$ $C_{12}$ $12$ 12.b1 $324$ 1.a1
3888.di.1k2 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1k $\GL(2,3).C_2^6$ $C_{12}$ $12$ 12.b1 $324$ 1.a1
3888.di.1k3 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1k $\GL(2,3).C_2^6$ $C_{12}$ $12$ 12.b1 $324$ 1.a1
3888.di.1k4 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1k $\GL(2,3).C_2^6$ $C_{12}$ $12$ 12.b1 $324$ 1.a1
3888.di.1l1 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1l $\GL(2,3).C_2^6$ $C_{12}$ $12$ 12.b1 $324$ 1.a1
3888.di.1l2 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1l $\GL(2,3).C_2^6$ $C_{12}$ $12$ 12.b1 $324$ 1.a1
3888.di.1l3 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1l $\GL(2,3).C_2^6$ $C_{12}$ $12$ 12.b1 $324$ 1.a1
3888.di.1l4 $1$ C \(\Q(\sqrt{-1}) \) 3888.di.1l $\GL(2,3).C_2^6$ $C_{12}$ $12$ 12.b1 $324$ 1.a1
3888.di.2a $2$ R \(\Q\) 3888.di.2a $\GL(2,3).C_2^6$ $D_4$ $8$ 8.a1 $486$ 4.a1
3888.di.2b $2$ R \(\Q\) 3888.di.2b $\GL(2,3).C_2^6$ $D_4$ $8$ 8.a1 $486$ 4.a1
3888.di.2c1 $2$ C \(\Q(\sqrt{-3}) \) 3888.di.2c $\GL(2,3).C_2^6$ $C_3\times D_4$ $24$ 24.a1 $162$ 4.a1
3888.di.2c2 $2$ C \(\Q(\sqrt{-3}) \) 3888.di.2c $\GL(2,3).C_2^6$ $C_3\times D_4$ $24$ 24.a1 $162$ 4.a1
3888.di.2d1 $2$ C \(\Q(\sqrt{-3}) \) 3888.di.2d $\GL(2,3).C_2^6$ $C_3\times D_4$ $24$ 24.a1 $162$ 4.a1
3888.di.2d2 $2$ C \(\Q(\sqrt{-3}) \) 3888.di.2d $\GL(2,3).C_2^6$ $C_3\times D_4$ $24$ 24.a1 $162$ 4.a1
3888.di.4a $4$ R \(\Q\) 3888.di.4a $\GL(2,3).C_2^6$ $\SOPlus(4,2)$ $72$ 72.a1 $54$ 72.a1
3888.di.4aa1 $4$ C \(\Q(\sqrt{-1}) \) 3888.di.4aa $\GL(2,3).C_2^6$ $S_3^2:C_{12}$ $432$ 432.a1 $9$ 72.a1
3888.di.4aa2 $4$ C \(\Q(\sqrt{-1}) \) 3888.di.4aa $\GL(2,3).C_2^6$ $S_3^2:C_{12}$ $432$ 432.a1 $9$ 72.a1
3888.di.4aa3 $4$ C \(\Q(\sqrt{-1}) \) 3888.di.4aa $\GL(2,3).C_2^6$ $S_3^2:C_{12}$ $432$ 432.a1 $9$ 72.a1
3888.di.4aa4 $4$ C \(\Q(\sqrt{-1}) \) 3888.di.4aa $\GL(2,3).C_2^6$ $S_3^2:C_{12}$ $432$ 432.a1 $9$ 72.a1
3888.di.4ab1 $4$ C \(\Q(\sqrt{-1}) \) 3888.di.4ab $\GL(2,3).C_2^6$ $S_3^2:C_{12}$ $432$ 432.a1 $9$ 72.a1
3888.di.4ab2 $4$ C \(\Q(\sqrt{-1}) \) 3888.di.4ab $\GL(2,3).C_2^6$ $S_3^2:C_{12}$ $432$ 432.a1 $9$ 72.a1
3888.di.4ab3 $4$ C \(\Q(\sqrt{-1}) \) 3888.di.4ab $\GL(2,3).C_2^6$ $S_3^2:C_{12}$ $432$ 432.a1 $9$ 72.a1
3888.di.4ab4 $4$ C \(\Q(\sqrt{-1}) \) 3888.di.4ab $\GL(2,3).C_2^6$ $S_3^2:C_{12}$ $432$ 432.a1 $9$ 72.a1
3888.di.4b $4$ R \(\Q\) 3888.di.4b $\GL(2,3).C_2^6$ $\SOPlus(4,2)$ $72$ 72.a1 $54$ 72.a1
3888.di.4c $4$ R \(\Q\) 3888.di.4c $\GL(2,3).C_2^6$ $\SOPlus(4,2)$ $72$ 72.a1 $54$ 72.a1
3888.di.4d $4$ R \(\Q\) 3888.di.4d $\GL(2,3).C_2^6$ $\SOPlus(4,2)$ $72$ 72.a1 $54$ 72.a1
3888.di.4e $4$ R \(\Q\) 3888.di.4e $\GL(2,3).C_2^6$ $\SOPlus(4,2)$ $72$ 72.a1 $54$ 72.a1
3888.di.4f $4$ R \(\Q\) 3888.di.4f $\GL(2,3).C_2^6$ $\SOPlus(4,2)$ $72$ 72.a1 $54$ 72.a1
3888.di.4g $4$ R \(\Q\) 3888.di.4g $\GL(2,3).C_2^6$ $\SOPlus(4,2)$ $72$ 72.a1 $54$ 72.a1
3888.di.4h $4$ R \(\Q\) 3888.di.4h $\GL(2,3).C_2^6$ $\SOPlus(4,2)$ $72$ 72.a1 $54$ 72.a1
3888.di.4i $4$ R \(\Q\) 3888.di.4i $\GL(2,3).C_2^6$ $S_3^2:C_4$ $144$ 144.a1 $27$ 72.a1
3888.di.4j $4$ R \(\Q\) 3888.di.4j $\GL(2,3).C_2^6$ $S_3^2:C_4$ $144$ 144.a1 $27$ 72.a1
3888.di.4k $4$ R \(\Q\) 3888.di.4k $\GL(2,3).C_2^6$ $S_3^2:C_4$ $144$ 144.a1 $27$ 72.a1
3888.di.4l $4$ R \(\Q\) 3888.di.4l $\GL(2,3).C_2^6$ $S_3^2:C_4$ $144$ 144.a1 $27$ 72.a1
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