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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
432.207.1a $1$ R \(\Q\) 432.207.1a $C_4:C_4\times \He_3$ $C_1$ $1$ 1.a1 $432$ 1.a1
432.207.1aa1 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1aa $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1aa2 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1aa $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1aa3 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1aa $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1aa4 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1aa $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ab1 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ab $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ab2 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ab $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ab3 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ab $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ab4 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ab $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ac1 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ac $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ac2 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ac $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ac3 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ac $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ac4 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ac $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ad1 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ad $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ad2 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ad $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ad3 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ad $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1ad4 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1ad $C_4:C_4\times \He_3$ $C_{12}$ $12$ 12.b1 $36$ 1.a1
432.207.1b $1$ R \(\Q\) 432.207.1b $C_4:C_4\times \He_3$ $C_2$ $2$ 2.a1 $216$ 1.a1
432.207.1c $1$ R \(\Q\) 432.207.1c $C_4:C_4\times \He_3$ $C_2$ $2$ 2.b1 $216$ 1.a1
432.207.1d $1$ R \(\Q\) 432.207.1d $C_4:C_4\times \He_3$ $C_2$ $2$ 2.b1 $216$ 1.a1
432.207.1e1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1e $C_4:C_4\times \He_3$ $C_3$ $3$ 3.a1 $144$ 1.a1
432.207.1e2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1e $C_4:C_4\times \He_3$ $C_3$ $3$ 3.a1 $144$ 1.a1
432.207.1f1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1f $C_4:C_4\times \He_3$ $C_3$ $3$ 3.a1 $144$ 1.a1
432.207.1f2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1f $C_4:C_4\times \He_3$ $C_3$ $3$ 3.a1 $144$ 1.a1
432.207.1g1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1g $C_4:C_4\times \He_3$ $C_3$ $3$ 3.a1 $144$ 1.a1
432.207.1g2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1g $C_4:C_4\times \He_3$ $C_3$ $3$ 3.a1 $144$ 1.a1
432.207.1h1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1h $C_4:C_4\times \He_3$ $C_3$ $3$ 3.a1 $144$ 1.a1
432.207.1h2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1h $C_4:C_4\times \He_3$ $C_3$ $3$ 3.a1 $144$ 1.a1
432.207.1i1 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1i $C_4:C_4\times \He_3$ $C_4$ $4$ 4.b1 $108$ 1.a1
432.207.1i2 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1i $C_4:C_4\times \He_3$ $C_4$ $4$ 4.b1 $108$ 1.a1
432.207.1j1 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1j $C_4:C_4\times \He_3$ $C_4$ $4$ 4.b1 $108$ 1.a1
432.207.1j2 $1$ C \(\Q(\sqrt{-1}) \) 432.207.1j $C_4:C_4\times \He_3$ $C_4$ $4$ 4.b1 $108$ 1.a1
432.207.1k1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1k $C_4:C_4\times \He_3$ $C_6$ $6$ 6.a1 $72$ 1.a1
432.207.1k2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1k $C_4:C_4\times \He_3$ $C_6$ $6$ 6.a1 $72$ 1.a1
432.207.1l1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1l $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1l2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1l $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1m1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1m $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1m2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1m $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1n1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1n $C_4:C_4\times \He_3$ $C_6$ $6$ 6.a1 $72$ 1.a1
432.207.1n2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1n $C_4:C_4\times \He_3$ $C_6$ $6$ 6.a1 $72$ 1.a1
432.207.1o1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1o $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1o2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1o $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1p1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1p $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1p2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1p $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1q1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1q $C_4:C_4\times \He_3$ $C_6$ $6$ 6.a1 $72$ 1.a1
432.207.1q2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1q $C_4:C_4\times \He_3$ $C_6$ $6$ 6.a1 $72$ 1.a1
432.207.1r1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1r $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1r2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1r $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1s1 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1s $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
432.207.1s2 $1$ C \(\Q(\sqrt{-3}) \) 432.207.1s $C_4:C_4\times \He_3$ $C_6$ $6$ 6.b1 $72$ 1.a1
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