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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
576.3910.1a $1$ R \(\Q\) 576.3910.1a $C_6.D_4\times C_{12}$ $C_1$ $1$ 1.a1 $576$ 1.a1
576.3910.1aa1 $1$ C \(\Q(\sqrt{-3}) \) 576.3910.1aa $C_6.D_4\times C_{12}$ $C_6$ $6$ 6.d1 $96$ 1.a1
576.3910.1aa2 $1$ C \(\Q(\sqrt{-3}) \) 576.3910.1aa $C_6.D_4\times C_{12}$ $C_6$ $6$ 6.d1 $96$ 1.a1
576.3910.1ab1 $1$ C \(\Q(\sqrt{-3}) \) 576.3910.1ab $C_6.D_4\times C_{12}$ $C_6$ $6$ 6.b1 $96$ 1.a1
576.3910.1ab2 $1$ C \(\Q(\sqrt{-3}) \) 576.3910.1ab $C_6.D_4\times C_{12}$ $C_6$ $6$ 6.b1 $96$ 1.a1
576.3910.1ac1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ac $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ac2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ac $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ac3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ac $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ac4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ac $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ad1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ad $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ad2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ad $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ad3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ad $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ad4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ad $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ae1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ae $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ae2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ae $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ae3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ae $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ae4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ae $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1af1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1af $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1af2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1af $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1af3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1af $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1af4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1af $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ag1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ag $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ag2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ag $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ag3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ag $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ag4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ag $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ah1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ah $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ah2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ah $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ah3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ah $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ah4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ah $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ai1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ai $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ai2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ai $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ai3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ai $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ai4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ai $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1aj1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1aj $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1aj2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1aj $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1aj3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1aj $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1aj4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1aj $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.i1 $48$ 1.a1
576.3910.1ak1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ak $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ak2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ak $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ak3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ak $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1ak4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1ak $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1al1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1al $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1al2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1al $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1al3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1al $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1al4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1al $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1am1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1am $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1am2 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1am $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1am3 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1am $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1am4 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1am $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
576.3910.1an1 $1$ C \(\Q(\sqrt{-1}) \) 576.3910.1an $C_6.D_4\times C_{12}$ $C_{12}$ $12$ 12.a1 $48$ 1.a1
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