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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
576.8678.1a $1$ R \(\Q\) 576.8678.1a $C_2^6:C_3^2$ $C_1$ $1$ 1.a1 $576$ 1.a1
576.8678.1b1 $1$ C \(\Q(\sqrt{-3}) \) 576.8678.1b $C_2^6:C_3^2$ $C_3$ $3$ 3.b1 $192$ 1.a1
576.8678.1b2 $1$ C \(\Q(\sqrt{-3}) \) 576.8678.1b $C_2^6:C_3^2$ $C_3$ $3$ 3.b1 $192$ 1.a1
576.8678.1c1 $1$ C \(\Q(\sqrt{-3}) \) 576.8678.1c $C_2^6:C_3^2$ $C_3$ $3$ 3.b1 $192$ 1.a1
576.8678.1c2 $1$ C \(\Q(\sqrt{-3}) \) 576.8678.1c $C_2^6:C_3^2$ $C_3$ $3$ 3.b1 $192$ 1.a1
576.8678.1d1 $1$ C \(\Q(\sqrt{-3}) \) 576.8678.1d $C_2^6:C_3^2$ $C_3$ $3$ 3.b1 $192$ 1.a1
576.8678.1d2 $1$ C \(\Q(\sqrt{-3}) \) 576.8678.1d $C_2^6:C_3^2$ $C_3$ $3$ 3.b1 $192$ 1.a1
576.8678.1e1 $1$ C \(\Q(\sqrt{-3}) \) 576.8678.1e $C_2^6:C_3^2$ $C_3$ $3$ 3.a1 $192$ 1.a1
576.8678.1e2 $1$ C \(\Q(\sqrt{-3}) \) 576.8678.1e $C_2^6:C_3^2$ $C_3$ $3$ 3.a1 $192$ 1.a1
576.8678.3a $3$ R \(\Q\) 576.8678.3a $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
576.8678.3aa1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3aa $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3aa2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3aa $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ab1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ab $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ab2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ab $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ac1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ac $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ac2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ac $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ad1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ad $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ad2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ad $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ae1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ae $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ae2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ae $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3af1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3af $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3af2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3af $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ag1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ag $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ag2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ag $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ah1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ah $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ah2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ah $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ai1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ai $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ai2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ai $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3aj1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3aj $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3aj2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3aj $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ak1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ak $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ak2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ak $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3al1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3al $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3al2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3al $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3am1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3am $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3am2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3am $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3an1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3an $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3an2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3an $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ao1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ao $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ao2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ao $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ap1 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ap $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3ap2 $3$ C \(\Q(\sqrt{-3}) \) 576.8678.3ap $C_2^6:C_3^2$ $C_3\times A_4$ $36$ 36.a1 $16$ 12.a1
576.8678.3b $3$ R \(\Q\) 576.8678.3b $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
576.8678.3c $3$ R \(\Q\) 576.8678.3c $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
576.8678.3d $3$ R \(\Q\) 576.8678.3d $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
576.8678.3e $3$ R \(\Q\) 576.8678.3e $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
576.8678.3f $3$ R \(\Q\) 576.8678.3f $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
576.8678.3g $3$ R \(\Q\) 576.8678.3g $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
576.8678.3h $3$ R \(\Q\) 576.8678.3h $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
576.8678.3i $3$ R \(\Q\) 576.8678.3i $C_2^6:C_3^2$ $A_4$ $12$ 12.a1 $48$ 12.a1
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