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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
256.11590.1a $1$ R \(\Q\) 256.11590.1a $C_4^2.C_2^4$ $C_1$ $1$ 1.a1.a1 $256$ 1.a1.a1
256.11590.1b $1$ R \(\Q\) 256.11590.1b $C_4^2.C_2^4$ $C_2$ $2$ 2.k1.b1 $128$ 1.a1.a1
256.11590.1c $1$ R \(\Q\) 256.11590.1c $C_4^2.C_2^4$ $C_2$ $2$ 2.k1.a1 $128$ 1.a1.a1
256.11590.1d $1$ R \(\Q\) 256.11590.1d $C_4^2.C_2^4$ $C_2$ $2$ 2.j1.b1 $128$ 1.a1.a1
256.11590.1e $1$ R \(\Q\) 256.11590.1e $C_4^2.C_2^4$ $C_2$ $2$ 2.j1.a1 $128$ 1.a1.a1
256.11590.1f $1$ R \(\Q\) 256.11590.1f $C_4^2.C_2^4$ $C_2$ $2$ 2.i1.b1 $128$ 1.a1.a1
256.11590.1g $1$ R \(\Q\) 256.11590.1g $C_4^2.C_2^4$ $C_2$ $2$ 2.i1.a1 $128$ 1.a1.a1
256.11590.1h $1$ R \(\Q\) 256.11590.1h $C_4^2.C_2^4$ $C_2$ $2$ 2.h1.b1 $128$ 1.a1.a1
256.11590.1i $1$ R \(\Q\) 256.11590.1i $C_4^2.C_2^4$ $C_2$ $2$ 2.h1.a1 $128$ 1.a1.a1
256.11590.1j $1$ R \(\Q\) 256.11590.1j $C_4^2.C_2^4$ $C_2$ $2$ 2.g1.a1 $128$ 1.a1.a1
256.11590.1k $1$ R \(\Q\) 256.11590.1k $C_4^2.C_2^4$ $C_2$ $2$ 2.f1.a1 $128$ 1.a1.a1
256.11590.1l $1$ R \(\Q\) 256.11590.1l $C_4^2.C_2^4$ $C_2$ $2$ 2.e1.a1 $128$ 1.a1.a1
256.11590.1m $1$ R \(\Q\) 256.11590.1m $C_4^2.C_2^4$ $C_2$ $2$ 2.d1.a1 $128$ 1.a1.a1
256.11590.1n $1$ R \(\Q\) 256.11590.1n $C_4^2.C_2^4$ $C_2$ $2$ 2.c1.a1 $128$ 1.a1.a1
256.11590.1o $1$ R \(\Q\) 256.11590.1o $C_4^2.C_2^4$ $C_2$ $2$ 2.b1.a1 $128$ 1.a1.a1
256.11590.1p $1$ R \(\Q\) 256.11590.1p $C_4^2.C_2^4$ $C_2$ $2$ 2.a1.a1 $128$ 1.a1.a1
256.11590.2a $2$ R \(\Q\) 256.11590.2a $C_4^2.C_2^4$ $D_4$ $8$ 8.f1.b1 $32$ 4.a1.a1
256.11590.2b $2$ R \(\Q\) 256.11590.2b $C_4^2.C_2^4$ $D_4$ $8$ 8.q1.b1 $32$ 4.c1.a1
256.11590.2c $2$ R \(\Q\) 256.11590.2c $C_4^2.C_2^4$ $D_4$ $8$ 8.q1.a1 $32$ 4.c1.a1
256.11590.2d $2$ R \(\Q\) 256.11590.2d $C_4^2.C_2^4$ $D_4$ $8$ 8.s1.a1 $32$ 4.d1.a1
256.11590.2e $2$ R \(\Q\) 256.11590.2e $C_4^2.C_2^4$ $D_4$ $8$ 8.r1.a1 $32$ 4.d1.a1
256.11590.2f $2$ R \(\Q\) 256.11590.2f $C_4^2.C_2^4$ $D_4$ $8$ 8.f1.a1 $32$ 4.a1.a1
256.11590.2g $2$ R \(\Q\) 256.11590.2g $C_4^2.C_2^4$ $D_4$ $8$ 8.a1.b1 $32$ 4.a1.a1
256.11590.2h $2$ R \(\Q\) 256.11590.2h $C_4^2.C_2^4$ $D_4$ $8$ 8.d1.a1 $32$ 4.c1.a1
256.11590.2i $2$ R \(\Q\) 256.11590.2i $C_4^2.C_2^4$ $D_4$ $8$ 8.c1.a1 $32$ 4.c1.a1
256.11590.2j $2$ R \(\Q\) 256.11590.2j $C_4^2.C_2^4$ $D_4$ $8$ 8.e1.b1 $32$ 4.d1.a1
256.11590.2k $2$ R \(\Q\) 256.11590.2k $C_4^2.C_2^4$ $D_4$ $8$ 8.e1.a1 $32$ 4.d1.a1
256.11590.2l $2$ R \(\Q\) 256.11590.2l $C_4^2.C_2^4$ $D_4$ $8$ 8.a1.a1 $32$ 4.a1.a1
256.11590.4a1 $4$ C \(\Q(\sqrt{-1}) \) 256.11590.4a $C_4^2.C_2^4$ $D_8:C_2^2$ $64$ 64.c1.b1 $4$ 16.g1.a1
256.11590.4a2 $4$ C \(\Q(\sqrt{-1}) \) 256.11590.4a $C_4^2.C_2^4$ $D_8:C_2^2$ $64$ 64.c1.b1 $4$ 16.g1.a1
256.11590.4b1 $4$ C \(\Q(\sqrt{-1}) \) 256.11590.4b $C_4^2.C_2^4$ $D_8:C_2^2$ $64$ 64.c1.a1 $4$ 16.g1.b1
256.11590.4b2 $4$ C \(\Q(\sqrt{-1}) \) 256.11590.4b $C_4^2.C_2^4$ $D_8:C_2^2$ $64$ 64.c1.a1 $4$ 16.g1.b1
256.11590.4c1 $4$ C \(\Q(\sqrt{-2}) \) 256.11590.4c $C_4^2.C_2^4$ $D_8:C_2^2$ $64$ 64.b1.a1 $4$ 32.c1.a1
256.11590.4c2 $4$ C \(\Q(\sqrt{-2}) \) 256.11590.4c $C_4^2.C_2^4$ $D_8:C_2^2$ $64$ 64.b1.a1 $4$ 32.c1.a1
256.11590.4d1 $4$ C \(\Q(\sqrt{-2}) \) 256.11590.4d $C_4^2.C_2^4$ $D_8:C_2^2$ $64$ 64.b1.b1 $4$ 32.c1.a1
256.11590.4d2 $4$ C \(\Q(\sqrt{-2}) \) 256.11590.4d $C_4^2.C_2^4$ $D_8:C_2^2$ $64$ 64.b1.b1 $4$ 32.c1.a1
256.11590.4e1 $4$ C \(\Q(\sqrt{-1}) \) 256.11590.4e $C_4^2.C_2^4$ $C_4^2.C_2^3$ $128$ 128.b1.a1 $2$ 32.d1.a1
256.11590.4e2 $4$ C \(\Q(\sqrt{-1}) \) 256.11590.4e $C_4^2.C_2^4$ $C_4^2.C_2^3$ $128$ 128.b1.a1 $2$ 32.d1.a1
256.11590.4f1 $4$ C \(\Q(\sqrt{-1}) \) 256.11590.4f $C_4^2.C_2^4$ $C_4^2.C_2^3$ $128$ 128.b1.a1 $2$ 32.d1.a1
256.11590.4f2 $4$ C \(\Q(\sqrt{-1}) \) 256.11590.4f $C_4^2.C_2^4$ $C_4^2.C_2^3$ $128$ 128.b1.a1 $2$ 32.d1.a1
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