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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
256.18790.1a $1$ R \(\Q\) 256.18790.1a $C_4.D_4^2$ $C_1$ $1$ 1.a1.a1 $256$ 1.a1.a1
256.18790.1b $1$ R \(\Q\) 256.18790.1b $C_4.D_4^2$ $C_2$ $2$ 2.o1.a1 $128$ 1.a1.a1
256.18790.1c $1$ R \(\Q\) 256.18790.1c $C_4.D_4^2$ $C_2$ $2$ 2.n1.a1 $128$ 1.a1.a1
256.18790.1d $1$ R \(\Q\) 256.18790.1d $C_4.D_4^2$ $C_2$ $2$ 2.m1.a1 $128$ 1.a1.a1
256.18790.1e $1$ R \(\Q\) 256.18790.1e $C_4.D_4^2$ $C_2$ $2$ 2.l1.a1 $128$ 1.a1.a1
256.18790.1f $1$ R \(\Q\) 256.18790.1f $C_4.D_4^2$ $C_2$ $2$ 2.k1.a1 $128$ 1.a1.a1
256.18790.1g $1$ R \(\Q\) 256.18790.1g $C_4.D_4^2$ $C_2$ $2$ 2.j1.a1 $128$ 1.a1.a1
256.18790.1h $1$ R \(\Q\) 256.18790.1h $C_4.D_4^2$ $C_2$ $2$ 2.i1.a1 $128$ 1.a1.a1
256.18790.1i $1$ R \(\Q\) 256.18790.1i $C_4.D_4^2$ $C_2$ $2$ 2.h1.a1 $128$ 1.a1.a1
256.18790.1j $1$ R \(\Q\) 256.18790.1j $C_4.D_4^2$ $C_2$ $2$ 2.g1.a1 $128$ 1.a1.a1
256.18790.1k $1$ R \(\Q\) 256.18790.1k $C_4.D_4^2$ $C_2$ $2$ 2.f1.a1 $128$ 1.a1.a1
256.18790.1l $1$ R \(\Q\) 256.18790.1l $C_4.D_4^2$ $C_2$ $2$ 2.e1.a1 $128$ 1.a1.a1
256.18790.1m $1$ R \(\Q\) 256.18790.1m $C_4.D_4^2$ $C_2$ $2$ 2.d1.a1 $128$ 1.a1.a1
256.18790.1n $1$ R \(\Q\) 256.18790.1n $C_4.D_4^2$ $C_2$ $2$ 2.c1.a1 $128$ 1.a1.a1
256.18790.1o $1$ R \(\Q\) 256.18790.1o $C_4.D_4^2$ $C_2$ $2$ 2.b1.a1 $128$ 1.a1.a1
256.18790.1p $1$ R \(\Q\) 256.18790.1p $C_4.D_4^2$ $C_2$ $2$ 2.a1.a1 $128$ 1.a1.a1
256.18790.2a $2$ R \(\Q\) 256.18790.2a $C_4.D_4^2$ $D_4$ $8$ 8.w1.d1 $32$ 4.d1.a1
256.18790.2b $2$ R \(\Q\) 256.18790.2b $C_4.D_4^2$ $D_4$ $8$ 8.w1.c1 $32$ 4.d1.a1
256.18790.2c $2$ R \(\Q\) 256.18790.2c $C_4.D_4^2$ $D_4$ $8$ 8.x1.c1 $32$ 4.u1.a1
256.18790.2d $2$ R \(\Q\) 256.18790.2d $C_4.D_4^2$ $D_4$ $8$ 8.x1.d1 $32$ 4.u1.a1
256.18790.2e $2$ R \(\Q\) 256.18790.2e $C_4.D_4^2$ $D_4$ $8$ 8.x1.a1 $32$ 4.u1.a1
256.18790.2f $2$ R \(\Q\) 256.18790.2f $C_4.D_4^2$ $D_4$ $8$ 8.x1.b1 $32$ 4.u1.a1
256.18790.2g $2$ R \(\Q\) 256.18790.2g $C_4.D_4^2$ $D_4$ $8$ 8.w1.b1 $32$ 4.d1.a1
256.18790.2h $2$ R \(\Q\) 256.18790.2h $C_4.D_4^2$ $D_4$ $8$ 8.w1.a1 $32$ 4.d1.a1
256.18790.2i $2$ R \(\Q\) 256.18790.2i $C_4.D_4^2$ $D_4$ $8$ 8.v1.c1 $32$ 4.g1.a1
256.18790.2j $2$ R \(\Q\) 256.18790.2j $C_4.D_4^2$ $D_4$ $8$ 8.v1.d1 $32$ 4.g1.a1
256.18790.2k $2$ R \(\Q\) 256.18790.2k $C_4.D_4^2$ $D_4$ $8$ 8.v1.a1 $32$ 4.g1.a1
256.18790.2l $2$ R \(\Q\) 256.18790.2l $C_4.D_4^2$ $D_4$ $8$ 8.v1.b1 $32$ 4.g1.a1
256.18790.2m $2$ R \(\Q\) 256.18790.2m $C_4.D_4^2$ $D_4$ $8$ 8.u1.b1 $32$ 4.e1.a1
256.18790.2n $2$ R \(\Q\) 256.18790.2n $C_4.D_4^2$ $D_4$ $8$ 8.u1.a1 $32$ 4.e1.a1
256.18790.2o $2$ R \(\Q\) 256.18790.2o $C_4.D_4^2$ $D_4$ $8$ 8.t1.a1 $32$ 4.h1.a1
256.18790.2p $2$ R \(\Q\) 256.18790.2p $C_4.D_4^2$ $D_4$ $8$ 8.s1.a1 $32$ 4.h1.a1
256.18790.2q $2$ R \(\Q\) 256.18790.2q $C_4.D_4^2$ $D_4$ $8$ 8.r1.a1 $32$ 4.h1.a1
256.18790.2r $2$ R \(\Q\) 256.18790.2r $C_4.D_4^2$ $D_4$ $8$ 8.q1.a1 $32$ 4.h1.a1
256.18790.2s $2$ R \(\Q\) 256.18790.2s $C_4.D_4^2$ $D_4$ $8$ 8.p1.b1 $32$ 4.e1.a1
256.18790.2t $2$ R \(\Q\) 256.18790.2t $C_4.D_4^2$ $D_4$ $8$ 8.p1.a1 $32$ 4.e1.a1
256.18790.4a $4$ R \(\Q\) 256.18790.4a $C_4.D_4^2$ $D_4:C_2^2$ $32$ 32.e1.a1 $8$ 16.a1.a1
256.18790.4b $4$ R \(\Q\) 256.18790.4b $C_4.D_4^2$ $D_4:C_2^2$ $32$ 32.a1.a1 $8$ 16.a1.a1
256.18790.4c1 $4$ C \(\Q(\sqrt{-2}) \) 256.18790.4c $C_4.D_4^2$ $D_8:D_4$ $128$ 128.b1.b1 $2$ 64.a1.a1
256.18790.4c2 $4$ C \(\Q(\sqrt{-2}) \) 256.18790.4c $C_4.D_4^2$ $D_8:D_4$ $128$ 128.b1.b1 $2$ 64.a1.a1
256.18790.4d1 $4$ C \(\Q(\sqrt{-2}) \) 256.18790.4d $C_4.D_4^2$ $D_8:D_4$ $128$ 128.b1.b1 $2$ 64.a1.a1
256.18790.4d2 $4$ C \(\Q(\sqrt{-2}) \) 256.18790.4d $C_4.D_4^2$ $D_8:D_4$ $128$ 128.b1.b1 $2$ 64.a1.a1
256.18790.4e1 $4$ C \(\Q(\sqrt{-2}) \) 256.18790.4e $C_4.D_4^2$ $D_8:D_4$ $128$ 128.b1.a1 $2$ 64.a1.a1
256.18790.4e2 $4$ C \(\Q(\sqrt{-2}) \) 256.18790.4e $C_4.D_4^2$ $D_8:D_4$ $128$ 128.b1.a1 $2$ 64.a1.a1
256.18790.4f1 $4$ C \(\Q(\sqrt{-2}) \) 256.18790.4f $C_4.D_4^2$ $D_8:D_4$ $128$ 128.b1.a1 $2$ 64.a1.a1
256.18790.4f2 $4$ C \(\Q(\sqrt{-2}) \) 256.18790.4f $C_4.D_4^2$ $D_8:D_4$ $128$ 128.b1.a1 $2$ 64.a1.a1
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