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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
256.24038.1a $1$ R \(\Q\) 256.24038.1a $C_2^2.D_4^2$ $C_1$ $1$ 1.a1.a1 $256$ 1.a1.a1
256.24038.1b $1$ R \(\Q\) 256.24038.1b $C_2^2.D_4^2$ $C_2$ $2$ 2.g1.a1 $128$ 1.a1.a1
256.24038.1c $1$ R \(\Q\) 256.24038.1c $C_2^2.D_4^2$ $C_2$ $2$ 2.f1.a1 $128$ 1.a1.a1
256.24038.1d $1$ R \(\Q\) 256.24038.1d $C_2^2.D_4^2$ $C_2$ $2$ 2.k1.a1 $128$ 1.a1.a1
256.24038.1e $1$ R \(\Q\) 256.24038.1e $C_2^2.D_4^2$ $C_2$ $2$ 2.j1.a1 $128$ 1.a1.a1
256.24038.1f $1$ R \(\Q\) 256.24038.1f $C_2^2.D_4^2$ $C_2$ $2$ 2.e1.a1 $128$ 1.a1.a1
256.24038.1g $1$ R \(\Q\) 256.24038.1g $C_2^2.D_4^2$ $C_2$ $2$ 2.d1.a1 $128$ 1.a1.a1
256.24038.1h $1$ R \(\Q\) 256.24038.1h $C_2^2.D_4^2$ $C_2$ $2$ 2.i1.a1 $128$ 1.a1.a1
256.24038.1i $1$ R \(\Q\) 256.24038.1i $C_2^2.D_4^2$ $C_2$ $2$ 2.h1.a1 $128$ 1.a1.a1
256.24038.1j $1$ R \(\Q\) 256.24038.1j $C_2^2.D_4^2$ $C_2$ $2$ 2.o1.a1 $128$ 1.a1.a1
256.24038.1k $1$ R \(\Q\) 256.24038.1k $C_2^2.D_4^2$ $C_2$ $2$ 2.n1.a1 $128$ 1.a1.a1
256.24038.1l $1$ R \(\Q\) 256.24038.1l $C_2^2.D_4^2$ $C_2$ $2$ 2.c1.a1 $128$ 1.a1.a1
256.24038.1m $1$ R \(\Q\) 256.24038.1m $C_2^2.D_4^2$ $C_2$ $2$ 2.b1.a1 $128$ 1.a1.a1
256.24038.1n $1$ R \(\Q\) 256.24038.1n $C_2^2.D_4^2$ $C_2$ $2$ 2.m1.a1 $128$ 1.a1.a1
256.24038.1o $1$ R \(\Q\) 256.24038.1o $C_2^2.D_4^2$ $C_2$ $2$ 2.l1.a1 $128$ 1.a1.a1
256.24038.1p $1$ R \(\Q\) 256.24038.1p $C_2^2.D_4^2$ $C_2$ $2$ 2.a1.a1 $128$ 1.a1.a1
256.24038.2a $2$ R \(\Q\) 256.24038.2a $C_2^2.D_4^2$ $D_4$ $8$ 8.u1.a1 $32$ 4.b1.a1
256.24038.2b $2$ R \(\Q\) 256.24038.2b $C_2^2.D_4^2$ $D_4$ $8$ 8.q1.a1 $32$ 4.b1.a1
256.24038.2c $2$ R \(\Q\) 256.24038.2c $C_2^2.D_4^2$ $D_4$ $8$ 8.v1.a1 $32$ 4.j1.a1
256.24038.2d $2$ R \(\Q\) 256.24038.2d $C_2^2.D_4^2$ $D_4$ $8$ 8.w1.a1 $32$ 4.j1.a1
256.24038.2e $2$ R \(\Q\) 256.24038.2e $C_2^2.D_4^2$ $D_4$ $8$ 8.r1.a1 $32$ 4.j1.a1
256.24038.2f $2$ R \(\Q\) 256.24038.2f $C_2^2.D_4^2$ $D_4$ $8$ 8.s1.a1 $32$ 4.j1.a1
256.24038.2g $2$ R \(\Q\) 256.24038.2g $C_2^2.D_4^2$ $D_4$ $8$ 8.t1.a1 $32$ 4.b1.a1
256.24038.2h $2$ R \(\Q\) 256.24038.2h $C_2^2.D_4^2$ $D_4$ $8$ 8.p1.a1 $32$ 4.b1.a1
256.24038.2i1 $2$ C \(\Q(\sqrt{-1}) \) 256.24038.2i $C_2^2.D_4^2$ $D_4:C_2$ $16$ 16.n1.a1 $16$ 4.s1.a1
256.24038.2i2 $2$ C \(\Q(\sqrt{-1}) \) 256.24038.2i $C_2^2.D_4^2$ $D_4:C_2$ $16$ 16.n1.a1 $16$ 4.s1.a1
256.24038.2j1 $2$ C \(\Q(\sqrt{-1}) \) 256.24038.2j $C_2^2.D_4^2$ $D_4:C_2$ $16$ 16.n1.b1 $16$ 4.s1.a1
256.24038.2j2 $2$ C \(\Q(\sqrt{-1}) \) 256.24038.2j $C_2^2.D_4^2$ $D_4:C_2$ $16$ 16.n1.b1 $16$ 4.s1.a1
256.24038.4a $4$ R \(\Q\) 256.24038.4a $C_2^2.D_4^2$ $D_4:C_2^2$ $32$ 32.f1.a1 $8$ 16.a1.a1
256.24038.4b $4$ R \(\Q\) 256.24038.4b $C_2^2.D_4^2$ $D_4:C_2^2$ $32$ 32.g1.a1 $8$ 16.a1.a1
256.24038.4c $4$ R \(\Q\) 256.24038.4c $C_2^2.D_4^2$ $D_4:C_2^2$ $32$ 32.d1.a1 $8$ 16.a1.a1
256.24038.4d $4$ R \(\Q\) 256.24038.4d $C_2^2.D_4^2$ $D_4:C_2^2$ $32$ 32.a1.a1 $8$ 16.a1.a1
256.24038.4e1 $4$ C \(\Q(\sqrt{-2}) \) 256.24038.4e $C_2^2.D_4^2$ $D_8:D_4$ $128$ 128.b1.a1 $2$ 64.a1.a1
256.24038.4e2 $4$ C \(\Q(\sqrt{-2}) \) 256.24038.4e $C_2^2.D_4^2$ $D_8:D_4$ $128$ 128.b1.a1 $2$ 64.a1.a1
256.24038.4f1 $4$ C \(\Q(\sqrt{-2}) \) 256.24038.4f $C_2^2.D_4^2$ $D_8:D_4$ $128$ 128.b1.a1 $2$ 64.a1.a1
256.24038.4f2 $4$ C \(\Q(\sqrt{-2}) \) 256.24038.4f $C_2^2.D_4^2$ $D_8:D_4$ $128$ 128.b1.a1 $2$ 64.a1.a1
256.24038.4g1 $4$ C \(\Q(\zeta_{8})\) 256.24038.4g $C_2^2.D_4^2$ $C_2.D_4^2$ $128$ 128.c1.a1 $2$ 64.a1.a1
256.24038.4g2 $4$ C \(\Q(\zeta_{8})\) 256.24038.4g $C_2^2.D_4^2$ $C_2.D_4^2$ $128$ 128.c1.a1 $2$ 64.a1.a1
256.24038.4g3 $4$ C \(\Q(\zeta_{8})\) 256.24038.4g $C_2^2.D_4^2$ $C_2.D_4^2$ $128$ 128.c1.a1 $2$ 64.a1.a1
256.24038.4g4 $4$ C \(\Q(\zeta_{8})\) 256.24038.4g $C_2^2.D_4^2$ $C_2.D_4^2$ $128$ 128.c1.a1 $2$ 64.a1.a1
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