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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
256.5615.1a $1$ R \(\Q\) 256.5615.1a $C_4^2:C_4^2$ $C_1$ $1$ 1.a1.a1 $256$ 1.a1.a1
256.5615.1b $1$ R \(\Q\) 256.5615.1b $C_4^2:C_4^2$ $C_2$ $2$ 2.c1.b1 $128$ 1.a1.a1
256.5615.1c $1$ R \(\Q\) 256.5615.1c $C_4^2:C_4^2$ $C_2$ $2$ 2.c1.a1 $128$ 1.a1.a1
256.5615.1d $1$ R \(\Q\) 256.5615.1d $C_4^2:C_4^2$ $C_2$ $2$ 2.d1.b1 $128$ 1.a1.a1
256.5615.1e $1$ R \(\Q\) 256.5615.1e $C_4^2:C_4^2$ $C_2$ $2$ 2.d1.a1 $128$ 1.a1.a1
256.5615.1f $1$ R \(\Q\) 256.5615.1f $C_4^2:C_4^2$ $C_2$ $2$ 2.b1.b1 $128$ 1.a1.a1
256.5615.1g $1$ R \(\Q\) 256.5615.1g $C_4^2:C_4^2$ $C_2$ $2$ 2.b1.a1 $128$ 1.a1.a1
256.5615.1h $1$ R \(\Q\) 256.5615.1h $C_4^2:C_4^2$ $C_2$ $2$ 2.a1.a1 $128$ 1.a1.a1
256.5615.1i1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1i $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.b1 $64$ 1.a1.a1
256.5615.1i2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1i $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.b1 $64$ 1.a1.a1
256.5615.1j1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1j $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.a1 $64$ 1.a1.a1
256.5615.1j2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1j $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.a1 $64$ 1.a1.a1
256.5615.1k1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1k $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.d1 $64$ 1.a1.a1
256.5615.1k2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1k $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.d1 $64$ 1.a1.a1
256.5615.1l1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1l $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.c1 $64$ 1.a1.a1
256.5615.1l2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1l $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.c1 $64$ 1.a1.a1
256.5615.1m1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1m $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.h1 $64$ 1.a1.a1
256.5615.1m2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1m $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.h1 $64$ 1.a1.a1
256.5615.1n1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1n $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.g1 $64$ 1.a1.a1
256.5615.1n2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1n $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.g1 $64$ 1.a1.a1
256.5615.1o1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1o $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.f1 $64$ 1.a1.a1
256.5615.1o2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1o $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.f1 $64$ 1.a1.a1
256.5615.1p1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1p $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.e1 $64$ 1.a1.a1
256.5615.1p2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1p $C_4^2:C_4^2$ $C_4$ $4$ 4.i1.e1 $64$ 1.a1.a1
256.5615.1q1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1q $C_4^2:C_4^2$ $C_4$ $4$ 4.h1.a1 $64$ 1.a1.a1
256.5615.1q2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1q $C_4^2:C_4^2$ $C_4$ $4$ 4.h1.a1 $64$ 1.a1.a1
256.5615.1r1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1r $C_4^2:C_4^2$ $C_4$ $4$ 4.g1.a1 $64$ 1.a1.a1
256.5615.1r2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1r $C_4^2:C_4^2$ $C_4$ $4$ 4.g1.a1 $64$ 1.a1.a1
256.5615.1s1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1s $C_4^2:C_4^2$ $C_4$ $4$ 4.e1.a1 $64$ 1.a1.a1
256.5615.1s2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1s $C_4^2:C_4^2$ $C_4$ $4$ 4.e1.a1 $64$ 1.a1.a1
256.5615.1t1 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1t $C_4^2:C_4^2$ $C_4$ $4$ 4.f1.a1 $64$ 1.a1.a1
256.5615.1t2 $1$ C \(\Q(\sqrt{-1}) \) 256.5615.1t $C_4^2:C_4^2$ $C_4$ $4$ 4.f1.a1 $64$ 1.a1.a1
256.5615.2a $2$ R \(\Q\) 256.5615.2a $C_4^2:C_4^2$ $D_4$ $8$ 8.b1.b1 $32$ 4.a1.a1
256.5615.2b $2$ R \(\Q\) 256.5615.2b $C_4^2:C_4^2$ $D_4$ $8$ 8.a1.b1 $32$ 4.a1.a1
256.5615.2c $2$ R \(\Q\) 256.5615.2c $C_4^2:C_4^2$ $D_4$ $8$ 8.b1.a1 $32$ 4.a1.a1
256.5615.2d $2$ R \(\Q\) 256.5615.2d $C_4^2:C_4^2$ $D_4$ $8$ 8.a1.a1 $32$ 4.a1.a1
256.5615.2e1 $2$ C \(\Q(\sqrt{-1}) \) 256.5615.2e $C_4^2:C_4^2$ $D_4:C_2$ $16$ 16.g1.a1 $16$ 4.a1.a1
256.5615.2e2 $2$ C \(\Q(\sqrt{-1}) \) 256.5615.2e $C_4^2:C_4^2$ $D_4:C_2$ $16$ 16.g1.a1 $16$ 4.a1.a1
256.5615.2f1 $2$ C \(\Q(\sqrt{-1}) \) 256.5615.2f $C_4^2:C_4^2$ $D_4:C_2$ $16$ 16.g1.b1 $16$ 4.a1.a1
256.5615.2f2 $2$ C \(\Q(\sqrt{-1}) \) 256.5615.2f $C_4^2:C_4^2$ $D_4:C_2$ $16$ 16.g1.b1 $16$ 4.a1.a1
256.5615.4a $4$ R \(\Q\) 256.5615.4a $C_4^2:C_4^2$ $C_2^3:C_4$ $32$ 32.b1.b1 $8$ 16.b1.a1
256.5615.4b $4$ R \(\Q\) 256.5615.4b $C_4^2:C_4^2$ $C_2^3:C_4$ $32$ 32.b1.a1 $8$ 16.b1.a1
256.5615.4c1 $4$ C \(\Q(\sqrt{-1}) \) 256.5615.4c $C_4^2:C_4^2$ $C_2^3.C_2^3$ $64$ 64.c1.a1 $4$ 16.b1.a1
256.5615.4c2 $4$ C \(\Q(\sqrt{-1}) \) 256.5615.4c $C_4^2:C_4^2$ $C_2^3.C_2^3$ $64$ 64.c1.a1 $4$ 16.b1.a1
256.5615.8a $8$ R \(\Q\) 256.5615.8a $C_4^2:C_4^2$ $C_2^4.D_4$ $128$ 128.a1.a1 $2$ 64.a1.a1
256.5615.8b $8$ S \(\Q\) 256.5615.8b $C_4^2:C_4^2$ $(C_2^2\times Q_8):C_4$ $128$ 128.c1.a1 $2$ 64.a1.a1
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