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Results (34 matches)

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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
256.3482.1a $1$ R \(\Q\) 256.3482.1a $C_4^2.(C_2\times D_4)$ $C_1$ $1$ 1.a1.a1 $256$ 1.a1.a1
256.3482.1b $1$ R \(\Q\) 256.3482.1b $C_4^2.(C_2\times D_4)$ $C_2$ $2$ 2.f1.a1 $128$ 1.a1.a1
256.3482.1c $1$ R \(\Q\) 256.3482.1c $C_4^2.(C_2\times D_4)$ $C_2$ $2$ 2.g1.a1 $128$ 1.a1.a1
256.3482.1d $1$ R \(\Q\) 256.3482.1d $C_4^2.(C_2\times D_4)$ $C_2$ $2$ 2.e1.a1 $128$ 1.a1.a1
256.3482.1e $1$ R \(\Q\) 256.3482.1e $C_4^2.(C_2\times D_4)$ $C_2$ $2$ 2.d1.a1 $128$ 1.a1.a1
256.3482.1f $1$ R \(\Q\) 256.3482.1f $C_4^2.(C_2\times D_4)$ $C_2$ $2$ 2.b1.a1 $128$ 1.a1.a1
256.3482.1g $1$ R \(\Q\) 256.3482.1g $C_4^2.(C_2\times D_4)$ $C_2$ $2$ 2.c1.a1 $128$ 1.a1.a1
256.3482.1h $1$ R \(\Q\) 256.3482.1h $C_4^2.(C_2\times D_4)$ $C_2$ $2$ 2.a1.a1 $128$ 1.a1.a1
256.3482.2a $2$ R \(\Q\) 256.3482.2a $C_4^2.(C_2\times D_4)$ $D_4$ $8$ 8.g1.a1 $32$ 4.d1.a1
256.3482.2b $2$ R \(\Q\) 256.3482.2b $C_4^2.(C_2\times D_4)$ $D_4$ $8$ 8.h1.a1 $32$ 4.d1.a1
256.3482.2c $2$ R \(\Q\) 256.3482.2c $C_4^2.(C_2\times D_4)$ $D_4$ $8$ 8.e1.a1 $32$ 4.b1.a1
256.3482.2d $2$ R \(\Q\) 256.3482.2d $C_4^2.(C_2\times D_4)$ $D_4$ $8$ 8.f1.a1 $32$ 4.b1.a1
256.3482.2e $2$ R \(\Q\) 256.3482.2e $C_4^2.(C_2\times D_4)$ $D_4$ $8$ 8.c1.a1 $32$ 4.c1.a1
256.3482.2f $2$ R \(\Q\) 256.3482.2f $C_4^2.(C_2\times D_4)$ $D_4$ $8$ 8.d1.a1 $32$ 4.c1.a1
256.3482.2g $2$ R \(\Q\) 256.3482.2g $C_4^2.(C_2\times D_4)$ $D_4$ $8$ 8.b1.a1 $32$ 4.a1.a1
256.3482.2h $2$ R \(\Q\) 256.3482.2h $C_4^2.(C_2\times D_4)$ $D_4$ $8$ 8.b1.b1 $32$ 4.a1.a1
256.3482.2i1 $2$ C \(\Q(\sqrt{-1}) \) 256.3482.2i $C_4^2.(C_2\times D_4)$ $D_4:C_2$ $16$ 16.g1.a1 $16$ 4.g1.a1
256.3482.2i2 $2$ C \(\Q(\sqrt{-1}) \) 256.3482.2i $C_4^2.(C_2\times D_4)$ $D_4:C_2$ $16$ 16.g1.a1 $16$ 4.g1.a1
256.3482.2j1 $2$ C \(\Q(\sqrt{-1}) \) 256.3482.2j $C_4^2.(C_2\times D_4)$ $D_4:C_2$ $16$ 16.b1.a1 $16$ 4.f1.a1
256.3482.2j2 $2$ C \(\Q(\sqrt{-1}) \) 256.3482.2j $C_4^2.(C_2\times D_4)$ $D_4:C_2$ $16$ 16.b1.a1 $16$ 4.f1.a1
256.3482.2k1 $2$ C \(\Q(\sqrt{-1}) \) 256.3482.2k $C_4^2.(C_2\times D_4)$ $D_4:C_2$ $16$ 16.a1.a1 $16$ 4.e1.a1
256.3482.2k2 $2$ C \(\Q(\sqrt{-1}) \) 256.3482.2k $C_4^2.(C_2\times D_4)$ $D_4:C_2$ $16$ 16.a1.a1 $16$ 4.e1.a1
256.3482.4a $4$ S \(\Q\) 256.3482.4a $C_4^2.(C_2\times D_4)$ $D_4.D_4$ $64$ 64.f1.a1 $4$ 32.d1.a1
256.3482.4b $4$ S \(\Q\) 256.3482.4b $C_4^2.(C_2\times D_4)$ $D_4.D_4$ $64$ 64.f1.a1 $4$ 32.d1.a1
256.3482.4c1 $4$ C \(\Q(\sqrt{-2}) \) 256.3482.4c $C_4^2.(C_2\times D_4)$ $C_8.D_4$ $64$ 64.e1.a1 $4$ 32.c1.a1
256.3482.4c2 $4$ C \(\Q(\sqrt{-2}) \) 256.3482.4c $C_4^2.(C_2\times D_4)$ $C_8.D_4$ $64$ 64.e1.a1 $4$ 32.c1.a1
256.3482.4d1 $4$ C \(\Q(\sqrt{-2}) \) 256.3482.4d $C_4^2.(C_2\times D_4)$ $C_8.D_4$ $64$ 64.d1.a1 $4$ 32.c1.a1
256.3482.4d2 $4$ C \(\Q(\sqrt{-2}) \) 256.3482.4d $C_4^2.(C_2\times D_4)$ $C_8.D_4$ $64$ 64.d1.a1 $4$ 32.c1.a1
256.3482.4e1 $4$ C \(\Q(\sqrt{-2}) \) 256.3482.4e $C_4^2.(C_2\times D_4)$ $C_8.D_4$ $64$ 64.c1.a1 $4$ 32.b1.a1
256.3482.4e2 $4$ C \(\Q(\sqrt{-2}) \) 256.3482.4e $C_4^2.(C_2\times D_4)$ $C_8.D_4$ $64$ 64.c1.a1 $4$ 32.b1.a1
256.3482.4f1 $4$ C \(\Q(\sqrt{-1}) \) 256.3482.4f $C_4^2.(C_2\times D_4)$ $D_4.D_4$ $64$ 64.g1.a1 $4$ 32.d1.a1
256.3482.4f2 $4$ C \(\Q(\sqrt{-1}) \) 256.3482.4f $C_4^2.(C_2\times D_4)$ $D_4.D_4$ $64$ 64.g1.a1 $4$ 32.d1.a1
256.3482.4g1 $4$ S \(\Q(\sqrt{2}) \) 256.3482.4g $C_4^2.(C_2\times D_4)$ $C_8.D_4$ $64$ 64.b1.a1 $4$ 32.b1.a1
256.3482.4g2 $4$ S \(\Q(\sqrt{2}) \) 256.3482.4g $C_4^2.(C_2\times D_4)$ $C_8.D_4$ $64$ 64.b1.a1 $4$ 32.b1.a1
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