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Results (28 matches)

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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
384.20080.1a $1$ R \(\Q\) 384.20080.1a $C_2^4:D_{12}$ $C_1$ $1$ 1.a1 $384$ 1.a1
384.20080.1b $1$ R \(\Q\) 384.20080.1b $C_2^4:D_{12}$ $C_2$ $2$ 2.b1 $192$ 1.a1
384.20080.1c $1$ R \(\Q\) 384.20080.1c $C_2^4:D_{12}$ $C_2$ $2$ 2.a1 $192$ 1.a1
384.20080.1d $1$ R \(\Q\) 384.20080.1d $C_2^4:D_{12}$ $C_2$ $2$ 2.a1 $192$ 1.a1
384.20080.2a $2$ R \(\Q\) 384.20080.2a $C_2^4:D_{12}$ $S_3$ $6$ 6.a1 $64$ 6.a1
384.20080.2b $2$ R \(\Q\) 384.20080.2b $C_2^4:D_{12}$ $D_4$ $8$ 8.a1 $48$ 4.a1
384.20080.2c $2$ R \(\Q\) 384.20080.2c $C_2^4:D_{12}$ $D_6$ $12$ 12.a1 $32$ 6.a1
384.20080.2d1 $2$ R \(\Q(\sqrt{3}) \) 384.20080.2d $C_2^4:D_{12}$ $D_{12}$ $24$ 24.b1 $16$ 12.a1
384.20080.2d2 $2$ R \(\Q(\sqrt{3}) \) 384.20080.2d $C_2^4:D_{12}$ $D_{12}$ $24$ 24.b1 $16$ 12.a1
384.20080.3a $3$ R \(\Q\) 384.20080.3a $C_2^4:D_{12}$ $S_4$ $24$ 24.a1 $16$ 24.a1
384.20080.3b $3$ R \(\Q\) 384.20080.3b $C_2^4:D_{12}$ $S_4$ $24$ 24.a1 $16$ 24.a1
384.20080.3c $3$ R \(\Q\) 384.20080.3c $C_2^4:D_{12}$ $S_4$ $24$ 24.a1 $16$ 24.a1
384.20080.3d $3$ R \(\Q\) 384.20080.3d $C_2^4:D_{12}$ $S_4$ $24$ 24.a1 $16$ 24.a1
384.20080.3e $3$ R \(\Q\) 384.20080.3e $C_2^4:D_{12}$ $S_4$ $24$ 24.a1 $16$ 24.a1
384.20080.3f $3$ R \(\Q\) 384.20080.3f $C_2^4:D_{12}$ $S_4$ $24$ 24.a1 $16$ 24.a1
384.20080.3g $3$ R \(\Q\) 384.20080.3g $C_2^4:D_{12}$ $C_2\times S_4$ $48$ 48.a1 $8$ 24.a1
384.20080.3h $3$ R \(\Q\) 384.20080.3h $C_2^4:D_{12}$ $C_2\times S_4$ $48$ 48.a1 $8$ 24.a1
384.20080.3i $3$ R \(\Q\) 384.20080.3i $C_2^4:D_{12}$ $C_2\times S_4$ $48$ 48.a1 $8$ 24.a1
384.20080.3j $3$ R \(\Q\) 384.20080.3j $C_2^4:D_{12}$ $C_2\times S_4$ $48$ 48.a1 $8$ 24.a1
384.20080.3k $3$ R \(\Q\) 384.20080.3k $C_2^4:D_{12}$ $C_2\times S_4$ $48$ 48.a1 $8$ 24.a1
384.20080.3l $3$ R \(\Q\) 384.20080.3l $C_2^4:D_{12}$ $C_2\times S_4$ $48$ 48.a1 $8$ 24.a1
384.20080.6a $6$ R \(\Q\) 384.20080.6a $C_2^4:D_{12}$ $C_2^2:S_4$ $96$ 96.a1 $4$ 96.a1
384.20080.6b $6$ R \(\Q\) 384.20080.6b $C_2^4:D_{12}$ $C_4:S_4$ $96$ 96.b1 $4$ 48.a1
384.20080.6c $6$ R \(\Q\) 384.20080.6c $C_2^4:D_{12}$ $C_4:S_4$ $96$ 96.b1 $4$ 48.a1
384.20080.6d $6$ R \(\Q\) 384.20080.6d $C_2^4:D_{12}$ $C_4:S_4$ $96$ 96.b1 $4$ 48.a1
384.20080.6e $6$ R \(\Q\) 384.20080.6e $C_2^4:D_{12}$ $C_2^3:S_4$ $192$ 192.a1 $2$ 96.a1
384.20080.6f1 $6$ C \(\Q(\sqrt{-1}) \) 384.20080.6f $C_2^4:D_{12}$ $C_2^4:D_{12}$ $384$ 384.a1 $1$ 192.a1
384.20080.6f2 $6$ C \(\Q(\sqrt{-1}) \) 384.20080.6f $C_2^4:D_{12}$ $C_2^4:D_{12}$ $384$ 384.a1 $1$ 192.a1
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