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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1280.1116446.1a $1$ R \(\Q\) 1280.1116446.1a $C_2^6:D_{10}$ $C_1$ $1$ 1.a1 $1280$ 1.a1
1280.1116446.1b $1$ R \(\Q\) 1280.1116446.1b $C_2^6:D_{10}$ $C_2$ $2$ 2.d1 $640$ 1.a1
1280.1116446.1c $1$ R \(\Q\) 1280.1116446.1c $C_2^6:D_{10}$ $C_2$ $2$ 2.d1 $640$ 1.a1
1280.1116446.1d $1$ R \(\Q\) 1280.1116446.1d $C_2^6:D_{10}$ $C_2$ $2$ 2.d1 $640$ 1.a1
1280.1116446.1e $1$ R \(\Q\) 1280.1116446.1e $C_2^6:D_{10}$ $C_2$ $2$ 2.d1 $640$ 1.a1
1280.1116446.1f $1$ R \(\Q\) 1280.1116446.1f $C_2^6:D_{10}$ $C_2$ $2$ 2.c1 $640$ 1.a1
1280.1116446.1g $1$ R \(\Q\) 1280.1116446.1g $C_2^6:D_{10}$ $C_2$ $2$ 2.b1 $640$ 1.a1
1280.1116446.1h $1$ R \(\Q\) 1280.1116446.1h $C_2^6:D_{10}$ $C_2$ $2$ 2.a1 $640$ 1.a1
1280.1116446.2a $2$ R \(\Q\) 1280.1116446.2a $C_2^6:D_{10}$ $D_4$ $8$ 8.b1 $160$ 4.a1
1280.1116446.2b $2$ R \(\Q\) 1280.1116446.2b $C_2^6:D_{10}$ $D_4$ $8$ 8.b1 $160$ 4.a1
1280.1116446.2c1 $2$ R \(\Q(\sqrt{5}) \) 1280.1116446.2c $C_2^6:D_{10}$ $D_5$ $10$ 10.a1 $128$ 10.a1
1280.1116446.2c2 $2$ R \(\Q(\sqrt{5}) \) 1280.1116446.2c $C_2^6:D_{10}$ $D_5$ $10$ 10.a1 $128$ 10.a1
1280.1116446.2d1 $2$ R \(\Q(\sqrt{5}) \) 1280.1116446.2d $C_2^6:D_{10}$ $D_{10}$ $20$ 20.b1 $64$ 10.a1
1280.1116446.2d2 $2$ R \(\Q(\sqrt{5}) \) 1280.1116446.2d $C_2^6:D_{10}$ $D_{10}$ $20$ 20.b1 $64$ 10.a1
1280.1116446.2e1 $2$ R \(\Q(\sqrt{5}) \) 1280.1116446.2e $C_2^6:D_{10}$ $D_{10}$ $20$ 20.b1 $64$ 10.a1
1280.1116446.2e2 $2$ R \(\Q(\sqrt{5}) \) 1280.1116446.2e $C_2^6:D_{10}$ $D_{10}$ $20$ 20.b1 $64$ 10.a1
1280.1116446.2f1 $2$ R \(\Q(\sqrt{5}) \) 1280.1116446.2f $C_2^6:D_{10}$ $D_{10}$ $20$ 20.a1 $64$ 10.a1
1280.1116446.2f2 $2$ R \(\Q(\sqrt{5}) \) 1280.1116446.2f $C_2^6:D_{10}$ $D_{10}$ $20$ 20.a1 $64$ 10.a1
1280.1116446.2g1 $2$ C \(\Q(\zeta_{5})\) 1280.1116446.2g $C_2^6:D_{10}$ $C_5:D_4$ $40$ 40.b1 $32$ 20.a1
1280.1116446.2g2 $2$ C \(\Q(\zeta_{5})\) 1280.1116446.2g $C_2^6:D_{10}$ $C_5:D_4$ $40$ 40.b1 $32$ 20.a1
1280.1116446.2g3 $2$ C \(\Q(\zeta_{5})\) 1280.1116446.2g $C_2^6:D_{10}$ $C_5:D_4$ $40$ 40.b1 $32$ 20.a1
1280.1116446.2g4 $2$ C \(\Q(\zeta_{5})\) 1280.1116446.2g $C_2^6:D_{10}$ $C_5:D_4$ $40$ 40.b1 $32$ 20.a1
1280.1116446.2h1 $2$ C \(\Q(\zeta_{5})\) 1280.1116446.2h $C_2^6:D_{10}$ $C_5:D_4$ $40$ 40.b1 $32$ 20.a1
1280.1116446.2h2 $2$ C \(\Q(\zeta_{5})\) 1280.1116446.2h $C_2^6:D_{10}$ $C_5:D_4$ $40$ 40.b1 $32$ 20.a1
1280.1116446.2h3 $2$ C \(\Q(\zeta_{5})\) 1280.1116446.2h $C_2^6:D_{10}$ $C_5:D_4$ $40$ 40.b1 $32$ 20.a1
1280.1116446.2h4 $2$ C \(\Q(\zeta_{5})\) 1280.1116446.2h $C_2^6:D_{10}$ $C_5:D_4$ $40$ 40.b1 $32$ 20.a1
1280.1116446.5a $5$ R \(\Q\) 1280.1116446.5a $C_2^6:D_{10}$ $C_2^4:D_5$ $160$ 160.a1 $8$ 160.a1
1280.1116446.5b $5$ R \(\Q\) 1280.1116446.5b $C_2^6:D_{10}$ $C_2^4:D_5$ $160$ 160.a1 $8$ 160.a1
1280.1116446.5c $5$ R \(\Q\) 1280.1116446.5c $C_2^6:D_{10}$ $C_2^4:D_5$ $160$ 160.a1 $8$ 160.a1
1280.1116446.5d $5$ R \(\Q\) 1280.1116446.5d $C_2^6:D_{10}$ $C_2^4:D_5$ $160$ 160.a1 $8$ 160.a1
1280.1116446.5e $5$ R \(\Q\) 1280.1116446.5e $C_2^6:D_{10}$ $C_2^4:D_5$ $160$ 160.a1 $8$ 160.a1
1280.1116446.5f $5$ R \(\Q\) 1280.1116446.5f $C_2^6:D_{10}$ $C_2^4:D_5$ $160$ 160.a1 $8$ 160.a1
1280.1116446.5g $5$ R \(\Q\) 1280.1116446.5g $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5h $5$ R \(\Q\) 1280.1116446.5h $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5i $5$ R \(\Q\) 1280.1116446.5i $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5j $5$ R \(\Q\) 1280.1116446.5j $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5k $5$ R \(\Q\) 1280.1116446.5k $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5l $5$ R \(\Q\) 1280.1116446.5l $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5m $5$ R \(\Q\) 1280.1116446.5m $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5n $5$ R \(\Q\) 1280.1116446.5n $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5o $5$ R \(\Q\) 1280.1116446.5o $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5p $5$ R \(\Q\) 1280.1116446.5p $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5q $5$ R \(\Q\) 1280.1116446.5q $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5r $5$ R \(\Q\) 1280.1116446.5r $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.b1 $4$ 160.a1
1280.1116446.5s $5$ R \(\Q\) 1280.1116446.5s $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.a1 $4$ 160.a1
1280.1116446.5t $5$ R \(\Q\) 1280.1116446.5t $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.a1 $4$ 160.a1
1280.1116446.5u $5$ R \(\Q\) 1280.1116446.5u $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.a1 $4$ 160.a1
1280.1116446.5v $5$ R \(\Q\) 1280.1116446.5v $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.a1 $4$ 160.a1
1280.1116446.5w $5$ R \(\Q\) 1280.1116446.5w $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.a1 $4$ 160.a1
1280.1116446.5x $5$ R \(\Q\) 1280.1116446.5x $C_2^6:D_{10}$ $C_2\wr D_5$ $320$ 320.a1 $4$ 160.a1
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