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Results (29 matches)

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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
480.970.1a $1$ R \(\Q\) 480.970.1a $\GL(2,3):D_5$ $C_1$ $1$ 1.a1.a1 $480$ 1.a1.a1
480.970.1b $1$ R \(\Q\) 480.970.1b $\GL(2,3):D_5$ $C_2$ $2$ 2.c1.a1 $240$ 1.a1.a1
480.970.1c $1$ R \(\Q\) 480.970.1c $\GL(2,3):D_5$ $C_2$ $2$ 2.b1.a1 $240$ 1.a1.a1
480.970.1d $1$ R \(\Q\) 480.970.1d $\GL(2,3):D_5$ $C_2$ $2$ 2.a1.a1 $240$ 1.a1.a1
480.970.2a $2$ R \(\Q\) 480.970.2a $\GL(2,3):D_5$ $S_3$ $6$ 6.a1.a1 $80$ 6.a1.a1
480.970.2b $2$ R \(\Q\) 480.970.2b $\GL(2,3):D_5$ $D_6$ $12$ 12.a1.a1 $40$ 6.a1.a1
480.970.2c1 $2$ R \(\Q(\sqrt{5}) \) 480.970.2c $\GL(2,3):D_5$ $D_5$ $10$ 10.a1.a1 $48$ 10.a1.a1
480.970.2c2 $2$ R \(\Q(\sqrt{5}) \) 480.970.2c $\GL(2,3):D_5$ $D_5$ $10$ 10.a1.a1 $48$ 10.a1.a1
480.970.2d1 $2$ R \(\Q(\sqrt{5}) \) 480.970.2d $\GL(2,3):D_5$ $D_{10}$ $20$ 20.a1.a1 $24$ 10.a1.a1
480.970.2d2 $2$ R \(\Q(\sqrt{5}) \) 480.970.2d $\GL(2,3):D_5$ $D_{10}$ $20$ 20.a1.a1 $24$ 10.a1.a1
480.970.3a $3$ R \(\Q\) 480.970.3a $\GL(2,3):D_5$ $S_4$ $24$ 24.a1.a1 $20$ 24.a1.a1
480.970.3b $3$ R \(\Q\) 480.970.3b $\GL(2,3):D_5$ $S_4$ $24$ 24.a1.a1 $20$ 24.a1.a1
480.970.3c $3$ R \(\Q\) 480.970.3c $\GL(2,3):D_5$ $C_2\times S_4$ $48$ 48.a1.a1 $10$ 24.a1.a1
480.970.3d $3$ R \(\Q\) 480.970.3d $\GL(2,3):D_5$ $C_2\times S_4$ $48$ 48.a1.a1 $10$ 24.a1.a1
480.970.4a $4$ R \(\Q\) 480.970.4a $\GL(2,3):D_5$ $\GL(2,3):C_2$ $96$ 96.a1.a1 $5$ 48.a1.a1
480.970.4b1 $4$ R \(\Q(\sqrt{5}) \) 480.970.4b $\GL(2,3):D_5$ $S_3\times D_5$ $60$ 60.a1.a1 $8$ 60.a1.a1
480.970.4b2 $4$ R \(\Q(\sqrt{5}) \) 480.970.4b $\GL(2,3):D_5$ $S_3\times D_5$ $60$ 60.a1.a1 $8$ 60.a1.a1
480.970.4c1 $4$ R \(\Q(\sqrt{3}) \) 480.970.4c $\GL(2,3):D_5$ $\GL(2,3):C_2$ $96$ 96.a1.a1 $5$ 48.a1.a1
480.970.4c2 $4$ R \(\Q(\sqrt{3}) \) 480.970.4c $\GL(2,3):D_5$ $\GL(2,3):C_2$ $96$ 96.a1.a1 $5$ 48.a1.a1
480.970.4d1 $4$ R 4.4.8000.1 480.970.4d $\GL(2,3):D_5$ $\GL(2,3):D_5$ $480$ 480.a1.a1 $1$ 240.a1.a1
480.970.4d2 $4$ R 4.4.8000.1 480.970.4d $\GL(2,3):D_5$ $\GL(2,3):D_5$ $480$ 480.a1.a1 $1$ 240.a1.a1
480.970.4d3 $4$ R 4.4.8000.1 480.970.4d $\GL(2,3):D_5$ $\GL(2,3):D_5$ $480$ 480.a1.a1 $1$ 240.a1.a1
480.970.4d4 $4$ R 4.4.8000.1 480.970.4d $\GL(2,3):D_5$ $\GL(2,3):D_5$ $480$ 480.a1.a1 $1$ 240.a1.a1
480.970.6a1 $6$ R \(\Q(\sqrt{5}) \) 480.970.6a $\GL(2,3):D_5$ $D_5\times S_4$ $240$ 240.a1.a1 $2$ 240.a1.a1
480.970.6a2 $6$ R \(\Q(\sqrt{5}) \) 480.970.6a $\GL(2,3):D_5$ $D_5\times S_4$ $240$ 240.a1.a1 $2$ 240.a1.a1
480.970.6b1 $6$ R \(\Q(\sqrt{5}) \) 480.970.6b $\GL(2,3):D_5$ $D_5\times S_4$ $240$ 240.a1.a1 $2$ 240.a1.a1
480.970.6b2 $6$ R \(\Q(\sqrt{5}) \) 480.970.6b $\GL(2,3):D_5$ $D_5\times S_4$ $240$ 240.a1.a1 $2$ 240.a1.a1
480.970.8a1 $8$ R \(\Q(\sqrt{5}) \) 480.970.8a $\GL(2,3):D_5$ $\GL(2,3):D_5$ $480$ 480.a1.a1 $1$ 240.a1.a1
480.970.8a2 $8$ R \(\Q(\sqrt{5}) \) 480.970.8a $\GL(2,3):D_5$ $\GL(2,3):D_5$ $480$ 480.a1.a1 $1$ 240.a1.a1
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