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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
480.1199.1a $1$ R \(\Q\) 480.1199.1a $C_2^3:D_{30}$ $C_1$ $1$ 1.a1 $480$ 1.a1
480.1199.1b $1$ R \(\Q\) 480.1199.1b $C_2^3:D_{30}$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1199.1c $1$ R \(\Q\) 480.1199.1c $C_2^3:D_{30}$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1199.1d $1$ R \(\Q\) 480.1199.1d $C_2^3:D_{30}$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1199.1e $1$ R \(\Q\) 480.1199.1e $C_2^3:D_{30}$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1199.1f $1$ R \(\Q\) 480.1199.1f $C_2^3:D_{30}$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1199.1g $1$ R \(\Q\) 480.1199.1g $C_2^3:D_{30}$ $C_2$ $2$ 2.a1 $240$ 1.a1
480.1199.1h $1$ R \(\Q\) 480.1199.1h $C_2^3:D_{30}$ $C_2$ $2$ 2.b1 $240$ 1.a1
480.1199.2a $2$ R \(\Q\) 480.1199.2a $C_2^3:D_{30}$ $S_3$ $6$ 6.a1 $80$ 6.a1
480.1199.2b $2$ R \(\Q\) 480.1199.2b $C_2^3:D_{30}$ $D_6$ $12$ 12.a1 $40$ 6.a1
480.1199.2c $2$ R \(\Q\) 480.1199.2c $C_2^3:D_{30}$ $D_6$ $12$ 12.a1 $40$ 6.a1
480.1199.2d $2$ R \(\Q\) 480.1199.2d $C_2^3:D_{30}$ $D_6$ $12$ 12.a1 $40$ 6.a1
480.1199.2e1 $2$ R \(\Q(\sqrt{5}) \) 480.1199.2e $C_2^3:D_{30}$ $D_5$ $10$ 10.a1 $48$ 10.a1
480.1199.2e2 $2$ R \(\Q(\sqrt{5}) \) 480.1199.2e $C_2^3:D_{30}$ $D_5$ $10$ 10.a1 $48$ 10.a1
480.1199.2f1 $2$ R \(\Q(\sqrt{5}) \) 480.1199.2f $C_2^3:D_{30}$ $D_{10}$ $20$ 20.a1 $24$ 10.a1
480.1199.2f2 $2$ R \(\Q(\sqrt{5}) \) 480.1199.2f $C_2^3:D_{30}$ $D_{10}$ $20$ 20.a1 $24$ 10.a1
480.1199.2g1 $2$ R \(\Q(\sqrt{5}) \) 480.1199.2g $C_2^3:D_{30}$ $D_{10}$ $20$ 20.a1 $24$ 10.a1
480.1199.2g2 $2$ R \(\Q(\sqrt{5}) \) 480.1199.2g $C_2^3:D_{30}$ $D_{10}$ $20$ 20.a1 $24$ 10.a1
480.1199.2h1 $2$ R \(\Q(\sqrt{5}) \) 480.1199.2h $C_2^3:D_{30}$ $D_{10}$ $20$ 20.a1 $24$ 10.a1
480.1199.2h2 $2$ R \(\Q(\sqrt{5}) \) 480.1199.2h $C_2^3:D_{30}$ $D_{10}$ $20$ 20.a1 $24$ 10.a1
480.1199.2i1 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2i $C_2^3:D_{30}$ $D_{15}$ $30$ 30.a1 $16$ 30.a1
480.1199.2i2 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2i $C_2^3:D_{30}$ $D_{15}$ $30$ 30.a1 $16$ 30.a1
480.1199.2i3 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2i $C_2^3:D_{30}$ $D_{15}$ $30$ 30.a1 $16$ 30.a1
480.1199.2i4 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2i $C_2^3:D_{30}$ $D_{15}$ $30$ 30.a1 $16$ 30.a1
480.1199.2j1 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2j $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2j2 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2j $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2j3 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2j $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2j4 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2j $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2k1 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2k $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2k2 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2k $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2k3 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2k $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2k4 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2k $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2l1 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2l $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2l2 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2l $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2l3 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2l $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.2l4 $2$ R \(\Q(\zeta_{15})^+\) 480.1199.2l $C_2^3:D_{30}$ $D_{30}$ $60$ 60.a1 $8$ 30.a1
480.1199.3a $3$ R \(\Q\) 480.1199.3a $C_2^3:D_{30}$ $S_4$ $24$ 24.a1 $20$ 24.a1
480.1199.3b $3$ R \(\Q\) 480.1199.3b $C_2^3:D_{30}$ $S_4$ $24$ 24.a1 $20$ 24.a1
480.1199.3c $3$ R \(\Q\) 480.1199.3c $C_2^3:D_{30}$ $C_2\times S_4$ $48$ 48.a1 $10$ 24.a1
480.1199.3d $3$ R \(\Q\) 480.1199.3d $C_2^3:D_{30}$ $C_2\times S_4$ $48$ 48.a1 $10$ 24.a1
480.1199.3e $3$ R \(\Q\) 480.1199.3e $C_2^3:D_{30}$ $C_2\times S_4$ $48$ 48.a1 $10$ 24.a1
480.1199.3f $3$ R \(\Q\) 480.1199.3f $C_2^3:D_{30}$ $C_2\times S_4$ $48$ 48.a1 $10$ 24.a1
480.1199.3g $3$ R \(\Q\) 480.1199.3g $C_2^3:D_{30}$ $C_2\times S_4$ $48$ 48.a1 $10$ 24.a1
480.1199.3h $3$ R \(\Q\) 480.1199.3h $C_2^3:D_{30}$ $C_2\times S_4$ $48$ 48.a1 $10$ 24.a1
480.1199.6a1 $6$ R \(\Q(\sqrt{5}) \) 480.1199.6a $C_2^3:D_{30}$ $C_5:S_4$ $120$ 120.a1 $4$ 120.a1
480.1199.6a2 $6$ R \(\Q(\sqrt{5}) \) 480.1199.6a $C_2^3:D_{30}$ $C_5:S_4$ $120$ 120.a1 $4$ 120.a1
480.1199.6b1 $6$ R \(\Q(\sqrt{5}) \) 480.1199.6b $C_2^3:D_{30}$ $C_{10}:S_4$ $240$ 240.a1 $2$ 120.a1
480.1199.6b2 $6$ R \(\Q(\sqrt{5}) \) 480.1199.6b $C_2^3:D_{30}$ $C_{10}:S_4$ $240$ 240.a1 $2$ 120.a1
480.1199.6c1 $6$ R \(\Q(\sqrt{5}) \) 480.1199.6c $C_2^3:D_{30}$ $C_{10}:S_4$ $240$ 240.a1 $2$ 120.a1
480.1199.6c2 $6$ R \(\Q(\sqrt{5}) \) 480.1199.6c $C_2^3:D_{30}$ $C_{10}:S_4$ $240$ 240.a1 $2$ 120.a1
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