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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
960.319.1a $1$ R \(\Q\) 960.319.1a $C_{60}.D_8$ $C_1$ $1$ 1.a1.a1 $960$ 1.a1.a1
960.319.1b $1$ R \(\Q\) 960.319.1b $C_{60}.D_8$ $C_2$ $2$ 2.b1.a1 $480$ 1.a1.a1
960.319.1c $1$ R \(\Q\) 960.319.1c $C_{60}.D_8$ $C_2$ $2$ 2.c1.a1 $480$ 1.a1.a1
960.319.1d $1$ R \(\Q\) 960.319.1d $C_{60}.D_8$ $C_2$ $2$ 2.a1.a1 $480$ 1.a1.a1
960.319.1e1 $1$ C \(\Q(\sqrt{-3}) \) 960.319.1e $C_{60}.D_8$ $C_3$ $3$ 3.a1.a1 $320$ 1.a1.a1
960.319.1e2 $1$ C \(\Q(\sqrt{-3}) \) 960.319.1e $C_{60}.D_8$ $C_3$ $3$ 3.a1.a1 $320$ 1.a1.a1
960.319.1f1 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1f $C_{60}.D_8$ $C_4$ $4$ 4.b1.b1 $240$ 1.a1.a1
960.319.1f2 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1f $C_{60}.D_8$ $C_4$ $4$ 4.b1.b1 $240$ 1.a1.a1
960.319.1g1 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1g $C_{60}.D_8$ $C_4$ $4$ 4.b1.a1 $240$ 1.a1.a1
960.319.1g2 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1g $C_{60}.D_8$ $C_4$ $4$ 4.b1.a1 $240$ 1.a1.a1
960.319.1h1 $1$ C \(\Q(\sqrt{-3}) \) 960.319.1h $C_{60}.D_8$ $C_6$ $6$ 6.b1.a1 $160$ 1.a1.a1
960.319.1h2 $1$ C \(\Q(\sqrt{-3}) \) 960.319.1h $C_{60}.D_8$ $C_6$ $6$ 6.b1.a1 $160$ 1.a1.a1
960.319.1i1 $1$ C \(\Q(\sqrt{-3}) \) 960.319.1i $C_{60}.D_8$ $C_6$ $6$ 6.c1.a1 $160$ 1.a1.a1
960.319.1i2 $1$ C \(\Q(\sqrt{-3}) \) 960.319.1i $C_{60}.D_8$ $C_6$ $6$ 6.c1.a1 $160$ 1.a1.a1
960.319.1j1 $1$ C \(\Q(\sqrt{-3}) \) 960.319.1j $C_{60}.D_8$ $C_6$ $6$ 6.a1.a1 $160$ 1.a1.a1
960.319.1j2 $1$ C \(\Q(\sqrt{-3}) \) 960.319.1j $C_{60}.D_8$ $C_6$ $6$ 6.a1.a1 $160$ 1.a1.a1
960.319.1k1 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1k $C_{60}.D_8$ $C_{12}$ $12$ 12.b1.b1 $80$ 1.a1.a1
960.319.1k2 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1k $C_{60}.D_8$ $C_{12}$ $12$ 12.b1.b1 $80$ 1.a1.a1
960.319.1k3 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1k $C_{60}.D_8$ $C_{12}$ $12$ 12.b1.b1 $80$ 1.a1.a1
960.319.1k4 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1k $C_{60}.D_8$ $C_{12}$ $12$ 12.b1.b1 $80$ 1.a1.a1
960.319.1l1 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1l $C_{60}.D_8$ $C_{12}$ $12$ 12.b1.a1 $80$ 1.a1.a1
960.319.1l2 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1l $C_{60}.D_8$ $C_{12}$ $12$ 12.b1.a1 $80$ 1.a1.a1
960.319.1l3 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1l $C_{60}.D_8$ $C_{12}$ $12$ 12.b1.a1 $80$ 1.a1.a1
960.319.1l4 $1$ C \(\Q(\sqrt{-1}) \) 960.319.1l $C_{60}.D_8$ $C_{12}$ $12$ 12.b1.a1 $80$ 1.a1.a1
960.319.2a $2$ R \(\Q\) 960.319.2a $C_{60}.D_8$ $D_4$ $8$ 8.a1.a1 $120$ 4.a1.a1
960.319.2b $2$ R \(\Q\) 960.319.2b $C_{60}.D_8$ $D_4$ $8$ 8.b1.a1 $120$ 4.a1.a1
960.319.2c1 $2$ R \(\Q(\sqrt{5}) \) 960.319.2c $C_{60}.D_8$ $D_5$ $10$ 10.a1.a1 $96$ 10.a1.a1
960.319.2c2 $2$ R \(\Q(\sqrt{5}) \) 960.319.2c $C_{60}.D_8$ $D_5$ $10$ 10.a1.a1 $96$ 10.a1.a1
960.319.2d1 $2$ R \(\Q(\sqrt{2}) \) 960.319.2d $C_{60}.D_8$ $D_8$ $16$ 16.b1.a1 $60$ 8.a1.a1
960.319.2d2 $2$ R \(\Q(\sqrt{2}) \) 960.319.2d $C_{60}.D_8$ $D_8$ $16$ 16.b1.a1 $60$ 8.a1.a1
960.319.2e1 $2$ C \(\Q(\sqrt{-2}) \) 960.319.2e $C_{60}.D_8$ $\SD_{16}$ $16$ 16.d1.a1 $60$ 8.b1.a1
960.319.2e2 $2$ C \(\Q(\sqrt{-2}) \) 960.319.2e $C_{60}.D_8$ $\SD_{16}$ $16$ 16.d1.a1 $60$ 8.b1.a1
960.319.2f1 $2$ C \(\Q(\sqrt{-2}) \) 960.319.2f $C_{60}.D_8$ $\SD_{16}$ $16$ 16.c1.a1 $60$ 8.a1.a1
960.319.2f2 $2$ C \(\Q(\sqrt{-2}) \) 960.319.2f $C_{60}.D_8$ $\SD_{16}$ $16$ 16.c1.a1 $60$ 8.a1.a1
960.319.2g1 $2$ R \(\Q(\sqrt{5}) \) 960.319.2g $C_{60}.D_8$ $D_{10}$ $20$ 20.a1.a1 $48$ 10.a1.a1
960.319.2g2 $2$ R \(\Q(\sqrt{5}) \) 960.319.2g $C_{60}.D_8$ $D_{10}$ $20$ 20.a1.a1 $48$ 10.a1.a1
960.319.2h1 $2$ C \(\Q(\sqrt{-3}) \) 960.319.2h $C_{60}.D_8$ $C_3\times D_4$ $24$ 24.a1.a1 $40$ 4.a1.a1
960.319.2h2 $2$ C \(\Q(\sqrt{-3}) \) 960.319.2h $C_{60}.D_8$ $C_3\times D_4$ $24$ 24.a1.a1 $40$ 4.a1.a1
960.319.2i1 $2$ C \(\Q(\sqrt{-3}) \) 960.319.2i $C_{60}.D_8$ $C_3\times D_4$ $24$ 24.b1.a1 $40$ 4.a1.a1
960.319.2i2 $2$ C \(\Q(\sqrt{-3}) \) 960.319.2i $C_{60}.D_8$ $C_3\times D_4$ $24$ 24.b1.a1 $40$ 4.a1.a1
960.319.2j1 $2$ S \(\Q(\sqrt{2}) \) 960.319.2j $C_{60}.D_8$ $Q_{16}$ $16$ 16.e1.a1 $60$ 8.b1.a1
960.319.2j2 $2$ S \(\Q(\sqrt{2}) \) 960.319.2j $C_{60}.D_8$ $Q_{16}$ $16$ 16.e1.a1 $60$ 8.b1.a1
960.319.2k1 $2$ S \(\Q(\sqrt{5}) \) 960.319.2k $C_{60}.D_8$ $C_5:C_4$ $20$ 20.b1.b1 $48$ 10.a1.a1
960.319.2k2 $2$ S \(\Q(\sqrt{5}) \) 960.319.2k $C_{60}.D_8$ $C_5:C_4$ $20$ 20.b1.b1 $48$ 10.a1.a1
960.319.2l1 $2$ S \(\Q(\sqrt{5}) \) 960.319.2l $C_{60}.D_8$ $C_5:C_4$ $20$ 20.b1.a1 $48$ 10.a1.a1
960.319.2l2 $2$ S \(\Q(\sqrt{5}) \) 960.319.2l $C_{60}.D_8$ $C_5:C_4$ $20$ 20.b1.a1 $48$ 10.a1.a1
960.319.2m1 $2$ C \(\Q(\sqrt{-3}, \sqrt{5})\) 960.319.2m $C_{60}.D_8$ $C_3\times D_5$ $30$ 30.a1.a1 $32$ 10.a1.a1
960.319.2m2 $2$ C \(\Q(\sqrt{-3}, \sqrt{5})\) 960.319.2m $C_{60}.D_8$ $C_3\times D_5$ $30$ 30.a1.a1 $32$ 10.a1.a1
960.319.2m3 $2$ C \(\Q(\sqrt{-3}, \sqrt{5})\) 960.319.2m $C_{60}.D_8$ $C_3\times D_5$ $30$ 30.a1.a1 $32$ 10.a1.a1
960.319.2m4 $2$ C \(\Q(\sqrt{-3}, \sqrt{5})\) 960.319.2m $C_{60}.D_8$ $C_3\times D_5$ $30$ 30.a1.a1 $32$ 10.a1.a1
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