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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1440.3398.1a $1$ R \(\Q\) 1440.3398.1a $C_{120}.D_6$ $C_1$ $1$ 1.a1.a1 $1440$ 1.a1.a1
1440.3398.1b $1$ R \(\Q\) 1440.3398.1b $C_{120}.D_6$ $C_2$ $2$ 2.e1.a1 $720$ 1.a1.a1
1440.3398.1c $1$ R \(\Q\) 1440.3398.1c $C_{120}.D_6$ $C_2$ $2$ 2.d1.a1 $720$ 1.a1.a1
1440.3398.1d $1$ R \(\Q\) 1440.3398.1d $C_{120}.D_6$ $C_2$ $2$ 2.b1.b1 $720$ 1.a1.a1
1440.3398.1e $1$ R \(\Q\) 1440.3398.1e $C_{120}.D_6$ $C_2$ $2$ 2.a1.b1 $720$ 1.a1.a1
1440.3398.1f $1$ R \(\Q\) 1440.3398.1f $C_{120}.D_6$ $C_2$ $2$ 2.b1.a1 $720$ 1.a1.a1
1440.3398.1g $1$ R \(\Q\) 1440.3398.1g $C_{120}.D_6$ $C_2$ $2$ 2.a1.a1 $720$ 1.a1.a1
1440.3398.1h $1$ R \(\Q\) 1440.3398.1h $C_{120}.D_6$ $C_2$ $2$ 2.c1.a1 $720$ 1.a1.a1
1440.3398.1i1 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1i $C_{120}.D_6$ $C_5$ $5$ 5.a1.a1 $288$ 1.a1.a1
1440.3398.1i2 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1i $C_{120}.D_6$ $C_5$ $5$ 5.a1.a1 $288$ 1.a1.a1
1440.3398.1i3 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1i $C_{120}.D_6$ $C_5$ $5$ 5.a1.a1 $288$ 1.a1.a1
1440.3398.1i4 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1i $C_{120}.D_6$ $C_5$ $5$ 5.a1.a1 $288$ 1.a1.a1
1440.3398.1j1 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1j $C_{120}.D_6$ $C_{10}$ $10$ 10.e1.a1 $144$ 1.a1.a1
1440.3398.1j2 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1j $C_{120}.D_6$ $C_{10}$ $10$ 10.e1.a1 $144$ 1.a1.a1
1440.3398.1j3 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1j $C_{120}.D_6$ $C_{10}$ $10$ 10.e1.a1 $144$ 1.a1.a1
1440.3398.1j4 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1j $C_{120}.D_6$ $C_{10}$ $10$ 10.e1.a1 $144$ 1.a1.a1
1440.3398.1k1 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1k $C_{120}.D_6$ $C_{10}$ $10$ 10.d1.a1 $144$ 1.a1.a1
1440.3398.1k2 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1k $C_{120}.D_6$ $C_{10}$ $10$ 10.d1.a1 $144$ 1.a1.a1
1440.3398.1k3 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1k $C_{120}.D_6$ $C_{10}$ $10$ 10.d1.a1 $144$ 1.a1.a1
1440.3398.1k4 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1k $C_{120}.D_6$ $C_{10}$ $10$ 10.d1.a1 $144$ 1.a1.a1
1440.3398.1l1 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1l $C_{120}.D_6$ $C_{10}$ $10$ 10.b1.b1 $144$ 1.a1.a1
1440.3398.1l2 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1l $C_{120}.D_6$ $C_{10}$ $10$ 10.b1.b1 $144$ 1.a1.a1
1440.3398.1l3 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1l $C_{120}.D_6$ $C_{10}$ $10$ 10.b1.b1 $144$ 1.a1.a1
1440.3398.1l4 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1l $C_{120}.D_6$ $C_{10}$ $10$ 10.b1.b1 $144$ 1.a1.a1
1440.3398.1m1 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1m $C_{120}.D_6$ $C_{10}$ $10$ 10.a1.b1 $144$ 1.a1.a1
1440.3398.1m2 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1m $C_{120}.D_6$ $C_{10}$ $10$ 10.a1.b1 $144$ 1.a1.a1
1440.3398.1m3 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1m $C_{120}.D_6$ $C_{10}$ $10$ 10.a1.b1 $144$ 1.a1.a1
1440.3398.1m4 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1m $C_{120}.D_6$ $C_{10}$ $10$ 10.a1.b1 $144$ 1.a1.a1
1440.3398.1n1 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1n $C_{120}.D_6$ $C_{10}$ $10$ 10.b1.a1 $144$ 1.a1.a1
1440.3398.1n2 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1n $C_{120}.D_6$ $C_{10}$ $10$ 10.b1.a1 $144$ 1.a1.a1
1440.3398.1n3 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1n $C_{120}.D_6$ $C_{10}$ $10$ 10.b1.a1 $144$ 1.a1.a1
1440.3398.1n4 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1n $C_{120}.D_6$ $C_{10}$ $10$ 10.b1.a1 $144$ 1.a1.a1
1440.3398.1o1 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1o $C_{120}.D_6$ $C_{10}$ $10$ 10.a1.a1 $144$ 1.a1.a1
1440.3398.1o2 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1o $C_{120}.D_6$ $C_{10}$ $10$ 10.a1.a1 $144$ 1.a1.a1
1440.3398.1o3 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1o $C_{120}.D_6$ $C_{10}$ $10$ 10.a1.a1 $144$ 1.a1.a1
1440.3398.1o4 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1o $C_{120}.D_6$ $C_{10}$ $10$ 10.a1.a1 $144$ 1.a1.a1
1440.3398.1p1 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1p $C_{120}.D_6$ $C_{10}$ $10$ 10.c1.a1 $144$ 1.a1.a1
1440.3398.1p2 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1p $C_{120}.D_6$ $C_{10}$ $10$ 10.c1.a1 $144$ 1.a1.a1
1440.3398.1p3 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1p $C_{120}.D_6$ $C_{10}$ $10$ 10.c1.a1 $144$ 1.a1.a1
1440.3398.1p4 $1$ C \(\Q(\zeta_{5})\) 1440.3398.1p $C_{120}.D_6$ $C_{10}$ $10$ 10.c1.a1 $144$ 1.a1.a1
1440.3398.2a $2$ R \(\Q\) 1440.3398.2a $C_{120}.D_6$ $S_3$ $6$ 6.a1.b1 $240$ 6.a1.b1
1440.3398.2b $2$ R \(\Q\) 1440.3398.2b $C_{120}.D_6$ $S_3$ $6$ 6.a1.a1 $240$ 6.a1.a1
1440.3398.2c $2$ R \(\Q\) 1440.3398.2c $C_{120}.D_6$ $D_4$ $8$ 8.c1.a1 $180$ 4.b1.a1
1440.3398.2d $2$ R \(\Q\) 1440.3398.2d $C_{120}.D_6$ $D_4$ $8$ 8.a1.a1 $180$ 4.b1.a1
1440.3398.2e $2$ R \(\Q\) 1440.3398.2e $C_{120}.D_6$ $D_6$ $12$ 12.c1.b1 $120$ 6.a1.a1
1440.3398.2f $2$ R \(\Q\) 1440.3398.2f $C_{120}.D_6$ $D_6$ $12$ 12.b1.b1 $120$ 6.a1.a1
1440.3398.2g $2$ R \(\Q\) 1440.3398.2g $C_{120}.D_6$ $D_6$ $12$ 12.c1.a1 $120$ 6.a1.b1
1440.3398.2h $2$ R \(\Q\) 1440.3398.2h $C_{120}.D_6$ $D_6$ $12$ 12.b1.a1 $120$ 6.a1.b1
1440.3398.2i $2$ R \(\Q\) 1440.3398.2i $C_{120}.D_6$ $D_6$ $12$ 12.a1.b1 $120$ 6.a1.b1
1440.3398.2j $2$ R \(\Q\) 1440.3398.2j $C_{120}.D_6$ $D_6$ $12$ 12.a1.a1 $120$ 6.a1.a1
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