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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
7200.dx.1a $1$ R \(\Q\) 7200.dx.1a $S_6:C_{10}$ $C_1$ $1$ 1.a1.a1 $7200$ 1.a1.a1
7200.dx.1b $1$ R \(\Q\) 7200.dx.1b $S_6:C_{10}$ $C_2$ $2$ 2.c1.a1 $3600$ 1.a1.a1
7200.dx.1c $1$ R \(\Q\) 7200.dx.1c $S_6:C_{10}$ $C_2$ $2$ 2.b1.a1 $3600$ 1.a1.a1
7200.dx.1d $1$ R \(\Q\) 7200.dx.1d $S_6:C_{10}$ $C_2$ $2$ 2.a1.a1 $3600$ 1.a1.a1
7200.dx.1e1 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1e $S_6:C_{10}$ $C_5$ $5$ 5.a1.a1 $1440$ 1.a1.a1
7200.dx.1e2 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1e $S_6:C_{10}$ $C_5$ $5$ 5.a1.a1 $1440$ 1.a1.a1
7200.dx.1e3 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1e $S_6:C_{10}$ $C_5$ $5$ 5.a1.a1 $1440$ 1.a1.a1
7200.dx.1e4 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1e $S_6:C_{10}$ $C_5$ $5$ 5.a1.a1 $1440$ 1.a1.a1
7200.dx.1f1 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1f $S_6:C_{10}$ $C_{10}$ $10$ 10.c1.a1 $720$ 1.a1.a1
7200.dx.1f2 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1f $S_6:C_{10}$ $C_{10}$ $10$ 10.c1.a1 $720$ 1.a1.a1
7200.dx.1f3 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1f $S_6:C_{10}$ $C_{10}$ $10$ 10.c1.a1 $720$ 1.a1.a1
7200.dx.1f4 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1f $S_6:C_{10}$ $C_{10}$ $10$ 10.c1.a1 $720$ 1.a1.a1
7200.dx.1g1 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1g $S_6:C_{10}$ $C_{10}$ $10$ 10.b1.a1 $720$ 1.a1.a1
7200.dx.1g2 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1g $S_6:C_{10}$ $C_{10}$ $10$ 10.b1.a1 $720$ 1.a1.a1
7200.dx.1g3 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1g $S_6:C_{10}$ $C_{10}$ $10$ 10.b1.a1 $720$ 1.a1.a1
7200.dx.1g4 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1g $S_6:C_{10}$ $C_{10}$ $10$ 10.b1.a1 $720$ 1.a1.a1
7200.dx.1h1 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1h $S_6:C_{10}$ $C_{10}$ $10$ 10.a1.a1 $720$ 1.a1.a1
7200.dx.1h2 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1h $S_6:C_{10}$ $C_{10}$ $10$ 10.a1.a1 $720$ 1.a1.a1
7200.dx.1h3 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1h $S_6:C_{10}$ $C_{10}$ $10$ 10.a1.a1 $720$ 1.a1.a1
7200.dx.1h4 $1$ C \(\Q(\zeta_{5})\) 7200.dx.1h $S_6:C_{10}$ $C_{10}$ $10$ 10.a1.a1 $720$ 1.a1.a1
7200.dx.9a $9$ R \(\Q\) 7200.dx.9a $S_6:C_{10}$ $S_6:C_2$ $1440$ 1440.a1.a1 $5$ 1440.a1.a1
7200.dx.9b $9$ R \(\Q\) 7200.dx.9b $S_6:C_{10}$ $S_6:C_2$ $1440$ 1440.a1.a1 $5$ 1440.a1.a1
7200.dx.9c $9$ R \(\Q\) 7200.dx.9c $S_6:C_{10}$ $S_6:C_2$ $1440$ 1440.a1.a1 $5$ 1440.a1.a1
7200.dx.9d $9$ R \(\Q\) 7200.dx.9d $S_6:C_{10}$ $S_6:C_2$ $1440$ 1440.a1.a1 $5$ 1440.a1.a1
7200.dx.9e1 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9e $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9e2 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9e $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9e3 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9e $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9e4 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9e $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9f1 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9f $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9f2 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9f $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9f3 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9f $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9f4 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9f $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9g1 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9g $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9g2 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9g $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9g3 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9g $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9g4 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9g $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9h1 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9h $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9h2 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9h $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9h3 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9h $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.9h4 $9$ C \(\Q(\zeta_{5})\) 7200.dx.9h $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.10a $10$ R \(\Q\) 7200.dx.10a $S_6:C_{10}$ $S_6:C_2$ $1440$ 1440.a1.a1 $5$ 1440.a1.a1
7200.dx.10b $10$ R \(\Q\) 7200.dx.10b $S_6:C_{10}$ $S_6:C_2$ $1440$ 1440.a1.a1 $5$ 1440.a1.a1
7200.dx.10c1 $10$ C \(\Q(\zeta_{5})\) 7200.dx.10c $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.10c2 $10$ C \(\Q(\zeta_{5})\) 7200.dx.10c $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.10c3 $10$ C \(\Q(\zeta_{5})\) 7200.dx.10c $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.10c4 $10$ C \(\Q(\zeta_{5})\) 7200.dx.10c $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.10d1 $10$ C \(\Q(\zeta_{5})\) 7200.dx.10d $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.10d2 $10$ C \(\Q(\zeta_{5})\) 7200.dx.10d $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.10d3 $10$ C \(\Q(\zeta_{5})\) 7200.dx.10d $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
7200.dx.10d4 $10$ C \(\Q(\zeta_{5})\) 7200.dx.10d $S_6:C_{10}$ $S_6:C_{10}$ $7200$ 7200.a1.a1 $1$ 1440.a1.a1
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