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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
2400.eg.1a $1$ R \(\Q\) 2400.eg.1a $C_5:D_4\times A_5$ $C_1$ $1$ 1.a1.a1 $2400$ 1.a1.a1
2400.eg.1b $1$ R \(\Q\) 2400.eg.1b $C_5:D_4\times A_5$ $C_2$ $2$ 2.c1.a1 $1200$ 1.a1.a1
2400.eg.1c $1$ R \(\Q\) 2400.eg.1c $C_5:D_4\times A_5$ $C_2$ $2$ 2.b1.a1 $1200$ 1.a1.a1
2400.eg.1d $1$ R \(\Q\) 2400.eg.1d $C_5:D_4\times A_5$ $C_2$ $2$ 2.a1.a1 $1200$ 1.a1.a1
2400.eg.2a $2$ R \(\Q\) 2400.eg.2a $C_5:D_4\times A_5$ $D_4$ $8$ 8.a1.a1 $300$ 4.a1.a1
2400.eg.2b1 $2$ R \(\Q(\sqrt{5}) \) 2400.eg.2b $C_5:D_4\times A_5$ $D_5$ $10$ 10.a1.a1 $240$ 10.a1.a1
2400.eg.2b2 $2$ R \(\Q(\sqrt{5}) \) 2400.eg.2b $C_5:D_4\times A_5$ $D_5$ $10$ 10.a1.a1 $240$ 10.a1.a1
2400.eg.2c1 $2$ R \(\Q(\sqrt{5}) \) 2400.eg.2c $C_5:D_4\times A_5$ $D_{10}$ $20$ 20.a1.a1 $120$ 10.a1.a1
2400.eg.2c2 $2$ R \(\Q(\sqrt{5}) \) 2400.eg.2c $C_5:D_4\times A_5$ $D_{10}$ $20$ 20.a1.a1 $120$ 10.a1.a1
2400.eg.2d1 $2$ C \(\Q(\zeta_{5})\) 2400.eg.2d $C_5:D_4\times A_5$ $C_5:D_4$ $40$ 40.a1.a1 $60$ 20.a1.a1
2400.eg.2d2 $2$ C \(\Q(\zeta_{5})\) 2400.eg.2d $C_5:D_4\times A_5$ $C_5:D_4$ $40$ 40.a1.a1 $60$ 20.a1.a1
2400.eg.2d3 $2$ C \(\Q(\zeta_{5})\) 2400.eg.2d $C_5:D_4\times A_5$ $C_5:D_4$ $40$ 40.a1.a1 $60$ 20.a1.a1
2400.eg.2d4 $2$ C \(\Q(\zeta_{5})\) 2400.eg.2d $C_5:D_4\times A_5$ $C_5:D_4$ $40$ 40.a1.a1 $60$ 20.a1.a1
2400.eg.3a1 $3$ R \(\Q(\sqrt{5}) \) 2400.eg.3a $C_5:D_4\times A_5$ $A_5$ $60$ 60.a1.a1 $40$ 60.a1.a1
2400.eg.3a2 $3$ R \(\Q(\sqrt{5}) \) 2400.eg.3a $C_5:D_4\times A_5$ $A_5$ $60$ 60.a1.a1 $40$ 60.a1.a1
2400.eg.3b1 $3$ R \(\Q(\sqrt{5}) \) 2400.eg.3b $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.c1.a1 $20$ 60.a1.a1
2400.eg.3b2 $3$ R \(\Q(\sqrt{5}) \) 2400.eg.3b $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.c1.a1 $20$ 60.a1.a1
2400.eg.3c1 $3$ R \(\Q(\sqrt{5}) \) 2400.eg.3c $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.b1.a1 $20$ 60.a1.a1
2400.eg.3c2 $3$ R \(\Q(\sqrt{5}) \) 2400.eg.3c $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.b1.a1 $20$ 60.a1.a1
2400.eg.3d1 $3$ R \(\Q(\sqrt{5}) \) 2400.eg.3d $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.a1.a1 $20$ 60.a1.a1
2400.eg.3d2 $3$ R \(\Q(\sqrt{5}) \) 2400.eg.3d $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.a1.a1 $20$ 60.a1.a1
2400.eg.4a $4$ R \(\Q\) 2400.eg.4a $C_5:D_4\times A_5$ $A_5$ $60$ 60.a1.a1 $40$ 60.a1.a1
2400.eg.4b $4$ R \(\Q\) 2400.eg.4b $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.c1.a1 $20$ 60.a1.a1
2400.eg.4c $4$ R \(\Q\) 2400.eg.4c $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.b1.a1 $20$ 60.a1.a1
2400.eg.4d $4$ R \(\Q\) 2400.eg.4d $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.a1.a1 $20$ 60.a1.a1
2400.eg.5a $5$ R \(\Q\) 2400.eg.5a $C_5:D_4\times A_5$ $A_5$ $60$ 60.a1.a1 $40$ 60.a1.a1
2400.eg.5b $5$ R \(\Q\) 2400.eg.5b $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.c1.a1 $20$ 60.a1.a1
2400.eg.5c $5$ R \(\Q\) 2400.eg.5c $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.b1.a1 $20$ 60.a1.a1
2400.eg.5d $5$ R \(\Q\) 2400.eg.5d $C_5:D_4\times A_5$ $C_2\times A_5$ $120$ 120.a1.a1 $20$ 60.a1.a1
2400.eg.6a1 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6a $C_5:D_4\times A_5$ $D_4\times A_5$ $480$ 480.a1.a1 $5$ 240.a1.a1
2400.eg.6a2 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6a $C_5:D_4\times A_5$ $D_4\times A_5$ $480$ 480.a1.a1 $5$ 240.a1.a1
2400.eg.6b1 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6b $C_5:D_4\times A_5$ $D_{10}\times A_5$ $1200$ 1200.a1.a1 $2$ 600.a1.a1
2400.eg.6b2 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6b $C_5:D_4\times A_5$ $D_{10}\times A_5$ $1200$ 1200.a1.a1 $2$ 600.a1.a1
2400.eg.6c1 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6c $C_5:D_4\times A_5$ $D_{10}\times A_5$ $1200$ 1200.a1.a1 $2$ 600.a1.a1
2400.eg.6c2 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6c $C_5:D_4\times A_5$ $D_{10}\times A_5$ $1200$ 1200.a1.a1 $2$ 600.a1.a1
2400.eg.6d1 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6d $C_5:D_4\times A_5$ $D_5\times A_5$ $600$ 600.a1.a1 $4$ 600.a1.a1
2400.eg.6d2 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6d $C_5:D_4\times A_5$ $D_5\times A_5$ $600$ 600.a1.a1 $4$ 600.a1.a1
2400.eg.6e1 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6e $C_5:D_4\times A_5$ $D_5\times A_5$ $600$ 600.a1.a1 $4$ 600.a1.a1
2400.eg.6e2 $6$ R \(\Q(\sqrt{5}) \) 2400.eg.6e $C_5:D_4\times A_5$ $D_5\times A_5$ $600$ 600.a1.a1 $4$ 600.a1.a1
2400.eg.6f1 $6$ C \(\Q(\zeta_{5})\) 2400.eg.6f $C_5:D_4\times A_5$ $C_5:D_4\times A_5$ $2400$ 2400.a1.a1 $1$ 1200.a1.a1
2400.eg.6f2 $6$ C \(\Q(\zeta_{5})\) 2400.eg.6f $C_5:D_4\times A_5$ $C_5:D_4\times A_5$ $2400$ 2400.a1.a1 $1$ 1200.a1.a1
2400.eg.6f3 $6$ C \(\Q(\zeta_{5})\) 2400.eg.6f $C_5:D_4\times A_5$ $C_5:D_4\times A_5$ $2400$ 2400.a1.a1 $1$ 1200.a1.a1
2400.eg.6f4 $6$ C \(\Q(\zeta_{5})\) 2400.eg.6f $C_5:D_4\times A_5$ $C_5:D_4\times A_5$ $2400$ 2400.a1.a1 $1$ 1200.a1.a1
2400.eg.6g1 $6$ C \(\Q(\zeta_{5})\) 2400.eg.6g $C_5:D_4\times A_5$ $C_5:D_4\times A_5$ $2400$ 2400.a1.a1 $1$ 1200.a1.a1
2400.eg.6g2 $6$ C \(\Q(\zeta_{5})\) 2400.eg.6g $C_5:D_4\times A_5$ $C_5:D_4\times A_5$ $2400$ 2400.a1.a1 $1$ 1200.a1.a1
2400.eg.6g3 $6$ C \(\Q(\zeta_{5})\) 2400.eg.6g $C_5:D_4\times A_5$ $C_5:D_4\times A_5$ $2400$ 2400.a1.a1 $1$ 1200.a1.a1
2400.eg.6g4 $6$ C \(\Q(\zeta_{5})\) 2400.eg.6g $C_5:D_4\times A_5$ $C_5:D_4\times A_5$ $2400$ 2400.a1.a1 $1$ 1200.a1.a1
2400.eg.8a $8$ R \(\Q\) 2400.eg.8a $C_5:D_4\times A_5$ $D_4\times A_5$ $480$ 480.a1.a1 $5$ 240.a1.a1
2400.eg.8b1 $8$ R \(\Q(\sqrt{5}) \) 2400.eg.8b $C_5:D_4\times A_5$ $D_5\times A_5$ $600$ 600.a1.a1 $4$ 600.a1.a1
2400.eg.8b2 $8$ R \(\Q(\sqrt{5}) \) 2400.eg.8b $C_5:D_4\times A_5$ $D_5\times A_5$ $600$ 600.a1.a1 $4$ 600.a1.a1
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