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Degree Type Faithful Conductor
Group Image Image Order (Kernel Index) Kernel Order
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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
21600.y.1a $1$ R \(\Q\) 21600.y.1a $S_3\times A_5^2$ $C_1$ $1$ 1.a1.a1 $21600$ 1.a1.a1
21600.y.1b $1$ R \(\Q\) 21600.y.1b $S_3\times A_5^2$ $C_2$ $2$ 2.a1.a1 $10800$ 1.a1.a1
21600.y.2a $2$ R \(\Q\) 21600.y.2a $S_3\times A_5^2$ $S_3$ $6$ 6.a1.a1 $3600$ 6.a1.a1
21600.y.3a1 $3$ R \(\Q(\sqrt{5}) \) 21600.y.3a $S_3\times A_5^2$ $A_5$ $60$ 60.a1.b1 $360$ 60.a1.b1
21600.y.3a2 $3$ R \(\Q(\sqrt{5}) \) 21600.y.3a $S_3\times A_5^2$ $A_5$ $60$ 60.a1.b1 $360$ 60.a1.b1
21600.y.3b1 $3$ R \(\Q(\sqrt{5}) \) 21600.y.3b $S_3\times A_5^2$ $A_5$ $60$ 60.a1.a1 $360$ 60.a1.a1
21600.y.3b2 $3$ R \(\Q(\sqrt{5}) \) 21600.y.3b $S_3\times A_5^2$ $A_5$ $60$ 60.a1.a1 $360$ 60.a1.a1
21600.y.3c1 $3$ R \(\Q(\sqrt{5}) \) 21600.y.3c $S_3\times A_5^2$ $C_2\times A_5$ $120$ 120.a1.b1 $180$ 60.a1.b1
21600.y.3c2 $3$ R \(\Q(\sqrt{5}) \) 21600.y.3c $S_3\times A_5^2$ $C_2\times A_5$ $120$ 120.a1.b1 $180$ 60.a1.b1
21600.y.3d1 $3$ R \(\Q(\sqrt{5}) \) 21600.y.3d $S_3\times A_5^2$ $C_2\times A_5$ $120$ 120.a1.a1 $180$ 60.a1.a1
21600.y.3d2 $3$ R \(\Q(\sqrt{5}) \) 21600.y.3d $S_3\times A_5^2$ $C_2\times A_5$ $120$ 120.a1.a1 $180$ 60.a1.a1
21600.y.4a $4$ R \(\Q\) 21600.y.4a $S_3\times A_5^2$ $A_5$ $60$ 60.a1.b1 $360$ 60.a1.b1
21600.y.4b $4$ R \(\Q\) 21600.y.4b $S_3\times A_5^2$ $A_5$ $60$ 60.a1.a1 $360$ 60.a1.a1
21600.y.4c $4$ R \(\Q\) 21600.y.4c $S_3\times A_5^2$ $C_2\times A_5$ $120$ 120.a1.b1 $180$ 60.a1.b1
21600.y.4d $4$ R \(\Q\) 21600.y.4d $S_3\times A_5^2$ $C_2\times A_5$ $120$ 120.a1.a1 $180$ 60.a1.a1
21600.y.5a $5$ R \(\Q\) 21600.y.5a $S_3\times A_5^2$ $A_5$ $60$ 60.a1.b1 $360$ 60.a1.b1
21600.y.5b $5$ R \(\Q\) 21600.y.5b $S_3\times A_5^2$ $A_5$ $60$ 60.a1.a1 $360$ 60.a1.a1
21600.y.5c $5$ R \(\Q\) 21600.y.5c $S_3\times A_5^2$ $C_2\times A_5$ $120$ 120.a1.b1 $180$ 60.a1.b1
21600.y.5d $5$ R \(\Q\) 21600.y.5d $S_3\times A_5^2$ $C_2\times A_5$ $120$ 120.a1.a1 $180$ 60.a1.a1
21600.y.6a1 $6$ R \(\Q(\sqrt{5}) \) 21600.y.6a $S_3\times A_5^2$ $S_3\times A_5$ $360$ 360.a1.b1 $60$ 360.a1.b1
21600.y.6a2 $6$ R \(\Q(\sqrt{5}) \) 21600.y.6a $S_3\times A_5^2$ $S_3\times A_5$ $360$ 360.a1.b1 $60$ 360.a1.b1
21600.y.6b1 $6$ R \(\Q(\sqrt{5}) \) 21600.y.6b $S_3\times A_5^2$ $S_3\times A_5$ $360$ 360.a1.a1 $60$ 360.a1.a1
21600.y.6b2 $6$ R \(\Q(\sqrt{5}) \) 21600.y.6b $S_3\times A_5^2$ $S_3\times A_5$ $360$ 360.a1.a1 $60$ 360.a1.a1
21600.y.8a $8$ R \(\Q\) 21600.y.8a $S_3\times A_5^2$ $S_3\times A_5$ $360$ 360.a1.b1 $60$ 360.a1.b1
21600.y.8b $8$ R \(\Q\) 21600.y.8b $S_3\times A_5^2$ $S_3\times A_5$ $360$ 360.a1.a1 $60$ 360.a1.a1
21600.y.9a1 $9$ R \(\Q(\sqrt{5}) \) 21600.y.9a $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.9a2 $9$ R \(\Q(\sqrt{5}) \) 21600.y.9a $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.9b1 $9$ R \(\Q(\sqrt{5}) \) 21600.y.9b $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.9b2 $9$ R \(\Q(\sqrt{5}) \) 21600.y.9b $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.9c1 $9$ R \(\Q(\sqrt{5}) \) 21600.y.9c $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.9c2 $9$ R \(\Q(\sqrt{5}) \) 21600.y.9c $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.9d1 $9$ R \(\Q(\sqrt{5}) \) 21600.y.9d $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.9d2 $9$ R \(\Q(\sqrt{5}) \) 21600.y.9d $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.10a $10$ R \(\Q\) 21600.y.10a $S_3\times A_5^2$ $S_3\times A_5$ $360$ 360.a1.b1 $60$ 360.a1.b1
21600.y.10b $10$ R \(\Q\) 21600.y.10b $S_3\times A_5^2$ $S_3\times A_5$ $360$ 360.a1.a1 $60$ 360.a1.a1
21600.y.12a1 $12$ R \(\Q(\sqrt{5}) \) 21600.y.12a $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.12a2 $12$ R \(\Q(\sqrt{5}) \) 21600.y.12a $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.12b1 $12$ R \(\Q(\sqrt{5}) \) 21600.y.12b $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.12b2 $12$ R \(\Q(\sqrt{5}) \) 21600.y.12b $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.12c1 $12$ R \(\Q(\sqrt{5}) \) 21600.y.12c $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.12c2 $12$ R \(\Q(\sqrt{5}) \) 21600.y.12c $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.12d1 $12$ R \(\Q(\sqrt{5}) \) 21600.y.12d $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.12d2 $12$ R \(\Q(\sqrt{5}) \) 21600.y.12d $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.15a1 $15$ R \(\Q(\sqrt{5}) \) 21600.y.15a $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.15a2 $15$ R \(\Q(\sqrt{5}) \) 21600.y.15a $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.15b1 $15$ R \(\Q(\sqrt{5}) \) 21600.y.15b $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.15b2 $15$ R \(\Q(\sqrt{5}) \) 21600.y.15b $S_3\times A_5^2$ $C_2\times A_5^2$ $7200$ 7200.a1.a1 $3$ 3600.a1.a1
21600.y.15c1 $15$ R \(\Q(\sqrt{5}) \) 21600.y.15c $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.15c2 $15$ R \(\Q(\sqrt{5}) \) 21600.y.15c $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
21600.y.15d1 $15$ R \(\Q(\sqrt{5}) \) 21600.y.15d $S_3\times A_5^2$ $A_5^2$ $3600$ 3600.a1.a1 $6$ 3600.a1.a1
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