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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
14520.bm.1a $1$ R \(\Q\) 14520.bm.1a $C_{11}^2:(C_5\times D_{12})$ $C_1$ $1$ 1.a1.a1 $14520$ 1.a1.a1
14520.bm.1b $1$ R \(\Q\) 14520.bm.1b $C_{11}^2:(C_5\times D_{12})$ $C_2$ $2$ 2.b1.a1 $7260$ 1.a1.a1
14520.bm.1c $1$ R \(\Q\) 14520.bm.1c $C_{11}^2:(C_5\times D_{12})$ $C_2$ $2$ 2.a1.b1 $7260$ 1.a1.a1
14520.bm.1d $1$ R \(\Q\) 14520.bm.1d $C_{11}^2:(C_5\times D_{12})$ $C_2$ $2$ 2.a1.a1 $7260$ 1.a1.a1
14520.bm.1e1 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1e $C_{11}^2:(C_5\times D_{12})$ $C_5$ $5$ 5.a1.a1 $2904$ 1.a1.a1
14520.bm.1e2 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1e $C_{11}^2:(C_5\times D_{12})$ $C_5$ $5$ 5.a1.a1 $2904$ 1.a1.a1
14520.bm.1e3 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1e $C_{11}^2:(C_5\times D_{12})$ $C_5$ $5$ 5.a1.a1 $2904$ 1.a1.a1
14520.bm.1e4 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1e $C_{11}^2:(C_5\times D_{12})$ $C_5$ $5$ 5.a1.a1 $2904$ 1.a1.a1
14520.bm.1f1 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1f $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.b1.a1 $1452$ 1.a1.a1
14520.bm.1f2 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1f $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.b1.a1 $1452$ 1.a1.a1
14520.bm.1f3 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1f $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.b1.a1 $1452$ 1.a1.a1
14520.bm.1f4 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1f $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.b1.a1 $1452$ 1.a1.a1
14520.bm.1g1 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1g $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.a1.b1 $1452$ 1.a1.a1
14520.bm.1g2 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1g $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.a1.b1 $1452$ 1.a1.a1
14520.bm.1g3 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1g $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.a1.b1 $1452$ 1.a1.a1
14520.bm.1g4 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1g $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.a1.b1 $1452$ 1.a1.a1
14520.bm.1h1 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1h $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.a1.a1 $1452$ 1.a1.a1
14520.bm.1h2 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1h $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.a1.a1 $1452$ 1.a1.a1
14520.bm.1h3 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1h $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.a1.a1 $1452$ 1.a1.a1
14520.bm.1h4 $1$ C \(\Q(\zeta_{5})\) 14520.bm.1h $C_{11}^2:(C_5\times D_{12})$ $C_{10}$ $10$ 10.a1.a1 $1452$ 1.a1.a1
14520.bm.2a $2$ R \(\Q\) 14520.bm.2a $C_{11}^2:(C_5\times D_{12})$ $S_3$ $6$ 6.a1.a1 $2420$ 6.a1.a1
14520.bm.2b $2$ R \(\Q\) 14520.bm.2b $C_{11}^2:(C_5\times D_{12})$ $D_4$ $8$ 8.a1.a1 $1815$ 4.a1.a1
14520.bm.2c $2$ R \(\Q\) 14520.bm.2c $C_{11}^2:(C_5\times D_{12})$ $D_6$ $12$ 12.a1.a1 $1210$ 6.a1.a1
14520.bm.2d1 $2$ R \(\Q(\sqrt{3}) \) 14520.bm.2d $C_{11}^2:(C_5\times D_{12})$ $D_{12}$ $24$ 24.a1.a1 $605$ 12.a1.a1
14520.bm.2d2 $2$ R \(\Q(\sqrt{3}) \) 14520.bm.2d $C_{11}^2:(C_5\times D_{12})$ $D_{12}$ $24$ 24.a1.a1 $605$ 12.a1.a1
14520.bm.2e1 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2e $C_{11}^2:(C_5\times D_{12})$ $C_5\times S_3$ $30$ 30.a1.a1 $484$ 6.a1.a1
14520.bm.2e2 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2e $C_{11}^2:(C_5\times D_{12})$ $C_5\times S_3$ $30$ 30.a1.a1 $484$ 6.a1.a1
14520.bm.2e3 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2e $C_{11}^2:(C_5\times D_{12})$ $C_5\times S_3$ $30$ 30.a1.a1 $484$ 6.a1.a1
14520.bm.2e4 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2e $C_{11}^2:(C_5\times D_{12})$ $C_5\times S_3$ $30$ 30.a1.a1 $484$ 6.a1.a1
14520.bm.2f1 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2f $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_4$ $40$ 40.a1.a1 $363$ 4.a1.a1
14520.bm.2f2 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2f $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_4$ $40$ 40.a1.a1 $363$ 4.a1.a1
14520.bm.2f3 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2f $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_4$ $40$ 40.a1.a1 $363$ 4.a1.a1
14520.bm.2f4 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2f $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_4$ $40$ 40.a1.a1 $363$ 4.a1.a1
14520.bm.2g1 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2g $C_{11}^2:(C_5\times D_{12})$ $S_3\times C_{10}$ $60$ 60.a1.a1 $242$ 6.a1.a1
14520.bm.2g2 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2g $C_{11}^2:(C_5\times D_{12})$ $S_3\times C_{10}$ $60$ 60.a1.a1 $242$ 6.a1.a1
14520.bm.2g3 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2g $C_{11}^2:(C_5\times D_{12})$ $S_3\times C_{10}$ $60$ 60.a1.a1 $242$ 6.a1.a1
14520.bm.2g4 $2$ C \(\Q(\zeta_{5})\) 14520.bm.2g $C_{11}^2:(C_5\times D_{12})$ $S_3\times C_{10}$ $60$ 60.a1.a1 $242$ 6.a1.a1
14520.bm.2h1 $2$ C 8.0.324000000.3 14520.bm.2h $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_{12}$ $120$ 120.a1.a1 $121$ 12.a1.a1
14520.bm.2h2 $2$ C 8.0.324000000.3 14520.bm.2h $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_{12}$ $120$ 120.a1.a1 $121$ 12.a1.a1
14520.bm.2h3 $2$ C 8.0.324000000.3 14520.bm.2h $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_{12}$ $120$ 120.a1.a1 $121$ 12.a1.a1
14520.bm.2h4 $2$ C 8.0.324000000.3 14520.bm.2h $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_{12}$ $120$ 120.a1.a1 $121$ 12.a1.a1
14520.bm.2h5 $2$ C 8.0.324000000.3 14520.bm.2h $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_{12}$ $120$ 120.a1.a1 $121$ 12.a1.a1
14520.bm.2h6 $2$ C 8.0.324000000.3 14520.bm.2h $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_{12}$ $120$ 120.a1.a1 $121$ 12.a1.a1
14520.bm.2h7 $2$ C 8.0.324000000.3 14520.bm.2h $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_{12}$ $120$ 120.a1.a1 $121$ 12.a1.a1
14520.bm.2h8 $2$ C 8.0.324000000.3 14520.bm.2h $C_{11}^2:(C_5\times D_{12})$ $C_5\times D_{12}$ $120$ 120.a1.a1 $121$ 12.a1.a1
14520.bm.15a1 $15$ C \(\Q(\sqrt{-11}) \) 14520.bm.15a $C_{11}^2:(C_5\times D_{12})$ $C_{11}^2:(C_5\times S_3)$ $3630$ 3630.a1.a1 $4$ 3630.a1.a1
14520.bm.15a2 $15$ C \(\Q(\sqrt{-11}) \) 14520.bm.15a $C_{11}^2:(C_5\times D_{12})$ $C_{11}^2:(C_5\times S_3)$ $3630$ 3630.a1.a1 $4$ 3630.a1.a1
14520.bm.15b1 $15$ C \(\Q(\sqrt{-11}) \) 14520.bm.15b $C_{11}^2:(C_5\times D_{12})$ $C_{11}^2:(C_5\times S_3)$ $3630$ 3630.a1.a1 $4$ 3630.a1.a1
14520.bm.15b2 $15$ C \(\Q(\sqrt{-11}) \) 14520.bm.15b $C_{11}^2:(C_5\times D_{12})$ $C_{11}^2:(C_5\times S_3)$ $3630$ 3630.a1.a1 $4$ 3630.a1.a1
14520.bm.15c1 $15$ C \(\Q(\sqrt{-11}) \) 14520.bm.15c $C_{11}^2:(C_5\times D_{12})$ $C_{11}^2:(S_3\times C_{10})$ $7260$ 7260.a1.a1 $2$ 3630.a1.a1
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