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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
324000.bm.1a $1$ R \(\Q\) 324000.bm.1a $C_{15}^3.(C_4\times S_4)$ $C_1$ $1$ 1.a1 $324000$ 1.a1
324000.bm.1b $1$ R \(\Q\) 324000.bm.1b $C_{15}^3.(C_4\times S_4)$ $C_2$ $2$ 2.c1 $162000$ 1.a1
324000.bm.1c $1$ R \(\Q\) 324000.bm.1c $C_{15}^3.(C_4\times S_4)$ $C_2$ $2$ 2.b1 $162000$ 1.a1
324000.bm.1d $1$ R \(\Q\) 324000.bm.1d $C_{15}^3.(C_4\times S_4)$ $C_2$ $2$ 2.a1 $162000$ 1.a1
324000.bm.1e1 $1$ C \(\Q(\sqrt{-1}) \) 324000.bm.1e $C_{15}^3.(C_4\times S_4)$ $C_4$ $4$ 4.c1 $81000$ 1.a1
324000.bm.1e2 $1$ C \(\Q(\sqrt{-1}) \) 324000.bm.1e $C_{15}^3.(C_4\times S_4)$ $C_4$ $4$ 4.c1 $81000$ 1.a1
324000.bm.1f1 $1$ C \(\Q(\sqrt{-1}) \) 324000.bm.1f $C_{15}^3.(C_4\times S_4)$ $C_4$ $4$ 4.a1 $81000$ 1.a1
324000.bm.1f2 $1$ C \(\Q(\sqrt{-1}) \) 324000.bm.1f $C_{15}^3.(C_4\times S_4)$ $C_4$ $4$ 4.a1 $81000$ 1.a1
324000.bm.2a $2$ R \(\Q\) 324000.bm.2a $C_{15}^3.(C_4\times S_4)$ $S_3$ $6$ 6.a1 $54000$ 6.a1
324000.bm.2b $2$ R \(\Q\) 324000.bm.2b $C_{15}^3.(C_4\times S_4)$ $D_6$ $12$ 12.a1 $27000$ 6.a1
324000.bm.2c1 $2$ C \(\Q(\sqrt{-1}) \) 324000.bm.2c $C_{15}^3.(C_4\times S_4)$ $C_4\times S_3$ $24$ 24.b1 $13500$ 6.a1
324000.bm.2c2 $2$ C \(\Q(\sqrt{-1}) \) 324000.bm.2c $C_{15}^3.(C_4\times S_4)$ $C_4\times S_3$ $24$ 24.b1 $13500$ 6.a1
324000.bm.3a $3$ R \(\Q\) 324000.bm.3a $C_{15}^3.(C_4\times S_4)$ $S_4$ $24$ 24.a1 $13500$ 24.a1
324000.bm.3b $3$ R \(\Q\) 324000.bm.3b $C_{15}^3.(C_4\times S_4)$ $S_4$ $24$ 24.a1 $13500$ 24.a1
324000.bm.3c $3$ R \(\Q\) 324000.bm.3c $C_{15}^3.(C_4\times S_4)$ $C_2\times S_4$ $48$ 48.a1 $6750$ 24.a1
324000.bm.3d $3$ R \(\Q\) 324000.bm.3d $C_{15}^3.(C_4\times S_4)$ $C_2\times S_4$ $48$ 48.a1 $6750$ 24.a1
324000.bm.3e1 $3$ C \(\Q(\sqrt{-1}) \) 324000.bm.3e $C_{15}^3.(C_4\times S_4)$ $C_4\times S_4$ $96$ 96.a1 $3375$ 24.a1
324000.bm.3e2 $3$ C \(\Q(\sqrt{-1}) \) 324000.bm.3e $C_{15}^3.(C_4\times S_4)$ $C_4\times S_4$ $96$ 96.a1 $3375$ 24.a1
324000.bm.3f1 $3$ C \(\Q(\sqrt{-1}) \) 324000.bm.3f $C_{15}^3.(C_4\times S_4)$ $C_4\times S_4$ $96$ 96.a1 $3375$ 24.a1
324000.bm.3f2 $3$ C \(\Q(\sqrt{-1}) \) 324000.bm.3f $C_{15}^3.(C_4\times S_4)$ $C_4\times S_4$ $96$ 96.a1 $3375$ 24.a1
324000.bm.6a $6$ R \(\Q\) 324000.bm.6a $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.6b $6$ R \(\Q\) 324000.bm.6b $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.6c $6$ R \(\Q\) 324000.bm.6c $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.6d $6$ R \(\Q\) 324000.bm.6d $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.6e1 $6$ C \(\Q(\sqrt{-1}) \) 324000.bm.6e $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.6e2 $6$ C \(\Q(\sqrt{-1}) \) 324000.bm.6e $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.6f1 $6$ C \(\Q(\sqrt{-1}) \) 324000.bm.6f $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.6f2 $6$ C \(\Q(\sqrt{-1}) \) 324000.bm.6f $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.8a $8$ R \(\Q\) 324000.bm.8a $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.8b $8$ R \(\Q\) 324000.bm.8b $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.8c $8$ S \(\Q\) 324000.bm.8c $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.8d $8$ S \(\Q\) 324000.bm.8d $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.12a $12$ R \(\Q\) 324000.bm.12a $C_{15}^3.(C_4\times S_4)$ $D_5^3.D_6$ $12000$ 12000.a1 $27$ 12000.a1
324000.bm.12b $12$ R \(\Q\) 324000.bm.12b $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.12c $12$ R \(\Q\) 324000.bm.12c $C_{15}^3.(C_4\times S_4)$ $D_5^3.D_6$ $12000$ 12000.a1 $27$ 12000.a1
324000.bm.12d $12$ R \(\Q\) 324000.bm.12d $C_{15}^3.(C_4\times S_4)$ $D_5^3.D_6$ $12000$ 12000.a1 $27$ 12000.a1
324000.bm.12e $12$ R \(\Q\) 324000.bm.12e $C_{15}^3.(C_4\times S_4)$ $D_5^3.D_6$ $12000$ 12000.a1 $27$ 12000.a1
324000.bm.12f $12$ R \(\Q\) 324000.bm.12f $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.12g $12$ R \(\Q\) 324000.bm.12g $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.12h $12$ R \(\Q\) 324000.bm.12h $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.12i $12$ R \(\Q\) 324000.bm.12i $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.12j $12$ S \(\Q\) 324000.bm.12j $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.12k1 $12$ C \(\Q(\sqrt{-1}) \) 324000.bm.12k $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.12k2 $12$ C \(\Q(\sqrt{-1}) \) 324000.bm.12k $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.12l1 $12$ C \(\Q(\sqrt{-1}) \) 324000.bm.12l $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.12l2 $12$ C \(\Q(\sqrt{-1}) \) 324000.bm.12l $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
324000.bm.16a $16$ R \(\Q\) 324000.bm.16a $C_{15}^3.(C_4\times S_4)$ $D_5^3.D_6$ $12000$ 12000.a1 $27$ 12000.a1
324000.bm.16b $16$ R \(\Q\) 324000.bm.16b $C_{15}^3.(C_4\times S_4)$ $S_3\wr S_3$ $1296$ 1296.a1 $250$ 1296.a1
324000.bm.16c $16$ R \(\Q\) 324000.bm.16c $C_{15}^3.(C_4\times S_4)$ $D_5^3.D_6$ $12000$ 12000.a1 $27$ 12000.a1
324000.bm.16d $16$ S \(\Q\) 324000.bm.16d $C_{15}^3.(C_4\times S_4)$ $C_3^3:(C_4\times S_4)$ $2592$ 2592.a1 $125$ 1296.a1
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