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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
34992.mr.1a $1$ R \(\Q\) 34992.mr.1a $C_3^5:F_9:C_2$ $C_1$ $1$ 1.a1 $34992$ 1.a1
34992.mr.1b $1$ R \(\Q\) 34992.mr.1b $C_3^5:F_9:C_2$ $C_2$ $2$ 2.c1 $17496$ 1.a1
34992.mr.1c $1$ R \(\Q\) 34992.mr.1c $C_3^5:F_9:C_2$ $C_2$ $2$ 2.b1 $17496$ 1.a1
34992.mr.1d $1$ R \(\Q\) 34992.mr.1d $C_3^5:F_9:C_2$ $C_2$ $2$ 2.a1 $17496$ 1.a1
34992.mr.2a $2$ R \(\Q\) 34992.mr.2a $C_3^5:F_9:C_2$ $D_4$ $8$ 8.a1 $4374$ 4.a1
34992.mr.2b1 $2$ C \(\Q(\sqrt{-2}) \) 34992.mr.2b $C_3^5:F_9:C_2$ $\SD_{16}$ $16$ 16.a1 $2187$ 8.a1
34992.mr.2b2 $2$ C \(\Q(\sqrt{-2}) \) 34992.mr.2b $C_3^5:F_9:C_2$ $\SD_{16}$ $16$ 16.a1 $2187$ 8.a1
34992.mr.8a $8$ R \(\Q\) 34992.mr.8a $C_3^5:F_9:C_2$ $F_9:C_2$ $144$ 144.a1 $243$ 144.a1
34992.mr.8b $8$ R \(\Q\) 34992.mr.8b $C_3^5:F_9:C_2$ $F_9:C_2$ $144$ 144.a1 $243$ 144.a1
34992.mr.8c $8$ R \(\Q\) 34992.mr.8c $C_3^5:F_9:C_2$ $F_9:C_2$ $144$ 144.a1 $243$ 144.a1
34992.mr.8d $8$ R \(\Q\) 34992.mr.8d $C_3^5:F_9:C_2$ $F_9:C_2$ $144$ 144.a1 $243$ 144.a1
34992.mr.8e $8$ R \(\Q\) 34992.mr.8e $C_3^5:F_9:C_2$ $F_9:C_2$ $144$ 144.a1 $243$ 144.a1
34992.mr.8f $8$ R \(\Q\) 34992.mr.8f $C_3^5:F_9:C_2$ $F_9:C_2$ $144$ 144.a1 $243$ 144.a1
34992.mr.8g $8$ R \(\Q\) 34992.mr.8g $C_3^5:F_9:C_2$ $F_9:C_2$ $144$ 144.a1 $243$ 144.a1
34992.mr.8h $8$ R \(\Q\) 34992.mr.8h $C_3^5:F_9:C_2$ $F_9:C_2$ $144$ 144.a1 $243$ 144.a1
34992.mr.12a1 $12$ C \(\Q(\sqrt{-3}) \) 34992.mr.12a $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.12a2 $12$ C \(\Q(\sqrt{-3}) \) 34992.mr.12a $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.12b1 $12$ C \(\Q(\sqrt{-3}) \) 34992.mr.12b $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.12b2 $12$ C \(\Q(\sqrt{-3}) \) 34992.mr.12b $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.12c1 $12$ C \(\Q(\sqrt{-3}) \) 34992.mr.12c $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.12c2 $12$ C \(\Q(\sqrt{-3}) \) 34992.mr.12c $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.12d1 $12$ C \(\Q(\sqrt{-3}) \) 34992.mr.12d $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.12d2 $12$ C \(\Q(\sqrt{-3}) \) 34992.mr.12d $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.16a $16$ R \(\Q\) 34992.mr.16a $C_3^5:F_9:C_2$ $C_3^4:\SD_{16}$ $1296$ 1296.a1 $27$ 1296.a1
34992.mr.16b $16$ R \(\Q\) 34992.mr.16b $C_3^5:F_9:C_2$ $C_3^4:\SD_{16}$ $1296$ 1296.a1 $27$ 1296.a1
34992.mr.16c $16$ R \(\Q\) 34992.mr.16c $C_3^5:F_9:C_2$ $C_3^4:\SD_{16}$ $1296$ 1296.a1 $27$ 1296.a1
34992.mr.18a $18$ R \(\Q\) 34992.mr.18a $C_3^5:F_9:C_2$ $C_3^3:F_9:C_2$ $3888$ 3888.a1 $9$ 3888.a1
34992.mr.18b $18$ R \(\Q\) 34992.mr.18b $C_3^5:F_9:C_2$ $C_3^3:F_9:C_2$ $3888$ 3888.a1 $9$ 3888.a1
34992.mr.18c1 $18$ C \(\Q(\sqrt{-3}) \) 34992.mr.18c $C_3^5:F_9:C_2$ $C_3^3:F_9:C_2$ $3888$ 3888.a1 $9$ 3888.a1
34992.mr.18c2 $18$ C \(\Q(\sqrt{-3}) \) 34992.mr.18c $C_3^5:F_9:C_2$ $C_3^3:F_9:C_2$ $3888$ 3888.a1 $9$ 3888.a1
34992.mr.24a1 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24a $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24a2 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24a $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24b1 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24b $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24b2 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24b $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24c1 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24c $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24c2 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24c $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24d1 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24d $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24d2 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24d $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24e1 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24e $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24e2 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24e $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24f1 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24f $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24f2 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24f $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24g1 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24g $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24g2 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24g $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24h1 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24h $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.24h2 $24$ C \(\Q(\sqrt{-3}) \) 34992.mr.24h $C_3^5:F_9:C_2$ $C_3^5:F_9:C_2$ $34992$ 34992.a1 $1$ 34992.a1
34992.mr.36a $36$ R \(\Q\) 34992.mr.36a $C_3^5:F_9:C_2$ $11664$ 11664.a1 $3$ 11664.a1
34992.mr.36b $36$ R \(\Q\) 34992.mr.36b $C_3^5:F_9:C_2$ $11664$ 11664.a1 $3$ 11664.a1
34992.mr.36c $36$ R \(\Q\) 34992.mr.36c $C_3^5:F_9:C_2$ $11664$ 11664.a1 $3$ 11664.a1
34992.mr.36d $36$ R \(\Q\) 34992.mr.36d $C_3^5:F_9:C_2$ $11664$ 11664.a1 $3$ 11664.a1
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