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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
243.43.1a $1$ R \(\Q\) 243.43.1a $C_9^2:C_3$ $C_1$ $1$ 1.a1.a1 $243$ 1.a1.a1
243.43.1b1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1b $C_9^2:C_3$ $C_3$ $3$ 3.c1.c1 $81$ 1.a1.a1
243.43.1b2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1b $C_9^2:C_3$ $C_3$ $3$ 3.c1.c1 $81$ 1.a1.a1
243.43.1c1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1c $C_9^2:C_3$ $C_3$ $3$ 3.c1.d1 $81$ 1.a1.a1
243.43.1c2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1c $C_9^2:C_3$ $C_3$ $3$ 3.c1.d1 $81$ 1.a1.a1
243.43.1d1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1d $C_9^2:C_3$ $C_3$ $3$ 3.e1.b1 $81$ 1.a1.a1
243.43.1d2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1d $C_9^2:C_3$ $C_3$ $3$ 3.e1.b1 $81$ 1.a1.a1
243.43.1e1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1e $C_9^2:C_3$ $C_3$ $3$ 3.e1.a1 $81$ 1.a1.a1
243.43.1e2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1e $C_9^2:C_3$ $C_3$ $3$ 3.e1.a1 $81$ 1.a1.a1
243.43.1f1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1f $C_9^2:C_3$ $C_3$ $3$ 3.e1.d1 $81$ 1.a1.a1
243.43.1f2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1f $C_9^2:C_3$ $C_3$ $3$ 3.e1.d1 $81$ 1.a1.a1
243.43.1g1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1g $C_9^2:C_3$ $C_3$ $3$ 3.e1.c1 $81$ 1.a1.a1
243.43.1g2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1g $C_9^2:C_3$ $C_3$ $3$ 3.e1.c1 $81$ 1.a1.a1
243.43.1h1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1h $C_9^2:C_3$ $C_3$ $3$ 3.c1.b1 $81$ 1.a1.a1
243.43.1h2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1h $C_9^2:C_3$ $C_3$ $3$ 3.c1.b1 $81$ 1.a1.a1
243.43.1i1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1i $C_9^2:C_3$ $C_3$ $3$ 3.c1.a1 $81$ 1.a1.a1
243.43.1i2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1i $C_9^2:C_3$ $C_3$ $3$ 3.c1.a1 $81$ 1.a1.a1
243.43.1j1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1j $C_9^2:C_3$ $C_3$ $3$ 3.d1.a1 $81$ 1.a1.a1
243.43.1j2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1j $C_9^2:C_3$ $C_3$ $3$ 3.d1.a1 $81$ 1.a1.a1
243.43.1k1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1k $C_9^2:C_3$ $C_3$ $3$ 3.a1.b1 $81$ 1.a1.a1
243.43.1k2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1k $C_9^2:C_3$ $C_3$ $3$ 3.a1.b1 $81$ 1.a1.a1
243.43.1l1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1l $C_9^2:C_3$ $C_3$ $3$ 3.b1.a1 $81$ 1.a1.a1
243.43.1l2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1l $C_9^2:C_3$ $C_3$ $3$ 3.b1.a1 $81$ 1.a1.a1
243.43.1m1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1m $C_9^2:C_3$ $C_3$ $3$ 3.b1.b1 $81$ 1.a1.a1
243.43.1m2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1m $C_9^2:C_3$ $C_3$ $3$ 3.b1.b1 $81$ 1.a1.a1
243.43.1n1 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1n $C_9^2:C_3$ $C_3$ $3$ 3.a1.a1 $81$ 1.a1.a1
243.43.1n2 $1$ C \(\Q(\sqrt{-3}) \) 243.43.1n $C_9^2:C_3$ $C_3$ $3$ 3.a1.a1 $81$ 1.a1.a1
243.43.3a1 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3a $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.f1 $9$ 9.b1.b1
243.43.3a2 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3a $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.f1 $9$ 9.b1.b1
243.43.3b1 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3b $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.d1 $9$ 9.b1.b1
243.43.3b2 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3b $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.d1 $9$ 9.b1.b1
243.43.3c1 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3c $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.e1 $9$ 9.b1.b1
243.43.3c2 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3c $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.e1 $9$ 9.b1.b1
243.43.3d1 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3d $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.b1 $9$ 9.b1.a1
243.43.3d2 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3d $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.b1 $9$ 9.b1.a1
243.43.3e1 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3e $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.a1 $9$ 9.b1.a1
243.43.3e2 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3e $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.a1 $9$ 9.b1.a1
243.43.3f1 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3f $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.c1 $9$ 9.b1.a1
243.43.3f2 $3$ C \(\Q(\sqrt{-3}) \) 243.43.3f $C_9^2:C_3$ $C_9:C_3$ $27$ 27.a1.c1 $9$ 9.b1.a1
243.43.3g1 $3$ C \(\Q(\zeta_{9})\) 243.43.3g $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.a1 $3$ 9.c1.b1
243.43.3g2 $3$ C \(\Q(\zeta_{9})\) 243.43.3g $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.a1 $3$ 9.c1.b1
243.43.3g3 $3$ C \(\Q(\zeta_{9})\) 243.43.3g $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.a1 $3$ 9.c1.b1
243.43.3g4 $3$ C \(\Q(\zeta_{9})\) 243.43.3g $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.a1 $3$ 9.c1.b1
243.43.3g5 $3$ C \(\Q(\zeta_{9})\) 243.43.3g $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.a1 $3$ 9.c1.b1
243.43.3g6 $3$ C \(\Q(\zeta_{9})\) 243.43.3g $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.a1 $3$ 9.c1.b1
243.43.3h1 $3$ C \(\Q(\zeta_{9})\) 243.43.3h $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.b1 $3$ 9.c1.a1
243.43.3h2 $3$ C \(\Q(\zeta_{9})\) 243.43.3h $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.b1 $3$ 9.c1.a1
243.43.3h3 $3$ C \(\Q(\zeta_{9})\) 243.43.3h $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.b1 $3$ 9.c1.a1
243.43.3h4 $3$ C \(\Q(\zeta_{9})\) 243.43.3h $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.b1 $3$ 9.c1.a1
243.43.3h5 $3$ C \(\Q(\zeta_{9})\) 243.43.3h $C_9^2:C_3$ $C_9.C_3^2$ $81$ 81.b1.b1 $3$ 9.c1.a1
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