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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
18528.d.1a $1$ R \(\Q\) 18528.d.1a $C_{193}:C_{96}$ $C_1$ $1$ 1.a1.a1 $18528$ 1.a1.a1
18528.d.1b $1$ R \(\Q\) 18528.d.1b $C_{193}:C_{96}$ $C_2$ $2$ 2.a1.a1 $9264$ 1.a1.a1
18528.d.1c1 $1$ C \(\Q(\sqrt{-3}) \) 18528.d.1c $C_{193}:C_{96}$ $C_3$ $3$ 3.a1.a1 $6176$ 1.a1.a1
18528.d.1c2 $1$ C \(\Q(\sqrt{-3}) \) 18528.d.1c $C_{193}:C_{96}$ $C_3$ $3$ 3.a1.a1 $6176$ 1.a1.a1
18528.d.1d1 $1$ C \(\Q(\sqrt{-1}) \) 18528.d.1d $C_{193}:C_{96}$ $C_4$ $4$ 4.a1.a1 $4632$ 1.a1.a1
18528.d.1d2 $1$ C \(\Q(\sqrt{-1}) \) 18528.d.1d $C_{193}:C_{96}$ $C_4$ $4$ 4.a1.a1 $4632$ 1.a1.a1
18528.d.1e1 $1$ C \(\Q(\sqrt{-3}) \) 18528.d.1e $C_{193}:C_{96}$ $C_6$ $6$ 6.a1.a1 $3088$ 1.a1.a1
18528.d.1e2 $1$ C \(\Q(\sqrt{-3}) \) 18528.d.1e $C_{193}:C_{96}$ $C_6$ $6$ 6.a1.a1 $3088$ 1.a1.a1
18528.d.1f1 $1$ C \(\Q(\zeta_{8})\) 18528.d.1f $C_{193}:C_{96}$ $C_8$ $8$ 8.a1.a1 $2316$ 1.a1.a1
18528.d.1f2 $1$ C \(\Q(\zeta_{8})\) 18528.d.1f $C_{193}:C_{96}$ $C_8$ $8$ 8.a1.a1 $2316$ 1.a1.a1
18528.d.1f3 $1$ C \(\Q(\zeta_{8})\) 18528.d.1f $C_{193}:C_{96}$ $C_8$ $8$ 8.a1.a1 $2316$ 1.a1.a1
18528.d.1f4 $1$ C \(\Q(\zeta_{8})\) 18528.d.1f $C_{193}:C_{96}$ $C_8$ $8$ 8.a1.a1 $2316$ 1.a1.a1
18528.d.1g1 $1$ C \(\Q(\sqrt{-1}) \) 18528.d.1g $C_{193}:C_{96}$ $C_{12}$ $12$ 12.a1.a1 $1544$ 1.a1.a1
18528.d.1g2 $1$ C \(\Q(\sqrt{-1}) \) 18528.d.1g $C_{193}:C_{96}$ $C_{12}$ $12$ 12.a1.a1 $1544$ 1.a1.a1
18528.d.1g3 $1$ C \(\Q(\sqrt{-1}) \) 18528.d.1g $C_{193}:C_{96}$ $C_{12}$ $12$ 12.a1.a1 $1544$ 1.a1.a1
18528.d.1g4 $1$ C \(\Q(\sqrt{-1}) \) 18528.d.1g $C_{193}:C_{96}$ $C_{12}$ $12$ 12.a1.a1 $1544$ 1.a1.a1
18528.d.1h1 $1$ C \(\Q(\zeta_{16})\) 18528.d.1h $C_{193}:C_{96}$ $C_{16}$ $16$ 16.a1.a1 $1158$ 1.a1.a1
18528.d.1h2 $1$ C \(\Q(\zeta_{16})\) 18528.d.1h $C_{193}:C_{96}$ $C_{16}$ $16$ 16.a1.a1 $1158$ 1.a1.a1
18528.d.1h3 $1$ C \(\Q(\zeta_{16})\) 18528.d.1h $C_{193}:C_{96}$ $C_{16}$ $16$ 16.a1.a1 $1158$ 1.a1.a1
18528.d.1h4 $1$ C \(\Q(\zeta_{16})\) 18528.d.1h $C_{193}:C_{96}$ $C_{16}$ $16$ 16.a1.a1 $1158$ 1.a1.a1
18528.d.1h5 $1$ C \(\Q(\zeta_{16})\) 18528.d.1h $C_{193}:C_{96}$ $C_{16}$ $16$ 16.a1.a1 $1158$ 1.a1.a1
18528.d.1h6 $1$ C \(\Q(\zeta_{16})\) 18528.d.1h $C_{193}:C_{96}$ $C_{16}$ $16$ 16.a1.a1 $1158$ 1.a1.a1
18528.d.1h7 $1$ C \(\Q(\zeta_{16})\) 18528.d.1h $C_{193}:C_{96}$ $C_{16}$ $16$ 16.a1.a1 $1158$ 1.a1.a1
18528.d.1h8 $1$ C \(\Q(\zeta_{16})\) 18528.d.1h $C_{193}:C_{96}$ $C_{16}$ $16$ 16.a1.a1 $1158$ 1.a1.a1
18528.d.1i1 $1$ C \(\Q(\zeta_{8})\) 18528.d.1i $C_{193}:C_{96}$ $C_{24}$ $24$ 24.a1.a1 $772$ 1.a1.a1
18528.d.1i2 $1$ C \(\Q(\zeta_{8})\) 18528.d.1i $C_{193}:C_{96}$ $C_{24}$ $24$ 24.a1.a1 $772$ 1.a1.a1
18528.d.1i3 $1$ C \(\Q(\zeta_{8})\) 18528.d.1i $C_{193}:C_{96}$ $C_{24}$ $24$ 24.a1.a1 $772$ 1.a1.a1
18528.d.1i4 $1$ C \(\Q(\zeta_{8})\) 18528.d.1i $C_{193}:C_{96}$ $C_{24}$ $24$ 24.a1.a1 $772$ 1.a1.a1
18528.d.1i5 $1$ C \(\Q(\zeta_{8})\) 18528.d.1i $C_{193}:C_{96}$ $C_{24}$ $24$ 24.a1.a1 $772$ 1.a1.a1
18528.d.1i6 $1$ C \(\Q(\zeta_{8})\) 18528.d.1i $C_{193}:C_{96}$ $C_{24}$ $24$ 24.a1.a1 $772$ 1.a1.a1
18528.d.1i7 $1$ C \(\Q(\zeta_{8})\) 18528.d.1i $C_{193}:C_{96}$ $C_{24}$ $24$ 24.a1.a1 $772$ 1.a1.a1
18528.d.1i8 $1$ C \(\Q(\zeta_{8})\) 18528.d.1i $C_{193}:C_{96}$ $C_{24}$ $24$ 24.a1.a1 $772$ 1.a1.a1
18528.d.1j1 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j10 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j11 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j12 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j13 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j14 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j15 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j16 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j2 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j3 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j4 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j5 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j6 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j7 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j8 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1j9 $1$ C \(\Q(\zeta_{32})\) 18528.d.1j $C_{193}:C_{96}$ $C_{32}$ $32$ 32.a1.a1 $579$ 1.a1.a1
18528.d.1k1 $1$ C \(\Q(\zeta_{16})\) 18528.d.1k $C_{193}:C_{96}$ $C_{48}$ $48$ 48.a1.a1 $386$ 1.a1.a1
18528.d.1k10 $1$ C \(\Q(\zeta_{16})\) 18528.d.1k $C_{193}:C_{96}$ $C_{48}$ $48$ 48.a1.a1 $386$ 1.a1.a1
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