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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1584.401.1a $1$ R \(\Q\) 1584.401.1a $C_{22}.\PSU(3,2)$ $C_1$ $1$ 1.a1.a1 $1584$ 1.a1.a1
1584.401.1b $1$ R \(\Q\) 1584.401.1b $C_{22}.\PSU(3,2)$ $C_2$ $2$ 2.b1.a1 $792$ 1.a1.a1
1584.401.1c $1$ R \(\Q\) 1584.401.1c $C_{22}.\PSU(3,2)$ $C_2$ $2$ 2.a1.a1 $792$ 1.a1.a1
1584.401.1d $1$ R \(\Q\) 1584.401.1d $C_{22}.\PSU(3,2)$ $C_2$ $2$ 2.b1.b1 $792$ 1.a1.a1
1584.401.1e1 $1$ C \(\Q(\sqrt{-1}) \) 1584.401.1e $C_{22}.\PSU(3,2)$ $C_4$ $4$ 4.b1.b1 $396$ 1.a1.a1
1584.401.1e2 $1$ C \(\Q(\sqrt{-1}) \) 1584.401.1e $C_{22}.\PSU(3,2)$ $C_4$ $4$ 4.b1.b1 $396$ 1.a1.a1
1584.401.1f1 $1$ C \(\Q(\sqrt{-1}) \) 1584.401.1f $C_{22}.\PSU(3,2)$ $C_4$ $4$ 4.b1.a1 $396$ 1.a1.a1
1584.401.1f2 $1$ C \(\Q(\sqrt{-1}) \) 1584.401.1f $C_{22}.\PSU(3,2)$ $C_4$ $4$ 4.b1.a1 $396$ 1.a1.a1
1584.401.1g1 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g10 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g2 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g3 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g4 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g5 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g6 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g7 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g8 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1g9 $1$ C \(\Q(\zeta_{11})\) 1584.401.1g $C_{22}.\PSU(3,2)$ $C_{11}$ $11$ 11.a1.a1 $144$ 1.a1.a1
1584.401.1h1 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h10 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h2 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h3 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h4 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h5 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h6 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h7 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h8 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1h9 $1$ C \(\Q(\zeta_{11})\) 1584.401.1h $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.a1 $72$ 1.a1.a1
1584.401.1i1 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i10 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i2 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i3 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i4 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i5 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i6 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i7 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i8 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1i9 $1$ C \(\Q(\zeta_{11})\) 1584.401.1i $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.a1.a1 $72$ 1.a1.a1
1584.401.1j1 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j10 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j2 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j3 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j4 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j5 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j6 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j7 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j8 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1j9 $1$ C \(\Q(\zeta_{11})\) 1584.401.1j $C_{22}.\PSU(3,2)$ $C_{22}$ $22$ 22.b1.b1 $72$ 1.a1.a1
1584.401.1k1 $1$ C \(\Q(\sqrt{-1}) \) 1584.401.1k $C_{22}.\PSU(3,2)$ $C_{44}$ $44$ 44.b1.b1 $36$ 1.a1.a1
1584.401.1k10 $1$ C \(\Q(\sqrt{-1}) \) 1584.401.1k $C_{22}.\PSU(3,2)$ $C_{44}$ $44$ 44.b1.b1 $36$ 1.a1.a1
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