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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
440.39.1a $1$ R \(\Q\) 440.39.1a $C_2\times C_{220}$ $C_1$ $1$ 1.a1.a1 $440$ 1.a1.a1
440.39.1b $1$ R \(\Q\) 440.39.1b $C_2\times C_{220}$ $C_2$ $2$ 2.b1.b1 $220$ 1.a1.a1
440.39.1c $1$ R \(\Q\) 440.39.1c $C_2\times C_{220}$ $C_2$ $2$ 2.b1.a1 $220$ 1.a1.a1
440.39.1d $1$ R \(\Q\) 440.39.1d $C_2\times C_{220}$ $C_2$ $2$ 2.a1.a1 $220$ 1.a1.a1
440.39.1e1 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1e $C_2\times C_{220}$ $C_4$ $4$ 4.a1.b1 $110$ 1.a1.a1
440.39.1e2 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1e $C_2\times C_{220}$ $C_4$ $4$ 4.a1.b1 $110$ 1.a1.a1
440.39.1f1 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1f $C_2\times C_{220}$ $C_4$ $4$ 4.a1.a1 $110$ 1.a1.a1
440.39.1f2 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1f $C_2\times C_{220}$ $C_4$ $4$ 4.a1.a1 $110$ 1.a1.a1
440.39.1g1 $1$ C \(\Q(\zeta_{5})\) 440.39.1g $C_2\times C_{220}$ $C_5$ $5$ 5.a1.a1 $88$ 1.a1.a1
440.39.1g2 $1$ C \(\Q(\zeta_{5})\) 440.39.1g $C_2\times C_{220}$ $C_5$ $5$ 5.a1.a1 $88$ 1.a1.a1
440.39.1g3 $1$ C \(\Q(\zeta_{5})\) 440.39.1g $C_2\times C_{220}$ $C_5$ $5$ 5.a1.a1 $88$ 1.a1.a1
440.39.1g4 $1$ C \(\Q(\zeta_{5})\) 440.39.1g $C_2\times C_{220}$ $C_5$ $5$ 5.a1.a1 $88$ 1.a1.a1
440.39.1h1 $1$ C \(\Q(\zeta_{5})\) 440.39.1h $C_2\times C_{220}$ $C_{10}$ $10$ 10.b1.b1 $44$ 1.a1.a1
440.39.1h2 $1$ C \(\Q(\zeta_{5})\) 440.39.1h $C_2\times C_{220}$ $C_{10}$ $10$ 10.b1.b1 $44$ 1.a1.a1
440.39.1h3 $1$ C \(\Q(\zeta_{5})\) 440.39.1h $C_2\times C_{220}$ $C_{10}$ $10$ 10.b1.b1 $44$ 1.a1.a1
440.39.1h4 $1$ C \(\Q(\zeta_{5})\) 440.39.1h $C_2\times C_{220}$ $C_{10}$ $10$ 10.b1.b1 $44$ 1.a1.a1
440.39.1i1 $1$ C \(\Q(\zeta_{5})\) 440.39.1i $C_2\times C_{220}$ $C_{10}$ $10$ 10.b1.a1 $44$ 1.a1.a1
440.39.1i2 $1$ C \(\Q(\zeta_{5})\) 440.39.1i $C_2\times C_{220}$ $C_{10}$ $10$ 10.b1.a1 $44$ 1.a1.a1
440.39.1i3 $1$ C \(\Q(\zeta_{5})\) 440.39.1i $C_2\times C_{220}$ $C_{10}$ $10$ 10.b1.a1 $44$ 1.a1.a1
440.39.1i4 $1$ C \(\Q(\zeta_{5})\) 440.39.1i $C_2\times C_{220}$ $C_{10}$ $10$ 10.b1.a1 $44$ 1.a1.a1
440.39.1j1 $1$ C \(\Q(\zeta_{5})\) 440.39.1j $C_2\times C_{220}$ $C_{10}$ $10$ 10.a1.a1 $44$ 1.a1.a1
440.39.1j2 $1$ C \(\Q(\zeta_{5})\) 440.39.1j $C_2\times C_{220}$ $C_{10}$ $10$ 10.a1.a1 $44$ 1.a1.a1
440.39.1j3 $1$ C \(\Q(\zeta_{5})\) 440.39.1j $C_2\times C_{220}$ $C_{10}$ $10$ 10.a1.a1 $44$ 1.a1.a1
440.39.1j4 $1$ C \(\Q(\zeta_{5})\) 440.39.1j $C_2\times C_{220}$ $C_{10}$ $10$ 10.a1.a1 $44$ 1.a1.a1
440.39.1k1 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1k $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.b1 $22$ 1.a1.a1
440.39.1k2 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1k $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.b1 $22$ 1.a1.a1
440.39.1k3 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1k $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.b1 $22$ 1.a1.a1
440.39.1k4 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1k $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.b1 $22$ 1.a1.a1
440.39.1k5 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1k $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.b1 $22$ 1.a1.a1
440.39.1k6 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1k $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.b1 $22$ 1.a1.a1
440.39.1k7 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1k $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.b1 $22$ 1.a1.a1
440.39.1k8 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1k $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.b1 $22$ 1.a1.a1
440.39.1l1 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1l $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.a1 $22$ 1.a1.a1
440.39.1l2 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1l $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.a1 $22$ 1.a1.a1
440.39.1l3 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1l $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.a1 $22$ 1.a1.a1
440.39.1l4 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1l $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.a1 $22$ 1.a1.a1
440.39.1l5 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1l $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.a1 $22$ 1.a1.a1
440.39.1l6 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1l $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.a1 $22$ 1.a1.a1
440.39.1l7 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1l $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.a1 $22$ 1.a1.a1
440.39.1l8 $1$ C \(\Q(\sqrt{-1}) \) 440.39.1l $C_2\times C_{220}$ $C_{20}$ $20$ 20.a1.a1 $22$ 1.a1.a1
440.39.1m1 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m10 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m2 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m3 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m4 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m5 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m6 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m7 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m8 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
440.39.1m9 $1$ C \(\Q(\zeta_{11})\) 440.39.1m $C_2\times C_{220}$ $C_{11}$ $11$ 11.a1.a1 $40$ 1.a1.a1
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