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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
175.1.1a $1$ R \(\Q\) 175.1.1a $C_{175}$ $C_1$ $1$ 1.a1.a1 $175$ 1.a1.a1
175.1.1b1 $1$ C \(\Q(\zeta_{5})\) 175.1.1b $C_{175}$ $C_5$ $5$ 5.a1.a1 $35$ 1.a1.a1
175.1.1b2 $1$ C \(\Q(\zeta_{5})\) 175.1.1b $C_{175}$ $C_5$ $5$ 5.a1.a1 $35$ 1.a1.a1
175.1.1b3 $1$ C \(\Q(\zeta_{5})\) 175.1.1b $C_{175}$ $C_5$ $5$ 5.a1.a1 $35$ 1.a1.a1
175.1.1b4 $1$ C \(\Q(\zeta_{5})\) 175.1.1b $C_{175}$ $C_5$ $5$ 5.a1.a1 $35$ 1.a1.a1
175.1.1c1 $1$ C \(\Q(\zeta_{7})\) 175.1.1c $C_{175}$ $C_7$ $7$ 7.a1.a1 $25$ 1.a1.a1
175.1.1c2 $1$ C \(\Q(\zeta_{7})\) 175.1.1c $C_{175}$ $C_7$ $7$ 7.a1.a1 $25$ 1.a1.a1
175.1.1c3 $1$ C \(\Q(\zeta_{7})\) 175.1.1c $C_{175}$ $C_7$ $7$ 7.a1.a1 $25$ 1.a1.a1
175.1.1c4 $1$ C \(\Q(\zeta_{7})\) 175.1.1c $C_{175}$ $C_7$ $7$ 7.a1.a1 $25$ 1.a1.a1
175.1.1c5 $1$ C \(\Q(\zeta_{7})\) 175.1.1c $C_{175}$ $C_7$ $7$ 7.a1.a1 $25$ 1.a1.a1
175.1.1c6 $1$ C \(\Q(\zeta_{7})\) 175.1.1c $C_{175}$ $C_7$ $7$ 7.a1.a1 $25$ 1.a1.a1
175.1.1d1 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d10 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d11 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d12 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d13 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d14 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d15 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d16 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d17 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d18 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d19 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d2 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d20 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d3 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d4 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d5 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d6 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d7 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d8 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1d9 $1$ C \(\Q(\zeta_{25})\) 175.1.1d $C_{175}$ $C_{25}$ $25$ 25.a1.a1 $7$ 1.a1.a1
175.1.1e1 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e10 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e11 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e12 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e13 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e14 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e15 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e16 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e17 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e18 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e19 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e2 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e20 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e21 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e22 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e23 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e24 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e3 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
175.1.1e4 $1$ C \(\Q(\zeta_{5})\) 175.1.1e $C_{175}$ $C_{35}$ $35$ 35.a1.a1 $5$ 1.a1.a1
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