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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
256.26490.1a $1$ R \(\Q\) 256.26490.1a $D_4:(C_2\times C_{16})$ $C_1$ $1$ 1.a1 $256$ 1.a1
256.26490.1aa1 $1$ C \(\Q(\zeta_{8})\) 256.26490.1aa $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.e1 $32$ 1.a1
256.26490.1aa2 $1$ C \(\Q(\zeta_{8})\) 256.26490.1aa $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.e1 $32$ 1.a1
256.26490.1aa3 $1$ C \(\Q(\zeta_{8})\) 256.26490.1aa $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.e1 $32$ 1.a1
256.26490.1aa4 $1$ C \(\Q(\zeta_{8})\) 256.26490.1aa $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.e1 $32$ 1.a1
256.26490.1ab1 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ab $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ab2 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ab $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ab3 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ab $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ab4 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ab $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ac1 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ac $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.e1 $32$ 1.a1
256.26490.1ac2 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ac $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.e1 $32$ 1.a1
256.26490.1ac3 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ac $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.e1 $32$ 1.a1
256.26490.1ac4 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ac $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.e1 $32$ 1.a1
256.26490.1ad1 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ad $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ad2 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ad $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ad3 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ad $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ad4 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ad $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ae1 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ae $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ae2 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ae $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ae3 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ae $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1ae4 $1$ C \(\Q(\zeta_{8})\) 256.26490.1ae $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.g1 $32$ 1.a1
256.26490.1af1 $1$ C \(\Q(\zeta_{8})\) 256.26490.1af $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.h1 $32$ 1.a1
256.26490.1af2 $1$ C \(\Q(\zeta_{8})\) 256.26490.1af $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.h1 $32$ 1.a1
256.26490.1af3 $1$ C \(\Q(\zeta_{8})\) 256.26490.1af $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.h1 $32$ 1.a1
256.26490.1af4 $1$ C \(\Q(\zeta_{8})\) 256.26490.1af $D_4:(C_2\times C_{16})$ $C_8$ $8$ 8.h1 $32$ 1.a1
256.26490.1ag1 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ag $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ag2 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ag $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ag3 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ag $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ag4 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ag $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ag5 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ag $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ag6 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ag $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ag7 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ag $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ag8 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ag $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ah1 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ah $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ah2 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ah $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ah3 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ah $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ah4 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ah $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ah5 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ah $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ah6 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ah $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ah7 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ah $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ah8 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ah $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ai1 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ai $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ai2 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ai $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ai3 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ai $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ai4 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ai $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ai5 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ai $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ai6 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ai $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ai7 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ai $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1ai8 $1$ C \(\Q(\zeta_{16})\) 256.26490.1ai $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
256.26490.1aj1 $1$ C \(\Q(\zeta_{16})\) 256.26490.1aj $D_4:(C_2\times C_{16})$ $C_{16}$ $16$ 16.q1 $16$ 1.a1
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