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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1536.10766179.1a $1$ R \(\Q\) 1536.10766179.1a $(C_2\times C_{16}).D_{24}$ $C_1$ $1$ 1.a1.a1 $1536$ 1.a1.a1
1536.10766179.1b $1$ R \(\Q\) 1536.10766179.1b $(C_2\times C_{16}).D_{24}$ $C_2$ $2$ 2.g1.a1 $768$ 1.a1.a1
1536.10766179.1c $1$ R \(\Q\) 1536.10766179.1c $(C_2\times C_{16}).D_{24}$ $C_2$ $2$ 2.f1.a1 $768$ 1.a1.a1
1536.10766179.1d $1$ R \(\Q\) 1536.10766179.1d $(C_2\times C_{16}).D_{24}$ $C_2$ $2$ 2.e1.a1 $768$ 1.a1.a1
1536.10766179.1e $1$ R \(\Q\) 1536.10766179.1e $(C_2\times C_{16}).D_{24}$ $C_2$ $2$ 2.d1.a1 $768$ 1.a1.a1
1536.10766179.1f $1$ R \(\Q\) 1536.10766179.1f $(C_2\times C_{16}).D_{24}$ $C_2$ $2$ 2.c1.a1 $768$ 1.a1.a1
1536.10766179.1g $1$ R \(\Q\) 1536.10766179.1g $(C_2\times C_{16}).D_{24}$ $C_2$ $2$ 2.b1.a1 $768$ 1.a1.a1
1536.10766179.1h $1$ R \(\Q\) 1536.10766179.1h $(C_2\times C_{16}).D_{24}$ $C_2$ $2$ 2.a1.a1 $768$ 1.a1.a1
1536.10766179.1i1 $1$ C \(\Q(\sqrt{-1}) \) 1536.10766179.1i $(C_2\times C_{16}).D_{24}$ $C_4$ $4$ 4.k1.a1 $384$ 1.a1.a1
1536.10766179.1i2 $1$ C \(\Q(\sqrt{-1}) \) 1536.10766179.1i $(C_2\times C_{16}).D_{24}$ $C_4$ $4$ 4.k1.a1 $384$ 1.a1.a1
1536.10766179.1j1 $1$ C \(\Q(\sqrt{-1}) \) 1536.10766179.1j $(C_2\times C_{16}).D_{24}$ $C_4$ $4$ 4.j1.a1 $384$ 1.a1.a1
1536.10766179.1j2 $1$ C \(\Q(\sqrt{-1}) \) 1536.10766179.1j $(C_2\times C_{16}).D_{24}$ $C_4$ $4$ 4.j1.a1 $384$ 1.a1.a1
1536.10766179.1k1 $1$ C \(\Q(\sqrt{-1}) \) 1536.10766179.1k $(C_2\times C_{16}).D_{24}$ $C_4$ $4$ 4.c1.a1 $384$ 1.a1.a1
1536.10766179.1k2 $1$ C \(\Q(\sqrt{-1}) \) 1536.10766179.1k $(C_2\times C_{16}).D_{24}$ $C_4$ $4$ 4.c1.a1 $384$ 1.a1.a1
1536.10766179.1l1 $1$ C \(\Q(\sqrt{-1}) \) 1536.10766179.1l $(C_2\times C_{16}).D_{24}$ $C_4$ $4$ 4.b1.a1 $384$ 1.a1.a1
1536.10766179.1l2 $1$ C \(\Q(\sqrt{-1}) \) 1536.10766179.1l $(C_2\times C_{16}).D_{24}$ $C_4$ $4$ 4.b1.a1 $384$ 1.a1.a1
1536.10766179.1m1 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1m $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.k1.b1 $192$ 1.a1.a1
1536.10766179.1m2 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1m $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.k1.b1 $192$ 1.a1.a1
1536.10766179.1m3 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1m $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.k1.b1 $192$ 1.a1.a1
1536.10766179.1m4 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1m $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.k1.b1 $192$ 1.a1.a1
1536.10766179.1n1 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1n $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.k1.a1 $192$ 1.a1.a1
1536.10766179.1n2 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1n $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.k1.a1 $192$ 1.a1.a1
1536.10766179.1n3 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1n $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.k1.a1 $192$ 1.a1.a1
1536.10766179.1n4 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1n $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.k1.a1 $192$ 1.a1.a1
1536.10766179.1o1 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1o $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.j1.b1 $192$ 1.a1.a1
1536.10766179.1o2 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1o $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.j1.b1 $192$ 1.a1.a1
1536.10766179.1o3 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1o $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.j1.b1 $192$ 1.a1.a1
1536.10766179.1o4 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1o $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.j1.b1 $192$ 1.a1.a1
1536.10766179.1p1 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1p $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.j1.a1 $192$ 1.a1.a1
1536.10766179.1p2 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1p $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.j1.a1 $192$ 1.a1.a1
1536.10766179.1p3 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1p $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.j1.a1 $192$ 1.a1.a1
1536.10766179.1p4 $1$ C \(\Q(\zeta_{8})\) 1536.10766179.1p $(C_2\times C_{16}).D_{24}$ $C_8$ $8$ 8.j1.a1 $192$ 1.a1.a1
1536.10766179.2a $2$ R \(\Q\) 1536.10766179.2a $(C_2\times C_{16}).D_{24}$ $S_3$ $6$ 6.a1.a1 $256$ 6.a1.a1
1536.10766179.2aa1 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2aa $(C_2\times C_{16}).D_{24}$ $D_8:C_2$ $32$ 32.i1.a1 $48$ 8.e1.a1
1536.10766179.2aa2 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2aa $(C_2\times C_{16}).D_{24}$ $D_8:C_2$ $32$ 32.i1.a1 $48$ 8.e1.a1
1536.10766179.2aa3 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2aa $(C_2\times C_{16}).D_{24}$ $D_8:C_2$ $32$ 32.i1.a1 $48$ 8.e1.a1
1536.10766179.2aa4 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2aa $(C_2\times C_{16}).D_{24}$ $D_8:C_2$ $32$ 32.i1.a1 $48$ 8.e1.a1
1536.10766179.2ab1 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ab $(C_2\times C_{16}).D_{24}$ $D_8:C_2$ $32$ 32.c1.a1 $48$ 8.d1.a1
1536.10766179.2ab2 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ab $(C_2\times C_{16}).D_{24}$ $D_8:C_2$ $32$ 32.c1.a1 $48$ 8.d1.a1
1536.10766179.2ab3 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ab $(C_2\times C_{16}).D_{24}$ $D_8:C_2$ $32$ 32.c1.a1 $48$ 8.d1.a1
1536.10766179.2ab4 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ab $(C_2\times C_{16}).D_{24}$ $D_8:C_2$ $32$ 32.c1.a1 $48$ 8.d1.a1
1536.10766179.2ac1 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ac $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.f1.a1 $24$ 8.e1.a1
1536.10766179.2ac2 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ac $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.f1.a1 $24$ 8.e1.a1
1536.10766179.2ac3 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ac $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.f1.a1 $24$ 8.e1.a1
1536.10766179.2ac4 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ac $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.f1.a1 $24$ 8.e1.a1
1536.10766179.2ad1 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ad $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.f1.a1 $24$ 8.e1.a1
1536.10766179.2ad2 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ad $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.f1.a1 $24$ 8.e1.a1
1536.10766179.2ad3 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ad $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.f1.a1 $24$ 8.e1.a1
1536.10766179.2ad4 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ad $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.f1.a1 $24$ 8.e1.a1
1536.10766179.2ae1 $2$ C \(\Q(\zeta_{8})\) 1536.10766179.2ae $(C_2\times C_{16}).D_{24}$ $D_8:C_4$ $64$ 64.a1.a1 $24$ 8.d1.a1
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