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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
448.116.1a $1$ R \(\Q\) 448.116.1a $(C_7\times \OD_{16}):C_4$ $C_1$ $1$ 1.a1.a1 $448$ 1.a1.a1
448.116.1b $1$ R \(\Q\) 448.116.1b $(C_7\times \OD_{16}):C_4$ $C_2$ $2$ 2.c1.a1 $224$ 1.a1.a1
448.116.1c $1$ R \(\Q\) 448.116.1c $(C_7\times \OD_{16}):C_4$ $C_2$ $2$ 2.b1.a1 $224$ 1.a1.a1
448.116.1d $1$ R \(\Q\) 448.116.1d $(C_7\times \OD_{16}):C_4$ $C_2$ $2$ 2.a1.a1 $224$ 1.a1.a1
448.116.1e1 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1e $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.d1.a1 $112$ 1.a1.a1
448.116.1e2 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1e $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.d1.a1 $112$ 1.a1.a1
448.116.1f1 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1f $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.d1.b1 $112$ 1.a1.a1
448.116.1f2 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1f $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.d1.b1 $112$ 1.a1.a1
448.116.1g1 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1g $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.c1.b1 $112$ 1.a1.a1
448.116.1g2 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1g $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.c1.b1 $112$ 1.a1.a1
448.116.1h1 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1h $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.c1.a1 $112$ 1.a1.a1
448.116.1h2 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1h $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.c1.a1 $112$ 1.a1.a1
448.116.1i1 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1i $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.b1.a1 $112$ 1.a1.a1
448.116.1i2 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1i $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.b1.a1 $112$ 1.a1.a1
448.116.1j1 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1j $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.b1.b1 $112$ 1.a1.a1
448.116.1j2 $1$ C \(\Q(\sqrt{-1}) \) 448.116.1j $(C_7\times \OD_{16}):C_4$ $C_4$ $4$ 4.b1.b1 $112$ 1.a1.a1
448.116.2a $2$ R \(\Q\) 448.116.2a $(C_7\times \OD_{16}):C_4$ $D_4$ $8$ 8.b1.a1 $56$ 4.a1.a1
448.116.2b $2$ R \(\Q\) 448.116.2b $(C_7\times \OD_{16}):C_4$ $D_4$ $8$ 8.g1.a1 $56$ 4.a1.a1
448.116.2c $2$ R \(\Q\) 448.116.2c $(C_7\times \OD_{16}):C_4$ $D_4$ $8$ 8.f1.a1 $56$ 4.a1.a1
448.116.2d $2$ S \(\Q\) 448.116.2d $(C_7\times \OD_{16}):C_4$ $Q_8$ $8$ 8.c1.a1 $56$ 4.a1.a1
448.116.2e1 $2$ R \(\Q(\zeta_{7})^+\) 448.116.2e $(C_7\times \OD_{16}):C_4$ $D_7$ $14$ 14.a1.a1 $32$ 14.a1.a1
448.116.2e2 $2$ R \(\Q(\zeta_{7})^+\) 448.116.2e $(C_7\times \OD_{16}):C_4$ $D_7$ $14$ 14.a1.a1 $32$ 14.a1.a1
448.116.2e3 $2$ R \(\Q(\zeta_{7})^+\) 448.116.2e $(C_7\times \OD_{16}):C_4$ $D_7$ $14$ 14.a1.a1 $32$ 14.a1.a1
448.116.2f1 $2$ R \(\Q(\zeta_{7})^+\) 448.116.2f $(C_7\times \OD_{16}):C_4$ $D_{14}$ $28$ 28.a1.a1 $16$ 14.a1.a1
448.116.2f2 $2$ R \(\Q(\zeta_{7})^+\) 448.116.2f $(C_7\times \OD_{16}):C_4$ $D_{14}$ $28$ 28.a1.a1 $16$ 14.a1.a1
448.116.2f3 $2$ R \(\Q(\zeta_{7})^+\) 448.116.2f $(C_7\times \OD_{16}):C_4$ $D_{14}$ $28$ 28.a1.a1 $16$ 14.a1.a1
448.116.2g1 $2$ S \(\Q(\zeta_{7})^+\) 448.116.2g $(C_7\times \OD_{16}):C_4$ $C_7:C_4$ $28$ 28.b1.a1 $16$ 14.a1.a1
448.116.2g2 $2$ S \(\Q(\zeta_{7})^+\) 448.116.2g $(C_7\times \OD_{16}):C_4$ $C_7:C_4$ $28$ 28.b1.a1 $16$ 14.a1.a1
448.116.2g3 $2$ S \(\Q(\zeta_{7})^+\) 448.116.2g $(C_7\times \OD_{16}):C_4$ $C_7:C_4$ $28$ 28.b1.a1 $16$ 14.a1.a1
448.116.2h1 $2$ S \(\Q(\zeta_{7})^+\) 448.116.2h $(C_7\times \OD_{16}):C_4$ $C_7:C_4$ $28$ 28.b1.b1 $16$ 14.a1.a1
448.116.2h2 $2$ S \(\Q(\zeta_{7})^+\) 448.116.2h $(C_7\times \OD_{16}):C_4$ $C_7:C_4$ $28$ 28.b1.b1 $16$ 14.a1.a1
448.116.2h3 $2$ S \(\Q(\zeta_{7})^+\) 448.116.2h $(C_7\times \OD_{16}):C_4$ $C_7:C_4$ $28$ 28.b1.b1 $16$ 14.a1.a1
448.116.2i1 $2$ C \(\Q(\zeta_{7})\) 448.116.2i $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.b1.a1 $8$ 28.a1.a1
448.116.2i2 $2$ C \(\Q(\zeta_{7})\) 448.116.2i $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.b1.a1 $8$ 28.a1.a1
448.116.2i3 $2$ C \(\Q(\zeta_{7})\) 448.116.2i $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.b1.a1 $8$ 28.a1.a1
448.116.2i4 $2$ C \(\Q(\zeta_{7})\) 448.116.2i $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.b1.a1 $8$ 28.a1.a1
448.116.2i5 $2$ C \(\Q(\zeta_{7})\) 448.116.2i $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.b1.a1 $8$ 28.a1.a1
448.116.2i6 $2$ C \(\Q(\zeta_{7})\) 448.116.2i $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.b1.a1 $8$ 28.a1.a1
448.116.2j1 $2$ C \(\Q(\zeta_{7})\) 448.116.2j $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.g1.a1 $8$ 28.a1.a1
448.116.2j2 $2$ C \(\Q(\zeta_{7})\) 448.116.2j $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.g1.a1 $8$ 28.a1.a1
448.116.2j3 $2$ C \(\Q(\zeta_{7})\) 448.116.2j $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.g1.a1 $8$ 28.a1.a1
448.116.2j4 $2$ C \(\Q(\zeta_{7})\) 448.116.2j $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.g1.a1 $8$ 28.a1.a1
448.116.2j5 $2$ C \(\Q(\zeta_{7})\) 448.116.2j $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.g1.a1 $8$ 28.a1.a1
448.116.2j6 $2$ C \(\Q(\zeta_{7})\) 448.116.2j $(C_7\times \OD_{16}):C_4$ $C_7:D_4$ $56$ 56.g1.a1 $8$ 28.a1.a1
448.116.2k1 $2$ C 6.0.153664.1 448.116.2k $(C_7\times \OD_{16}):C_4$ $C_4\times D_7$ $56$ 56.d1.a1 $8$ 14.a1.a1
448.116.2k2 $2$ C 6.0.153664.1 448.116.2k $(C_7\times \OD_{16}):C_4$ $C_4\times D_7$ $56$ 56.d1.a1 $8$ 14.a1.a1
448.116.2k3 $2$ C 6.0.153664.1 448.116.2k $(C_7\times \OD_{16}):C_4$ $C_4\times D_7$ $56$ 56.d1.a1 $8$ 14.a1.a1
448.116.2k4 $2$ C 6.0.153664.1 448.116.2k $(C_7\times \OD_{16}):C_4$ $C_4\times D_7$ $56$ 56.d1.a1 $8$ 14.a1.a1
448.116.2k5 $2$ C 6.0.153664.1 448.116.2k $(C_7\times \OD_{16}):C_4$ $C_4\times D_7$ $56$ 56.d1.a1 $8$ 14.a1.a1
448.116.2k6 $2$ C 6.0.153664.1 448.116.2k $(C_7\times \OD_{16}):C_4$ $C_4\times D_7$ $56$ 56.d1.a1 $8$ 14.a1.a1
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