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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1984.320.1a $1$ R \(\Q\) 1984.320.1a $(C_2\times C_{248}):C_4$ $C_1$ $1$ 1.a1.a1 $1984$ 1.a1.a1
1984.320.1b $1$ R \(\Q\) 1984.320.1b $(C_2\times C_{248}):C_4$ $C_2$ $2$ 2.c1.a1 $992$ 1.a1.a1
1984.320.1c $1$ R \(\Q\) 1984.320.1c $(C_2\times C_{248}):C_4$ $C_2$ $2$ 2.b1.a1 $992$ 1.a1.a1
1984.320.1d $1$ R \(\Q\) 1984.320.1d $(C_2\times C_{248}):C_4$ $C_2$ $2$ 2.a1.a1 $992$ 1.a1.a1
1984.320.1e1 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1e $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.d1.b1 $496$ 1.a1.a1
1984.320.1e2 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1e $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.d1.b1 $496$ 1.a1.a1
1984.320.1f1 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1f $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.d1.a1 $496$ 1.a1.a1
1984.320.1f2 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1f $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.d1.a1 $496$ 1.a1.a1
1984.320.1g1 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1g $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.c1.b1 $496$ 1.a1.a1
1984.320.1g2 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1g $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.c1.b1 $496$ 1.a1.a1
1984.320.1h1 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1h $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.c1.a1 $496$ 1.a1.a1
1984.320.1h2 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1h $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.c1.a1 $496$ 1.a1.a1
1984.320.1i1 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1i $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.b1.b1 $496$ 1.a1.a1
1984.320.1i2 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1i $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.b1.b1 $496$ 1.a1.a1
1984.320.1j1 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1j $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.b1.a1 $496$ 1.a1.a1
1984.320.1j2 $1$ C \(\Q(\sqrt{-1}) \) 1984.320.1j $(C_2\times C_{248}):C_4$ $C_4$ $4$ 4.b1.a1 $496$ 1.a1.a1
1984.320.2a $2$ R \(\Q\) 1984.320.2a $(C_2\times C_{248}):C_4$ $D_4$ $8$ 8.f1.a1 $248$ 4.a1.a1
1984.320.2b $2$ R \(\Q\) 1984.320.2b $(C_2\times C_{248}):C_4$ $D_4$ $8$ 8.e1.a1 $248$ 4.a1.a1
1984.320.2c $2$ R \(\Q\) 1984.320.2c $(C_2\times C_{248}):C_4$ $D_4$ $8$ 8.d1.a1 $248$ 4.a1.a1
1984.320.2d $2$ S \(\Q\) 1984.320.2d $(C_2\times C_{248}):C_4$ $Q_8$ $8$ 8.g1.a1 $248$ 4.a1.a1
1984.320.2e1 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e10 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e11 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e12 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e13 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e14 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e15 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e2 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e3 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e4 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e5 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e6 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e7 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e8 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2e9 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2e $(C_2\times C_{248}):C_4$ $D_{31}$ $62$ 62.a1.a1 $32$ 62.a1.a1
1984.320.2f1 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f10 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f11 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f12 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f13 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f14 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f15 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f2 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f3 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f4 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f5 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f6 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f7 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f8 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
1984.320.2f9 $2$ R \(\Q(\zeta_{31})^+\) 1984.320.2f $(C_2\times C_{248}):C_4$ $D_{62}$ $124$ 124.a1.a1 $16$ 62.a1.a1
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