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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1120.833.1a $1$ R \(\Q\) 1120.833.1a $D_{70}:Q_8$ $C_1$ $1$ 1.a1.a1 $1120$ 1.a1.a1
1120.833.1b $1$ R \(\Q\) 1120.833.1b $D_{70}:Q_8$ $C_2$ $2$ 2.e1.b1 $560$ 1.a1.a1
1120.833.1c $1$ R \(\Q\) 1120.833.1c $D_{70}:Q_8$ $C_2$ $2$ 2.e1.a1 $560$ 1.a1.a1
1120.833.1d $1$ R \(\Q\) 1120.833.1d $D_{70}:Q_8$ $C_2$ $2$ 2.d1.a1 $560$ 1.a1.a1
1120.833.1e $1$ R \(\Q\) 1120.833.1e $D_{70}:Q_8$ $C_2$ $2$ 2.c1.a1 $560$ 1.a1.a1
1120.833.1f $1$ R \(\Q\) 1120.833.1f $D_{70}:Q_8$ $C_2$ $2$ 2.b1.b1 $560$ 1.a1.a1
1120.833.1g $1$ R \(\Q\) 1120.833.1g $D_{70}:Q_8$ $C_2$ $2$ 2.b1.a1 $560$ 1.a1.a1
1120.833.1h $1$ R \(\Q\) 1120.833.1h $D_{70}:Q_8$ $C_2$ $2$ 2.a1.a1 $560$ 1.a1.a1
1120.833.2a $2$ R \(\Q\) 1120.833.2a $D_{70}:Q_8$ $D_4$ $8$ 8.c1.b1 $140$ 4.b1.a1
1120.833.2b $2$ R \(\Q\) 1120.833.2b $D_{70}:Q_8$ $D_4$ $8$ 8.c1.a1 $140$ 4.b1.a1
1120.833.2c $2$ S \(\Q\) 1120.833.2c $D_{70}:Q_8$ $Q_8$ $8$ 8.b1.b1 $140$ 4.a1.a1
1120.833.2d $2$ S \(\Q\) 1120.833.2d $D_{70}:Q_8$ $Q_8$ $8$ 8.b1.a1 $140$ 4.a1.a1
1120.833.2e1 $2$ R \(\Q(\sqrt{5}) \) 1120.833.2e $D_{70}:Q_8$ $D_5$ $10$ 10.a1.a1 $112$ 10.a1.a1
1120.833.2e2 $2$ R \(\Q(\sqrt{5}) \) 1120.833.2e $D_{70}:Q_8$ $D_5$ $10$ 10.a1.a1 $112$ 10.a1.a1
1120.833.2f1 $2$ C \(\Q(\sqrt{-1}) \) 1120.833.2f $D_{70}:Q_8$ $D_4:C_2$ $16$ 16.c1.a1 $70$ 4.d1.a1
1120.833.2f2 $2$ C \(\Q(\sqrt{-1}) \) 1120.833.2f $D_{70}:Q_8$ $D_4:C_2$ $16$ 16.c1.a1 $70$ 4.d1.a1
1120.833.2g1 $2$ R \(\Q(\sqrt{5}) \) 1120.833.2g $D_{70}:Q_8$ $D_{10}$ $20$ 20.b1.b1 $56$ 10.a1.a1
1120.833.2g2 $2$ R \(\Q(\sqrt{5}) \) 1120.833.2g $D_{70}:Q_8$ $D_{10}$ $20$ 20.b1.b1 $56$ 10.a1.a1
1120.833.2h1 $2$ R \(\Q(\sqrt{5}) \) 1120.833.2h $D_{70}:Q_8$ $D_{10}$ $20$ 20.b1.a1 $56$ 10.a1.a1
1120.833.2h2 $2$ R \(\Q(\sqrt{5}) \) 1120.833.2h $D_{70}:Q_8$ $D_{10}$ $20$ 20.b1.a1 $56$ 10.a1.a1
1120.833.2i1 $2$ R \(\Q(\sqrt{5}) \) 1120.833.2i $D_{70}:Q_8$ $D_{10}$ $20$ 20.a1.a1 $56$ 10.a1.a1
1120.833.2i2 $2$ R \(\Q(\sqrt{5}) \) 1120.833.2i $D_{70}:Q_8$ $D_{10}$ $20$ 20.a1.a1 $56$ 10.a1.a1
1120.833.2j1 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2j $D_{70}:Q_8$ $D_7$ $14$ 14.a1.a1 $80$ 14.a1.a1
1120.833.2j2 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2j $D_{70}:Q_8$ $D_7$ $14$ 14.a1.a1 $80$ 14.a1.a1
1120.833.2j3 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2j $D_{70}:Q_8$ $D_7$ $14$ 14.a1.a1 $80$ 14.a1.a1
1120.833.2k1 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2k $D_{70}:Q_8$ $D_{14}$ $28$ 28.b1.b1 $40$ 14.a1.a1
1120.833.2k2 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2k $D_{70}:Q_8$ $D_{14}$ $28$ 28.b1.b1 $40$ 14.a1.a1
1120.833.2k3 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2k $D_{70}:Q_8$ $D_{14}$ $28$ 28.b1.b1 $40$ 14.a1.a1
1120.833.2l1 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2l $D_{70}:Q_8$ $D_{14}$ $28$ 28.b1.a1 $40$ 14.a1.a1
1120.833.2l2 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2l $D_{70}:Q_8$ $D_{14}$ $28$ 28.b1.a1 $40$ 14.a1.a1
1120.833.2l3 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2l $D_{70}:Q_8$ $D_{14}$ $28$ 28.b1.a1 $40$ 14.a1.a1
1120.833.2m1 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2m $D_{70}:Q_8$ $D_{14}$ $28$ 28.a1.a1 $40$ 14.a1.a1
1120.833.2m2 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2m $D_{70}:Q_8$ $D_{14}$ $28$ 28.a1.a1 $40$ 14.a1.a1
1120.833.2m3 $2$ R \(\Q(\zeta_{7})^+\) 1120.833.2m $D_{70}:Q_8$ $D_{14}$ $28$ 28.a1.a1 $40$ 14.a1.a1
1120.833.2n1 $2$ R \(\Q(\zeta_{20})^+\) 1120.833.2n $D_{70}:Q_8$ $D_{20}$ $40$ 40.b1.b1 $28$ 20.a1.a1
1120.833.2n2 $2$ R \(\Q(\zeta_{20})^+\) 1120.833.2n $D_{70}:Q_8$ $D_{20}$ $40$ 40.b1.b1 $28$ 20.a1.a1
1120.833.2n3 $2$ R \(\Q(\zeta_{20})^+\) 1120.833.2n $D_{70}:Q_8$ $D_{20}$ $40$ 40.b1.b1 $28$ 20.a1.a1
1120.833.2n4 $2$ R \(\Q(\zeta_{20})^+\) 1120.833.2n $D_{70}:Q_8$ $D_{20}$ $40$ 40.b1.b1 $28$ 20.a1.a1
1120.833.2o1 $2$ R \(\Q(\zeta_{20})^+\) 1120.833.2o $D_{70}:Q_8$ $D_{20}$ $40$ 40.b1.a1 $28$ 20.a1.a1
1120.833.2o2 $2$ R \(\Q(\zeta_{20})^+\) 1120.833.2o $D_{70}:Q_8$ $D_{20}$ $40$ 40.b1.a1 $28$ 20.a1.a1
1120.833.2o3 $2$ R \(\Q(\zeta_{20})^+\) 1120.833.2o $D_{70}:Q_8$ $D_{20}$ $40$ 40.b1.a1 $28$ 20.a1.a1
1120.833.2o4 $2$ R \(\Q(\zeta_{20})^+\) 1120.833.2o $D_{70}:Q_8$ $D_{20}$ $40$ 40.b1.a1 $28$ 20.a1.a1
1120.833.2p1 $2$ R \(\Q(\zeta_{28})^+\) 1120.833.2p $D_{70}:Q_8$ $D_{28}$ $56$ 56.b1.b1 $20$ 28.a1.a1
1120.833.2p2 $2$ R \(\Q(\zeta_{28})^+\) 1120.833.2p $D_{70}:Q_8$ $D_{28}$ $56$ 56.b1.b1 $20$ 28.a1.a1
1120.833.2p3 $2$ R \(\Q(\zeta_{28})^+\) 1120.833.2p $D_{70}:Q_8$ $D_{28}$ $56$ 56.b1.b1 $20$ 28.a1.a1
1120.833.2p4 $2$ R \(\Q(\zeta_{28})^+\) 1120.833.2p $D_{70}:Q_8$ $D_{28}$ $56$ 56.b1.b1 $20$ 28.a1.a1
1120.833.2p5 $2$ R \(\Q(\zeta_{28})^+\) 1120.833.2p $D_{70}:Q_8$ $D_{28}$ $56$ 56.b1.b1 $20$ 28.a1.a1
1120.833.2p6 $2$ R \(\Q(\zeta_{28})^+\) 1120.833.2p $D_{70}:Q_8$ $D_{28}$ $56$ 56.b1.b1 $20$ 28.a1.a1
1120.833.2q1 $2$ R \(\Q(\zeta_{28})^+\) 1120.833.2q $D_{70}:Q_8$ $D_{28}$ $56$ 56.b1.a1 $20$ 28.a1.a1
1120.833.2q2 $2$ R \(\Q(\zeta_{28})^+\) 1120.833.2q $D_{70}:Q_8$ $D_{28}$ $56$ 56.b1.a1 $20$ 28.a1.a1
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