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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1760.55.1a $1$ R \(\Q\) 1760.55.1a $(C_2\times C_{88}):C_{10}$ $C_1$ $1$ 1.a1.a1 $1760$ 1.a1.a1
1760.55.1b $1$ R \(\Q\) 1760.55.1b $(C_2\times C_{88}):C_{10}$ $C_2$ $2$ 2.c1.a1 $880$ 1.a1.a1
1760.55.1c $1$ R \(\Q\) 1760.55.1c $(C_2\times C_{88}):C_{10}$ $C_2$ $2$ 2.b1.a1 $880$ 1.a1.a1
1760.55.1d $1$ R \(\Q\) 1760.55.1d $(C_2\times C_{88}):C_{10}$ $C_2$ $2$ 2.a1.a1 $880$ 1.a1.a1
1760.55.1e1 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1e $(C_2\times C_{88}):C_{10}$ $C_4$ $4$ 4.b1.b1 $440$ 1.a1.a1
1760.55.1e2 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1e $(C_2\times C_{88}):C_{10}$ $C_4$ $4$ 4.b1.b1 $440$ 1.a1.a1
1760.55.1f1 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1f $(C_2\times C_{88}):C_{10}$ $C_4$ $4$ 4.b1.a1 $440$ 1.a1.a1
1760.55.1f2 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1f $(C_2\times C_{88}):C_{10}$ $C_4$ $4$ 4.b1.a1 $440$ 1.a1.a1
1760.55.1g1 $1$ C \(\Q(\zeta_{5})\) 1760.55.1g $(C_2\times C_{88}):C_{10}$ $C_5$ $5$ 5.a1.a1 $352$ 1.a1.a1
1760.55.1g2 $1$ C \(\Q(\zeta_{5})\) 1760.55.1g $(C_2\times C_{88}):C_{10}$ $C_5$ $5$ 5.a1.a1 $352$ 1.a1.a1
1760.55.1g3 $1$ C \(\Q(\zeta_{5})\) 1760.55.1g $(C_2\times C_{88}):C_{10}$ $C_5$ $5$ 5.a1.a1 $352$ 1.a1.a1
1760.55.1g4 $1$ C \(\Q(\zeta_{5})\) 1760.55.1g $(C_2\times C_{88}):C_{10}$ $C_5$ $5$ 5.a1.a1 $352$ 1.a1.a1
1760.55.1h1 $1$ C \(\Q(\zeta_{5})\) 1760.55.1h $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.c1.a1 $176$ 1.a1.a1
1760.55.1h2 $1$ C \(\Q(\zeta_{5})\) 1760.55.1h $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.c1.a1 $176$ 1.a1.a1
1760.55.1h3 $1$ C \(\Q(\zeta_{5})\) 1760.55.1h $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.c1.a1 $176$ 1.a1.a1
1760.55.1h4 $1$ C \(\Q(\zeta_{5})\) 1760.55.1h $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.c1.a1 $176$ 1.a1.a1
1760.55.1i1 $1$ C \(\Q(\zeta_{5})\) 1760.55.1i $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.b1.a1 $176$ 1.a1.a1
1760.55.1i2 $1$ C \(\Q(\zeta_{5})\) 1760.55.1i $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.b1.a1 $176$ 1.a1.a1
1760.55.1i3 $1$ C \(\Q(\zeta_{5})\) 1760.55.1i $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.b1.a1 $176$ 1.a1.a1
1760.55.1i4 $1$ C \(\Q(\zeta_{5})\) 1760.55.1i $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.b1.a1 $176$ 1.a1.a1
1760.55.1j1 $1$ C \(\Q(\zeta_{5})\) 1760.55.1j $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.a1.a1 $176$ 1.a1.a1
1760.55.1j2 $1$ C \(\Q(\zeta_{5})\) 1760.55.1j $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.a1.a1 $176$ 1.a1.a1
1760.55.1j3 $1$ C \(\Q(\zeta_{5})\) 1760.55.1j $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.a1.a1 $176$ 1.a1.a1
1760.55.1j4 $1$ C \(\Q(\zeta_{5})\) 1760.55.1j $(C_2\times C_{88}):C_{10}$ $C_{10}$ $10$ 10.a1.a1 $176$ 1.a1.a1
1760.55.1k1 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1k $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.b1 $88$ 1.a1.a1
1760.55.1k2 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1k $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.b1 $88$ 1.a1.a1
1760.55.1k3 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1k $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.b1 $88$ 1.a1.a1
1760.55.1k4 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1k $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.b1 $88$ 1.a1.a1
1760.55.1k5 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1k $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.b1 $88$ 1.a1.a1
1760.55.1k6 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1k $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.b1 $88$ 1.a1.a1
1760.55.1k7 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1k $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.b1 $88$ 1.a1.a1
1760.55.1k8 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1k $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.b1 $88$ 1.a1.a1
1760.55.1l1 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1l $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.a1 $88$ 1.a1.a1
1760.55.1l2 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1l $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.a1 $88$ 1.a1.a1
1760.55.1l3 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1l $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.a1 $88$ 1.a1.a1
1760.55.1l4 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1l $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.a1 $88$ 1.a1.a1
1760.55.1l5 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1l $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.a1 $88$ 1.a1.a1
1760.55.1l6 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1l $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.a1 $88$ 1.a1.a1
1760.55.1l7 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1l $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.a1 $88$ 1.a1.a1
1760.55.1l8 $1$ C \(\Q(\sqrt{-1}) \) 1760.55.1l $(C_2\times C_{88}):C_{10}$ $C_{20}$ $20$ 20.b1.a1 $88$ 1.a1.a1
1760.55.2a $2$ R \(\Q\) 1760.55.2a $(C_2\times C_{88}):C_{10}$ $D_4$ $8$ 8.c1.a1 $220$ 4.a1.a1
1760.55.2b $2$ R \(\Q\) 1760.55.2b $(C_2\times C_{88}):C_{10}$ $D_4$ $8$ 8.a1.a1 $220$ 4.a1.a1
1760.55.2c1 $2$ R \(\Q(\sqrt{2}) \) 1760.55.2c $(C_2\times C_{88}):C_{10}$ $D_8$ $16$ 16.c1.a1 $110$ 8.a1.a1
1760.55.2c2 $2$ R \(\Q(\sqrt{2}) \) 1760.55.2c $(C_2\times C_{88}):C_{10}$ $D_8$ $16$ 16.c1.a1 $110$ 8.a1.a1
1760.55.2d1 $2$ C \(\Q(\sqrt{-2}) \) 1760.55.2d $(C_2\times C_{88}):C_{10}$ $\SD_{16}$ $16$ 16.a1.a1 $110$ 8.a1.a1
1760.55.2d2 $2$ C \(\Q(\sqrt{-2}) \) 1760.55.2d $(C_2\times C_{88}):C_{10}$ $\SD_{16}$ $16$ 16.a1.a1 $110$ 8.a1.a1
1760.55.2e1 $2$ C \(\Q(\zeta_{5})\) 1760.55.2e $(C_2\times C_{88}):C_{10}$ $C_5\times D_4$ $40$ 40.c1.a1 $44$ 4.a1.a1
1760.55.2e2 $2$ C \(\Q(\zeta_{5})\) 1760.55.2e $(C_2\times C_{88}):C_{10}$ $C_5\times D_4$ $40$ 40.c1.a1 $44$ 4.a1.a1
1760.55.2e3 $2$ C \(\Q(\zeta_{5})\) 1760.55.2e $(C_2\times C_{88}):C_{10}$ $C_5\times D_4$ $40$ 40.c1.a1 $44$ 4.a1.a1
1760.55.2e4 $2$ C \(\Q(\zeta_{5})\) 1760.55.2e $(C_2\times C_{88}):C_{10}$ $C_5\times D_4$ $40$ 40.c1.a1 $44$ 4.a1.a1
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