Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 8.9155562688.9t26.a.a |
$8$ |
$ 2^{6} \cdot 523^{3}$ |
$2$ |
9.3.9155562688.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.16836267547.9t26.a.a |
$8$ |
$ 11^{3} \cdot 233^{3}$ |
$2$ |
9.3.16836267547.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.17256481947.18t157.a.a |
$8$ |
$ 3^{7} \cdot 53^{4}$ |
$2$ |
9.3.17256481947.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.17256481947.9t26.a.a |
$8$ |
$ 3^{7} \cdot 53^{4}$ |
$2$ |
9.3.17256481947.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.17964142659.9t26.a.a |
$8$ |
$ 3^{9} \cdot 97^{3}$ |
$2$ |
9.3.17964142659.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.36889110963.18t157.a.a |
$8$ |
$ 3^{9} \cdot 37^{4}$ |
$2$ |
9.3.36889110963.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.36889110963.9t26.a.a |
$8$ |
$ 3^{9} \cdot 37^{4}$ |
$2$ |
9.3.36889110963.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.45537538411.9t26.a.a |
$8$ |
$ 3571^{3}$ |
$1$ |
9.3.45537538411.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.59273381699.9t26.a.a |
$8$ |
$ 7^{3} \cdot 557^{3}$ |
$2$ |
9.3.59273381699.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.67292260083.9t26.a.a |
$8$ |
$ 3^{9} \cdot 43^{4}$ |
$2$ |
9.3.67292260083.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.69325227712.9t26.a.a |
$8$ |
$ 2^{6} \cdot 13^{3} \cdot 79^{3}$ |
$3$ |
9.3.69325227712.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.82556485632.9t26.a.a |
$8$ |
$ 2^{22} \cdot 3^{9}$ |
$2$ |
9.3.82556485632.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.83702510811.9t26.a.a |
$8$ |
$ 3^{7} \cdot 337^{3}$ |
$2$ |
9.3.83702510811.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.98673100992.9t26.a.a |
$8$ |
$ 2^{6} \cdot 3^{7} \cdot 89^{3}$ |
$3$ |
9.3.98673100992.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.110522894399.9t26.a.a |
$8$ |
$ 4799^{3}$ |
$1$ |
9.3.110522894399.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.114162766875.18t157.a.a |
$8$ |
$ 3^{7} \cdot 5^{4} \cdot 17^{4}$ |
$3$ |
9.3.114162766875.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.114162766875.9t26.a.a |
$8$ |
$ 3^{7} \cdot 5^{4} \cdot 17^{4}$ |
$3$ |
9.3.114162766875.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.127745014464.9t26.a.a |
$8$ |
$ 2^{6} \cdot 3^{7} \cdot 97^{3}$ |
$3$ |
9.3.127745014464.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.151803769808.9t26.a.a |
$8$ |
$ 2^{4} \cdot 29^{3} \cdot 73^{3}$ |
$3$ |
9.1.151803769808.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$0$ |
| 8.176004726784.9t26.a.a |
$8$ |
$ 2^{16} \cdot 139^{3}$ |
$2$ |
9.3.176004726784.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.210082347387.18t157.a.a |
$8$ |
$ 3^{15} \cdot 11^{4}$ |
$2$ |
9.3.210082347387.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.210082347387.9t26.a.a |
$8$ |
$ 3^{15} \cdot 11^{4}$ |
$2$ |
9.3.210082347387.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.224201671875.18t157.a.a |
$8$ |
$ 3^{15} \cdot 5^{6}$ |
$2$ |
9.3.224201671875.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.224201671875.9t26.a.a |
$8$ |
$ 3^{15} \cdot 5^{6}$ |
$2$ |
9.3.224201671875.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.275513205843.9t26.a.a |
$8$ |
$ 3^{9} \cdot 241^{3}$ |
$2$ |
9.3.275513205843.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.293534171136.9t26.a.a |
$8$ |
$ 2^{27} \cdot 3^{7}$ |
$2$ |
9.3.293534171136.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.295095094272.18t157.a.a |
$8$ |
$ 2^{10} \cdot 3^{9} \cdot 11^{4}$ |
$3$ |
9.3.295095094272.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.295095094272.9t26.a.a |
$8$ |
$ 2^{10} \cdot 3^{9} \cdot 11^{4}$ |
$3$ |
9.3.295095094272.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.314928000000.9t26.a.a |
$8$ |
$ 2^{10} \cdot 3^{9} \cdot 5^{6}$ |
$3$ |
9.3.314928000000.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.321137672192.9t26.a.a |
$8$ |
$ 2^{18} \cdot 107^{3}$ |
$2$ |
9.3.321137672192.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.331841002867.9t26.a.a |
$8$ |
$ 11^{4} \cdot 283^{3}$ |
$2$ |
9.3.331841002867.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.334110914019.9t26.a.a |
$8$ |
$ 3^{9} \cdot 257^{3}$ |
$2$ |
9.3.334110914019.5 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.352519065792.18t157.a.a |
$8$ |
$ 2^{6} \cdot 3^{9} \cdot 23^{4}$ |
$3$ |
9.3.352519065792.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.352519065792.9t26.a.a |
$8$ |
$ 2^{6} \cdot 3^{9} \cdot 23^{4}$ |
$3$ |
9.3.352519065792.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.359209479168.9t26.a.a |
$8$ |
$ 2^{10} \cdot 3^{4} \cdot 163^{3}$ |
$3$ |
9.3.359209479168.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.417942208512.9t26.a.a |
$8$ |
$ 2^{18} \cdot 3^{13}$ |
$2$ |
9.3.417942208512.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.420849623808.18t157.a.a |
$8$ |
$ 2^{8} \cdot 3^{9} \cdot 17^{4}$ |
$3$ |
9.3.420849623808.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.420849623808.9t26.a.a |
$8$ |
$ 2^{8} \cdot 3^{9} \cdot 17^{4}$ |
$3$ |
9.3.420849623808.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.475099770627.18t157.a.a |
$8$ |
$ 3^{9} \cdot 17^{6}$ |
$2$ |
9.3.475099770627.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.475099770627.9t26.a.a |
$8$ |
$ 3^{9} \cdot 17^{6}$ |
$2$ |
9.3.475099770627.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.605630340747.18t157.a.a |
$8$ |
$ 3^{11} \cdot 43^{4}$ |
$2$ |
9.3.67292260083.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.704166690816.9t26.a.a |
$8$ |
$ 2^{16} \cdot 3^{7} \cdot 17^{3}$ |
$3$ |
9.3.704166690816.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.737783038656.9t26.a.a |
$8$ |
$ 2^{6} \cdot 3^{6} \cdot 251^{3}$ |
$3$ |
9.3.737783038656.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.743008370688.18t157.a.a |
$8$ |
$ 2^{22} \cdot 3^{11}$ |
$2$ |
9.3.82556485632.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.806215680000.18t157.a.a |
$8$ |
$ 2^{16} \cdot 3^{9} \cdot 5^{4}$ |
$3$ |
9.3.806215680000.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.806215680000.9t26.a.a |
$8$ |
$ 2^{16} \cdot 3^{9} \cdot 5^{4}$ |
$3$ |
9.3.806215680000.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.888057908928.9t26.a.a |
$8$ |
$ 2^{6} \cdot 3^{9} \cdot 89^{3}$ |
$3$ |
9.3.888057908928.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.940369969152.18t157.a.a |
$8$ |
$ 2^{16} \cdot 3^{15}$ |
$2$ |
9.3.940369969152.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.940369969152.9t26.a.a |
$8$ |
$ 2^{16} \cdot 3^{15}$ |
$2$ |
9.3.940369969152.3 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.940369969152.9t26.b.a |
$8$ |
$ 2^{16} \cdot 3^{15}$ |
$2$ |
9.3.940369969152.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
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