Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 8.89526025681.9t23.a.a |
$8$ |
$ 547^{4}$ |
$1$ |
9.1.89526025681.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.817583065209.9t23.a.a |
$8$ |
$ 3^{10} \cdot 61^{4}$ |
$2$ |
9.1.817583065209.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.949470950464.9t23.a.a |
$8$ |
$ 2^{6} \cdot 349^{4}$ |
$2$ |
9.1.949470950464.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.517...749.24t569.a.a 8.517...749.24t569.a.b |
$8$ |
$ 349^{5}$ |
$1$ |
9.1.1806976738085401.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.986...757.24t569.a.a 8.986...757.24t569.a.b |
$8$ |
$ 397^{5}$ |
$1$ |
9.1.3915101633817529.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.719...875.24t569.a.a 8.719...875.24t569.a.b |
$8$ |
$ 5^{4} \cdot 163^{5}$ |
$2$ |
9.1.11722105986255625.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.120...904.24t569.a.a 8.120...904.24t569.a.b |
$8$ |
$ 2^{22} \cdot 31^{5}$ |
$2$ |
9.1.3722460239233024.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.120...904.24t569.b.a 8.120...904.24t569.b.b |
$8$ |
$ 2^{22} \cdot 31^{5}$ |
$2$ |
9.1.3722460239233024.2 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.120...904.24t569.c.a 8.120...904.24t569.c.b |
$8$ |
$ 2^{22} \cdot 31^{5}$ |
$2$ |
9.1.3722460239233024.3 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.120...904.24t569.d.a 8.120...904.24t569.d.b |
$8$ |
$ 2^{22} \cdot 31^{5}$ |
$2$ |
9.1.3722460239233024.4 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.122...877.24t569.a.a 8.122...877.24t569.a.b |
$8$ |
$ 11^{6} \cdot 37^{5}$ |
$2$ |
9.1.4545340842854449.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.132...717.24t569.a.a 8.132...717.24t569.a.b |
$8$ |
$ 3^{4} \cdot 277^{5}$ |
$2$ |
9.1.36590103105447609.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.144...399.24t569.a.a 8.144...399.24t569.a.b |
$8$ |
$ 7^{5} \cdot 97^{5}$ |
$2$ |
9.1.97998323407891921.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.144...399.24t569.b.a 8.144...399.24t569.b.b |
$8$ |
$ 7^{5} \cdot 97^{5}$ |
$2$ |
9.1.97998323407891921.2 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.179...549.24t569.a.a 8.179...549.24t569.a.b |
$8$ |
$ 709^{5}$ |
$1$ |
9.1.127021550911887241.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.243...857.24t569.a.a 8.243...857.24t569.a.b |
$8$ |
$ 7^{6} \cdot 73^{5}$ |
$2$ |
9.1.17804320388674561.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.260...523.24t569.a.a 8.260...523.24t569.a.b |
$8$ |
$ 11^{6} \cdot 43^{5}$ |
$2$ |
9.1.11198680244449489.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.331...936.24t569.a.a 8.331...936.24t569.a.b |
$8$ |
$ 2^{6} \cdot 349^{5}$ |
$2$ |
9.1.115646511237465664.2 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.331...936.24t569.b.a 8.331...936.24t569.b.b |
$8$ |
$ 2^{6} \cdot 349^{5}$ |
$2$ |
9.1.115646511237465664.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.417...192.24t569.a.a 8.417...192.24t569.a.b |
$8$ |
$ 2^{8} \cdot 277^{5}$ |
$2$ |
9.1.115642794999933184.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.471...128.24t569.a.a 8.471...128.24t569.a.b |
$8$ |
$ 2^{12} \cdot 163^{5}$ |
$2$ |
9.1.76821993791524864.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.670...103.24t569.a.a 8.670...103.24t569.a.b |
$8$ |
$ 3^{6} \cdot 13^{5} \cdot 19^{5}$ |
$3$ |
9.1.165542400249498441.2 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.670...103.24t569.b.a 8.670...103.24t569.b.b |
$8$ |
$ 3^{6} \cdot 13^{5} \cdot 19^{5}$ |
$3$ |
9.1.165542400249498441.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.180...401.9t23.a.a |
$8$ |
$ 349^{6}$ |
$1$ |
9.1.1806976738085401.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.304...689.24t569.a.a 8.304...689.24t569.a.b |
$8$ |
$ 3^{10} \cdot 61^{6}$ |
$2$ |
9.1.817583065209.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.372...024.9t23.a.a |
$8$ |
$ 2^{22} \cdot 31^{6}$ |
$2$ |
9.1.3722460239233024.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.372...024.9t23.b.a |
$8$ |
$ 2^{22} \cdot 31^{6}$ |
$2$ |
9.1.3722460239233024.2 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.372...024.9t23.c.a |
$8$ |
$ 2^{22} \cdot 31^{6}$ |
$2$ |
9.1.3722460239233024.3 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.372...024.9t23.d.a |
$8$ |
$ 2^{22} \cdot 31^{6}$ |
$2$ |
9.1.3722460239233024.4 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.391...529.9t23.a.a |
$8$ |
$ 397^{6}$ |
$1$ |
9.1.3915101633817529.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.454...449.9t23.a.a |
$8$ |
$ 11^{6} \cdot 37^{6}$ |
$2$ |
9.1.4545340842854449.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.111...489.9t23.a.a |
$8$ |
$ 11^{6} \cdot 43^{6}$ |
$2$ |
9.1.11198680244449489.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.117...625.9t23.a.a |
$8$ |
$ 5^{4} \cdot 163^{6}$ |
$2$ |
9.1.11722105986255625.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.178...561.9t23.a.a |
$8$ |
$ 7^{6} \cdot 73^{6}$ |
$2$ |
9.1.17804320388674561.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.267...329.24t569.a.a 8.267...329.24t569.a.b |
$8$ |
$ 547^{6}$ |
$1$ |
9.1.89526025681.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.365...609.9t23.a.a |
$8$ |
$ 3^{4} \cdot 277^{6}$ |
$2$ |
9.1.36590103105447609.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.768...864.9t23.a.a |
$8$ |
$ 2^{12} \cdot 163^{6}$ |
$2$ |
9.1.76821993791524864.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.979...921.9t23.a.a |
$8$ |
$ 7^{6} \cdot 97^{6}$ |
$2$ |
9.1.97998323407891921.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.979...921.9t23.b.a |
$8$ |
$ 7^{6} \cdot 97^{6}$ |
$2$ |
9.1.97998323407891921.2 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.115...184.9t23.a.a |
$8$ |
$ 2^{8} \cdot 277^{6}$ |
$2$ |
9.1.115642794999933184.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.115...664.24t569.a.a 8.115...664.24t569.a.b |
$8$ |
$ 2^{6} \cdot 349^{6}$ |
$2$ |
9.1.949470950464.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$0$ |
| 8.115...664.9t23.a.a |
$8$ |
$ 2^{6} \cdot 349^{6}$ |
$2$ |
9.1.115646511237465664.2 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.115...664.9t23.b.a |
$8$ |
$ 2^{6} \cdot 349^{6}$ |
$2$ |
9.1.115646511237465664.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.127...241.9t23.a.a |
$8$ |
$ 709^{6}$ |
$1$ |
9.1.127021550911887241.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.165...441.9t23.a.a |
$8$ |
$ 3^{6} \cdot 13^{6} \cdot 19^{6}$ |
$3$ |
9.1.165542400249498441.2 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.165...441.9t23.b.a |
$8$ |
$ 3^{6} \cdot 13^{6} \cdot 19^{6}$ |
$3$ |
9.1.165542400249498441.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$0$ |
| 8.754...161.9t23.a.a |
$8$ |
$ 71^{6} \cdot 277^{4}$ |
$2$ |
9.9.754169853931401428161.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$(C_3^2:Q_8):C_3$ |
$1$ |
$8$ |
| 8.578...369.24t569.a.a 8.578...369.24t569.a.b |
$8$ |
$ 71^{6} \cdot 277^{6}$ |
$2$ |
9.9.754169853931401428161.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$8$ |
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