Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
2.2304.8t5.a.a |
$2$ |
$ 2^{8} \cdot 3^{2}$ |
$2$ |
8.8.12230590464.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.2304.8t5.b.a |
$2$ |
$ 2^{8} \cdot 3^{2}$ |
$2$ |
8.0.12230590464.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.11025.8t5.a.a |
$2$ |
$ 3^{2} \cdot 5^{2} \cdot 7^{2}$ |
$3$ |
8.8.1340095640625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.11025.8t5.b.a |
$2$ |
$ 3^{2} \cdot 5^{2} \cdot 7^{2}$ |
$3$ |
8.0.1340095640625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.21025.8t5.a.a |
$2$ |
$ 5^{2} \cdot 29^{2}$ |
$2$ |
8.8.9294114390625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.26569.24t7.a.a |
$2$ |
$ 163^{2}$ |
$1$ |
8.8.18755369578009.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$2$ |
2.26569.24t7.b.a |
$2$ |
$ 163^{2}$ |
$1$ |
8.0.705911761.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$-2$ |
2.30976.8t5.a.a |
$2$ |
$ 2^{8} \cdot 11^{2}$ |
$2$ |
8.8.29721861554176.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.30976.8t5.b.a |
$2$ |
$ 2^{8} \cdot 11^{2}$ |
$2$ |
8.0.29721861554176.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.33489.24t7.a.a |
$2$ |
$ 3^{2} \cdot 61^{2}$ |
$2$ |
8.8.37558352909169.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$2$ |
2.33489.24t7.b.a |
$2$ |
$ 3^{2} \cdot 61^{2}$ |
$2$ |
8.0.37558352909169.2 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$-2$ |
2.33489.24t7.c.a |
$2$ |
$ 3^{2} \cdot 61^{2}$ |
$2$ |
8.8.10093618089.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$2$ |
2.33489.24t7.d.a |
$2$ |
$ 3^{2} \cdot 61^{2}$ |
$2$ |
8.0.10093618089.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$-2$ |
2.42025.8t5.a.a |
$2$ |
$ 5^{2} \cdot 41^{2}$ |
$2$ |
8.8.74220378765625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.48841.8t5.a.a |
$2$ |
$ 13^{2} \cdot 17^{2}$ |
$2$ |
8.8.116507435287321.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.53361.8t5.a.a |
$2$ |
$ 3^{2} \cdot 7^{2} \cdot 11^{2}$ |
$3$ |
8.8.151939915084881.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.53361.8t5.b.a |
$2$ |
$ 3^{2} \cdot 7^{2} \cdot 11^{2}$ |
$3$ |
8.0.151939915084881.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.57600.8t5.a.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 5^{2}$ |
$3$ |
8.8.47775744000000.2 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.57600.8t5.b.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 5^{2}$ |
$3$ |
8.0.47775744000000.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.57600.8t5.c.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 5^{2}$ |
$3$ |
8.8.47775744000000.3 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.57600.8t5.d.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 5^{2}$ |
$3$ |
8.0.47775744000000.2 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.57600.8t5.e.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 5^{2}$ |
$3$ |
8.8.7644119040000.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.57600.8t5.f.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 5^{2}$ |
$3$ |
8.0.7644119040000.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.66049.12t5.a.a |
$2$ |
$ 257^{2}$ |
$1$ |
12.12.4891005035897482905857.1 |
$C_3 : C_4$ |
$S_3$ |
$C_3 : C_4$ |
$-1$ |
$2$ |
2.73984.8t5.a.a |
$2$ |
$ 2^{8} \cdot 17^{2}$ |
$2$ |
8.8.101240302206976.2 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.73984.8t5.b.a |
$2$ |
$ 2^{8} \cdot 17^{2}$ |
$2$ |
8.0.101240302206976.2 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.76729.24t7.a.a |
$2$ |
$ 277^{2}$ |
$1$ |
8.8.451729667968489.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$2$ |
2.76729.24t7.b.a |
$2$ |
$ 277^{2}$ |
$1$ |
8.8.5887339441.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$2$ |
2.92416.8t5.a.a |
$2$ |
$ 2^{8} \cdot 19^{2}$ |
$2$ |
8.8.789298907447296.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.92416.8t5.b.a |
$2$ |
$ 2^{8} \cdot 19^{2}$ |
$2$ |
8.0.789298907447296.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.93025.8t5.a.a |
$2$ |
$ 5^{2} \cdot 61^{2}$ |
$2$ |
8.0.805005849390625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.112896.8t5.a.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.8.1438916737499136.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.112896.8t5.b.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.8.1438916737499136.2 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.112896.8t5.c.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.0.1438916737499136.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.112896.8t5.d.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.0.1438916737499136.2 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.112896.8t5.e.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.8.29365647704064.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.112896.8t5.f.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.0.29365647704064.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.112896.8t5.g.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.8.359729184374784.2 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.112896.8t5.h.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.0.359729184374784.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.112896.8t5.i.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.8.359729184374784.3 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.112896.8t5.j.a |
$2$ |
$ 2^{8} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.0.359729184374784.2 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.119025.8t5.a.a |
$2$ |
$ 3^{2} \cdot 5^{2} \cdot 23^{2}$ |
$3$ |
8.8.1686221298140625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.119025.8t5.b.a |
$2$ |
$ 3^{2} \cdot 5^{2} \cdot 23^{2}$ |
$3$ |
8.0.1686221298140625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.121801.24t7.a.a |
$2$ |
$ 349^{2}$ |
$1$ |
8.0.1806976738085401.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$-2$ |
2.121801.24t7.b.a |
$2$ |
$ 349^{2}$ |
$1$ |
8.0.14835483601.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$-2$ |
2.127449.8t5.a.a |
$2$ |
$ 3^{2} \cdot 7^{2} \cdot 17^{2}$ |
$3$ |
8.8.2070185663499849.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.127449.8t5.b.a |
$2$ |
$ 3^{2} \cdot 7^{2} \cdot 17^{2}$ |
$3$ |
8.0.2070185663499849.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.142129.8t5.a.a |
$2$ |
$ 13^{2} \cdot 29^{2}$ |
$2$ |
8.0.2871098559212689.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.157609.24t7.a.a |
$2$ |
$ 397^{2}$ |
$1$ |
8.0.24840596881.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$-2$ |
2.157609.24t7.b.a |
$2$ |
$ 397^{2}$ |
$1$ |
8.0.3915101633817529.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$-2$ |
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