Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
2.1002001.8t5.a.a |
$2$ |
$ 7^{2} \cdot 11^{2} \cdot 13^{2}$ |
$3$ |
8.8.1006015020015006001.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.1002001.8t5.b.a |
$2$ |
$ 7^{2} \cdot 11^{2} \cdot 13^{2}$ |
$3$ |
8.0.1006015020015006001.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.1003244.6t3.a.a |
$2$ |
$ 2^{2} \cdot 11 \cdot 151^{2}$ |
$3$ |
6.0.6665553136.2 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1004004.6t3.a.a |
$2$ |
$ 2^{2} \cdot 3^{2} \cdot 167^{2}$ |
$3$ |
6.0.336008010672.5 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1005120.8t17.a.a 2.1005120.8t17.a.b |
$2$ |
$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 349 $ |
$4$ |
8.0.1269298471772160000.1 |
$C_4\wr C_2$ |
$D_4$ |
$C_4\wr C_2$ |
$0$ |
$-2$ |
2.1005120.8t17.b.a 2.1005120.8t17.b.b |
$2$ |
$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 349 $ |
$4$ |
8.8.1269298471772160000.1 |
$C_4\wr C_2$ |
$D_4$ |
$C_4\wr C_2$ |
$0$ |
$2$ |
2.1005487.3t2.a.a |
$2$ |
$ 7 \cdot 379^{2}$ |
$2$ |
3.1.1005487.1 |
$S_3$ |
$S_3$ |
$S_3$ |
$1$ |
$0$ |
2.1005487.7t2.a.a 2.1005487.7t2.a.b 2.1005487.7t2.a.c |
$2$ |
$ 7 \cdot 379^{2}$ |
$2$ |
7.1.1016551486705036303.1 |
$D_{7}$ |
$D_7$ |
$D_{7}$ |
$1$ |
$0$ |
2.1005487.9t3.a.a 2.1005487.9t3.a.b 2.1005487.9t3.a.c |
$2$ |
$ 7 \cdot 379^{2}$ |
$2$ |
9.1.1022129304712586837194561.1 |
$D_{9}$ |
$D_9$ |
$D_{9}$ |
$1$ |
$0$ |
2.1005487.14t8.a.a 2.1005487.14t8.a.b 2.1005487.14t8.a.c 2.1005487.14t8.a.d 2.1005487.14t8.a.e 2.1005487.14t8.a.f |
$2$ |
$ 7 \cdot 379^{2}$ |
$2$ |
14.0.2440740119578792163503.1 |
$C_7 \wr C_2$ |
$D_7$ |
$C_7 \wr C_2$ |
$0$ |
$0$ |
2.1005487.14t8.b.a 2.1005487.14t8.b.b 2.1005487.14t8.b.c 2.1005487.14t8.b.d 2.1005487.14t8.b.e 2.1005487.14t8.b.f |
$2$ |
$ 7 \cdot 379^{2}$ |
$2$ |
14.0.2440740119578792163503.1 |
$C_7 \wr C_2$ |
$D_7$ |
$C_7 \wr C_2$ |
$0$ |
$0$ |
2.1005487.120.a.a 2.1005487.120.a.b 2.1005487.120.a.c 2.1005487.120.a.d |
$2$ |
$ 7 \cdot 379^{2}$ |
$2$ |
24.4.51192667462059573427122538883127753427023431153329.1 |
$\SL(2,5):C_2$ |
$A_5$ |
120 |
$0$ |
$0$ |
2.1005487.27t8.a.a 2.1005487.27t8.a.b 2.1005487.27t8.a.c 2.1005487.27t8.a.d 2.1005487.27t8.a.e 2.1005487.27t8.a.f 2.1005487.27t8.a.g 2.1005487.27t8.a.h 2.1005487.27t8.a.i |
$2$ |
$ 7 \cdot 379^{2}$ |
$2$ |
27.1.1073727260374314371110772396684646070264556629299127496797870944092068852299247.1 |
$D_{27}$ |
$D_{27}$ |
$D_{27}$ |
$1$ |
$0$ |
2.1008200.6t3.b.a |
$2$ |
$ 2^{3} \cdot 5^{2} \cdot 71^{2}$ |
$3$ |
6.0.14316440000.4 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1009200.6t3.b.a |
$2$ |
$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 29^{2}$ |
$4$ |
6.0.254621160000.4 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1009200.6t3.d.a |
$2$ |
$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 29^{2}$ |
$4$ |
6.0.1018484640000.3 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1010025.8t5.a.a |
$2$ |
$ 3^{2} \cdot 5^{2} \cdot 67^{2}$ |
$3$ |
8.8.1030377509393765625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$2$ |
2.1010025.8t5.b.a |
$2$ |
$ 3^{2} \cdot 5^{2} \cdot 67^{2}$ |
$3$ |
8.0.1030377509393765625.1 |
$Q_8$ |
$C_2^2$ |
$Q_8$ |
$-1$ |
$-2$ |
2.1010800.6t3.a.a |
$2$ |
$ 2^{4} \cdot 5^{2} \cdot 7 \cdot 19^{2}$ |
$4$ |
6.2.13443640000.2 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1012971.4t3.b.a |
$2$ |
$ 3 \cdot 59^{2} \cdot 97 $ |
$3$ |
4.0.3038913.3 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1013888.4t3.a.a |
$2$ |
$ 2^{7} \cdot 89^{2}$ |
$2$ |
4.0.4055552.3 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1013888.8t17.b.a 2.1013888.8t17.b.b |
$2$ |
$ 2^{7} \cdot 89^{2}$ |
$2$ |
8.8.2956854296576.1 |
$C_4\wr C_2$ |
$D_4$ |
$C_4\wr C_2$ |
$0$ |
$2$ |
2.1013888.8t17.c.a 2.1013888.8t17.c.b |
$2$ |
$ 2^{7} \cdot 89^{2}$ |
$2$ |
8.0.2956854296576.1 |
$C_4\wr C_2$ |
$D_4$ |
$C_4\wr C_2$ |
$0$ |
$-2$ |
2.1014101.3t2.a.a |
$2$ |
$ 11^{2} \cdot 17^{2} \cdot 29 $ |
$3$ |
3.3.1014101.1 |
$S_3$ |
$S_3$ |
$S_3$ |
$1$ |
$2$ |
2.1014101.24t22.a.a 2.1014101.24t22.a.b |
$2$ |
$ 11^{2} \cdot 17^{2} \cdot 29 $ |
$3$ |
8.8.29823624307829.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$2$ |
2.1016064.24t7.a.a |
$2$ |
$ 2^{8} \cdot 3^{4} \cdot 7^{2}$ |
$3$ |
8.0.264290829336576.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$-2$ |
2.1016064.24t22.a.a 2.1016064.24t22.a.b |
$2$ |
$ 2^{8} \cdot 3^{4} \cdot 7^{2}$ |
$3$ |
8.2.3237562659373056.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
2.1016064.24t21.a.a 2.1016064.24t21.a.b |
$2$ |
$ 2^{8} \cdot 3^{4} \cdot 7^{2}$ |
$3$ |
16.0.69849642471415141236291403776.1 |
$\SL(2,3):C_2$ |
$A_4$ |
$\SL(2,3):C_2$ |
$0$ |
$0$ |
2.1016127.4t3.b.a |
$2$ |
$ 3^{2} \cdot 7 \cdot 127^{2}$ |
$3$ |
4.0.3048381.2 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1016127.6t3.a.a |
$2$ |
$ 3^{2} \cdot 7 \cdot 127^{2}$ |
$3$ |
6.0.344171360043.2 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1016140.6t3.a.a |
$2$ |
$ 2^{2} \cdot 5 \cdot 23 \cdot 47^{2}$ |
$4$ |
6.0.21968946800.1 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1016172.6t3.b.a |
$2$ |
$ 2^{2} \cdot 3^{3} \cdot 97^{2}$ |
$3$ |
6.2.10645417872.3 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1016400.6t3.a.a |
$2$ |
$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2}$ |
$5$ |
6.0.206613792000.1 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$-2$ |
2.1016452.4t3.a.a |
$2$ |
$ 2^{2} \cdot 59^{2} \cdot 73 $ |
$3$ |
4.0.4065808.1 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1016576.4t3.a.a |
$2$ |
$ 2^{8} \cdot 11 \cdot 19^{2}$ |
$3$ |
4.0.8132608.2 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1017280.4t3.b.a |
$2$ |
$ 2^{6} \cdot 5 \cdot 11 \cdot 17^{2}$ |
$4$ |
4.2.5086400.1 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1018081.24t7.a.a |
$2$ |
$ 1009^{2}$ |
$1$ |
8.8.1036488922561.1 |
$\SL(2,3)$ |
$A_4$ |
$\SL(2,3)$ |
$-1$ |
$2$ |
2.1018800.6t3.b.a |
$2$ |
$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 283 $ |
$4$ |
6.2.17299224000.2 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1019200.4t3.b.a |
$2$ |
$ 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 13 $ |
$4$ |
4.0.4076800.2 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1019200.6t3.a.a |
$2$ |
$ 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 13 $ |
$4$ |
6.0.74197760000.4 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$-2$ |
2.1019572.6t3.a.a |
$2$ |
$ 2^{2} \cdot 37 \cdot 83^{2}$ |
$3$ |
6.0.12524422448.5 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$-2$ |
2.1019592.4t3.b.a |
$2$ |
$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 17^{2}$ |
$4$ |
4.0.17333064.1 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$-2$ |
2.1019667.4t3.a.a |
$2$ |
$ 3 \cdot 11^{2} \cdot 53^{2}$ |
$3$ |
4.0.11216337.1 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1019667.6t3.b.a |
$2$ |
$ 3 \cdot 11^{2} \cdot 53^{2}$ |
$3$ |
6.0.94520071899.1 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1021520.6t3.b.a |
$2$ |
$ 2^{4} \cdot 5 \cdot 113^{2}$ |
$3$ |
6.0.260875777600.2 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$-2$ |
2.1022656.6t3.b.a |
$2$ |
$ 2^{6} \cdot 19 \cdot 29^{2}$ |
$3$ |
6.2.522912647168.5 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1022656.6t3.c.a |
$2$ |
$ 2^{6} \cdot 19 \cdot 29^{2}$ |
$3$ |
6.0.522912647168.4 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |
2.1023120.4t3.b.a |
$2$ |
$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 29 $ |
$5$ |
4.0.5115600.4 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$-2$ |
2.1023168.4t3.b.a |
$2$ |
$ 2^{6} \cdot 3 \cdot 73^{2}$ |
$3$ |
4.2.74691264.2 |
$D_{4}$ |
$C_2^2$ |
$D_{4}$ |
$1$ |
$0$ |
2.1023168.6t3.b.a |
$2$ |
$ 2^{6} \cdot 3 \cdot 73^{2}$ |
$3$ |
6.2.130859094528.7 |
$D_{6}$ |
$S_3$ |
$D_{6}$ |
$1$ |
$0$ |