Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 10.147...000.110.a.a |
$10$ |
$ 2^{6} \cdot 5^{10} \cdot 11^{9}$ |
$3$ |
12.2.713279176527500000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.147...000.22t14.a.a 10.147...000.22t14.a.b |
$10$ |
$ 2^{6} \cdot 5^{10} \cdot 11^{9}$ |
$3$ |
12.2.713279176527500000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.147...000.55.a.a |
$10$ |
$ 2^{6} \cdot 5^{10} \cdot 11^{9}$ |
$3$ |
12.2.713279176527500000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.456...000.110.a.a |
$10$ |
$ 2^{10} \cdot 5^{6} \cdot 11^{11}$ |
$3$ |
12.2.114124668244400000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.456...000.22t14.a.a 10.456...000.22t14.a.b |
$10$ |
$ 2^{10} \cdot 5^{6} \cdot 11^{11}$ |
$3$ |
12.2.114124668244400000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.456...000.55.a.a |
$10$ |
$ 2^{10} \cdot 5^{6} \cdot 11^{11}$ |
$3$ |
12.2.114124668244400000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.589...000.55.a.a |
$10$ |
$ 2^{8} \cdot 5^{10} \cdot 11^{9}$ |
$3$ |
12.2.713279176527500000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.172...536.22t14.a.a 10.172...536.22t14.a.b |
$10$ |
$ 2^{10} \cdot 3^{10} \cdot 11^{11}$ |
$3$ |
12.2.276027291040300056576.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.690...144.110.a.a |
$10$ |
$ 2^{12} \cdot 3^{10} \cdot 11^{11}$ |
$3$ |
12.2.276027291040300056576.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.690...144.55.a.a |
$10$ |
$ 2^{12} \cdot 3^{10} \cdot 11^{11}$ |
$3$ |
12.2.276027291040300056576.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.690...144.55.b.a |
$10$ |
$ 2^{12} \cdot 3^{10} \cdot 11^{11}$ |
$3$ |
12.2.276027291040300056576.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.114...000.55.a.a |
$10$ |
$ 2^{10} \cdot 5^{8} \cdot 11^{11}$ |
$3$ |
12.2.114124668244400000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.682...416.110.a.a |
$10$ |
$ 2^{10} \cdot 7^{10} \cdot 11^{9}$ |
$3$ |
12.2.82527728843210964110336.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.682...416.22t14.a.a 10.682...416.22t14.a.b |
$10$ |
$ 2^{10} \cdot 7^{10} \cdot 11^{9}$ |
$3$ |
12.2.82527728843210964110336.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.682...416.55.a.a |
$10$ |
$ 2^{10} \cdot 7^{10} \cdot 11^{9}$ |
$3$ |
12.2.82527728843210964110336.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.682...416.55.b.a |
$10$ |
$ 2^{10} \cdot 7^{10} \cdot 11^{9}$ |
$3$ |
12.2.82527728843210964110336.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.285...000.22t14.a.a 10.285...000.22t14.a.b |
$10$ |
$ 2^{10} \cdot 5^{10} \cdot 11^{11}$ |
$3$ |
12.2.45649867297760000000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.475...259.110.a.a |
$10$ |
$ 11^{9} \cdot 17^{10}$ |
$2$ |
12.2.575186587678690213004339.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.475...259.22t14.a.a 10.475...259.22t14.a.b |
$10$ |
$ 11^{9} \cdot 17^{10}$ |
$2$ |
12.2.575186587678690213004339.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.475...259.55.a.a |
$10$ |
$ 11^{9} \cdot 17^{10}$ |
$2$ |
12.2.575186587678690213004339.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.475...259.55.b.a |
$10$ |
$ 11^{9} \cdot 17^{10}$ |
$2$ |
12.2.575186587678690213004339.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.740...211.110.a.a |
$10$ |
$ 11^{21}$ |
$1$ |
12.2.7400249944258160101211.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.740...211.22t14.a.a 10.740...211.22t14.a.b |
$10$ |
$ 11^{21}$ |
$1$ |
12.2.7400249944258160101211.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.740...211.55.a.a |
$10$ |
$ 11^{21}$ |
$1$ |
12.2.7400249944258160101211.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.740...211.55.b.a |
$10$ |
$ 11^{21}$ |
$1$ |
12.2.7400249944258160101211.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.114...000.110.a.a |
$10$ |
$ 2^{12} \cdot 5^{10} \cdot 11^{11}$ |
$3$ |
12.2.45649867297760000000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.114...000.55.a.a |
$10$ |
$ 2^{12} \cdot 5^{10} \cdot 11^{11}$ |
$3$ |
12.2.45649867297760000000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.114...000.55.b.a |
$10$ |
$ 2^{12} \cdot 5^{10} \cdot 11^{11}$ |
$3$ |
12.2.45649867297760000000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.164...875.110.a.a |
$10$ |
$ 3^{10} \cdot 5^{10} \cdot 11^{11}$ |
$3$ |
12.2.164525086307704482421875.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.164...875.22t14.a.a 10.164...875.22t14.a.b |
$10$ |
$ 3^{10} \cdot 5^{10} \cdot 11^{11}$ |
$3$ |
12.2.164525086307704482421875.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.164...875.55.a.a |
$10$ |
$ 3^{10} \cdot 5^{10} \cdot 11^{11}$ |
$3$ |
12.2.164525086307704482421875.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.164...875.55.b.a |
$10$ |
$ 3^{10} \cdot 5^{10} \cdot 11^{11}$ |
$3$ |
12.2.164525086307704482421875.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.473...504.110.a.a |
$10$ |
$ 2^{6} \cdot 11^{21}$ |
$2$ |
12.2.1894463985730088985910016.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.473...504.22t14.a.a 10.473...504.22t14.a.b |
$10$ |
$ 2^{6} \cdot 11^{21}$ |
$2$ |
12.2.1894463985730088985910016.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.473...504.55.a.a |
$10$ |
$ 2^{6} \cdot 11^{21}$ |
$2$ |
12.2.1894463985730088985910016.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.139...000.110.a.a |
$10$ |
$ 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 11^{9}$ |
$4$ |
12.2.168473688379089390000000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.139...000.22t14.a.a 10.139...000.22t14.a.b |
$10$ |
$ 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 11^{9}$ |
$4$ |
12.2.168473688379089390000000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.139...000.55.a.a |
$10$ |
$ 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 11^{9}$ |
$4$ |
12.2.168473688379089390000000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.139...000.55.b.a |
$10$ |
$ 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 11^{9}$ |
$4$ |
12.2.168473688379089390000000000.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.174...411.110.a.a |
$10$ |
$ 11^{11} \cdot 19^{10}$ |
$2$ |
12.2.1749264756639935321186411.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.174...411.22t14.a.a 10.174...411.22t14.a.b |
$10$ |
$ 11^{11} \cdot 19^{10}$ |
$2$ |
12.2.1749264756639935321186411.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.174...411.55.a.a |
$10$ |
$ 11^{11} \cdot 19^{10}$ |
$2$ |
12.2.1749264756639935321186411.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.174...411.55.b.a |
$10$ |
$ 11^{11} \cdot 19^{10}$ |
$2$ |
12.2.1749264756639935321186411.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.189...016.55.a.a |
$10$ |
$ 2^{8} \cdot 11^{21}$ |
$2$ |
12.2.1894463985730088985910016.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.251...296.110.a.a |
$10$ |
$ 2^{6} \cdot 11^{11} \cdot 13^{10}$ |
$3$ |
12.2.10069154974041885785533184.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.251...296.22t14.a.a 10.251...296.22t14.a.b |
$10$ |
$ 2^{6} \cdot 11^{11} \cdot 13^{10}$ |
$3$ |
12.2.10069154974041885785533184.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.251...296.55.a.a |
$10$ |
$ 2^{6} \cdot 11^{11} \cdot 13^{10}$ |
$3$ |
12.2.10069154974041885785533184.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
| 10.475...811.110.a.a |
$10$ |
$ 3^{10} \cdot 7^{10} \cdot 11^{11}$ |
$3$ |
12.2.4758964707483168183350811.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$0$ |
| 10.475...811.22t14.a.a 10.475...811.22t14.a.b |
$10$ |
$ 3^{10} \cdot 7^{10} \cdot 11^{11}$ |
$3$ |
12.2.4758964707483168183350811.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
$1$ |
$0$ |
| 10.475...811.55.a.a |
$10$ |
$ 3^{10} \cdot 7^{10} \cdot 11^{11}$ |
$3$ |
12.2.4758964707483168183350811.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$0$ |
