| Label |
Degree |
Type |
Faithful |
Conductor |
Field of Traces |
$\Q$-character |
Group |
Image |
Image Order |
Kernel |
Kernel Order |
Center |
Center Order |
Center Index |
Schur Index |
| 16128.bb.1a |
$1$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.1a |
$C_3\times \SL(2,7).D_8$ |
$C_1$ |
$1$ |
1.a1.a1 |
$16128$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1b |
$1$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.1b |
$C_3\times \SL(2,7).D_8$ |
$C_2$ |
$2$ |
2.c1.a1 |
$8064$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1c |
$1$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.1c |
$C_3\times \SL(2,7).D_8$ |
$C_2$ |
$2$ |
2.b1.a1 |
$8064$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1d |
$1$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.1d |
$C_3\times \SL(2,7).D_8$ |
$C_2$ |
$2$ |
2.a1.a1 |
$8064$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1e1 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.1e |
$C_3\times \SL(2,7).D_8$ |
$C_3$ |
$3$ |
3.a1.a1 |
$5376$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1e2 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.1e |
$C_3\times \SL(2,7).D_8$ |
$C_3$ |
$3$ |
3.a1.a1 |
$5376$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1f1 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.1f |
$C_3\times \SL(2,7).D_8$ |
$C_6$ |
$6$ |
6.c1.a1 |
$2688$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1f2 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.1f |
$C_3\times \SL(2,7).D_8$ |
$C_6$ |
$6$ |
6.c1.a1 |
$2688$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1g1 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.1g |
$C_3\times \SL(2,7).D_8$ |
$C_6$ |
$6$ |
6.b1.a1 |
$2688$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1g2 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.1g |
$C_3\times \SL(2,7).D_8$ |
$C_6$ |
$6$ |
6.b1.a1 |
$2688$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1h1 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.1h |
$C_3\times \SL(2,7).D_8$ |
$C_6$ |
$6$ |
6.a1.a1 |
$2688$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.1h2 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.1h |
$C_3\times \SL(2,7).D_8$ |
$C_6$ |
$6$ |
6.a1.a1 |
$2688$ |
1.a1.a1 |
$16128$ |
$1$ |
$1$ |
| 16128.bb.2a |
$2$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.2a |
$C_3\times \SL(2,7).D_8$ |
$D_4$ |
$8$ |
8.a1.a1 |
$2016$ |
4.a1.a1 |
$4032$ |
$4$ |
$1$ |
| 16128.bb.2b1 |
$2$ |
R |
|
$8$ |
\(\Q(\sqrt{2}) \) |
16128.bb.2b |
$C_3\times \SL(2,7).D_8$ |
$D_8$ |
$16$ |
16.a1.a1 |
$1008$ |
8.a1.a1 |
$2016$ |
$8$ |
$1$ |
| 16128.bb.2b2 |
$2$ |
R |
|
$8$ |
\(\Q(\sqrt{2}) \) |
16128.bb.2b |
$C_3\times \SL(2,7).D_8$ |
$D_8$ |
$16$ |
16.a1.a1 |
$1008$ |
8.a1.a1 |
$2016$ |
$8$ |
$1$ |
| 16128.bb.2c1 |
$2$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.2c |
$C_3\times \SL(2,7).D_8$ |
$C_3\times D_4$ |
$24$ |
24.a1.a1 |
$672$ |
4.a1.a1 |
$4032$ |
$4$ |
$1$ |
| 16128.bb.2c2 |
$2$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.2c |
$C_3\times \SL(2,7).D_8$ |
$C_3\times D_4$ |
$24$ |
24.a1.a1 |
$672$ |
4.a1.a1 |
$4032$ |
$4$ |
$1$ |
| 16128.bb.2d1 |
$2$ |
C |
|
$24$ |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
16128.bb.2d |
$C_3\times \SL(2,7).D_8$ |
$C_3\times D_8$ |
$48$ |
48.a1.a1 |
$336$ |
8.a1.a1 |
$2016$ |
$8$ |
$1$ |
| 16128.bb.2d2 |
$2$ |
C |
|
$24$ |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
16128.bb.2d |
$C_3\times \SL(2,7).D_8$ |
$C_3\times D_8$ |
$48$ |
48.a1.a1 |
$336$ |
8.a1.a1 |
$2016$ |
$8$ |
$1$ |
| 16128.bb.2d3 |
$2$ |
C |
|
$24$ |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
16128.bb.2d |
$C_3\times \SL(2,7).D_8$ |
$C_3\times D_8$ |
$48$ |
48.a1.a1 |
$336$ |
8.a1.a1 |
$2016$ |
$8$ |
$1$ |
| 16128.bb.2d4 |
$2$ |
C |
|
$24$ |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
16128.bb.2d |
$C_3\times \SL(2,7).D_8$ |
$C_3\times D_8$ |
$48$ |
48.a1.a1 |
$336$ |
8.a1.a1 |
$2016$ |
$8$ |
$1$ |
| 16128.bb.3a1 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
16128.bb.3a |
$C_3\times \SL(2,7).D_8$ |
$\PSL(2,7)$ |
$168$ |
168.a1.a1 |
$96$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3a2 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
16128.bb.3a |
$C_3\times \SL(2,7).D_8$ |
$\PSL(2,7)$ |
$168$ |
168.a1.a1 |
$96$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3b1 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
16128.bb.3b |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.b1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3b2 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
16128.bb.3b |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.b1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3c1 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
16128.bb.3c |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.c1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3c2 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
16128.bb.3c |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.c1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3d1 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
16128.bb.3d |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3d2 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
16128.bb.3d |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3e1 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3e |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.b1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3e2 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3e |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.b1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3e3 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3e |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.b1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3e4 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3e |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.b1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3f1 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3f |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.c1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3f2 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3f |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.c1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3f3 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3f |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.c1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3f4 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3f |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.c1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3g1 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3g |
$C_3\times \SL(2,7).D_8$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1.a1 |
$32$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3g2 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3g |
$C_3\times \SL(2,7).D_8$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1.a1 |
$32$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3g3 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3g |
$C_3\times \SL(2,7).D_8$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1.a1 |
$32$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3g4 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3g |
$C_3\times \SL(2,7).D_8$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1.a1 |
$32$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3h1 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3h |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3h2 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3h |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3h3 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3h |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.3h4 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
16128.bb.3h |
$C_3\times \SL(2,7).D_8$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1.a1 |
$16$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.6a |
$6$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.6a |
$C_3\times \SL(2,7).D_8$ |
$\PSL(2,7)$ |
$168$ |
168.a1.a1 |
$96$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.6b |
$6$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.6b |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.c1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.6c |
$6$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.6c |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.b1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.6d |
$6$ |
R |
|
$1$ |
\(\Q\) |
16128.bb.6d |
$C_3\times \SL(2,7).D_8$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1.a1 |
$48$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
| 16128.bb.6e1 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
16128.bb.6e |
$C_3\times \SL(2,7).D_8$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1.a1 |
$32$ |
168.a1.a1 |
$96$ |
$168$ |
$1$ |
