| Label |
Degree |
Type |
Faithful |
Conductor |
Field of Traces |
$\Q$-character |
Group |
Image |
Image Order |
Kernel |
Kernel Order |
Center |
Center Order |
Center Index |
Schur Index |
| 4032.ch.1a |
$1$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.1a |
$C_3\times \SL(2,7):C_2^2$ |
$C_1$ |
$1$ |
1.a1 |
$4032$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1b |
$1$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.1b |
$C_3\times \SL(2,7):C_2^2$ |
$C_2$ |
$2$ |
2.a1 |
$2016$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1c |
$1$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.1c |
$C_3\times \SL(2,7):C_2^2$ |
$C_2$ |
$2$ |
2.a1 |
$2016$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1d |
$1$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.1d |
$C_3\times \SL(2,7):C_2^2$ |
$C_2$ |
$2$ |
2.a1 |
$2016$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1e1 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.1e |
$C_3\times \SL(2,7):C_2^2$ |
$C_3$ |
$3$ |
3.a1 |
$1344$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1e2 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.1e |
$C_3\times \SL(2,7):C_2^2$ |
$C_3$ |
$3$ |
3.a1 |
$1344$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1f1 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.1f |
$C_3\times \SL(2,7):C_2^2$ |
$C_6$ |
$6$ |
6.a1 |
$672$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1f2 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.1f |
$C_3\times \SL(2,7):C_2^2$ |
$C_6$ |
$6$ |
6.a1 |
$672$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1g1 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.1g |
$C_3\times \SL(2,7):C_2^2$ |
$C_6$ |
$6$ |
6.a1 |
$672$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1g2 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.1g |
$C_3\times \SL(2,7):C_2^2$ |
$C_6$ |
$6$ |
6.a1 |
$672$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1h1 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.1h |
$C_3\times \SL(2,7):C_2^2$ |
$C_6$ |
$6$ |
6.a1 |
$672$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.1h2 |
$1$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.1h |
$C_3\times \SL(2,7):C_2^2$ |
$C_6$ |
$6$ |
6.a1 |
$672$ |
1.a1 |
$4032$ |
$1$ |
$1$ |
| 4032.ch.3a1 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
4032.ch.3a |
$C_3\times \SL(2,7):C_2^2$ |
$\PSL(2,7)$ |
$168$ |
168.a1 |
$24$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3a2 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
4032.ch.3a |
$C_3\times \SL(2,7):C_2^2$ |
$\PSL(2,7)$ |
$168$ |
168.a1 |
$24$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3b1 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
4032.ch.3b |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3b2 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
4032.ch.3b |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3c1 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
4032.ch.3c |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3c2 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
4032.ch.3c |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3d1 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
4032.ch.3d |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3d2 |
$3$ |
C |
|
$7$ |
\(\Q(\sqrt{-7}) \) |
4032.ch.3d |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3e1 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3e |
$C_3\times \SL(2,7):C_2^2$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1 |
$8$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3e2 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3e |
$C_3\times \SL(2,7):C_2^2$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1 |
$8$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3e3 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3e |
$C_3\times \SL(2,7):C_2^2$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1 |
$8$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3e4 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3e |
$C_3\times \SL(2,7):C_2^2$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1 |
$8$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3f1 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3f |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3f2 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3f |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3f3 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3f |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3f4 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3f |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3g1 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3g |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3g2 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3g |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3g3 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3g |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3g4 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3g |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3h1 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3h |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3h2 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3h |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3h3 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3h |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.3h4 |
$3$ |
C |
|
$21$ |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
4032.ch.3h |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6a |
$6$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.6a |
$C_3\times \SL(2,7):C_2^2$ |
$\PSL(2,7)$ |
$168$ |
168.a1 |
$24$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6b |
$6$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.6b |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6c |
$6$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.6c |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6d |
$6$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.6d |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6e1 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.6e |
$C_3\times \SL(2,7):C_2^2$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1 |
$8$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6e2 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.6e |
$C_3\times \SL(2,7):C_2^2$ |
$C_3\times \GL(3,2)$ |
$504$ |
504.a1 |
$8$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6f1 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.6f |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6f2 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.6f |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6g1 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.6g |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6g2 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.6g |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6h1 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.6h |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.6h2 |
$6$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
4032.ch.6h |
$C_3\times \SL(2,7):C_2^2$ |
$C_6\times \GL(3,2)$ |
$1008$ |
1008.a1 |
$4$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.7a |
$7$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.7a |
$C_3\times \SL(2,7):C_2^2$ |
$\PSL(2,7)$ |
$168$ |
168.a1 |
$24$ |
168.a1 |
$24$ |
$168$ |
$1$ |
| 4032.ch.7b |
$7$ |
R |
|
$1$ |
\(\Q\) |
4032.ch.7b |
$C_3\times \SL(2,7):C_2^2$ |
$C_2\times \GL(3,2)$ |
$336$ |
336.a1 |
$12$ |
168.a1 |
$24$ |
$168$ |
$1$ |
