| Label |
Degree |
Type |
Faithful |
Conductor |
Field of Traces |
$\Q$-character |
Group |
Image |
Image Order |
Kernel |
Kernel Order |
Center |
Center Order |
Center Index |
Schur Index |
| 1889568.pf.1a |
$1$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.1a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_1$ |
$1$ |
not computed |
$1889568$ |
not computed |
$1889568$ |
$1$ |
$1$ |
| 1889568.pf.1b |
$1$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.1b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2$ |
$2$ |
not computed |
$944784$ |
not computed |
$1889568$ |
$1$ |
$1$ |
| 1889568.pf.1c |
$1$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.1c |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2$ |
$2$ |
not computed |
$944784$ |
not computed |
$1889568$ |
$1$ |
$1$ |
| 1889568.pf.1d |
$1$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.1d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2$ |
$2$ |
not computed |
$944784$ |
not computed |
$1889568$ |
$1$ |
$1$ |
| 1889568.pf.2a |
$2$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.2a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3$ |
$6$ |
not computed |
$314928$ |
not computed |
$314928$ |
$6$ |
$1$ |
| 1889568.pf.2b |
$2$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.2b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3$ |
$6$ |
not computed |
$314928$ |
not computed |
$314928$ |
$6$ |
$1$ |
| 1889568.pf.2c |
$2$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.2c |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$D_6$ |
$12$ |
not computed |
$157464$ |
not computed |
$314928$ |
$6$ |
$1$ |
| 1889568.pf.2d |
$2$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.2d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$D_6$ |
$12$ |
not computed |
$157464$ |
not computed |
$314928$ |
$6$ |
$1$ |
| 1889568.pf.2e1 |
$2$ |
C |
|
$8$ |
\(\Q(\sqrt{-2}) \) |
1889568.pf.2e |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$48$ |
not computed |
$39366$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.2e2 |
$2$ |
C |
|
$8$ |
\(\Q(\sqrt{-2}) \) |
1889568.pf.2e |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$48$ |
not computed |
$39366$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.2f1 |
$2$ |
C |
|
$8$ |
\(\Q(\sqrt{-2}) \) |
1889568.pf.2f |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$48$ |
not computed |
$39366$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.2f2 |
$2$ |
C |
|
$8$ |
\(\Q(\sqrt{-2}) \) |
1889568.pf.2f |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$48$ |
not computed |
$39366$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.3a |
$3$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.3a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_4$ |
$24$ |
not computed |
$78732$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.3b |
$3$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.3b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_4$ |
$24$ |
not computed |
$78732$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.3c |
$3$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.3c |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$48$ |
not computed |
$39366$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.3d |
$3$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.3d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$48$ |
not computed |
$39366$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.4a |
$4$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.4a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3^2$ |
$36$ |
not computed |
$52488$ |
not computed |
$52488$ |
$36$ |
$1$ |
| 1889568.pf.4b |
$4$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.4b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$48$ |
not computed |
$39366$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.4c |
$4$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.4c |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$48$ |
not computed |
$39366$ |
not computed |
$78732$ |
$24$ |
$1$ |
| 1889568.pf.4d1 |
$4$ |
C |
|
$8$ |
\(\Q(\sqrt{-2}) \) |
1889568.pf.4d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times \GL(2,3)$ |
$288$ |
not computed |
$6561$ |
not computed |
$13122$ |
$144$ |
$1$ |
| 1889568.pf.4d2 |
$4$ |
C |
|
$8$ |
\(\Q(\sqrt{-2}) \) |
1889568.pf.4d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times \GL(2,3)$ |
$288$ |
not computed |
$6561$ |
not computed |
$13122$ |
$144$ |
$1$ |
| 1889568.pf.6a |
$6$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.6a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times S_4$ |
$144$ |
not computed |
$13122$ |
not computed |
$13122$ |
$144$ |
$1$ |
| 1889568.pf.6b |
$6$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.6b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times S_4$ |
$144$ |
not computed |
$13122$ |
not computed |
$13122$ |
$144$ |
$1$ |
| 1889568.pf.8a |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^2:\GL(2,3)$ |
$432$ |
not computed |
$4374$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.8b |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^2:\GL(2,3)$ |
$432$ |
not computed |
$4374$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.8c |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8c |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^2:\GL(2,3)$ |
$432$ |
not computed |
$4374$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.8d |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^2:\GL(2,3)$ |
$432$ |
not computed |
$4374$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.8e |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8e |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2\times C_3^2:\GL(2,3)$ |
$864$ |
not computed |
$2187$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.8f |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8f |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2\times C_3^2:\GL(2,3)$ |
$864$ |
not computed |
$2187$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.8g |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8g |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2\times C_3^2:\GL(2,3)$ |
$864$ |
not computed |
$2187$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.8h |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8h |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2\times C_3^2:\GL(2,3)$ |
$864$ |
not computed |
$2187$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.8i |
$8$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.8i |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times \GL(2,3)$ |
$288$ |
not computed |
$6561$ |
not computed |
$13122$ |
$144$ |
$1$ |
| 1889568.pf.9a1 |
$9$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
1889568.pf.9a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^3:C_3^2:\GL(2,3)$ |
$11664$ |
not computed |
$162$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.9a2 |
$9$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
1889568.pf.9a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^3:C_3^2:\GL(2,3)$ |
$11664$ |
not computed |
$162$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.9b1 |
$9$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
1889568.pf.9b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$23328$ |
not computed |
$81$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.9b2 |
$9$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
1889568.pf.9b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$23328$ |
not computed |
$81$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.9c1 |
$9$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
1889568.pf.9c |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$23328$ |
not computed |
$81$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.9c2 |
$9$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
1889568.pf.9c |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
|
$23328$ |
not computed |
$81$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.9d1 |
$9$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
1889568.pf.9d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^3:C_3^2:\GL(2,3)$ |
$11664$ |
not computed |
$162$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.9d2 |
$9$ |
C |
|
$3$ |
\(\Q(\sqrt{-3}) \) |
1889568.pf.9d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^3:C_3^2:\GL(2,3)$ |
$11664$ |
not computed |
$162$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.16a |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16a |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^4:\GL(2,3)$ |
$3888$ |
not computed |
$486$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.16b |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16b |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^2:\GL(2,3)$ |
$432$ |
not computed |
$4374$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.16c |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16c |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_3^2:\GL(2,3)$ |
$432$ |
not computed |
$4374$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.16d |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16d |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times C_3^2:\GL(2,3)$ |
$2592$ |
not computed |
$729$ |
not computed |
$729$ |
$2592$ |
$1$ |
| 1889568.pf.16e |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16e |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times C_3^2:\GL(2,3)$ |
$2592$ |
not computed |
$729$ |
not computed |
$729$ |
$2592$ |
$1$ |
| 1889568.pf.16f |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16f |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2\times C_3^4:\GL(2,3)$ |
$7776$ |
not computed |
$243$ |
not computed |
$486$ |
$3888$ |
$1$ |
| 1889568.pf.16g |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16g |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2\times C_3^2:\GL(2,3)$ |
$864$ |
not computed |
$2187$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.16h |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16h |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$C_2\times C_3^2:\GL(2,3)$ |
$864$ |
not computed |
$2187$ |
not computed |
$4374$ |
$432$ |
$1$ |
| 1889568.pf.16i |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16i |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times C_3^2:\GL(2,3)$ |
$2592$ |
not computed |
$729$ |
not computed |
$729$ |
$2592$ |
$1$ |
| 1889568.pf.16j |
$16$ |
R |
|
$1$ |
\(\Q\) |
1889568.pf.16j |
$C_3^4.C_3^4:(S_3\times \GL(2,3))$ |
$S_3\times C_3^2:\GL(2,3)$ |
$2592$ |
not computed |
$729$ |
not computed |
$729$ |
$2592$ |
$1$ |
