| Label |
Degree |
Type |
Faithful |
Conductor |
Field of Traces |
$\Q$-character |
Group |
Image |
Image Order |
Kernel |
Kernel Order |
Center |
Center Order |
Center Index |
Schur Index |
| 40000.iu.1a |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1a |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_1$ |
$1$ |
not computed |
$40000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1b |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1b |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1c |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1c |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1d |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1d |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1e |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1e |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1f |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1f |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1g |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1g |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1h |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1h |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1i |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1i |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1j |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1j |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1k |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1k |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1l |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1l |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1m |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1m |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1n |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1n |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1o |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1o |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.1p |
$1$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.1p |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_2$ |
$2$ |
not computed |
$20000$ |
not computed |
$40000$ |
$1$ |
$1$ |
| 40000.iu.2a1 |
$2$ |
C |
|
$4$ |
\(\Q(\sqrt{-1}) \) |
40000.iu.2a |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$16$ |
not computed |
$2500$ |
not computed |
$10000$ |
$4$ |
$1$ |
| 40000.iu.2a2 |
$2$ |
C |
|
$4$ |
\(\Q(\sqrt{-1}) \) |
40000.iu.2a |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$16$ |
not computed |
$2500$ |
not computed |
$10000$ |
$4$ |
$1$ |
| 40000.iu.2b1 |
$2$ |
C |
|
$4$ |
\(\Q(\sqrt{-1}) \) |
40000.iu.2b |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$16$ |
not computed |
$2500$ |
not computed |
$10000$ |
$4$ |
$1$ |
| 40000.iu.2b2 |
$2$ |
C |
|
$4$ |
\(\Q(\sqrt{-1}) \) |
40000.iu.2b |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$16$ |
not computed |
$2500$ |
not computed |
$10000$ |
$4$ |
$1$ |
| 40000.iu.2c1 |
$2$ |
C |
|
$4$ |
\(\Q(\sqrt{-1}) \) |
40000.iu.2c |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$16$ |
not computed |
$2500$ |
not computed |
$10000$ |
$4$ |
$1$ |
| 40000.iu.2c2 |
$2$ |
C |
|
$4$ |
\(\Q(\sqrt{-1}) \) |
40000.iu.2c |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$16$ |
not computed |
$2500$ |
not computed |
$10000$ |
$4$ |
$1$ |
| 40000.iu.2d1 |
$2$ |
C |
|
$4$ |
\(\Q(\sqrt{-1}) \) |
40000.iu.2d |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$16$ |
not computed |
$2500$ |
not computed |
$10000$ |
$4$ |
$1$ |
| 40000.iu.2d2 |
$2$ |
C |
|
$4$ |
\(\Q(\sqrt{-1}) \) |
40000.iu.2d |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$16$ |
not computed |
$2500$ |
not computed |
$10000$ |
$4$ |
$1$ |
| 40000.iu.4a |
$4$ |
R |
|
$1$ |
\(\Q\) |
40000.iu.4a |
$(\SO(3,7)\times S_4^2).C_2^2$ |
|
$32$ |
not computed |
$1250$ |
not computed |
$2500$ |
$16$ |
$1$ |
| 40000.iu.8a1 |
$8$ |
R |
|
$5$ |
\(\Q(\sqrt{5}) \) |
40000.iu.8a |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_5:D_5^3:C_2^2$ |
$20000$ |
not computed |
$2$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8a2 |
$8$ |
R |
|
$5$ |
\(\Q(\sqrt{5}) \) |
40000.iu.8a |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$C_5:D_5^3:C_2^2$ |
$20000$ |
not computed |
$2$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8aa1 |
$8$ |
R |
✓ |
$5$ |
\(\Q(\sqrt{5}) \) |
40000.iu.8aa |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8aa2 |
$8$ |
R |
✓ |
$5$ |
\(\Q(\sqrt{5}) \) |
40000.iu.8aa |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ab1 |
$8$ |
R |
✓ |
$5$ |
\(\Q(\sqrt{5}) \) |
40000.iu.8ab |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ab2 |
$8$ |
R |
✓ |
$5$ |
\(\Q(\sqrt{5}) \) |
40000.iu.8ab |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ac1 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ac |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ac2 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ac |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ac3 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ac |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ac4 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ac |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ad1 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ad |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ad2 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ad |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ad3 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ad |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ad4 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ad |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ae1 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ae |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ae2 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ae |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ae3 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ae |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ae4 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ae |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8af1 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8af |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8af2 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8af |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8af3 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8af |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8af4 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8af |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ag1 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ag |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ag2 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ag |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
| 40000.iu.8ag3 |
$8$ |
C |
✓ |
$20$ |
\(\Q(i, \sqrt{5})\) |
40000.iu.8ag |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$(\SO(3,7)\times S_4^2).C_2^2$ |
$40000$ |
not computed |
$1$ |
not computed |
$2$ |
$20000$ |
$1$ |
