| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 24T4534 |
$C_4^2.\GL(2,\mathbb{Z}/4)$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$33$ |
$S_3$, $S_4$, $C_2^2:S_4$ |
24T4534, 24T4537 x 2, 24T4554 x 2, 24T4563 x 2, 24T4740 x 4, 24T4745 x 4 |
| 24T4537 |
$C_4^2.\GL(2,\mathbb{Z}/4)$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$33$ |
$S_3$, $S_4$, $C_2^2:S_4$ |
24T4534 x 2, 24T4537, 24T4554 x 2, 24T4563 x 2, 24T4740 x 4, 24T4745 x 4 |
| 24T4554 |
$C_4^2.\GL(2,\mathbb{Z}/4)$ |
$1536$ |
$-1$ |
✓ |
$-1$ |
$33$ |
$S_3$, $S_4$, $S_4\times C_2$ x 2, $C_2^3:S_4$ |
24T4534 x 2, 24T4537 x 2, 24T4554, 24T4563 x 2, 24T4740 x 4, 24T4745 x 4 |
| 24T4563 |
$C_4^2.\GL(2,\mathbb{Z}/4)$ |
$1536$ |
$-1$ |
✓ |
$-1$ |
$33$ |
$S_3$, $S_4$, $S_4\times C_2$ x 2, $C_2^3:S_4$ |
24T4534 x 2, 24T4537 x 2, 24T4554 x 2, 24T4563, 24T4740 x 4, 24T4745 x 4 |
| 24T4740 |
$C_4^2.\GL(2,\mathbb{Z}/4)$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$33$ |
$S_3$, $S_4\times C_2$, $C_2\wr S_3$ |
24T4534 x 2, 24T4537 x 2, 24T4554 x 2, 24T4563 x 2, 24T4740 x 3, 24T4745 x 4 |
| 24T4745 |
$C_4^2.\GL(2,\mathbb{Z}/4)$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$33$ |
$S_3$, $S_4\times C_2$, $C_2\wr S_3$ |
24T4534 x 2, 24T4537 x 2, 24T4554 x 2, 24T4563 x 2, 24T4740 x 4, 24T4745 x 3 |
Results are complete for degrees $\leq 23$.
