| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 24T2447 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $C_6$, $C_2^4:A_4$, $C_2\wr C_6$ x 2 |
24T2447 x 31, 24T2448 x 16, 24T2451 x 16, 24T2453 x 16, 24T2454 x 8, 24T2457 x 32, 24T2458 x 16, 24T2461 x 8, 24T2462 x 16, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2448 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $C_6$, $C_2^4:A_4$, $C_2\wr C_6$ x 2 |
24T2447 x 32, 24T2448 x 15, 24T2451 x 16, 24T2453 x 16, 24T2454 x 8, 24T2457 x 32, 24T2458 x 16, 24T2461 x 8, 24T2462 x 16, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2451 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $C_6$, $C_2^4:A_4$, $C_2\wr C_6$ x 2 |
24T2447 x 32, 24T2448 x 16, 24T2451 x 15, 24T2453 x 16, 24T2454 x 8, 24T2457 x 32, 24T2458 x 16, 24T2461 x 8, 24T2462 x 16, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2453 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $D_{4}$, $C_6$, $D_4 \times C_3$, $C_2^4:A_4$, $C_2\wr C_6$ |
24T2447 x 32, 24T2448 x 16, 24T2451 x 16, 24T2453 x 15, 24T2454 x 8, 24T2457 x 32, 24T2458 x 16, 24T2461 x 8, 24T2462 x 16, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2454 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$ x 3, $C_3$, $C_2^2$, $C_6$ x 3, $C_6\times C_2$, $C_2\wr C_6$ x 2 |
24T2447 x 32, 24T2448 x 16, 24T2451 x 16, 24T2453 x 16, 24T2454 x 7, 24T2457 x 32, 24T2458 x 16, 24T2461 x 8, 24T2462 x 16, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2457 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $C_6$, $D_4\times A_4$, $C_2^4:A_4$, $C_2\wr C_6$ |
24T2447 x 32, 24T2448 x 16, 24T2451 x 16, 24T2453 x 16, 24T2454 x 8, 24T2457 x 31, 24T2458 x 16, 24T2461 x 8, 24T2462 x 16, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2458 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $C_6$, $A_4\times C_2$ x 2, $C_2^2 \times A_4$, $C_2\wr C_6$ x 2 |
24T2447 x 32, 24T2448 x 16, 24T2451 x 16, 24T2453 x 16, 24T2454 x 8, 24T2457 x 32, 24T2458 x 15, 24T2461 x 8, 24T2462 x 16, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2461 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $C_6$, $A_4\times C_2$ x 2, $C_2^2 \times A_4$, $C_2\wr C_6$ x 2 |
24T2447 x 32, 24T2448 x 16, 24T2451 x 16, 24T2453 x 16, 24T2454 x 8, 24T2457 x 32, 24T2458 x 16, 24T2461 x 7, 24T2462 x 16, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2462 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $C_6$, $D_4\times A_4$, $C_2^4:A_4$, $C_2\wr C_6$ |
24T2447 x 32, 24T2448 x 16, 24T2451 x 16, 24T2453 x 16, 24T2454 x 8, 24T2457 x 32, 24T2458 x 16, 24T2461 x 8, 24T2462 x 15, 24T2504 x 16, 24T2505 x 16, 32T34747 x 8 |
| 24T2504 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_3$, $A_4\times C_2$ x 3, $C_2^2 \times A_4$, $C_2\wr C_6$ x 2 |
24T2447 x 32, 24T2448 x 16, 24T2451 x 16, 24T2453 x 16, 24T2454 x 8, 24T2457 x 32, 24T2458 x 16, 24T2461 x 8, 24T2462 x 16, 24T2504 x 15, 24T2505 x 16, 32T34747 x 8 |
| 24T2505 |
$C_2^7:C_6$ |
$768$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $C_3$, $C_6$, $A_4\times C_2$ x 2, $C_2^2 \times A_4$, $C_2\wr C_6$ x 2 |
24T2447 x 32, 24T2448 x 16, 24T2451 x 16, 24T2453 x 16, 24T2454 x 8, 24T2457 x 32, 24T2458 x 16, 24T2461 x 8, 24T2462 x 16, 24T2504 x 16, 24T2505 x 15, 32T34747 x 8 |
Results are complete for degrees $\leq 23$.
