| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 24T5377 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$C_2$, $S_3$, $S_3$, $S_4$, $S_4$, $S_4$ |
24T5377 x 3, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T5384 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$C_2$, $S_3$, $S_3$, $S_4$, $S_4$, $S_4$ |
24T5377 x 4, 24T5384 x 3, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T5435 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 3, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T5444 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 3, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T5591 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$C_2$, $S_3$, $S_3$, $S_4\times C_2$ x 2, $C_2\times S_4$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 3, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T5593 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$C_2$, $S_3$, $S_3$, $S_4\times C_2$ x 2, $C_2\times S_4$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 3, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T5731 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$C_2$, $S_3$, $D_{6}$, $S_4\times C_2$ x 2, $C_2^2\times S_4$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 3, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T5744 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$C_2$, $S_3$, $D_{6}$, $S_4\times C_2$ x 2, $C_2^2\times S_4$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 3, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T6285 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$S_3$, $S_4$, $S_4\times C_2$ x 2, $C_2^3:S_4$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 3, 24T6428 x 4, 24T6790 x 4, 24T6812 x 4 |
| 24T6428 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$S_3$, $S_4$, $S_4\times C_2$ x 2, $C_2^3:S_4$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 3, 24T6790 x 4, 24T6812 x 4 |
| 24T6790 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$S_3$, $S_4\times C_2$ x 3, $C_2^2\wr S_3$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 3, 24T6812 x 4 |
| 24T6812 |
$C_2^7:S_4$ |
$3072$ |
$1$ |
✓ |
$-1$ |
$62$ |
$S_3$, $S_4\times C_2$ x 3, $C_2^2\wr S_3$ |
24T5377 x 4, 24T5384 x 4, 24T5435 x 4, 24T5444 x 4, 24T5591 x 4, 24T5593 x 4, 24T5731 x 4, 24T5744 x 4, 24T6285 x 4, 24T6428 x 4, 24T6790 x 4, 24T6812 x 3 |
Results are complete for degrees $\leq 23$.
