| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 32T6555 |
$C_2^4.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$4$ |
$34$ |
$C_2$, $C_4$, $D_{4}$ x 6, $C_2^2:C_4$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^4:C_4$ |
32T6555, 32T6557 x 2, 32T7453 x 4, 32T7789, 32T8577 x 4, 32T8780 x 4, 32T9262 x 2 |
| 32T6557 |
$C_2^4.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$4$ |
$34$ |
$C_2$, $C_4$, $D_{4}$ x 6, $C_2^2:C_4$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^4:C_4$ |
32T6555 x 2, 32T6557, 32T7453 x 4, 32T7789, 32T8577 x 4, 32T8780 x 4, 32T9262 x 2 |
| 32T7453 |
$C_2^4.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$4$ |
$34$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $C_2^3.C_2^3$ |
32T6555 x 2, 32T6557 x 2, 32T7453 x 3, 32T7789, 32T8577 x 4, 32T8780 x 4, 32T9262 x 2 |
| 32T7789 |
$C_2^4.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$4$ |
$34$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4\times C_2$ x 2, $C_2^2:C_4$ x 4, $C_2 \times (C_2^2:C_4)$ |
32T6555 x 2, 32T6557 x 2, 32T7453 x 4, 32T8577 x 4, 32T8780 x 4, 32T9262 x 2 |
| 32T8577 |
$C_2^4.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$4$ |
$34$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$ |
32T6555 x 2, 32T6557 x 2, 32T7453 x 4, 32T7789, 32T8577 x 3, 32T8780 x 4, 32T9262 x 2 |
| 32T8780 |
$C_2^4.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$4$ |
$34$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$ |
32T6555 x 2, 32T6557 x 2, 32T7453 x 4, 32T7789, 32T8577 x 4, 32T8780 x 3, 32T9262 x 2 |
| 32T9262 |
$C_2^4.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$4$ |
$34$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4$ x 2, $D_4\times C_2$ x 4, $D_4\times C_2$ |
32T6555 x 2, 32T6557 x 2, 32T7453 x 4, 32T7789, 32T8577 x 4, 32T8780 x 4, 32T9262 |
Results are complete for degrees $\leq 23$.
