| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 16T344 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$20$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$ |
16T344 x 3, 16T380 x 2, 32T786 x 2, 32T787 x 2, 32T788 x 2, 32T861 x 2, 32T1572 x 2, 32T1696 x 2 |
| 16T380 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$20$ |
$C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ |
16T344 x 4, 16T380, 32T786 x 2, 32T787 x 2, 32T788 x 2, 32T861 x 2, 32T1572 x 2, 32T1696 x 2 |
| 32T786 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$20$ |
$C_2$ 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, $D_4\times C_2$, $C_4^2.D_4$ x 2 |
16T344 x 4, 16T380 x 2, 32T786, 32T787 x 2, 32T788 x 2, 32T861 x 2, 32T1572 x 2, 32T1696 x 2 |
| 32T787 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$20$ |
$C_2$ 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, $C_2^2\wr C_2$, $C_4^2.D_4$ x 2, $C_4^2.D_4$ |
16T344 x 4, 16T380 x 2, 32T786 x 2, 32T787, 32T788 x 2, 32T861 x 2, 32T1572 x 2, 32T1696 x 2 |
| 32T788 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$20$ |
$C_2$ 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, $C_2^2\wr C_2$, $C_4^2.D_4$ x 2 |
16T344 x 4, 16T380 x 2, 32T786 x 2, 32T787 x 2, 32T788, 32T861 x 2, 32T1572 x 2, 32T1696 x 2 |
| 32T861 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$20$ |
$C_2$ 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, $C_2^2\wr C_2$, $C_4^2.D_4$ x 2 |
16T344 x 4, 16T380 x 2, 32T786 x 2, 32T787 x 2, 32T788 x 2, 32T861, 32T1572 x 2, 32T1696 x 2 |
| 32T1572 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$20$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2\wr C_2^2$ |
16T344 x 4, 16T380 x 2, 32T786 x 2, 32T787 x 2, 32T788 x 2, 32T861 x 2, 32T1572, 32T1696 x 2 |
| 32T1696 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$20$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$, $C_2\wr C_2^2$ |
16T344 x 4, 16T380 x 2, 32T786 x 2, 32T787 x 2, 32T788 x 2, 32T861 x 2, 32T1572 x 2, 32T1696 |
Results are complete for degrees $\leq 23$.
