| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 16T234 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$ |
16T234, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 16T250 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$ |
16T234 x 2, 16T250, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 16T297 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T234 x 2, 16T250 x 2, 16T297 x 3, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 16T310 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$ |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 32T524 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4$ x 2, $C_2^2:C_4$ x 2, $C_2^2 : C_4$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 32T525 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_2^4.D_4$ x 2 |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 32T526 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 32T569 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $D_4\times C_2$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 32T570 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_2^4.D_4$ x 2 |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 32T689 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $C_2^3 : C_4 $, $C_2^3: C_4$, $C_2^3:C_4$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 3, 32T690 x 4, 32T718 x 2, 32T719 |
| 32T690 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $C_2^3 : C_4 $ x 2, $C_2^4:C_4$, $C_2^4.D_4$ x 2 |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 3, 32T718 x 2, 32T719 |
| 32T718 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $C_2^3 : C_4 $, $C_2^3: C_4$, $C_2^3:C_4$, $C_2^4.D_4$ |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718, 32T719 |
| 32T719 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4$ x 2, $C_2^2:C_4$ x 2, $C_2^2 : C_4$, $C_2^4.D_4$ x 2 |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526 x 2, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2 |
Results are complete for degrees $\leq 23$.
