| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 32T1125 |
$C_2^3:C_4^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 2, $C_4\times C_2$, $D_4\times C_2$, $Q_8:C_2$, $C_2^3 : C_4 $ x 2, $C_4 \times D_4$, $C_2^4:C_4$, $C_2^3.C_2^3$ |
32T1125 x 7, 32T1288 x 2, 32T1290 x 2, 32T1296 x 2, 32T1297 x 2 |
| 32T1288 |
$C_2^3:C_4^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 3, $C_2^3: C_4$ x 2, $Q_8 : C_2$, $C_2^4:C_4$, $C_2^3.C_2^3$ |
32T1125 x 8, 32T1288, 32T1290 x 2, 32T1296 x 2, 32T1297 x 2 |
| 32T1290 |
$C_2^3:C_4^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$, $C_2^3: C_4$ x 2, $C_4\times C_2^2$, $C_2^4:C_4$, $C_2^3.C_2^3$ |
32T1125 x 8, 32T1288 x 2, 32T1290, 32T1296 x 2, 32T1297 x 2 |
| 32T1296 |
$C_2^3:C_4^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 3, $C_4$ x 6, $C_2^2$, $C_4\times C_2$ x 3, $C_2^3: C_4$ x 2, $C_4^2$, $C_2^4:C_4$, $C_2^3.C_2^3$ |
32T1125 x 8, 32T1288 x 2, 32T1290 x 2, 32T1296, 32T1297 x 2 |
| 32T1297 |
$C_2^3:C_4^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $Q_8:C_2$ x 2, $C_2^3: C_4$ x 2, $C_4^2:C_2$, $C_2^4:C_4$, $C_2^3.C_2^3$ |
32T1125 x 8, 32T1288 x 2, 32T1290 x 2, 32T1296 x 2, 32T1297 |
Results are complete for degrees $\leq 23$.
