| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 32T1107 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^3 : C_4 $ x 4, $C_2^2 \times D_4$, $C_2^4:C_4$ x 6 |
32T1107 x 7, 32T1144 x 3, 32T1145 x 6, 32T1282, 32T1283 x 6, 32T1293 x 12, 32T1295 x 4 |
| 32T1144 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ 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 4, $C_4\times C_2^2$, $C_2^4:C_4$ x 4, $C_2^4:C_4$ x 2 |
32T1107 x 8, 32T1144 x 2, 32T1145 x 6, 32T1282, 32T1283 x 6, 32T1293 x 12, 32T1295 x 4 |
| 32T1145 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ 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, $C_2^3: C_4$ x 4, $C_2^2 : C_4$, $C_2^4:C_4$ x 2, $C_2^4:C_4$ x 4 |
32T1107 x 8, 32T1144 x 3, 32T1145 x 5, 32T1282, 32T1283 x 6, 32T1293 x 12, 32T1295 x 4 |
| 32T1282 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 15, $C_2^2$ x 35, $C_2^3$ x 15, $C_2^3: C_4$ x 4, $C_2^4$, $C_2^4:C_4$ x 6 |
32T1107 x 8, 32T1144 x 3, 32T1145 x 6, 32T1283 x 6, 32T1293 x 12, 32T1295 x 4 |
| 32T1283 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ 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, $C_2^3: C_4$ x 4, $D_4\times C_2$, $C_2^4:C_4$ x 2, $C_2^4:C_4$ x 4 |
32T1107 x 8, 32T1144 x 3, 32T1145 x 6, 32T1282, 32T1283 x 5, 32T1293 x 12, 32T1295 x 4 |
| 32T1293 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ 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, $C_2^3: C_4$ x 4, $C_2 \times (C_2^2:C_4)$, $C_2^4:C_4$ x 4, $C_2^4:C_4$ x 2 |
32T1107 x 8, 32T1144 x 3, 32T1145 x 6, 32T1282, 32T1283 x 6, 32T1293 x 11, 32T1295 x 4 |
| 32T1295 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ 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 4, $C_4\times C_2^2$, $C_2^4:C_4$ x 6 |
32T1107 x 8, 32T1144 x 3, 32T1145 x 6, 32T1282, 32T1283 x 6, 32T1293 x 12, 32T1295 x 3 |
Results are complete for degrees $\leq 23$.
