| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 20T250 |
$C_4^4:C_{10}$ |
$2560$ |
$1$ |
✓ |
$-1$ |
$112$ |
$C_5$, $C_2^4 : C_5$ |
20T250 x 23, 40T1933 x 24, 40T1938 x 48, 40T2032 x 12, 40T2127 x 96, 40T2171 x 48, 40T2204 x 24, 40T2239 x 24 |
| 40T1933 |
$C_4^4:C_{10}$ |
$2560$ |
$1$ |
✓ |
$-1$ |
$112$ |
$C_5$, $C_2^4 : C_5$ x 2, $C_2^4:C_5$, $C_4^4:C_{10}$ x 2 |
20T250 x 24, 40T1933 x 23, 40T1938 x 48, 40T2032 x 12, 40T2127 x 96, 40T2171 x 48, 40T2204 x 24, 40T2239 x 24 |
| 40T1938 |
$C_4^4:C_{10}$ |
$2560$ |
$1$ |
✓ |
$-1$ |
$112$ |
$C_5$, $C_2^4 : C_5$ x 2, $C_2^4:C_5$, $C_4^4:C_{10}$ x 2 |
20T250 x 24, 40T1933 x 24, 40T1938 x 47, 40T2032 x 12, 40T2127 x 96, 40T2171 x 48, 40T2204 x 24, 40T2239 x 24 |
| 40T2032 |
$C_4^4:C_{10}$ |
$2560$ |
$1$ |
✓ |
$-1$ |
$112$ |
$C_5$, $C_2^4 : C_5$ x 3, $C_2^4:C_5$, $C_4^4:C_{10}$ x 2 |
20T250 x 24, 40T1933 x 24, 40T1938 x 48, 40T2032 x 11, 40T2127 x 96, 40T2171 x 48, 40T2204 x 24, 40T2239 x 24 |
| 40T2127 |
$C_4^4:C_{10}$ |
$2560$ |
$1$ |
✓ |
$-1$ |
$112$ |
$C_5$, $C_2^4 : C_5$, $C_2 \times (C_2^4 : C_5)$ x 2, $C_2\wr C_5$, $C_4^4:C_5$, $C_4^4:C_{10}$ |
20T250 x 24, 40T1933 x 24, 40T1938 x 48, 40T2032 x 12, 40T2127 x 95, 40T2171 x 48, 40T2204 x 24, 40T2239 x 24 |
| 40T2171 |
$C_4^4:C_{10}$ |
$2560$ |
$1$ |
✓ |
$-1$ |
$112$ |
$C_5$, $C_2^4 : C_5$, $C_2 \times (C_2^4 : C_5)$, $C_2\wr C_5$, $C_4^4:C_5$, $C_4^4:C_{10}$ |
20T250 x 24, 40T1933 x 24, 40T1938 x 48, 40T2032 x 12, 40T2127 x 96, 40T2171 x 47, 40T2204 x 24, 40T2239 x 24 |
| 40T2204 |
$C_4^4:C_{10}$ |
$2560$ |
$1$ |
✓ |
$-1$ |
$112$ |
$C_2$, $C_5$, $C_{10}$, $C_2^4 : C_5$, $C_2 \times (C_2^4 : C_5)$, $C_2\wr C_5$, $C_4^4:C_5$, $C_4^4:C_{10}$ |
20T250 x 24, 40T1933 x 24, 40T1938 x 48, 40T2032 x 12, 40T2127 x 96, 40T2171 x 48, 40T2204 x 23, 40T2239 x 24 |
| 40T2239 |
$C_4^4:C_{10}$ |
$2560$ |
$1$ |
✓ |
$-1$ |
$112$ |
$C_5$, $C_2^4 : C_5$, $C_2 \times (C_2^4 : C_5)$ x 2, $C_2\wr C_5$, $C_4^4:C_5$, $C_4^4:C_{10}$ |
20T250 x 24, 40T1933 x 24, 40T1938 x 48, 40T2032 x 12, 40T2127 x 96, 40T2171 x 48, 40T2204 x 24, 40T2239 x 23 |
Results are complete for degrees $\leq 23$.
