| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 9T31 |
$S_3\wr S_3$ |
$1296$ |
$-1$ |
✓ |
$-1$ |
$22$ |
$S_3$ |
12T213, 18T300, 18T303, 18T311, 18T312, 18T314, 18T315, 18T319, 18T320, 24T2893, 24T2894, 24T2895, 24T2912, 27T296, 27T298, 36T2197, 36T2198, 36T2199, 36T2201, 36T2202, 36T2210, 36T2211, 36T2212, 36T2213, 36T2214, 36T2215, 36T2216, 36T2217, 36T2218, 36T2219, 36T2220, 36T2225, 36T2226, 36T2229, 36T2305 |
| 9T32 |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ |
$1512$ |
$1$ |
|
$-1$ |
$11$ |
|
27T391, 28T165, 36T2342 |
| 10T35 |
$(A_6 : C_2) : C_2$ |
$1440$ |
$-1$ |
|
$-1$ |
$13$ |
|
12T220, 20T201, 20T204, 20T208, 24T2960, 30T264, 36T2341, 40T1198, 40T1199, 40T1201, 45T187 |
| 10T36 |
$C_2 \wr A_5$ |
$1920$ |
$-1$ |
|
$-1$ |
$24$ |
$A_5$ |
20T224, 20T225, 20T230, 30T344, 30T354, 32T97741, 40T1576, 40T1578, 40T1585, 40T1586, 40T1597, 40T1598, 40T1644 |
| 10T37 |
$(C_2^4:A_5) : C_2$ |
$1920$ |
$1$ |
|
$-1$ |
$18$ |
$S_5$ |
10T38, 16T1328, 20T218, 20T219, 20T222, 20T223, 20T226, 30T329, 30T332, 30T333, 30T341, 32T97736, 40T1581, 40T1582, 40T1583, 40T1584, 40T1587, 40T1588, 40T1595, 40T1596, 40T1658, 40T1659, 40T1676, 40T1677, 40T1678 |
| 10T38 |
$(C_2^4:A_5) : C_2$ |
$1920$ |
$-1$ |
|
$-1$ |
$18$ |
$S_5$ |
10T37, 16T1328, 20T218, 20T219, 20T222, 20T223, 20T226, 30T329, 30T332, 30T333, 30T341, 32T97736, 40T1581, 40T1582, 40T1583, 40T1584, 40T1587, 40T1588, 40T1595, 40T1596, 40T1658, 40T1659, 40T1676, 40T1677, 40T1678 |
Results are complete for degrees $\leq 23$.
