| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 9T24 |
$((C_3^3:C_3):C_2):C_2$ |
$324$ |
$-1$ |
✓ |
$-1$ |
$17$ |
$S_3$ |
9T24 x 2, 18T129 x 3, 18T136 x 3, 18T137 x 3, 27T121, 27T128 x 3, 27T129, 36T502 x 3 |
| 9T25 |
$((C_3 \times (C_3^2 : C_2)) : C_2) : C_3$ |
$324$ |
$1$ |
✓ |
$-1$ |
$13$ |
$C_3$ |
12T132 x 2, 12T133, 18T141 x 2, 18T142, 18T143, 27T130, 27T131, 36T511, 36T512, 36T524, 36T546 x 2, 36T547 |
| 9T26 |
$((C_3^2:Q_8):C_3):C_2$ |
$432$ |
$-1$ |
✓ |
$-1$ |
$11$ |
|
12T157, 18T157, 24T1325, 24T1326, 24T1327, 24T1334, 27T139, 36T689, 36T709 |
| 9T27 |
$\PSL(2,8)$ |
$504$ |
$1$ |
|
$-1$ |
$9$ |
|
28T70, 36T712 |
| 10T23 |
$C_2\times (C_2^4 : D_5)$ |
$320$ |
$-1$ |
✓ |
$-1$ |
$20$ |
$D_{5}$ |
10T23 x 5, 20T71 x 6, 20T73 x 6, 20T76 x 6, 20T81 x 3, 20T85 x 6, 20T87 x 6, 32T9313 x 2, 40T204 x 3, 40T270 x 12, 40T271 x 12, 40T272 x 3, 40T273 x 2, 40T284 x 6, 40T286 x 6, 40T288 x 3, 40T293 x 3, 40T295 x 6 |
| 10T24 |
$(C_2^4 : C_5):C_4$ |
$320$ |
$1$ |
✓ |
$-1$ |
$11$ |
$F_5$ |
10T25, 16T711, 20T77, 20T78, 20T79, 20T80, 20T83, 20T88, 32T9312, 40T206, 40T207, 40T296, 40T297, 40T298, 40T299, 40T300, 40T301, 40T302, 40T303 |
| 10T25 |
$(C_2^4 : C_5):C_4$ |
$320$ |
$-1$ |
✓ |
$-1$ |
$11$ |
$F_5$ |
10T24, 16T711, 20T77, 20T78, 20T79, 20T80, 20T83, 20T88, 32T9312, 40T206, 40T207, 40T296, 40T297, 40T298, 40T299, 40T300, 40T301, 40T302, 40T303 |
| 10T26 |
$\PSL(2,9)$ |
$360$ |
$1$ |
|
$-1$ |
$7$ |
|
6T15 x 2, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304, 45T49 |
| 10T27 |
$(D_5 \wr C_2):C_2$ |
$400$ |
$-1$ |
✓ |
$-1$ |
$16$ |
$C_2$ |
10T27 x 2, 20T90 x 3, 20T96 x 3, 20T97 x 3, 25T30, 40T393 x 3, 40T394 x 3, 40T395 x 3 |
| 10T28 |
$(C_5^2 : C_8):C_2$ |
$400$ |
$1$ |
✓ |
$-1$ |
$13$ |
$C_2$ |
20T104, 20T107, 20T109, 20T115, 25T31, 40T397, 40T398, 40T399, 40T400 |
Results are complete for degrees $\leq 23$.
