| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 9T27 |
$\PSL(2,8)$ |
$504$ |
$1$ |
|
$-1$ |
$9$ |
|
28T70, 36T712 |
| 9T32 |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ |
$1512$ |
$1$ |
|
$-1$ |
$11$ |
|
27T391, 28T165, 36T2342 |
| 9T33 |
$A_9$ |
$181440$ |
$1$ |
|
$-1$ |
$18$ |
|
36T23796 |
| 9T34 |
$S_9$ |
$362880$ |
$-1$ |
|
$-1$ |
$30$ |
|
18T887, 36T28590 |
| 10T7 |
$A_{5}$ |
$60$ |
$1$ |
|
$-1$ |
$5$ |
|
5T4, 6T12, 12T33, 15T5, 20T15, 30T9 |
| 10T11 |
$A_5\times C_2$ |
$120$ |
$-1$ |
|
$-1$ |
$10$ |
$C_2$, $A_5$ |
12T75, 12T76, 20T31, 20T36, 24T203, 30T29, 30T30, 40T61 |
| 10T12 |
$S_5$ |
$120$ |
$-1$ |
|
$-1$ |
$7$ |
$C_2$, $S_5$ |
5T5, 6T14, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62 |
| 10T13 |
$S_5$ |
$120$ |
$-1$ |
|
$-1$ |
$7$ |
|
5T5, 6T14, 10T12, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62 |
| 10T22 |
$S_5\times C_2$ |
$240$ |
$-1$ |
|
$-1$ |
$14$ |
$C_2$, $S_5$ |
10T22, 12T123 x 2, 20T62 x 2, 20T65 x 2, 20T70, 24T570, 24T577, 30T58 x 2, 30T60 x 2, 40T173 x 2, 40T180, 40T181, 40T187 x 2 |
| 10T26 |
$\PSL(2,9)$ |
$360$ |
$1$ |
|
$-1$ |
$7$ |
|
6T15 x 2, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304, 45T49 |
| 10T30 |
$\PGL(2,9)$ |
$720$ |
$-1$ |
|
$-1$ |
$11$ |
|
12T182, 20T146, 30T171, 36T1254, 40T590, 45T110 |
| 10T31 |
$M_{10}$ |
$720$ |
$1$ |
|
$-1$ |
$8$ |
|
12T181, 20T148, 20T150 x 2, 30T162, 36T1253, 40T591, 45T109 |
| 10T32 |
$S_{6}$ |
$720$ |
$-1$ |
|
$-1$ |
$11$ |
|
6T16 x 2, 12T183 x 2, 15T28 x 2, 20T145, 20T149 x 2, 30T164 x 2, 30T166 x 2, 30T176 x 2, 36T1252, 40T589, 40T592 x 2, 45T96 |
| 10T34 |
$C_2^4 : A_5$ |
$960$ |
$1$ |
|
$-1$ |
$12$ |
$A_5$ |
16T1081, 20T172, 20T177, 30T214, 30T217, 40T888, 40T889, 40T932, 40T942, 40T944, 40T945 |
| 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 |
| 10T39 |
$C_2 \wr S_5$ |
$3840$ |
$-1$ |
|
$-1$ |
$36$ |
$S_5$ |
10T39, 20T275, 20T279 x 2, 20T285 x 2, 20T288 x 2, 20T289 x 2, 30T517 x 2, 30T524 x 2, 32T206825 x 2, 40T2728 x 2, 40T2731 x 2, 40T2748, 40T2749, 40T2757 x 2, 40T2771 x 2, 40T2772 x 2, 40T2773 x 2, 40T2774 x 2, 40T2779 x 2, 40T2780 x 2, 40T2781 x 2, 40T2782 x 2, 40T2798, 40T2839 x 2 |
| 10T40 |
$A_5 \wr C_2$ |
$7200$ |
$-1$ |
|
$-1$ |
$20$ |
$C_2$ |
12T269, 20T363, 24T9631, 25T88, 30T652, 36T7075, 40T5410 |
| 10T41 |
$(A_5^2 : C_2):C_2$ |
$14400$ |
$-1$ |
|
$-1$ |
$25$ |
$C_2$ |
12T279, 20T456, 20T459, 24T12117, 25T101, 30T819, 36T9862, 40T10506, 40T10507, 40T10508 |
| 10T42 |
$A_5^2 : C_4$ |
$14400$ |
$1$ |
|
$-1$ |
$22$ |
$C_2$ |
12T278, 20T457, 20T461, 24T12116, 25T100, 30T817, 36T9861, 40T10509, 40T10510, 40T10511 |
| 10T43 |
$S_5^2 \wr C_2$ |
$28800$ |
$-1$ |
|
$-1$ |
$35$ |
$C_2$ |
12T288, 20T539, 20T540, 20T542, 20T544, 24T13996, 24T13997, 24T13998, 25T106, 30T1011, 36T13308, 40T14374, 40T14375, 40T14376, 40T14377, 40T14378, 40T14379, 40T14380, 40T14381 |
| 10T44 |
$A_{10}$ |
$1814400$ |
$1$ |
|
$-1$ |
$24$ |
|
45T1982 |
| 10T45 |
$S_{10}$ |
$3628800$ |
$-1$ |
|
$-1$ |
$42$ |
|
20T1007, 45T2246 |
| 11T5 |
$\PSL(2,11)$ |
$660$ |
$1$ |
|
$-1$ |
$8$ |
|
11T5, 12T179 |
| 11T6 |
$M_{11}$ |
$7920$ |
$1$ |
|
$-1$ |
$10$ |
|
12T272, 22T22 |
| 11T7 |
$A_{11}$ |
$19958400$ |
$1$ |
|
$-1$ |
$31$ |
|
|
| 11T8 |
$S_{11}$ |
$39916800$ |
$-1$ |
|
$-1$ |
$56$ |
|
22T45 |
Results are complete for degrees $\leq 23$.
