| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 16T178 |
$C_2^4:C_5$ |
$80$ |
$1$ |
✓ |
$-1$ |
$8$ |
|
10T8 x 3, 20T17 x 6, 20T23, 40T57 x 3 |
| 16T415 |
$C_2^4:D_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$10$ |
|
10T15 x 3, 10T16 x 3, 20T38 x 6, 20T39, 20T43 x 3, 20T45 x 3, 32T2132, 40T143 x 3, 40T144 x 3, 40T145 x 6, 40T146 |
| 16T447 |
$F_{16}$ |
$240$ |
$1$ |
✓ |
$-1$ |
$16$ |
|
20T67, 30T50 |
| 16T708 |
$A_4\wr C_2$ |
$288$ |
$1$ |
✓ |
$-1$ |
$14$ |
|
8T42, 12T126, 12T128, 12T129, 18T112, 18T113, 24T692, 24T694, 24T695, 24T702, 24T703, 24T704, 32T9306, 36T316, 36T318, 36T456, 36T457, 36T458, 36T459 |
| 16T711 |
$C_2^4:F_5$ |
$320$ |
$1$ |
✓ |
$-1$ |
$11$ |
|
10T24, 10T25, 20T77, 20T78, 20T79, 20T80, 20T83, 20T88, 32T9312, 40T206, 40T207, 40T296, 40T297, 40T298, 40T299, 40T300, 40T301, 40T302, 40T303 |
| 16T777 |
$F_{16}:C_2$ |
$480$ |
$1$ |
✓ |
$-1$ |
$14$ |
|
20T122, 30T112, 30T116, 32T9550, 40T437 |
| 16T1030 |
$A_4^2:C_4$ |
$576$ |
$1$ |
✓ |
$-1$ |
$13$ |
|
8T46, 12T160, 12T162, 16T1031, 18T182, 18T184, 24T1489, 24T1491, 24T1505, 24T1506 x 2, 24T1508, 32T34594, 36T764, 36T765, 36T766, 36T767, 36T964, 36T965 |
| 16T1034 |
$\PGOPlus(4,3)$ |
$576$ |
$1$ |
✓ |
$-1$ |
$16$ |
|
8T45, 12T161, 12T163, 12T165 x 2, 16T1032, 18T179, 18T180, 18T185 x 2, 24T1490, 24T1492, 24T1493 x 2, 24T1494 x 2, 24T1495 x 2, 24T1503, 24T1504 x 2, 32T34597 x 2, 32T34598, 36T759, 36T760, 36T762, 36T763, 36T774 x 2, 36T775 x 2, 36T960, 36T961, 36T962 x 2, 36T963 x 2 |
| 16T1079 |
$F_{16}:C_4$ |
$960$ |
$1$ |
✓ |
$-1$ |
$13$ |
|
20T173, 30T203, 30T220, 32T35270, 40T933 |
| 16T1080 |
$C_2^4:A_5$ |
$960$ |
$1$ |
|
$-1$ |
$9$ |
|
16T1080 x 3, 20T175, 20T176 x 3, 30T210 x 3, 30T216, 40T943 x 3 |
| 16T1081 |
$C_2^4:A_5$ |
$960$ |
$1$ |
|
$-1$ |
$12$ |
|
10T34, 20T172, 20T177, 30T214, 30T217, 40T888, 40T889, 40T932, 40T942, 40T944, 40T945 |
| 16T1294 |
$S_4\wr C_2$ |
$1152$ |
$1$ |
✓ |
$-1$ |
$20$ |
|
8T47, 12T200, 12T201, 12T202, 12T203, 16T1292, 16T1295, 16T1296, 18T272, 18T273, 18T274, 18T275, 24T2803, 24T2804, 24T2805, 24T2806, 24T2807, 24T2808, 24T2809, 24T2810, 24T2821, 24T2826, 32T96692, 32T96694, 32T96695, 32T96696, 36T1758, 36T1759, 36T1760, 36T1761, 36T1762, 36T1763, 36T1764, 36T1765, 36T1766, 36T1767, 36T1768, 36T1769, 36T1943, 36T1944, 36T1945, 36T1946 |
| 16T1328 |
$C_2^4:S_5$ |
$1920$ |
$1$ |
|
$-1$ |
$18$ |
|
10T37, 10T38, 20T218, 20T219, 20T222, 20T223, 20T226, 30T329, 30T332, 30T333, 30T341, 32T97736, 40T1581, 40T1582, 40T1583, 40T1584, 40T1587, 40T1588, 40T1595, 40T1596, 40T1658, 40T1659, 40T1676, 40T1677, 40T1678 |
| 16T1329 |
$C_2^4:S_5$ |
$1920$ |
$1$ |
|
$-1$ |
$12$ |
|
16T1329, 20T217, 20T221, 30T338, 30T340, 30T343, 30T347, 32T97734, 32T97737 x 2, 40T1657, 40T1661, 40T1674, 40T1675 |
| 16T1508 |
$C_2^4:\GL(2,4)$ |
$2880$ |
$1$ |
|
$-1$ |
$19$ |
|
20T267, 30T401 |
| 16T1653 |
$\AGammaL(2,4)$ |
$5760$ |
$1$ |
|
$-1$ |
$17$ |
|
20T358, 30T576, 30T580, 32T397099, 40T5174 |
| 16T1654 |
$C_2^4:A_6$ |
$5760$ |
$1$ |
|
$-1$ |
$12$ |
|
16T1654, 30T579, 30T582 |
| 16T1753 |
$C_2^4:S_6$ |
$11520$ |
$1$ |
|
$-1$ |
$21$ |
|
16T1753, 30T739, 30T754, 30T760, 30T762, 32T720331 x 2 |
| 16T1840 |
$C_2^4:A_7$ |
$40320$ |
$1$ |
|
$-1$ |
$15$ |
|
30T1152 |
| 16T1906 |
$C_2^4.A_8$ |
$322560$ |
$1$ |
|
$-1$ |
$25$ |
|
30T1717 |
| 16T1953 |
$A_{16}$ |
$10461394944000$ |
$1$ |
|
$-1$ |
$123$ |
|
|
| 16T1954 |
$S_{16}$ |
$20922789888000$ |
$-1$ |
|
$-1$ |
$231$ |
|
32T2801205 |
Results are complete for degrees $\leq 23$.
