Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
32T780 |
$C_4^2:D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$17$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2\wr C_2^2$, $C_4^2:D_4$, $C_4^2:D_4$ |
16T336, 16T340, 16T341 x 2, 16T352, 16T359, 16T366, 16T402, 32T767, 32T768, 32T769, 32T777, 32T778, 32T779, 32T780, 32T781, 32T807, 32T808, 32T820, 32T821, 32T894, 32T1569, 32T1694 |
32T834 |
$C_4^2:D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$17$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2\wr C_2^2$, $C_4^2:D_4$, $C_4^2:D_4$ |
16T342 x 2, 16T365 x 4, 16T381, 16T386, 16T394 x 2, 32T782 x 2, 32T783 x 2, 32T784 x 2, 32T833 x 2, 32T834 x 3, 32T835 x 2, 32T862, 32T871 x 2, 32T881 x 2 |
32T881 |
$C_4^2:D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$17$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2\wr C_2^2$, $C_4^2:D_4$ |
16T342 x 2, 16T365 x 4, 16T381, 16T386, 16T394 x 2, 32T782 x 2, 32T783 x 2, 32T784 x 2, 32T833 x 2, 32T834 x 4, 32T835 x 2, 32T862, 32T871 x 2, 32T881 |
32T894 |
$C_4^2:D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$17$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2\wr C_2^2$, $C_4^2:D_4$ |
16T336, 16T340, 16T341 x 2, 16T352, 16T359, 16T366, 16T402, 32T767, 32T768, 32T769, 32T777, 32T778, 32T779, 32T780 x 2, 32T781, 32T807, 32T808, 32T820, 32T821, 32T1569, 32T1694 |
32T9322 |
$C_4^2:S_4$ |
$384$ |
$1$ |
✓ |
$-1$ |
$12$ |
$C_2$, $S_4$, $S_4$ |
16T776 x 4, 24T981 x 2, 24T985 x 2, 24T1055, 24T1058, 24T1060, 24T1063, 32T9322, 32T9374 x 4 |
32T9374 |
$C_4^2:S_4$ |
$384$ |
$1$ |
✓ |
$-1$ |
$12$ |
$C_2$, $S_4$, $S_4$, $C_4^2:S_4$ |
16T776 x 4, 24T981 x 2, 24T985 x 2, 24T1055, 24T1058, 24T1060, 24T1063, 32T9322 x 2, 32T9374 x 3 |
Results are complete for degrees $\leq 23$.