| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 32T7191 |
$(C_4\times C_8).D_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2\wr C_2^2$ |
32T7192, 32T7330, 32T7334, 32T7354 |
| 32T7192 |
$(C_4\times C_8).D_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2\wr C_2^2$ |
32T7191, 32T7330, 32T7334, 32T7354 |
| 32T7330 |
$(C_4\times C_8).D_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$, $C_2\wr C_2^2$ |
32T7191, 32T7192, 32T7334, 32T7354 |
| 32T7334 |
$(C_4\times C_8).D_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$, $C_2\wr C_2^2$ |
32T7191, 32T7192, 32T7330, 32T7354 |
| 32T7354 |
$(C_4\times C_8).D_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2\wr C_2^2$ |
32T7191, 32T7192, 32T7330, 32T7334 |
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Results are complete for degrees $\leq 23$.
