Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
24T40 |
$C_3\times D_8$ |
$48$ |
$-1$ |
✓ |
$3$ |
$21$ |
$C_2$, $C_3$, $D_{4}$, $C_6$, $D_{8}$, $D_4 \times C_3$ |
24T40 |
24T41 |
$C_3\times \SD_{16}$ |
$48$ |
$-1$ |
✓ |
$3$ |
$21$ |
$C_2$, $C_3$, $D_{4}$, $C_6$, $QD_{16}$, $D_4 \times C_3$ |
|
24T90 |
$\OD_{16}:C_6$ |
$96$ |
$-1$ |
✓ |
$3$ |
$33$ |
$C_2$, $C_3$, $C_4$, $C_6$, $(C_8:C_2):C_2$, $C_{12}$ |
24T90 |
24T91 |
$C_2^3:C_{12}$ |
$96$ |
$1$ |
✓ |
$3$ |
$33$ |
$C_2$, $C_3$, $C_4$, $C_6$, $C_2^3: C_4$, $C_{12}$ |
24T93, 24T115 x 2 |
24T93 |
$C_2^3:C_{12}$ |
$96$ |
$-1$ |
✓ |
$3$ |
$33$ |
$C_2$ x 3, $C_3$, $C_2^2$, $C_6$ x 3, $C_2^3: C_4$, $C_6\times C_2$ |
24T91, 24T115 x 2 |
24T113 |
$D_4:C_{12}$ |
$96$ |
$-1$ |
✓ |
$3$ |
$42$ |
$C_2$, $C_3$, $D_{4}$, $C_6$, $C_4\wr C_2$, $D_4 \times C_3$ |
24T113 |
24T114 |
$D_8:C_6$ |
$96$ |
$-1$ |
✓ |
$3$ |
$33$ |
$C_2$, $C_3$, $D_{4}$, $C_6$, $Z_8 : Z_8^\times$, $D_4 \times C_3$ |
24T114 |
24T115 |
$C_2^3:C_{12}$ |
$96$ |
$1$ |
✓ |
$3$ |
$33$ |
$C_2$, $C_3$, $D_{4}$, $C_6$, $C_2^3 : C_4 $, $D_4 \times C_3$ |
24T91, 24T93, 24T115 |
24T286 |
$C_3\times C_2\wr C_2^2$ |
$192$ |
$-1$ |
✓ |
$3$ |
$48$ |
$C_2$ x 3, $C_3$, $C_2^2$, $C_6$ x 3, $(((C_4 \times C_2): C_2):C_2):C_2$, $C_6\times C_2$ |
24T286, 24T352 x 6 |
24T350 |
$C_3\times D_4:D_4$ |
$192$ |
$-1$ |
✓ |
$3$ |
$48$ |
$C_2$, $C_3$, $D_{4}$, $C_6$, $(C_4^2 : C_2):C_2$, $D_4 \times C_3$ |
24T350 x 3 |
24T352 |
$C_3\times C_2\wr C_2^2$ |
$192$ |
$1$ |
✓ |
$3$ |
$48$ |
$C_2$, $C_3$, $D_{4}$, $C_6$, $(((C_4 \times C_2): C_2):C_2):C_2$, $D_4 \times C_3$ |
24T286 x 2, 24T352 x 5 |
Results are complete for degrees $\leq 23$.