Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
9T19 |
$(C_3^2:C_8):C_2$ |
$144$ |
$-1$ |
✓ |
$-1$ |
$9$ |
|
12T84, 18T68, 18T71, 18T73, 24T278, 24T279, 24T280, 36T171, 36T172, 36T175 |
12T84 |
$F_9:C_2$ |
$144$ |
$1$ |
✓ |
$-1$ |
$9$ |
$C_2$, $D_{4}$ |
9T19, 18T68, 18T71, 18T73, 24T278, 24T279, 24T280, 36T171, 36T172, 36T175 |
18T68 |
$F_9:C_2$ |
$144$ |
$-1$ |
✓ |
$-1$ |
$9$ |
$C_2$, $(C_3^2:C_8):C_2$ |
9T19, 12T84, 18T71, 18T73, 24T278, 24T279, 24T280, 36T171, 36T172, 36T175 |
18T71 |
$F_9:C_2$ |
$144$ |
$-1$ |
✓ |
$-1$ |
$9$ |
$C_2$, $(C_3^2:C_8):C_2$ |
9T19, 12T84, 18T68, 18T73, 24T278, 24T279, 24T280, 36T171, 36T172, 36T175 |
18T73 |
$F_9:C_2$ |
$144$ |
$-1$ |
✓ |
$-1$ |
$9$ |
$C_2$, $(C_3^2:C_8):C_2$ |
9T19, 12T84, 18T68, 18T71, 24T278, 24T279, 24T280, 36T171, 36T172, 36T175 |
24T278 |
$F_9:C_2$ |
$144$ |
$1$ |
✓ |
$-1$ |
$9$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $F_9:C_2$ |
9T19, 12T84, 18T68, 18T71, 18T73, 24T279, 24T280, 36T171, 36T172, 36T175 |
24T279 |
$F_9:C_2$ |
$144$ |
$-1$ |
✓ |
$-1$ |
$9$ |
$C_2$, $D_{4}$, $QD_{16}$, $F_9:C_2$ |
9T19, 12T84, 18T68, 18T71, 18T73, 24T278, 24T280, 36T171, 36T172, 36T175 |
24T280 |
$F_9:C_2$ |
$144$ |
$-1$ |
✓ |
$-1$ |
$9$ |
$C_2$, $D_{4}$, $QD_{16}$, $F_9:C_2$ |
9T19, 12T84, 18T68, 18T71, 18T73, 24T278, 24T279, 36T171, 36T172, 36T175 |
36T171 |
$F_9:C_2$ |
$144$ |
$-1$ |
✓ |
$-1$ |
$9$ |
$C_2$, $D_{4}$, $(C_3^2:C_8):C_2$, $F_9:C_2$ |
9T19, 12T84, 18T68, 18T71, 18T73, 24T278, 24T279, 24T280, 36T172, 36T175 |
36T172 |
$F_9:C_2$ |
$144$ |
$1$ |
✓ |
$-1$ |
$9$ |
$C_2$ x 3, $C_2^2$, $(C_3^2:C_8):C_2$, $F_9:C_2$, $F_9:C_2$, $F_9:C_2$ |
9T19, 12T84, 18T68, 18T71, 18T73, 24T278, 24T279, 24T280, 36T171, 36T175 |
36T175 |
$F_9:C_2$ |
$144$ |
$-1$ |
✓ |
$-1$ |
$9$ |
$C_2$, $D_{4}$, $(C_3^2:C_8):C_2$, $F_9:C_2$, $F_9:C_2$ |
9T19, 12T84, 18T68, 18T71, 18T73, 24T278, 24T279, 24T280, 36T171, 36T172 |
Results are complete for degrees $\leq 23$.