| 3.9.0.1 |
x9 - x3 + x2 + 1 |
3 |
1 |
9 |
0 |
$C_9$ (as 9T1) |
$ [\ ]^{9}$ |
| 3.9.9.1 |
x9 + 54x5 + 27x3 + 189 |
3 |
3 |
3 |
9 |
$S_3\times C_3$ (as 9T4) |
$ [3/2]_{2}^{3}$ |
| 3.9.9.10 |
x9 + 6x6 + 9x4 + 27 |
3 |
3 |
3 |
9 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [3/2, 3/2, 3/2]_{2}^{3}$ |
| 3.9.9.11 |
x9 + 3x + 3 |
3 |
9 |
1 |
9 |
$(C_3^2:C_8):C_2$ (as 9T19) |
$ [9/8, 9/8]_{8}^{2}$ |
| 3.9.9.12 |
x9 + 6x + 6 |
3 |
9 |
1 |
9 |
$(C_3^2:C_8):C_2$ (as 9T19) |
$ [9/8, 9/8]_{8}^{2}$ |
| 3.9.9.2 |
x9 + 18x3 + 27x + 27 |
3 |
3 |
3 |
9 |
$C_3^2 : S_3 $ (as 9T13) |
$ [3/2, 3/2]_{2}^{3}$ |
| 3.9.9.3 |
x9 + 9x4 + 18x3 + 54 |
3 |
3 |
3 |
9 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [3/2, 3/2, 3/2]_{2}^{3}$ |
| 3.9.9.4 |
x9 + 3x6 + 9x4 + 54 |
3 |
3 |
3 |
9 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [3/2, 3/2, 3/2]_{2}^{3}$ |
| 3.9.9.5 |
x9 + 3x7 + 3x6 + 54 |
3 |
3 |
3 |
9 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [3/2, 3/2, 3/2]_{2}^{3}$ |
| 3.9.9.6 |
x9 + 3x7 + 3x6 + 18x4 + 54 |
3 |
3 |
3 |
9 |
$S_3\times C_3$ (as 9T4) |
$ [3/2]_{2}^{3}$ |
| 3.9.9.7 |
x9 + 18x3 + 54x + 27 |
3 |
3 |
3 |
9 |
$C_3^2 : S_3 $ (as 9T13) |
$ [3/2, 3/2]_{2}^{3}$ |
| 3.9.9.8 |
x9 + 6x7 + 18x3 + 27 |
3 |
3 |
3 |
9 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [3/2, 3/2, 3/2]_{2}^{3}$ |
| 3.9.9.9 |
x9 + 18x5 + 27x2 + 54 |
3 |
3 |
3 |
9 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [3/2, 3/2, 3/2]_{2}^{3}$ |
| 3.9.10.1 |
x9 + 3x2 + 3 |
3 |
9 |
1 |
10 |
$C_3^2:Q_8$ (as 9T14) |
$ [5/4, 5/4]_{4}^{2}$ |
| 3.9.10.2 |
x9 + 3x2 + 6 |
3 |
9 |
1 |
10 |
$S_3^2:C_2$ (as 9T16) |
$ [5/4, 5/4]_{4}^{2}$ |
| 3.9.12.1 |
x9 + 18x5 + 18x3 + 27x2 + 216 |
3 |
3 |
3 |
12 |
$C_3^2$ (as 9T2) |
$ [2]^{3}$ |
| 3.9.12.10 |
x9 + 24x6 + 18x5 + 27 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.12.11 |
x9 + 21x6 + 54x2 + 54 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.12.12 |
x9 + 3x6 + 18x5 + 54 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.12.13 |
x9 + 3x8 + 72x3 + 27 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.12.14 |
x9 + 3x8 + 45x3 + 27 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.12.15 |
x9 + 72x3 + 54x2 + 54 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.12.16 |
x9 + 9x5 + 18x3 + 27x2 + 27 |
3 |
3 |
3 |
12 |
$S_3\times C_3$ (as 9T4) |
$ [2]^{6}$ |
| 3.9.12.17 |
x9 + 6x8 + 6x6 + 27 |
3 |
3 |
3 |
12 |
$C_3^2 : S_3 $ (as 9T13) |
$ [2, 2]^{6}$ |
| 3.9.12.18 |
x9 + 6x8 + 18x3 + 27 |
3 |
3 |
3 |
12 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [2, 2, 2]^{6}$ |
| 3.9.12.19 |
x9 + 6x8 + 18x5 + 18x3 + 27 |
3 |
3 |
3 |
12 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [2, 2, 2]^{6}$ |
| 3.9.12.2 |
x9 + 18x5 + 18x3 + 27x2 + 54 |
3 |
3 |
3 |
12 |
$C_9$ (as 9T1) |
$ [2]^{3}$ |
| 3.9.12.20 |
x9 + 6x6 + 54x2 + 27 |
3 |
3 |
3 |
12 |
$C_3^3:C_3):C_2$ (as 9T22) |
$ [2, 2, 2]^{6}$ |
| 3.9.12.21 |
x9 + 3x4 + 6 |
3 |
9 |
1 |
12 |
$C_3^2:C_4$ (as 9T9) |
$ [3/2, 3/2]_{2}^{2}$ |
| 3.9.12.22 |
x9 + 6x4 + 6x3 + 3 |
3 |
9 |
1 |
12 |
$C_3^2 : C_6$ (as 9T11) |
$ [3/2, 3/2]_{2}^{3}$ |
| 3.9.12.23 |
x9 + 6x4 + 3x3 + 3 |
3 |
9 |
1 |
12 |
$C_3^2 : C_6$ (as 9T11) |
$ [3/2, 3/2]_{2}^{3}$ |
| 3.9.12.24 |
x9 + 3x4 + 3 |
3 |
9 |
1 |
12 |
$S_3^2$ (as 9T8) |
$ [3/2, 3/2]_{2}^{2}$ |
| 3.9.12.25 |
x9 + 3x4 + 6x3 + 3 |
3 |
9 |
1 |
12 |
$C_3^2:C_8$ (as 9T15) |
$ [3/2, 3/2]_{2}^{4}$ |
| 3.9.12.26 |
x9 + 3x4 + 3x3 + 3 |
3 |
9 |
1 |
12 |
$C_3^2:C_8$ (as 9T15) |
$ [3/2, 3/2]_{2}^{4}$ |
| 3.9.12.3 |
x9 + 6x8 + 3x6 + 9x3 + 135 |
3 |
3 |
3 |
12 |
$C_9$ (as 9T1) |
$ [2]^{3}$ |
| 3.9.12.4 |
x9 + 6x6 + 18x5 + 36x3 + 27 |
3 |
3 |
3 |
12 |
$C_3^2:C_3$ (as 9T7) |
$ [2, 2]^{3}$ |
| 3.9.12.5 |
x9 + 18x5 + 18x3 + 27x2 + 27 |
3 |
3 |
3 |
12 |
$C_9:C_3$ (as 9T6) |
$ [2, 2]^{3}$ |
| 3.9.12.6 |
x9 + 3x8 + 6x6 + 27 |
3 |
3 |
3 |
12 |
$C_9:C_3$ (as 9T6) |
$ [2, 2]^{3}$ |
| 3.9.12.7 |
x9 + 18x5 + 72x3 + 54 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.12.8 |
x9 + 12x6 + 54x2 + 54 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.12.9 |
x9 + 15x6 + 18x5 + 27 |
3 |
3 |
3 |
12 |
$C_3 \wr C_3 $ (as 9T17) |
$ [2, 2, 2]^{3}$ |
| 3.9.13.1 |
x9 + 6x5 + 6 |
3 |
9 |
1 |
13 |
$(C_3^2:C_8):C_2$ (as 9T19) |
$ [13/8, 13/8]_{8}^{2}$ |
| 3.9.13.10 |
x9 + 3x6 + 3x5 + 3x3 + 6 |
3 |
9 |
1 |
13 |
$C_3 \wr S_3 $ (as 9T20) |
$ [3/2, 3/2, 5/3]_{2}^{3}$ |
| 3.9.13.2 |
x9 + 6x5 + 3x3 + 3 |
3 |
9 |
1 |
13 |
$C_3^2 : D_{6} $ (as 9T18) |
$ [3/2, 3/2, 5/3]_{2}^{2}$ |
| 3.9.13.3 |
x9 + 3x6 + 6x5 + 6x3 + 3 |
3 |
9 |
1 |
13 |
$C_3 \wr S_3 $ (as 9T20) |
$ [3/2, 3/2, 5/3]_{2}^{3}$ |
| 3.9.13.4 |
x9 + 6x5 + 6x3 + 3 |
3 |
9 |
1 |
13 |
$C_3 \wr S_3 $ (as 9T20) |
$ [3/2, 3/2, 5/3]_{2}^{3}$ |
| 3.9.13.5 |
x9 + 6x6 + 6x5 + 6x3 + 3 |
3 |
9 |
1 |
13 |
$C_3 \wr S_3 $ (as 9T20) |
$ [3/2, 3/2, 5/3]_{2}^{3}$ |
| 3.9.13.6 |
x9 + 3x5 + 3 |
3 |
9 |
1 |
13 |
$(C_3^2:C_8):C_2$ (as 9T19) |
$ [13/8, 13/8]_{8}^{2}$ |
| 3.9.13.7 |
x9 + 3x5 + 6x3 + 3 |
3 |
9 |
1 |
13 |
$C_3^2 : D_{6} $ (as 9T18) |
$ [3/2, 3/2, 5/3]_{2}^{2}$ |
| 3.9.13.8 |
x9 + 3x5 + 3x3 + 6 |
3 |
9 |
1 |
13 |
$C_3 \wr S_3 $ (as 9T20) |
$ [3/2, 3/2, 5/3]_{2}^{3}$ |
