| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.8.13 |
$8$ |
$x^{8} + 2 x + 2$ |
$2$ |
$8$ |
$1$ |
$8$ |
$C_2^3:(C_7: C_3)$ (as 8T36) |
$3$ |
$7$ |
$[8/7, 8/7, 8/7]$ |
$[8/7, 8/7, 8/7]_{7}^{3}$ |
$t + 1$ |
$x^{8} + 2 x + 2$ |
$[1, 1, 1, 0]$ |
$[1]$ |
| 2.8.10.1 |
$8$ |
$x^{8} + 2 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$10$ |
$C_2^3:(C_7: C_3)$ (as 8T36) |
$3$ |
$7$ |
$[10/7, 10/7, 10/7]$ |
$[10/7, 10/7, 10/7]_{7}^{3}$ |
$t + 1$ |
$x^{8} + 2 x^{3} + 2$ |
$[3, 3, 3, 0]$ |
$[1]$ |
| 2.8.10.2 |
$8$ |
$x^{8} + 2 x^{3} + 2 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$10$ |
$\textrm{GL(2,3)}$ (as 8T23) |
$2$ |
$3$ |
$[4/3, 4/3, 3/2]$ |
$[4/3, 4/3, 3/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{3} + 2 x^{2} + 2$ |
$[3, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.10.3 |
$8$ |
$x^{8} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$10$ |
$\textrm{GL(2,3)}$ (as 8T23) |
$2$ |
$3$ |
$[4/3, 4/3, 3/2]$ |
$[4/3, 4/3, 3/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2$ |
$[3, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.12.25 |
$8$ |
$x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$12$ |
$S_4\times C_2$ (as 8T24) |
$2$ |
$3$ |
$[4/3, 4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.12.26 |
$8$ |
$x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$12$ |
$S_4\times C_2$ (as 8T24) |
$2$ |
$3$ |
$[4/3, 4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{2} + 6$ |
$[5, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.12.27 |
$8$ |
$x^{8} + 2 x^{5} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$12$ |
$C_2^3:(C_7: C_3)$ (as 8T36) |
$3$ |
$7$ |
$[12/7, 12/7, 12/7]$ |
$[12/7, 12/7, 12/7]_{7}^{3}$ |
$t + 1$ |
$x^{8} + 2 x^{5} + 2 x^{4} + 2$ |
$[5, 5, 4, 0]$ |
$[1]$ |
| 2.8.12.28 |
$8$ |
$x^{8} + 2 x^{5} + 2$ |
$2$ |
$8$ |
$1$ |
$12$ |
$C_2^3:(C_7: C_3)$ (as 8T36) |
$3$ |
$7$ |
$[12/7, 12/7, 12/7]$ |
$[12/7, 12/7, 12/7]_{7}^{3}$ |
$t + 1$ |
$x^{8} + 2 x^{5} + 2$ |
$[5, 5, 5, 0]$ |
$[1]$ |
| 2.8.12.29 |
$8$ |
$x^{8} + 2 x^{5} + 2 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$12$ |
$\textrm{GL(2,3)}$ (as 8T23) |
$2$ |
$3$ |
$[4/3, 4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{5} + 2 x^{2} + 6$ |
$[5, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.12.30 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$12$ |
$\textrm{GL(2,3)}$ (as 8T23) |
$2$ |
$3$ |
$[4/3, 4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.14.1 |
$8$ |
$x^{8} + 2 x^{7} + 6$ |
$2$ |
$8$ |
$1$ |
$14$ |
$A_4\times C_2$ (as 8T13) |
$3$ |
$1$ |
$[2, 2, 2]$ |
$[2, 2, 2]^{3}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 6$ |
$[7, 7, 7, 0]$ |
$[3]$ |
| 2.8.14.10 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 5/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{2} + 4 x + 2$ |
$[7, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.14.11 |
$8$ |
$x^{8} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 5/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$[7, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.14.12 |
$8$ |
$x^{8} + 2 x^{7} + 4 x^{4} + 2 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 5/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 4 x^{4} + 2 x^{2} + 2$ |
$[7, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.14.13 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 5/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.14.14 |
$8$ |
$x^{8} + 2 x^{7} + 4 x^{3} + 2 x^{2} + 4 x + 6$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 5/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 4 x^{3} + 2 x^{2} + 4 x + 6$ |
$[7, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.14.2 |
$8$ |
$x^{8} + 2 x^{7} + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$A_4\times C_2$ (as 8T13) |
$3$ |
$1$ |
$[2, 2, 2]$ |
$[2, 2, 2]^{3}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2$ |
$[7, 7, 7, 0]$ |
$[3]$ |
| 2.8.14.3 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2^3 : C_4 $ (as 8T19) |
$4$ |
$1$ |
$[2, 2, 2]$ |
$[2, 2, 2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 2$ |
$[7, 6, 4, 0]$ |
$[4]$ |
| 2.8.14.4 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 6$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2^3 : C_4 $ (as 8T19) |
$4$ |
$1$ |
$[2, 2, 2]$ |
$[2, 2, 2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 6$ |
$[7, 6, 4, 0]$ |
$[4]$ |
| 2.8.14.5 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2^3:C_7$ (as 8T25) |
$7$ |
$1$ |
$[2, 2, 2]$ |
$[2, 2, 2]^{7}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2$ |
$[7, 6, 6, 0]$ |
$[7]$ |
| 2.8.14.6 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{4} + 6$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2^3:C_7$ (as 8T25) |
$7$ |
$1$ |
$[2, 2, 2]$ |
$[2, 2, 2]^{7}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{4} + 6$ |
$[7, 7, 4, 0]$ |
$[7]$ |
| 2.8.14.7 |
$8$ |
$x^{8} + 2 x^{7} + 4 x^{3} + 2 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 5/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 4 x^{3} + 2 x^{2} + 2$ |
$[7, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.14.8 |
$8$ |
$x^{8} + 2 x^{7} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 5/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$[7, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.14.9 |
$8$ |
$x^{8} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 5/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 2$ |
$[7, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.57 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 6 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$S_4\times C_2$ (as 8T24) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 6 x^{2} + 4 x + 2$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.58 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$S_4\times C_2$ (as 8T24) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 2$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.59 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 6 x^{2} + 4 x + 10$ |
$2$ |
$8$ |
$1$ |
$16$ |
$S_4\times C_2$ (as 8T24) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 6 x^{2} + 4 x + 10$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.60 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 10$ |
$2$ |
$8$ |
$1$ |
$16$ |
$S_4\times C_2$ (as 8T24) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 10$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.61 |
$8$ |
$x^{8} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2^3:(C_7: C_3)$ (as 8T36) |
$3$ |
$7$ |
$[16/7, 16/7, 16/7]$ |
$[16/7, 16/7, 16/7]_{7}^{3}$ |
$t + 1$ |
$x^{8} + 4 x + 2$ |
$[9, 9, 8, 0]$ |
$[1]$ |
| 2.8.16.62 |
$8$ |
$x^{8} + 4 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2^3:(C_7: C_3)$ (as 8T36) |
$3$ |
$7$ |
$[16/7, 16/7, 16/7]$ |
$[16/7, 16/7, 16/7]_{7}^{3}$ |
$t + 1$ |
$x^{8} + 4 x^{2} + 4 x + 2$ |
$[9, 9, 8, 0]$ |
$[1]$ |
| 2.8.16.63 |
$8$ |
$x^{8} + 2 x^{4} + 4 x + 6$ |
$2$ |
$8$ |
$1$ |
$16$ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$2$ |
$3$ |
$[2, 7/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 4 x + 6$ |
$[9, 9, 4, 0]$ |
$[1, 1]$ |
| 2.8.16.64 |
$8$ |
$x^{8} + 2 x^{4} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$2$ |
$3$ |
$[2, 7/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 4 x + 2$ |
$[9, 9, 4, 0]$ |
$[1, 1]$ |
| 2.8.16.65 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 2$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.66 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 6$ |
$2$ |
$8$ |
$1$ |
$16$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 6$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.67 |
$8$ |
$x^{8} + 2 x^{6} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x + 2$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.68 |
$8$ |
$x^{8} + 2 x^{6} + 4 x + 6$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x + 6$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.69 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 2$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.70 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 6$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 6$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.71 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{2} + 4 x + 10$ |
$2$ |
$8$ |
$1$ |
$16$ |
$\textrm{GL(2,3)}$ (as 8T23) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{2} + 4 x + 10$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.72 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 10$ |
$2$ |
$8$ |
$1$ |
$16$ |
$\textrm{GL(2,3)}$ (as 8T23) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 10$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.73 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$\textrm{GL(2,3)}$ (as 8T23) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 2$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.74 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$\textrm{GL(2,3)}$ (as 8T23) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{2} + 4 x + 2$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.75 |
$8$ |
$x^{8} + 2 x^{6} + 6 x^{4} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2\wr A_4$ (as 8T38) |
$6$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 2, 2, 5/2]^{6}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 6 x^{4} + 4 x + 2$ |
$[9, 6, 4, 0]$ |
$[1, 3]$ |
| 2.8.16.76 |
$8$ |
$x^{8} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2\wr A_4$ (as 8T38) |
$6$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 2, 2, 5/2]^{6}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x + 2$ |
$[9, 6, 4, 0]$ |
$[1, 3]$ |
| 2.8.16.77 |
$8$ |
$x^{8} + 2 x^{6} + 2 x^{4} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2\wr A_4$ (as 8T38) |
$6$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 2, 2, 5/2]^{6}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 2 x^{4} + 4 x + 2$ |
$[9, 6, 4, 0]$ |
$[1, 3]$ |
| 2.8.16.78 |
$8$ |
$x^{8} + 2 x^{6} + 6 x^{4} + 4 x^{3} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2\wr A_4$ (as 8T38) |
$6$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 2, 2, 5/2]^{6}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 6 x^{4} + 4 x^{3} + 4 x + 2$ |
$[9, 6, 4, 0]$ |
$[1, 3]$ |
| 2.8.16.79 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2 x^{2} + 4 x + 10$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2 x^{2} + 4 x + 10$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.80 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 10$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 10$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.81 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 6$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 6$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.82 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[4/3, 4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$[9, 2, 2, 0]$ |
$[1, 1]$ |
