A Database for Number Fields - Created by Jürgen Klüners & Gunter Malle
Missing polynomials
This is a list of groups with no polynomials in a special complex conjugation class.
The red cross means there is no polynomial for any conjugation class of this signature.
Missing groups: 3 Missing polynomials: 3
| Missing polynomials of degree 17 | ||||||||||||||||
| G | Name | |G| | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | Quotients | Products | Wreath product quotients | Blocks | Properties |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 17T6 | L(17)=PSL(2,16) | 4080 |  | - | - | - | - | - | - | - |  | - | - | - | - | not solvable, primitive, simple, irreducible, even |
| 17T7 | L(17):2=| 8160 | - | - | - | - | - | - | - | - | - | - | not solvable, primitive, irreducible, even | | |||
| 17T8 | L(17):4=PYL(2,16) | 16320 | | - | | - | - | - | - | - | | - | - | - | - | not solvable, primitive, irreducible, even |
6 | 1.26 ms