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: 2 Missing polynomials: 3
| Missing polynomials of degree 18 | |||||||||||||||||
| G | Name | |G| | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | Quotients | Products | Wreath product quotients | Blocks | Properties |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 18T377 | PSL(2, 17) | 2448 | - |  | - | - | - | - | - | - | - |  | - | - | - | - | not solvable, primitive, simple, irreducible, even |
| 18T468 | PGL(2, 17) | 4896 | | | - | - | - | - | - | - | - | | - | - | - | - | not solvable, primitive, irreducible |
6 | 1.14 ms