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: 11 Missing polynomials: 50
| Missing polynomials of degree 21 | |||||||||||||||||
| G | |G| | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | Quotients | Products | Wreath product quotients | Blocks | Properties |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 21T67 | 20160 | - | - |  | - | - | - | - | - | - | - |  | - | - | - | - | not solvable, primitive, simple, irreducible, even |
| 21T85 | 40320 | - | - | | | - | - | - | - | - | - | | - | - | - | - | not solvable, primitive, irreducible |
| 21T91 | 60480 | - | - | | - | - | - | - | - | - | - | | - | - | - | - | not solvable, primitive, irreducible, even |
| 21T103 | 120960 | - | - | | | - | - | - | - | - | - | | - | - | - | - | not solvable, primitive, irreducible |
| 21T154 | 96018048000 | - | | - | | | | | | | - | | - | - | - | (3T1, 7T7) | not solvable, irreducible |
| 21T155 | 96018048000 | | - | | - | | - | | - | | - | | - | - | - | (3T2, 7T7) | not solvable, irreducible, even |
| 21T157 | 192036096000 | | | | | | | | | | - | | - | - | - | (3T2, 7T7) | not solvable, irreducible |
| 21T158 | 192036096000 | - | - | | - |  | - | | - | | - | | - | - | - | (3T1, 7T7) | not solvable, irreducible, even |
| 21T160 | 384072192000 | - | | | | | - | | - | | - | | - | - | - | (3T2, 7T7) | not solvable, irreducible |
| 21T161 | 384072192000 | | - | | - | | - | | - | | - | | - | - | - | (3T2, 7T7) | not solvable, irreducible, even |
| 21T163 | 25545471085854720000 | | - | | - | | - | | - | | - | | - | - | - | - | not solvable, primitive, simple, irreducible, even |
6 | 1,25 ms