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: 8 Missing polynomials: 36
| Missing polynomials of degree 22 | ||||||||||||||||||
| G | |G| | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | Quotients | Products | Wreath product quotients | Blocks | Properties |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 22T19 | 4840 |  | | - | - | - | - |  | - | - | - | - | | - | - | 11T1  20T7 | (2T1, 11T4) | solvable, semiabelian |
| 22T38 | 443520 | - | - | - | | - | - | - | - | - | - | - | | - | - | - | - | not solvable, primitive, simple, irreducible, even |
| 22T40 | 871200 | | - | - | | - | - | - | | - | - | - | | - | 11T5 2T1 | 11T5 2T1 | (2T1, 11T5) | not solvable, irreducible |
| 22T48 | 125452800 | | - | - | | - | - | - | | - | - | - | | - | 11T6 2T1 | 11T6 2T1 | (2T1, 11T6) | not solvable, irreducible |
| 22T54 | 796675461120000 | | - | - | | - | | - | | - | | - | | - | 11T7 2T1 | 11T7 2T1 | (2T1, 11T7) | not solvable, irreducible |
| 22T55 | 1593350922240000 | - | | - |  | - | | - | | - | | - | | - | - | - | (2T1, 11T8) | not solvable, irreducible, even |
| 22T56 | 1593350922240000 | | | - | | - | | - | | - | | - | | - | - | - | (2T1, 11T8) | not solvable, irreducible |
| 22T58 | 562000363888803840000 | - | | - | | - | | - | | - | | - | | - | - | - | - | not solvable, primitive, simple, irreducible, even |
6 | 1,05 ms