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: 12 Missing polynomials: 26
| Missing polynomials of degree 18 | ||||||||||||||||
| G | |G| | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | Quotients | Products | Wreath product quotients | Blocks | Properties |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 18T377 | 2448 | - |  | - | - | - | - | - | - | - |  | - | - | - | - | not solvable, primitive, simple, irreducible, even |
| 18T468 | 4896 | | | - | - | - | - | - | - | - | | - | - | - | - | not solvable, primitive, irreducible |
| 18T897 | 508032 | | | - | - | - | | - | - | - | | - | 9T27  2T1 | 9T27 2T1 | (2T1, 9T27) | not solvable, irreducible |
| 18T937 | 1524096 | | | - | - | - | | - | - | - | | - | - | - | (2T1, 9T32) | not solvable, irreducible |
| 18T938 | 1524096 | | | - | - | - | | - | - | - | | - | - | - | (2T1, 9T32) | not solvable, irreducible |
| 18T952 | 4572288 | | | - | - | - | | - | - | - | | - | 9T32 2T1 | 9T32 2T1 | (2T1, 9T32) | not solvable, irreducible |
| 18T973 | 559872000 | - | | - | | - |  | - | | - | | - | - | - | (3T1, 6T16) | not solvable, irreducible, even |
| 18T975 | 1119744000 | | | | | - | | - | | - | | - | - | - | (3T2, 6T16) | not solvable, irreducible |
| 18T978 | 65840947200 | | | - | | - | | - | | - | | - | 9T33 2T1 | 9T33 2T1 | (2T1, 9T33) | not solvable, irreducible |
| 18T979 | 131681894400 | - | | - | | - | | - | | - | | - | - | - | (2T1, 9T34) | not solvable, irreducible, even |
| 18T980 | 131681894400 | | | - | | - | | - | | - | | - | - | - | (2T1, 9T34) | not solvable, irreducible |
| 18T982 | 3201186852864000 | - | | - | | - | | - | | - | | - | - | - | - | not solvable, primitive, simple, irreducible, even |
6 | 1,21 ms