<< degree 18 | overview | degree 20 >>
| Transitive Groups of degree 19 | ||||||
| G | Δ Name | |G| | |G| fact. | |Z(G)| | Properties of G | # fields |
|---|---|---|---|---|---|---|
| 19T7 | A19 | 60822550204416000 |
215 · 38 · 53 · 72 · 11 · 13 · 17 · 19
|
1 | not solvable, primitive, simple, irreducible, even | 8 |
| 19T1 | C(19)=19 | 19 |
19
|
19 | cyclic, primitive, simple, semiabelian, even | 6 |
| 19T2 | D(19)=19:2 | 38 |
2 · 19
|
1 | solvable, primitive, semiabelian | 56 |
| 19T4 | F114(19)=19:6 | 114 |
2 · 3 · 19
|
1 | solvable, primitive, semiabelian | 7 |
| 19T5 | F171(19)=19:9 | 171 |
32 · 19
|
1 | solvable, primitive, semiabelian, even | 75 |
| 19T6 | F342(19)=19:18 | 342 |
2 · 32 · 19
|
1 | solvable, primitive, semiabelian | 194 |
| 19T3 | F57(19)=19:3 | 57 |
3 · 19
|
1 | solvable, primitive, semiabelian, even | 3 |
| 19T8 | S19 | 121645100408832000 |
216 · 38 · 53 · 72 · 11 · 13 · 17 · 19
|
1 | not solvable, primitive, irreducible | 42 |
9 | 2,91 ms