<< degree 3 | overview | degree 5 >>
| Transitive Groups of degree 4 | ||||||
| G | Name | |G| | |G| fact. | |Z(G)| | Properties of G | # fields |
|---|---|---|---|---|---|---|
| 4T1 | C(4) = 4 | 4 |
22
|
4 | cyclic, semiabelian | 436 |
| 4T2 | E(4) = 2[x]2 | 4 |
22
|
4 | abelian, semiabelian, even | 363 |
| 4T3 | D(4) | 8 |
23
|
2 | nilpotent, semiabelian | 684 |
| 4T4 | A(4) | 12 |
22 · 3
|
1 | solvable, primitive, semiabelian, even | 374 |
| 4T5 | S(4) | 24 |
23 · 3
|
1 | solvable, primitive, semiabelian | 504 |
9 | 2,16 ms