<< degree 12 | overview | degree 14 >>
| Transitive Groups of degree 13 | ||||||
| G | Name | |G| | |G| fact. | |Z(G)| | Properties of G | # fields |
|---|---|---|---|---|---|---|
| 13T1 | C(13)=13 | 13 |
13
|
13 | cyclic, primitive, simple, semiabelian, even | 3 |
| 13T2 | D(13)=13:2 | 26 |
2 · 13
|
1 | solvable, primitive, semiabelian, even | 5 |
| 13T3 | F39(13)=13:3 | 39 |
3 · 13
|
1 | solvable, primitive, semiabelian, even | 14 |
| 13T4 | F52(13)=13:4 | 52 |
22 · 13
|
1 | solvable, primitive, semiabelian | 16 |
| 13T5 | F78(13)=13:6 | 78 |
2 · 3 · 13
|
1 | solvable, primitive, semiabelian, even | 15 |
| 13T6 | F156(13)=13:12 | 156 |
22 · 3 · 13
|
1 | solvable, primitive, semiabelian | 163 |
| 13T7 | L(13)=PSL(3,3) | 5616 |
24 · 33 · 13
|
1 | not solvable, primitive, simple, irreducible, even | 73 |
| 13T8 | A(13) | 3113510400 |
29 · 35 · 52 · 7 · 11 · 13
|
1 | not solvable, primitive, simple, irreducible, even | 27 |
| 13T9 | S(13) | 6227020800 |
210 · 35 · 52 · 7 · 11 · 13
|
1 | not solvable, primitive, irreducible | 223 |
9 | 1,56 ms