<< degree 10 | overview | degree 12 >>
| Transitive Groups of degree 11 | ||||||
| G | Name | |G| | |G| fact. | |Z(G)| | Properties of G | # fields |
|---|---|---|---|---|---|---|
| 11T1 | C(11)=11 | 11 |
11
|
11 | cyclic, primitive, simple, semiabelian, even | 41 |
| 11T2 | D(11)=11:2 | 22 |
2 · 11
|
1 | solvable, primitive, semiabelian | 66 |
| 11T3 | F55(11)=11:5 | 55 |
5 · 11
|
1 | solvable, primitive, semiabelian, even | 89 |
| 11T4 | F110(11)=11:10 | 110 |
2 · 5 · 11
|
1 | solvable, primitive, semiabelian | 151 |
| 11T5 | L(11)=PSL(2,11)(11) | 660 |
22 · 3 · 5 · 11
|
1 | not solvable, primitive, simple, irreducible, even | 54 |
| 11T6 | M(11) | 7920 |
24 · 32 · 5 · 11
|
1 | not solvable, primitive, simple, irreducible, even | 42 |
| 11T7 | A(11) | 19958400 |
27 · 34 · 52 · 7 · 11
|
1 | not solvable, primitive, simple, irreducible, even | 49 |
| 11T8 | S(11) | 39916800 |
28 · 34 · 52 · 7 · 11
|
1 | not solvable, primitive, irreducible | 521 |
9 | 2,22 ms