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Transitive Groups of degree 11

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Transitive Groups of degree 11
G Name Δ |G| |G| fact. |Z(G)| Properties of G # fields
11T1 C(11)=11 11
11
11 cyclic, primitive, simple, semiabelian, even 40
11T2 D(11)=11:2 22
2 · 11
1 solvable, primitive, semiabelian 50
11T3 F55(11)=11:5 55
5 · 11
1 solvable, primitive, semiabelian, even 43
11T4 F110(11)=11:10 110
2 · 5 · 11
1 solvable, primitive, semiabelian 56
11T5 L(11)=PSL(2,11)(11) 660
22 · 3 · 5 · 11
1 not solvable, primitive, simple, irreducible, even 43
11T6 M(11) 7920
24 · 32 · 5 · 11
1 not solvable, primitive, simple, irreducible, even 35
11T7 A(11) 19958400
27 · 34 · 52 · 7 · 11
1 not solvable, primitive, simple, irreducible, even 46
11T8 S(11) 39916800
28 · 34 · 52 · 7 · 11
1 not solvable, primitive, irreducible 431

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