<< degree 12 | overview | degree 14 >>

Transitive Groups of degree 13

Jump to group T

Smallest Discs display

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 1
13T4 F52(13)=13:4 52
22 · 13
1 solvable, primitive, semiabelian 7
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 20
13T7 L(13)=PSL(3,3) 5616
24 · 33 · 13
1 not solvable, primitive, simple, irreducible, even 59
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   |   2,76 ms