A6

Also called  PSL(2,9),   A2(9).

A6 is simple.

Statistics

Order of group360
GAP identifier360,118
Presentation
Orders of elements1 of 1, 45 of 2, 2*40 of 3, 90 of 4, 2*72 of 5
Centre1
Derived subgroupA6
Automorphism groupPΓL(2,9)
Inner automorphism groupA6
"Out" (quotient of above)C2×C2
Schur multiplierC6
Sylow-2-subgroupD8
 

Permutation Diagrams


Sharply 4-transitive
on 6 points, even.

Sharply 4-transitive
on 6 points, even.

Sharply 4-transitive
on 6 points, even.

Sharply 4-transitive
on 6 points, even.

Sharply 4-transitive
on 6 points, even.

Sharply 4-transitive
on 6 points, even.

Index to regular maps

Orientable sphere | torus | 2 | 3 | 4 | 5 | 6
Non-orientable projective plane | 4 | 5 | 6 | 7