SL(2,3)

Also called  C2 ↑ (C2×C2) ⋊ C3,   binary tetrahedral group,   Q8 ⋊ C3.

Statistics

Order of group24
GAP identifier24,3
Presentation< k,r | k6, r4, (kr)3 >
Orders of elements1 of 1, 1 of 2, 2*4 of 3, 6 of 4, 2*4 of 6
CentreC2
Derived subgroupQ8
Automorphism groupS4
Inner automorphism groupA4
"Out" (quotient of above)C2
Schur multiplier1
Sylow-2-subgroupQ8
 

Permutation Diagrams


1-transitive on 8
points, even.

1-transitive on 8
points, even.

1-transitive on 8
points, even.

1-transitive on 8
points, even.

Cayley Graphs





Index to regular maps

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