Statistics 
Order of group  24 
GAP identifier  24,13 
Presentation  < r,g,b,e  r^{2}, g^{2}, b^{2}, e^{3}, (rg)^{2}, (gb)^{2}, (br)^{2}, gere^{2}, bege^{2}, rebe^{2} > 
Orders of elements  1 of 1, 1+3+3 of 2, 2*4 of 3, 2*4 of 6 
Centre  (2.1) 
Derived subgroup  (4.2) 
Automorphism group  (24.12) 
Inner automorphism group  (12.3) 
"Out" (quotient of above)  (2.1) 
Schur multiplier  (2.1) 
Sylow2subgroup  (8.5) 
 
1transitive on 6 points, odd. 
2transitive on 6 points, odd. 
2transitive on 6 points, odd. 
1transitive on 6 points, odd. 
1transitive on 8 points, even. 
