Dic24

Also called  C3 ⋊ Q8,   dicyclic(24).

Statistics

Order of group24
GAP identifier24,4
Presentation< b,r | b12, r4, rb=b11r, r2=b6 >
Orders of elements1 of 1, 1 of 2, 2 of 3, 2+2*6 of 4, 2 of 6, 2*2 of 12
CentreC2
Derived subgroupC6
Automorphism groupD8×D6
Inner automorphism groupD12
"Out" (quotient of above)C2
Schur multiplier1
Sylow-2-subgroupQ8
 

Permutation Diagrams


Not transitive.

Not transitive.

Cayley Graphs






Index to regular maps

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