Dic12

Also called  C3 ⋊ C4.

Statistics

Order of group12
GAP identifier12,1
Presentation< b,r | b6, r4, brbr3 >
Orders of elements1 of 1, 1 of 2, 2 of 3, 2*3 of 4, 2 of 6
CentreC2
Derived subgroupC3
Automorphism groupD12
Inner automorphism groupD6
"Out" (quotient of above)C2
Schur multiplier1
Sylow-2-subgroupC4
 

Permutation Diagrams


Not transitive.

Cayley Graphs





Index to regular maps

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