Dic12

Also called C3 ⋊ C4.

Statistics
Order of group	12
GAP identifier	12,1
Presentation	< b,r \| b⁶, r⁴, brbr³ >
Orders of elements	1 of 1, 1 of 2, 2 of 3, 2*3 of 4, 2 of 6
Centre	C2
Derived subgroup	C3
Automorphism group	D12
Inner automorphism group	D6
"Out" (quotient of above)	C2
Schur multiplier	1
Sylow-2-subgroup	C4

Permutation Diagrams

Not transitive.

Cayley Graphs

Regular maps with Dic12 symmetry

Dic12 is the rotational symmetry group of the regular map "QX 3-4".

Index to regular maps