This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
 BUILT-IN MATHEMATICA SYMBOL Tutorials »| See Also »| More About »

DihedralGroup

 DihedralGroup[n] represents the dihedral group of order .
• For n≥3, DihedralGroup[n] is represented by default as a permutation group on the points .
Number of elements of a dihedral group:
Permutation generators of a dihedral group:
Elements of a permutation representation of a dihedral group:
Number of elements of a dihedral group:
 Out[1]=

Permutation generators of a dihedral group:
 Out[1]=

Elements of a permutation representation of a dihedral group:
 Out[1]=
 Scope   (1)
DihedralGroup[n] for any positive integer n:
DihedralGroup and DihedralGroup are the only dihedral commutative groups:
DihedralGroup and DihedralGroup are special as permutation groups because they are not subgroups of SymmetricGroup and SymmetricGroup, respectively. Their permutation representations require larger supports:
New in 8