# Dihedral Group27

For odd primes $p$, the Sylow $p$-subgroups of Diherdral group are cyclic and normal
Compute all Sylow subgroups of Dihedral group $D_{12}$ and $S_3\times S_3$
Compute a permutation representation of Dihedral group of order 8
Compute permutation representations of Dihedral group of order 8
Exhibit Dihedral group as a subgroup of Symmetric group via regular representation
Compute presentations for a given central product of groups
Basic properties of the central product of groups
Every doubly transitive group action is primitive
Exhibit Dih(8) as a subgroup of Sym(4)
Exhibit two subgroups which do not commute in Symmetric group S4