Dihedral and dicyclic groups are isoclinic
Suppose is an integer. Then, the following two groups are isoclinic groups:
Further, if is odd, the nboth of these are also isoclinic to the dihedral group of degree and order .
|dicyclic group of degree , order||dihedral group of degree , order||If is odd, dihedral group of degree , order|
|2||4||8||quaternion group||dihedral group:D8||--|
|3||6||12||dicyclic group:Dic12||dihedral group:D12||symmetric group:S3|
|4||8||16||generalized quaternion group:Q16||dihedral group:D16||--|
|5||10||20||dicyclic group:Dic20||dihedral group:D20||dihedral group:D10|