The various types of isomerism that can be observed in coordination compounds are :
( i ) Geometrical isomerism : 

( ii ) Optical isomerism :

(iii) Coordination isomerism :
This kind of isomerism comes up when ligands are interchanged between anionic and cationic entities of different metal ions present in the complex.
Example – [ Cr( NH₃)₆] [ Co( CN )₆]

(iv)

Linkage isomerism: This is found in complexes that have ambidentate ligands. For e.g. :[ Co( NH₃ )₅( NO₂) ]Cl₂ and [ Co( NH₃)₅( ONO) ]Cl₂

(v) Ionisation isomerism: It is a type of isomerism in which a counter ion replaces a ligand within the coordination sphere.

e.g., [ Co( NH₃)₅Br ]SO₄and [ Co( NH₃)₅SO₄ ]Br

(vi) Solvate isomerism :
[ Cr( H₂O)₅ Cl ]Cl.H₂O