stability order

 In chair conformation, the adjacent hydrogen atoms on all the neighboring carbon atoms are staggered and the force of repulsion in them is the minimum. It also does not have any angle strain. So it is most stable.


The half chair form is least stable as it has maximum strain as five carbon atoms are in one plane and one carbon atom is out of plane.
The boat conformation has steric strain due to interaction between two flagpole hydrogen and torsional strain is also present. It also does not have any angle strain. So it is less stable than a chair and twist boat.
Twist boat has less steric strain and torsional strain then the boat conformation due to which flagpole hydrogen atoms move away from each other and reduce the strain so it is more stable than boat conformation.

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