Step 1: Understanding the Concept
The orbitals \(d_{xy}\), \(d_{yz}\), \(d_{xz}\) and \(d_{x^2-y^2}\) have four lobes in a cloverleaf shape.
Step 2: Special Orbital
The \(d_{z^2}\) orbital has two lobes along the z-axis and a doughnut shaped ring in the xy-plane.
Step 3: Conclusion
So \(d_{z^2}\) has a different shape from the others.
Final Answer:
The \(d_{z^2}\) orbital has a different shape.
\[ \boxed{\text{(D) }\mathrm{d}_{z^{2}}} \]