Concept:
In crystallography, symmetry of a crystal is identified by the arrangement of faces, edges, points and symmetry elements.
Step 1: Understand the given condition.
The question says that a face on one side of the crystal is opposite to a point on the other side.
This means the two ends of the crystal are not similar.
Step 2: Identify the crystal character.
When the opposite ends of a crystal are dissimilar, the crystal is called hemimorphic.
\[
\text{Face on one side and point on opposite side} \Rightarrow \text{Hemimorphic}
\]
Step 3: Eliminate other options.
Centrosymmetric crystals have a centre of symmetry.
Enantiomorphous crystals are mirror-related forms.
Non-centrosymmetric is a broad term, but the specific term for this condition is hemimorphic.
\[
\therefore \text{Correct Answer is (D)}
\]