Step 1: Understanding the Concept
With \(\text{Cl}_2\) and anhydrous \(\text{FeCl}_3\) the reaction is electrophilic aromatic substitution.
Step 2: Directing effect
Chlorine is deactivating but ortho, para directing because of its lone pair resonance (+R effect).
Step 3: Major product
Both ortho and para products form, but the para isomer is major because of less steric hindrance. The major product is 1,4-dichlorobenzene.
Final Answer:
The major product is 1,4-dichlorobenzene.
\[ \boxed{\text{(C) }\text{1,4-Dichlorobenzene}} \]