As Jura had said, the meaning is the same. However, there is a very subtle difference in the two sentences.
"That night" emphasizes a particular night where as "in the night" just tells us that during one night. On the same note, there is also a subtle difference between "In the night" vs "at night". When you have such questions, it is best to Google for the explaning by typing, "difference between XXX and YYY".