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33 10... Rear differential: Assignment to model series

WARNING: This page is about a different car, the 2010 BMW 135i, 2009 BMW 135i, and 2008 BMW 135i. However, it is still accessible from the selected car via links, so may be relevant.
REAR DIFFERENTIAL MODEL SERIES ASSIGNMENT

Model series Engine Rear differential
E81 N43, N46 168L
N47, N52 188L/188LW
Manual transmission: N47 123d 215LW
E82 N47, N52, N54 188LW
Manual transmission: N47 123d, N54 215LW
E87 N43, N45, N46, M47T2 168L
M47T2 120d, N47, N52 188L/188LW
Manual transmission: N47 123d 215LW
E88 N43, N46 168L
N52 188LW
L Light-running
LW Light-running, efficiency-optimized