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

WARNING: This page is about a different car, the 2010 BMW 535i, 2009 BMW 535i, and 2008 BMW 535i. However, it is still accessible from the selected car via links, so may be relevant.
REAR DIFFERENTIAL: ASSIGNMENT TO MODEL SERIES

Model series Engine Rear differential
E60 M54 188K
M47T2, N52, N53
Automatic transmission:
M57TU, M57T2, N62, N62TU
188L / 188LW
N43, N46T, N47
Automatic transmission:
N54
188LW
Manual transmission:
M57TU, N62, N62TU
215K
M57T2 535d, N62TU 550i
Manual transmission:
M57T2, N54, N62TU
215L / 215LW
S85 215 with lock
E61 M54 188K
M47T2, N52, N53
Automatic transmission:
188L / 188LW
N43, N47
Automatic transmission:
N54
188LW
Manual transmission:
M57TU, N62, N62TU
215K
M57T2 535d, N62TU 550i
Manual transmission:
M57T2, N54, N62TU
215L / 215LW
S85 215 with lock
K Compact
L Light-running
LW Light-running, efficiency-optimized