Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 249; Flight Crew Type 8500
Situational Awareness
Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Issued New Clearance; Flight Crew Became Reoriented
Human Factors; Procedure
During the pre-departure briefing; while comparing our CDU route to the PDC; both pilots read the SID from the filed line; and missed the SID change to -VTU5- in the line directly above.  Upon check-in with SoCal on departure; we confirmed that we thought we were cleared for the CASTA 4 Departure; but after checking the PDC in-flight; we realized our error.SoCal re-cleared us via runway heading; expect radar vectors RZS..AVE..PXN.PXN3 Arrival.  Due to the later; evening departure traffic was light in that sector and there were no known conflicts.There is no reason to list the filed route in the PDC clearance.  Recommend listing only the actual cleared route in its entirety point-by-point.  Eliminating the unnecessary information would declutter the PDC and clarify exactly the route cleared by ATC.
[Report narrative contained no additional information].
A B737-700 flight crew reported they flew the wrong departure out of LAX when they failed to catch a routing change in the PDC.