A320
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 138; Flight Crew Type 963
Human-Machine Interface
Aircraft Equipment Problem Less Severe; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Provided Assistance; Flight Crew Became Reoriented; Flight Crew Requested ATC Assistance / Clarification; Flight Crew Returned To Clearance
Aircraft; Human Factors
Departed Rwy XX at ZZZ. Tower had just opened and revised our clearance to include [a specific] Departure. We loaded that into the box and briefed the departure. The Flight Director commanded a right turn prior to the ZZZ1 VOR instead of entering the hold to climb. Before we could correct it; Approach cleared us onto the airway; and stated 'it's no problem; [those] aircraft FMS' seem to always command that turn early.'
We initially called Center for our clearance and were cleared as filed without a SID. We briefed that and were ready for a departure on RWY XY. After de-ice; tower was open and on call for taxi they gave us a new clearance that included [a specific] SID as filed. We plugged that into the box and looked at it as we were taxiing out in the fog (approximately 1/4 mi. vis). We did not notice the note regarding the climb in the hold to the MEA/MCA before proceeding on course. The larger threat is that the box didn't depict any type of hold at ZZZ1; just a turn prior to ZZZ1 to continue on course. On contact with Departure; they asked if we were proceeding to ZZZZZ; which we said we were; as cleared; and they mentioned that there should be a climb in hold. I then said 'yes; now we see that.' The controller said 'Yes; [those FMS's] always do this because your box sequences to the next fix without the hold. [Others] have it depicted in the box.' He said 'no problem; proceed on course.'
A320 flight crew reported deviating from the departure clearance after takeoff.