Recently and maybe still the case, a large Orange airline operations control centre was laid out as follows:
Ops officer for LGW fleet
Ops officer(s) for EU fleet
Ops Communicator I believe looked after the Swiss fleet of aircraft
A flight planner looked after flight planning and ATC using LIDO flight planning software.
Not to sure about crewing as I think there have been allot of changes of late
Brgds,