FLC OF MLG TAXIED ONTO TAXIWAY WITHOUT COMMUNICATING WITH GND CTLR.

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FLT PUSHED OFF GATE AFTER CONTACTING RAMP CTL. WHEN READY TO TAXI WE CONTACTED GATE HOLD ON 125.05 AS WE WERE INSTRUCTED TO DO BY CLRNC DELIVERY. GATE HOLD TOLD US NO DELAYS AND I UNDERSTOOD THEM TO SAY TAXI OUT FR ON THE INNER. WE FOLLOWED THESE INSTRUCTIONS AND WERE TOLD TO MONITOR GND 121.9. WE TAXIED DOWN THE INNER AND WERE IN THE VICINITY OF H TAXIWAY. AS WE CONTACTED GND CTL THEY ASKED US WHO CLRED US DOWN THE INNER. I RESPONDED THE GUY ON 125.05. GND CTL SAID THIS WAS THE FIRST HE HEARD OF IT. THE CAPT STOPPED THE ACFT AND ASKED FOR FURTHER INSTRUCTIONS. WE WERE CLRED 2 L TURNS AND TAXI BACK ON THE OUTER. WE MADE THE TURNS AT J THINKING WE WERE BEING SENT TO 22R WHICH ALONG WITH 31L WAS BEING USED FOR TKOF. AT THIS POINT GND CTL TOLD US THEY WANTED US TO MAKE THE L TURNS AT MA NOT J. WE FINALLY GOT ALL THE COM STRAIGHT; MADE A L AT H; L ON THE INNER AND TAXIED TO KK FOR TKOF. FACTORS THAT CONTRIBUTED INCLUDED HUSTLING TO MAKE AN ON- TIME DEP MAKING AN UNSCHEDULED ACFT SWAP; COMPLICATED ATC PROCS AND BEING TOLD TO MONITOR GND CTL INSTEAD OF MAKING POSITIVE CONTACT.