FLC OF AN MLG TURNED THE WRONG WAY DURING A SID DEP RESULTING IN ATC INTERVENTION TO BRING THEM BACK TO INTENDED TRACK.

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OUR FLT RNO TO OAK ON DEC/XX/95. CLRNC WAS WAGGE 1 TO MADWN 3 (ARR) TO OAK. THERE WAS NO TRANSITION GIVEN IN THE CLRNC FOR THE WAGGE 1 OR AN EXPECTED CLRNC. WHILE LOOKING AT THE WAGGE 1 DEP AND THE MADWN 3 ARR PLATES THE ONLY CONNECTION SEEMED TO BE THE MUSTANG (FMB) TRANSITION. MUSTANG VOR WAS ON BOTH PLATES. WE ASSUMED (WHICH WAS A MISTAKE; SINCE WE WERE NOT FAMILIAR WITH THE ARPT AND ITS DEPS) THE MUSTANG TRANSITION WAS THE CONNECTION FROM THE WAGGE 1 DEP TO THE OAKLAND MADWN 3 ARR. WHEREUPON THE FMC'S WERE USED TO JOIN THE TWO IN THE COMPUTER. NEITHER ONE OF US AT THAT TIME WAS AWARE THAT TO FLY THE MUSTANG TRANSITION FROM WAGGE INTXN TO THE MUSTANG VOR WAS NOT THE APPROPRIATE ROUTING. ON DEP RWY 16R FLYING THE LOC TO WAGGE INTXN WE STARTED A TURN TOWARDS MUSTANG VOR FOR THE TRANSITION (A L TURN). THE CTLR THEN SAID TO INTERCEPT THE MUSTANG 182 DEG RADIAL. SINCE THAT WAS THE RADIAL WE WERE IN THE TURN FOR WE THOUGHT NOTHING OF IT UNTIL THE CTLR ASKED IF WE WERE INTERCEPTING. WE SAID YES; THEN HE SAID WE WERE GOING THE WRONG WAY AND GAVE US HEADINGS TO INTERCEPT THE RADIAL OUTBOUND. WE THEN REALIZED THE ERROR. WE WERE FLYING THE RADIAL INBOUND TO MUSTANG VOR AS IN THE PUBLISHED TRANSITION AND NOT WHAT THEY WANTED AS IN THE OUTBOUND COURSE. THIS ENTIRE PROB WAS A COMBINATION OF A LONG DAY; BAD WX; UNFAMILIAR ARPT AND A CONFUSING CLRNC WHICH CONSISTED OF A SID WITH NO GIVEN TRANSITION OR EXPECTED RTE AND AN ARR (PUBLISHED). WE WERE CONFUSED ON THE EXPECTED CONNECTION OF THE SID TO THE ARR AFTER ARRIVING AT WAGGE INTXN. GRANTED; IF WE WOULD HAVE HAD TIME TO STUDY THE CHARTS TO FIGURE OUT THE PROBABLE CONNECTION LOGICALLY WE WOULD HAVE TURNED THE RIGHT DIRECTION AND OR QUESTIONED THE CTLR AT THAT TIME. IT SEEMS THAT THIS TYPE OF CLRNC MAY NOT BE PROPER; LEADING A CREW INTO A 'TRAP.' WHY COULDN'T 'THE CLRNC' ON THE GND GIVE THE 'CONNECTION' FROM THE DEP TO THE ARR INSTEAD OF AT THE VERY POINT AT WHICH THE CONNECTION MUST BE FLOWN?