Will the axle shaft on the other side come out? If so, remove that one and use a piece of pipe or a long steel bar inserted from the side with the missing axle to tap the sticky one out. You've probably got a burr somewhere that's keeping the spline from sliding out of the side gear. Don't get violent with it- - - -just give it a few firm taps with a BFH.
Jerry

"It is better to be silent and be thought a fool than to speak and eliminate all doubt!" - Abraham Lincoln
Cringe and wail in fear, Eloi- - - - -we Morlocks are on the hunt!
There is nothing noble in being superior to your fellow man; true nobility is being superior to your former self. - Ernest Hemingway
Love your enemies and drive 'em nuts!