is a specific kind of: escape, flight.

derivation: break loose, escape, get away | break away, bunk, escape, fly the coop, head for the hills, hightail it, lam^v1, run, run away, scarper, scat, take to the woods, turn tail.

is a specific kind of: go away, go forth, leave.

is a broader term that covers: flee, fly, take flight | skedaddle.

derivation: getaway, lamⁿ¹ | fleer, fugitive, runaway.

is a specific kind of: beat, beat up, work over.

verb group: bat, clobber, cream, drub, lick, thrash.

derivation: beating, drubbing, lacing, licking, thrashing, trouncing, whacking | flail.