N. posterity, progeny, breed, issue, offspring, brood, litter, seed, farrow, spawn, spat, family, grandchildren, heirs, great-grandchild, child, son, daughter, butcha, bantling, scion, acrospire, plumule, shoot, sprout, olive-branch, sprit, branch, off-shoot, off-set, ramification, descendant, heir, heiress, heir-apparent, heir- presumptive, chip off the old block, heredity, rising generation, straight descent, sonship, line, lineage, filiation, primogeniture

Adj. filial, diphyletic

Phr. "the child is father of the man", "the fruit doesn't fall far from the tree", "like father, like son"