Subjugate rhymes with:
abrogate, castigate, congregate, corrugate, delegate, desegregate, fumigate, instigate, interrogate, investigate, irrigate, koreagate, mitigate, navigate, obligate, propagate, relegate, segregate
Subjugate sounds like:
safest, savaged, savasta, savviest, scapegoat, scapegoated, sebesta, spaced, spacesuit, spaghetti, specht, speight, spiced, spight, spigot, spiked, spooked, sposato, sposito, subacute, subject, subjected, subjugated, subset, subside, subsided, subsidy, subsist, substitute, substituted, sufficed, suffocate, suffocated, suffused, supposed, suspect, suspected