Here's what rhymes with sympathicolytic.
lytic critic syphilitic analytic catalytic hemolytic granitic arthritic haemolytic dendritic paralytic hydrolytic impolitic nephritic zoophytic psychoanalytic parasitic electrolytic proteolytic porphyritic saprophytic encephalitic cenobitic thrombolytic coenobitic fibrinolytic antisemitic hermaphroditic Words that almost rhyme with sympathicolytic
acidic philippic juridic phenotypic bromidic lyric lithic artistic civic clinic cystic mystic rhythmic mimic mythic acrylic ballistic citric cryptic ecliptic elliptic limbic lipstick physic cynic thymic gimmick triptych diptych periwig nitpick realistic terrific apocalyptic holistic picnic simplistic autistic dualistic horrific idyllic logistic pacific rabbinic sadistic satiric socialistic synergistic theistic fatalistic juristic legalistic patristic egotistic surrealistic voyeuristic arrhythmic dipstick inartistic sophistic flyspeck sylphic specific intrinsic stylistic unrealistic extrinsic heuristic idealistic individualistic journalistic mechanistic monolithic prolific statistic moralistic paternalistic ritualistic animistic atheistic egoistic empiric hedonistic honorific monistic neolithic novelistic syllogistic megalithic shamanistic aphoristic bulimic feudalistic pinprick casuistic polyclinic puristic nonrhythmic scientific linguistic antagonistic optimistic humanistic logarithmic materialistic monopolistic nationalistic naturalistic pessimistic altruistic anachronistic capitalistic hemispheric hydrophilic pluralistic rationalistic algorithmic basophilic carboxylic cataclysmic communistic futuristic hieroglyphic imperialistic metaphysic oligopolistic organismic polycystic positivistic cannibalistic chauvinistic eulogistic euphemistic jingoistic palaeolithic pugilistic belletristic nepotistic characteristic deterministic nonspecific narcissistic opportunistic unscientific antiarrhythmic eosinophilic impressionistic militaristic monotheistic pantheistic universalistic patronymic polytheistic unspecific paleolithic pantomimic probabilistic relativistic uncharacteristic spiritualistic stratospheric expressionistic nonscientific overoptimistic transpacific sociolinguistic