Here's what rhymes with dicastic.
elastic clastic mastic plastic drastic dynastic stochastic spastic gymnastic monastic scholastic inelastic sarcastic aplastic bombastic periphrastic fantastic ecclesiastic viscoelastic orgiastic nonelastic enthusiastic neoplastic hyperplastic hypoplastic iconoclastic thermoplastic interscholastic unenthusiastic overenthusiastic Words that almost rhyme with dicastic
gastric classic gigantic erratic lactic tactic magic static fabric graphic panic semantic dogmatic emphatic frantic catholic didactic ecstatic manic synaptic galactic pedantic phallic tannic slapstick stigmatic malefic matchstick dramatic dynamic organic traffic automatic romantic tragic hepatic ceramic climatic pragmatic schematic somatic thematic thoracic traumatic autocratic enigmatic lymphatic mechanic pneumatic rheumatic asthmatic chromatic climactic fanatic operatic prismatic tympanic italic magmatic pelagic phlegmatic spermatic titanic astigmatic ataxic botanic sycophantic tyrannic baldric priapic democratic diplomatic geographic metallic psychiatric aromatic inorganic pancreatic volcanic barbaric nomadic oceanic pediatric prophylactic prostatic sporadic aliphatic cephalic cinematic galvanic geriatric glutamic kinematic ophthalmic panoramic presynaptic thalamic achromatic heraldic idiomatic satanic syllabic theocratic zygomatic acrobatic bimetallic paediatric schismatic biographic disyllabic neoclassic unemphatic apparatchik aerobatic systematic aristocratic bureaucratic demographic photographic charismatic enzymatic hemorrhagic metastatic axiomatic emblematic messianic postsynaptic programmatic telegraphic topographic anaphylactic diagrammatic haemorrhagic lithographic muriatic psychopathic splanchnic technocratic tomographic undemocratic chiropractic epigrammatic isobaric typographic unromantic intergalactic numismatic panchromatic plutocratic undramatic photostatic xerographic problematic symptomatic ethnographic hydrostatic idiosyncratic radiographic aerodynamic bibliographic nostalgic paradigmatic pornographic psychosomatic angiographic cartographic diaphragmatic holographic intrahepatic orthographic orthostatic antidemocratic stenographic anticlimactic calligraphic meritocratic nondemocratic osteopathic polysyllabic thermostatic nondramatic phonographic undiplomatic asymptomatic cytoplasmic electrostatic hypothalamic thermodynamic endoplasmic hemodynamic melodramatic monochromatic psychodynamic stratigraphic transatlantic homeostatic iconographic intrathoracic monosyllabic posttraumatic unsystematic nonmetallic oceanographic autobiographic choreographic semiautomatic seismographic unidiomatic chromatographic hydrodynamic protoplasmic unproblematic lexicographic transoceanic homoeostatic crystallographic cinematographic electrocardiographic electroencephalographic