disunity(n = noun.state) - lack of unity (usually resulting from dissension);
is a kind of disagreement, dissension, dissonance

N  disjunction, disconnection, disunity, disunion, disassociation, disengagement, discontinuity, abjunction, cataclasm, inconnection, abstraction, abstractedness, isolation, insularity, insulation, oasis, island, separateness, severalty, disjecta membra, dispersion, apportionment, separation, parting, circumcision, detachment, segregation, divorce, sejunction, seposition, diduction, diremption, discerption, elision, caesura, break, fracture, division, subdivision, rupture, compartition, dismemberment, dislocation, luxation, severance, disseverance, scission, rescission, abscission, laceration, dilaceration, disruption, abruption, avulsion, divulsion, section, resection, cleavage, fission, partibility, separability, fissure, breach, rent, split, rift, crack, slit, incision, dissection anatomy, decomposition, cutting instrument, buzzsaw, circular saw, rip saw, separatist, disjoined, discontinuous, multipartite, abstract, disjunctive, secant, isolated, insular, separate, disparate, discrete, apart, asunder, far between, loose, free, unattached, unannexed, unassociated, unconnected, distinct, adrift, straggling, rift, reft, scissile, divisible, discerptible, partible, separable, separately, one by one, severally, apart, adrift, asunder, in twain, in the abstract, abstractedly.