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Based on (2712. 414. 1) 10^6 (3686) events collected with the BESIII detector, we study the decays h₂3 (^+^-) ^0, h₂2 (^+^-), h₂2 (^+^-) ^0, h₂2 (^+^-), and h₂ pp via (3686) ^0h₂. The decay channel h₂3 (^+^-) ^0 is observed for the first time, and its branching fraction is determined to be (9. 28 1. 14 0. 77) 10^{ - 3}, where the first uncertainty is statistical and the second is systematic. In addition, first evidence is found for the modes h₂ 2 (^+^-) ^0 and h₂2 (^+^-) with significances of 4. 8 and 4. 7, and their branching fractions are determined to be (7. 551. 510. 77) 10^-3 and (4. 00 0. 86 0. 35) 10^{ - 3}, respectively. No significant signals of hc 2 (^+^-) and h₂ pp are observed, and the upper limits of the branching fractions of these decays are determined to be <6. 1910^-4 and <4. 4010^-5 at the 90% confidence level, respectively.
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