Saturated fusion systems with O₂(F)=1 on the Sylow 2-subgroup of Ω⁺₈(2) include the 2-fusion systems of Ω⁺₈(2), Ω⁺₈(2):3, PΩ⁺₈(3) and PΩ⁺₈(3):3.
Oliver, Reduced fusion systems over 2-groups of sectional rank at most 4, Memoirs of the AMS 239 (2016)
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The saturated fusion systems on a Sylow 2-subgroup of ${\Omega}^+_8 (2)$
Saturated fusion systems with O₂(F)=1 on the Sylow 2-subgroup of Ω⁺₈(2) include the 2-fusion systems of Ω⁺₈(2), Ω⁺₈(2):3, PΩ⁺₈(3) and PΩ⁺₈(3):3.