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Involution centralizers in $\mathrm{PCSO}^{+}(8,3)$
According to Table 4.5.1 of [1], there should be 10 classes of involutions of type "p" and "e" in $\operatorname{Aut}(K)$ where $K=K_a=P\Omega^{+}(8,3)$.
And Table 4.5.1 also gives ...