Bacilli is the plural form of bacillus. Bacilli refers to the
class of bacteria that includes the orders of Bacillales and
Lactobacillales.
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The order of the species S. aureus is Bacillales. (The domain, kingdom, phylum, and class are Bacteria, Eubacteria, Firmicutes, and Bacilli, respectively.)
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Prokaryotes: Bacteria
Bacilli refers to a taxonomic class of bacteria. It includes two
orders, Bacillales and Lactobacillales, which contain several
well-known pathogens like Bacillus anthracis (the cause of
anthrax).