We don't have synonyms for orderite yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are ordering, siderite and cordierite.
(n) :
Alternative letter-case form of orderite; a member of a specified (real or notional) Order (for example, the United Order or the New World Order). [(rare) A member of an order.]
(n) :
Alternative letter-case form of orderite; a member of a specified (real or notional) Order (for example, the United Order or the New World Order). [(rare) A member of an order.]