In plain English
FAR 52.204-5, Women-Owned Business (Other Than Small Business), is a solicitation provision prescribed at FAR 4.607(a), most recently dated Oct 2014. The complete official text is reproduced below, verbatim, from GSA's published FAR source files.
Its text contains no sentence requiring insertion into subcontracts; see the flowdown section below for what that does and does not mean.
Does it flow down to subcontracts?
No flowdown mandate found in the clause text
This is a solicitation provision — it applies to offerors when submitting an offer, not to contract performance, so subcontract flowdown is generally not the operative question for it.
Where it's prescribed
As prescribed in 4.607(a), insert the following provision:
Prescribing reference: FAR 4.607(a).
The official text, verbatim
As prescribed in 4.607(a), insert the following provision:
Women-Owned Business (Other Than Small Business) (Oct 2014)
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(a) Definition."Women-owned business concern," as used in this provision, means a concern that is at least 51 percent owned by one or more women; or in the case of any publicly owned business, at least 51 percent of its stock is owned by one or more women; and whose management and daily business operations are controlled by one or more women.
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(b) Representation. [Complete only if the offeror is a women-owned business concern and has not represented itself as a small business concern in paragraph (c)(1) of FAR 52.219-1, Small Business Program Representations, of this solicitation.] The offeror represents that it □ is a women-owned business concern.
(End of provision)