In plain English
FAR 52.222-24, Preaward On-Site Equal Opportunity Compliance Evaluation, is a solicitation provision prescribed at FAR 22.810(c), most recently dated Feb 1999. 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 22.810(c), insert the following provision:
Prescribing reference: FAR 22.810(c).
The official text, verbatim
As prescribed in 22.810(c), insert the following provision:
Preaward On-Site Equal Opportunity Compliance Evaluation (Feb 1999)
If a contract in the amount of $10 million or more will result from this solicitation, the prospective Contractor and its known first-tier subcontractors with anticipated subcontracts of $10 million or more shall be subject to a preaward compliance evaluation by the Office of Federal Contract Compliance Programs (OFCCP), unless, within the preceding 24 months, OFCCP has conducted an evaluation and found the prospective Contractor and subcontractors to be in compliance with Executive Order 11246.
(End of provision)