CPSC's HTS list gives a product category, not citation codes. These rows of CPSC's citation list mention "child chairs" products by name. It is a text match, not a CPSC mapping: you decide which rules apply to your product, and others (for example lead or phthalate limits on children's products) may apply too.
123116 CFR 1231: Safety Standard for High ChairsCPC
123216 CFR 1232: Safety Standard for Children's Folding Chairs and Children's Folding StoolsCPC
123316 CFR 1233: Safety Standard for Portable Hook-On ChairsCPC
123716 CFR 1237: Safety Standard for Booster SeatsCPC
Customs entries use all ten digits, so check the exact line. If a certificate applies, the data goes to your broker as seven data elements, or into the Product Registry. Filing ten or more products? Check the bulk CSV first.