Yes, after-school programs are qualified Child Care costs you can claim using the credit. The Child and Dependent Care Credit is designed to help families pay for child care while working or actively seeking employment. To qualify for Child Care Credit the following have to be met:
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Your dependent qualifying child who is under age 13 when the care is provided,
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Your spouse who is physically or mentally incapable of self-care and who has the same principal place of abode as you for more than half of the year, or
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Your dependent who is physically or mentally incapable of self-care, and who has the same principal place of abode as you for more than half of the year. For this purpose, whether an individual is your dependent is determined without regard to the individual's gross income, whether the individual files a joint return, or whether you are a dependent of another taxpayer.
Here's a link with more information about the Child and Dependent Care Credit: https://turbotax.intuit.com/tax-tips/family/the-ins-and-outs-of-the-child-and-dependent-care-tax-cre...