ISAs can be managed directly or via an ISA Family Account. You cannot link ISA accounts to your standard Family Account.
Why can I not link an ISA to my existing Family Account?
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How do I link my individual account to a Family Account?
How do I link an individual ISA to my ISA Family Account?
Can I link my family’s ISAs and GIAs under one Family Account?
Can I invite my family member to open an ISA account directly from the Family Account portal?