Sort by page order with get_page_children?

Using get_page_children to create a submenu on landing pages and it works great but noticed in the codex there’s no mention of order as a parameter. The order is set in the admin panel and is not being used by this function.

Should I be using a different function to create this nav?

My code, more or less:

[Code moderated as per the Forum Rules. Please use the pastebin]