The end date for maintenace is a bit of a grey area - with the typical Consent Order or court order stating that maintenance will continue until the end of secondary education (which excludes university).
Some courts will award maintenance until the end of tertiary education (i.e. uni) based on the families circumstances.
In your case I am assuming that you have an order already. As long as the order doesn't specifically exclude you from applying for an extension then you should be able to - though there is no guarantee that it will be granted.
What is vital is that you must apply for an extension of a maintenance order before it expires - because once it has then it is too late.
If that happens then your daughter can apply to the court directly for maintenance from her father.