What is the Anglican teaching on Hell? What is the official teaching on hell in the Church of England? (Anglican).  Please include sources.

The 39 articles of faith make no mention of hell, so what other source makes statement on the doctrine of hell?
Here is a list of all the official Anglican statements of belief that talk about hell:
The 39 Articles of Religion
Contrary to what you say, the 39 Articles do mention hell, in Article 3:

As Christ died for us, and was buried; so also it is to be believed, that he went down into Hell.

The Book of Common Prayer
The word &quot;hell&quot; appears in two contexts in the BCP: the Apostles' Creed (Morning Prayer, Evening Prayer, and the three baptism services), and the Athanasian Creed:

that he went down into hell, and also did rise again the third day (Apostles)
Who suffered for our salvation: descended into hell; rose again the third day from the dead (Athanasian)

Summary
And that's it. The Church of England has no other statements of faith that we can use. There are no other authoritative documents that can give an official answer. Beyond the statement that Christ descended into Hell after his death, the Church of England has no official teaching on the subject.
Obviously Anglicans (individually, and often corporately) have more complex and deeper beliefs about Hell, but these are the only official statements.