Awe is a brief moment, an instant.
Epic is a long story, an era.
Epic contains awe, therefore epic is bigger than awe.

http://www.merriam-webster.com/dictionary/awe
«… an emotion …»

http://www.merriam-webster.com/dictionary/epic
«… extending beyond the usual or ordinary especially in size or scope …»
or, better still:
«… of, relating to, or having the characteristics of an epic …»
being a poem a **set** of emotions, it can contain **awe**, but awe cannot contain epic.

This proves, beyond any doubt, that **epic** is bigger than **awe**.