# In group theory, what is a complete and incomplete representation?

In group theory, what is a complete representation and what is an incomplete representation?

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Another possibility is that you could call a representation of a proper subgroup $H<G$ an incomplete representation of G. That is to say, not all members of $G$ are represented in the image.
Thanks for your answer (and advice :p). I read it in a paper talking about the group $E_6$ and saying: a complete 27 representation of $E_6$. And the paper mentions another incomplete 27 rep, in the sense that not all members of the 27 are there. – user09876 Jun 23 '12 at 21:01