multiple lot owning company dominating executive committee

Hi all, 

Big problem with a strata involving commercial and residential owners with about 40 lots. 

7 commercial lots are owned by one company and have approximately 23-24% of unit entitlements. 

The company has 3 directors.

As a company that owns 7 lots, are the company directors allowed to nominate up to 7 people on the executive committee? 

Are they allowed to nominate all 3 directors and then use their unit entitlements to put 3 people on the executive. 

If so, are they able to vote for themselves or must they rely on other lot owners for each of their nominations? 

Am I right in assuming they can call for a poll vote in the election of EC members?

thanks in advance. I’m really struggling to unravel this one!