A trade mark is not the same as the company name; although sometimes they are the same but often confusion arises. A trade mark is used in connection with the product or services whereas the company name is used to distinguish the company.
Company names are registered on the Company Register at Companies House which is separate from registering trade marks on the Trade Marks Register.
The rules for acceptable company names are different from the criteria used to assess registerable trade marks.
It is possible to object to other people registering company names which are similar to your trade marks. Consider the well-known trade mark COCA COLA which was used successfully to object to a person seeking to register Coca Cola Ltd rather than the owner The Coca Cola Company Ltd. It is also possible to object to other people registering their trade marks which are similar to your company name, although this is significantly easier when relying upon your own registered trade mark.