Smaller, large companies.
Often firms are classified as small, medium or large. Different definitions of the categories apply for different purposes, in different jurisdictions and in formal and informal use.
A common grouping is Small and Medium-sized Enterprises (SMEs). They may benefit from easier financial reporting requirements, tax provisions or eligibility for various government-provided support.
Most firms are small, some are medium-sized and few are large. But the size of firms in the large category vary greatly. It has become useful to distinguish smaller large companies for some purposes.
For example, in European Union usage, SMEs do not exceed €43m in turnover while large companies turn over many billions. Opportunities of many kinds vary materially with a firm's size, for example, the available range of investment and financing opportunities.
No doubt terminology will continue to develop until its use in law and regulation makes further change more difficult or confusing.