The name should make the merged group's purpose clear
A name for a newly merged group should translate a shared purpose into a clear, usable idea for the businesses and people it brings together. Naming is not only a label for a new legal or organisational structure. It can give a wider family of businesses a common narrative around its function, purpose and future direction.
The starting point is the group's role: what it connects, enables or changes for its audiences. That role needs to be distinctive enough to separate the group from its individual businesses, while still making sense of the relationships within the portfolio. A simple name can carry significant meaning when it captures the group's position and the opportunity it creates. The name then becomes a foundation for verbal identity, visual identity, launch materials and the way the group explains itself internally and externally.
Sources: The Dot Group: Joining the Dots