It's an entirely different world, make sure you want to transition and it will be highly dependent on organization so talk to the org and work out a path, or talk to managers in other companies to see about it.

Always easier within the org though, your placement will depend on the opinion of one or two people ultimately.

It's much more difficult to change jobs as 'software manager' they tend not to hire like that, it's odd and good managers are not valued enough.

In many orgs they skip manager and just go to directors.