Managers with permission to publish schedules can choose to publish all or only certain positions or groups of positions for a week (“Partial Publishing).
Or, if your groups do NOT share employees, and you do not need to see a combined view of schedules or allow employees to see each other’s schedules, you might consider creating a linked WhenToWork account for your different scheduling groups. This way each group can maintain and control their schedules independently, and the accounts will be linked for billing purposes (so one payment will cover the combined number of employees in all of your linked accounts).
The pricing is the same whether you keep your employees in one account, or split them into several linked accounts. Since the employees and managers cannot see the data from another account, they would only be able to see the data within their own account.