General alternatives:
* Shared living facility
* Residential care facility
* Supportive housing
* Community living arrangement
More specific alternatives:
* Halfway house (for individuals transitioning from incarceration)
* Transitional housing (for individuals experiencing homelessness)
* Foster home (for children)
* Assisted living facility (for seniors)
* Group residence
* Care home
* Board and care home
Informal alternatives:
* Home for adults
* Shared housing
* Community house
The best alternative will depend on the specific context and the type of group home you are referring to.