Afaik, there were four main versions of Windows 3.1:
Windows 3.1 (3.10)
Windows 3.11 (free update for 3.1)
Windows for Workgroups 3.1 (3.10, +286, aka "Windows for Warehouses")
Windows for Workgroups 3.11 (+386)
Other versions were Windows for PenComputing, Windows 3.2 (for chinese market), Win-OS/2, IBM embOS and
maybe a few more for special purposes.
It's also worth noting that the original WfW version did work on 286 machines, but only in client mode.
Sharing resources was only possible on +386 machines enhanced mode.
It also had a different network stack and used an older NDIS architecture. Network drivers for 3.11 didn't work on 3.1.
Both can use an existing DOS network, though.
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