A subnet mask can be found in the same manner used to find your IP address. Do you have a PC? Go to start then click on run.
Type "cmd" in the run window. A DOS window will open. Type "ipconfig /all" then hit enter.
The open DOS window will populate with the subnet mask, IP address, gateway etc.
I don't think there is a way except calling your ISP/network admin to find out about it. But you can attempt following. An ICMP type 17 message, is a mask request.
An ICMP type 18 is an ICMP mask reply. So you can use icmpush tool to build custom icmp packet and can request mask of the host. But remember not all routers and systems allow all icmp responses.
But according to this document(page no. An Address Mask Request to another network. Receive a reply.
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