I'm not sure what you are looking at but it appears to be the IP address ranges that are reserved by the IANA (Internet Assigned Numbers Authority) for use in Local Area Networks:
10.0.0.0 - 10.255.255.255
172.16.0.0 - 172.31.255.255
192.168.0.0 - 192.168.255.255
You will almost certainly be using addresses in a 192.168.x.x range with your Home Hub, so you want to give the Print Server a fixed IP address in the same range (Subnet). For example, if the Home Hub's IP address is 192.168.1.1 and your PC has been allocated an address of 192.168.1.2 by the Hub, then give the Print Server a fixed address of 192.168.1.3 with the Subnet Mask address of 255.255.255.0
The first three "octets" (numbers) of the IP address must be the same for all devices in your network, but you can give the Print Server a fourth "octet" of any number between 1 and 254 that isn't already in use. The numbers in use will be those of the Hub itself and any network adapters that are connected to it.
The IP address starting with "81" will be the one allocated by your ISP to your broadband connection - your "public" IP address.