multiple contact lists on iphone but only one contact list in icloud

on my phone:

I have 5 contact lists on my iPhone gmail 1071, yahoo1 170, yahoo2 143

the iCloud list. 329

On my computer I have one icloud list which seems to be inclusive all contacts.

I want one contact list on my Iphone and another on my computer (backup)

how do I do that?

Thank you