There are many cryptograms to unlock. Here's the general idea..

ORIGINAL (The Trinity): Requires 35 pieces each
Into Battle! Time To Dine! Uncontrollable!

BLOODLINE (Male/Female for each Bloodline): Requires 8 pieces each
Nosferatu Male, Nosferatu Female
Muroni Male, Muroni Female
Gayal Male, Gayal Female
Varaco Male, Varaco Female

Whatever Bloodline you are, is the type you will collect during missions and battles. If you want to complete the other pieces, you will need to get them as a gift, from another player, who is of that Bloodline.