Super Saiyan God 3 is a Super Saiyan in which can only be achieved by completing the cycle of normal Super Saiyans, this includes Super Saiyan One to Five and SSJG and SSJB. The power increase is 10,000,000,000. Even though only one person can achieve this form, and it has a major cooldown. Which can be noted as it's main weakness. Sadly, It can only be used once a year and lasts for an hour. 

Gogeta in super saiyan god 3


The appearance of it looks just like SSJ3 but the hair is red.