Identity of self x Group identity: Your identity, who you are as a person distinguishes you from everyone else, makes you unique. You are an individual and no one else is exactly like you, but what makes you the person you are? On the other hand a group identity refers to an individuals sense of belonging to a group, forming a part of his or her personal identity. Basically that is the difference.
An identity of self is what makes you who you are. The people you meet, the music you listen to, where you live, how you were raised all has an impacts on you. Examples: Life experiences, values, culture and interests. It is composed of relatively permanent self-assessments, such as personality attributes, knowledge of one's skills and abilities, one's occupation and hobbies. And It is not restricted to the present. It includes past selves and future selves. Refers to the global understanding a person has of themselves.
An identity of community is the shared sense of belonging to a group. It is conceptualized as individuals’ identifications of, identifications with, or attachment to certain groups. Example: Group of Asian Americans. Globally cultures interact and thrive. Although there are hardships such as trying to keep their original culture. At its core, the concept describes social influence within a group. This influence may be based on some social category or on interpersonal interaction among group members. Which can be based too on social comparison.