Social groups have two types of groups that can be define by primary groups and secondary groups:

Primary groups 

A primary group is a minor social group whose participants share personal and lasting relationships. People joined in primary relationships spend a countless deal of stage together, engage in a wide range of activities, and feel that they know one another well. In short, they show real apprehension for one another. In every society, the family is the most important primary group. Groups based on permanent friendships are also primary groups.

Secondary groups 

In contrast to primary groups, are large groups involving formal and institutional relationships. Secondary relationships involve weak emotional ties and little personal knowledge of one another. Most secondary groups are short term, beginning and ending without particular significance. They may last for years or may disband after a short time. The formation of primary groups happens within secondary groups.

Some examples of types of groups include the following:

 Peer 

 Group is both a social group and a primary group of people. Peer group may be defined as a group of people who share similarities such as age, background, and social status, with whom a person is associated, and who are likely to influence the person’s beliefs and behaviour Members of a particular peer group often have similar interests and backgrounds, and are bonded by the premise of sameness

Clique 

In the social sciences, the word "clique" is used to describe a group of 2 to 12 (averaging 5 or 6) "persons who interact with each other more regularly and intensely than others in the same setting". Interacting with cliques is part of normative social development regardless of gender, ethnicity, or popularity. Although cliques are most commonly studied during adolescence and middle childhood, they exist in all age groups.

Club 

A dance club 

A club is an association of two or more people united by a common interest or goal  service club, for example, exists for voluntary or charitable activities; there are clubs devoted to hobbies and sports, social activities clubs, political and religious clubs, and so forth.

Team

A team comprises a group of people or  animals linked in a common purpose. Teams are especially appropriate for conducting tasks that are high in complexity and have many interdependent subtasks.

A group in itself does not necessarily constitute a team. Teams normally have members with complementary skills and generate synergy through a coordinated effort which allows each member to maximize his/her strengths and minimize his/her weaknesses. Team members need to learn how to help one another, help other team members realize their true potential, and create an environment that allows everyone to go beyond their limitations.