You can apply for the EEA Family Permit UK either as a family member or extended family member. However, you need to know the eligibility criteria for applying to the visa as a family member or extended family member.
Applying as a Family Member or Extended Family Member
The extended family members include brother, sister, aunt, uncle, cousin, nephew, niece and more.
The applicants must be,
• In the UK already
• Travelling with you to the UK within 6 months of the date of your application
If they have been in UK for more than 3 months, then they must be either
• A qualified person (or)
• Have a permanent right of residence
For getting the EEA family permit, you should satisfy the following requirements,
• The non-EEA family member and the EEA national must demonstrate intent to live together
• The EEA-national partner must be exercising his or her Treaty rights in the UK - i.e. self-employment, study, employment
• The non-EEA family member and the EEA national must have met already
• The non-EEA family member and the EEA national must be travelling to the UK together, or the EEA national should already be in the UK
• The family unit must not be dependent on public funds whilst in the United Kingdom

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The extended family members include brother, sister, aunt, uncle, cousin, nephew, niece and more.