Mathematics · Abstract Algebra - Group Actions
A finite group G acts on a finite set X. For a specific element x in the set X, the size of its orbit is determined to be 18, and the size of its stabilizer subgroup is determined to be 12. Calculate the total order (number of elements) of the group G.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1216✓
- 2206
- 3144
- 430
Correct answer
216
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Preparing for Mathematics?
Practice full-length Mathematics mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Abstract Algebra - Group Actions MCQs →Want more practice questions on Abstract Algebra - Group Actions?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Abstract Algebra - Group Actions