Hw8 Problem 8

Return to Homework 8, Glossary, Theorems

Problem 8

Let G be a group of order 60. What are the possible orders of subgroups of G?

Solution

The possible orders of subgroup of G are $\{1, 2, 3, 4, 5, 6, 10,12,15,20,30,60\}$ by the Theorem of Lagrange.