Answer to Question #145748 in Abstract Algebra for Jwee

Question #145748
Suppose that G is a group of order 60. What are the possible orders of a subgroup
H ≤ G?
1
Expert's answer
2020-11-23T18:18:27-0500

The answer to this question is provided by Lagrange's theorem : it states that if "G" is a finite group, "H \\leq G" a subgroup, then "|H| | |G|" , i.e. order of "H" divides order of "G" . Therefore the possible orders are : "1, 2, 3, 4, 5, 6, 10,12,15,20,30,60" .


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