subgroup of order 5

[Dhruvil]

Suppose G is a group that has exactly 48 distinct elements of order 5. How many distinct subgroups of order 5 does G have?

Ans given is 12

Can anyone help me to solve this question ?

 

[Steven G]

You ask for help but you failed to state what type of help you need. This is a math help forum where we prefer to help students solve their own problems and not just do it for them.

Here is a hint: One such subgroup would be { e, a, a^2, a^3, a^4}