# Math Help - using the Lagrange Theorem

1. ## using the Lagrange Theorem

Suppose G is a group of order 48 and H is a subgroup of order 12, then how many distant right cosets of H are there in G?

I thought it was 6. Am I right? If not can u show me which why to go?

2. Originally Posted by tigergirl
Suppose G is a group of order 48 and H is a subgroup of order 12, then how many distant right cosets of H are there in G?

I thought it was 6. Am I right? If not can u show me which why to go?

Lagrange's theorem: if $G$ is a finite group and $H\leq G$ then $|G|=[G:H]\cdot |H|$ .

Now you can see your mistake.

Tonio