What can you say about a subgroup of D3 that contains R240 and a reflection F? What can you say about a subgroup of D3 that contains two reflections?

8E. What can you say about a subgroup of that contains and a reflection F? What can you say about a subgroup of that contains two reflections?

Step By Step Solutions

Step 1 of 2

Let be a subgroup of .

If a subgroup of contains and F, then , and are elements of .

That is,

Thus