Geometric Significance of the Dihedral Group D/o

[sillyquestions]

Consider the dihedral group D/o, generated by x and y where o(x)=2 and o(y)=5
What is the geometric significance of D/o?
Which of G/<x> and G/<y> are well defined groups? Give reasons?

 

[Hurkyl]

Well, this sounds like homework... so what have you tried on this problem?

BTW, it might help to define your symbols, so that we don't have to make guesses like:

G is supposed to be D/o
o(x) is supposed to be the order of the element x. (in G?)
I actually have no idea what the o in D/o is...