Abstract Algebra- A simple problem with Cosets

[gipc]

I need to find all the cosets of the subgroup H={ [0], [4], [8] ,[12] } in the group Z_16 and find the index of [Z16 : H].


Help would be appreciated :)

 

[Office_Shredder]

You have to show what work you've done so far. Do you know how to calculate the index at least?

 

[gipc]

I didn't do much work because I'm not sure how to get started on this subject. I've just started this material and I would appreciate if someone showed me how to calculate the coset in a relatively easy question.

 

[Office_Shredder]

Do you know what coset [1]+H looks like?