In $\mathbb{Z}/16$ write down all the cosets of the subgroup H={[0],[4],[8],[12]}.
This is what I have:
o+[0]
1+[0]
2+[0]
3+[0]
0+[4]
1+[4]
2+[4]
3+[4]
0+[8]
1+[8]
2+[8]
3+[8]
0+[12]
1+[12]
2+[12]
3+[12]
Is this right or am I missing some cosets?