How to write the coset for the following quotient group

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I would like to know for the following question, Let $E$ be the group of even integers and $N$ the subgroup of all multiples of 8.

The cosets for the quotient group $E/N$, mathematical notation can be written as$$ Ea = \{a \pmod 8 \mid \forall a\in 2t,\, t\in Z\}. $$Is that correct? Thank you in advance.

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1 Answer

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Write $aN = \{ an\mid n\in N\}$ with $a\in E$. Cosets are $N, 2N, 4N, 6N$.

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