  In the present article we define an integral analogue of Chow-K\"unneth
decomposition for \'etale motives. By using families of conservative functors
we are able to establish a decomposition of the \'etale motive of commutative
group schemes over a base and we relate to an integral \'etale Chow-K\"unneth
decomposition of abelian varieties. For a projective variety $X$ of dimension
$d$ over an algebraically closed field, we construct integral sub-motives
$h^1_{\text{\'et}}(X)$ and $h^{2d-1}_{\text{\'et}}(X)$ of the motive
$h_{\text{\'et}}(X)$.
