"斜纹组织" in English can be translated as "twill weave" or "twill structure".
"Twill weave" is commonly used in textile terminology to refer to the specific weaving pattern that creates diagonal lines on the fabric surface.
"Twill structure" emphasizes the underlying arrangement of the warp and weft yarns that forms the twill pattern.
Both terms are accurate, and the choice between them may depend on the context or the specific focus of the discussion.