For a general cubic fourfold\documentclass[12pt]{minimal}
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				\begin{document}$$X\subset \mathbb {P}^5$$\end{document}X⊂P5with Fano varietyF, we compute the Hodge numbers of the locus\documentclass[12pt]{minimal}
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				\begin{document}$$S\subset F$$\end{document}S⊂Fof lines of second type and the class of the locus\documentclass[12pt]{minimal}
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				\begin{document}$$V\subset F$$\end{document}V⊂Fof triple lines, using the description of the latter in terms of flag varieties. We also give an upper bound of 6 for the degree of irrationality of the Fano scheme of lines of any smooth cubic hypersurface.