A question on terminology (Group Theory)

Is there a standard adjective to describe a finite group $G$ of composite order which possesses, for each (positive) divisor $d$ of $|G|$, a subgroup of order $d$?

I would guess "Lagrangian" but I can only seem to get one hit in the literature.

Many thanks!

JTE

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We do know supersolvable groups $\subset$ CLT groups $\subset$ solvable groups, both strictly.