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The query [[Fact about.Page::Quotient-closed group property]] was answered by the SMWSQLStore3 in 0.0077 seconds.

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Abelianness is quotient-closed, Ambivalence is quotient-closed, Baer Lie property is not quotient-closed, Class-inverting automorphism induces class-inverting automorphism on any quotient, Glauberman type is not quotient-closed, Having subgroups of all orders dividing the group order is not quotient-closed, Lazard Lie property is not quotient-closed, Local finiteness is quotient-closed, Nilpotency of fixed class is quotient-closed, P-constraint is not quotient-closed, Residual finiteness is not quotient-closed, Schur-triviality is not quotient-closed