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%I #7 Feb 03 2021 01:01:59
%S 96,128,144,162,168,192,216,240,256,270,288,312,320,324,336,360,378,
%T 384,400,432,448,450,456,480,486,504,512,528,540,560,576,594,600,624,
%U 640,648,672,702,704,720,729,744,750,756,768,784,792,800,810,816,832,840
%N Numbers n with the property that there exists a group of order n in which some element of the commutator subgroup G' is not a commutator [x,y].
%C Every multiple of a(n) is also a term of the sequence because the direct product of a group G with any Abelian group A satisfies (GXA)' = G'.
%e a(1) = 96 because there is a group G of order 96 in which an element of G' is not a commutator.
%K hard,nonn
%O 1,1
%A _Bob Heffernan_ and _Des MacHale_, Nov 04 2008
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