|
%I #27 Feb 11 2021 23:27:09
%S 60,6,12,8,55,18,56,16,27,30,253,24,351,42,60,32,1020,54,1140,40,84,
%T 66,1081,48,125,78,81,56,1711,90,992,64,132,102,280,72,2220,114,156,
%U 80,2460,126,2580,88,135,138,2820,96,343,150,204,104,3180,162,605,112,228,174,3540,120,3660
%N Smallest order of a non-abelian group with a commutator subgroup of index n.
%C By Lagrange's Theorem a(n) is a multiple of n.
%H Bob Hefferman, <a href="/A341293/b341293.txt">Table of n, a(n) for n = 1..255</a>
%e Examples for small n:
%e n a(n) group
%e 1 60 A5
%e 2 6 S3
%e 3 12 A4
%e 4 8 D8
%e 5 55 C11 : C5
%e 6 18 C3 x S3
%e 7 56 (C2 x C2 x C2) : C7
%e 8 16 (C4 x C2) : C2
%e 9 27 (C3 x C3) : C3
%e 10 30 C5 x S3
%e 11 253 C23 : C11
%e 12 24 C3 x D8
%Y Cf. A001034, A340518.
%K nonn
%O 1,1
%A _Bob Heffernan_ and _Des MacHale_, Feb 05 2021
|
