%I #25 May 13 2023 23:50:58
%S 88,152,184,196,204,210,248,330,344,348,376,390,462,472,484,492,536,
%T 568,570,632,636,664,714,770,824,856,858,966,1016,1048,1068,1110,1112,
%U 1208,1212,1230,1254,1290,1304,1326,1336,1356,1430,1432,1444,1518,1528,1592,1644
%N Numbers m such that there are precisely 12 groups of order m.
%H Jorge R. F. F. Lopes, <a href="/A249555/b249555.txt">Table of n, a(n) for n = 1..1512</a>
%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>
%t Select[Range@ 2074, FiniteGroupCount@ # == 12 &] (* _Michael De Vlieger_, Oct 16 2017. Note: extending the range to 2075 and further will result in incorrect output. - _Andrey Zabolotskiy_, Oct 27 2017 *)
%o (GAP) A249555 := Filtered([1..2015], n -> NumberSmallGroups(n) = 12); # _Muniru A Asiru_, Oct 16 2017
%Y Cf. A000001. Cyclic numbers A003277. Numbers m such that there are precisely k groups of order m: A054395 (k=2), A055561 (k=3), A054396 (k=4), A054397 (k=5), A135850 (k=6), A249550 (k=7), A249551 (k=8), A249552 (k=9), A249553 (k=10), A249554 (k=11), this sequence (k=12), A292896 (k=13), A294155 (k=14), A294156 (k=15), A295161 (k=16), A294949 (k=17), A298909 (k=18), A298910 (k=19), A298911 (k=20).
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Nov 01 2014