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 A054397 Numbers n such that there are precisely 5 groups of order n. 21
 8, 12, 18, 20, 27, 50, 52, 68, 98, 116, 125, 135, 148, 164, 171, 212, 242, 244, 273, 292, 297, 333, 338, 343, 356, 388, 399, 404, 436, 452, 459, 548, 578, 596, 621, 628, 651, 657, 692, 722, 724, 741, 772, 777, 783, 788, 825, 855, 875, 916, 932, 964, 981 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Muniru A Asiru, Table of n, a(n) for n = 1..120 H. U. Besche, B. Eick and E. A. O'Brien, The Small Groups Library Gordon Royle, Numbers of Small Groups FORMULA Sequence is { k | A000001(k) = 5 }. - Muniru A Asiru, Nov 03 2017 EXAMPLE For n = 8, the 5  groups of order 8 are C8, C4 x C2, D8, Q8, C2 x C2 x C2 and for n = 12 the 5 groups of order 12 are C3 : C4, C12, A4, D12, C6 x C2 where C, D, Q  mean Cyclic, Dihedral, Quaternion groups of the stated order and A is the Alternating group of the stated degree. The symbols x and : mean direct and semidirect products respectively. - Muniru A Asiru, Nov 03 2017 MATHEMATICA Select[Range[10^4], FiniteGroupCount[#] == 5 &] (* Robert Price, May 23 2019 *) PROG (GAP) A054397 := Filtered([1..2015], n -> NumberSmallGroups(n) = 5); # Muniru A Asiru, Nov 03 2017 CROSSREFS Cf. A000001, A003277, A054395, A054396, A055561, A054397, A135850. Sequence in context: A228056 A187042 A285508 * A075818 A090738 A085103 Adjacent sequences:  A054394 A054395 A054396 * A054398 A054399 A054400 KEYWORD nonn AUTHOR N. J. A. Sloane, May 21 2000 EXTENSIONS More terms from Christian G. Bower, May 25 2000 STATUS approved

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Last modified August 4 13:38 EDT 2020. Contains 336201 sequences. (Running on oeis4.)