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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

Index entries for sequences related to 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.)