

A249551


Numbers k such that there are precisely 8 groups of order k.


16



510, 690, 870, 910, 1122, 1190, 1330, 1395, 1410, 1590, 1610, 1770, 1914, 2002, 2210, 2346, 2470, 2490, 2590, 2618, 2670, 2706, 2745, 2926, 2958, 2990, 3094, 3102, 3210, 3230, 3290, 3390, 3458, 3465, 3498, 3710, 3770, 3894, 3910, 4002, 4110, 4130, 4182, 4186, 4370, 4470
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

Muniru A Asiru, Table of n, a(n) for n = 1..1064
H. U. Besche, B. Eick and E. A. O'Brien, Numbers of isomorphism types of finite groups of given order
Index entries for sequences related to groups


MATHEMATICA

Select[Range[10^4], FiniteGroupCount[#] == 8 &] (* A current limit in Mathematica is such that some orders >2047 may not be evaluated.*) (* Robert Price, May 24 2019 *)


PROG

(GAP) A249551 := Filtered([1..2015], n > NumberSmallGroups(n) = 8); # Muniru A Asiru, Oct 18 2017


CROSSREFS

Cf. A000001, A003277, A054395, A055561, A054396, A054397, A135850, A249550, A249551, A249552, A249553, A249554, A249555.
Sequence in context: A071687 A048254 A303994 * A248790 A252877 A202595
Adjacent sequences: A249548 A249549 A249550 * A249552 A249553 A249554


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Nov 01 2014


EXTENSIONS

a(15)a(16) from Muniru A Asiru, Oct 18 2017
More terms from Michael De Vlieger, Oct 18 2017
Missing terms added by Andrey Zabolotskiy, Oct 27 2017


STATUS

approved



