A249552 Numbers m such that there are precisely 9 groups of order m.

308, 532, 644, 836, 868, 1316, 1364, 1652, 1748, 1815, 1876, 1892, 2068, 2212, 2324, 2356, 2596, 2852, 2884, 2996, 3124, 3268, 3476, 3572, 3652, 3668, 3892, 3956, 4228, 4263, 4484, 4532, 4564, 4676, 4708, 5012, 5092, 5332, 5348, 5396, 5428, 5572, 5588, 5764, 5828, 6004, 6116, 6164, 6244, 6308, 6356, 6532

Offset

1,1

Links

Muniru A Asiru and Jorge R. F. F. Lopes, Table of n, a(n) for n = 1..456

Max Horn, Numbers of isomorphism types of finite groups of given order

Index entries for sequences related to groups

Maple

select(t -> GroupTheory:-NumAbelianGroups(t) <= 9 and GroupTheory:-NumGroups(t) = 9, [$1..10000]); # Robert Israel, Mar 26 2018

Prog

(GAP) A249552:=Filtered([1..2015], n->NumberSmallGroups(n)=9); # Muniru A Asiru, Nov 17 2017

Crossrefs

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), this sequence (k=9), A249553 (k=10), A249554 (k=11), A249555 (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).

Sequence in context: A309566 A118843 A224675 * A237457 A234211 A053172

Adjacent sequences: A249549 A249550 A249551 * A249553 A249554 A249555

Keyword

nonn

Author

N. J. A. Sloane, Nov 01 2014

Extensions

a(13)-a(16) from Muniru A Asiru, Oct 21 2017

More terms from Muniru A Asiru, Oct 23 2017

More terms from Muniru A Asiru, Nov 17 2017

Incorrect b-file shortened by Jorge R. F. F. Lopes, Jan 07 2022

Status

approved