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A335887 Maximal sum of subgroup orders for a finite group of order n. 1
1, 3, 4, 11, 6, 16, 8, 51, 22, 26, 12, 60, 14, 36, 24, 307, 18, 130, 20, 98, 50, 56, 24, 284, 56, 66, 184, 136, 30, 144, 32, 2451, 48, 86, 48, 498, 38, 96, 92, 466, 42, 200, 44, 212, 132, 116, 48, 1740, 106, 456, 72, 250, 54, 1696, 122, 648, 134, 146, 60, 552, 62 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
REFERENCES
The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.9.3, 2018. gap-system.org.
LINKS
Sébastien Palcoux, On the sum the subgroup orders of a finite group (version: 2020-06-29), MathOverflow.
PROG
(GAP)
L:=[];;
for n in [1..100] do
Mn:=0;
r:=NrSmallGroups(n);
for d in [1..r] do
g:=SmallGroup(n, d);
lat:=AllSubgroups(g);
sg:=Sum(List(lat, Order));
if sg>Mn then
Mn:=sg;
fi;
od;
Add(L, Mn);
od;
Print(L);
CROSSREFS
Sequence in context: A295824 A180696 A133760 * A335888 A328851 A197953
KEYWORD
nonn
AUTHOR
Sébastien Palcoux, Jun 28 2020
STATUS
approved

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Last modified June 20 20:42 EDT 2024. Contains 373532 sequences. (Running on oeis4.)