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A335888 Maximal sum of subgroup indices for a finite group of order n. 1
1, 3, 4, 11, 6, 18, 8, 51, 22, 38, 12, 74, 14, 66, 24, 307, 18, 162, 20, 166, 74, 146, 24, 378, 56, 198, 184, 298, 30, 308, 32, 2451, 48, 326, 48, 722, 38, 402, 212, 886, 42, 564, 44, 682, 132, 578, 48, 2458, 106, 888, 72, 934, 54, 2268, 182, 1626, 422, 902, 60, 1444 (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
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, h->Order(g)/Order(h)));
if sg>Mn then
Mn:=sg;
fi;
od;
Add(L, Mn);
od;
Print(L);
CROSSREFS
Sequence in context: A180696 A133760 A335887 * A328851 A197953 A198299
KEYWORD
nonn
AUTHOR
Sébastien Palcoux, Jun 28 2020
STATUS
approved

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Last modified June 23 03:01 EDT 2024. Contains 373629 sequences. (Running on oeis4.)