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A145665
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a(n) = number of elements of order n in simple group M_11 of order 7920.
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0
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1, 165, 440, 990, 1584, 1320, 0, 1980, 0, 0, 1440
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| ATLAS, Mathieu group M11
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PROG
| /* Mathieu group M11 presented on its standard generators. */
G<x, y>:=Group<x, y|
x^2,
y^4,
(x*y)^11,
(x*y^2)^6,
x*y*x*y*x*y^-1*x*y*x*y^2*x*y^-1*x*y*x*y^-1*x*y^-1
>;
H:= sub< G | x>;
Order(G); /* 7920 */
f, L := CosetAction(G, H);
order(L); /* 7920 */
t2:=Classes(L);
t1:=[0 : n in [1..240]];
for c in t2 do t1[c[1]] := t1[c[1]] + c[2]; end for;
t1;
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CROSSREFS
| Sequence in context: A083255 A176877 A029563 * A135806 A157090 A124409
Adjacent sequences: A145662 A145663 A145664 * A145666 A145667 A145668
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KEYWORD
| nonn,fini,full
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 06 2009
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