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A145665 a(n) = number of elements of order n in simple group M_11 of order 7920. +0
2
1, 165, 440, 990, 1584, 1320, 0, 1980, 0, 0, 1440 (list; graph; listen)
OFFSET

1,2

LINKS

ATLAS, Mathieu group M11

PROGRAM

/* 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;

CROSSREFS

Sequence in context: A035826 A083255 A029563 this_sequence A135806 A157090 A124409

Adjacent sequences: A145662 A145663 A145664 this_sequence A145666 A145667 A145668

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 06 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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