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A145665
a(n) = number of elements of order n in simple group M_11 of order 7920.
4
1, 165, 440, 990, 1584, 1320, 0, 1980, 0, 0, 1440
OFFSET
1,2
REFERENCES
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites].
PROG
(Magma) /* 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>;
f, L := CosetAction(G, H);
// Order(G) eq Order(L); /* 7920 = 7920*/
t2:=Classes(L);
t1:=[0 : n in [1..11]];
for c in t2 do t1[c[1]] := t1[c[1]] + c[2]; end for;
t1; /* edited by Charles R Greathouse IV, May 29 2015 */
CROSSREFS
Cf. A284842 (M_12), A284846 (M_22), A284872 (M_23), A146074 (M_24).
Sequence in context: A323379 A215967 A029563 * A135806 A157090 A124409
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Apr 06 2009
STATUS
approved