A145665 a(n) = number of elements of order n in simple group M_11 of order 7920.

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].

Links

Table of n, a(n) for n=1..11.

ATLAS, Mathieu group M11

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

Adjacent sequences: A145662 A145663 A145664 * A145666 A145667 A145668

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 06 2009

Status

approved