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

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