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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 26 12:37 EST 2020. Contains 338639 sequences. (Running on oeis4.)