|
%I #9 Sep 08 2022 08:45:38
%S 1,165,440,990,1584,1320,0,1980,0,0,1440
%N a(n) = number of elements of order n in simple group M_11 of order 7920.
%H ATLAS, <a href="http://for.mat.bham.ac.uk/atlas/v2.0/spor/M11/">Mathieu group M11</a>
%o (Magma) /* Mathieu group M11 presented on its standard generators. */
%o 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>;
%o H:= sub< G | x>;
%o f,L := CosetAction(G,H);
%o // Order(G) eq Order(L); /* 7920 = 7920*/
%o t2:=Classes(L);
%o t1:=[0 : n in [1..11]];
%o for c in t2 do t1[c[1]] := t1[c[1]] + c[2]; end for;
%o t1; /* edited by _Charles R Greathouse IV_, May 29 2015 */
%Y Cf. A284842 (M_12), A284846 (M_22), A284872 (M_23), A146074 (M_24).
%K nonn,fini,full
%O 1,2
%A _N. J. A. Sloane_, Apr 06 2009
|
