login
Order of simple Chevalley group F_4(q), q = prime power.
2

%I #15 Jun 14 2024 22:31:09

%S 3311126603366400,5734420792816671844761600,

%T 19009825523840945451297669120000,

%U 2131486317725501953125000000000000000,86325573304608766361629193317905069834240000

%N Order of simple Chevalley group F_4(q), q = prime power.

%D 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], p. xvi.

%D H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

%D R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169.

%p q^24*(q^2-1)*(q^6-1)*(q^8-1)*(q^12-1);

%t Table[q^24*(q^2-1)*(q^6-1)*(q^8-1)*(q^12-1), {q, Select[Range[7], PrimePowerQ]}] (* _Jean-François Alcover_, Aug 24 2022 *)

%Y Cf. A178779.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_.