A003854 Order of simple Chevalley group D_8(q), q = prime power.

911666827031785075278550369566720000, 393736985584514548835738283681336315795223487793070080000, 1649493899207759406688161287839326786813727965837588934265143296000000000

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..10
• Index entries for sequences related to groups.

Crossrefs

Cf. A000961, A003808, A003837, A003848, A003850, A003851, A003852, A003853.

Programs

Mathematica

d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}] / GCD[4, q^n-1]; Table[d[q, 8], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = d(A000961(n+1),8) where d(q,n) is defined in A003837. - Sean A. Irvine, Sep 17 2015

Extensions

More terms from Sean A. Irvine, Sep 17 2015