A003843 Order of universal Chevalley group D_4(q), q = prime power.

174182400, 19808719257600, 67010895544320000, 35646156000000000000, 450219964711195607040000, 19031213036231093492121600, 516728027484579221176320000, 142998501741091915820267520000

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

• Index entries for sequences related to groups.

Crossrefs

Cf. A000961, A003801, A003830, A003841, A003844, A003845, A003846, A003847.

Programs

Mathematica

d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}]; Table[d[q, 4], {q, Select[Range[12], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = D(A000961(n+1),4) where D(q,n) is defined in A003830. - Sean A. Irvine, Sep 17 2015