Orthogonal group O8+(2)
Order = 174 182 400 = 212.35.52.7.
Mult = 22.
Out = S3.
Robert Wilson's ATLAS page for O8+(2) is available here.
2.O8+(2):2: Length 142, 8-generator, 36-relator.
< a, b, c, d, e, f, g, h | a2 = b2 = c2 = d2 = e2 = f2 = g2 = h2 = 1 = (ab)3 = [a, c] = [a, d] = [a, e] = [a, f] = [a, g] = [a, h] = (bc)3 = [b, d] = [b, e] = [b, f] = [b, g] = [b, h] = (cd)3 = [c, e] = [c, f] = [c, g] = (ch)3 = (de)3 = [d, f] = [d, g] = [d, h] = (ef)3 = [e, g] = [e, h] = (fg)3 = [f, h] = [g, h] >
Remark: This is the Coxeter (diagram) group corresponding to the Weyl group of the exceptional Lie algebra of type E8.
Last updated 15th July, 1997
John N. Bray