Linear group L5(2)
Order = 9 999 360 = 210.32.5.7.31.
Mult = 1.
Out = 2.
Robert Wilson's ATLAS page for L5(2) is available here.
L5(2): Length 105, 2-generator, 6-relator.
< x, y | x2 = y5 = (xy)21 = [x, y]4 = [x, y2]2 = (xyxyxy-2)4 = 1 >
Remark: x and y are R.A.Wilson's standard generators for L5(2).
Reciprocity: (x, y) and (x, y-1) are conjugate in Aut(G) = G:2, but they are not conjugate (in Aut(G)) to (x, y2) and (x, y-2).

Last updated 16st July, 1997
John N. Bray