Direct product A₅ × L₃(2)

Order = 10 080 = 2⁵.3².5.7.
Mult = 2².
Out = 2².

Robert Wilson's ATLAS page for A₅ is available here and his page for L₃(2) is available here.

A₅ × L₃(2): Length ??, ?-generator, ?-relator.

2.(A₅ × L₃(2)): Length 155, 2-generator, 4-relator.

< x, y | x² = y³ = (xy)³⁵ = ((xy)²xy^-1(xy)¹⁶xy^-1)² = 1 >

Remark: Other names for this group are SL₂(5) o SL₂(7) and L₂(Z₃₅). The presentation is a rewrite of a J.G.Sunday presentation for L₂(Z₃₅). Also, x and y map on to standard generators for both A₅ and L₃(2).

Last updated 23^rd August, 1997

John N. Bray

Direct product A5 × L3(2)

A5 × L3(2): Length ??, ?-generator, ?-relator.

2.(A5 × L3(2)): Length 155, 2-generator, 4-relator.

Direct product A₅ × L₃(2)

A₅ × L₃(2): Length ??, ?-generator, ?-relator.

2.(A₅ × L₃(2)): Length 155, 2-generator, 4-relator.