Standard generators of S_{4}(7):2 are c and d where c is in class ??, d has order ? and cd has order ?? ... etc.
< a, b | a^{2} = b^{5} = (ab)^{7} = [a, b^{2}]^{4} = (ababab^{2}abab^{2})^{2} = [a, babab^{-2}abab] = 1 >
Remark: Adding in the redundant relation [a, babab^{-1}]^{2} = 1 of length 24 (giving a 2-generator, 7-relator, length 115 presentation) eases coset enumeration.
Last updated 27th August 1999,