4. Let S5 denote the symmetric group on the 5 letter set > let be elements of S5. -1 - (92234) 32104, 0 = Compute the following. (a) T (b) σοτ (C) τοσ (d) |S5 and {0, 1, 2, 3, 4), and (10342)

Thank you very much. Can you write the Caley table of each of the subgroups of each non-abelian group of order 8

Find all the generators of the following cyclic groups: (Z/6Z,+), ((Z/5Z)*, ·), (2Z, +), ((Z/11Z)*, ·).

Write out the Cayley table for the group {1, -1, i, -i} under multiplication where i = sqrt(-1). (In general, we apply the row element on the left of the column element.)