Finish any of question 1 2 4 5 6 please

1 of 1 + Automatic Zoom 1. Let (G, ., e) be a group and H 3. 3. What are the possible orders of elements in S7? 4. In S4, find and . 5. Show that S4 is generated by a 4-cycle and a 3-cycle. 6. Let (G, .) be a cyclic group, not necessarily finite. If a, b E G are not square of elements in G, then ab is a square of some element in G. 7. Let N be a normal subgroup of a group G. Suppose that [N| - 5 and |G| is odd. Prove that N is contained in the center of G