Question: 8 a make a table whose first row are the...
8. (a) Make a table, whose first row are the 8 elements of
D4 and whose 2nd row is the order of each element.
(Recall, this group is the group of symmetries of a 4-gon, a.k.a. square.)
(b) How many subgroups of each order does the group D4 have? Give a list of the orders, with multiplicity.
(c) List them all (the subgroups), from smallest order to largest order.