Fill in the boxes. Consider the group G=(213, +13) of integers mod 13 with the usual mod 13 addition How many subgroups does G have? Consider the group of integers C = (2, *) equipped with a binary operation" defined by a sb=a +6+1 The identity element for this group is True or False The symmetric group Sz is abelian Consider the group of integers G=(2, +) equipped with the usual integer addition. Let It be any subgroup of G. How many cosels of Hin Gare subgroups of G? Suppose that G is a group and 2 E G has order 36 Then I 2 has order