Solution for Section G.2 Question 4iii

4iii. A non-trivial subgroup needs to contain the identity element and, in this case, one, two or three other elements.
Remember that a subgroup must be closed, so if you have the element a in your subgroup, you must also have a * a.

The first group contains the non-trivial subgroups
{e,a},   {e,b},   {e,c},   and {e,a,b,c} (the entire group).

The second group contains the non-trivial subgroups
{0,2}   and {0,1,2,3} (the entire group).

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