Assignment:
The class equation of a group G is 1+4+5+5+5.
a) Does G have a subgroup of order 5? If it does, is it a normal subgroup?
b) Does G have a subgroup of order 4? If it does, is it a normal subgroup?
c) Determine the possible class equations of nonabelian groups of order 8 and of order 21.
Provide complete and step by step solution for the question and show calculations and use formulas.