All 5 groups of order 8 are listed and completely calculated.
Small group number 1 of order 8 Cyclic group of order 8
Small group number 2 of order 8 Abelian group C4 x C2
Small group number 3 of order 8 Dihedral group of order 8
Small group number 4 of order 8 Quaternion group of order 8
Small group number 5 of order 8 Elementary abelian group of order 8