The small groups of order 125

All 5 groups of order 125 are listed and completely calculated.

Small group number 1 of order 125 Cyclic group of order 125

Small group number 2 of order 125 Abelian group C₂₅ x C₅

Small group number 3 of order 125 Extraspecial 5-group of order 125 and exponent 5

Small group number 4 of order 125 Extraspecial 5-group of order 125 and exponent 25

Small group number 5 of order 125 Elementary abelian group of order 125