The small groups of order 27

All 5 groups of order 27 are listed and completely calculated.

Small group number 1 of order 27 Cyclic group of order 27

Small group number 2 of order 27 Abelian group C₉ x C₃

Small group number 3 of order 27 Extraspecial 3-group of order 27 and exponent 3

Small group number 4 of order 27 Extraspecial 3-group of order 27 and exponent 9

Small group number 5 of order 27 Elementary abelian group of order 27