Finite Group DatabasebetaFinite Group Databasebeta6 non-abelian indecomposable groups of order 54.
Groups that are neither abelian nor a non-trivial direct product.
| SmallGroups | group |
|---|---|
| (54, 1) | D27 #265 |
| (54, 5) | (C3⋊D3)⋊C3 #269 |
| (54, 6) | AGL(1,ℤ/9) #270 |
| (54, 7) | C3⋊D9 #271 |
| (54, 8) | #272 |
| (54, 14) | C3⋊(C3⋊D3) #278 |