Finite Group DatabasebetaFinite Group Databasebeta8 non-abelian indecomposable groups of order 81.
Groups that are neither abelian nor a non-trivial direct product.
| SmallGroups | group |
|---|---|
| (81, 3) | C32⋊C9 #726 |
| (81, 4) | C9⋊C9 #727 |
| (81, 6) | C27⋊C3 #729 |
| (81, 7) | AΣL(1,𝔽27) #730 |
| (81, 8) | #731 |
| (81, 9) | #732 |
| (81, 10) | #733 |
| (81, 14) | #737 |