Finite Group DatabasebetaFinite Group Databasebeta15 groups of order 54.
| SmallGroups | group |
|---|---|
| (54, 1) | D27 #265 |
| (54, 2) | C2×C27 #266 |
| (54, 3) | C3×D9 #267 |
| (54, 4) | D3×C9 #268 |
| (54, 5) | (C3⋊D3)⋊C3 #269 |
| (54, 6) | AGL(1,ℤ/9) #270 |
| (54, 7) | C3⋊D9 #271 |
| (54, 8) | #272 |
| (54, 9) | C2×C3×C9 #273 |
| (54, 10) | C2×H(3,𝔽3) #274 |
| (54, 11) | C2×3−1+2 #275 |
| (54, 12) | C32×D3 #276 |
| (54, 13) | C3×C3⋊D3 #277 |
| (54, 14) | C3⋊(C3⋊D3) #278 |
| (54, 15) | C2×C33 #279 |