Crystal Lab › The 80 layer groups
The 80 layer groups
3D objects periodic in two directions. Open a group to see its symmetry elements drawn in the cell, its operations, and its Wyckoff positions with a model atom you can move.
The 230 space groups · The 17 plane groups · The 7 frieze groups · The 75 rod groups · The 80 layer groups
Monoclinic (5)
Orthorhombic (41)
| No. | Symbol | Operations | Wyckoff positions | Settings |
|---|---|---|---|---|
| 8 | p211 | 2 | 3 | 2 |
| 9 | p2₁11 | 2 | 1 | 2 |
| 10 | c211 | 4 | 2 | 2 |
| 11 | pm11 | 2 | 3 | 2 |
| 12 | pb11 | 2 | 1 | 2 |
| 13 | cm11 | 4 | 2 | 2 |
| 14 | p2/m11 | 4 | 9 | 2 |
| 15 | p2₁/m11 | 4 | 4 | 2 |
| 16 | p2/b11 | 4 | 4 | 2 |
| 17 | p2₁/b11 | 4 | 3 | 2 |
| 18 | c2/m11 | 8 | 6 | 2 |
| 19 | p222 | 4 | 13 | 1 |
| 20 | p2₁22 | 4 | 4 | 2 |
| 21 | p2₁2₁2 | 4 | 3 | 1 |
| 22 | c222 | 8 | 8 | 1 |
| 23 | pmm2 | 4 | 9 | 1 |
| 24 | pma2 | 4 | 4 | 2 |
| 25 | pba2 | 4 | 3 | 1 |
| 26 | cmm2 | 8 | 6 | 1 |
| 27 | pm2m | 4 | 6 | 2 |
| 28 | pm2₁b | 4 | 3 | 2 |
| 29 | pb2₁m | 4 | 2 | 2 |
| 30 | pb2b | 4 | 3 | 2 |
| 31 | pm2a | 4 | 3 | 2 |
| 32 | pm2₁n | 4 | 2 | 2 |
| 33 | pb2₁a | 4 | 1 | 2 |
| 34 | pb2n | 4 | 2 | 2 |
| 35 | cm2m | 8 | 4 | 2 |
| 36 | cm2e | 8 | 3 | 2 |
| 37 | pmmm | 8 | 18 | 1 |
| 38 | pmaa | 8 | 11 | 2 |
| 39 | pban | 8 | 8 | 1 |
| 40 | pmam | 8 | 8 | 2 |
| 41 | pmma | 8 | 9 | 2 |
| 42 | pman | 8 | 6 | 2 |
| 43 | pbaa | 8 | 4 | 2 |
| 44 | pbam | 8 | 6 | 1 |
| 45 | pbma | 8 | 4 | 2 |
| 46 | pmmn | 8 | 6 | 1 |
| 47 | cmmm | 16 | 12 | 1 |
| 48 | cmme | 16 | 10 | 1 |
Tetragonal (16)
Trigonal (8)
Operations are counted per conventional cell (lattice centring included). Symbols follow the International Tables; the first listed setting is the standard one.