International Tables for Crystallography
Index of the 80 layer groups
| Triclinic/Oblique | |||||||
| p1 | 1 | p-1 | 2 | ||||
| Monoclinic/Oblique | |||||||
| p112 | 3 | p11m | 4 | p11a | 5 | p112/m | 6 |
| p112/a | 7 | ||||||
| Monoclinic/Rectangular | |||||||
| p211 | 8 | p2111 | 9 | c211 | 10 | pm11 | 11 |
| p b11 | 12 | cm11 | 13 | p2/m11 | 14 | p21/m11 | 15 |
| p2/b11 | 16 | p21/b11 | 17 | c2/m11 | 18 | ||
| Orthorhombic/Rectangular | |||||||
| p222 | 19 | p2122 | 20 | p21212 | 21 | c222 | 22 |
| p m m2 | 23 | pma2 | 24 | pba2 | 25 | cmm2 | 26 |
| p m2m | 27 | pm21b | 28 | pb21m | 29 | pb2b | 30 |
| p m2a | 31 | pm21n | 32 | pb21a | 33 | pb2n | 34 |
| c m2m | 35 | cm2e | 36 | pmmm | 37 | pmaa | 38 |
| p b a n | 39 | pmam | 40 | pmma | 41 | pman | 42 |
| p b a a | 43 | pbam | 44 | pbma | 45 | pmmn | 46 |
| c m m m | 47 | cmme | 48 | ||||
| Tetragonal/Square | |||||||
| p4 | 49 | p-4 | 50 | p4/m | 51 | p4/n | 52 |
| p422 | 53 | p4212 | 54 | p4mm | 55 | p4bm | 56 |
| p -42m | 57 | p-421m | 58 | p-4m2 | 59 | p-4b2 | 60 |
| p4/mmm | 61 | p4/nbm | 62 | p4/mbm | 63 | p4/nmm | 64 |
| Trigonal/Hexagonal | |||||||
| p3 | 65 | p-3 | 66 | p312 | 67 | p321 | 68 |
| p3m1 | 69 | p31m | 70 | p-31m | 71 | p-3m1 | 72 |
| Hexagonal/Hexagonal | |||||||
| p6 | 73 | p-6 | 74 | p6/m | 75 | p622 | 76 |
| p6mm | 77 | p-6m2 | 78 | p-62m | 79 | p6/mmm | 80 |