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Les 230 types de groupes d'espace
| Classe | # | système triclinique |
| 1 | | P1 | |
| 1 | | P1 | |
| | | système monoclinique |
| 2 | | P2 | P21 | C2 | |
| m | | Pm | Pc | Cm | Cc | |
| 2/m | | P2/m | P21/m | C2/m | P2/c | P21/c | C2/c | |
| | | système orthorhombique |
| 222 | | P222 | P2221 | P21212 | P212121 | C2221 | C222 | F222 | I222 |
| I212121 | |
| mm2 | | Pmm2 | Pmc21 | Pcc2 | Pma2 | Pca21 | Pnc2 | Pmn21 | Pba2 |
| Pna21 | Pnn2 | Cmm2 | Cmc21 | Ccc2 | Amm2 | Aem2 | Ama2 |
| Aea2 | Fmm2 | Fdd2 | Imm2 | Iba2 | Ima2 | |
| mmm | | Pmmm | Pnnn | Pccm | Pban | Pmma | Pnna | Pmna | Pcca |
| Pbam | Pccn | Pbcm | Pnnm | Pmmn | Pbcn | Pbca | Pnma |
| Cmcm | Cmce | Cmmm | Cccm | Cmme | Ccce | Fmmm | Fddd |
| Immm | Ibam | Ibca | Imma | |
| | | système quadratique ou tétragonal |
| 4 | | P4 | P41 | P42 | P43 | I4 | I41 | |
| 4 | | P4 | I4 | |
| 4/m | | P4/m | P42/m | P4/n | P42/n | I4/m | I41/a | |
| 422 | | P422 | P4212 | P4122 | P41212 | P4222 | P42212 | P4322 | P43212 |
| I422 | I4122 | |
| 4mm | | P4mm | P4bm | P42cm | P42nm | P4cc | P4nc | P42mc | P42bc |
| I4mm | I4cm | I41md | I41cd | |
| 42m | | P42m | P42c | P421m | P421c | P4m2 | P4c2 | P4b2 | P4n2 |
| I4m2 | I4c2 | I42m | I42d | |
| 4/mmm | | P4/mmm | P4/mmc | P4/nbm | P4/nnc | P4/mbm | P4/nnc | P4/nmm | P4/ncc |
| P42/mmc | P42/mcm | P42/nbc | P42/nnm | P42/mbc | P42/mnm | P42/nmc | P42/ncm |
| I4/mmm | I4/mcm | I41/amd | I41/acd | |
| | | système trigonal |
| 3 | | P3 | P31 | P32 | R3 | |
| 3 | | P3 | R3 | |
| 32 | | P312 | P321 | P3112 | P3121 | P3212 | P3221 | R32 | |
| 3m | | P3m1 | P31m | P3c1 | P31c | R3m | R3c | |
| 3m | | P31m | P31c | P3m1 | P3c1 | R3m | R3c | |
| | | système hexagonal |
| 6 | | P6 | P61 | P65 | P62 | P64 | P63 | |
| 6 | | P6 | |
| 6/m | | P6/m | P63/m | |
| 622 | | P622 | P6122 | P6522 | P6222 | P6422 | P6322 | |
| 6mm | | P6mm | P6cc | P63cm | P63mc | |
| 6m2 | | P6m2 | P6c2 | P62m | P62c | |
| 6/mmm | | P6/mmm | P6/mcc | P63/mcm | P63/mmc | |
| | | système cubique |
| 23 | | P23 | F23 | I23 | P213 | I213 | |
| m3 | | Pm3 | Pn3 | Fm3 | Fd3 | I3 | Pa3 | Ia3 | |
| 432 | | P432 | P4232 | F432 | F4132 | I432 | P4332 | P4132 | I4132 |
| 43m | | P43m | F43m | I43m | P43n | F43c | I43d | |
| m3m | | Pm3m | Pn3n | Pm3n | Pn3m | Fm3m | Fm3c | Fd3m | Fd3c |
| Im3m | Ia3d | |