Template:Groups of order 12 automorphism groups
| Group | Second part of GAP ID | Isomorphism class of automorphism group | Order of automorphism group |
|---|---|---|---|
| dicyclic group:Dic12 | 1 | dihedral group:D12 | 12 |
| cyclic group:Z12 | 2 | Klein four-group | 4 |
| alternating group:A4 | 3 | symmetric group:S4 | 24 |
| dihedral group:D12 | 4 | dihedral group:D12 | 12 |
| direct product of Z6 and Z2 | 5 | dihedral group:D12 | 12 |