Groups of order 42
This article gives information about, and links to more details on, groups of order 42
See pages on algebraic structures of order 42 | See pages on groups of a particular order
There are, up to isomorphism, six groups of order 42, indicated in the table below:
| Group | GAP ID (second part) | Abelian? |
|---|---|---|
| General affine group:GA(1,7), also known as F7 | 1 | No |
| direct product of Z2 and the semidirect product of Z7 and Z3 | 2 | No |
| direct product of S3 and Z7 | 3 | No |
| direct product of D7 and Z3 | 4 | No |
| dihedral group:D42 | 5 | No |
| cyclic group:Z42 | 6 | Yes |