Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#16813647 | C2 | semidirect |
| 2. C2×#16813628 | C2 | semidirect |
| 3. #20299176 | C2 | semidirect |
| 4. #20299167 | C2 | semidirect |
| 5. #20298850 | C2 | semidirect |
| 6. #20298847 | C2 | semidirect |
| 7. #20298833 | C2 | semidirect |
| 8. #20298830 | C2 | semidirect |
| 9. #20298641 | C2 | semidirect |
| 10. C2×#16813544 | C2 | semidirect |
| 11. #416×C113 | C2 | semidirect |
| 19. C2×#14268630 | C22 | semidirect |
| 20. C2×C8×D113 | C22 | semidirect |
| 24. #16813598 | C22 | semidirect |
| 29. #16813593 | C22 | semidirect |
| 32. #16813555 | C22 | semidirect |
| 33. #16813553 | C22 | semidirect |
| 39. #103×C113 | C22 | semidirect |
| 40. #103×C113 | C22 | semidirect |
| 41. #102×C113 | C22 | semidirect |
| 42. #102×C113 | C22 | semidirect |
| 60. #14268631 | D4 | semidirect |
| 152. C113 | #3062 | semidirect |
| 162. #416 | D113 | semidirect |
| 189. #103 | C2×D113 | semidirect |
| 190. #103 | C2×D113 | semidirect |
| 193. #102 | C2×D113 | semidirect |
| 194. #102 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813647 | 2 |
| C2×#16813628 | 2 |
| #20299176 | 2 |
| #20299167 | 2 |
| #20298850 | 2 |
| #20298847 | 2 |
| #20298833 | 2 |
| #20298830 | 2 |
| #20298641 | 2 |
| C2×#16813544 | 2 |
| #416×C113 | 2 |
| #3062 | 113 |