Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
446 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 2. C2×#16813655 | C2 | semidirect |
| 3. C2×#16813652 | C2 | semidirect |
| 4. #20298873 | C2 | semidirect |
| 5. #20298861 | C2 | semidirect |
| 6. #20298647 | C2 | semidirect |
| 7. #20298580 | C2 | semidirect |
| 8. C2×#16813540 | C2 | semidirect |
| 9. #568×C113 | C2 | semidirect |
| 21. C2×Dic452 | C22 | semidirect |
| 23. C2×#14268636 | C22 | semidirect |
| 27. #16813558 | C22 | semidirect |
| 28. #16813540 | C22 | semidirect |
| 29. #16813540 | C22 | semidirect |
| 30. #16813538 | C22 | semidirect |
| 143. C113 | #3069 | semidirect |
| 147. #568 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299396 | 2 |
| C2×#16813655 | 2 |
| C2×#16813652 | 2 |
| #20298873 | 2 |
| #20298861 | 2 |
| #20298647 | 2 |
| #20298580 | 2 |
| C2×#16813540 | 2 |
| #568×C113 | 2 |
| #3069 | 113 |