Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#14268632 | C2 | semidirect |
| 3. #20299072 | C2 | semidirect |
| 4. #20298810 | C2 | semidirect |
| 5. #20298790 | C2 | semidirect |
| 6. #20298625 | C2 | semidirect |
| 7. #20298603 | C2 | semidirect |
| 8. #20298594 | C2 | semidirect |
| 9. #535×C113 | C2 | semidirect |
| 12. C2×#14268634 | C22 | semidirect |
| 15. C2×#14268632 | C22 | semidirect |
| 18. C4×D452 | C22 | semidirect |
| 22. C4⋊#11744751 | C22 | semidirect |
| 23. #16813546 | C22 | semidirect |
| 24. #16813543 | C22 | semidirect |
| 25. #16813543 | C22 | semidirect |
| 28. #127×C113 | C22 | semidirect |
| 29. #124×C113 | C22 | semidirect |
| 36. C2×D452 | D4 | semidirect |
| 122. C113 | #3041 | semidirect |
| 125. #535 | D113 | semidirect |
| 142. #127 | C2×D113 | semidirect |
| 143. #124 | 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 |
| C22×#14268632 | 2 |
| #20299072 | 2 |
| #20298810 | 2 |
| #20298790 | 2 |
| #20298625 | 2 |
| #20298603 | 2 |
| #20298594 | 2 |
| #535×C113 | 2 |
| #3041 | 113 |