Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
414 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 121 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×#16813601 | C2 | semidirect |
| 3. #20298940 | C2 | semidirect |
| 4. #20298934 | C2 | semidirect |
| 5. #20298917 | C2 | semidirect |
| 6. #20298856 | C2 | semidirect |
| 7. #20298844 | C2 | semidirect |
| 8. #20298762 | C2 | semidirect |
| 9. #20298756 | C2 | semidirect |
| 10. #20298739 | C2 | semidirect |
| 11. #407×C113 | C2 | semidirect |
| 14. C2×Dic452 | C22 | semidirect |
| 15. C2×#14268636 | C22 | semidirect |
| 32. #16813556 | C22 | semidirect |
| 33. #16813554 | C22 | semidirect |
| 34. #16813547 | C22 | semidirect |
| 35. #16813547 | C22 | semidirect |
| 36. #16813547 | C22 | semidirect |
| 37. #16813544 | C22 | semidirect |
| 150. C113 | #3196 | semidirect |
| 161. #407 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299109 | 2 |
| C2×#16813601 | 2 |
| #20298940 | 2 |
| #20298934 | 2 |
| #20298917 | 2 |
| #20298856 | 2 |
| #20298844 | 2 |
| #20298762 | 2 |
| #20298756 | 2 |
| #20298739 | 2 |
| #407×C113 | 2 |
| #3196 | 113 |