Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 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. C22×D904 | C2 | semidirect |
| 3. #20299162 | C2 | semidirect |
| 4. #20299072 | C2 | semidirect |
| 5. #20298816 | C2 | semidirect |
| 6. #20298792 | C2 | semidirect |
| 7. #20298624 | C2 | semidirect |
| 8. #20298602 | C2 | semidirect |
| 9. #416×C113 | C2 | semidirect |
| 13. C2×#14268634 | C22 | semidirect |
| 16. C2×#14268632 | C22 | semidirect |
| 18. #16813618 | C22 | semidirect |
| 19. #16813611 | C22 | semidirect |
| 23. #16813584 | C22 | semidirect |
| 26. #16813551 | C22 | semidirect |
| 27. #16813542 | C22 | semidirect |
| 31. #103×C113 | C22 | semidirect |
| 32. #102×C113 | C22 | semidirect |
| 40. C2×D452 | D4 | semidirect |
| 122. C113 | #3041 | semidirect |
| 131. #416 | D113 | semidirect |
| 152. #103 | C2×D113 | semidirect |
| 154. #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 |
| C22×D904 | 2 |
| #20299162 | 2 |
| #20299072 | 2 |
| #20298816 | 2 |
| #20298792 | 2 |
| #20298624 | 2 |
| #20298602 | 2 |
| #416×C113 | 2 |
| #3041 | 113 |