Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
524 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 524 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. C22×#14268632 | C2 | semidirect |
| 2. C2×#16813630 | C2 | semidirect |
| 3. #20299167 | C2 | semidirect |
| 4. #20299165 | C2 | semidirect |
| 5. #20298850 | C2 | semidirect |
| 6. #20298833 | C2 | semidirect |
| 7. #20298634 | C2 | semidirect |
| 8. #20298604 | C2 | semidirect |
| 9. #418×C113 | C2 | semidirect |
| 16. C2×#14268630 | C22 | semidirect |
| 18. C2×C8×D113 | C22 | semidirect |
| 23. #16813597 | C22 | semidirect |
| 24. #16813593 | C22 | semidirect |
| 28. #16813555 | C22 | semidirect |
| 29. #16813553 | C22 | semidirect |
| 30. #16813544 | C22 | semidirect |
| 34. #102×C113 | C22 | semidirect |
| 51. C2×#11744751 | D4 | semidirect |
| 126. C113 | #3058 | semidirect |
| 135. #418 | D113 | semidirect |
| 160. #102 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268632 | 2 |
| C2×#16813630 | 2 |
| #20299167 | 2 |
| #20299165 | 2 |
| #20298850 | 2 |
| #20298833 | 2 |
| #20298634 | 2 |
| #20298604 | 2 |
| #418×C113 | 2 |
| #3058 | 113 |