Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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×#16813655 | C2 | semidirect |
| 3. C2×#16813609 | C2 | semidirect |
| 4. #20299066 | C2 | semidirect |
| 5. #20298819 | C2 | semidirect |
| 6. #20298812 | C2 | semidirect |
| 7. #20298621 | C2 | semidirect |
| 8. #20298606 | C2 | semidirect |
| 9. #418×C113 | C2 | semidirect |
| 14. C2×Dic452 | C22 | semidirect |
| 15. C2×#14268636 | C22 | semidirect |
| 22. #16813587 | C22 | semidirect |
| 23. #16813584 | C22 | semidirect |
| 29. #16813551 | C22 | semidirect |
| 30. #16813545 | C22 | semidirect |
| 126. C113 | #3040 | semidirect |
| 135. #418 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813655 | 2 |
| C2×#16813648 | 2 |
| C2×#16813609 | 2 |
| #20299066 | 2 |
| #20298819 | 2 |
| #20298812 | 2 |
| #20298621 | 2 |
| #20298606 | 2 |
| #418×C113 | 2 |
| #3040 | 113 |