Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
520 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 129 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×#16813650 | C2 | semidirect |
| 2. #20299244 | C2 | semidirect |
| 3. #20298982 | C2 | semidirect |
| 4. #20298844 | C2 | semidirect |
| 5. #20298814 | C2 | semidirect |
| 6. #20298762 | C2 | semidirect |
| 7. #20298734 | C2 | semidirect |
| 8. C4×D904 | C2 | semidirect |
| 9. #436×C113 | C2 | semidirect |
| 11. C22×D452 | C22 | semidirect |
| 13. C2×Dic452 | C22 | semidirect |
| 14. C2×#14268636 | C22 | semidirect |
| 15. C2×#14268636 | C22 | semidirect |
| 19. #16813610 | C22 | semidirect |
| 21. #16813601 | C22 | semidirect |
| 25. C4×D452 | C22 | semidirect |
| 27. #16813556 | C22 | semidirect |
| 28. #16813547 | C22 | semidirect |
| 29. #16813544 | C22 | semidirect |
| 30. #16813544 | C22 | semidirect |
| 31. C2×M16×C113 | C22 | semidirect |
| 33. C4⋊C8×C113 | C22 | semidirect |
| 34. C22⋊C8×C113 | C22 | semidirect |
| 35. C4×C8×C113 | C22 | semidirect |
| 54. D904 | D4 | semidirect |
| 125. C113 | #3273 | semidirect |
| 134. #436 | D113 | semidirect |
| 144. C2×M16 | C2×D113 | semidirect |
| 155. C4⋊C8 | C2×D113 | semidirect |
| 159. C22⋊C8 | C2×D113 | semidirect |
| 160. C4×C8 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813650 | 2 |
| #20299244 | 2 |
| #20298982 | 2 |
| #20298844 | 2 |
| #20298814 | 2 |
| #20298762 | 2 |
| #20298734 | 2 |
| C4×D904 | 2 |
| #436×C113 | 2 |
| #3273 | 113 |