Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 125 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×#16813619 | C2 | semidirect |
| 2. #20299132 | C2 | semidirect |
| 3. #20298987 | C2 | semidirect |
| 4. #20298963 | C2 | semidirect |
| 5. #20298799 | C2 | semidirect |
| 6. #20298794 | C2 | semidirect |
| 7. #20298751 | C2 | semidirect |
| 8. #20298734 | C2 | semidirect |
| 9. #432×C113 | C2 | semidirect |
| 13. C2×#14268636 | C22 | semidirect |
| 14. C2×D904 | C22 | semidirect |
| 20. #16813614 | C22 | semidirect |
| 21. #16813610 | C22 | semidirect |
| 25. C4×Dic226 | C22 | semidirect |
| 26. C4×D452 | C22 | semidirect |
| 29. #16813544 | C22 | semidirect |
| 30. #16813544 | C22 | semidirect |
| 32. C4⋊C8×C113 | C22 | semidirect |
| 34. #97×C113 | C22 | semidirect |
| 128. C113 | #3217 | semidirect |
| 137. #432 | D113 | semidirect |
| 158. C4⋊C8 | C2×D113 | semidirect |
| 162. #97 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813619 | 2 |
| #20299132 | 2 |
| #20298987 | 2 |
| #20298963 | 2 |
| #20298799 | 2 |
| #20298794 | 2 |
| #20298751 | 2 |
| #20298734 | 2 |
| #432×C113 | 2 |
| #3217 | 113 |