Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
332 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. #41×Dic113 | C2 | semidirect |
| 3. C2×#16813548 | C2 | semidirect |
| 4. #20298571 | C2 | semidirect |
| 5. #20298369 | C2 | semidirect |
| 6. #20298357 | C2 | semidirect |
| 7. #421×C113 | C2 | semidirect |
| 10. #16813652 | C4 | semidirect |
| 12. #16813647 | C4 | semidirect |
| 33. C2×Dic226 | C2×C4 | semidirect |
| 34. C2×D452 | C2×C4 | semidirect |
| 44. #14268631 | C2×C4 | semidirect |
| 130. C113 | #1906 | semidirect |
| 133. #421 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299396 | 2 |
| #41×Dic113 | 2 |
| C2×#16813548 | 2 |
| #20298571 | 2 |
| #20298369 | 2 |
| #20298357 | 2 |
| #421×C113 | 2 |
| #1906 | 113 |