Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20299322 | C2 | semidirect |
| 3. #20298937 | C2 | semidirect |
| 4. #20298875 | C2 | semidirect |
| 5. #20298838 | C2 | semidirect |
| 6. #20298805 | C2 | semidirect |
| 7. #20298763 | C2 | semidirect |
| 8. C4×#14268636 | C2 | semidirect |
| 9. C8×D452 | C2 | semidirect |
| 10. #20298593 | C2 | semidirect |
| 11. #487×C113 | C2 | semidirect |
| 126. C113 | #3302 | semidirect |
| 129. #487 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299322 | 2 |
| #20299251 | 2 |
| #20298937 | 2 |
| #20298875 | 2 |
| #20298838 | 2 |
| #20298805 | 2 |
| #20298763 | 2 |
| C4×#14268636 | 2 |
| C8×D452 | 2 |
| #20298593 | 2 |
| #487×C113 | 2 |
| #3302 | 113 |