Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
366 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 366 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. #20299301 | C2 | semidirect |
| 2. #20298924 | C2 | semidirect |
| 3. #20298918 | C2 | semidirect |
| 4. #20298895 | C2 | semidirect |
| 5. #20298835 | C2 | semidirect |
| 6. #20298835 | C2 | semidirect |
| 7. C4×D904 | C2 | semidirect |
| 8. C8×D452 | C2 | semidirect |
| 9. #20298635 | C2 | semidirect |
| 10. #107×D113 | C2 | semidirect |
| 11. #499×C113 | C2 | semidirect |
| 121. C113 | #3339 | semidirect |
| 123. #499 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299301 | 2 |
| #20298924 | 2 |
| #20298918 | 2 |
| #20298895 | 2 |
| #20298835 | 2 |
| C4×D904 | 2 |
| C8×D452 | 2 |
| #20298635 | 2 |
| #107×D113 | 2 |
| #499×C113 | 2 |
| #3339 | 113 |