Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20298997 | C2 | semidirect |
| 3. #20298972 | C2 | semidirect |
| 4. #20298966 | C2 | semidirect |
| 5. #20298964 | C2 | semidirect |
| 6. #20298846 | C2 | semidirect |
| 7. #20298829 | C2 | semidirect |
| 8. #20298696 | C2 | semidirect |
| 9. C4×#14268634 | C2 | semidirect |
| 10. #20298554 | C2 | semidirect |
| 11. #541×C113 | C2 | semidirect |
| 109. C113 | #3174 | semidirect |
| 110. #541 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299203 | 2 |
| #20298997 | 2 |
| #20298972 | 2 |
| #20298966 | 2 |
| #20298964 | 2 |
| #20298846 | 2 |
| #20298829 | 2 |
| #20298696 | 2 |
| C4×#14268634 | 2 |
| #20298554 | 2 |
| #541×C113 | 2 |
| #3174 | 113 |