Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 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. C4×#14268647 | C2 | semidirect |
| 2. #20298919 | C2 | semidirect |
| 3. #20298880 | C2 | semidirect |
| 4. #20298875 | C2 | semidirect |
| 5. #20298795 | C2 | semidirect |
| 6. #20298790 | C2 | semidirect |
| 7. #20298741 | C2 | semidirect |
| 8. #20298708 | C2 | semidirect |
| 9. #20298698 | C2 | semidirect |
| 10. #20298655 | C2 | semidirect |
| 11. #532×C113 | C2 | semidirect |
| 109. D452 | #41 | semidirect |
| 114. Dic226 | #41 | semidirect |
| 145. C113 | #3115 | semidirect |
| 146. #532 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14268647 | 2 |
| #20298919 | 2 |
| #20298880 | 2 |
| #20298875 | 2 |
| #20298795 | 2 |
| #20298790 | 2 |
| #20298741 | 2 |
| #20298708 | 2 |
| #20298698 | 2 |
| #20298655 | 2 |
| #532×C113 | 2 |
| #3115 | 113 |