Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 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. #20299308 | C2 | semidirect |
| 3. #20298944 | C2 | semidirect |
| 4. #20298910 | C2 | semidirect |
| 5. #20298894 | C2 | semidirect |
| 6. #20298841 | C2 | semidirect |
| 7. #20298757 | C2 | semidirect |
| 8. C4×#14268637 | C2 | semidirect |
| 9. #20298675 | C2 | semidirect |
| 10. #20298596 | C2 | semidirect |
| 11. #460×C113 | C2 | semidirect |
| 129. C113 | #3333 | semidirect |
| 136. #460 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299308 | 2 |
| #20299268 | 2 |
| #20298944 | 2 |
| #20298910 | 2 |
| #20298894 | 2 |
| #20298841 | 2 |
| #20298757 | 2 |
| C4×#14268637 | 2 |
| #20298675 | 2 |
| #20298596 | 2 |
| #460×C113 | 2 |
| #3333 | 113 |