Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#16813653 | C2 | semidirect |
| 2. C2×#16813629 | C2 | semidirect |
| 4. #20298854 | C2 | semidirect |
| 5. #20298846 | C2 | semidirect |
| 6. #20298837 | C2 | semidirect |
| 7. #20298829 | C2 | semidirect |
| 8. #20298641 | C2 | semidirect |
| 9. #20298592 | C2 | semidirect |
| 10. C2×#16813546 | C2 | semidirect |
| 11. #536×C113 | C2 | semidirect |
| 54. #14268631 | D4 | semidirect |
| 144. C113 | #3063 | semidirect |
| 148. #536 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| C2×#16813629 | 2 |
| #20299176 | 2 |
| #20298854 | 2 |
| #20298846 | 2 |
| #20298837 | 2 |
| #20298829 | 2 |
| #20298641 | 2 |
| #20298592 | 2 |
| C2×#16813546 | 2 |
| #536×C113 | 2 |
| #3063 | 113 |