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×#16813652 | C2 | semidirect |
| 2. C2×#16813629 | C2 | semidirect |
| 3. #20299169 | C2 | semidirect |
| 4. #20298854 | C2 | semidirect |
| 5. #20298842 | C2 | semidirect |
| 6. #20298837 | C2 | semidirect |
| 7. #20298825 | C2 | semidirect |
| 8. #20298638 | C2 | semidirect |
| 9. #20298594 | C2 | semidirect |
| 10. C2×#16813545 | C2 | semidirect |
| 51. #14268631 | D4 | semidirect |
| 144. C113 | #3063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813652 | 2 |
| C2×#16813629 | 2 |
| #20299169 | 2 |
| #20298854 | 2 |
| #20298842 | 2 |
| #20298837 | 2 |
| #20298825 | 2 |
| #20298638 | 2 |
| #20298594 | 2 |
| C2×#16813545 | 2 |
| #537×C113 | 2 |
| #3063 | 113 |