Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#16813655 | C2 | semidirect |
| 3. #20299169 | C2 | semidirect |
| 4. #20299079 | C2 | semidirect |
| 5. #20298819 | C2 | semidirect |
| 6. #20298812 | C2 | semidirect |
| 7. #20298807 | C2 | semidirect |
| 8. #20298802 | C2 | semidirect |
| 9. #20298626 | C2 | semidirect |
| 10. C2×#16813545 | C2 | semidirect |
| 11. #417×C113 | C2 | semidirect |
| 147. C113 | #3046 | semidirect |
| 157. #417 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813655 | 2 |
| C2×#16813642 | 2 |
| #20299169 | 2 |
| #20299079 | 2 |
| #20298819 | 2 |
| #20298812 | 2 |
| #20298807 | 2 |
| #20298802 | 2 |
| #20298626 | 2 |
| C2×#16813545 | 2 |
| #417×C113 | 2 |
| #3046 | 113 |