Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 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. C2×#16813641 | C2 | semidirect |
| 2. C22×Dic452 | C2 | semidirect |
| 3. #20299254 | C2 | semidirect |
| 4. #20298981 | C2 | semidirect |
| 5. #20298840 | C2 | semidirect |
| 6. #20298819 | C2 | semidirect |
| 7. #20298761 | C2 | semidirect |
| 8. #20298736 | C2 | semidirect |
| 9. #20298692 | C2 | semidirect |
| 10. C8×C22⋊D113 | C2 | semidirect |
| 11. #466×C113 | C2 | semidirect |
| 55. Dic452 | D4 | semidirect |
| 116. C22×C113 | #135 | semidirect |
| 137. C113 | #3285 | semidirect |
| 143. #466 | D113 | semidirect |
| 256. C22 | #16813641 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813641 | 2 |
| C22×Dic452 | 2 |
| #20299254 | 2 |
| #20298981 | 2 |
| #20298840 | 2 |
| #20298819 | 2 |
| #20298761 | 2 |
| #20298736 | 2 |
| #20298692 | 2 |
| C8×C22⋊D113 | 2 |
| #466×C113 | 2 |
| #3285 | 113 |