Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
256 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. C2×#16813557 | C2 | semidirect |
| 3. #20298634 | C2 | semidirect |
| 5. #20298369 | C2 | semidirect |
| 6. #20298368 | C2 | semidirect |
| 10. #16813629 | C4 | semidirect |
| 11. #16813629 | C4 | semidirect |
| 106. C113 | #1814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813629 | 2 |
| C2×#16813557 | 2 |
| #20298634 | 2 |
| #20298615 | 2 |
| #20298369 | 2 |
| #20298368 | 2 |
| #421×C113 | 2 |
| #1814 | 113 |