Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
304 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #20298608 | C2 | semidirect |
| 5. C2×#16813540 | C2 | semidirect |
| 6. #20298369 | C2 | semidirect |
| 7. #338×C113 | C2 | semidirect |
| 12. C2×Dic452 | C4 | semidirect |
| 13. C2×#14268636 | C4 | semidirect |
| 108. C113 | #1902 | semidirect |
| 115. #338 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813655 | 2 |
| #20299364 | 2 |
| #20298614 | 2 |
| #20298608 | 2 |
| C2×#16813540 | 2 |
| #20298369 | 2 |
| #338×C113 | 2 |
| #1902 | 113 |