Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 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. #20298614 | C2 | semidirect |
| 3. #20298594 | C2 | semidirect |
| 4. #20298566 | C2 | semidirect |
| 5. #20298369 | C2 | semidirect |
| 6. #20298362 | C2 | semidirect |
| 7. #568×C113 | C2 | semidirect |
| 10. #16813652 | C4 | semidirect |
| 12. #16813647 | C4 | semidirect |
| 119. C113 | #1881 | semidirect |
| 121. #568 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299396 | 2 |
| #20298614 | 2 |
| #20298594 | 2 |
| #20298566 | 2 |
| #20298369 | 2 |
| #20298362 | 2 |
| #568×C113 | 2 |
| #1881 | 113 |