Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
374 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #20298938 | C2 | semidirect |
| 4. #20298880 | C2 | semidirect |
| 5. #20298855 | C2 | semidirect |
| 6. #20298805 | C2 | semidirect |
| 7. #20298755 | C2 | semidirect |
| 8. C4×Dic452 | C2 | semidirect |
| 10. #20298605 | C2 | semidirect |
| 11. #487×C113 | C2 | semidirect |
| 122. C113 | #3328 | semidirect |
| 125. #487 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299322 | 2 |
| #20299263 | 2 |
| #20298938 | 2 |
| #20298880 | 2 |
| #20298855 | 2 |
| #20298805 | 2 |
| #20298755 | 2 |
| C4×Dic452 | 2 |
| #20298677 | 2 |
| #20298605 | 2 |
| #487×C113 | 2 |
| #3328 | 113 |