Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
398 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20299305 | C2 | semidirect |
| 3. #20298945 | C2 | semidirect |
| 4. #20298912 | C2 | semidirect |
| 5. #20298894 | C2 | semidirect |
| 6. #20298844 | C2 | semidirect |
| 7. #20298799 | C2 | semidirect |
| 8. #20298762 | C2 | semidirect |
| 9. C4×Dic452 | C2 | semidirect |
| 10. #20298600 | C2 | semidirect |
| 11. #436×C113 | C2 | semidirect |
| 129. C113 | #3333 | semidirect |
| 139. #436 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299305 | 2 |
| #20299269 | 2 |
| #20298945 | 2 |
| #20298912 | 2 |
| #20298894 | 2 |
| #20298844 | 2 |
| #20298799 | 2 |
| #20298762 | 2 |
| C4×Dic452 | 2 |
| #20298600 | 2 |
| #436×C113 | 2 |
| #3333 | 113 |