Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20299323 | C2 | semidirect |
| 3. #20298989 | C2 | semidirect |
| 4. #20298818 | C2 | semidirect |
| 5. #20298805 | C2 | semidirect |
| 6. #20298801 | C2 | semidirect |
| 8. #20298728 | C2 | semidirect |
| 9. #20298699 | C2 | semidirect |
| 10. C4×Dic452 | C2 | semidirect |
| 122. C113 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299334 | 2 |
| #20299323 | 2 |
| #20298989 | 2 |
| #20298818 | 2 |
| #20298805 | 2 |
| #20298801 | 2 |
| #20298795 | 2 |
| #20298728 | 2 |
| #20298699 | 2 |
| C4×Dic452 | 2 |
| #492×C113 | 2 |
| #3400 | 113 |