Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20299294 | C2 | semidirect |
| 2. #20299000 | C2 | semidirect |
| 3. #20298923 | C2 | semidirect |
| 4. #20298912 | C2 | semidirect |
| 5. #20298899 | C2 | semidirect |
| 6. #20298851 | C2 | semidirect |
| 7. C4×D904 | C2 | semidirect |
| 8. #20298640 | C2 | semidirect |
| 9. #436×C113 | C2 | semidirect |
| 103. C113 | #3355 | semidirect |
| 111. #436 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299294 | 2 |
| #20299000 | 2 |
| #20298923 | 2 |
| #20298912 | 2 |
| #20298899 | 2 |
| #20298851 | 2 |
| C4×D904 | 2 |
| #20298640 | 2 |
| #436×C113 | 2 |
| #3355 | 113 |