Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
366 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20299155 | C2 | semidirect |
| 2. #20299008 | C2 | semidirect |
| 3. #20298993 | C2 | semidirect |
| 4. #20298968 | C2 | semidirect |
| 5. #20298957 | C2 | semidirect |
| 6. #20298837 | C2 | semidirect |
| 8. #20298703 | C2 | semidirect |
| 9. #20298698 | C2 | semidirect |
| 10. C2×#16813533 | C2 | semidirect |
| 130. C113 | #3181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299155 | 2 |
| #20299008 | 2 |
| #20298993 | 2 |
| #20298968 | 2 |
| #20298957 | 2 |
| #20298837 | 2 |
| #20298825 | 2 |
| #20298703 | 2 |
| #20298698 | 2 |
| C2×#16813533 | 2 |
| #529×C113 | 2 |
| #3181 | 113 |