Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 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. #125×D113 | C2 | semidirect |
| 3. #20298966 | C2 | semidirect |
| 4. #20298964 | C2 | semidirect |
| 5. #20298963 | C2 | semidirect |
| 6. #20298954 | C2 | semidirect |
| 7. #20298598 | C2 | semidirect |
| 8. #20298550 | C2 | semidirect |
| 9. #491×C113 | C2 | semidirect |
| 91. C113 | #3142 | semidirect |
| 95. #491 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299149 | 2 |
| #125×D113 | 2 |
| #20298966 | 2 |
| #20298964 | 2 |
| #20298963 | 2 |
| #20298954 | 2 |
| #20298598 | 2 |
| #20298550 | 2 |
| #491×C113 | 2 |
| #3142 | 113 |