Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
380 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20299330 | C2 | semidirect |
| 2. #20298984 | C2 | semidirect |
| 3. #20298822 | C2 | semidirect |
| 4. #20298810 | C2 | semidirect |
| 5. #20298791 | C2 | semidirect |
| 6. #20298728 | C2 | semidirect |
| 7. #20298699 | C2 | semidirect |
| 8. C4×D904 | C2 | semidirect |
| 9. #495×C113 | C2 | semidirect |
| 109. C113 | #3403 | semidirect |
| 112. #495 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299330 | 2 |
| #20298984 | 2 |
| #20298822 | 2 |
| #20298810 | 2 |
| #20298791 | 2 |
| #20298728 | 2 |
| #20298699 | 2 |
| C4×D904 | 2 |
| #495×C113 | 2 |
| #3403 | 113 |