Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
412 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 162 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. #20299623 | C2 | semidirect |
| 2. #20299622 | C2 | semidirect |
| 3. #20299599 | C2 | semidirect |
| 5. #20299557 | C2 | semidirect |
| 6. C4×#14268655 | C2 | semidirect |
| 10. #16813689 | C22 | semidirect |
| 11. C4⋊#11744753 | C22 | semidirect |
| 14. #16813677 | C22 | semidirect |
| 15. C4×#11744753 | C22 | semidirect |
| 98. D113 | #433 | semidirect |
| 100. C113 | C2×#433 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299623 | 2 |
| #20299622 | 2 |
| #20299599 | 2 |
| #20299566 | 2 |
| #20299557 | 2 |
| C4×#14268655 | 2 |
| #117×D113 | 2 |
| C2×#433 | 113 |