Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20298957 | C2 | semidirect |
| 3. #20298952 | C2 | semidirect |
| 4. #20298607 | C2 | semidirect |
| 6. C4×#14268631 | C2 | semidirect |
| 9. #16813622 | C22 | semidirect |
| 10. #16813614 | C22 | semidirect |
| 14. #16813546 | C22 | semidirect |
| 16. #16813533 | C22 | semidirect |
| 17. C4×#11744751 | C22 | semidirect |
| 84. C113 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299155 | 2 |
| #20298957 | 2 |
| #20298952 | 2 |
| #20298607 | 2 |
| #20298603 | 2 |
| C4×#14268631 | 2 |
| C2×#124×C113 | 2 |
| #3140 | 113 |