Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
456 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 177 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. C2×#16813630 | C2 | semidirect |
| 3. #20298719 | C2 | semidirect |
| 4. #20298714 | C2 | semidirect |
| 5. #20298614 | C2 | semidirect |
| 6. #20298556 | C2 | semidirect |
| 7. #430×C113 | C2 | semidirect |
| 9. #16813655 | C4 | semidirect |
| 10. #16813650 | C4 | semidirect |
| 14. #16813630 | C22 | semidirect |
| 15. #16813630 | C22 | semidirect |
| 20. #16813548 | C22 | semidirect |
| 21. #16813532 | C22 | semidirect |
| 22. C8×Dic113 | C22 | semidirect |
| 25. #108×C113 | C22 | semidirect |
| 90. C113 | #2955 | semidirect |
| 95. #430 | D113 | semidirect |
| 112. #108 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299398 | 2 |
| C2×#16813630 | 2 |
| #20298719 | 2 |
| #20298714 | 2 |
| #20298614 | 2 |
| #20298556 | 2 |
| #430×C113 | 2 |
| #2955 | 113 |