Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
| 3. #20298992 | C2 | semidirect |
| 4. #20298958 | C2 | semidirect |
| 5. #20298821 | C2 | semidirect |
| 6. #20298756 | C2 | semidirect |
| 8. #432×C113 | C2 | semidirect |
| 11. C2×Dic452 | C22 | semidirect |
| 13. #16813622 | C22 | semidirect |
| 14. #16813622 | C22 | semidirect |
| 23. C4×Dic226 | C22 | semidirect |
| 27. #16813547 | C22 | semidirect |
| 30. C4⋊C8×C113 | C22 | semidirect |
| 32. #97×C113 | C22 | semidirect |
| 113. C113 | #3215 | semidirect |
| 121. #432 | D113 | semidirect |
| 141. C4⋊C8 | C2×D113 | semidirect |
| 145. #97 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299155 | 2 |
| C2×#16813610 | 2 |
| #20298992 | 2 |
| #20298958 | 2 |
| #20298821 | 2 |
| #20298756 | 2 |
| #20298751 | 2 |
| #432×C113 | 2 |
| #3215 | 113 |