Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20299309 | C2 | semidirect |
| 2. #20299269 | C2 | semidirect |
| 3. #20298961 | C2 | semidirect |
| 4. #20298946 | C2 | semidirect |
| 5. #20298897 | C2 | semidirect |
| 6. #20298794 | C2 | semidirect |
| 7. #20298792 | C2 | semidirect |
| 8. #20298725 | C2 | semidirect |
| 9. #20298709 | C2 | semidirect |
| 10. C4×#14268632 | C2 | semidirect |
| 11. #476×C113 | C2 | semidirect |
| 96. D452 | #41 | semidirect |
| 130. C113 | #3366 | semidirect |
| 136. #476 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299309 | 2 |
| #20299269 | 2 |
| #20298961 | 2 |
| #20298946 | 2 |
| #20298897 | 2 |
| #20298794 | 2 |
| #20298792 | 2 |
| #20298725 | 2 |
| #20298709 | 2 |
| C4×#14268632 | 2 |
| #476×C113 | 2 |
| #3366 | 113 |