Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20299253 | C2 | semidirect |
| 2. #20299251 | C2 | semidirect |
| 3. #20299001 | C2 | semidirect |
| 4. #20298913 | C2 | semidirect |
| 5. #20298910 | C2 | semidirect |
| 6. #20298879 | C2 | semidirect |
| 7. #20298833 | C2 | semidirect |
| 8. C4×#14268632 | C2 | semidirect |
| 9. #20298663 | C2 | semidirect |
| 10. #107×D113 | C2 | semidirect |
| 11. #474×C113 | C2 | semidirect |
| 94. D452 | D8 | semidirect |
| 103. #11744751 | #41 | semidirect |
| 130. C113 | #3334 | semidirect |
| 137. #474 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299253 | 2 |
| #20299251 | 2 |
| #20299001 | 2 |
| #20298913 | 2 |
| #20298910 | 2 |
| #20298879 | 2 |
| #20298833 | 2 |
| C4×#14268632 | 2 |
| #20298663 | 2 |
| #107×D113 | 2 |
| #474×C113 | 2 |
| #3334 | 113 |