Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 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. #20299313 | C2 | semidirect |
| 2. #20299251 | C2 | semidirect |
| 3. #20298948 | C2 | semidirect |
| 4. #20298937 | C2 | semidirect |
| 5. #20298889 | C2 | semidirect |
| 6. #20298824 | C2 | semidirect |
| 7. #20298742 | C2 | semidirect |
| 8. C4×#14268632 | C2 | semidirect |
| 9. #20298663 | C2 | semidirect |
| 10. #20298593 | C2 | semidirect |
| 11. #461×C113 | C2 | semidirect |
| 131. C113 | #3303 | semidirect |
| 138. #461 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299313 | 2 |
| #20299251 | 2 |
| #20298948 | 2 |
| #20298937 | 2 |
| #20298889 | 2 |
| #20298824 | 2 |
| #20298742 | 2 |
| C4×#14268632 | 2 |
| #20298663 | 2 |
| #20298593 | 2 |
| #461×C113 | 2 |
| #3303 | 113 |