Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#16813653 | C2 | semidirect |
| 2. C2×#16813652 | C2 | semidirect |
| 4. C22×#14268637 | C2 | semidirect |
| 5. #20299174 | C2 | semidirect |
| 6. #20298993 | C2 | semidirect |
| 7. #20298990 | C2 | semidirect |
| 8. #20298980 | C2 | semidirect |
| 9. #20298977 | C2 | semidirect |
| 10. #20298554 | C2 | semidirect |
| 11. #536×C113 | C2 | semidirect |
| 144. C113 | #3156 | semidirect |
| 150. #536 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| C2×#16813652 | 2 |
| C2×#16813642 | 2 |
| C22×#14268637 | 2 |
| #20299174 | 2 |
| #20298993 | 2 |
| #20298990 | 2 |
| #20298980 | 2 |
| #20298977 | 2 |
| #20298554 | 2 |
| #536×C113 | 2 |
| #3156 | 113 |