Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
592 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#14268637 | C2 | semidirect |
| 2. C22×#14268636 | C2 | semidirect |
| 4. C2×#16813611 | C2 | semidirect |
| 5. C2×#16813609 | C2 | semidirect |
| 6. #20298979 | C2 | direct (N × H) |
| 7. C2×C8×Dic113 | C2 | semidirect |
| 8. C22×SD16×C113 | C2 | semidirect |
| 12. C2×#14268637 | C22 | semidirect |
| 14. C2×#14268636 | C22 | semidirect |
| 19. #16813611 | C22 | semidirect |
| 21. #16813609 | C22 | semidirect |
| 25. C8×Dic113 | C22 | semidirect |
| 29. C2×SD16×C113 | C22 | semidirect |
| 112. C2×C113 | #495 | semidirect |
| 117. C113 | C2×#495 | semidirect |
| 120. C22×SD16 | D113 | semidirect |
| 135. C2×SD16 | C2×D113 | semidirect |
| 230. C2 | #20298979 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268637 | 2 |
| C22×#14268636 | 2 |
| C22×#14268632 | 2 |
| C2×#16813611 | 2 |
| C2×#16813609 | 2 |
| #20298979 | 2 |
| C2×C8×Dic113 | 2 |
| C22×SD16×C113 | 2 |
| C2×#495 | 113 |