Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14268636 | C2 | semidirect |
| 2. C2×#16813628 | C2 | semidirect |
| 3. #20299174 | C2 | semidirect |
| 5. #20298845 | C2 | semidirect |
| 6. #20298828 | C2 | semidirect |
| 7. #20298606 | C2 | semidirect |
| 8. #20298602 | C2 | semidirect |
| 9. #427×C113 | C2 | semidirect |
| 18. C2×#14268630 | C22 | semidirect |
| 19. C2×C8×D113 | C22 | semidirect |
| 25. #16813602 | C22 | semidirect |
| 28. #16813545 | C22 | semidirect |
| 33. #107×C113 | C22 | semidirect |
| 34. #106×C113 | C22 | semidirect |
| 62. C2×C8×C113 | D4 | semidirect |
| 121. C113 | #3057 | semidirect |
| 128. #427 | D113 | semidirect |
| 152. #107 | C2×D113 | semidirect |
| 153. #106 | C2×D113 | semidirect |
| 180. C2×C8 | D452 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268636 | 2 |
| C2×#16813628 | 2 |
| #20299174 | 2 |
| #20299167 | 2 |
| #20298845 | 2 |
| #20298828 | 2 |
| #20298606 | 2 |
| #20298602 | 2 |
| #427×C113 | 2 |
| #3057 | 113 |