Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
422 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 161 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 |
|---|---|---|
| 2. #20298671 | C2 | semidirect |
| 3. #20298668 | C2 | semidirect |
| 4. C8×D452 | C2 | semidirect |
| 5. #20298663 | C2 | semidirect |
| 6. #20298659 | C2 | semidirect |
| 7. #20298563 | C2 | semidirect |
| 8. C22⋊C8×D113 | C2 | semidirect |
| 9. #433×C113 | C2 | semidirect |
| 12. C2×#14268630 | C22 | semidirect |
| 15. C2×C8×D113 | C22 | semidirect |
| 22. C4⋊#11744751 | C22 | semidirect |
| 26. #16813534 | C22 | semidirect |
| 27. #16813534 | C22 | semidirect |
| 28. #16813533 | C22 | semidirect |
| 29. C4×#11744751 | C22 | semidirect |
| 31. C4⋊C8×C113 | C22 | semidirect |
| 33. #97×C113 | C22 | semidirect |
| 34. C4×C8×C113 | C22 | semidirect |
| 115. C113 | #2977 | semidirect |
| 122. #433 | D113 | semidirect |
| 139. C4⋊C8 | C2×D113 | semidirect |
| 147. #97 | C2×D113 | semidirect |
| 149. C4×C8 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299110 | 2 |
| #20298671 | 2 |
| #20298668 | 2 |
| C8×D452 | 2 |
| #20298663 | 2 |
| #20298659 | 2 |
| #20298563 | 2 |
| C22⋊C8×D113 | 2 |
| #433×C113 | 2 |
| #2977 | 113 |