Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20299148 | C2 | semidirect |
| 2. #20298988 | C2 | semidirect |
| 3. #20298957 | C2 | semidirect |
| 4. #20298810 | C2 | semidirect |
| 5. #20298737 | C2 | semidirect |
| 6. #20298732 | C2 | semidirect |
| 7. #20298655 | C2 | semidirect |
| 8. C2×#124×C113 | C2 | semidirect |
| 10. C2×#14268634 | C22 | semidirect |
| 12. #16813622 | C22 | semidirect |
| 13. #16813619 | C22 | semidirect |
| 18. C4×D452 | C22 | semidirect |
| 19. C4⋊#11744751 | C22 | semidirect |
| 20. #16813546 | C22 | semidirect |
| 23. #16813533 | C22 | semidirect |
| 121. C113 | #3213 | semidirect |
| 123. C2×#124 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| #20298988 | 2 |
| #20298957 | 2 |
| #20298810 | 2 |
| #20298737 | 2 |
| #20298732 | 2 |
| #20298655 | 2 |
| C2×#124×C113 | 2 |
| #3213 | 113 |