Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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×#16813601 | C2 | semidirect |
| 2. #20298939 | C2 | semidirect |
| 3. #20298926 | C2 | semidirect |
| 4. #20298909 | C2 | semidirect |
| 5. #20298837 | C2 | semidirect |
| 6. #20298825 | C2 | semidirect |
| 7. #20298760 | C2 | semidirect |
| 8. #20298753 | C2 | semidirect |
| 9. #20298736 | C2 | semidirect |
| 10. C2×C22⋊#11744751 | C2 | semidirect |
| 13. C2×#14268637 | C22 | semidirect |
| 14. C2×#14268635 | C22 | semidirect |
| 23. #16813555 | C22 | semidirect |
| 24. #16813553 | C22 | semidirect |
| 25. #16813546 | C22 | semidirect |
| 26. #16813545 | C22 | semidirect |
| 27. #16813545 | C22 | semidirect |
| 28. #16813543 | C22 | semidirect |
| 150. C113 | #3190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813601 | 2 |
| #20298939 | 2 |
| #20298926 | 2 |
| #20298909 | 2 |
| #20298837 | 2 |
| #20298825 | 2 |
| #20298760 | 2 |
| #20298753 | 2 |
| #20298736 | 2 |
| C2×C22⋊#11744751 | 2 |
| #525×C113 | 2 |
| #3190 | 113 |