Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 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×C4⋊Dic113 | C2 | semidirect |
| 2. #20298931 | C2 | semidirect |
| 3. #20298926 | C2 | semidirect |
| 4. #20298914 | C2 | semidirect |
| 5. #20298909 | C2 | semidirect |
| 6. #20298641 | C2 | semidirect |
| 7. #20298599 | C2 | semidirect |
| 8. #20298562 | C2 | semidirect |
| 18. #16813555 | C22 | semidirect |
| 19. #16813553 | C22 | semidirect |
| 20. #16813546 | C22 | semidirect |
| 21. #16813543 | C22 | semidirect |
| 131. C113 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic113 | 2 |
| #20298931 | 2 |
| #20298926 | 2 |
| #20298914 | 2 |
| #20298909 | 2 |
| #20298641 | 2 |
| #20298599 | 2 |
| #20298562 | 2 |
| #525×C113 | 2 |
| #3092 | 113 |