Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
492 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14268635 | C2 | semidirect |
| 2. C2×#16813630 | C2 | semidirect |
| 3. #20299174 | C2 | semidirect |
| 5. #20298843 | C2 | semidirect |
| 6. #20298826 | C2 | semidirect |
| 7. #20298634 | C2 | semidirect |
| 8. #20298608 | C2 | semidirect |
| 9. #418×C113 | C2 | semidirect |
| 16. C2×#14268630 | C22 | semidirect |
| 18. C2×C8×D113 | C22 | semidirect |
| 24. #16813602 | C22 | semidirect |
| 28. #16813555 | C22 | semidirect |
| 29. #16813553 | C22 | semidirect |
| 30. #16813547 | C22 | semidirect |
| 50. C2×#11744751 | D4 | semidirect |
| 121. C113 | #3057 | semidirect |
| 130. #418 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268635 | 2 |
| C2×#16813630 | 2 |
| #20299174 | 2 |
| #20299165 | 2 |
| #20298843 | 2 |
| #20298826 | 2 |
| #20298634 | 2 |
| #20298608 | 2 |
| #418×C113 | 2 |
| #3057 | 113 |