Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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. C2×#16813653 | C2 | semidirect |
| 3. C2×#16813611 | C2 | semidirect |
| 4. #20299066 | C2 | semidirect |
| 5. #20298823 | C2 | semidirect |
| 6. #20298816 | C2 | semidirect |
| 7. #20298621 | C2 | semidirect |
| 8. #20298602 | C2 | semidirect |
| 9. #419×C113 | C2 | semidirect |
| 14. C2×#14268637 | C22 | semidirect |
| 16. C2×#14268634 | C22 | semidirect |
| 22. #16813587 | C22 | semidirect |
| 23. #16813584 | C22 | semidirect |
| 29. #16813551 | C22 | semidirect |
| 34. #103×C113 | C22 | semidirect |
| 126. C113 | #3040 | semidirect |
| 134. #419 | D113 | semidirect |
| 159. #103 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| C2×#16813650 | 2 |
| C2×#16813611 | 2 |
| #20299066 | 2 |
| #20298823 | 2 |
| #20298816 | 2 |
| #20298621 | 2 |
| #20298602 | 2 |
| #419×C113 | 2 |
| #3040 | 113 |