Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
490 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 490 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×#16813652 | C2 | semidirect |
| 2. C22×#14268636 | C2 | semidirect |
| 4. #20299075 | C2 | semidirect |
| 5. #20298823 | C2 | semidirect |
| 6. #20298797 | C2 | semidirect |
| 7. #20298624 | C2 | semidirect |
| 8. #20298602 | C2 | semidirect |
| 9. #416×C113 | C2 | semidirect |
| 13. C2×#14268637 | C22 | semidirect |
| 16. C2×#14268635 | C22 | semidirect |
| 23. #16813587 | C22 | semidirect |
| 26. #16813551 | C22 | semidirect |
| 31. #103×C113 | C22 | semidirect |
| 32. #102×C113 | C22 | semidirect |
| 36. C2×Dic226 | D4 | semidirect |
| 117. C113 | #3043 | semidirect |
| 126. #416 | D113 | semidirect |
| 147. #103 | C2×D113 | semidirect |
| 149. #102 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813652 | 2 |
| C22×#14268636 | 2 |
| #20299162 | 2 |
| #20299075 | 2 |
| #20298823 | 2 |
| #20298797 | 2 |
| #20298624 | 2 |
| #20298602 | 2 |
| #416×C113 | 2 |
| #3043 | 113 |