Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
544 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 197 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 |
|---|---|---|
| 2. C2×#16813587 | C2 | semidirect |
| 4. #20298695 | C2 | direct (N × H) |
| 5. C2×#16813555 | C2 | semidirect |
| 6. C2×#16813547 | C2 | semidirect |
| 7. C2×#16813532 | C2 | semidirect |
| 11. C2×#14268635 | C4 | semidirect |
| 15. #16813587 | C22 | semidirect |
| 23. #16813555 | C22 | semidirect |
| 24. #16813547 | C22 | semidirect |
| 25. #16813532 | C22 | semidirect |
| 32. C2×Dic226 | C2×C4 | semidirect |
| 40. #14268635 | C2×C4 | semidirect |
| 41. C2×#11744751 | C2×C4 | semidirect |
| 86. Dic226 | C22×C4 | semidirect |
| 88. #11744751 | C22×C4 | semidirect |
| 106. C2×C113 | #440 | semidirect |
| 111. C113 | C2×#440 | semidirect |
| 217. C2 | #20298695 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268635 | 2 |
| C2×#16813587 | 2 |
| C2×D4×Dic113 | 2 |
| #20298695 | 2 |
| C2×#16813555 | 2 |
| C2×#16813547 | 2 |
| C2×#16813532 | 2 |
| C2×#102×C113 | 2 |
| C2×#440 | 113 |