Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 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. #20299078 | C2 | semidirect |
| 3. #20298700 | C2 | semidirect |
| 4. C4×Dic452 | C2 | semidirect |
| 5. C4×D904 | C2 | semidirect |
| 6. C2×#16813556 | C2 | semidirect |
| 7. #20298600 | C2 | semidirect |
| 8. #405×C113 | C2 | semidirect |
| 10. #16813644 | C4 | semidirect |
| 30. #14268647 | C2×C4 | semidirect |
| 37. Dic452 | C2×C4 | semidirect |
| 38. #14268636 | C2×C4 | semidirect |
| 39. D904 | C2×C4 | semidirect |
| 47. C2×C8×C113 | C2×C4 | semidirect |
| 96. C113 | #2951 | semidirect |
| 104. #405 | D113 | semidirect |
| 138. C2×C8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813644 | 2 |
| #20299078 | 2 |
| #20298700 | 2 |
| C4×Dic452 | 2 |
| C4×D904 | 2 |
| C2×#16813556 | 2 |
| #20298600 | 2 |
| #405×C113 | 2 |
| #2951 | 113 |