Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 175 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. #20299077 | C2 | semidirect |
| 3. #20298710 | C2 | semidirect |
| 4. #20298706 | C2 | semidirect |
| 5. #20298704 | C2 | semidirect |
| 6. #20298689 | C2 | semidirect |
| 7. C4×#14268635 | C2 | semidirect |
| 8. #106×D113 | C2 | semidirect |
| 9. #20298596 | C2 | semidirect |
| 10. #20298555 | C2 | semidirect |
| 11. #442×C113 | C2 | semidirect |
| 13. #16813641 | C4 | semidirect |
| 41. #14268646 | C2×C4 | semidirect |
| 48. Dic452 | C2×C4 | semidirect |
| 49. #14268635 | C2×C4 | semidirect |
| 53. C8×D113 | C2×C4 | semidirect |
| 66. D8×C113 | C2×C4 | semidirect |
| 115. C113 | #2952 | semidirect |
| 119. #442 | D113 | semidirect |
| 167. D8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813641 | 2 |
| #20299077 | 2 |
| #20298710 | 2 |
| #20298706 | 2 |
| #20298704 | 2 |
| #20298689 | 2 |
| C4×#14268635 | 2 |
| #106×D113 | 2 |
| #20298596 | 2 |
| #20298555 | 2 |
| #442×C113 | 2 |
| #2952 | 113 |