Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
360 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. M16×Dic113 | C2 | semidirect |
| 5. C42×Dic113 | C2 | semidirect |
| 6. #20298357 | C2 | semidirect |
| 7. #339×C113 | C2 | semidirect |
| 10. #16813587 | C4 | semidirect |
| 11. #16813584 | C4 | semidirect |
| 18. #16813550 | C4 | semidirect |
| 19. #16813548 | C4 | semidirect |
| 37. #14268631 | C2×C4 | semidirect |
| 45. C4×Dic113 | C2×C4 | semidirect |
| 51. M16×C113 | C2×C4 | semidirect |
| 57. C42×C113 | C2×C4 | semidirect |
| 78. D452 | C42 | semidirect |
| 83. Dic226 | C42 | semidirect |
| 101. Dic113 | #104 | semidirect |
| 108. C113 | C4×#104 | semidirect |
| 115. #339 | D113 | semidirect |
| 149. M16 | C4×D113 | semidirect |
| 165. C42 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299066 | 2 |
| C2×#16813550 | 2 |
| C2×#16813548 | 2 |
| M16×Dic113 | 2 |
| C42×Dic113 | 2 |
| #20298357 | 2 |
| #339×C113 | 2 |
| C4×#104 | 113 |