Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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×#16813641 | C2 | semidirect |
| 2. C2×M16×D113 | C2 | semidirect |
| 3. #20299108 | C2 | semidirect |
| 4. #20298857 | C2 | semidirect |
| 5. #20298856 | C2 | semidirect |
| 6. #20298848 | C2 | semidirect |
| 7. #20298843 | C2 | semidirect |
| 8. #20298842 | C2 | semidirect |
| 9. #20298633 | C2 | semidirect |
| 10. #20298591 | C2 | semidirect |
| 11. #469×C113 | C2 | semidirect |
| 15. C2×Dic452 | C22 | semidirect |
| 16. C2×#14268635 | C22 | semidirect |
| 31. #16813555 | C22 | semidirect |
| 32. #16813554 | C22 | semidirect |
| 33. #16813547 | C22 | semidirect |
| 34. #16813545 | C22 | semidirect |
| 35. #16813543 | C22 | semidirect |
| 36. C2×D8×C113 | C22 | semidirect |
| 39. #106×C113 | C22 | semidirect |
| 40. #102×C113 | C22 | semidirect |
| 63. C8×D113 | D4 | semidirect |
| 141. C113 | #3054 | semidirect |
| 148. #469 | D113 | semidirect |
| 158. C2×D8 | C2×D113 | semidirect |
| 177. #106 | C2×D113 | semidirect |
| 181. #102 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813641 | 2 |
| C2×M16×D113 | 2 |
| #20299108 | 2 |
| #20298857 | 2 |
| #20298856 | 2 |
| #20298848 | 2 |
| #20298843 | 2 |
| #20298842 | 2 |
| #20298633 | 2 |
| #20298591 | 2 |
| #469×C113 | 2 |
| #3054 | 113 |