Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20299145 | C2 | semidirect |
| 2. #127×D113 | C2 | semidirect |
| 3. #20298973 | C2 | semidirect |
| 4. #20298943 | C2 | semidirect |
| 5. #20298794 | C2 | semidirect |
| 6. #20298793 | C2 | semidirect |
| 7. #20298790 | C2 | semidirect |
| 8. #20298733 | C2 | semidirect |
| 9. #20298730 | C2 | semidirect |
| 10. #20298650 | C2 | semidirect |
| 11. #459×C113 | C2 | semidirect |
| 16. C2×D904 | C22 | semidirect |
| 17. C2×#14268632 | C22 | semidirect |
| 18. C2×#14268632 | C22 | semidirect |
| 19. #16813621 | C22 | semidirect |
| 24. #16813618 | C22 | semidirect |
| 29. C4×D452 | C22 | semidirect |
| 32. C4⋊#11744751 | C22 | semidirect |
| 33. #16813544 | C22 | semidirect |
| 34. #16813543 | C22 | semidirect |
| 35. #16813542 | C22 | semidirect |
| 37. C8×Dic113 | C22 | semidirect |
| 38. C2×D8×C113 | C22 | semidirect |
| 40. C4×D4×C113 | C22 | semidirect |
| 41. C4⋊C8×C113 | C22 | semidirect |
| 42. #102×C113 | C22 | semidirect |
| 127. C4×D113 | D8 | semidirect |
| 166. C113 | #3205 | semidirect |
| 174. #459 | D113 | semidirect |
| 185. C2×D8 | C2×D113 | semidirect |
| 199. C4×D4 | C2×D113 | semidirect |
| 202. C4⋊C8 | C2×D113 | semidirect |
| 206. #102 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299145 | 2 |
| #127×D113 | 2 |
| #20298973 | 2 |
| #20298943 | 2 |
| #20298794 | 2 |
| #20298793 | 2 |
| #20298790 | 2 |
| #20298733 | 2 |
| #20298730 | 2 |
| #20298650 | 2 |
| #459×C113 | 2 |
| #3205 | 113 |