Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
462 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 462 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. #11927255 | C2 | semidirect |
| 3. #11926861 | C2 | semidirect |
| 4. #11926831 | C2 | semidirect |
| 5. #11926772 | C2 | semidirect |
| 6. #11926741 | C2 | semidirect |
| 7. #11926696 | C2 | semidirect |
| 8. C4×#64516 | C2 | semidirect |
| 9. C8×D76 | C2 | semidirect |
| 10. #102×D19 | C2 | semidirect |
| 11. C19×#486 | C2 | semidirect |
| 14. C19×C4⋊Q8 | C22 | semidirect |
| 20. C2×#64526 | C22 | semidirect |
| 22. C2×C8×D19 | C22 | semidirect |
| 23. #10597343 | C22 | semidirect |
| 25. C4⋊C4×D19 | C22 | semidirect |
| 29. C4×Dic38 | C22 | semidirect |
| 30. C19×#102 | C22 | semidirect |
| 31. C19×#102 | C22 | semidirect |
| 32. C4×C8×C19 | C22 | semidirect |
| 33. #10597289 | C22 | semidirect |
| 35. (C2×D19)⋊C8 | C22 | semidirect |
| 36. #10597274 | C22 | semidirect |
| 37. #10597273 | C22 | semidirect |
| 39. #10597265 | C22 | semidirect |
| 40. C4⋊(C19⋊C8) | C22 | semidirect |
| 99. D76 | SD16 | semidirect |
| 133. #486 | D19 | semidirect |
| 153. C4⋊Q8 | C2×D19 | semidirect |
| 173. #102 | C2×D19 | semidirect |
| 174. #102 | C2×D19 | semidirect |
| 176. C4×C8 | C2×D19 | semidirect |
| 177. C19 | #3295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927255 | 2 |
| #11927179 | 2 |
| #11926861 | 2 |
| #11926831 | 2 |
| #11926772 | 2 |
| #11926741 | 2 |
| #11926696 | 2 |
| C4×#64516 | 2 |
| C8×D76 | 2 |
| #102×D19 | 2 |
| C19×#486 | 2 |
| #3295 | 19 |