Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
488 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 488 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. #11927096 | C2 | semidirect |
| 3. #11926915 | C2 | semidirect |
| 4. #11926889 | C2 | semidirect |
| 5. #11926743 | C2 | semidirect |
| 6. #11926742 | C2 | semidirect |
| 7. #11926697 | C2 | semidirect |
| 8. #11926695 | C2 | semidirect |
| 9. #11926694 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 11. C19×#450 | C2 | semidirect |
| 16. C2×SD16×C19 | C22 | semidirect |
| 18. Q8×Dic19 | C22 | semidirect |
| 19. #10597390 | C22 | semidirect |
| 20. C2×#64527 | C22 | semidirect |
| 25. C2×#64526 | C22 | semidirect |
| 28. C2×#64516 | C22 | semidirect |
| 30. #10597334 | C22 | semidirect |
| 32. #10597333 | C22 | semidirect |
| 35. C19×#102 | C22 | semidirect |
| 37. #10597289 | C22 | semidirect |
| 39. #10597278 | C22 | semidirect |
| 40. Dic19⋊C8 | C22 | semidirect |
| 41. C8×Dic19 | C22 | semidirect |
| 42. #10597266 | C22 | semidirect |
| 111. C2×Dic19 | SD16 | semidirect |
| 155. #450 | D19 | semidirect |
| 170. C2×SD16 | C2×D19 | semidirect |
| 190. #102 | C2×D19 | semidirect |
| 194. C19 | #3208 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| C2×#10597386 | 2 |
| #11926915 | 2 |
| #11926889 | 2 |
| #11926743 | 2 |
| #11926742 | 2 |
| #11926697 | 2 |
| #11926695 | 2 |
| #11926694 | 2 |
| #11926594 | 2 |
| C19×#450 | 2 |
| #3208 | 19 |