Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
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. #11927091 | C2 | semidirect |
| 2. #127×D19 | C2 | semidirect |
| 3. #11926919 | C2 | semidirect |
| 4. #11926889 | C2 | semidirect |
| 5. #11926740 | C2 | semidirect |
| 6. #11926739 | C2 | semidirect |
| 7. #11926736 | C2 | semidirect |
| 8. #11926679 | C2 | semidirect |
| 9. #11926676 | C2 | semidirect |
| 10. #11926596 | C2 | semidirect |
| 11. C19×#459 | C2 | semidirect |
| 16. C2×D8×C19 | C22 | semidirect |
| 18. C4×D4×C19 | C22 | semidirect |
| 22. #10597386 | C22 | semidirect |
| 24. C2×#64525 | C22 | semidirect |
| 25. C2×#64525 | C22 | semidirect |
| 27. C2×D152 | C22 | semidirect |
| 29. #10597334 | C22 | semidirect |
| 33. C4×D76 | C22 | semidirect |
| 35. C19×C4⋊C8 | C22 | semidirect |
| 36. C19×#102 | C22 | semidirect |
| 37. #10597289 | C22 | semidirect |
| 38. #10597278 | C22 | semidirect |
| 40. C8×Dic19 | C22 | semidirect |
| 41. #10597266 | C22 | semidirect |
| 42. C4⋊(C19⋊C8) | C22 | semidirect |
| 127. C4×D19 | D8 | semidirect |
| 165. #459 | D19 | semidirect |
| 184. C2×D8 | C2×D19 | semidirect |
| 198. C4×D4 | C2×D19 | semidirect |
| 201. C4⋊C8 | C2×D19 | semidirect |
| 205. #102 | C2×D19 | semidirect |
| 208. C19 | #3205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927091 | 2 |
| #127×D19 | 2 |
| #11926919 | 2 |
| #11926889 | 2 |
| #11926740 | 2 |
| #11926739 | 2 |
| #11926736 | 2 |
| #11926679 | 2 |
| #11926676 | 2 |
| #11926596 | 2 |
| C19×#459 | 2 |
| #3205 | 19 |