Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
472 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927054 | C2 | semidirect |
| 2. C2×#10597384 | C2 | semidirect |
| 3. #11926880 | C2 | semidirect |
| 4. #11926866 | C2 | semidirect |
| 5. #11926860 | C2 | semidirect |
| 6. #11926777 | C2 | semidirect |
| 7. #11926772 | C2 | semidirect |
| 8. #11926695 | C2 | semidirect |
| 9. #11926686 | C2 | semidirect |
| 10. C22⋊C8×D19 | C2 | semidirect |
| 11. C19×#447 | C2 | semidirect |
| 14. C2×#64543 | C22 | semidirect |
| 16. C2×D8×C19 | C22 | semidirect |
| 23. #10597384 | C22 | semidirect |
| 26. C2×#64526 | C22 | semidirect |
| 29. C2×C8×D19 | C22 | semidirect |
| 30. #10597343 | C22 | semidirect |
| 31. #10597338 | C22 | semidirect |
| 34. C19×#102 | C22 | semidirect |
| 36. #10597289 | C22 | semidirect |
| 37. #10597289 | C22 | semidirect |
| 39. (C2×D19)⋊C8 | C22 | semidirect |
| 40. #10597275 | C22 | semidirect |
| 41. #10597273 | C22 | semidirect |
| 42. #10597265 | C22 | semidirect |
| 160. #447 | D19 | semidirect |
| 175. C2×D8 | C2×D19 | semidirect |
| 197. #102 | C2×D19 | semidirect |
| 201. C19 | #3188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927054 | 2 |
| C2×#10597384 | 2 |
| #11926880 | 2 |
| #11926866 | 2 |
| #11926860 | 2 |
| #11926777 | 2 |
| #11926772 | 2 |
| #11926695 | 2 |
| #11926686 | 2 |
| C22⋊C8×D19 | 2 |
| C19×#447 | 2 |
| #3188 | 19 |