Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
466 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11927057 | C2 | semidirect |
| 2. C2×#10597341 | C2 | semidirect |
| 3. #11926870 | C2 | semidirect |
| 4. #11926857 | C2 | semidirect |
| 5. #11926798 | C2 | semidirect |
| 6. #11926793 | C2 | semidirect |
| 7. #11926694 | C2 | semidirect |
| 8. #11926692 | C2 | semidirect |
| 9. #11926680 | C2 | semidirect |
| 10. #11926506 | C2 | semidirect |
| 11. C19×#483 | C2 | semidirect |
| 12. C2×#64545 | C22 | semidirect |
| 18. #10597392 | C22 | semidirect |
| 19. C2×#64527 | C22 | semidirect |
| 22. C2×D152 | C22 | semidirect |
| 23. C2×#64515 | C22 | semidirect |
| 28. #10597341 | C22 | semidirect |
| 31. #10597338 | C22 | semidirect |
| 34. C19×#106 | C22 | semidirect |
| 35. C19×#103 | C22 | semidirect |
| 38. #10597278 | C22 | semidirect |
| 39. (C2×D19)⋊C8 | C22 | semidirect |
| 40. #10597266 | C22 | semidirect |
| 41. #10597266 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 153. #483 | D19 | semidirect |
| 193. #106 | C2×D19 | semidirect |
| 194. #103 | C2×D19 | semidirect |
| 201. C19 | #3194 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927057 | 2 |
| C2×#10597341 | 2 |
| #11926870 | 2 |
| #11926857 | 2 |
| #11926798 | 2 |
| #11926793 | 2 |
| #11926694 | 2 |
| #11926692 | 2 |
| #11926680 | 2 |
| #11926506 | 2 |
| C19×#483 | 2 |
| #3194 | 19 |