Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
442 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11927110 | C2 | semidirect |
| 2. #11926871 | C2 | semidirect |
| 3. #11926866 | C2 | semidirect |
| 4. #11926795 | C2 | semidirect |
| 5. #11926780 | C2 | semidirect |
| 6. #11926679 | C2 | semidirect |
| 7. #11926676 | C2 | semidirect |
| 8. #11926510 | C2 | semidirect |
| 9. C19×#466 | C2 | semidirect |
| 10. C2×D4×D19 | C22 | semidirect |
| 13. C22×C8×C19 | C22 | semidirect |
| 14. C19×#121 | C22 | semidirect |
| 19. #10597376 | C22 | semidirect |
| 20. C2×#64520 | C22 | semidirect |
| 23. #10597338 | C22 | semidirect |
| 26. C19×#107 | C22 | semidirect |
| 27. C19×#102 | C22 | semidirect |
| 28. #10597289 | C22 | semidirect |
| 29. #10597278 | C22 | semidirect |
| 30. (C2×D19)⋊C8 | C22 | semidirect |
| 31. (C2×D19)⋊C8 | C22 | semidirect |
| 32. #10597275 | C22 | semidirect |
| 33. #10597266 | C22 | semidirect |
| 34. #10597265 | C22 | semidirect |
| 125. #466 | D19 | semidirect |
| 142. C22×C8 | C2×D19 | semidirect |
| 148. #121 | C2×D19 | semidirect |
| 153. #107 | C2×D19 | semidirect |
| 158. #102 | C2×D19 | semidirect |
| 161. C19 | #3199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927110 | 2 |
| #11926871 | 2 |
| #11926866 | 2 |
| #11926795 | 2 |
| #11926780 | 2 |
| #11926679 | 2 |
| #11926676 | 2 |
| #11926510 | 2 |
| C19×#466 | 2 |
| #3199 | 19 |