Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#64543 | C2 | semidirect |
| 2. C2×#10597355 | C2 | semidirect |
| 3. C2×#10597378 | C2 | semidirect |
| 4. #11927056 | C2 | semidirect |
| 5. #11926707 | C2 | semidirect |
| 6. #11926690 | C2 | semidirect |
| 7. #11926552 | C2 | semidirect |
| 8. #11926507 | C2 | semidirect |
| 9. C19×#418 | C2 | semidirect |
| 22. C2×#64526 | C22 | semidirect |
| 24. C2×#64525 | C22 | semidirect |
| 27. C2×Dic76 | C22 | semidirect |
| 28. C2×#64516 | C22 | semidirect |
| 29. #10597343 | C22 | semidirect |
| 30. #10597341 | C22 | semidirect |
| 34. C19×#102 | C22 | semidirect |
| 35. (C2×D19)⋊C8 | C22 | semidirect |
| 36. #10597267 | C22 | semidirect |
| 41. C2×D4×C19 | D4 | semidirect |
| 65. C2×Dic38 | D4 | semidirect |
| 147. #418 | D19 | semidirect |
| 180. #102 | C2×D19 | semidirect |
| 182. C19 | #3005 | semidirect |
| 202. C2×D4 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64543 | 2 |
| C2×#10597355 | 2 |
| C2×#10597378 | 2 |
| #11927056 | 2 |
| #11926707 | 2 |
| #11926690 | 2 |
| #11926552 | 2 |
| #11926507 | 2 |
| C19×#418 | 2 |
| #3005 | 19 |