Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#10597378 | C2 | semidirect |
| 2. C2×#10597396 | C2 | semidirect |
| 3. #11927024 | C2 | semidirect |
| 4. #11926763 | C2 | semidirect |
| 5. #11926756 | C2 | semidirect |
| 6. #11926741 | C2 | semidirect |
| 7. #11926736 | C2 | semidirect |
| 8. #11926571 | C2 | semidirect |
| 9. #11926545 | C2 | semidirect |
| 10. C2×#10597289 | C2 | semidirect |
| 11. C19×#535 | C2 | semidirect |
| 22. C2×#64528 | C22 | semidirect |
| 23. C2×#64527 | C22 | semidirect |
| 25. C2×#64526 | C22 | semidirect |
| 28. C2×#64525 | C22 | semidirect |
| 35. C4×D76 | C22 | semidirect |
| 36. C4×Dic38 | C22 | semidirect |
| 37. #10597292 | C22 | semidirect |
| 40. #10597289 | C22 | semidirect |
| 41. C4⋊(C19⋊C8) | C22 | semidirect |
| 42. C4⋊(C19⋊C8) | C22 | semidirect |
| 60. #64541 | D4 | semidirect |
| 150. #535 | D19 | semidirect |
| 197. C19 | #3045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597378 | 2 |
| C2×#10597396 | 2 |
| #11927024 | 2 |
| #11926763 | 2 |
| #11926756 | 2 |
| #11926741 | 2 |
| #11926736 | 2 |
| #11926571 | 2 |
| #11926545 | 2 |
| C2×#10597289 | 2 |
| C19×#535 | 2 |
| #3045 | 19 |