Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 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. #11927358 | C2 | semidirect |
| 2. #11927345 | C2 | semidirect |
| 3. #11926987 | C2 | semidirect |
| 4. #11926983 | C2 | semidirect |
| 5. #11926978 | C2 | semidirect |
| 6. #11926974 | C2 | semidirect |
| 7. #11926973 | C2 | semidirect |
| 8. C2×#10597284 | C2 | semidirect |
| 9. SD32×D19 | C2 | semidirect |
| 10. #11926962 | C2 | semidirect |
| 11. C19×#509 | C2 | semidirect |
| 14. C19×#135 | C22 | semidirect |
| 18. Q16×D19 | C22 | semidirect |
| 21. #10597358 | C22 | semidirect |
| 24. C2×Dic76 | C22 | semidirect |
| 27. C19×SD32 | C22 | semidirect |
| 28. C19×D16 | C22 | semidirect |
| 29. C19×M32 | C22 | semidirect |
| 30. #10597286 | C22 | semidirect |
| 31. #10597285 | C22 | semidirect |
| 32. #10597284 | C22 | semidirect |
| 33. #10597284 | C22 | semidirect |
| 34. #10597284 | C22 | semidirect |
| 35. #10597283 | C22 | semidirect |
| 36. C2×C19⋊C16 | C22 | semidirect |
| 37. Dic152 | C22 | semidirect |
| 38. #10597257 | C22 | semidirect |
| 39. #10597255 | C22 | semidirect |
| 40. C16×D19 | C22 | semidirect |
| 126. #509 | D19 | semidirect |
| 147. #135 | C2×D19 | semidirect |
| 160. SD32 | C2×D19 | semidirect |
| 162. D16 | C2×D19 | semidirect |
| 164. M32 | C2×D19 | semidirect |
| 167. C19 | #3416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927358 | 2 |
| #11927345 | 2 |
| #11926987 | 2 |
| #11926983 | 2 |
| #11926978 | 2 |
| #11926974 | 2 |
| #11926973 | 2 |
| C2×#10597284 | 2 |
| SD32×D19 | 2 |
| #11926962 | 2 |
| C19×#509 | 2 |
| #3416 | 19 |