Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
786 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 165 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×#10597375 | C2 | semidirect |
| 3. C2×#10597372 | C2 | semidirect |
| 4. #11926467 | C2 | semidirect |
| 5. #11926460 | C2 | semidirect |
| 6. #11926444 | C2 | semidirect |
| 7. #11926438 | C2 | semidirect |
| 8. #11926423 | C2 | semidirect |
| 9. #11926417 | C2 | semidirect |
| 10. #11926400 | C2 | semidirect |
| 11. C22×C22⋊C4×C19 | C2 | semidirect |
| 28. C2×(C2×D19)⋊C4 | C22 | semidirect |
| 29. C2×(C2×D19)⋊C4 | C22 | semidirect |
| 30. C2×(C2×D19)⋊C4 | C22 | semidirect |
| 32. C2×C4⋊Dic19 | C22 | semidirect |
| 33. C2×Dic19⋊C4 | C22 | semidirect |
| 34. C2×Dic19⋊C4 | C22 | semidirect |
| 35. C2×Dic19⋊C4 | C22 | semidirect |
| 36. C2×C4×Dic19 | C22 | semidirect |
| 37. C19⋊#95 | C22 | semidirect |
| 38. C19⋊#95 | C22 | semidirect |
| 51. C22×C4×C19 | D4 | semidirect |
| 166. C22×C22⋊C4 | D19 | semidirect |
| 209. C19 | #2411 | semidirect |
| 233. C22×C4 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597375 | 2 |
| C2×#10597399 | 2 |
| C2×#10597372 | 2 |
| #11926467 | 2 |
| #11926460 | 2 |
| #11926444 | 2 |
| #11926438 | 2 |
| #11926423 | 2 |
| #11926417 | 2 |
| #11926400 | 2 |
| C22×C22⋊C4×C19 | 2 |
| #2411 | 19 |