Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
532 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927092 | C2 | semidirect |
| 2. #127×D19 | C2 | semidirect |
| 3. #11926920 | C2 | semidirect |
| 4. #11926891 | C2 | semidirect |
| 5. #11926890 | C2 | semidirect |
| 6. #11926737 | C2 | semidirect |
| 7. #11926676 | C2 | semidirect |
| 8. #11926595 | C2 | semidirect |
| 9. C19×#493 | C2 | semidirect |
| 14. C2×D8×C19 | C22 | semidirect |
| 16. C19×#127 | C22 | semidirect |
| 24. D4×Dic19 | C22 | semidirect |
| 25. C2×#64525 | C22 | semidirect |
| 28. #10597315 | C22 | semidirect |
| 29. C4×C8×C19 | C22 | semidirect |
| 30. #10597289 | C22 | semidirect |
| 31. #10597278 | C22 | semidirect |
| 33. Dic19⋊C8 | C22 | semidirect |
| 34. C4×C19⋊C8 | C22 | semidirect |
| 100. C4×D19 | D8 | semidirect |
| 129. #493 | D19 | semidirect |
| 147. C2×D8 | C2×D19 | semidirect |
| 154. #127 | C2×D19 | semidirect |
| 166. C4×C8 | C2×D19 | semidirect |
| 167. C19 | #3205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927092 | 2 |
| #127×D19 | 2 |
| #11926920 | 2 |
| #11926891 | 2 |
| #11926890 | 2 |
| #11926737 | 2 |
| #11926676 | 2 |
| #11926595 | 2 |
| C19×#493 | 2 |
| #3205 | 19 |