Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
420 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11927148 | C2 | semidirect |
| 2. #11927112 | C2 | semidirect |
| 3. #11926920 | C2 | semidirect |
| 4. #11926909 | C2 | semidirect |
| 5. #11926898 | C2 | semidirect |
| 6. #11926761 | C2 | semidirect |
| 7. #11926737 | C2 | semidirect |
| 8. #11926688 | C2 | semidirect |
| 9. #11926676 | C2 | semidirect |
| 10. #11926606 | C2 | semidirect |
| 11. C19×#496 | C2 | semidirect |
| 14. C2×SD16×C19 | C22 | semidirect |
| 16. C19×#127 | C22 | semidirect |
| 23. D4×Dic19 | C22 | semidirect |
| 25. C2×#64525 | C22 | semidirect |
| 30. #10597316 | C22 | semidirect |
| 31. C19×#97 | C22 | semidirect |
| 32. #10597292 | C22 | semidirect |
| 35. #10597278 | C22 | semidirect |
| 37. Dic19⋊C8 | C22 | semidirect |
| 38. C4×C19⋊C8 | C22 | semidirect |
| 124. #496 | D19 | semidirect |
| 142. C2×SD16 | C2×D19 | semidirect |
| 148. #127 | C2×D19 | semidirect |
| 165. #97 | C2×D19 | semidirect |
| 167. C19 | #3220 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927148 | 2 |
| #11927112 | 2 |
| #11926920 | 2 |
| #11926909 | 2 |
| #11926898 | 2 |
| #11926761 | 2 |
| #11926737 | 2 |
| #11926688 | 2 |
| #11926676 | 2 |
| #11926606 | 2 |
| C19×#496 | 2 |
| #3220 | 19 |