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. #11927150 | C2 | semidirect |
| 2. #11927107 | C2 | semidirect |
| 3. #11926933 | C2 | semidirect |
| 4. #11926920 | C2 | semidirect |
| 5. #11926901 | C2 | semidirect |
| 6. #11926758 | C2 | semidirect |
| 7. #11926738 | C2 | semidirect |
| 8. #11926690 | C2 | semidirect |
| 9. #11926679 | C2 | semidirect |
| 10. #11926606 | C2 | semidirect |
| 11. C19×#490 | C2 | semidirect |
| 15. C19×#125 | C22 | semidirect |
| 21. C2×#64525 | C22 | semidirect |
| 23. C2×#64516 | C22 | semidirect |
| 27. #10597339 | C22 | semidirect |
| 29. #10597320 | C22 | semidirect |
| 32. C19×#102 | C22 | semidirect |
| 33. C19×#97 | C22 | semidirect |
| 35. Dic19⋊C8 | C22 | semidirect |
| 36. #10597267 | C22 | semidirect |
| 38. C4×C19⋊C8 | C22 | semidirect |
| 126. #490 | D19 | semidirect |
| 149. #125 | C2×D19 | semidirect |
| 163. #102 | 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 |
|---|---|
| #11927150 | 2 |
| #11927107 | 2 |
| #11926933 | 2 |
| #11926920 | 2 |
| #11926901 | 2 |
| #11926758 | 2 |
| #11926738 | 2 |
| #11926690 | 2 |
| #11926679 | 2 |
| #11926606 | 2 |
| C19×#490 | 2 |
| #3220 | 19 |