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. #11927095 | C2 | semidirect |
| 2. #127×D19 | C2 | semidirect |
| 3. #11926921 | C2 | semidirect |
| 4. #11926920 | C2 | semidirect |
| 5. #11926892 | C2 | semidirect |
| 6. #11926738 | C2 | semidirect |
| 7. #11926679 | C2 | semidirect |
| 8. #11926595 | C2 | semidirect |
| 9. C19×#486 | C2 | semidirect |
| 14. C19×C4⋊Q8 | C22 | semidirect |
| 20. C2×#64525 | C22 | semidirect |
| 21. C2×D152 | C22 | semidirect |
| 25. #10597339 | C22 | semidirect |
| 27. #10597320 | C22 | semidirect |
| 29. C19×#102 | C22 | semidirect |
| 30. C4×C8×C19 | C22 | semidirect |
| 32. Dic19⋊C8 | C22 | semidirect |
| 33. #10597266 | C22 | semidirect |
| 34. C4×C19⋊C8 | C22 | semidirect |
| 101. C4×D19 | D8 | semidirect |
| 131. #486 | D19 | semidirect |
| 148. C4⋊Q8 | C2×D19 | semidirect |
| 163. #102 | 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 |
|---|---|
| #11927095 | 2 |
| #127×D19 | 2 |
| #11926921 | 2 |
| #11926920 | 2 |
| #11926892 | 2 |
| #11926738 | 2 |
| #11926679 | 2 |
| #11926595 | 2 |
| C19×#486 | 2 |
| #3205 | 19 |