Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
410 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 3. #11926888 | C2 | semidirect |
| 4. #11926887 | C2 | semidirect |
| 5. #11926881 | C2 | semidirect |
| 6. #11926876 | C2 | semidirect |
| 7. #11926584 | C2 | semidirect |
| 8. #11926554 | C2 | semidirect |
| 9. #11926552 | C2 | semidirect |
| 11. C19×#428 | C2 | semidirect |
| 33. C19×#107 | C22 | semidirect |
| 34. C19×#106 | C22 | semidirect |
| 37. #10597273 | C22 | semidirect |
| 38. #10597273 | C22 | semidirect |
| 39. #10597267 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 148. #428 | D19 | semidirect |
| 180. #107 | C2×D19 | semidirect |
| 182. #106 | C2×D19 | semidirect |
| 189. C19 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597343 | 2 |
| #117×D19 | 2 |
| #11926888 | 2 |
| #11926887 | 2 |
| #11926881 | 2 |
| #11926876 | 2 |
| #11926584 | 2 |
| #11926554 | 2 |
| #11926552 | 2 |
| #11926507 | 2 |
| C19×#428 | 2 |
| #3095 | 19 |