Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#64526 | C2 | semidirect |
| 2. #11927115 | C2 | semidirect |
| 3. #11927019 | C2 | semidirect |
| 4. #11926757 | C2 | semidirect |
| 5. #11926747 | C2 | semidirect |
| 6. #11926572 | C2 | semidirect |
| 7. #11926554 | C2 | semidirect |
| 8. #11926540 | C2 | semidirect |
| 18. #10597390 | C22 | semidirect |
| 19. #10597382 | C22 | semidirect |
| 29. #10597292 | C22 | semidirect |
| 30. #10597289 | C22 | semidirect |
| 31. #10597273 | C22 | semidirect |
| 32. Dic19⋊C8 | C22 | semidirect |
| 149. C19 | #3042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64526 | 2 |
| #11927115 | 2 |
| #11927019 | 2 |
| #11926757 | 2 |
| #11926747 | 2 |
| #11926572 | 2 |
| #11926554 | 2 |
| #11926540 | 2 |
| C2×C19×AGL(1,ℤ/8) | 2 |
| #3042 | 19 |