Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#10597355 | C2 | semidirect |
| 3. C2×#10597382 | C2 | semidirect |
| 4. #11927012 | C2 | semidirect |
| 5. #11926765 | C2 | semidirect |
| 6. #11926758 | C2 | semidirect |
| 7. #11926567 | C2 | semidirect |
| 8. #11926552 | C2 | semidirect |
| 9. C19×#418 | C2 | semidirect |
| 25. C2×Dic76 | C22 | semidirect |
| 26. C2×#64516 | C22 | semidirect |
| 27. #10597339 | C22 | semidirect |
| 28. #10597333 | C22 | semidirect |
| 33. Dic19⋊C8 | C22 | semidirect |
| 34. #10597267 | C22 | semidirect |
| 129. #418 | D19 | semidirect |
| 160. C19 | #3040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| C2×#10597378 | 2 |
| C2×#10597382 | 2 |
| #11927012 | 2 |
| #11926765 | 2 |
| #11926758 | 2 |
| #11926567 | 2 |
| #11926552 | 2 |
| C19×#418 | 2 |
| #3040 | 19 |