Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11927092 | C2 | semidirect |
| 2. #11927091 | C2 | semidirect |
| 3. #11926825 | C2 | semidirect |
| 4. #11926824 | C2 | semidirect |
| 5. #11926822 | C2 | semidirect |
| 6. #11926779 | C2 | semidirect |
| 7. #11926777 | C2 | semidirect |
| 8. #11926737 | C2 | semidirect |
| 9. #11926736 | C2 | semidirect |
| 10. C4⋊C8×D19 | C2 | semidirect |
| 11. C19×#459 | C2 | semidirect |
| 115. C4×D19 | D8 | semidirect |
| 153. #459 | D19 | semidirect |
| 193. C19 | #3245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927092 | 2 |
| #11927091 | 2 |
| #11926825 | 2 |
| #11926824 | 2 |
| #11926822 | 2 |
| #11926779 | 2 |
| #11926777 | 2 |
| #11926737 | 2 |
| #11926736 | 2 |
| C4⋊C8×D19 | 2 |
| C19×#459 | 2 |
| #3245 | 19 |