Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
430 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 119 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. C4×#64543 | C2 | semidirect |
| 3. #11926867 | C2 | semidirect |
| 4. #11926830 | C2 | semidirect |
| 5. #11926824 | C2 | semidirect |
| 6. #11926741 | C2 | semidirect |
| 7. #11926686 | C2 | semidirect |
| 8. #11926656 | C2 | semidirect |
| 9. #11926641 | C2 | semidirect |
| 10. #11926600 | C2 | semidirect |
| 11. C19×#459 | C2 | semidirect |
| 91. D4×C19 | #41 | semidirect |
| 114. Dic38 | #41 | semidirect |
| 145. #459 | D19 | semidirect |
| 187. C19 | #3115 | semidirect |
| 241. D4 | #64543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927092 | 2 |
| C4×#64543 | 2 |
| #11926867 | 2 |
| #11926830 | 2 |
| #11926824 | 2 |
| #11926741 | 2 |
| #11926686 | 2 |
| #11926656 | 2 |
| #11926641 | 2 |
| #11926600 | 2 |
| C19×#459 | 2 |
| #3115 | 19 |