Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
410 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927079 | C2 | semidirect |
| 3. #11926954 | C2 | semidirect |
| 4. #11926931 | C2 | semidirect |
| 5. #11926904 | C2 | semidirect |
| 6. #11926779 | C2 | semidirect |
| 7. #11926772 | C2 | semidirect |
| 8. #11926653 | C2 | semidirect |
| 9. #11926641 | C2 | semidirect |
| 10. #97×D19 | C2 | semidirect |
| 11. C19×#490 | C2 | semidirect |
| 110. C19⋊C8 | #41 | semidirect |
| 136. #490 | D19 | semidirect |
| 180. C19 | #3180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927092 | 2 |
| #11927079 | 2 |
| #11926954 | 2 |
| #11926931 | 2 |
| #11926904 | 2 |
| #11926779 | 2 |
| #11926772 | 2 |
| #11926653 | 2 |
| #11926641 | 2 |
| #97×D19 | 2 |
| C19×#490 | 2 |
| #3180 | 19 |