Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
410 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 410 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. #11927073 | C2 | semidirect |
| 3. #11926953 | C2 | semidirect |
| 4. #11926908 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926777 | C2 | semidirect |
| 7. #11926770 | C2 | semidirect |
| 8. #11926656 | C2 | semidirect |
| 9. #11926645 | C2 | semidirect |
| 10. #97×D19 | C2 | semidirect |
| 11. C19×#496 | C2 | semidirect |
| 109. C8×C19 | #41 | semidirect |
| 135. #496 | D19 | semidirect |
| 180. C19 | #3180 | semidirect |
| 248. C8 | #64543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927092 | 2 |
| #11927073 | 2 |
| #11926953 | 2 |
| #11926908 | 2 |
| #11926903 | 2 |
| #11926777 | 2 |
| #11926770 | 2 |
| #11926656 | 2 |
| #11926645 | 2 |
| #97×D19 | 2 |
| C19×#496 | 2 |
| #3180 | 19 |