Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
408 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 123 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. #11927215 | C2 | semidirect |
| 2. #11926892 | C2 | semidirect |
| 3. #11926868 | C2 | semidirect |
| 4. #11926836 | C2 | semidirect |
| 5. #11926778 | C2 | semidirect |
| 6. #11926739 | C2 | semidirect |
| 7. #11926687 | C2 | semidirect |
| 8. C4×#64526 | C2 | semidirect |
| 9. D4×C19⋊C8 | C2 | semidirect |
| 10. #11926538 | C2 | semidirect |
| 11. C19×#555 | C2 | semidirect |
| 127. #555 | D19 | semidirect |
| 173. C19 | #3305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927215 | 2 |
| #11926892 | 2 |
| #11926868 | 2 |
| #11926836 | 2 |
| #11926778 | 2 |
| #11926739 | 2 |
| #11926687 | 2 |
| C4×#64526 | 2 |
| D4×C19⋊C8 | 2 |
| #11926538 | 2 |
| C19×#555 | 2 |
| #3305 | 19 |