Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11927089 | C2 | semidirect |
| 2. #11926948 | C2 | semidirect |
| 3. #11926919 | C2 | semidirect |
| 4. #11926889 | C2 | semidirect |
| 5. #11926780 | C2 | semidirect |
| 6. #11926778 | C2 | semidirect |
| 7. D8×Dic19 | C2 | semidirect |
| 8. #11926626 | C2 | semidirect |
| 9. #11926624 | C2 | semidirect |
| 10. C2×C8×Dic19 | C2 | semidirect |
| 11. C19×#466 | C2 | semidirect |
| 89. C2×Dic19 | D8 | semidirect |
| 99. C8×C19 | #41 | semidirect |
| 101. C19⋊C8 | #41 | semidirect |
| 128. #466 | D19 | semidirect |
| 166. C19 | #3169 | semidirect |
| 229. C8 | #64543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927089 | 2 |
| #11926948 | 2 |
| #11926919 | 2 |
| #11926889 | 2 |
| #11926780 | 2 |
| #11926778 | 2 |
| D8×Dic19 | 2 |
| #11926626 | 2 |
| #11926624 | 2 |
| C2×C8×Dic19 | 2 |
| C19×#466 | 2 |
| #3169 | 19 |