Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
366 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11927099 | C2 | semidirect |
| 3. #11926952 | C2 | semidirect |
| 4. #11926907 | C2 | semidirect |
| 5. #11926871 | C2 | semidirect |
| 6. #11926867 | C2 | semidirect |
| 7. #11926835 | C2 | semidirect |
| 8. #11926834 | C2 | semidirect |
| 9. #11926821 | C2 | semidirect |
| 10. #11926600 | C2 | semidirect |
| 11. C19×#474 | C2 | semidirect |
| 142. #474 | D19 | semidirect |
| 181. C19 | #3235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #11927091 | 2 |
| #11926952 | 2 |
| #11926907 | 2 |
| #11926871 | 2 |
| #11926867 | 2 |
| #11926835 | 2 |
| #11926834 | 2 |
| #11926821 | 2 |
| #11926600 | 2 |
| C19×#474 | 2 |
| #3235 | 19 |