Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
120 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 2. #11926366 | C2 | semidirect |
| 3. #11926365 | C2 | semidirect |
| 5. C19×#499 | C2 | semidirect |
| 48. #499 | D19 | semidirect |
| 65. C19 | #2231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926662 | 2 |
| #11926366 | 2 |
| #11926365 | 2 |
| #11926353 | 2 |
| C19×#499 | 2 |
| #2231 | 19 |