Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
532 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#10597355 | C2 | semidirect |
| 3. C22×Dic76 | C2 | semidirect |
| 4. #11927120 | C2 | semidirect |
| 5. #11926938 | C2 | semidirect |
| 6. #11926928 | C2 | semidirect |
| 7. #11926924 | C2 | semidirect |
| 8. C19×#405 | C2 | semidirect |
| 100. #405 | D19 | semidirect |
| 126. C19 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| C2×#10597350 | 2 |
| C22×Dic76 | 2 |
| #11927120 | 2 |
| #11926938 | 2 |
| #11926928 | 2 |
| #11926924 | 2 |
| C19×#405 | 2 |
| #3156 | 19 |