Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
568 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 157 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×C4×Dic38 | C2 | semidirect |
| 3. #11926484 | C2 | semidirect |
| 4. #11926471 | C2 | semidirect |
| 6. #11926457 | C2 | semidirect |
| 7. C4×(C2×D19)⋊C4 | C2 | semidirect |
| 8. C19×#376 | C2 | semidirect |
| 99. #376 | D19 | semidirect |
| 123. C19 | #2398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic38 | 2 |
| C2×C4×D76 | 2 |
| #11926484 | 2 |
| #11926471 | 2 |
| #11926462 | 2 |
| #11926457 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| C19×#376 | 2 |
| #2398 | 19 |