Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
704 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 161 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. C2×#10597393 | C2 | semidirect |
| 3. C2×D4×Dic19 | C2 | semidirect |
| 4. #11926459 | C2 | semidirect |
| 5. #11926451 | C2 | semidirect |
| 6. #11926446 | C2 | semidirect |
| 7. #11926421 | C2 | semidirect |
| 8. C4×Dic19⋊C4 | C2 | semidirect |
| 9. C2×C19×#124 | C2 | semidirect |
| 63. C4×Dic19 | D4 | semidirect |
| 123. C2×#124 | D19 | semidirect |
| 158. C19 | #2544 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597386 | 2 |
| C2×#10597393 | 2 |
| C2×D4×Dic19 | 2 |
| #11926459 | 2 |
| #11926451 | 2 |
| #11926446 | 2 |
| #11926421 | 2 |
| C4×Dic19⋊C4 | 2 |
| C2×C19×#124 | 2 |
| #2544 | 19 |