Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
612 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 197 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×#10597333 | C2 | semidirect |
| 4. #11926450 | C2 | semidirect |
| 5. #11926438 | C2 | semidirect |
| 6. #11926416 | C2 | semidirect |
| 7. #11926413 | C2 | semidirect |
| 8. #11926390 | C2 | semidirect |
| 18. #10597382 | C4 | semidirect |
| 46. C2×Dic38 | C2×C4 | semidirect |
| 51. C22⋊Dic19 | C2×C4 | semidirect |
| 56. C4×Dic19 | C2×C4 | semidirect |
| 141. C19 | #2326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597382 | 2 |
| C2×#10597333 | 2 |
| C2×D4×Dic19 | 2 |
| #11926450 | 2 |
| #11926438 | 2 |
| #11926416 | 2 |
| #11926413 | 2 |
| #11926390 | 2 |
| C19×#390 | 2 |
| #2326 | 19 |