Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
836 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 836 conjugacy classes of subgroups — too many to draw. Only its 169 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×#10597390 | C2 | semidirect |
| 3. C2×#10597393 | C2 | semidirect |
| 4. #11926459 | C2 | semidirect |
| 5. #11926449 | C2 | semidirect |
| 6. #11926445 | C2 | semidirect |
| 7. #11926415 | C2 | semidirect |
| 8. C4×C22⋊Dic19 | C2 | semidirect |
| 9. C2×C19×C22⋊Q8 | C2 | semidirect |
| 103. C2×Dic19 | #41 | semidirect |
| 133. C2×C22⋊Q8 | D19 | semidirect |
| 169. C19 | #2432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64541 | 2 |
| C2×#10597390 | 2 |
| C2×#10597393 | 2 |
| #11926459 | 2 |
| #11926449 | 2 |
| #11926445 | 2 |
| #11926415 | 2 |
| C4×C22⋊Dic19 | 2 |
| C2×C19×C22⋊Q8 | 2 |
| #2432 | 19 |