Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
610 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 610 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 |
|---|---|---|
| 3. C2×#10597372 | C2 | semidirect |
| 4. #11926477 | C2 | semidirect |
| 5. #11926466 | C2 | semidirect |
| 6. #11926439 | C2 | semidirect |
| 7. #11926434 | C2 | semidirect |
| 9. #11926417 | C2 | semidirect |
| 10. #11926407 | C2 | semidirect |
| 11. C22×C4⋊C4×C19 | C2 | semidirect |
| 144. C22×C4⋊C4 | D19 | semidirect |
| 186. C19 | #2413 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597375 | 2 |
| C2×#10597372 | 2 |
| #11926477 | 2 |
| #11926466 | 2 |
| #11926439 | 2 |
| #11926434 | 2 |
| #11926423 | 2 |
| #11926417 | 2 |
| #11926407 | 2 |
| C22×C4⋊C4×C19 | 2 |
| #2413 | 19 |