Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
254 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 65 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. #11926554 | C2 | semidirect |
| 5. C2×#10597281 | C2 | semidirect |
| 6. #11926316 | C2 | semidirect |
| 7. C19×#430 | C2 | semidirect |
| 102. #430 | D19 | semidirect |
| 130. C19 | #2049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| #11926560 | 2 |
| #11926554 | 2 |
| #11926526 | 2 |
| C2×#10597281 | 2 |
| #11926316 | 2 |
| C19×#430 | 2 |
| #2049 | 19 |