Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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×#10597273 | C2 | semidirect |
| 4. C2×#10597267 | C2 | semidirect |
| 6. #11926306 | C2 | semidirect |
| 7. C19×#340 | C2 | semidirect |
| 22. #10597343 | C4 | semidirect |
| 130. #340 | D19 | semidirect |
| 157. C19 | #1894 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64515 | 2 |
| C2×#10597343 | 2 |
| C2×#10597273 | 2 |
| C2×#10597267 | 2 |
| #11926401 | 2 |
| #11926306 | 2 |
| C19×#340 | 2 |
| #1894 | 19 |