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×#10597292 | C2 | semidirect |
| 5. #11926307 | C2 | semidirect |
| 6. #11926306 | C2 | semidirect |
| 7. C2×C19×#103 | C2 | semidirect |
| 13. #10597392 | C4 | semidirect |
| 127. C2×#103 | 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×#10597392 | 2 |
| C2×#10597292 | 2 |
| #11926401 | 2 |
| #11926307 | 2 |
| #11926306 | 2 |
| C2×C19×#103 | 2 |
| #1894 | 19 |