Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
264 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 264 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 |
|---|---|---|
| 2. #11926528 | C2 | semidirect |
| 3. #11926333 | C2 | semidirect |
| 4. #11926330 | C2 | semidirect |
| 5. C19×#410 | C2 | semidirect |
| 7. C22×C4×D19 | C4 | semidirect |
| 11. #10597383 | C4 | semidirect |
| 13. #10597381 | C4 | semidirect |
| 17. #10597372 | C4 | semidirect |
| 111. #410 | D19 | semidirect |
| 137. C19 | #2120 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927051 | 2 |
| #11926528 | 2 |
| #11926333 | 2 |
| #11926330 | 2 |
| C19×#410 | 2 |
| #2120 | 19 |