Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
270 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 270 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. #11926518 | C2 | semidirect |
| 3. #11926336 | C2 | semidirect |
| 4. C19×#410 | C2 | semidirect |
| 6. C22×D76 | C4 | semidirect |
| 8. #10597393 | C4 | semidirect |
| 15. #10597372 | C4 | semidirect |
| 17. C19×#99 | C22 | semidirect |
| 19. #10597291 | C22 | semidirect |
| 97. #410 | D19 | semidirect |
| 119. #99 | C2×D19 | semidirect |
| 120. C19 | #2128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927108 | 2 |
| #11926518 | 2 |
| #11926336 | 2 |
| C19×#410 | 2 |
| #2128 | 19 |