Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
306 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #11926305 | C2 | semidirect |
| 5. #11926304 | C2 | semidirect |
| 6. #11926303 | C2 | semidirect |
| 7. C19×#339 | C2 | semidirect |
| 16. #10597338 | C4 | semidirect |
| 17. #10597338 | C4 | semidirect |
| 18. C4⋊C4×D19 | C4 | semidirect |
| 19. C4⋊C4×D19 | C4 | semidirect |
| 138. #339 | D19 | semidirect |
| 165. C19 | #1826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #117×D19 | 2 |
| #11926507 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| #11926305 | 2 |
| #11926304 | 2 |
| #11926303 | 2 |
| C19×#339 | 2 |
| #1826 | 19 |