Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
256 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 67 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. M32×D19 | C2 | semidirect |
| 3. #108×D19 | C2 | semidirect |
| 4. #11926358 | C2 | semidirect |
| 5. #11926357 | C2 | semidirect |
| 6. #11926356 | C2 | semidirect |
| 7. C19×#361 | C2 | semidirect |
| 18. C19×M32 | C22 | semidirect |
| 19. C19×#108 | C22 | semidirect |
| 21. #10597276 | C22 | semidirect |
| 22. #10597269 | C22 | semidirect |
| 97. #361 | D19 | direct (N × H) |
| 103. D19 | #361 | direct (N × H) |
| 116. M32 | C2×D19 | semidirect |
| 120. #108 | C2×D19 | semidirect |
| 121. C19 | C2×#361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D19 | 2 |
| M32×D19 | 2 |
| #108×D19 | 2 |
| #11926358 | 2 |
| #11926357 | 2 |
| #11926356 | 2 |
| C19×#361 | 2 |
| C2×#361 | 19 |