Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. #11927101 | C2 | semidirect |
| 3. #11926875 | C2 | semidirect |
| 4. #11926835 | C2 | semidirect |
| 5. #11926750 | C2 | semidirect |
| 7. C4×#64516 | C2 | semidirect |
| 8. C19×#431 | C2 | semidirect |
| 23. #10597315 | C22 | semidirect |
| 24. #10597315 | C22 | semidirect |
| 26. C4×Dic38 | C22 | semidirect |
| 27. C19×C4⋊C8 | C22 | semidirect |
| 29. C4×C8×C19 | C22 | semidirect |
| 31. #10597274 | C22 | semidirect |
| 32. #10597273 | C22 | semidirect |
| 71. C2×C4×C19 | SD16 | semidirect |
| 115. #431 | D19 | semidirect |
| 140. C4⋊C8 | C2×D19 | semidirect |
| 144. C4×C8 | C2×D19 | semidirect |
| 145. C19 | #3101 | semidirect |
| 195. C2×C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| C2×C4×D76 | 2 |
| #11926875 | 2 |
| #11926835 | 2 |
| #11926750 | 2 |
| #11926697 | 2 |
| C4×#64516 | 2 |
| C19×#431 | 2 |
| #3101 | 19 |