Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11927094 | C2 | semidirect |
| 2. #11926934 | C2 | semidirect |
| 3. #11926903 | C2 | semidirect |
| 4. #11926756 | C2 | semidirect |
| 5. #11926683 | C2 | semidirect |
| 6. #11926678 | C2 | semidirect |
| 7. #11926601 | C2 | semidirect |
| 8. C2×C19×#124 | C2 | semidirect |
| 19. C2×#64527 | C22 | semidirect |
| 24. #10597320 | C22 | semidirect |
| 26. C4×D76 | C22 | semidirect |
| 27. #10597315 | C22 | semidirect |
| 28. #10597292 | C22 | semidirect |
| 31. C4⋊(C19⋊C8) | C22 | semidirect |
| 32. #10597260 | C22 | semidirect |
| 116. C2×#124 | D19 | semidirect |
| 153. C19 | #3213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| #11926934 | 2 |
| #11926903 | 2 |
| #11926756 | 2 |
| #11926683 | 2 |
| #11926678 | 2 |
| #11926601 | 2 |
| C2×C19×#124 | 2 |
| #3213 | 19 |