Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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. C2×#10597397 | C2 | semidirect |
| 2. C22×#64526 | C2 | semidirect |
| 3. #11927021 | C2 | semidirect |
| 4. #11926763 | C2 | semidirect |
| 5. #11926741 | C2 | semidirect |
| 6. #11926571 | C2 | semidirect |
| 7. #11926549 | C2 | semidirect |
| 8. #11926540 | C2 | semidirect |
| 19. C2×#64528 | C22 | semidirect |
| 22. C2×#64526 | C22 | semidirect |
| 28. C4×Dic38 | C22 | semidirect |
| 29. #10597292 | C22 | semidirect |
| 31. #10597289 | C22 | semidirect |
| 32. C4⋊(C19⋊C8) | C22 | semidirect |
| 49. C2×Dic38 | D4 | semidirect |
| 149. C19 | #3043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| C22×#64526 | 2 |
| #11927021 | 2 |
| #11926763 | 2 |
| #11926741 | 2 |
| #11926571 | 2 |
| #11926549 | 2 |
| #11926540 | 2 |
| C19×#535 | 2 |
| #3043 | 19 |