Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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. C2×#10597382 | C2 | semidirect |
| 3. #41×Dic19 | C2 | semidirect |
| 4. #11926764 | C2 | semidirect |
| 5. #11926757 | C2 | semidirect |
| 6. #11926567 | C2 | semidirect |
| 7. #11926554 | C2 | semidirect |
| 8. #11926549 | C2 | semidirect |
| 19. Q8×Dic19 | C22 | semidirect |
| 20. C2×#64528 | C22 | semidirect |
| 25. D4×Dic19 | C22 | semidirect |
| 26. C2×#64526 | C22 | semidirect |
| 33. #10597273 | C22 | semidirect |
| 34. Dic19⋊C8 | C22 | semidirect |
| 160. C19 | #3040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| C2×#10597382 | 2 |
| #41×Dic19 | 2 |
| #11926764 | 2 |
| #11926757 | 2 |
| #11926567 | 2 |
| #11926554 | 2 |
| #11926549 | 2 |
| C2×C19×AGL(1,ℤ/8) | 2 |
| #3040 | 19 |