Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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×#10597354 | C2 | semidirect |
| 2. C22×#64525 | C2 | semidirect |
| 3. #11927111 | C2 | semidirect |
| 4. #11927018 | C2 | semidirect |
| 5. #11926758 | C2 | semidirect |
| 6. #11926738 | C2 | semidirect |
| 7. #11926572 | C2 | semidirect |
| 8. #11926538 | C2 | semidirect |
| 9. C19×#418 | C2 | semidirect |
| 16. #10597386 | C22 | semidirect |
| 18. #10597382 | C22 | semidirect |
| 24. C2×D152 | C22 | semidirect |
| 25. C2×#64516 | C22 | semidirect |
| 26. #10597339 | C22 | semidirect |
| 29. C19×#102 | C22 | semidirect |
| 30. Dic19⋊C8 | C22 | semidirect |
| 31. #10597267 | C22 | semidirect |
| 32. #10597266 | C22 | semidirect |
| 46. C2×D76 | D4 | semidirect |
| 123. #418 | D19 | semidirect |
| 153. #102 | C2×D19 | semidirect |
| 154. C19 | #3041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| C22×#64525 | 2 |
| #11927111 | 2 |
| #11927018 | 2 |
| #11926758 | 2 |
| #11926738 | 2 |
| #11926572 | 2 |
| #11926538 | 2 |
| C19×#418 | 2 |
| #3041 | 19 |