Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#10597378 | C2 | semidirect |
| 2. C2×#10597350 | C2 | semidirect |
| 3. #11927111 | C2 | semidirect |
| 4. #11927025 | C2 | semidirect |
| 5. #11926765 | C2 | semidirect |
| 6. #11926758 | C2 | semidirect |
| 7. #11926743 | C2 | semidirect |
| 8. #11926738 | C2 | semidirect |
| 9. #11926570 | C2 | semidirect |
| 10. #11926543 | C2 | semidirect |
| 11. C2×C19×#102 | C2 | semidirect |
| 28. C2×Dic76 | C22 | semidirect |
| 30. C2×D152 | C22 | semidirect |
| 31. C2×#64516 | C22 | semidirect |
| 32. C2×#64516 | C22 | semidirect |
| 33. #10597339 | C22 | semidirect |
| 36. #10597333 | C22 | semidirect |
| 39. Dic19⋊C8 | C22 | semidirect |
| 40. Dic19⋊C8 | C22 | semidirect |
| 41. #10597267 | C22 | semidirect |
| 42. #10597266 | C22 | semidirect |
| 57. #64541 | D4 | semidirect |
| 158. C2×#102 | D19 | semidirect |
| 197. C19 | #3045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597378 | 2 |
| C2×#10597350 | 2 |
| #11927111 | 2 |
| #11927025 | 2 |
| #11926765 | 2 |
| #11926758 | 2 |
| #11926743 | 2 |
| #11926738 | 2 |
| #11926570 | 2 |
| #11926543 | 2 |
| C2×C19×#102 | 2 |
| #3045 | 19 |