Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
548 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 131 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×#10597357 | C2 | semidirect |
| 2. #11927092 | C2 | semidirect |
| 3. C4×D4×D19 | C2 | semidirect |
| 4. #11926758 | C2 | semidirect |
| 5. #11926757 | C2 | semidirect |
| 6. #11926750 | C2 | semidirect |
| 7. #11926749 | C2 | semidirect |
| 8. #11926736 | C2 | semidirect |
| 9. #11926566 | C2 | semidirect |
| 10. #11926542 | C2 | semidirect |
| 11. C19×#459 | C2 | semidirect |
| 16. C19×#127 | C22 | semidirect |
| 20. #10597382 | C22 | semidirect |
| 36. #10597315 | C22 | semidirect |
| 37. C19×C4⋊C8 | C22 | semidirect |
| 38. C19×#102 | C22 | semidirect |
| 39. #10597289 | C22 | semidirect |
| 40. #10597273 | C22 | semidirect |
| 41. Dic19⋊C8 | C22 | semidirect |
| 42. #10597267 | C22 | semidirect |
| 43. C4⋊(C19⋊C8) | C22 | semidirect |
| 57. D4×D19 | D4 | semidirect |
| 146. C4×C19 | AGL(1,ℤ/8) | semidirect |
| 162. #459 | D19 | semidirect |
| 182. #127 | C2×D19 | semidirect |
| 199. C4⋊C8 | C2×D19 | semidirect |
| 203. #102 | C2×D19 | semidirect |
| 204. C19 | #3036 | semidirect |
| 311. C4 | #10597357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597357 | 2 |
| #11927092 | 2 |
| C4×D4×D19 | 2 |
| #11926758 | 2 |
| #11926757 | 2 |
| #11926750 | 2 |
| #11926749 | 2 |
| #11926736 | 2 |
| #11926566 | 2 |
| #11926542 | 2 |
| C19×#459 | 2 |
| #3036 | 19 |